aboutsummaryrefslogtreecommitdiff
path: root/docs/bqn.js
blob: 21e884f15c55df3f351c1ad5698374a21236209e (plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
"use strict";
// Virtual machine
let has = x => x!==undefined;
let isnum = x => typeof x === "number"
let isfunc = x => typeof x === "function"
let call = (f,x,w) => {
  if (x===undefined) return x;
  if (!isfunc(f)) return f;
  if (f.m) throw Error("Runtime: Cannot call modifier as function");
  return f(x, w);
}

let getrev = names => {
  let m=names.rev;
  if (m) return m;
  m={}; names.forEach((s,i)=>m[s]=i);
  return names.rev=m;
}
let findkey = (ns, names, i) => {
  let nn=ns.names;
  return ns[nn===names ? i : getrev(nn)[names[i]]];
}
let readns_sub = (v, names, i) => {
  let ni = findkey(v.ns, names, i);
  if (!has(ni)) throw Error("Unknown namespace key: "+names[i]);
  return v[ni];
}
let readns_assign = (v, vid, i) => readns_sub(v, vid.names, vid[i]);
let readns = (v, vid, i) => {
  if (!v.ns) throw Error("Key lookup in non-namespace");
  return readns_sub(v, vid.names, i);
}
let makens = (keys, vals) => {
  let n = Array(keys.length).fill().map((_,i)=>i);
  n.names=keys.map(k=>k.toLowerCase()); vals.ns=n; return vals;
}
let obj2ns = (obj, keys, f) => makens(keys, keys.map(k=>(f?f:(v=>v))(obj[k])));
let listkeys = (x,w) => {
  let s=x.ns, k=Object.keys(s).filter(n=>!isNaN(n));
  return list(k.map(n=>s.names[+n]).sort().map(str));
}

let getv= (a,i) => { let v=a[i]; if (v===null) throw Error("Runtime: Variable referenced before definition"); return v; }
let get = x => x.e ? getv(x.e,x.p) : arr(x.map(c=>get(c)), x.sh);
let set = (d, id, v) => {
  let eq = (a,b) => a.length===b.length && a.every((e,i)=>e===b[i]);
  if (id.e) {
    if (!d && id.e[id.p]===null) throw Error("↩: Variable modified before definition");
    id.e[id.p] = v;
  } else if (id.match) {
    if (has(id.v) && !call(runtime[18],id.v,v)) throw Error();
  } else {
    if (v.sh) {
      if (!eq(id.sh,v.sh)) throw Error("← or ↩: Target and value shapes don't match");
      id.map((n,j)=>set(d,n,v[j]));
    } else if (v.ns) {
      id.map(n=>{
        if (n.e) {
          let vid=n.e.vid; set(d,n,readns_assign(v, vid, n.p));
        } else if (n.m) {
          set(d, n.m, readns(v, n.vid, n.a));
        } else {
          throw Error("← or ↩: Cannot extract non-name from namespace");
        }
      });
    } else {
      throw Error("← or ↩: Multiple targets but atomic value");
    }
  }
  return v;
}

let chkM = (v,m) => { if (m.m!==v) throw Error("Runtime: Only a "+v+"-modifier can be called as a "+v+"-modifier"); }
let genjs = (B, p, L) => { // Bytecode -> Javascript compiler
  let rD = 0;
  let r = L?"let l=0;try{":"";
  let fin = L?"}catch(er){let s=L.map(p=>p[l]);s.sh=[1,2];let m=[s,er.message];m.loc=1;m.src=e.vid.src;m.sh=[2];er.message=m;throw er;}":"";
  let szM = 1;
  let rV = n => { szM=Math.max(szM,n+1); return 'v'+n; };
  let rP = val => rV(rD++) + "="+val+";";
  let rG = () => rV(--rD);
  let num = () => { return B[p++]; }
  let ge = n => "e"+".p".repeat(n);
  loop: while(true) { r+="\n";
    if (p>B.length) throw Error("Internal compiler error: Unclosed function");
    if (L) r+="l="+p+";";
    switch(B[p++]) {
      case  0:         { r+= rP("O["+num()+"]");                                                                              break; }
      case  1:         { r+= rP("D["+num()+"](e)");                                                                           break; }
      case  6:         { rD--;                                                                                                break; }
      case  7:         { if(rD!==1) throw Error("Internal compiler error: Wrong stack size"); r+= "return v0;";               break loop; }
      case  8:         { r+= "e.ns=e.vid.ns;return e;";                                                                       break loop; }
      case 11:case 12: { let n=num(); rD-= n;      r+=rP("llst(["+(new Array(n).fill().map((_,i)=>rV(rD+i)).join(","))+"])"); break; }
      case 16:case 18: { let        f=rG(),x=rG(); r+=rP("call("+f+","+x      +")");                                          break; }
      case 17:case 19: { let w=rG(),f=rG(),x=rG(); r+=rP("call("+f+","+x+","+w+")");                                          break; }
      case 20:         { let        g=rG(),h=rG(); r+=rP("train2("      +g+","+h+")");                                        break; }
      case 21:case 23: { let f=rG(),g=rG(),h=rG(); r+=rP("train3("+f+","+g+","+h+")");                                        break; }
      case 26:         { let f=rG(),m=rG();        r+="chkM(1,"+m+");"+rP(m+"("+f      +")");                                 break; }
      case 27:         { let f=rG(),m=rG(),g=rG(); r+="chkM(2,"+m+");"+rP(m+"("+f+","+g+")");                                 break; }
      case 22:         { r+= "if(undefined==="+rV(rD-1)+")throw Error('Left argument required');";                            break; }
      case 32:case 34: { r+= rP("getv("+ge(num())+","+num()+")");                                                             break; }
      case 33:         { r+= rP("{e:"+ge(num())+",p:"+num()+"}");                                                             break; }
      case 42:         { let p=rG(); r+="if(1!=="+p+"){if(0!=="+p+")throw Error('Predicate value must be 0 or 1');break;}";   break; }
      case 43:         { let m=rG(); r+=rP("{match:1,v:"+m+"}");                                                              break; }
      case 44:         {             r+=rP("{match:1}");                                                                      break; }
      case 47:         { let i=rG(),       v=rG(); r+="try{set(1,"+i+","+v+");}catch(e){break;}";                             break; }
      case 48:         { let i=rG(),       v=rG(); r+=rP("set(1,"+i+","+v                       +")");                        break; }
      case 49:         { let i=rG(),       v=rG(); r+=rP("set(0,"+i+","+v                       +")");                        break; }
      case 50:         { let i=rG(),f=rG(),x=rG(); r+=rP("set(0,"+i+",call("+f+","+x+",get("+i+")))");                        break; }
      case 51:         { let i=rG(),f=rG()       ; r+=rP("set(0,"+i+",call("+f+      ",get("+i+")))");                        break; }
      case 66:         { let m=rG(); r+=rP("{vid:e.vid,m:"+m+",a:"+num()+"}");                                                break; }
      case 64:         { let v=rG(); r+=rP("readns("+v+",e.vid,"+num()+")");                                                  break; }
    }
  }
  return "let "+new Array(szM).fill().map((_,i)=>rV(i)).join(',')+";"+r+fin;
}
let run = (B,O,F,S,L,T,src,env) => { // Bytecode, Objects, Blocks, Bodies, Locations, Tokenization, source
  let train2=(  g,h)=>{                              let t=(x,w)=>call(g,call(h,x,w));            t.repr=()=>[2,  g,h];return t;}
  let train3=(f,g,h)=>{if(!has(f))return train2(g,h);let t=(x,w)=>call(g,call(h,x,w),call(f,x,w));t.repr=()=>[3,f,g,h];return t;}
  let repdf = ["","4,f,mod","5,f,mod,g"].map(s=>s?"fn.repr=()=>["+s+"];":s);

  let D = F.map(([type,imm,ind],i) => {
    let I = imm ? 0 : 3; // Operand start
    let sp = (type===0?0:type+1) + I;
    let useenv = i===0 && env;
    let gen = j => {
      let [pos,varam,vid,vex] = S[j];
      let ns = {}; if (vex) vex.forEach((e,j)=>{if(e)ns[vid[j]]=j+sp;});
      vid = (new Array(sp).fill(null)).concat(vid); vid.src=src; vid.ns=ns;
      if (T) ns.names = vid.names = T[2][0].map(s=>s.join(""));
      return [genjs(B, pos, L), vid];
    }

    let c,vid,def;
    if (isnum(ind)) {
      [c,vid] = gen(ind);
      c="do {"+c+"} while (0);\nthrow Error('No matching case');\n";
      if (useenv) { c =          "const e=env;"+c; env.vid=vid; }
      else if (imm) c =          "const e=[...e2];e.vid=vid;e.p=oe;"+c;
      else c = "const fn=(x, w)=>{const e=[...e2];e.vid=vid;e.p=oe;e[0]=fn;e[1]=x;e[2]=w;"+c+"};"+repdf[type]+"return fn;";
      def = useenv ? "env" : ("new Array("+vid.length+").fill(null)");
    } else {
      if (imm !== +(ind.length<2)) throw "Internal error: malformed block info";
      let cache=[]; // Avoid generating a shared case twice
      vid=[]; let g = j => {
        let [c,v] = cache[j] || (cache[j] = gen(j));
        c = "const e=[...e1];e.vid=vid["+vid.length+"];e.p=oe;e.length="+v.length+";e.fill(null,"+sp+");"+c;
        vid.push(v);
        return "do {"+c+"} while (0);\n"
      }
      if (ind.length===3) ind[3]=[];
      let cases = ind.map((js,i) => {
        let e = js.length?"No matching case":"Left argument "+(i?"not allowed":"required");
        return js.map(g).concat(["throw Error('"+e+"');\n"]).join("");
      });
      let fn = b => "(x, w)=>{const e1=[...e2];e1[0]=fn;e1[1]=x;e1[2]=w;\n"+b+"\n};";
      let combine = ([mon,dy]) =>
        fn("if (w===undefined) {\n"+mon+"} else {\n"+dy+"}");
      def = "new Array("+sp+").fill(null)";
      if (imm) c = "const e1=[...e2];"+cases[0];
      else {
        c = "const fn="+combine(cases)+repdf[type];
        if (cases.length > 2) {
          c += "fn.inverse="+combine(cases.slice(2));
          if (cases[4]) c += "fn.sinverse="+fn("if(!has(w))throw Error('No matching case');"+cases[4]);
        }
        c += "return fn;";
      }
    }

    let de2 = "let e2="+def+";"
    if (type===0) c = de2+c;
    if (type===1) c = "const mod=(f  ) => {"+de2+" e2["+I+"]=mod;e2["+(I+1)+"]=f;"                +c+"}; mod.m=1;return mod;";
    if (type===2) c = "const mod=(f,g) => {"+de2+" e2["+I+"]=mod;e2["+(I+1)+"]=f;e2["+(I+2)+"]=g;"+c+"}; mod.m=2;return mod;";
    return Function("'use strict'; return (chkM,has,call,getv,get,set,llst,train2,train3,readns,O,L,env,vid) => D => oe => {"+c+"};")()
                                          (chkM,has,call,getv,get,set,llst,train2,train3,readns,O,L,env,vid);
  });
  D.forEach((d,i) => {D[i]=d(D)});
  return D[0]([]);
}

// Runtime
let assertFn = pre => (x,w) => {
  if (x!==1) throw {kind:pre, message:has(w)?w:x}; return x;
}
let arr = (r,sh,fill) => {r.sh=sh;r.fill=fill;return r;}
let list = (l,fill) => arr(l,[l.length],fill);
let llst = l => list(l, l.length>0&&l.every(isnum)?0:undefined);
let str = s => list(Array.from(s), ' ');
let unstr = s => s.join("");
let setrepr = (r,f) => {f.repr=r; return f;}
let m1 = m=>{let r= f   =>setrepr(()=>[4,f,r  ], m(f  )); r.m=1; return r;}
let m2 = m=>{let r=(f,g)=>setrepr(()=>[5,f,r,g], m(f,g)); r.m=2; return r;}
let ctrans = (c,t) => String.fromCodePoint(c.codePointAt(0)+t);
let plus = (x,w) => {
  if (!has(w)) return x;
  let s=typeof w, t=typeof x;
  if (s==="number" && t==="number") return w+x;
  if (s==="number" && t==="string") return ctrans(x,w);
  if (s==="string" && t==="number") return ctrans(w,x);
  if (s==="string" && t==="string") throw Error("+: Cannot add two characters");
  throw Error("+: Cannot add non-data values");
}
let minus = (x,w) => {
  if (!isnum(x)) {
    if (has(w)&&typeof w==="string") return w.codePointAt(0)-x.codePointAt(0);
    throw Error("-: Can only negate numbers");
  }
  if (!has(w)) return -x;
  let s=typeof w;
  if (s==="number") return w-x;
  if (s==="string") return ctrans(w,-x);
  throw Error("-: Cannot subtract from non-data value");
}
let times = (x,w) => {
  if (isnum(x)&&isnum(w)) return x*w;
  throw Error("×: Arguments must be numbers");
}
let divide = (x,w) => {
  if (isnum(x)&&(!has(w)||isnum(w))) return (has(w)?w:1)/(x===0?0:x);
  throw Error("÷: Arguments must be numbers");
}
let power = (x,w) => {
  if (isnum(x)) {
    if (!has(w)) return Math.exp(x);
    if (isnum(w)) return Math.pow(w===0?0:w,x);
  }
  throw Error("⋆: Arguments must be numbers");
}
let log = (x,w) => {
  if (isnum(x)) {
    if (!has(w)) return Math.log(x);
    if (isnum(w)) return Math.log(x)/Math.log(w);
  }
  throw Error("⋆⁼: Arguments must be numbers");
}
let fc = (dy,mon,gl) => (x,w) => {
  if (has(w)) return dy(w,x);
  if (isnum(x)) return mon(x);
  throw Error(gl+"𝕩: Argument must be a number");
}
let floor = fc(Math.min,Math.floor,"⌊");
let ceil  = fc(Math.max,Math.ceil ,"⌈");
let abs = (x,w) => {
  if (isnum(x)) return Math.abs(x);
  throw Error("|𝕩: Argument must be a number");
}
let abs_mod = (x,w) => {
  if (!has(w)) return abs(x,w);
  if (isnum(x)&&isnum(w)) {
    let r = x%w;
    return ((x<0)!=(w<0) && r!=0) ? r+w : r;
  }
  throw Error("𝕨|𝕩: Arguments must be numbers");
}
let lesseq = (x,w) => {
  let s=typeof w, t=typeof x;
  if (s==="function"||t==="function") throw Error("𝕨≤𝕩: Cannot compare operations");
  if (w.ns||x.ns) throw Error("𝕨≤𝕩: Cannot compare namespaces");
  return +(s!==t ? s<=t : w<=x);
}
let equals = (x,w) => {
  let a,b;
  if (typeof(w)!=="function" || !(a=w.repr)) return x===w;
  if (typeof(x)!=="function" || !(b=x.repr)) return false;
  b=b(); return a().every((e,i)=>call(runtime[18],e,b[i]));  // ≡
}
let table = m1(f => (x,w) => !has(w)
  ? arr(x.map(e=>call(f,e)),x.sh)
  : arr(w.map(d=>x.map(e=>call(f,e,d))).flat(),w.sh.concat(x.sh)));
let scan = m1(f => (x,w) => {
  let s=x.sh;
  if (!s||s.length===0) throw Error("`: 𝕩 must have rank at least 1");
  if (has(w)) {
    let r=w.sh, wr=r?r.length:0;
    if (1+wr!==s.length) throw Error("`: rank of 𝕨 must be cell rank of 𝕩");
    if (!r) w=[w];
    else if (!r.every((l,a)=>l===s[1+a])) throw Error("`: shape of 𝕨 must be cell shape of 𝕩");
  }
  let l=x.length,r=Array(l);
  if (l>0) {
    let c=1;for(let i=1;i<s.length;i++)c*=s[i];
    let i=0;
    if (!has(w)) { for(;i<c;i++) r[i]=x[i]; }
    else         { for(;i<c;i++) r[i]=call(f,x[i],w[i]); }
    for(;i<l;i++) r[i]=call(f,x[i],r[i-c]);
  }
  return arr(r,s,x.fill);
});
let cases = m2((f,g) => (x,w)=>has(w)?call(g,x,w):call(f,x,w));
let catches = m2((f,g) =>
  (x,w)=>{try{return call(f,x,w);}catch(e){return call(g,x,w);}});
let group_len = (x,w) => { // ≠¨⊔ for a valid list argument
  let l=x.reduce((a,b)=>Math.max(a,b),(w||0)-1);
  let r=Array(l+1).fill(0);
  x.map(e=>{if(e>=0)r[e]+=1;});
  return list(r,0);
}
let group_ord = (x,w) => { // ∾⊔x assuming w=group_len(x)
  let l=0,s=w.map(n=>{let l0=l;l+=n;return l0;});
  let r=Array(l);
  x.map((e,i)=>{if(e>=0)r[s[e]++]=i;});
  return list(r,x.fill);
}
let type = x => isfunc(x) ? 3+(x.m||0) : x.sh ? 0 : x.ns ? 6 : 2-isnum(x);
let tofill = x => isfunc(x) ? undefined
  : x.sh ? arr(x.map(tofill),x.sh,x.fill)
  : isnum(x)?0 : ' ';
let fill = (x,w) => {
  if (has(w)) {
    return arr(x.slice(),x.sh,tofill(w));
  } else {
    let f = x.fill;
    if (!has(f)) throw Error("Fill does not exist");
    return f;
  }
}
let fill_by = (f,g) => (x,w) => {
  let r = f(x,w);
  let a2fill = x => isfunc(x)?x:isnum(x)?0:' ';
  let xf=x.sh?x.fill:a2fill(x);
  if (r.sh&&has(xf)) {
    r = arr(r.slice(),r.sh);
    try {
      let wf = !has(w) ? w
             : !w.sh ? a2fill(w)
             : has(w.fill) ? w.fill : runtime[43];
      r.fill=tofill(g(xf,wf));
    } catch(e){
      r.fill=undefined;
    }
  }
  return r;
}
fill_by.m=2;

let provide = [
  type                                               // Type
 ,fill                                               // Fill
 ,log                                                // Log
 ,group_len                                          // GroupLen
 ,group_ord                                          // GroupOrd
 ,assertFn("")                                       // !
 ,plus                                               // +
 ,minus                                              // -
 ,times                                              // ×
 ,divide                                             // ÷
 ,power                                              // ⋆
 ,floor                                              // ⌊
 ,(x,w) => has(w)?+equals(x,w):x.sh?x.sh.length:0    // =
 ,lesseq                                             // ≤
 ,(x,w) => list(x.sh,0)                              // ≢
 ,(x,w) => arr(x.slice(),has(w)?w:[x.length],x.fill) // ⥊
 ,(x,w) => x[w]                                      // ⊑
 ,(x,w) => list(Array(x).fill().map((_,i)=>i),0)     // ↕
 ,table                                              // ⌜
 ,scan                                               // `
 ,fill_by                                            // _fillBy_
 ,cases                                              // ⊘
 ,catches                                            // ⎊
];

let select = (x,w) => {
  let s=x.sh, k=s.length, f=x.fill, t=w.sh, c=1;
  if (k!==1) {for(let i=1;i<k;i++)c*=s[i];t=t.concat(s.slice(1));}
  let r=Array(w.length*c);
  let j=0;
  w.forEach(i=>{for(let k=0;k<c;k++)r[j++]=x[i*c+k];});
  return arr(r,t,f);
}
let fold = f => (x,w) => {
  let l=x.sh[0];
  let r=has(w)?w:x[l=l-1];
  for (let i=l;i--;) r=call(f,r,x[i]);
  return r;
}
let runtime_0 = [
  floor                                                   // ⌊
 ,ceil                                                    // ⌈
 ,abs                                                     // |
 ,(x,w)=>has(w)?1-lesseq(w,x):arr([x],[],tofill(x))       // <
 ,(x,w)=>1-lesseq(x,w)                                    // >
 ,(x,w)=>x.sh&&x.sh.length?x.sh[0]:1                      // ≠
 ,(x,w)=>  lesseq(w,x)                                    // ≥
 ,(x,w)=>x                                                // ⊢
 ,(x,w)=>has(w)?w:x                                       // ⊣
 ,(x,w)=>arr(w.concat(x),[w.sh[0]+x.sh[0]])               // ∾
 ,(x,w)=>list(has(w)?[w,x]:[x])                           // ⋈
 ,(x,w)=>arr(x.slice(0,w),[w])                            // ↑
 ,(x,w)=>arr(x.slice(w),[x.sh[0]-w])                      // ↓
 ,select                                                  // ⊏
 ,m1(f=>(x,w)=>f)                                         // ˙
 ,m1(f=>(x,w)=>call(f,has(w)?w:x,x))                      // ˜
 ,m1(f=>(x,w)=>arr(x.map((e,i)=>call(f,e,w[i])),x.sh))    // ¨
 ,m1(fold)                                                // ´
 ,m2((f,g)=>(x,w)=>call(f,call(g,x,w)))                   // ∘
 ,m2((f,g)=>(x,w)=>call(f,call(g,x),has(w)?call(g,w):w))  // ○
 ,m2((f,g)=>(x,w)=>call(g,x,call(f,has(w)?w:x)))          // ⊸
 ,m2((f,g)=>(x,w)=>call(f,call(g,x),has(w)?w:x))          // ⟜
 ,m2((f,g)=>(x,w)=>call(g[call(f,x,w)],x,w))              // ◶
 ,m2((f,g)=>(x,w)=>call(g,x,w)?call(f,x,w):x)             // ⍟
];

let [runtime,setPrims,setInv] = run(
  [0,99,33,0,0,48,6,1,1,33,0,1,48,6,1,2,33,0,2,48,6,1,3,33,0,3,48,6,1,4,33,0,4,48,6,0,0,0,12,0,46,21,33,0,5,48,6,0,0,0,13,0,47,21,33,0,6,48,6,0,46,0,12,0,42,0,11,27,11,2,0,44,0,0,0,12,0,47,21,27,33,0,7,48,6,0,46,0,12,0,42,0,11,0,40,0,19,27,27,11,2,0,44,0,0,0,12,0,47,21,27,33,0,8,48,6,32,0,6,0,45,0,20,27,33,0,9,48,6,0,31,32,0,6,26,0,36,0,8,26,0,47,21,33,0,10,48,6,1,5,0,15,11,2,0,44,32,0,5,27,33,0,11,48,6,0,14,0,43,0,29,27,33,0,12,48,6,0,35,0,12,26,0,36,0,8,26,0,47,21,33,0,13,48,6,0,4,0,42,0,31,0,47,26,27,33,0,14,48,6,1,6,33,0,15,48,6,1,7,33,0,16,48,6,1,8,33,0,17,48,6,32,0,17,0,56,26,33,0,18,48,6,0,46,0,16,0,42,0,49,27,34,0,17,0,57,26,20,11,2,0,44,0,16,0,42,0,46,27,0,12,0,48,21,27,33,0,19,48,6,1,9,33,0,20,48,6,1,10,33,0,21,48,6,0,58,0,46,0,59,0,46,0,60,0,47,0,61,0,47,0,62,0,47,0,63,0,47,0,64,0,50,0,65,0,51,0,66,0,46,0,67,0,47,0,68,0,46,0,69,0,47,0,70,0,46,0,71,0,47,11,28,32,0,21,0,100,0,40,0,5,27,27,1,11,20,33,0,22,48,6,1,12,33,0,23,48,6,1,13,33,0,24,48,6,1,14,33,0,25,48,6,0,13,0,13,0,24,0,34,0,12,26,20,0,13,0,50,0,43,0,13,27,21,21,33,0,26,48,6,32,0,26,0,7,0,34,32,0,26,26,21,33,0,27,48,6,0,47,0,15,0,16,0,46,21,0,43,0,13,0,8,0,49,21,0,7,0,47,21,1,15,11,2,0,44,0,24,0,40,32,0,5,27,27,27,11,2,0,44,0,24,0,40,0,14,27,0,36,0,8,26,0,47,21,0,20,0,46,21,27,33,0,28,48,6,1,16,33,0,29,48,6,1,17,33,0,30,48,6,32,0,27,32,0,28,0,34,32,0,28,26,0,7,20,11,2,0,44,0,25,0,40,32,0,5,27,27,1,18,11,3,0,44,32,0,5,0,41,0,6,27,27,33,0,31,48,6,1,19,33,0,32,48,6,32,0,32,0,46,26,33,0,33,48,6,34,0,32,0,47,26,33,0,34,48,6,1,20,33,0,35,48,6,1,21,33,0,36,48,6,32,0,9,0,41,1,22,27,33,0,37,48,6,1,23,33,0,38,48,6,0,30,0,42,32,0,38,27,33,0,39,48,6,1,24,33,0,40,48,6,1,25,33,0,41,48,6,32,0,36,0,24,0,32,0,6,26,0,52,21,0,34,0,30,26,0,34,32,0,39,0,40,32,0,33,0,40,32,0,14,27,27,26,21,26,33,0,42,48,6,32,0,36,0,35,0,8,26,0,32,0,18,26,20,0,35,0,7,26,0,25,21,0,42,0,22,0,40,0,17,27,27,26,33,0,43,48,6,32,0,9,0,24,0,37,1,26,27,11,2,0,44,0,12,0,20,0,46,21,27,33,0,44,48,6,1,27,0,45,0,24,0,37,1,28,27,27,33,0,45,48,6,1,29,33,0,46,48,6,1,30,33,0,47,48,6,32,0,7,0,5,0,116,21,0,117,11,2,0,12,0,42,0,11,27,0,5,0,118,21,0,119,11,2,11,2,0,31,1,31,26,16,33,0,48,33,0,49,12,2,48,6,1,32,33,0,50,48,6,32,0,9,0,43,1,33,27,33,0,51,48,6,1,34,34,0,51,11,2,0,44,0,25,0,40,0,47,0,15,32,0,10,20,11,2,0,44,32,0,5,27,27,27,33,0,52,48,6,34,0,50,32,0,52,11,2,0,44,0,25,0,40,32,0,5,27,27,33,0,53,48,6,1,35,33,0,54,48,6,1,36,33,0,55,48,6,32,0,9,0,41,32,0,54,0,131,0,15,0,31,0,0,0,12,0,47,21,26,20,0,36,0,8,26,0,47,21,0,47,0,46,0,24,0,30,1,37,21,1,38,11,6,26,27,33,0,56,48,6,0,24,0,15,0,132,0,40,0,5,27,0,16,0,42,0,46,27,11,2,0,44,0,22,0,20,0,46,21,27,20,11,2,0,44,32,0,5,27,33,0,57,48,6,1,39,33,0,58,48,6,1,40,33,0,59,48,6,0,28,0,26,0,29,21,33,0,60,48,6,0,24,0,30,0,22,0,17,20,0,43,32,0,60,27,21,32,0,60,11,2,0,44,0,24,0,40,0,12,27,0,12,0,47,21,27,33,0,61,48,6,0,24,0,37,32,0,9,0,43,32,0,54,0,136,34,0,6,0,46,0,46,0,24,0,40,0,22,27,0,20,0,46,21,0,45,0,24,34,0,61,0,22,0,43,32,0,59,27,21,27,0,24,0,17,20,34,0,60,34,0,59,21,11,6,26,27,27,33,0,62,48,6,1,41,1,42,1,43,11,3,0,44,0,25,0,40,0,12,27,0,11,0,49,21,27,33,0,63,48,6,0,24,0,37,32,0,9,0,41,34,0,54,0,140,0,15,0,40,0,31,0,0,0,12,0,47,21,26,0,36,0,8,26,0,22,0,20,0,46,21,21,27,0,47,0,47,0,24,0,30,0,22,0,43,32,0,63,27,21,34,0,63,11,6,26,27,27,33,0,64,48,6,1,44,33,0,65,48,6,0,24,1,45,11,2,0,31,1,46,26,0,26,0,24,21,16,0,31,1,47,26,16,33,0,66,48,6,1,48,0,42,34,0,66,0,30,0,47,0,47,0,49,0,53,0,46,11,5,17,32,0,16,0,141,27,27,33,0,67,48,6,1,49,33,0,68,48,6,1,50,33,0,69,48,6,1,51,33,0,70,48,6,1,52,33,0,71,48,6,0,46,0,12,0,42,0,33,32,0,71,26,27,11,2,0,44,0,0,0,12,0,53,21,27,33,0,72,48,6,0,24,32,0,5,20,0,12,0,41,0,12,27,0,14,0,41,32,0,13,27,11,3,0,36,1,53,26,16,33,0,73,48,6,1,54,33,0,74,48,6,32,0,5,0,41,0,12,27,0,46,11,2,0,24,0,40,32,0,5,27,0,12,11,2,0,12,0,41,0,12,27,0,46,11,2,0,14,0,41,32,0,13,27,0,46,11,2,1,55,11,5,0,36,1,56,26,16,33,0,75,48,6,0,46,1,57,11,2,0,44,32,0,5,27,33,0,76,48,6,32,0,75,0,38,32,0,76,27,33,0,77,48,6,32,0,75,0,7,0,47,21,0,38,0,46,0,17,16,0,14,11,2,0,44,32,0,5,27,27,33,0,78,48,6,32,0,77,0,40,0,5,27,0,25,0,24,21,33,0,79,48,6,0,15,0,40,0,1,0,37,0,24,27,0,36,32,0,79,0,37,0,24,27,26,11,2,0,44,0,22,0,20,0,46,21,27,27,33,0,80,48,6,0,46,0,17,16,0,43,0,25,0,40,0,0,27,0,13,0,53,21,0,45,0,72,27,0,37,0,24,27,27,0,1,20,0,12,0,46,21,33,0,81,48,6,1,58,33,0,82,48,6,32,0,5,0,45,0,26,32,0,82,1,59,27,27,33,0,83,48,6,32,0,79,0,37,32,0,9,0,41,0,15,0,41,0,26,27,1,60,11,2,0,44,0,12,0,41,0,18,27,0,20,0,47,21,27,27,27,33,0,84,48,6,1,61,33,0,85,48,6,1,62,33,0,86,48,6,32,0,5,0,5,0,152,21,0,25,1,63,34,0,82,32,0,83,32,0,86,32,0,85,11,2,0,44,0,31,0,12,0,23,0,47,21,26,0,36,0,8,26,0,47,21,27,34,0,86,11,3,0,44,0,12,0,11,0,49,21,27,27,21,33,0,87,48,6,0,24,0,24,0,24,0,36,1,64,26,20,1,65,1,66,1,67,11,6,0,44,0,25,27,33,0,88,48,6,1,68,33,0,89,48,6,1,69,33,0,90,48,6,32,0,90,0,46,26,33,0,91,48,6,34,0,90,0,47,26,33,0,92,48,6,1,70,33,0,93,48,6,32,0,79,0,38,0,24,27,0,37,1,71,27,33,0,94,48,6,32,0,79,0,38,0,24,27,0,37,1,72,27,33,0,95,48,6,32,0,8,0,5,0,169,21,33,0,96,48,6,32,0,96,0,25,0,17,21,1,73,11,2,0,44,32,0,5,27,33,0,97,48,6,1,74,33,0,98,48,6,1,75,33,0,99,48,6,1,76,33,0,100,48,6,1,77,33,0,101,48,6,0,55,0,17,16,32,0,16,0,178,27,33,0,102,48,6,1,78,33,0,103,48,6,1,79,33,0,104,48,6,1,80,33,0,105,48,6,32,0,9,0,41,1,81,27,33,0,106,48,6,1,82,33,0,107,48,6,1,83,33,0,108,48,6,1,84,33,0,109,48,6,1,85,33,0,110,48,6,1,86,33,0,111,48,6,1,87,33,0,112,48,6,32,0,25,0,9,26,33,0,113,48,6,32,0,25,0,10,26,33,0,114,48,6,0,34,32,0,113,0,43,32,0,114,27,26,0,38,0,49,32,0,113,16,0,43,32,0,114,27,27,33,0,115,48,6,32,0,25,1,88,0,21,0,42,0,46,27,0,20,0,42,0,46,27,11,2,0,44,0,46,0,43,0,20,27,27,0,45,0,6,27,11,2,0,44,0,19,0,41,0,21,27,27,0,38,0,19,27,26,33,0,116,48,6,32,0,25,0,20,0,45,0,25,27,0,38,0,11,27,26,33,0,117,48,6,32,0,25,0,21,0,45,0,25,27,0,38,0,7,0,40,32,0,117,0,40,0,7,27,27,27,26,33,0,118,48,6,32,0,25,0,8,26,0,38,0,30,0,42,32,0,33,27,27,33,0,119,48,6,32,0,25,0,8,0,7,0,6,21,26,0,38,0,30,0,42,32,0,34,27,27,33,0,120,48,6,32,0,25,0,8,0,38,0,21,0,7,0,20,21,0,42,0,46,27,27,26,33,0,121,48,6,32,0,25,0,23,0,7,0,47,21,26,0,38,0,20,27,33,0,122,48,6,32,0,25,0,13,0,7,0,47,21,26,0,38,32,0,83,27,33,0,123,48,6,32,0,25,0,12,0,7,0,47,21,26,0,38,0,22,27,33,0,124,48,6,32,0,25,0,12,26,0,38,0,12,27,33,0,125,48,6,32,0,25,0,23,26,0,38,0,195,0,40,0,5,27,27,33,0,126,48,6,32,0,25,0,13,26,0,38,0,196,0,40,0,5,27,27,33,0,127,48,6,32,0,25,0,6,26,33,0,128,48,6,32,0,25,0,7,26,33,0,129,48,6,32,0,129,32,0,128,0,47,21,33,0,130,48,6,0,15,0,38,32,0,11,27,33,0,131,48,6,34,0,98,0,38,32,0,97,27,33,0,132,48,6,34,0,62,0,38,32,0,58,27,33,0,133,48,6,34,0,64,0,38,34,0,40,27,33,0,134,48,6,34,0,94,33,0,135,48,6,34,0,95,33,0,136,48,6,1,89,33,0,137,48,6,34,0,91,0,38,34,0,46,27,33,0,138,48,6,34,0,92,0,38,34,0,47,27,33,0,139,48,6,34,0,107,0,38,34,0,105,27,33,0,140,48,6,32,0,35,0,47,26,0,38,34,0,42,27,33,0,141,48,6,0,34,34,0,35,0,46,26,26,0,38,34,0,36,0,24,26,27,33,0,142,48,6,1,90,0,1,0,46,21,33,0,143,48,6,1,91,33,0,144,48,6,0,24,0,37,1,92,27,33,0,145,48,6,1,93,33,0,146,48,6,1,94,33,0,147,48,6,1,95,33,0,148,48,6,0,47,0,24,1,96,0,40,32,0,19,27,20,11,2,0,44,0,0,32,0,127,0,53,21,27,33,0,149,48,6,1,97,0,41,1,98,27,33,0,150,48,6,1,99,33,0,151,48,6,1,100,0,24,0,16,0,42,0,47,27,1,101,20,0,33,0,205,0,40,0,5,27,26,0,16,0,42,0,49,27,32,0,150,0,16,0,42,0,47,27,21,34,0,151,0,16,0,42,0,49,27,1,102,0,43,1,103,27,0,16,0,42,0,47,27,21,0,16,0,42,0,49,27,1,104,0,43,1,105,27,0,30,0,42,0,47,0,53,11,2,27,21,11,6,0,44,0,25,27,0,16,0,42,0,46,27,21,20,33,0,152,48,6,1,106,34,0,152,0,206,0,40,0,5,27,11,3,32,0,134,0,53,0,47,0,49,11,3,17,0,44,0,0,27,33,0,153,48,6,34,0,84,0,38,32,0,87,27,33,0,154,48,6,0,5,0,42,0,207,27,33,0,155,48,6,0,5,0,42,0,208,27,33,0,156,48,6,0,33,0,46,26,0,5,0,209,21,33,0,157,48,6,1,107,33,0,158,48,6,1,108,33,0,159,48,6,1,109,33,0,160,48,6,0,24,0,37,34,0,56,0,38,34,0,55,27,27,33,0,161,48,6,0,58,0,34,32,0,129,26,0,38,32,0,128,27,0,59,32,0,129,0,60,0,34,32,0,113,26,0,38,32,0,121,32,0,158,0,24,27,27,0,61,32,0,113,0,62,32,0,25,0,2,26,0,73,0,34,32,0,114,26,0,38,0,34,32,0,121,26,27,0,67,0,34,32,0,113,26,0,38,32,0,119,32,0,158,0,24,27,27,0,66,0,25,32,0,129,0,47,21,32,0,113,0,34,32,0,129,26,21,0,38,32,0,120,32,0,158,0,24,27,27,0,63,32,0,130,0,68,32,0,25,1,110,26,0,74,0,46,0,40,32,0,155,27,0,38,1,111,27,0,75,0,24,0,76,32,0,77,0,40,32,0,156,27,0,25,0,24,21,0,38,0,24,27,0,56,1,112,0,38,0,46,0,40,32,0,155,27,27,0,77,1,113,0,38,1,114,27,0,78,1,115,0,38,1,116,27,0,79,0,46,0,40,32,0,155,27,0,38,32,0,138,32,0,158,0,16,0,42,0,52,27,27,27,0,80,0,46,0,40,32,0,155,27,0,38,32,0,139,32,0,158,0,16,0,42,0,46,27,27,27,0,81,0,46,0,40,32,0,155,27,0,38,32,0,132,34,0,158,32,0,78,27,27,0,82,32,0,133,0,42,32,0,129,27,0,38,32,0,133,27,0,83,34,0,147,0,38,34,0,45,27,0,84,0,46,0,40,32,0,155,27,0,38,34,0,41,27,0,85,34,0,160,0,38,34,0,159,27,11,46,32,0,21,32,0,157,27,33,0,162,48,6,0,58,0,34,32,0,129,26,0,38,0,49,0,43,32,0,113,27,27,0,59,32,0,128,0,38,0,46,0,40,32,0,155,27,27,0,60,0,34,32,0,113,26,0,38,32,0,115,27,0,61,32,0,121,0,38,0,46,0,40,32,0,155,27,27,0,62,32,0,115,0,38,0,46,0,40,32,0,155,27,27,0,73,0,2,32,0,113,20,0,38,0,46,0,40,32,0,155,27,27,0,67,0,34,32,0,113,26,0,38,32,0,115,27,0,66,0,25,32,0,129,0,47,21,32,0,113,0,34,32,0,129,26,21,0,38,32,0,130,0,40,32,0,115,27,32,0,130,20,27,0,63,0,33,0,47,26,32,0,129,32,0,128,21,0,38,0,46,0,40,32,0,155,27,27,11,18,32,0,21,32,0,157,27,33,0,163,48,6,34,0,70,33,0,164,48,6,32,0,69,33,0,165,48,6,0,86,0,24,0,87,1,117,0,88,1,118,0,89,1,119,0,90,1,120,0,91,1,121,0,40,1,122,27,11,12,32,0,21,0,33,32,0,157,26,27,33,0,166,48,6,34,0,112,33,0,167,48,6,34,0,74,33,0,168,48,6,0,92,34,0,150,0,93,1,123,0,94,1,124,0,95,0,33,0,46,0,40,32,0,155,27,26,1,125,11,2,0,44,0,24,0,40,32,0,7,27,27,0,96,1,126,0,97,1,127,1,128,0,24,11,2,0,44,0,25,27,0,25,0,40,32,0,149,27,21,0,98,1,129,11,14,34,0,21,0,33,32,0,157,26,27,33,0,169,48,6,34,0,23,33,0,170,48,6,34,0,101,33,0,171,48,6,1,130,33,0,172,48,6,34,0,100,33,0,173,48,6,32,0,53,0,38,34,0,57,27,33,0,174,48,6,1,131,33,0,175,48,6,34,0,110,33,0,176,48,6,34,0,111,33,0,177,48,6,32,0,103,0,38,32,0,11,27,33,0,178,48,6,32,0,79,0,38,0,24,27,0,37,0,27,0,40,32,0,123,27,27,33,0,179,48,6,32,0,122,0,41,34,0,79,0,37,32,0,174,0,41,0,27,27,27,27,0,38,1,132,27,33,0,180,48,6,34,0,146,0,38,34,0,44,27,33,0,181,48,6,34,0,143,0,38,32,0,43,27,33,0,182,48,6,34,0,37,0,38,32,0,134,0,42,32,0,142,27,27,33,0,183,48,6,32,0,128,32,0,129,32,0,121,32,0,113,34,0,114,34,0,115,32,0,117,34,0,118,34,0,116,32,0,130,32,0,119,32,0,120,32,0,122,32,0,123,32,0,124,32,0,125,32,0,127,32,0,126,32,0,77,32,0,78,0,25,0,24,34,0,178,32,0,154,34,0,179,34,0,180,32,0,138,32,0,139,32,0,132,34,0,136,32,0,135,32,0,133,34,0,181,32,0,134,32,0,33,32,0,34,32,0,161,32,0,174,32,0,141,34,0,182,32,0,142,34,0,183,32,0,140,0,5,0,33,0,34,32,0,173,32,0,165,32,0,164,34,0,172,34,0,170,34,0,171,0,32,0,40,0,41,0,42,0,43,32,0,168,0,38,34,0,175,34,0,177,34,0,176,32,0,167,0,39,11,64,1,133,16,7,0,46,34,0,1,11,2,7,34,0,1,7,34,0,1,33,1,1,33,1,2,12,2,49,7,34,0,2,1,134,18,6,34,0,1,33,1,153,51,7,32,0,1,11,1,0,1,34,0,1,17,7,0,20,0,31,0,12,0,7,0,47,21,26,34,0,1,21,0,32,0,8,26,20,0,36,0,6,26,20,7,0,33,32,1,0,0,31,32,1,15,34,0,1,26,0,34,0,16,26,34,0,2,21,26,16,26,0,16,1,135,21,7,1,136,0,12,34,0,1,32,1,15,32,1,0,26,16,21,7,0,49,0,9,32,0,1,0,22,16,17,0,17,16,0,31,0,8,0,42,0,49,27,26,16,33,0,3,48,6,32,0,1,0,30,32,0,3,17,34,0,1,0,30,34,0,3,0,31,0,6,0,42,0,47,27,26,16,17,11,2,7,34,0,2,32,1,20,16,33,0,3,33,0,4,12,2,48,6,34,0,1,11,1,0,26,34,0,4,17,32,1,16,34,0,3,27,7,0,46,34,0,1,16,7,32,0,1,0,12,16,0,12,0,47,17,0,5,0,101,17,6,34,0,1,0,33,32,0,4,26,32,1,22,20,0,36,34,0,4,26,11,2,0,44,0,47,0,38,0,22,0,20,0,46,21,27,27,34,0,2,19,7,1,137,33,0,2,48,6,1,138,33,0,3,48,6,32,0,3,32,0,1,26,0,34,34,0,3,0,34,32,0,1,26,26,26,11,2,0,44,0,12,0,41,0,21,27,27,34,0,2,34,0,1,26,11,2,0,44,0,12,0,41,0,12,27,27,7,34,0,1,1,139,0,37,1,140,1,141,11,2,0,44,32,1,5,0,41,0,21,27,27,0,38,1,142,27,27,1,143,0,37,1,144,27,11,3,0,44,32,1,5,0,41,0,6,27,27,33,0,2,48,7,34,0,1,32,1,28,34,0,2,19,7,32,0,1,0,31,0,20,0,42,0,46,27,26,0,36,0,8,26,0,47,21,0,41,0,7,27,32,0,2,19,33,0,3,48,6,34,0,1,32,0,3,0,46,11,2,1,145,11,2,0,44,0,46,0,12,34,0,3,17,27,34,0,2,19,7,34,0,4,33,0,5,48,6,0,46,0,25,32,0,2,19,33,0,6,48,6,34,0,1,33,0,7,48,6,1,146,33,0,8,48,6,34,0,8,32,0,7,0,12,0,47,17,0,45,0,33,32,0,5,26,1,147,0,38,0,24,27,34,0,2,23,27,16,7,32,0,1,0,14,0,41,32,1,29,27,32,0,2,17,33,0,3,48,6,34,0,3,0,36,32,1,30,34,0,1,0,15,16,0,43,0,16,27,0,43,32,1,31,0,42,34,0,2,0,15,16,0,43,0,16,27,27,27,26,26,16,33,0,4,48,6,0,46,0,34,34,0,4,26,16,7,32,0,1,33,0,2,48,6,32,1,31,32,1,27,0,33,0,46,26,0,13,32,1,31,21,32,1,26,11,4,34,0,1,0,45,0,31,1,148,26,27,16,33,0,3,48,6,1,149,33,0,4,48,6,1,150,0,38,1,151,27,0,1,0,46,21,7,32,0,1,33,0,2,48,6,0,36,0,8,26,0,7,0,47,21,0,32,0,8,26,0,36,0,6,26,20,11,2,0,16,34,0,1,17,33,0,3,48,6,32,1,9,0,43,1,152,27,0,1,0,46,21,7,32,0,1,0,12,16,0,13,0,47,17,0,5,0,110,17,6,32,0,1,32,1,33,16,33,0,5,48,6,32,0,1,32,1,12,0,47,17,0,36,0,8,26,0,47,17,33,0,6,48,6,32,0,6,32,1,30,32,0,1,0,15,16,0,43,0,16,27,0,41,32,1,75,0,7,0,47,21,27,26,16,33,0,7,48,6,34,0,1,0,22,16,0,17,16,0,31,0,47,0,24,32,0,5,0,31,0,8,0,42,34,0,6,27,26,16,0,43,0,16,27,0,41,34,0,7,27,0,47,0,43,0,7,27,21,11,2,0,44,0,20,0,42,0,46,27,27,26,16,34,0,4,32,0,5,17,0,30,34,0,5,32,1,14,16,17,0,1,0,46,17,7,32,0,2,0,12,16,33,0,3,48,6,34,0,3,0,7,32,0,1,0,12,16,17,33,0,4,48,6,32,0,4,0,13,0,46,17,0,5,0,111,17,6,0,46,0,20,16,33,0,5,48,6,32,0,1,0,14,16,33,0,6,48,0,28,32,0,4,17,0,24,0,36,0,8,26,0,47,21,0,17,20,0,43,0,15,27,16,33,0,7,48,6,34,0,6,0,29,34,0,4,17,0,35,1,153,26,32,0,2,0,14,16,17,6,32,0,7,0,31,0,20,0,31,0,6,26,32,0,5,21,0,34,0,30,26,34,0,1,0,15,16,21,32,1,75,34,0,2,21,26,16,0,1,0,46,17,7,34,0,1,0,32,0,6,26,16,0,3,16,0,28,0,42,0,33,0,47,26,0,7,0,22,21,0,18,0,46,21,27,16,0,32,0,6,26,16,0,1,0,46,17,7,32,0,1,0,12,16,0,12,0,47,17,0,5,0,112,17,6,32,0,1,0,31,32,1,8,26,16,0,36,0,8,26,0,47,17,0,5,0,113,17,6,34,0,1,32,1,38,16,7,32,0,1,0,12,16,0,12,0,47,17,32,1,155,16,6,32,0,1,0,31,32,1,8,26,16,0,36,0,8,26,0,47,17,32,1,155,16,6,34,0,1,0,3,16,7,32,0,1,0,22,16,33,0,3,48,6,32,0,1,32,1,12,0,47,17,33,0,4,48,0,36,0,8,26,0,47,17,33,0,5,48,6,34,0,3,0,17,16,0,31,0,8,0,42,32,0,5,27,0,43,0,6,27,26,34,0,5,0,17,16,0,15,34,0,4,17,17,0,34,0,30,26,34,0,1,0,15,16,17,7,32,0,1,32,1,5,16,32,1,156,16,6,34,0,1,0,12,16,0,20,0,46,17,7,32,0,1,0,12,16,0,34,0,7,26,0,47,17,33,0,3,48,6,32,0,1,0,14,16,33,0,4,48,6,32,0,4,0,16,32,0,3,17,33,0,5,48,6,34,0,4,0,28,34,0,3,17,33,0,6,48,6,32,0,6,0,36,0,8,26,0,47,17,0,17,16,0,15,34,0,6,17,0,31,0,8,0,42,32,0,5,27,0,43,0,6,27,26,34,0,5,0,17,16,17,0,34,0,30,26,34,0,1,0,15,16,17,7,32,0,1,0,12,16,0,13,0,47,17,0,5,0,114,17,6,32,0,1,0,22,16,0,6,0,47,17,0,17,16,0,31,34,0,1,0,43,0,30,0,42,0,17,27,27,26,16,0,1,0,42,0,16,0,42,0,46,27,27,16,7,32,0,1,0,12,16,0,13,0,47,17,0,5,0,115,17,6,32,0,1,0,22,16,33,0,3,48,6,32,0,3,0,6,0,47,17,0,17,16,0,31,34,0,1,0,43,0,30,0,42,1,154,27,27,26,16,0,1,0,42,0,16,0,42,32,0,3,27,27,16,7,34,0,1,33,0,3,33,0,4,12,2,48,6,1,155,33,0,5,48,6,0,24,0,40,34,0,3,27,0,25,0,6,32,0,5,0,13,0,42,0,46,27,26,20,34,0,5,0,21,26,11,2,0,44,0,13,0,42,0,46,27,27,21,7,32,0,1,0,12,16,0,12,0,47,17,0,5,0,120,17,6,34,0,2,32,1,48,32,0,1,0,22,16,17,0,34,0,16,26,34,0,1,17,7,32,0,2,0,12,18,0,12,0,47,19,0,5,0,121,19,6,32,0,1,0,14,16,33,0,3,48,0,22,0,41,0,12,27,32,0,2,19,0,5,0,122,17,6,0,46,33,0,4,48,6,34,0,3,0,35,1,156,26,34,0,2,19,6,34,0,1,0,15,16,0,16,32,0,4,17,7,34,0,2,0,31,34,0,1,0,43,32,1,52,27,26,16,7,34,0,1,33,0,2,33,0,3,33,0,4,33,0,5,33,0,6,33,0,7,12,6,48,6,0,124,0,26,34,0,2,17,0,26,0,123,17,33,0,8,48,6,0,125,0,26,32,0,8,17,33,0,9,48,6,0,126,0,26,32,0,8,17,33,0,10,48,6,0,127,0,26,32,0,8,17,33,0,11,48,6,0,128,0,26,34,0,8,17,33,0,12,48,6,0,24,0,31,34,0,5,0,31,0,0,0,12,0,47,21,26,0,15,20,0,36,0,8,26,0,47,21,11,2,0,44,32,1,5,27,26,0,15,20,0,36,0,8,26,0,47,21,0,5,34,0,12,21,11,2,0,16,34,0,4,17,33,0,13,48,6,1,157,1,158,11,2,0,44,0,25,0,40,34,0,3,27,27,7,32,0,1,0,12,16,0,13,0,47,17,0,5,0,129,17,6,32,0,1,0,22,16,0,20,0,46,17,0,5,0,130,17,6,34,0,1,0,30,0,46,0,20,16,17,7,34,0,2,0,31,32,1,49,0,42,34,0,1,0,22,16,27,26,16,7,34,0,2,0,31,32,1,49,0,42,34,0,1,27,26,16,7,32,0,1,0,12,16,0,13,0,47,17,0,5,0,133,17,6,32,0,1,0,22,16,33,0,3,48,6,34,0,1,0,30,32,0,3,0,17,16,0,31,0,7,0,42,0,47,0,7,34,0,3,17,27,26,16,17,7,32,0,2,32,1,7,18,0,5,0,134,19,6,32,0,1,0,12,0,46,17,0,6,33,0,1,50,6,32,0,1,0,9,32,0,2,19,0,11,16,0,8,32,0,1,17,0,7,34,0,2,19,33,0,3,48,6,34,0,1,0,20,32,0,3,17,0,5,0,135,17,6,34,0,3,7,32,0,2,32,1,5,0,45,0,15,0,16,0,46,21,27,16,33,0,2,49,6,32,0,2,32,1,8,16,0,5,0,137,17,6,34,0,2,33,0,3,48,33,0,4,48,6,34,0,1,0,8,32,0,3,17,0,17,16,0,32,0,34,1,159,0,45,1,160,27,26,26,16,7,32,0,2,0,22,16,0,12,34,0,1,17,0,5,0,138,17,6,32,0,2,0,31,0,12,0,42,0,11,0,40,0,19,27,27,26,16,0,36,0,8,26,0,47,17,0,5,0,137,17,6,34,0,2,32,1,38,16,7,0,33,0,46,26,0,5,0,139,21,7,34,0,1,32,1,1,16,33,0,3,48,6,32,0,3,0,16,0,46,17,0,46,0,43,0,13,27,0,33,34,0,3,26,0,29,0,47,21,0,31,34,0,0,26,20,0,36,0,8,26,0,47,21,11,2,0,44,0,13,0,42,0,49,27,27,16,7,34,0,1,1,161,34,0,2,21,7,0,34,34,0,1,26,7,1,162,0,24,11,2,0,36,34,0,1,26,16,7,34,0,1,34,0,2,16,7,34,0,1,1,163,0,25,32,1,65,20,0,45,1,164,27,11,2,0,44,0,25,0,40,0,0,27,0,13,0,53,21,27,34,0,2,17,7,34,0,1,32,1,9,0,41,32,0,4,32,1,68,32,1,24,32,0,4,26,0,38,0,31,34,0,4,26,27,27,27,34,0,2,19,7,34,0,1,32,1,9,0,41,32,0,4,32,1,68,0,31,34,0,4,26,27,27,34,0,2,19,7,34,0,1,7,0,46,34,0,1,11,2,0,44,34,0,2,27,7,32,0,1,32,0,5,0,41,34,0,4,27,34,0,2,19,33,0,6,48,6,32,1,58,0,36,0,24,32,1,5,20,0,45,0,15,0,43,0,16,27,27,26,32,0,1,21,0,46,0,14,0,40,0,24,0,36,0,8,26,0,47,21,0,17,20,0,43,0,15,27,27,0,1,0,72,21,11,2,0,44,32,1,5,27,20,33,0,7,48,6,1,165,33,0,8,48,6,32,1,1,0,46,0,16,0,42,0,49,27,0,12,0,33,32,0,8,26,21,11,2,0,44,0,16,0,42,0,46,27,0,12,0,55,21,27,20,33,0,9,48,6,32,0,5,32,1,89,32,0,9,17,33,0,10,48,6,0,46,32,0,8,0,52,27,33,0,11,48,6,34,0,11,34,0,10,16,0,46,32,1,71,11,2,32,1,1,0,30,0,47,0,53,11,2,21,11,2,0,44,34,0,9,27,16,33,0,12,33,0,13,12,2,48,6,0,24,0,40,32,1,72,27,0,7,0,47,21,0,45,1,166,27,33,0,14,48,6,0,24,0,37,1,167,27,33,0,15,48,6,34,0,13,34,0,14,32,0,6,17,0,33,34,0,1,26,0,43,34,0,15,27,0,33,34,0,5,26,32,1,153,20,1,168,20,11,2,0,44,32,1,72,27,16,7,34,0,1,0,35,32,1,75,26,34,0,2,19,0,15,16,0,36,0,8,26,0,47,17,7,32,0,2,0,16,0,47,17,34,0,1,11,2,0,44,34,0,2,0,16,0,46,17,27,7,34,0,1,0,15,16,0,31,32,1,76,26,16,0,36,0,18,26,0,46,17,0,6,0,47,17,7,32,1,81,0,45,0,1,0,43,0,24,0,37,0,33,11,0,26,0,15,32,1,78,0,41,34,0,2,27,21,27,27,27,32,1,80,0,24,0,37,0,25,27,34,0,1,21,11,2,0,44,0,15,0,40,0,22,27,0,20,0,46,21,27,7,32,0,1,0,15,16,0,16,0,46,17,32,1,78,16,33,0,3,48,6,32,0,1,0,15,16,0,31,32,1,78,0,46,32,1,13,11,2,0,44,0,22,0,41,0,12,27,27,32,0,3,21,0,5,0,144,21,26,16,6,32,0,3,0,36,0,8,26,0,47,17,0,17,16,0,15,34,0,3,17,0,31,0,34,0,16,26,26,34,0,1,0,31,32,1,11,26,16,17,7,32,0,1,0,12,0,41,0,18,27,32,0,2,19,0,34,0,7,26,0,47,17,33,0,3,48,6,32,0,1,32,1,78,0,41,0,27,27,32,0,2,19,33,0,4,48,6,32,0,4,0,31,0,22,0,13,32,0,3,21,26,16,0,36,0,8,26,0,47,17,0,5,0,145,17,6,32,0,4,0,31,0,29,0,42,0,33,32,0,3,26,0,7,0,22,21,27,26,16,33,0,5,48,6,32,0,5,0,36,32,1,13,26,16,0,5,0,146,17,6,34,0,4,0,31,0,47,0,24,0,16,0,46,21,11,2,0,44,0,22,0,20,34,0,3,21,27,26,16,0,36,0,6,26,0,46,17,33,0,6,48,6,34,0,1,0,15,0,41,0,26,27,34,0,2,19,0,15,34,0,5,0,16,0,46,17,0,26,34,0,6,11,1,17,17,7,32,0,1,0,31,0,12,26,16,0,36,0,6,26,0,46,17,0,20,0,46,17,0,5,0,147,17,6,0,52,33,0,3,48,33,0,4,48,6,11,0,33,0,5,48,6,32,0,1,33,0,6,48,6,34,0,1,0,31,0,22,26,16,32,1,38,16,0,31,1,169,26,16,7,32,0,1,0,15,16,33,0,3,48,0,22,16,33,0,4,48,6,32,0,3,0,31,32,1,78,26,16,33,0,5,48,6,32,0,1,0,12,16,33,0,6,48,6,1,170,33,0,7,48,6,34,0,1,32,1,78,16,33,0,8,48,6,0,47,33,0,9,48,6,0,46,0,20,16,33,0,10,48,33,0,11,48,33,0,12,48,6,34,0,6,0,17,16,0,35,1,171,26,32,0,8,32,1,58,16,32,0,7,0,8,26,0,47,17,32,1,58,16,17,6,32,0,10,0,15,16,33,0,10,49,0,16,0,46,17,0,7,32,0,3,0,16,0,46,17,0,12,16,17,33,0,13,48,6,32,0,3,0,31,0,33,32,0,13,26,0,7,0,12,21,26,16,32,1,13,32,0,10,17,0,5,0,150,17,6,0,35,1,172,32,0,3,0,31,32,1,11,26,16,26,26,33,0,14,48,6,32,0,11,32,0,14,1,173,11,2,0,44,32,0,13,0,20,0,46,17,27,32,0,12,17,7,32,0,2,0,22,16,33,0,3,48,6,32,0,1,0,22,16,33,0,4,48,6,32,0,3,0,23,32,0,4,17,0,5,0,151,17,6,34,0,1,0,35,0,8,0,42,34,0,2,0,43,0,16,27,27,0,24,11,2,0,44,0,25,0,13,34,0,3,21,27,26,34,0,4,0,17,16,17,7,34,0,1,34,0,2,20,7,34,0,1,33,0,3,33,0,4,33,0,5,12,3,48,6,34,0,5,34,0,4,34,0,3,21,7,34,0,1,33,0,3,33,0,4,12,2,48,6,34,0,4,34,0,3,26,7,34,0,1,33,0,3,33,0,4,33,0,5,12,3,48,6,34,0,5,34,0,4,34,0,3,27,7,0,33,32,1,71,26,33,0,0,48,6,1,174,33,0,1,48,6,0,0,0,23,0,53,21,0,45,32,0,1,32,1,72,26,27,33,0,2,48,6,1,175,33,0,3,48,6,1,176,33,0,4,48,6,1,177,33,0,5,48,6,0,153,0,24,0,154,1,178,0,155,0,46,32,0,3,0,47,27,32,0,4,20,0,156,0,47,32,0,3,0,46,27,32,0,4,20,0,157,0,47,32,0,3,0,47,27,34,0,4,20,0,158,0,47,32,0,3,0,47,27,34,0,5,20,0,159,0,47,34,0,3,0,47,27,11,14,32,1,20,16,33,0,6,33,0,7,12,2,48,6,1,179,11,1,0,26,34,0,7,32,1,39,0,42,0,31,0,22,26,27,32,0,6,17,17,32,1,16,34,0,6,32,1,85,16,27,33,0,8,48,6,1,180,33,0,9,48,6,32,1,88,0,33,32,0,0,26,11,2,0,44,0,16,0,42,0,53,0,43,0,23,27,27,0,12,0,33,32,0,0,26,21,27,33,0,10,48,6,1,181,0,43,0,24,0,16,0,47,21,34,0,9,0,25,21,32,0,2,20,0,33,32,0,0,26,1,182,34,0,10,0,16,0,42,0,46,27,21,1,183,32,0,2,20,11,2,0,44,0,24,0,40,32,1,19,27,27,0,24,0,16,0,47,21,34,0,2,20,11,4,0,44,0,24,0,16,0,46,21,0,40,0,53,0,24,0,49,11,2,0,44,0,13,0,42,0,49,27,27,11,2,0,44,0,13,0,42,0,46,27,27,27,27,27,7,32,0,1,0,7,0,47,17,33,0,2,48,6,0,160,0,161,11,2,0,16,32,0,1,17,33,0,3,48,6,0,19,0,43,0,12,27,0,7,0,47,21,0,12,0,42,0,46,27,0,7,0,47,21,11,2,0,16,32,0,1,17,33,0,4,48,6,1,184,1,185,11,2,0,16,34,0,1,17,33,0,5,48,6,0,162,0,26,34,0,3,17,0,26,0,123,17,33,0,6,48,6,0,163,0,26,32,0,6,17,33,0,7,48,6,0,164,0,26,34,0,6,17,33,0,8,48,6,32,1,9,0,43,0,24,0,37,1,186,1,187,11,2,0,44,0,25,0,40,32,1,5,27,27,27,27,7,32,0,1,0,12,16,0,13,0,47,17,0,5,0,165,17,6,32,0,1,32,1,12,0,47,17,33,0,3,48,6,32,0,2,0,12,0,41,0,7,27,32,0,1,19,1,188,32,0,2,19,6,32,0,3,0,36,0,8,26,34,0,1,1,189,0,38,0,47,27,34,0,2,19,17,7,32,0,1,32,1,93,32,0,2,19,33,0,3,48,6,32,0,1,0,15,16,33,0,4,48,0,22,16,33,0,5,48,0,11,34,0,3,17,33,0,6,48,6,34,0,4,0,28,32,0,6,0,7,32,0,5,17,17,0,26,34,0,6,0,34,32,1,11,0,43,0,28,27,26,0,38,32,0,1,0,43,34,0,5,0,20,0,46,17,0,45,1,190,27,27,27,34,0,2,19,17,0,15,34,0,1,32,1,78,16,17,7,32,0,1,32,1,93,32,0,2,19,33,0,3,48,6,32,0,1,0,15,16,33,0,4,48,0,22,16,33,0,5,48,0,11,32,0,3,17,33,0,6,48,6,32,0,6,0,34,32,1,11,0,43,0,29,0,42,0,7,0,42,34,0,3,27,27,27,26,0,38,32,0,1,0,43,34,0,5,0,20,0,46,17,0,45,1,191,27,27,27,34,0,2,19,0,26,34,0,4,0,29,34,0,6,17,17,0,15,34,0,1,32,1,78,16,17,7,32,0,1,0,12,16,0,12,0,47,17,0,5,0,170,17,6,32,0,1,0,31,32,1,96,26,16,6,32,0,1,11,0,0,43,0,15,27,0,31,0,17,26,0,36,0,31,0,26,0,42,0,27,27,26,26,11,0,0,20,16,21,11,2,0,44,0,24,0,36,0,8,26,0,47,21,0,20,0,46,21,27,16,0,31,0,1,0,42,0,46,27,26,16,0,1,34,0,1,0,31,0,46,26,16,17,7,32,0,2,0,12,16,0,23,0,47,17,0,5,0,171,17,6,32,0,2,32,1,11,16,33,0,2,49,0,22,16,33,0,3,48,6,34,0,1,32,0,3,0,20,0,46,17,0,45,0,24,0,37,1,192,27,27,34,0,2,17,7,32,0,1,32,1,78,16,0,28,32,0,2,19,33,0,3,48,6,32,0,1,32,1,12,34,0,2,19,33,0,4,48,0,36,0,8,26,0,47,17,33,0,5,48,6,34,0,1,0,15,16,33,0,6,48,6,32,0,5,0,17,16,0,15,34,0,4,17,33,0,7,48,6,1,193,33,0,8,48,6,32,0,3,0,36,0,8,26,0,47,17,0,17,16,0,31,1,194,26,16,0,22,0,12,0,46,21,0,45,34,0,8,27,16,0,15,34,0,3,17,7,34,0,4,33,0,5,48,6,1,195,33,0,6,48,6,1,196,33,0,7,48,6,34,0,1,32,0,5,0,20,20,1,197,1,198,34,0,7,11,4,0,44,0,12,0,20,0,46,21,0,41,0,6,0,42,0,8,0,42,0,49,27,27,27,27,34,0,2,19,32,1,83,16,7,32,0,1,0,12,16,0,13,0,47,17,0,5,0,176,17,6,34,0,4,33,0,5,48,6,1,199,33,0,6,48,6,34,0,1,34,0,6,1,200,11,2,0,44,0,47,0,38,0,22,0,20,0,46,21,27,27,34,0,2,19,7,32,0,2,0,12,16,0,23,0,47,17,0,5,0,179,17,6,34,0,2,32,1,11,16,33,0,3,48,6,32,0,3,0,31,32,1,8,0,7,0,47,21,26,16,33,0,4,48,0,36,0,6,26,0,46,17,33,0,5,48,6,32,0,5,0,23,0,47,17,0,5,0,180,17,6,34,0,1,32,1,11,16,33,0,6,48,0,22,16,33,0,7,48,6,32,0,3,0,24,0,36,0,8,26,0,47,21,1,201,11,2,0,44,34,0,5,27,16,33,0,8,48,6,32,0,6,32,0,7,0,12,32,0,8,17,0,7,0,47,17,0,45,0,24,0,37,1,202,27,27,16,0,15,32,0,3,17,7,32,0,1,0,31,32,1,7,26,16,0,36,0,8,26,0,47,17,0,5,0,185,17,6,32,0,1,0,31,0,13,0,42,0,52,27,26,16,0,36,0,8,26,0,47,17,0,5,0,186,17,6,0,3,33,0,5,48,6,32,0,1,0,25,0,38,0,46,27,0,45,0,24,1,203,0,22,0,43,0,34,0,7,26,27,21,27,34,0,2,19,33,0,1,49,6,32,0,1,0,4,34,0,1,32,0,5,16,33,0,6,48,17,33,0,7,48,6,0,46,33,0,8,48,6,34,0,6,0,31,1,204,0,34,0,30,26,34,0,7,21,34,0,4,20,26,16,7,32,0,1,0,12,16,0,12,0,47,17,0,5,0,187,17,6,32,1,104,0,24,26,33,0,3,48,6,34,0,1,32,0,3,0,1,0,46,0,40,0,17,27,21,0,31,32,1,9,0,40,1,205,27,26,0,36,0,31,0,31,0,26,26,26,26,11,0,0,20,16,0,20,16,21,0,1,0,31,0,46,26,11,0,0,43,0,15,27,0,1,0,24,21,20,21,11,2,0,44,32,1,77,0,20,0,47,21,27,16,7,32,0,2,0,12,16,33,0,3,48,6,32,0,1,0,12,16,0,13,32,0,3,17,0,5,0,188,17,6,32,0,1,32,1,78,16,33,0,4,48,0,28,32,0,3,17,0,35,0,7,26,32,0,2,32,1,78,16,17,33,0,5,48,6,32,0,5,0,46,0,16,0,42,0,46,27,0,12,0,47,21,11,2,0,44,32,0,3,0,12,0,47,17,27,16,33,0,6,48,6,34,0,5,0,31,0,12,0,42,0,46,27,26,0,36,0,8,26,0,47,21,0,47,11,2,0,44,32,0,6,27,16,0,5,0,189,17,6,32,0,1,0,43,0,24,0,37,0,25,0,40,32,0,1,0,15,16,1,206,1,207,11,2,0,44,34,0,1,0,12,16,0,12,32,0,3,17,27,16,27,27,27,33,0,7,48,6,34,0,2,0,15,16,32,1,104,32,0,7,26,34,0,6,17,0,1,11,0,34,0,7,16,17,7,32,0,1,32,1,5,16,0,5,0,190,17,6,34,0,1,32,1,106,32,1,137,11,2,0,44,32,0,2,32,1,77,16,0,13,0,49,17,27,34,0,2,17,7,32,0,1,0,12,16,0,23,0,47,17,0,5,0,191,17,6,32,0,1,32,1,11,16,33,0,1,49,6,32,0,1,0,22,16,0,53,0,43,0,13,27,0,8,0,13,0,42,0,47,27,21,16,0,5,0,192,17,6,32,0,1,0,31,32,1,7,26,16,0,36,0,8,26,0,47,17,0,5,0,193,17,6,34,0,2,0,31,0,25,0,8,0,34,0,9,0,40,0,11,27,26,21,0,34,0,7,26,0,47,21,0,6,0,7,21,0,42,32,0,1,0,22,16,27,26,16,0,34,0,30,26,34,0,1,17,7,34,0,1,32,1,108,0,47,0,46,11,2,0,38,0,49,11,1,27,21,7,32,0,1,32,1,109,34,0,5,26,32,0,2,19,33,0,6,48,0,31,0,21,0,42,0,46,27,26,16,33,0,7,48,6,32,0,4,33,0,8,48,6,1,208,0,38,1,209,27,33,0,9,48,6,1,210,1,211,11,2,0,16,34,0,4,0,47,32,1,65,11,2,0,44,0,0,0,13,0,53,21,27,16,17,33,0,10,48,6,1,212,33,0,11,48,6,1,213,33,0,12,48,6,1,214,33,0,13,48,6,34,0,1,32,0,13,34,0,6,26,34,0,2,19,7,0,24,0,25,11,2,0,44,0,20,27,33,0,6,48,6,32,0,1,32,1,109,34,0,5,26,0,35,0,7,0,43,32,0,6,27,34,0,6,0,7,0,25,21,11,2,0,44,0,24,0,13,0,46,21,27,26,0,12,0,41,0,27,27,21,32,0,2,19,33,0,7,48,6,0,24,0,20,20,32,1,99,0,24,0,20,0,37,0,31,0,20,26,27,20,11,3,0,44,0,12,0,43,0,23,27,0,6,0,47,21,0,8,0,46,0,43,0,21,27,21,27,33,0,8,48,6,34,0,1,32,0,8,32,0,7,0,16,0,42,0,22,0,34,0,7,26,0,47,21,27,16,17,32,1,69,34,0,4,26,34,0,2,34,0,8,34,0,7,0,16,0,46,17,19,19,32,1,83,16,7,34,0,4,33,0,6,48,6,0,46,1,215,0,38,0,33,1,216,26,27,32,0,2,19,33,0,7,48,6,32,0,1,34,0,5,34,0,2,19,33,0,8,48,6,1,217,33,0,9,48,6,34,0,1,34,0,9,1,218,11,2,0,44,32,0,8,32,1,8,16,27,16,7,32,0,2,32,1,113,32,0,1,17,0,11,16,0,8,34,0,2,17,0,7,34,0,1,17,7,32,0,2,32,1,125,16,32,1,125,0,47,17,0,5,0,197,17,6,32,0,2,0,31,32,1,125,26,16,33,0,3,48,0,36,32,1,128,26,0,46,17,33,0,4,48,6,32,0,1,32,1,125,16,32,1,127,32,0,4,17,0,5,0,198,17,6,32,0,1,32,1,78,16,0,28,32,0,4,17,32,1,129,32,0,2,0,31,32,1,78,26,16,32,1,87,16,17,33,0,5,48,6,32,0,5,32,0,3,32,1,125,0,47,17,32,1,134,32,0,3,17,0,43,32,1,127,27,32,1,119,32,1,127,0,42,0,46,27,21,16,0,36,32,1,119,26,0,47,17,0,5,0,189,17,6,0,46,11,1,0,26,34,0,5,17,0,30,32,0,3,0,32,32,1,128,26,16,32,1,135,0,46,17,17,32,1,117,34,0,3,17,33,0,6,48,6,32,0,2,0,31,32,1,131,26,16,33,0,2,49,0,31,32,1,124,26,16,0,34,32,1,129,26,32,0,6,17,33,0,7,48,6,0,33,32,0,1,26,32,1,103,34,0,1,32,1,12,34,0,4,17,0,43,0,26,27,21,33,0,8,48,6,32,0,7,0,36,32,1,121,26,0,47,17,11,1,32,0,8,16,0,43,0,30,27,33,0,9,48,6,32,0,2,0,16,0,42,0,46,27,0,41,32,1,104,32,0,9,26,27,0,35,32,1,104,0,24,26,26,32,1,121,34,0,7,32,1,133,16,32,1,135,0,47,17,0,32,32,1,121,26,16,32,1,133,16,21,0,36,0,31,0,31,32,1,128,26,26,26,20,0,31,34,0,9,26,20,11,2,0,44,0,24,0,40,32,1,124,27,32,1,124,0,47,21,27,34,0,6,17,0,1,34,0,2,0,31,0,46,26,16,34,0,8,16,17,7,32,0,2,32,1,125,16,0,34,32,1,129,26,0,47,17,33,0,3,48,6,32,0,3,32,1,127,0,46,17,0,5,0,199,17,6,32,0,1,32,1,125,16,32,1,127,34,0,3,17,0,5,0,200,17,6,34,0,1,32,1,141,0,42,32,0,2,27,32,1,131,0,40,32,1,43,27,32,1,131,32,1,78,21,0,43,0,35,0,27,26,27,20,0,41,32,1,141,27,34,0,2,17,7,32,0,2,32,1,125,16,32,1,126,0,47,17,0,5,0,201,17,6,34,0,1,32,1,78,16,32,1,124,0,41,32,1,127,27,32,0,2,17,0,5,0,202,17,6,34,0,2,32,1,131,16,0,31,32,1,8,26,16,0,36,32,1,119,26,0,47,17,0,5,0,203,17,7,32,0,1,32,1,78,16,32,1,140,32,0,2,17,0,31,0,36,32,1,117,26,26,16,32,1,132,16,0,31,0,33,34,0,1,26,32,1,53,0,30,0,42,34,0,2,27,21,26,16,7,32,0,1,32,1,144,32,0,2,17,6,32,0,2,32,1,131,16,33,0,2,49,6,32,0,2,32,1,142,16,32,1,130,16,0,36,32,1,128,26,0,46,17,32,1,129,32,0,1,32,1,125,16,17,33,0,3,48,6,32,0,3,32,1,122,32,0,2,17,0,36,32,1,119,26,0,47,17,0,5,0,204,17,6,34,0,1,32,1,145,34,0,3,32,1,132,16,0,24,32,1,134,0,34,32,1,142,0,40,32,1,130,27,26,21,32,0,2,17,0,26,34,0,2,17,17,7,32,0,1,32,1,144,32,0,2,17,6,32,0,2,32,1,131,16,33,0,2,49,6,32,0,1,32,1,125,16,33,0,3,48,6,32,0,2,32,0,3,0,43,32,1,122,27,32,1,119,32,1,142,21,16,0,36,32,1,119,26,0,47,17,32,1,155,16,6,34,0,1,32,1,145,34,0,3,32,1,132,16,0,24,32,1,134,0,34,32,1,142,0,40,32,1,130,27,26,21,32,0,2,17,0,26,34,0,2,17,32,1,14,16,17,7,34,0,1,32,1,153,16,7,34,0,1,32,1,1,16,7,34,0,1,32,1,153,16,7,32,0,2,0,43,32,0,1,27,0,38,34,0,2,34,0,1,20,27,7,34,0,1,33,0,3,33,0,4,33,0,5,33,0,6,12,4,48,6,32,1,149,32,1,130,20,33,0,7,48,6,34,0,6,1,219,1,220,0,33,32,1,157,26,11,2,0,44,0,24,0,40,32,0,7,27,27,11,2,0,44,0,25,0,40,34,0,7,27,27,34,0,4,17,7,34,0,1,32,1,1,16,7,34,0,1,32,1,162,16,7,34,0,1,32,1,166,16,7,34,0,2,34,0,1,16,7,34,0,1,32,1,169,16,7,34,0,2,0,36,34,0,1,26,16,7,0,24,32,1,77,0,40,32,1,156,27,34,0,1,21,0,25,0,24,21,7,32,0,1,34,0,4,32,0,2,19,33,0,6,48,6,32,0,6,34,0,5,34,0,2,19,32,1,77,34,0,1,17,32,1,156,16,6,34,0,6,7,32,0,1,32,1,77,16,32,1,125,0,49,17,32,1,155,16,6,32,0,1,0,31,32,1,125,26,16,32,1,125,0,47,17,0,36,32,1,119,26,0,47,17,32,1,156,16,6,32,0,1,32,1,154,16,33,0,3,48,6,32,0,3,0,31,32,1,8,26,16,0,36,32,1,119,26,0,47,17,32,1,156,16,6,32,0,1,0,31,32,1,135,0,42,0,52,27,26,16,32,1,154,16,32,1,123,32,0,3,17,0,36,32,1,119,26,0,47,17,32,1,156,16,6,32,0,3,0,3,16,33,0,4,48,6,0,47,32,1,127,32,0,4,17,0,36,32,1,119,26,0,47,17,32,1,156,16,6,34,0,4,32,1,130,16,32,1,134,16,33,0,5,48,6,32,0,5,0,31,0,52,26,16,32,1,154,34,0,1,0,31,32,1,124,26,16,32,1,134,16,17,0,30,34,0,5,32,1,154,34,0,3,17,32,1,33,16,17,7,32,0,2,32,1,125,16,32,1,125,0,47,17,32,1,155,16,6,32,0,2,0,31,32,1,8,26,16,0,36,32,1,119,26,0,47,17,32,1,155,16,6,34,0,2,32,1,140,16,33,0,3,48,6,32,0,1,0,31,32,1,124,26,0,41,32,1,77,27,32,0,3,17,32,1,156,16,6,34,0,1,32,1,154,0,41,0,30,0,42,32,1,33,27,27,34,0,3,17,7,32,1,125,0,42,0,47,27,32,1,120,32,1,125,0,42,0,46,27,21,33,0,3,48,6,32,0,1,32,0,3,16,32,1,156,16,6,32,0,2,34,0,3,16,32,1,155,16,6,34,0,2,32,1,124,34,0,1,17,7,32,0,1,32,1,5,16,32,1,156,16,6,32,0,1,32,1,125,16,32,1,125,0,46,17,32,1,156,16,6,34,0,1,32,1,131,16,0,16,0,46,17,7,32,0,2,32,1,125,0,41,32,1,129,27,32,0,1,17,33,0,3,48,6,32,0,3,0,47,0,43,32,1,127,27,32,1,119,32,1,127,0,42,0,46,27,21,16,32,1,156,16,6,32,0,2,0,47,32,1,124,11,2,0,44,32,0,3,27,16,33,0,4,48,6,32,0,1,32,1,124,16,32,1,127,32,0,4,17,32,1,156,16,6,32,0,1,32,1,161,32,1,138,0,42,32,0,4,27,11,2,0,44,34,0,3,27,16,32,1,77,34,0,2,17,32,1,156,16,6,34,0,1,32,1,139,34,0,4,17,7,32,0,1,32,1,124,16,32,1,125,0,49,17,32,1,156,16,6,32,0,1,32,1,161,16,32,1,77,34,0,2,19,32,1,156,16,6,34,0,1,32,1,161,0,47,17,7,32,0,1,32,1,124,16,32,1,125,0,47,17,32,1,156,16,6,34,0,1,32,1,161,16,7,32,0,1,32,1,78,16,32,1,77,0,49,11,1,17,32,1,156,16,6,32,0,1,0,16,0,46,17,32,1,77,34,0,2,19,32,1,156,16,6,34,0,1,0,16,0,47,17,7,32,0,1,32,1,78,16,32,1,77,0,47,11,1,17,32,1,156,16,6,34,0,1,0,16,0,46,17,7,34,0,1,32,1,163,16,7,0,24,0,40,32,1,77,27,32,1,122,0,46,21,32,1,156,20,0,25,32,1,165,32,1,148,34,0,1,26,26,21,7,0,24,0,40,32,1,77,27,32,1,122,0,46,21,32,1,156,20,0,25,0,46,0,40,32,1,155,27,0,38,32,1,164,32,1,148,34,0,1,26,26,27,21,7,0,24,0,40,32,1,125,27,32,1,122,0,46,21,32,1,156,20,0,25,32,1,173,32,1,148,34,0,1,26,0,24,0,42,32,1,5,0,40,32,1,156,27,27,20,26,21,7,32,1,165,32,1,148,34,0,1,26,26,7,0,24,0,40,32,1,125,27,32,1,122,0,46,21,32,1,156,20,0,25,0,24,32,0,1,32,1,135,21,0,38,32,1,124,32,1,122,0,47,21,0,45,32,1,139,0,42,0,47,27,34,0,1,32,1,139,0,42,0,52,27,21,32,1,154,32,1,161,21,27,27,21,7,32,1,148,34,0,2,26,33,0,3,48,6,32,0,3,0,42,32,0,1,27,0,38,34,0,3,27,32,1,148,34,0,1,26,20,7,34,0,1,32,1,168,32,1,148,34,0,2,26,27,7,34,0,1,32,1,129,16,32,1,167,34,0,2,27,7,32,1,148,34,0,1,26,0,38,32,1,148,34,0,2,26,27,7,32,1,148,34,0,1,26,0,42,34,0,2,27,7,34,0,1,0,38,32,1,157,27,7,32,1,148,32,0,2,26,32,1,148,32,0,1,26,20,0,38,34,0,1,0,33,0,46,0,40,32,1,155,27,26,1,221,11,2,0,44,0,24,0,40,32,1,149,27,27,34,0,2,17,27,7,34,0,4,32,1,153,16,33,0,5,48,6,34,0,1,34,0,5,34,0,2,19,7,32,0,1,1,222,34,0,5,32,1,174,34,0,1,34,0,4,32,0,2,19,17,26,34,0,2,19,7,32,0,1,11,1,0,1,34,0,1,17,7,32,1,122,32,1,141,32,0,1,21,32,1,174,20,33,1,2,49,6,34,0,1,32,1,3,32,1,4,11,3,7,34,0,1,33,2,163,51,7,34,0,1,32,2,2,16,7,34,0,1,32,2,2,16,7,32,0,1,0,14,0,41,32,2,13,27,32,0,2,19,0,5,0,102,17,6,34,0,1,0,35,34,0,4,26,34,0,2,19,7,32,0,2,0,14,16,33,0,5,48,6,32,0,2,0,12,16,33,0,6,48,6,32,0,1,0,14,16,33,0,7,48,6,32,0,7,0,28,32,0,6,17,32,2,13,34,0,5,17,0,5,0,103,17,6,32,0,7,0,29,34,0,6,17,0,36,0,8,26,0,47,17,33,0,8,48,6,34,0,2,0,15,16,33,0,9,48,0,22,16,33,0,10,48,6,34,0,1,0,15,16,33,0,11,48,6,0,46,0,21,32,0,10,17,0,8,32,0,8,17,0,17,0,41,0,31,0,33,34,0,11,26,0,16,0,6,0,42,0,8,0,42,34,0,8,27,27,21,34,0,4,34,0,9,0,43,0,16,27,21,26,27,34,0,10,17,0,15,34,0,7,17,7,34,0,1,32,1,2,34,0,2,19,7,34,0,1,0,31,32,1,2,0,42,0,33,34,0,2,26,27,26,16,7,34,0,2,0,31,0,33,34,0,1,26,0,43,32,1,2,27,26,16,7,34,0,1,0,31,32,1,2,26,16,7,34,0,1,32,1,2,34,0,2,19,7,34,0,1,32,2,24,32,1,2,26,34,0,2,19,7,0,27,0,16,0,23,21,0,27,32,2,27,21,33,0,3,48,6,32,0,1,0,22,0,41,32,0,3,27,32,0,2,19,33,0,4,33,0,5,12,2,48,6,34,0,1,1,223,0,41,1,224,27,34,0,2,19,33,0,6,48,6,32,0,4,34,0,6,11,2,7,34,0,2,33,0,3,48,6,34,0,1,33,0,4,48,6,1,225,32,1,6,11,2,0,44,0,12,0,42,32,1,7,27,27,33,0,5,48,6,0,46,32,0,5,16,7,34,0,1,0,12,0,42,0,46,27,0,45,34,0,2,27,20,7,0,34,34,0,1,26,7,32,1,3,0,16,32,0,1,17,34,0,4,16,0,47,0,13,34,0,1,17,0,45,1,226,34,0,5,26,27,34,0,2,19,7,32,0,2,0,12,16,0,34,0,7,26,0,47,17,33,0,3,48,0,7,32,0,1,0,12,16,17,33,0,4,48,6,34,0,3,0,13,0,46,17,0,5,0,105,17,6,32,0,4,0,13,0,46,17,0,5,0,106,17,6,32,0,2,32,2,12,0,47,17,33,0,5,48,6,32,0,2,0,22,16,33,0,6,48,6,32,0,1,32,2,9,16,33,0,1,49,6,32,0,1,32,2,12,32,0,4,17,33,0,7,48,6,32,0,1,0,14,16,0,28,34,0,4,17,33,0,8,48,0,36,0,8,26,0,47,17,33,0,9,48,6,34,0,1,0,15,0,41,1,227,1,228,11,2,0,44,32,0,6,0,20,0,46,17,27,27,34,0,2,17,0,15,34,0,8,17,7,32,0,1,0,12,16,0,13,0,47,17,0,5,0,104,17,6,32,0,1,0,22,16,33,0,3,48,6,34,0,1,32,0,3,0,40,0,17,27,1,229,11,2,0,44,32,0,3,0,13,0,49,17,27,16,7,32,0,2,0,12,16,0,34,0,7,26,0,47,17,33,0,3,48,6,32,0,3,0,13,0,46,17,0,5,0,108,17,6,32,0,1,0,12,16,0,13,32,0,3,17,0,5,0,109,17,6,32,0,2,0,22,16,33,0,4,48,6,32,0,2,32,2,12,0,47,17,33,0,5,48,0,36,0,8,26,0,47,17,33,0,6,48,6,32,0,1,0,12,16,0,34,0,7,26,34,0,3,17,33,0,7,48,6,32,0,1,0,14,16,0,28,32,0,7,17,33,0,8,48,0,36,0,8,26,0,47,17,33,0,9,48,6,34,0,1,1,230,1,231,11,2,0,44,0,46,32,2,12,0,42,34,0,7,27,32,2,13,34,0,5,21,11,2,0,44,32,0,6,0,8,32,0,4,17,0,20,0,46,17,33,0,10,48,27,27,34,0,2,17,0,15,34,0,8,17,7,0,17,0,43,0,31,0,6,26,0,42,0,31,32,0,1,0,43,0,8,27,26,27,27,33,0,3,48,6,32,0,2,32,0,3,33,1,5,50,6,34,0,2,0,7,34,0,1,17,0,6,0,47,17,0,18,0,46,17,34,0,3,33,1,7,50,7,32,0,1,0,7,32,1,3,17,0,17,16,0,31,0,6,0,42,34,0,1,27,26,16,7,34,0,1,0,5,32,1,4,21,0,25,0,24,21,7,32,1,4,0,8,32,0,1,17,0,6,34,0,2,32,2,48,34,0,1,19,19,33,1,4,49,7,32,0,2,0,12,16,0,23,0,47,17,0,5,32,1,10,17,6,32,0,2,32,1,13,16,6,32,0,2,0,15,16,33,0,2,49,0,22,16,33,0,3,48,6,32,0,1,0,12,16,0,13,32,0,3,17,0,5,32,1,11,17,6,0,46,0,20,16,33,0,4,48,6,32,0,1,0,14,16,33,0,5,48,0,28,32,0,3,17,33,0,6,48,0,35,1,232,26,34,0,2,17,6,34,0,1,0,15,34,0,5,0,29,34,0,3,17,0,26,34,0,6,0,36,0,8,26,0,47,17,11,1,17,17,0,30,32,0,4,17,7,32,0,1,0,12,16,0,13,0,47,17,0,5,32,1,9,17,6,34,0,1,32,1,6,34,0,2,19,7,34,0,2,0,12,32,1,4,17,7,32,1,3,0,6,33,1,4,50,6,34,0,1,0,6,0,47,17,7,34,0,1,0,38,34,0,2,27,7,34,0,1,0,1,0,46,21,7,34,0,1,0,1,34,0,2,23,7,32,0,2,0,37,34,0,1,32,2,67,34,0,2,17,27,7,34,0,4,33,0,6,48,6,34,0,1,33,0,7,33,0,8,33,0,9,12,3,48,6,34,0,5,32,2,5,0,21,34,0,8,21,0,45,1,233,0,40,32,1,7,27,27,16,34,0,7,34,0,2,19,33,0,10,48,6,34,0,10,34,0,9,0,45,1,234,27,16,7,0,47,33,0,3,48,6,0,46,1,235,0,36,0,18,26,0,46,21,0,6,0,47,21,11,2,0,44,32,2,5,27,33,0,4,48,6,32,0,1,32,0,4,16,33,0,5,48,6,34,0,2,0,27,0,41,0,27,27,0,33,32,2,71,26,0,15,0,41,0,27,27,11,2,0,44,32,2,73,27,1,236,11,3,0,44,34,0,5,0,11,0,49,17,27,34,0,1,17,7,32,0,2,33,0,3,33,0,4,12,2,48,6,1,237,0,42,34,0,2,27,33,0,5,48,6,1,238,33,0,6,48,6,1,239,0,42,0,46,27,33,0,7,48,6,34,0,1,0,33,32,0,4,26,0,16,0,46,21,34,0,7,11,2,0,44,32,1,12,0,40,32,2,5,27,27,16,7,32,1,6,34,0,1,16,7,34,0,1,0,12,0,42,32,1,4,27,0,7,0,47,21,0,45,1,240,27,16,6,32,1,5,0,16,0,47,0,6,32,1,3,17,33,1,3,49,17,7,34,0,2,33,0,5,48,6,34,0,4,33,0,6,48,6,34,0,1,0,31,1,241,26,16,7,34,0,2,33,0,3,48,6,32,1,8,0,16,34,0,1,17,33,0,4,48,6,32,0,4,0,17,16,0,31,0,8,0,42,32,0,3,27,26,16,0,34,0,30,26,32,1,3,17,0,31,0,12,26,16,33,0,5,48,0,31,34,0,5,0,36,0,18,26,0,46,17,0,34,0,7,26,0,47,17,0,43,0,7,27,26,16,33,0,6,48,6,32,0,6,0,31,0,13,0,42,0,46,27,26,16,0,36,0,8,26,0,47,17,0,5,0,148,17,6,32,0,6,32,2,38,16,0,31,0,8,0,42,32,0,3,27,26,16,33,0,7,48,0,22,16,33,0,8,48,6,32,0,3,0,17,16,0,31,0,6,26,34,0,7,17,0,31,0,6,26,32,1,9,0,17,16,0,31,0,8,0,42,32,0,3,0,8,32,0,4,17,27,26,16,17,0,15,16,0,34,0,30,26,32,1,5,17,33,0,9,48,6,32,0,3,0,8,32,0,8,17,0,17,16,0,31,0,25,26,32,1,10,17,0,15,16,33,0,10,48,6,32,0,9,0,35,0,22,0,43,0,20,27,26,32,0,10,17,0,36,0,8,26,0,47,17,0,5,0,148,17,6,34,0,9,0,35,0,16,26,34,0,10,17,33,0,11,48,6,34,0,8,0,17,16,0,31,0,8,0,42,32,0,3,27,26,16,0,34,0,30,26,32,0,11,17,33,0,12,48,6,34,0,3,0,17,16,0,31,0,25,26,32,0,12,17,0,31,0,24,26,32,1,9,0,17,16,17,0,15,16,32,2,13,34,0,11,17,0,5,0,149,17,6,1,242,33,0,13,48,32,2,38,16,33,0,14,48,6,32,0,13,32,1,7,0,6,26,0,46,17,0,30,32,0,14,17,0,35,0,7,26,32,0,14,0,22,16,0,17,16,17,33,0,15,48,6,32,0,6,0,31,0,6,26,32,1,10,17,33,1,10,49,6,34,0,15,0,31,0,24,26,32,1,12,17,0,35,0,6,26,34,0,13,0,30,32,0,14,17,0,31,0,8,26,32,1,12,17,17,33,1,12,49,6,34,0,14,0,31,0,6,0,42,32,0,4,0,43,0,8,27,27,26,32,1,11,17,33,1,11,49,6,34,0,4,0,8,33,1,9,50,7,34,0,4,0,16,34,0,1,17,0,16,34,0,2,19,7,0,29,0,42,0,33,32,1,13,26,0,7,0,22,21,27,33,0,3,48,6,32,1,5,0,16,0,46,17,32,0,3,16,33,0,4,48,6,32,1,5,0,31,34,0,3,32,2,13,32,0,4,21,26,16,0,36,0,8,26,0,47,17,0,5,0,150,17,6,32,0,4,0,36,0,8,26,16,33,0,5,48,0,17,16,0,15,34,0,4,17,33,0,6,48,6,32,0,6,0,31,0,25,26,34,0,1,17,32,1,14,34,0,6,0,31,0,6,0,42,0,8,0,42,34,0,5,27,27,26,34,0,2,19,17,7,0,33,32,2,71,26,34,0,1,11,2,0,44,34,0,4,0,7,0,47,21,0,41,0,8,0,38,0,24,27,27,27,7,32,0,1,1,243,34,0,1,34,0,4,34,0,5,11,3,26,11,2,0,44,0,24,34,0,2,20,27,7,32,1,0,0,38,34,0,1,27,7,34,0,1,0,38,32,1,0,27,7,34,0,1,33,0,3,48,6,1,244,7,32,1,1,34,0,2,26,33,0,3,48,6,34,0,1,32,0,3,1,245,1,246,11,3,0,44,0,33,0,53,26,0,7,0,0,21,27,16,7,32,0,1,32,1,8,16,33,0,3,48,6,34,0,1,34,0,3,34,0,2,19,7,34,0,1,32,2,1,16,7,34,0,1,0,29,0,47,17,0,31,32,2,89,0,42,0,33,34,0,2,26,27,26,16,7,0,33,34,0,1,0,16,0,47,17,26,7,32,0,1,0,19,16,33,0,5,48,0,20,0,42,32,0,2,27,0,45,34,0,4,27,16,6,34,0,5,0,17,16,0,31,32,0,1,0,6,32,0,2,17,0,43,0,6,27,26,0,31,0,46,0,43,0,20,27,0,45,0,51,27,26,20,0,31,0,13,0,42,34,0,2,27,0,45,0,51,27,26,11,2,0,44,34,0,1,0,20,0,46,17,27,16,7,34,0,1,6,0,6,0,18,0,46,21,0,17,20,0,7,0,18,0,46,21,0,17,20,0,31,0,6,26,0,24,0,40,0,20,27,21,11,2,0,44,0,20,0,42,0,46,27,27,7,32,0,2,32,2,7,16,0,5,32,1,8,17,6,32,0,2,0,13,0,46,17,33,0,3,48,6,32,0,1,0,22,16,0,6,0,18,0,46,21,0,11,11,2,0,44,32,0,3,27,32,0,2,17,33,0,4,48,6,1,247,32,0,1,26,33,0,5,48,6,0,47,33,0,6,48,6,0,24,33,0,7,48,6,32,0,1,0,12,0,20,0,47,21,0,45,1,248,0,42,32,0,2,27,27,16,6,34,0,1,0,15,16,0,29,0,28,11,2,0,44,32,0,3,0,12,32,1,2,17,27,32,0,6,0,8,34,0,4,17,17,32,1,2,0,45,0,24,0,46,0,43,0,21,27,0,45,1,249,27,0,22,0,7,34,0,2,0,40,0,19,27,21,21,27,16,32,0,7,16,7,32,0,2,0,12,16,0,23,0,47,17,0,5,32,1,7,17,6,32,0,2,0,15,16,33,0,2,49,6,32,0,2,0,31,32,2,7,26,16,0,36,0,8,26,0,47,17,0,5,32,1,8,17,6,32,0,2,0,22,16,33,0,3,48,6,32,0,1,32,2,78,16,0,22,0,43,0,21,27,0,45,1,250,27,32,0,3,17,33,0,4,48,6,1,251,33,0,5,48,6,0,46,0,20,16,33,0,6,48,6,0,47,33,0,7,48,6,1,252,33,0,8,48,6,0,46,33,0,9,48,6,34,0,2,0,35,1,253,32,1,5,1,254,26,34,0,8,0,25,21,11,2,0,44,32,1,4,27,26,32,0,4,0,28,32,0,3,17,17,33,0,10,48,6,34,0,1,0,15,0,42,32,0,4,27,1,255,11,2,0,44,32,0,6,0,12,16,0,20,0,46,17,27,16,7,32,0,1,0,13,0,46,17,0,5,0,166,17,6,32,0,1,0,23,0,47,17,0,5,0,167,17,6,34,0,2,32,2,78,16,0,29,34,0,1,0,7,0,47,17,17,32,2,13,32,1,3,17,0,5,0,168,17,7,34,0,2,0,47,0,22,11,2,0,44,0,24,0,12,0,41,0,13,27,34,0,1,21,27,16,7,34,0,2,0,17,16,0,31,34,0,1,0,1,16,26,16,7,34,0,2,0,17,16,0,31,34,0,1,0,1,16,26,16,7,32,0,1,0,12,16,0,13,32,1,3,17,0,5,0,172,17,6,32,0,2,0,31,32,2,8,26,16,0,36,0,8,26,16,0,5,0,173,17,6,32,0,1,32,2,78,16,33,0,3,48,6,32,0,2,0,35,0,7,0,6,0,47,21,26,32,0,3,0,28,32,1,3,17,17,33,0,4,48,6,32,0,4,0,31,0,13,0,42,0,46,27,26,16,0,36,0,8,26,16,0,5,0,174,17,6,32,0,3,0,29,32,1,3,17,33,0,5,48,0,36,0,8,26,0,47,17,33,0,6,48,6,1,256,33,0,7,48,6,34,0,1,1,257,34,0,7,11,2,0,44,0,25,0,36,0,8,26,32,0,4,0,36,0,8,26,32,0,6,17,21,0,20,0,46,21,27,34,0,2,17,7,0,46,0,17,16,0,25,0,0,0,13,0,53,21,0,45,0,46,27,20,0,37,0,24,27,32,1,6,17,0,1,16,33,0,3,48,6,34,0,1,0,1,32,1,7,0,31,0,33,34,0,3,26,26,16,0,34,0,24,0,37,0,25,27,26,32,1,6,17,17,7,32,1,7,0,31,0,6,0,42,34,0,1,0,8,32,1,5,17,27,26,16,0,34,0,30,26,32,1,6,17,7,32,2,99,0,42,0,47,27,0,41,32,0,1,32,2,68,0,35,32,0,1,26,0,38,0,31,34,0,1,26,27,27,27,7,32,0,2,0,22,0,41,0,12,27,32,0,1,19,0,5,0,175,19,6,34,0,1,32,1,6,32,1,5,26,34,0,2,19,7,34,0,1,32,1,6,32,1,5,0,42,0,33,34,0,2,26,27,26,16,7,34,0,2,32,1,6,0,33,34,0,1,26,0,43,32,1,5,27,26,16,7,32,0,1,32,2,78,16,0,29,0,47,17,33,0,3,48,6,1,258,33,0,4,48,6,32,1,5,0,33,34,0,1,26,0,15,34,0,4,21,32,2,22,0,43,32,2,103,27,11,2,0,44,0,24,0,40,32,2,18,27,0,7,0,47,21,27,34,0,3,17,7,34,0,1,32,2,99,0,47,17,0,36,32,1,5,26,34,0,2,19,7,34,0,1,0,35,0,24,0,47,11,2,0,44,0,25,27,26,32,1,4,17,0,36,0,8,26,0,47,17,33,0,3,48,6,32,0,3,0,20,0,46,17,0,5,0,181,17,6,32,1,4,0,22,16,0,17,16,0,35,0,8,26,32,1,4,17,0,36,0,6,26,0,46,17,33,0,4,48,6,32,1,3,0,16,34,0,4,17,32,2,102,16,33,0,5,48,6,0,48,0,20,32,0,5,17,0,5,0,182,17,6,0,12,0,42,0,11,27,0,5,0,183,21,0,25,0,24,21,33,0,6,48,6,32,0,3,0,9,32,1,7,17,34,0,6,0,11,0,18,11,3,0,44,32,0,5,0,11,0,49,17,27,16,33,0,7,48,6,32,1,3,0,35,0,24,32,0,7,11,2,0,44,0,25,27,26,32,1,4,17,33,1,3,49,6,34,0,7,0,8,34,0,3,17,34,0,5,0,12,0,53,17,0,45,0,20,0,42,32,1,7,27,0,45,1,259,27,27,16,7,32,1,7,0,20,0,46,17,0,5,0,184,17,6,34,0,1,0,28,1,260,0,42,0,49,0,43,0,9,27,27,0,24,0,28,0,22,0,43,0,7,27,21,0,26,0,24,21,0,25,21,11,2,0,44,0,22,0,43,0,21,27,27,32,1,8,17,7,0,24,32,1,5,32,0,1,0,16,32,0,2,19,21,33,1,5,49,6,34,0,1,0,28,34,0,2,19,7,32,0,1,0,17,16,0,31,0,6,0,42,32,1,8,27,26,16,0,24,34,0,1,0,6,33,1,8,50,17,7,32,0,1,0,15,16,32,1,3,16,0,31,34,0,1,32,2,78,16,32,2,97,16,0,15,16,0,43,0,30,27,26,16,7,32,1,4,0,29,32,1,3,17,33,0,3,48,0,36,0,8,26,0,47,17,33,0,4,48,6,32,0,4,0,17,16,0,15,34,0,3,17,0,43,0,31,0,6,0,42,0,8,0,42,34,0,4,27,27,26,27,0,34,0,30,26,34,0,1,21,7,34,0,1,0,43,0,30,27,7,34,0,1,0,42,0,33,34,0,2,26,27,7,34,0,1,7,34,0,2,6,34,0,1,7,34,0,2,0,37,34,0,1,27,7,32,0,1,32,1,10,0,31,34,0,1,26,27,7,32,0,1,32,1,10,32,2,24,34,0,1,26,27,7,0,46,33,0,2,48,6,1,261,32,0,1,26,33,0,3,48,6,34,0,1,0,35,1,262,26,32,1,7,17,0,22,0,21,0,49,21,0,45,0,26,0,42,0,46,11,1,27,27,16,33,0,4,33,0,5,12,2,48,6,32,1,8,1,263,1,264,1,265,11,4,0,44,34,0,5,0,43,0,6,0,42,34,0,4,0,8,0,49,21,27,27,27,7,1,266,0,33,34,0,2,26,26,7,0,25,34,0,1,20,7,0,46,33,0,3,48,33,0,4,48,6,32,1,8,32,2,25,1,267,26,16,6,34,0,1,11,1,33,0,5,48,6,1,268,0,42,32,1,7,27,33,0,6,48,6,32,0,3,32,0,6,32,1,6,17,33,0,7,48,6,32,0,4,0,7,16,32,0,5,34,0,6,0,42,32,2,153,27,11,2,0,44,0,20,0,42,0,46,27,27,32,1,6,17,33,0,8,48,6,32,1,8,32,2,25,0,33,34,0,7,34,0,8,11,2,26,0,16,0,46,0,43,0,20,27,21,0,16,0,19,21,26,16,7,32,1,8,0,17,16,0,36,0,24,0,40,32,1,6,32,1,7,16,27,26,34,0,1,17,7,0,24,32,2,148,32,1,5,26,34,0,2,23,1,269,32,2,148,34,0,1,26,27,7,0,24,1,270,32,1,5,26,34,0,1,21,32,2,148,34,0,2,26,20,7,0,24,1,271,34,0,2,26,34,0,1,21,7,34,0,1,7,32,1,5,0,17,16,0,31,0,7,0,42,32,0,1,0,22,16,0,6,0,52,17,27,26,16,0,34,0,30,26,34,0,1,17,7,32,0,1,0,35,0,12,26,32,0,2,17,0,32,0,8,26,16,0,36,0,6,26,0,46,17,33,0,3,48,6,32,0,2,0,30,0,42,0,17,27,32,0,3,17,0,36,0,8,26,0,47,17,33,0,4,48,6,34,0,3,0,21,0,42,32,1,5,27,0,45,0,33,34,0,2,34,0,1,11,2,26,0,31,0,16,26,0,20,21,0,40,1,272,27,27,16,6,32,0,4,7,32,1,4,0,6,0,42,32,0,1,27,0,41,32,2,5,27,32,1,3,17,0,12,0,42,0,46,27,0,45,34,0,1,0,6,0,47,17,0,40,32,1,5,27,27,16,7,0,33,0,46,26,0,13,34,0,4,32,3,30,34,0,1,26,34,0,2,19,21,7,34,0,1,6,32,1,9,0,17,16,0,31,0,46,26,16,7,32,0,2,32,3,10,16,33,0,3,48,6,34,0,2,0,43,0,16,27,33,0,4,48,6,32,1,5,0,36,0,8,26,0,47,17,33,0,5,48,6,32,0,5,0,12,0,47,17,0,8,0,49,17,0,6,32,0,3,17,32,0,5,32,2,4,1,273,27,16,33,0,6,48,6,0,47,0,7,32,1,6,17,0,17,16,0,31,0,8,0,42,32,0,5,27,0,40,0,6,0,42,32,0,5,27,0,43,34,0,6,27,27,26,16,0,36,0,8,26,0,47,17,0,5,0,107,17,6,34,0,3,0,24,0,45,0,8,0,42,32,0,1,0,40,32,3,10,27,27,27,16,33,0,7,48,6,34,0,1,0,43,0,16,27,33,0,8,48,6,32,1,7,32,3,29,32,1,5,17,33,0,9,33,0,10,12,2,48,6,32,0,10,0,12,0,47,17,0,8,0,49,17,0,6,34,0,7,17,34,0,10,32,2,4,1,274,27,34,0,9,17,33,0,11,48,6,34,0,11,0,42,0,8,0,42,34,0,5,27,27,33,0,12,48,6,1,275,33,0,13,48,6,32,1,9,0,17,16,0,31,0,8,0,42,32,1,7,0,36,0,8,26,0,47,17,27,34,0,13,20,26,16,7,32,0,1,32,3,12,0,47,17,0,36,0,8,26,0,47,17,33,0,3,48,0,12,0,47,17,33,0,4,48,6,32,0,1,0,15,16,33,0,1,49,6,0,47,33,0,5,48,6,0,46,33,0,6,48,6,32,0,1,0,31,0,0,0,40,1,276,27,26,16,6,32,0,4,0,8,0,49,17,0,6,32,0,5,17,33,0,7,48,6,1,277,33,0,8,48,6,0,46,33,0,9,48,33,0,10,48,6,1,278,33,0,11,48,6,32,0,1,0,46,0,46,1,279,11,2,0,44,0,31,0,12,0,42,0,11,27,26,0,36,0,8,26,0,47,21,27,11,2,0,44,32,1,3,0,12,32,0,6,17,0,8,32,0,7,0,12,0,53,17,17,27,16,33,0,12,48,6,34,0,1,34,0,8,34,0,11,11,2,0,44,34,0,12,27,16,7,34,0,1,6,32,1,9,0,17,16,0,31,32,1,10,0,8,32,1,4,17,0,21,0,42,32,1,4,27,0,24,11,2,0,44,32,2,2,27,16,26,16,7,32,1,6,32,3,30,32,0,1,0,15,16,0,43,0,16,27,0,43,32,3,75,0,7,0,47,21,0,42,32,0,2,0,15,16,0,43,0,16,27,27,27,26,16,33,0,3,48,6,34,0,1,1,280,1,281,11,2,0,44,0,15,0,40,0,22,27,0,20,0,54,21,0,41,0,8,27,27,34,0,2,17,7,32,0,1,32,2,7,34,0,2,19,0,31,0,6,26,32,1,4,0,31,34,0,1,0,43,0,8,27,26,16,17,33,1,4,49,7,34,0,1,11,1,11,0,0,26,11,2,0,44,0,25,32,3,5,20,27,32,1,6,17,33,1,6,49,7,34,0,1,32,2,8,32,1,6,27,7,34,0,1,0,15,16,33,0,3,48,0,22,16,0,6,0,52,17,0,6,33,1,3,50,6,34,0,3,0,31,32,1,4,26,16,7,1,282,33,0,3,48,6,0,27,32,0,3,1,283,11,2,0,44,0,24,0,40,0,36,32,3,73,26,27,27,11,2,0,44,0,24,0,16,0,46,21,32,3,5,20,27,33,0,4,48,6,34,0,2,34,0,1,11,2,32,0,4,0,46,17,33,0,5,48,6,32,1,3,0,17,16,0,31,1,284,26,16,33,0,6,48,6,34,0,6,0,31,0,16,0,42,0,47,27,26,0,27,0,31,0,16,0,42,0,46,27,26,21,0,33,32,3,71,26,11,2,0,44,34,0,3,0,12,32,0,5,17,27,16,7,32,0,1,32,3,9,16,33,0,1,49,6,32,0,1,0,14,16,33,0,3,48,6,34,0,1,0,15,16,33,0,4,48,0,22,16,33,0,5,48,6,32,1,3,0,31,0,21,0,42,0,72,27,26,16,0,36,32,3,119,26,0,47,17,0,5,0,142,17,6,32,1,3,0,3,32,0,5,17,33,0,6,48,6,32,1,3,0,4,32,0,6,17,0,34,0,30,26,33,1,4,50,6,0,46,33,0,7,48,6,0,33,32,1,4,26,0,16,1,285,21,33,0,8,48,6,32,3,75,0,5,0,143,21,33,0,9,48,6,34,0,6,0,35,34,0,4,0,43,0,16,27,32,0,8,0,24,1,286,34,0,8,21,11,3,0,44,0,11,0,42,0,49,27,27,26,34,0,5,0,17,16,17,0,15,34,0,3,17,7,32,0,1,0,35,0,25,0,12,32,0,1,34,0,5,16,21,0,45,34,0,4,27,26,34,0,1,0,22,16,0,17,16,17,7,34,0,1,0,15,0,40,0,33,32,2,12,26,0,16,32,0,2,21,32,1,6,34,0,0,0,42,32,0,2,0,6,0,47,17,27,27,27,0,15,0,14,21,32,1,5,11,2,0,44,32,2,12,0,22,16,0,23,34,0,2,17,27,16,7,34,0,1,33,2,4,49,0,34,0,16,26,32,2,6,17,32,3,11,16,33,2,5,49,6,0,52,33,2,3,49,7,32,1,5,33,0,3,48,6,34,0,1,32,1,6,33,1,5,50,6,34,0,3,7,0,52,33,0,0,48,6,32,1,6,0,31,0,47,1,287,11,2,0,44,0,24,27,26,16,7,34,0,4,34,0,1,34,0,2,19,7,32,2,0,32,1,3,34,0,1,26,11,2,0,44,0,24,0,40,32,3,5,27,27,7,34,0,1,33,0,3,48,6,1,288,7,34,0,1,33,0,3,48,6,1,289,7,34,0,1,0,17,16,0,31,0,33,34,0,4,0,1,16,26,26,16,7,32,0,1,32,3,12,0,47,17,33,0,3,48,0,36,0,8,26,33,1,6,50,6,0,15,0,42,34,0,3,0,26,34,0,2,0,19,16,32,2,2,0,7,0,47,17,0,45,0,24,0,7,34,0,1,0,22,16,21,0,18,0,46,21,27,16,11,1,17,27,33,1,7,49,7,32,1,6,0,8,34,0,2,19,32,1,5,16,0,34,0,26,26,0,26,11,2,0,44,32,1,3,27,34,0,1,17,7,32,0,1,0,26,34,0,1,0,22,16,0,7,34,0,2,19,0,17,0,40,0,31,0,47,26,27,16,17,7,34,0,1,0,31,0,6,26,34,0,2,0,31,34,0,4,0,43,0,8,27,26,18,19,7,32,0,1,0,47,0,43,0,12,27,0,7,0,47,21,0,45,32,1,5,32,0,2,26,0,42,0,17,27,27,32,1,7,17,32,1,5,34,0,2,0,8,32,1,7,17,26,33,1,6,50,6,0,47,33,1,7,49,6,34,0,1,0,22,16,7,32,0,2,0,8,33,1,7,50,6,34,0,2,7,34,0,1,6,0,47,33,1,9,49,7,32,1,4,0,29,32,1,3,17,33,0,3,48,0,26,33,1,10,50,6,34,0,3,0,36,0,8,26,32,1,7,17,0,12,0,42,0,47,27,0,7,0,47,21,0,45,1,290,27,16,6,32,0,1,0,15,16,0,43,0,16,27,33,0,4,48,6,32,1,9,0,24,0,45,1,291,27,34,0,1,17,6,32,1,6,0,15,32,1,10,17,0,31,32,0,4,26,16,7,0,47,0,7,32,2,3,17,1,292,16,0,34,0,30,26,32,1,3,17,0,26,32,1,6,11,1,17,0,32,0,8,26,16,32,3,58,16,33,0,3,48,6,34,0,2,0,24,0,35,1,293,26,34,0,3,21,0,36,0,31,0,6,26,26,20,0,41,0,31,0,6,26,27,32,1,4,17,0,47,0,43,0,12,27,0,7,0,47,21,0,45,0,34,0,17,0,15,32,1,5,21,0,43,0,31,0,6,26,27,26,27,32,1,6,17,0,34,0,30,26,34,0,1,0,15,16,17,7,32,1,5,0,26,34,0,2,19,0,26,32,1,4,17,0,34,0,15,26,11,0,17,7,32,0,2,0,22,16,0,20,0,46,17,0,5,0,177,17,6,32,0,2,0,22,16,0,17,16,0,35,0,20,0,42,0,46,27,0,43,0,8,27,26,34,0,2,17,7,32,2,7,0,7,34,0,1,17,0,17,16,0,31,32,2,6,0,1,16,26,16,0,26,33,2,6,50,6,32,2,7,7,34,0,1,0,22,0,43,0,21,27,0,45,0,34,0,26,26,0,43,34,0,0,27,27,34,0,2,19,7,34,0,1,6,0,46,33,1,3,49,6,32,2,13,32,2,7,0,35,0,6,26,34,0,4,17,26,33,1,2,49,7,32,3,77,0,20,32,0,1,0,18,0,46,17,21,0,46,11,2,0,16,34,0,1,0,13,0,46,17,0,8,34,0,2,19,17,7,0,46,32,1,3,16,6,34,0,1,32,2,11,32,1,2,32,2,9,34,0,2,19,26,16,7,0,46,32,1,3,16,6,34,0,2,32,2,11,0,33,34,0,1,26,0,43,32,1,2,27,26,16,7,0,46,32,1,3,16,6,34,0,1,32,2,12,32,1,2,26,34,0,2,19,7,0,25,34,0,1,34,0,4,21,7,32,0,1,32,3,7,16,0,5,0,194,17,6,32,0,1,0,11,33,1,4,50,6,34,0,1,0,18,33,1,3,50,7,34,0,1,0,17,16,0,26,32,1,5,17,0,32,34,0,2,26,16,7,34,0,1,34,0,5,16,34,0,4,34,0,2,19,7,34,0,1,32,3,163,16,7,34,0,1,32,3,163,16,7,34,0,1,0,36,32,2,3,26,16,33,0,3,33,0,4,12,2,48,6,34,0,3,33,2,4,49,6,34,0,4,0,8,33,1,4,50,7,32,1,4,0,41,34,0,1,27,7,32,1,8,0,43,34,0,1,0,42,32,1,4,27,27,7,34,0,1,0,43,32,1,12,27,33,0,3,48,6,0,47,0,43,0,21,27,0,45,1,294,27,33,0,4,48,6,0,52,32,0,4,0,47,0,6,32,2,6,17,17,0,6,0,47,17,7,32,0,1,0,13,0,47,17,0,8,33,1,5,50,6,34,0,1,0,6,33,1,6,50,7,32,1,7,32,1,3,32,3,4,1,295,34,0,1,26,27,16,33,0,3,48,6,0,24,32,2,3,11,2,0,44,0,13,0,42,32,2,3,27,27,33,0,4,48,6,0,46,0,12,32,2,3,17,0,6,32,2,3,17,0,2,0,49,17,0,18,16,33,0,5,48,0,17,16,0,31,0,24,0,6,0,47,21,0,7,34,0,5,21,0,10,0,49,21,26,16,0,36,1,296,26,32,2,3,0,17,16,17,7,34,0,1,0,31,32,1,10,0,43,0,7,27,0,7,0,42,32,1,9,27,11,2,0,16,32,3,2,17,26,16,0,4,0,42,0,3,27,16,7,32,2,3,0,8,0,49,17,0,13,32,0,1,0,36,0,11,26,16,33,1,10,49,0,7,34,0,1,0,36,0,18,26,16,33,1,9,49,17,17,7,34,0,1,6,32,2,4,32,2,9,11,2,0,31,0,17,0,31,0,8,0,42,32,2,6,27,26,20,26,16,33,0,3,33,0,4,12,2,48,6,34,0,4,0,31,1,297,26,16,7,32,0,2,32,4,34,16,32,4,58,16,33,0,3,48,6,34,0,1,32,4,33,34,0,2,0,30,32,0,3,17,17,0,15,16,0,31,0,47,0,43,0,7,27,0,18,0,46,21,26,16,0,34,0,30,26,34,0,3,17,33,0,4,48,6,0,7,0,42,0,47,27,0,8,0,42,32,2,4,0,43,0,7,27,27,0,7,0,25,21,11,2,0,16,32,3,2,17,33,0,5,48,6,32,2,9,0,17,16,0,35,0,8,0,42,32,2,6,27,0,41,32,1,3,27,34,0,5,0,25,21,26,34,0,4,17,7,34,0,0,0,46,11,2,7,34,0,2,33,0,3,48,6,34,0,1,0,31,0,15,26,16,33,0,4,48,0,16,0,46,17,0,22,16,33,0,5,48,6,0,52,33,0,6,48,6,1,298,0,43,32,1,4,27,33,0,7,48,6,1,299,7,34,0,1,32,1,5,16,33,0,3,33,0,4,12,2,48,6,34,0,3,33,1,5,49,6,34,0,4,7,0,47,0,7,34,0,1,0,6,33,1,7,50,17,7,0,47,0,7,32,0,1,17,0,17,16,0,31,0,33,32,2,4,26,0,16,0,6,0,42,34,0,1,0,7,32,1,7,17,27,21,32,1,9,32,0,2,21,26,16,6,34,0,2,7,32,2,12,0,16,34,0,1,0,6,33,1,0,50,17,7,0,46,0,33,32,1,3,34,0,1,26,26,16,32,2,3,16,7,0,46,0,33,34,0,2,32,1,3,34,0,1,27,26,16,32,2,3,16,7,32,0,1,0,17,16,32,2,5,34,0,1,26,33,2,6,50,7,0,33,34,0,2,0,1,16,26,32,1,4,11,2,0,44,0,13,0,42,0,46,27,27,33,1,4,49,7,32,0,1,0,17,16,0,31,0,7,0,42,34,0,1,27,26,16,7,34,0,1,0,17,16,0,31,0,8,0,42,34,0,2,27,26,16,7,0,49,0,9,32,0,2,19,0,11,16,33,0,3,48,0,6,32,0,1,17,33,0,4,48,32,1,3,16,33,0,5,48,6,34,0,1,34,0,4,11,2,0,16,32,0,5,17,32,1,4,32,0,3,0,8,0,49,17,0,7,34,0,2,19,0,8,34,0,5,17,0,6,34,0,3,17,17,7,34,0,4,0,43,0,16,27,0,41,34,0,1,27,7,34,0,2,33,0,3,48,0,7,16,33,0,4,48,6,0,46,33,0,5,48,33,0,6,48,33,0,7,48,6,0,53,33,0,8,48,6,32,0,1,32,2,4,0,7,0,47,17,0,45,0,31,0,8,0,42,32,2,3,27,26,27,16,0,43,0,16,27,0,41,32,1,3,27,33,0,9,48,6,32,0,9,0,7,0,47,21,0,46,0,47,0,49,11,4,33,0,10,48,6,0,6,1,300,11,2,0,16,32,0,3,0,13,0,54,17,17,33,0,11,48,6,1,301,33,0,12,48,6,1,302,1,303,34,0,12,11,3,0,44,1,304,27,33,0,13,48,6,32,0,1,0,31,34,0,1,0,43,1,305,27,26,16,7,32,1,3,0,31,34,0,1,0,43,32,2,3,27,26,16,32,4,3,16,7,32,1,4,0,31,0,16,0,42,34,0,1,27,26,16,7,0,47,0,6,33,1,6,50,6,32,1,6,32,1,7,0,42,0,33,34,0,0,26,27,0,33,32,1,3,26,11,2,0,44,0,13,0,42,32,1,5,27,27,16,33,0,3,48,6,0,46,34,0,3,16,7,32,0,1,32,1,8,0,7,0,47,17,0,45,32,1,9,0,45,1,306,27,27,0,47,0,7,34,0,1,17,17,7,34,0,2,0,6,32,1,3,17,33,1,4,49,6,34,0,1,0,6,32,1,3,17,33,1,7,49,32,2,4,16,33,1,6,49,0,6,32,1,3,17,32,2,4,16,33,1,5,49,6,32,1,7,0,13,32,4,3,17,33,1,8,49,6,32,1,6,32,1,11,16,6,32,1,7,32,1,13,32,1,4,17,7,32,0,2,0,6,0,47,17,33,1,4,49,0,12,32,1,6,17,0,8,0,49,17,0,6,33,1,8,50,6,34,0,2,7,32,0,1,0,6,0,47,17,33,1,7,49,0,12,32,1,5,17,0,6,33,1,8,50,6,34,0,1,7,34,0,1,32,1,10,0,44,32,1,8,27,34,0,2,19,7,34,0,1,0,16,32,1,7,32,1,13,32,1,4,17,17,7,0,49,33,2,8,49,6,32,2,4,33,2,7,49,6,34,0,1,33,2,4,49,7]
 ,[provide[0],provide[1],provide[2],provide[3],provide[4],provide[5],provide[6],provide[7],provide[8],provide[9],provide[10],runtime_0[0],provide[12],provide[13],provide[14],provide[15],provide[16],provide[17],runtime_0[1],runtime_0[2],runtime_0[3],runtime_0[4],runtime_0[5],runtime_0[6],runtime_0[7],runtime_0[8],runtime_0[9],runtime_0[10],runtime_0[11],runtime_0[12],runtime_0[13],provide[18],provide[19],runtime_0[14],runtime_0[15],runtime_0[16],runtime_0[17],provide[20],provide[21],provide[22],runtime_0[18],runtime_0[19],runtime_0[20],runtime_0[21],runtime_0[22],runtime_0[23],0,1,4,2,Infinity,-Infinity,-1,3,8,5,'∾','˙','+','-','×','÷','⋆','¬','⌊','⌈','∨','∧','≠','=','>','≥','\0','√','<','⊢','⊣','≍','⋈','↑','↓','↕','⌽','⍉','/','⊔','⁼','˜','¨','⌜','˘','`','∘','○','⌾','⍟','⊘','⊸','⟜',str("+-×÷⋆√⌊⌈|¬∧∨<>≠=≤≥≡≢⊣⊢⥊∾≍⋈↑↓↕«»⌽⍉/⍋⍒⊏⊑⊐⊒∊⍷⊔!˙˜˘¨⌜⁼´˝`∘○⊸⟜⌾⊘◶⎉⚇⍟⎊%"),str("´: Identity not found"),str("´: 𝕩 must be a list"),str("Mapping: Equal-rank argument shapes don\'t agree"),str("Mapping: Argument shape prefixes don\'t agree"),str("⍋𝕩: 𝕩 must have rank at least 1"),str("⍋ or ⍒: Rank of 𝕨 must be at least 1"),str("⍋ or ⍒: Rank of 𝕩 must be at least cell rank of 𝕨"),str("⍋ or ⍒: 𝕨 must be sorted"),str("p⊐𝕩 or 𝕨∊p: p must have rank at least 1"),str("p⊐n or n∊p: Rank of n must be at least cell rank of p"),str("∊𝕩 or ⊐𝕩: 𝕩 must have rank at least 1"),str("𝕨⍷𝕩: Rank of 𝕨 cannot exceed rank of 𝕩"),str("/𝕩: 𝕩 must have rank 1"),str("/𝕩: 𝕩 must consist of natural numbers"),str("↑𝕩: 𝕩 must have rank at least 1"),str("↓𝕩: 𝕩 must have rank at least 1"),str("𝕨⊑𝕩: Indices in 𝕨 must consist of integers"),str("𝕨⊑𝕩: Index out of range"),str("𝕨⊏𝕩: Indices in 𝕨 must be integers"),str("𝕨⊏𝕩: Indices out of range"),str("𝕨⊑𝕩: 𝕩 must be a list when 𝕨 is a number"),str("𝕨⊑𝕩: Indices in compound 𝕨 must be lists"),str("𝕨⊑𝕩: Index length in 𝕨 must match rank of 𝕩"),str("𝕨"),str("𝕩: "),str("𝕩 must have rank at least 1 for simple 𝕨"),str("Compound 𝕨 must have rank at most 1"),str("Length of compound 𝕨 must be at most rank of 𝕩"),str("𝕨 must be an array of numbers or list of such arrays"),str("⊏𝕩: 𝕩 must have rank at least 1"),str("⊏𝕩: 𝕩 cannot have length 0"),str("⊏"),str("⊑𝕩: 𝕩 can\'t be empty"),str("⌽𝕩: 𝕩 must have rank at least 1"),str("𝕨⌽𝕩: 𝕨 must consist of integers"),str("𝕨⌽𝕩: 𝕨 too large"),str("⌽"),str("𝕨/𝕩: 𝕨 must consist of natural numbers"),str("𝕨/𝕩: Lengths of components of 𝕨 must match 𝕩"),str("𝕨/𝕩: Components of 𝕨 must have rank 0 or 1"),str("/"),str("=≠≡≢"),str("Cannot modify fill with Structural Under"),str("⌾: Incompatible result elements in structural Under"),str(">𝕩: Elements of 𝕩 must have matching shapes"),str("𝕨∾𝕩: Rank of 𝕨 and 𝕩 must differ by at most 1"),str("𝕨∾𝕩: Cell shapes of 𝕨 and 𝕩 must match"),str("∾𝕩: 𝕩 must have an element with rank at least =𝕩"),str("∾𝕩: Incompatible element ranks"),str("∾𝕩: 𝕩 element shapes must be compatible"),str("∾𝕩: 𝕩 element trailing shapes must match"),str("∾𝕩: empty 𝕩 fill rank must be at least argument rank"),str("∾𝕩: 𝕩 must be an array"),str("⊢⊣˜∘○⊸⟜⊘◶"),str("´˝"),str("=≠≢"),str("<"),str("≍"),str("↕/»«⊔"),str("⥊↑↓⌽⍉⊏⊑"),str("↑"),str("↓"),str("𝕩: 𝕨 must "),str("have rank at most 1"),str("consist of integers"),str("« or »: 𝕩 must have rank at least 1"),str("« or »: 𝕨 must not have higher rank than 𝕩"),str("« or »: Rank of 𝕨 must be at least rank of 𝕩 minus 1"),str("« or »: 𝕨 must share 𝕩\'s major cell shape"),str("↕𝕩: 𝕩 must consist of natural numbers"),str("↕𝕩: 𝕩 must be a number or list"),str("𝕨↕𝕩: 𝕨 must have rank at most 1"),str("𝕨↕𝕩: Length of 𝕨 must be at most rank of 𝕩"),str("𝕨↕𝕩: 𝕨 must consist of natural numbers"),str("𝕨↕𝕩: Window length 𝕨 must be at most axis length plus one"),str("˘: Argument lengths don\'t agree"),str("˝: 𝕩 must have rank at least 1"),str("˝: Identity does not exist"),str("∘⌊⌽↑"),str("𝕨⥊𝕩: 𝕨 must have rank at most 1"),str("𝕨⥊𝕩: 𝕨 must consist of natural numbers"),str("𝕨⥊𝕩: Can\'t compute axis length when rest of shape is empty"),str("𝕨⥊𝕩: 𝕨 must consist of natural numbers or ∘ ⌊ ⌽ ↑"),str("𝕨⥊𝕩: Shape must be exact when reshaping with ∘"),str("𝕨⥊𝕩: Can\'t produce non-empty array from empty 𝕩"),str("⊔: Grouping argument must consist of integers"),str("⊔: Grouping argument values cannot be less than ¯1"),str("⊔𝕩: 𝕩 must be a list"),str("𝕨⊔𝕩: Rank of simple 𝕨 must be at most rank of 𝕩"),str("𝕨⊔𝕩: Lengths of 𝕨 must equal to 𝕩, or one more only in a rank-1 component"),str("𝕨⊔𝕩: 𝕩 must be an array"),str("⎉ or ⚇: 𝔾 result must have rank at most 1"),str("⎉ or ⚇: 𝔾 result must have 1 to 3 elements"),str("⎉ or ⚇: 𝔾 result must consist of integers"),str("⍟: 𝕨𝔾𝕩 must consist of integers"),str("≥: Needs two arguments"),str("≤: Needs two arguments"),str("𝕨⊔𝕩: Compound 𝕨 must be a list"),str("𝕨⊔𝕩: Total rank of 𝕨 must be at most rank of 𝕩"),str("⊒: Rank of 𝕨 must be at least 1"),str("⊒: Rank of 𝕩 must be at least cell rank of 𝕨"),str("𝕨⍉𝕩: 𝕨 must have rank at most 1"),str("𝕨⍉𝕩: Length of 𝕨 must not exceed rank of 𝕩"),str("𝕨⍉𝕩: 𝕨 must consist of natural numbers"),str("𝕨⍉𝕩: Skipped result axis"),str("Cannot currently invert blocks"),str("Cannot invert modifier"),str("⁼: Inverse failed"),str("⁼: Inverse does not exist"),str("⁼: Inverse not found")]
 ,[[0,1,0],[0,0,1],[0,0,2],[0,0,3],[0,0,4],[0,0,5],[1,1,6],[2,1,7],[1,1,8],[0,0,9],[2,1,10],[0,0,11],[1,0,12],[1,1,13],[1,1,14],[0,0,15],[0,0,16],[1,0,17],[0,0,[[],[18]]],[1,1,19],[1,1,20],[1,0,21],[0,0,[[],[22]]],[0,0,23],[0,0,24],[0,0,25],[0,0,26],[0,0,27],[0,0,28],[0,0,29],[0,0,30],[0,0,31],[0,0,[[],[32]]],[0,0,33],[0,0,[[],[34]]],[1,1,35],[0,0,36],[0,0,[[],[37]]],[0,0,[[],[38]]],[0,0,39],[0,0,40],[0,0,[[],[41]]],[0,0,[[],[42]]],[0,1,43],[0,0,44],[0,0,[[],[45]]],[0,0,46],[0,0,47],[0,0,[[],[48]]],[2,1,49],[1,0,50],[1,0,51],[0,0,52],[0,0,[[],[53]]],[2,0,54],[0,0,55],[0,0,[[],[56]]],[0,0,57],[2,1,58],[0,0,59],[0,0,60],[0,0,61],[0,0,62],[0,0,[[],[63]]],[0,0,[[],[64]]],[0,0,65],[0,0,66],[0,0,67],[0,1,68],[1,1,69],[0,0,70],[0,0,71],[0,0,72],[0,0,73],[0,0,[[],[74]]],[0,0,75],[1,0,76],[1,0,77],[0,0,[[],[78]]],[1,0,79],[0,0,80],[0,0,[[],[81]]],[0,0,[[],[82]]],[0,0,[[],[83]]],[1,1,84],[2,0,85],[2,0,86],[2,0,87],[0,0,[[],[88]]],[0,0,[[],[89]]],[0,0,[[],[90]]],[0,0,[[],[91]]],[0,0,[[],[92]]],[0,0,[[],[93]]],[0,0,[[],[94]]],[1,1,95],[0,0,96],[0,0,97],[0,0,[[],[98]]],[0,0,99],[0,0,100],[0,0,101],[0,0,102],[0,0,[[],[103]]],[0,0,104],[0,0,[[],[105]]],[0,0,106],[2,0,107],[0,0,108],[0,0,[[],[109]]],[0,0,[[],[110]]],[0,0,111],[0,0,[[],[112]]],[0,0,113],[0,0,114],[0,0,115],[0,0,116],[0,0,117],[0,0,118],[0,0,119],[0,0,120],[0,0,121],[0,0,122],[0,0,[[],[123]]],[0,0,[[],[124]]],[0,0,[[],[125]]],[0,0,[[],[126]]],[0,0,[[],[127]]],[0,0,128],[0,0,[[],[129]]],[1,0,130],[2,0,131],[0,0,132],[0,0,133],[0,0,134],[0,0,135],[0,0,136],[1,0,137],[1,0,[[],[138]]],[0,0,139],[0,0,[[],[140]]],[0,0,[[],[141]]],[0,0,142],[0,0,143],[0,0,144],[0,0,145],[0,0,[[],[146]]],[0,0,[[],[147]]],[0,0,148],[2,0,149],[0,0,[[],[150]]],[0,0,151],[0,0,[[],[152]]],[0,0,[[],[153]]],[0,0,154],[1,1,155],[0,0,156],[0,0,[[],[157]]],[0,0,158],[0,0,[[],[159]]],[0,0,160],[0,0,[[],[161]]],[0,0,162],[0,0,163],[0,0,[[],[164]]],[2,0,165],[0,0,[[],[166]]],[0,0,[[],[167]]],[0,0,168],[0,0,169],[1,0,[[],[170]]],[0,0,[[],[171]]],[1,0,172],[0,0,173],[1,0,174],[2,0,[[],[175]]],[0,0,176],[0,0,177],[0,0,178],[0,0,[[],[179]]],[0,0,180],[0,0,181],[0,0,[[],[182]]],[0,0,183],[1,0,[[],[184]]],[1,1,185],[0,0,[[],[186]]],[0,0,[[],[187]]],[0,0,[[],[188]]],[0,0,[[],[189]]],[0,0,[[],[190]]],[0,0,[[],[191]]],[0,0,[[],[192]]],[0,0,193],[0,0,194],[1,1,195],[0,0,196],[0,0,[[],[197]]],[0,0,[[],[198]]],[0,0,199],[0,0,200],[0,0,201],[0,0,202],[0,0,203],[0,0,204],[0,0,205],[0,0,206],[0,0,207],[0,0,[[],[208]]],[0,0,209],[2,1,210],[2,1,211],[1,1,212],[1,1,213],[1,1,214],[0,0,[[],[215]]],[0,0,216],[0,0,217],[0,0,218],[0,0,219],[0,0,[[],[220]]],[0,0,[[],[221]]],[1,1,222],[0,0,223],[0,0,[[],[224]]],[0,0,225],[1,0,226],[0,0,227],[0,0,[[],[228]]],[0,0,229],[0,0,230],[0,0,[[],[231]]],[0,0,232],[0,0,233],[0,0,234],[0,0,235],[0,0,[[],[236]]],[0,0,237],[2,0,238],[0,0,[[],[239]]],[0,0,240],[0,0,241],[0,1,242],[1,0,243],[1,1,244],[0,0,245],[0,0,246],[1,0,247],[0,0,[[],[248]]],[0,0,249],[0,0,250],[1,0,251],[0,0,[[],[252]]],[0,0,[[],[253]]],[0,0,254],[0,0,255],[0,0,[[],[256]]],[0,0,257],[0,0,[[],[258]]],[0,0,259],[0,0,260],[1,0,261],[0,0,262],[0,0,263],[0,0,[[],[264]]],[0,0,265],[1,0,266],[0,0,267],[0,0,[[],[268]]],[2,0,269],[1,1,270],[1,1,271],[0,0,272],[0,0,273],[0,0,274],[0,0,275],[0,0,276],[0,0,277],[0,0,278],[0,0,279],[0,0,280],[0,0,[[],[281]]],[0,0,282],[0,0,[[],[283]]],[0,0,284],[0,0,285],[0,0,[[],[286]]],[0,0,287],[1,1,288],[2,1,289],[0,0,290],[0,0,[[],[291]]],[0,0,292],[0,0,[[],[293]]],[0,0,294],[1,0,295],[0,0,[[],[296]]],[0,0,297],[0,0,298],[0,0,299],[0,0,300],[0,0,[[],[301]]],[0,0,[[],[302]]],[0,0,303],[0,0,304],[0,0,305],[0,0,306]]
 ,[[0,184],[4067,3],[4075,3],[4079,3],[4092,3],[4107,3],[4119,2],[4148,3],[4180,2],[4197,4],[4259,5],[4295,3],[4302,5],[4360,4],[4426,3],[4481,3],[4492,4],[4557,9],[4626,5],[4703,5],[4770,4],[4826,8],[4998,8],[5155,3],[5200,3],[5249,3],[5295,6],[5380,3],[5404,7],[5518,3],[5580,4],[5651,6],[5715,3],[5755,5],[5832,3],[5849,14],[6029,3],[6075,3],[6095,3],[6112,4],[6170,4],[6246,5],[6320,3],[6379,0],[6390,4],[6457,3],[6467,3],[6474,3],[6488,3],[6496,3],[6534,5],[6571,5],[6598,3],[6602,3],[6616,16],[6911,3],[6936,3],[6961,3],[6988,3],[7053,4],[7153,7],[7349,7],[7423,15],[7656,5],[7735,3],[7743,6],[7770,5],[7791,6],[7818,11],[8174,9],[8331,4],[8407,7],[8519,7],[8636,3],[8743,4],[8805,9],[8926,8],[9000,7],[9062,9],[9220,9],[9368,4],[9479,8],[9693,3],[9737,3],[9874,2],[9895,14],[10020,9],[10201,10],[10274,3],[10300,10],[10708,4],[10812,3],[10886,3],[10937,4],[11064,4],[11180,2],[11188,3],[11196,3],[11204,3],[11224,8],[11299,3],[11307,3],[11315,3],[11323,3],[11331,3],[11339,3],[11350,3],[11371,7],[11412,6],[11631,4],[11731,4],[11791,3],[11834,5],[11972,3],[12019,3],[12045,3],[12094,3],[12123,3],[12131,3],[12164,3],[12208,3],[12256,3],[12268,3],[12341,4],[12377,3],[12392,3],[12407,3],[12425,3],[12439,3],[12449,3],[12501,6],[12524,6],[12552,3],[12564,3],[12595,3],[12603,3],[12611,3],[12619,5],[12654,12],[12827,3],[12838,3],[12858,3],[12878,3],[12889,3],[12900,3],[12915,7],[12986,6],[13032,3],[13050,3],[13057,6],[13092,10],[13269,4],[13325,11],[13526,4],[13593,3],[13618,2],[13633,3],[13660,7],[13801,3],[13830,3],[13840,3],[13859,3],[13869,3],[13878,3],[13888,3],[13905,11],[13978,6],[14078,8],[14156,3],[14164,3],[14206,7],[14232,16],[14746,5],[14762,7],[14898,5],[14931,6],[14960,3],[14970,3],[14980,4],[14991,4],[15030,4],[15053,3],[15061,3],[15086,3],[15098,6],[15194,2],[15244,8],[15425,11],[15630,3],[15689,3],[15716,3],[15733,3],[15750,8],[15932,4],[16003,3],[16034,2],[16068,3],[16103,3],[16124,3],[16145,5],[16216,3],[16236,8],[16466,3],[16534,3],[16564,3],[16595,3],[16629,5],[16696,3],[16705,3],[16718,3],[16722,3],[16730,3],[16740,2],[16754,2],[16769,6],[16863,3],[16873,3],[16880,9],[17014,3],[17040,3],[17064,3],[17085,3],[17098,2],[17102,3],[17138,5],[17240,3],[17287,5],[17310,3],[17327,14],[17611,13],[17808,3],[17851,4],[17934,3],[17970,3],[17999,3],[18010,4],[18046,7],[18181,10],[18371,6],[18406,3],[18471,3],[18503,4],[18526,1],[18552,5],[18563,2],[18587,4],[18598,4],[18609,5],[18629,4],[18704,3],[18737,3],[18767,5],[18792,3],[18858,3],[18872,3],[18883,5],[18982,4],[19111,3],[19135,3],[19181,3],[19214,3],[19243,5],[19275,3],[19311,3],[19337,3],[19365,3],[19387,5],[19397,3],[19430,3],[19450,6],[19465,2],[19473,2],[19481,5],[19519,3],[19529,3],[19545,5],[19596,3],[19621,6],[19730,3],[19770,3],[19811,5],[19861,6],[19998,3],[20006,8],[20063,5],[20092,3],[20107,3],[20157,3],[20173,2],[20191,3],[20212,3],[20230,3],[20259,3],[20278,3],[20297,6],[20376,5],[20391,14],[20555,3],[20576,3],[20592,4],[20648,3],[20680,3],[20763,3],[20797,3],[20826,3],[20843,3],[20860,3]]
);

// Use high-precision modulus (⚇0)
abs_mod.prim=8; runtime[8] = runtime[61](abs_mod,0);

// Cache inverse calls and handle block inverses
setInv(
  inv => f => !isfunc(f) ? inv(f) : f.inverse || (f.inverse=inv(f)),
  snv => f => !isfunc(f) ? snv(f) : f.sinverse|| (f.sinverse=snv(f))
);

let rtAssert = runtime[43] = assertFn("!");
runtime.map((r,i) => { r.prim = i; });
let decompose = x => list(!isfunc(x) ? [-1,x] : has(x.prim) ? [0,x]
                        : x.repr ? x.repr() : [1,x]);
setPrims(list([decompose, x=>has(x.prim)?x.prim:runtime.length]));
let glyphs = ["+-×÷⋆√⌊⌈|¬∧∨<>≠=≤≥≡≢⊣⊢⥊∾≍⋈↑↓↕«»⌽⍉/⍋⍒⊏⊑⊐⊒∊⍷⊔!", "˙˜˘¨⌜⁼´˝`", "∘○⊸⟜⌾⊘◶⎉⚇⍟⎊"];
let gl = glyphs.join("");
let glyph = x => {
  let g = gl[x.prim];
  if (!has(g)) throw Error("•Glyph 𝕩: 𝕩 must be a primitive");
  return g;
}

// Compiler
runtime[43] = assertFn("Compiler");
let compgen_raw = run(
  [1,1,7,34,0,1,33,0,3,33,0,4,33,0,5,12,3,48,6,0,59,0,60,11,2,0,0,0,91,17,33,0,6,48,6,34,0,3,32,0,4,34,0,5,32,0,6,0,21,0,97,17,0,98,0,99,0,100,0,101,0,102,0,103,0,20,0,62,0,51,11,2,17,0,44,0,34,26,0,61,17,0,104,0,59,0,26,16,0,0,0,92,17,0,63,33,0,7,48,0,26,16,0,46,0,0,26,0,106,17,0,20,16,0,43,0,21,26,0,105,17,0,64,0,0,0,91,17,0,21,0,109,17,0,21,0,108,0,25,0,61,17,17,0,21,0,107,17,0,110,11,15,0,45,0,13,26,0,23,0,21,21,16,33,0,8,33,0,9,12,2,48,6,32,0,9,0,50,0,0,26,0,28,0,65,21,0,54,0,43,0,45,0,23,26,26,27,16,33,0,10,33,0,11,33,0,12,33,0,13,33,0,14,33,0,15,33,0,16,33,0,17,33,0,18,33,0,19,33,0,20,33,0,21,33,0,22,33,0,23,33,0,24,12,15,48,6,0,35,0,54,0,1,27,0,12,0,9,0,15,0,53,0,65,27,21,0,35,0,53,0,66,27,21,33,0,25,48,6,32,0,13,0,35,16,33,0,26,48,6,32,0,14,0,35,16,0,0,0,67,17,33,0,27,48,6,0,68,0,1,0,54,0,23,27,16,0,0,32,0,19,17,33,0,28,48,6,32,0,19,0,35,16,0,0,0,69,17,33,0,29,48,6,0,13,0,11,0,66,21,0,43,0,31,26,0,111,21,0,54,0,21,27,33,0,30,48,6,1,2,33,0,31,48,6,1,3,32,0,8,26,33,0,32,48,6,0,115,0,31,0,53,34,0,4,0,54,0,38,27,27,16,32,0,32,16,33,0,33,48,6,32,0,20,0,35,16,33,0,34,48,0,0,0,66,17,33,0,35,48,6,0,66,0,67,0,71,0,61,0,61,0,72,0,61,0,65,11,2,0,73,0,65,0,68,0,74,11,2,0,31,16,0,8,16,11,10,0,42,34,0,9,26,0,24,0,13,21,0,54,0,43,0,45,0,20,26,26,27,16,0,21,16,0,43,0,21,26,0,70,17,33,0,36,48,6,0,2,0,50,0,6,26,20,33,0,37,48,6,32,0,37,0,53,0,13,0,51,0,26,27,27,33,0,38,48,6,32,0,37,0,53,0,13,0,51,0,26,27,0,0,0,66,21,27,33,0,39,48,6,0,18,0,31,0,10,21,0,43,0,21,26,0,31,0,21,21,0,66,21,33,0,40,48,6,1,4,33,0,41,48,6,1,5,33,0,42,48,6,1,6,33,0,43,48,6,1,7,33,0,44,48,7,34,0,1,0,11,16,0,45,1,8,26,34,0,4,17,0,21,16,7,32,1,31,32,1,30,0,53,0,112,27,0,113,0,19,11,3,26,0,41,20,33,0,2,48,6,32,0,1,0,54,0,34,27,0,54,0,17,0,58,0,18,0,31,0,13,21,0,51,34,0,2,27,27,27,0,18,0,19,21,33,0,3,48,6,32,0,1,0,34,34,0,1,0,32,16,33,0,4,48,17,33,0,5,48,0,25,0,53,0,1,27,0,14,0,25,21,0,66,17,0,48,0,10,26,0,58,0,21,0,53,0,65,27,0,43,0,31,26,32,0,5,21,0,21,0,114,21,0,41,20,27,16,6,0,19,0,32,34,0,5,21,0,6,0,66,21,0,43,0,1,26,0,66,21,0,43,0,34,26,34,0,4,21,34,0,3,0,19,21,7,34,0,2,33,0,3,33,0,4,12,2,48,6,0,93,0,14,32,0,1,17,33,0,5,48,6,0,94,0,14,32,0,1,17,33,0,6,48,0,9,0,53,0,27,0,53,0,65,0,65,11,2,27,27,16,0,31,16,33,0,7,48,6,0,95,0,14,32,0,1,17,33,0,8,48,0,31,16,33,0,9,48,6,32,0,7,32,0,9,0,25,0,61,17,32,0,5,0,31,16,11,3,0,21,16,33,0,10,48,0,32,16,33,0,11,48,6,32,0,10,0,34,32,0,11,17,33,0,10,49,6,34,0,7,0,0,0,67,17,34,0,9,0,25,0,66,17,0,66,0,21,32,1,6,0,38,32,0,1,17,17,0,31,16,0,31,0,53,32,0,5,0,50,0,0,26,16,0,21,0,65,17,0,54,0,34,0,51,0,28,0,54,0,1,27,27,27,27,16,11,3,0,21,16,0,34,34,0,11,17,33,0,12,48,6,0,19,0,35,0,61,21,0,14,0,65,21,0,58,1,9,27,33,0,13,48,6,0,31,0,53,32,0,12,0,32,32,0,10,17,0,45,0,65,26,0,21,0,66,21,32,0,13,0,13,0,54,0,21,27,21,0,24,0,13,21,16,27,0,47,0,31,26,20,0,24,32,0,1,0,13,16,21,33,0,14,48,6,34,0,10,32,0,14,16,33,0,15,48,6,34,0,12,34,0,14,16,33,0,16,48,6,32,0,16,0,10,32,0,15,17,33,0,17,48,0,50,0,13,26,0,66,17,33,0,18,48,6,32,0,18,0,11,34,0,16,17,0,9,32,0,8,0,10,32,0,6,17,17,0,48,0,10,26,0,58,1,10,27,16,6,0,96,0,14,32,0,1,17,0,9,32,0,18,17,33,0,19,48,6,34,0,6,0,9,32,0,15,17,0,28,16,0,10,32,0,19,17,0,31,16,33,0,20,48,6,32,0,20,34,0,19,0,54,0,34,27,0,2,0,91,0,1,0,96,17,21,0,1,32,0,1,0,54,0,34,27,21,16,33,0,21,48,6,32,0,8,0,9,33,0,15,50,0,27,16,0,9,32,0,8,17,33,0,22,48,0,12,33,0,18,50,6,34,0,17,0,9,34,0,8,17,0,50,0,13,26,16,0,11,0,66,0,54,0,21,27,0,52,0,2,0,53,0,50,0,0,26,27,27,0,18,21,34,0,22,0,28,16,0,12,34,0,15,17,33,0,23,48,17,0,43,0,1,26,0,66,17,0,43,0,40,26,32,0,1,17,33,0,24,48,6,32,0,18,0,31,16,33,0,25,48,6,32,0,18,0,28,0,66,17,0,31,16,0,24,0,53,0,13,27,32,0,25,17,33,0,26,48,6,32,0,25,34,0,5,0,54,0,34,27,0,2,0,1,21,32,0,26,17,0,1,33,0,26,50,6,34,0,1,0,34,32,0,25,17,32,1,32,16,33,0,27,48,6,32,1,21,32,1,25,32,0,27,17,0,27,16,0,12,32,1,20,0,35,16,0,14,32,0,27,17,17,33,0,28,48,6,32,1,29,0,14,32,0,27,17,33,0,29,48,6,32,1,23,0,35,0,52,0,43,0,1,26,0,23,0,18,21,27,32,1,20,17,32,1,25,32,0,27,17,0,11,34,0,28,17,0,10,32,0,29,17,33,0,30,48,0,11,0,53,0,28,27,16,33,0,31,48,6,32,1,22,0,48,0,0,26,16,0,0,0,61,17,0,14,32,0,27,17,33,0,32,48,6,32,1,23,0,35,16,0,14,32,0,27,17,33,0,33,48,6,32,0,32,0,12,32,0,30,17,0,18,0,31,0,10,21,0,27,0,31,0,19,21,0,66,21,0,11,0,31,21,32,0,31,17,0,48,0,10,26,0,58,1,11,27,16,6,32,0,27,0,31,32,0,31,17,0,43,0,1,26,32,1,22,0,35,16,17,0,43,0,3,0,51,0,5,27,26,32,1,7,17,0,2,32,0,29,0,31,32,0,31,17,0,8,16,17,33,0,34,48,6,32,1,22,0,35,16,0,0,32,1,7,17,0,16,32,0,27,17,0,9,32,0,30,17,0,2,32,1,7,17,0,1,33,0,27,50,6,32,0,30,0,27,16,0,12,32,0,33,17,0,48,0,10,26,0,58,1,12,27,16,6,32,0,33,0,10,0,53,0,28,27,16,0,13,33,0,31,50,6,34,0,33,0,31,32,0,31,17,0,19,0,0,0,8,0,54,0,2,27,21,0,65,0,16,32,0,34,17,0,2,0,67,17,17,33,0,35,48,0,11,0,65,17,33,0,36,48,6,32,0,36,0,8,16,0,21,0,65,17,0,34,32,0,31,0,50,0,0,26,16,17,0,9,32,0,30,17,33,0,37,48,0,12,32,0,30,17,33,0,38,48,6,32,0,30,0,2,32,0,27,17,0,21,0,53,0,65,27,0,31,32,0,37,0,21,0,65,17,0,27,0,54,0,10,27,16,0,11,32,0,32,0,21,0,65,17,17,21,0,52,32,1,42,27,32,0,26,17,33,0,39,48,6,34,0,34,0,31,32,0,36,17,0,14,0,53,0,67,27,0,54,0,9,27,0,0,0,19,21,32,0,38,0,11,0,53,0,27,27,16,0,43,0,31,26,32,0,32,17,17,33,0,40,48,6,32,0,37,0,12,32,0,31,17,0,50,0,0,26,16,0,2,32,0,32,0,12,32,0,38,17,17,33,0,41,48,0,11,0,53,0,50,0,6,26,0,28,20,27,16,33,0,42,48,6,32,0,29,0,31,32,0,42,17,0,11,32,0,35,0,31,34,0,36,17,0,14,0,66,17,17,33,0,43,48,6,32,0,31,33,0,44,48,0,9,34,0,37,17,0,10,32,0,42,17,33,0,31,49,6,32,0,29,0,31,32,0,31,17,0,8,16,0,43,0,31,26,33,0,35,50,0,31,0,53,0,11,0,53,0,65,27,27,16,0,14,0,66,17,33,0,45,48,6,32,0,43,0,21,0,65,17,0,34,32,0,41,17,0,11,0,53,32,0,42,27,0,10,0,13,0,53,32,0,29,27,21,16,0,9,32,0,32,0,12,34,0,38,17,17,0,48,0,10,26,0,58,1,13,27,16,6,34,0,42,0,11,32,0,29,17,0,31,16,32,0,27,0,54,0,34,27,0,12,32,1,22,0,35,16,21,0,11,32,0,45,21,0,54,0,19,0,48,0,10,26,20,0,58,1,14,27,27,16,6,34,0,43,0,8,16,0,2,0,53,0,50,0,0,26,27,16,0,21,0,65,17,0,43,0,1,26,0,66,17,0,34,33,0,41,50,6,32,1,8,0,34,32,0,27,17,0,40,34,0,41,17,0,40,0,67,0,21,34,0,45,17,17,0,35,0,55,0,21,0,53,32,0,4,27,27,16,33,0,46,48,6,34,0,18,0,28,16,0,50,0,0,26,16,0,34,34,0,23,0,31,16,0,21,34,0,20,17,17,0,21,34,0,29,0,12,32,0,31,17,0,31,16,0,34,0,53,0,33,27,34,0,35,17,17,33,0,47,48,6,34,0,39,34,0,21,34,0,24,11,3,0,21,34,0,46,17,33,0,48,48,6,32,0,48,0,45,0,36,26,16,33,0,49,48,0,43,0,45,0,31,0,53,0,50,0,6,26,0,28,0,61,21,0,12,0,19,21,27,26,26,33,0,48,50,6,32,0,48,0,35,0,53,0,66,27,0,55,34,0,3,27,16,33,0,48,49,6,32,1,23,32,1,25,32,0,27,17,0,10,32,0,30,17,0,8,16,33,0,50,48,6,34,0,44,0,10,32,0,50,17,0,43,0,31,26,33,0,26,50,6,34,0,30,0,27,0,54,0,12,27,16,0,10,32,0,50,17,0,43,0,31,26,33,0,25,50,6,32,0,27,0,34,0,53,34,0,47,27,0,55,32,0,48,0,45,0,13,26,16,33,0,51,48,0,28,32,1,35,17,0,50,0,0,26,16,0,0,34,0,49,17,0,21,16,0,25,0,53,0,13,27,34,0,4,17,27,16,0,31,34,0,50,0,10,32,0,31,17,17,33,0,27,49,6,32,1,13,0,35,0,54,0,1,27,0,2,32,1,25,21,32,0,27,17,0,1,33,0,27,50,6,32,1,26,0,14,32,0,27,17,0,43,0,21,26,0,13,0,21,21,0,66,17,0,31,16,0,25,0,66,17,0,25,0,61,17,33,0,52,48,0,45,0,66,26,16,0,50,0,13,26,16,33,0,53,48,6,32,0,27,0,34,32,0,53,0,1,32,0,52,17,17,0,0,0,53,32,0,53,27,0,43,0,38,26,32,1,16,0,35,16,0,0,0,71,0,68,11,2,17,21,0,10,32,1,14,0,54,32,1,25,27,21,16,0,27,0,54,0,10,27,16,0,12,34,0,53,17,0,43,0,31,26,34,0,52,17,33,0,54,48,6,32,1,26,0,13,32,0,27,17,0,34,0,53,34,0,54,27,0,55,0,45,0,66,26,27,16,0,43,1,15,26,33,0,27,50,6,34,0,51,0,24,0,67,17,0,48,0,0,26,16,0,23,32,1,35,17,32,1,25,32,0,27,17,0,10,32,1,29,0,14,32,0,27,17,17,33,0,55,48,6,0,65,0,21,32,1,36,17,0,34,32,0,27,0,5,32,1,35,17,17,0,31,0,53,34,0,55,27,0,55,34,0,40,27,16,33,0,56,48,6,32,0,27,0,15,0,53,0,0,0,53,0,71,27,27,0,0,0,68,21,0,2,0,68,0,54,0,23,27,32,1,25,0,19,21,21,32,1,19,0,35,16,17,0,0,33,0,27,50,6,32,0,27,0,14,0,2,0,59,21,0,0,0,11,21,32,1,34,17,0,1,33,0,27,50,6,34,0,27,34,0,56,34,0,48,32,0,26,32,0,25,11,5,7,1,16,33,0,3,48,6,32,1,31,32,1,30,0,53,0,121,27,0,122,32,1,8,0,54,0,34,27,0,123,11,4,26,33,0,4,48,6,32,1,20,0,48,0,26,0,54,0,0,27,26,16,0,21,0,124,0,48,0,1,26,16,0,0,32,1,22,0,35,16,17,17,0,45,32,0,1,0,54,0,14,27,26,16,33,0,5,33,0,6,33,0,7,33,0,8,33,0,9,12,5,48,6,32,1,22,0,35,16,0,11,32,0,1,17,0,10,32,0,5,17,0,8,16,0,10,32,1,29,0,14,32,0,1,17,17,32,0,2,32,0,3,32,0,1,0,54,0,31,27,0,51,34,0,4,27,27,16,6,32,0,1,0,14,0,65,17,33,0,10,48,0,10,32,0,5,17,33,0,11,48,0,10,32,0,6,17,33,0,12,48,6,32,0,11,0,10,32,0,7,17,0,8,16,33,0,13,48,6,32,0,11,0,28,16,0,12,32,0,7,17,32,0,2,32,0,3,0,125,27,16,6,32,0,12,0,10,32,0,7,17,0,9,32,0,12,0,27,0,66,17,17,32,0,2,32,0,3,0,126,27,16,6,32,0,1,0,31,32,0,12,17,0,11,0,53,0,28,27,0,10,0,14,0,53,0,65,27,21,16,0,8,16,32,0,2,0,31,34,0,12,21,32,0,3,0,127,27,16,6,32,0,5,0,28,16,0,12,32,0,7,17,0,10,32,0,10,17,0,27,0,10,34,0,5,0,27,16,0,9,32,0,8,17,21,0,9,0,28,21,0,66,17,0,12,32,0,9,0,10,34,0,8,17,17,34,0,2,34,0,3,0,128,27,16,6,32,0,13,0,9,0,53,0,8,32,1,39,0,52,0,12,27,32,1,21,0,35,16,0,13,32,0,1,17,0,11,32,0,6,17,21,0,15,0,27,21,27,16,33,0,14,48,0,9,0,53,0,50,0,0,26,32,1,37,0,1,0,19,21,0,8,21,0,16,0,75,21,27,16,33,0,15,48,6,32,1,20,0,35,16,0,0,0,66,17,0,1,34,0,1,17,0,2,32,0,15,17,0,31,32,0,6,0,8,16,17,0,43,0,34,26,0,59,0,26,16,0,21,0,76,0,66,11,2,17,0,21,0,61,17,17,33,0,16,48,6,32,0,16,0,50,0,0,0,53,0,59,0,54,0,2,27,27,0,2,0,15,0,53,0,65,27,21,26,0,65,17,0,31,34,0,16,0,15,0,65,17,0,27,0,54,0,12,27,16,17,33,0,17,48,6,34,0,7,0,28,16,0,31,34,0,13,0,28,0,54,0,12,27,16,33,0,18,48,17,0,43,0,34,26,0,66,0,61,11,2,17,0,2,33,0,17,50,6,34,0,10,0,31,34,0,11,17,33,0,19,48,6,34,0,14,0,27,0,54,0,12,27,0,31,20,0,52,0,1,0,53,34,0,6,0,27,16,32,1,39,16,0,54,0,34,27,27,0,19,0,2,0,11,21,0,1,0,53,0,28,27,21,0,1,0,1,21,27,34,0,15,17,0,31,32,0,19,17,33,0,20,48,6,32,0,19,0,8,16,0,2,32,0,17,17,0,27,16,0,31,32,0,19,17,0,43,0,1,26,34,0,20,17,33,0,21,48,0,7,16,0,4,0,59,17,33,0,22,48,6,0,66,0,77,11,2,0,34,34,0,9,0,31,34,0,18,17,17,0,2,34,0,17,17,0,31,34,0,19,17,0,31,0,53,32,0,21,0,11,0,65,17,27,0,55,0,2,27,32,0,22,17,0,31,0,53,34,0,21,0,12,0,65,17,27,0,55,0,43,0,3,26,27,34,0,22,17,7,34,0,2,33,0,3,33,0,4,33,0,5,33,0,6,33,0,7,12,5,48,6,34,0,4,0,13,16,33,0,8,48,6,1,17,33,0,9,48,6,1,18,33,0,10,48,6,32,0,1,0,13,16,0,11,0,65,17,0,41,0,133,17,6,32,1,16,32,1,25,32,0,1,17,0,2,32,0,3,0,2,0,67,17,0,1,0,61,17,17,33,0,11,48,0,50,0,0,26,16,33,0,12,48,0,32,16,33,0,13,48,6,0,61,0,14,32,0,3,17,0,34,32,0,13,17,33,0,14,48,6,32,0,1,0,34,32,0,13,17,33,0,15,48,0,31,0,53,0,65,0,54,0,11,27,27,0,43,0,1,26,0,66,21,0,17,0,58,34,0,9,27,0,31,0,53,0,65,0,54,0,12,27,27,21,32,0,11,0,34,32,0,13,17,17,6,34,0,12,0,35,32,0,13,0,35,16,17,0,15,0,65,17,0,41,0,134,17,6,32,0,15,0,31,32,0,14,17,33,0,16,48,0,14,0,53,32,1,26,27,0,10,0,14,0,53,32,1,27,27,21,0,9,0,53,0,28,27,0,14,0,53,32,1,16,0,35,16,27,21,16,32,0,13,0,31,32,0,14,21,32,0,10,0,135,27,16,6,32,0,16,0,31,0,53,0,13,0,53,32,1,26,27,27,16,0,14,0,53,32,1,27,27,0,9,0,53,0,28,27,0,14,0,53,32,1,16,0,35,16,0,0,0,70,17,27,21,16,32,0,13,0,31,32,0,14,21,0,31,34,0,16,0,13,32,1,26,21,21,32,0,10,0,136,27,16,6,34,0,14,0,21,0,66,17,0,9,0,53,0,27,0,53,0,66,27,27,16,1,19,16,6,0,70,0,14,32,0,3,17,33,0,17,48,0,10,0,53,0,27,27,16,33,0,18,48,6,32,0,11,0,0,32,0,3,17,0,15,0,65,17,0,11,32,0,17,17,0,27,16,33,0,19,48,0,12,32,1,15,0,35,16,0,14,32,0,1,17,17,0,1,33,0,3,50,6,32,0,3,0,15,0,65,17,0,11,32,0,17,17,0,28,16,0,9,32,1,15,0,35,16,0,0,0,67,17,0,14,32,0,1,17,0,10,34,0,19,17,17,0,12,32,0,3,0,73,0,54,0,15,27,0,9,0,11,0,53,0,78,27,21,16,17,0,13,0,26,20,32,0,10,0,138,27,16,6,32,1,27,0,14,32,0,1,17,0,9,32,0,3,0,14,0,78,17,0,28,16,17,0,13,0,26,20,32,0,10,0,139,27,16,6,32,1,34,32,0,8,11,2,32,1,25,32,0,1,17,0,27,16,0,12,32,0,17,17,0,13,0,26,20,32,0,10,0,140,27,16,6,0,73,0,14,32,0,3,17,0,10,0,53,0,27,27,16,33,0,20,48,0,34,0,53,32,0,13,0,34,0,53,32,0,18,0,54,0,34,27,0,32,20,27,16,27,0,55,0,28,27,16,33,0,21,48,6,32,0,21,0,10,32,0,20,17,0,8,16,33,0,22,48,6,32,1,16,0,35,16,0,0,0,66,17,0,14,32,0,1,17,33,0,23,48,6,32,1,18,0,35,16,0,14,32,0,1,17,0,2,0,67,17,0,0,32,1,28,0,35,16,0,0,0,67,17,0,14,32,0,1,17,17,0,34,32,0,23,0,8,16,32,1,38,16,17,33,0,24,48,6,0,65,33,0,25,48,6,32,0,24,0,13,16,0,26,16,33,0,26,48,6,1,20,33,0,27,48,6,32,0,18,0,10,32,0,20,17,33,0,28,48,0,34,32,0,13,17,0,32,16,0,43,0,34,26,33,0,13,50,6,32,0,3,0,13,16,0,26,16,0,34,0,53,32,0,13,27,0,55,0,28,0,53,0,13,27,27,16,33,0,29,48,6,0,61,0,14,32,0,3,17,0,10,34,0,28,17,0,34,32,0,13,17,0,21,0,66,17,0,0,0,53,0,50,0,0,26,27,16,0,32,16,0,43,0,34,26,0,8,0,32,0,54,0,43,0,34,26,27,21,0,34,0,53,0,32,27,0,18,21,32,0,13,0,21,0,61,17,17,0,25,0,61,17,0,50,0,0,26,16,0,32,16,33,0,30,48,6,32,1,16,0,35,16,0,0,0,67,17,0,67,11,2,32,1,25,32,0,1,17,0,2,32,0,11,17,0,34,32,0,30,17,33,0,31,48,0,50,0,0,26,16,33,0,32,48,0,32,16,33,0,33,48,6,32,0,33,0,43,0,34,26,33,0,30,50,6,32,0,33,0,43,0,34,26,33,0,32,50,6,32,0,33,0,43,0,34,26,33,0,31,50,6,32,0,30,0,43,0,34,26,33,0,1,50,6,32,0,30,0,43,0,34,26,33,0,17,50,6,32,0,30,0,43,0,34,26,33,0,5,50,6,32,0,30,0,43,0,34,26,33,0,6,50,6,32,0,11,0,34,32,0,30,17,0,43,0,1,26,32,0,31,17,33,0,11,49,0,50,0,0,26,16,0,32,16,33,0,13,49,6,32,0,17,0,10,0,53,0,27,27,16,0,34,32,0,13,17,0,32,16,0,43,0,34,26,33,0,13,50,6,32,0,30,0,34,32,0,13,17,33,0,34,48,6,32,0,20,0,1,32,0,21,17,0,34,32,0,34,17,0,12,0,31,0,52,0,1,27,0,11,21,0,65,17,0,43,0,3,26,0,67,17,0,0,0,66,17,33,0,35,48,6,32,1,16,0,35,16,0,0,0,68,17,0,14,32,0,1,17,0,34,32,0,13,17,0,31,16,33,0,36,48,6,0,65,0,12,32,0,31,17,33,0,37,48,6,0,65,0,11,34,0,31,17,0,31,16,33,0,38,48,6,34,0,11,0,34,32,0,13,17,0,12,32,0,13,0,54,0,31,27,0,11,20,0,52,0,22,27,0,11,21,0,65,17,0,45,0,21,26,32,0,37,0,31,16,32,0,38,11,2,17,33,0,39,48,6,32,0,20,0,34,32,0,34,17,0,32,16,33,0,40,48,0,43,0,34,26,33,0,13,50,6,32,0,30,0,34,32,0,13,17,33,0,34,49,6,32,0,13,0,32,16,33,0,41,48,6,32,1,14,0,35,16,0,14,32,0,1,17,33,0,42,48,6,32,1,14,0,35,16,0,0,0,66,17,0,14,32,0,1,17,33,0,43,48,6,32,1,27,0,14,32,0,1,17,33,0,44,48,6,32,0,44,0,10,32,0,43,17,0,10,32,0,42,17,0,11,32,0,37,0,50,0,10,26,16,17,0,13,0,26,20,32,0,10,0,141,27,16,6,32,0,43,0,10,32,0,37,17,33,0,45,48,0,50,0,0,26,16,33,0,46,48,6,0,19,32,1,40,0,51,0,8,27,32,0,45,21,33,0,47,48,6,32,0,42,32,0,47,16,33,0,48,48,0,10,34,0,44,32,0,47,16,17,33,0,49,48,6,32,0,43,0,31,32,0,45,17,33,0,50,48,0,8,16,0,21,0,66,17,33,0,51,48,6,32,0,50,0,27,0,54,0,10,27,16,0,21,0,65,17,33,0,52,48,6,32,0,49,0,25,0,9,32,0,50,21,0,11,0,25,0,53,0,1,27,21,0,66,17,32,0,45,0,31,20,32,0,10,0,142,27,16,6,32,0,49,0,25,0,61,17,0,12,32,0,50,17,0,9,0,53,0,28,27,16,32,0,45,0,31,20,32,0,10,0,143,27,16,6,34,0,43,0,31,16,0,21,32,0,38,17,0,34,34,0,50,0,27,16,0,32,16,0,32,16,17,33,0,53,48,6,32,0,42,0,10,32,0,45,17,0,34,0,53,32,0,13,0,29,16,27,0,55,32,1,38,0,54,0,43,0,34,26,27,27,34,0,42,17,33,0,54,48,0,31,16,33,0,55,48,6,32,0,1,0,34,32,0,55,17,0,36,0,1,0,18,0,51,0,13,27,21,32,1,33,17,33,0,56,48,0,14,0,65,17,33,0,57,48,6,32,0,56,0,14,0,53,0,67,27,0,9,32,0,57,0,28,0,66,17,21,0,10,0,16,0,53,0,28,27,21,16,0,11,32,0,57,17,32,0,55,32,0,10,0,144,27,16,6,32,0,56,0,28,16,0,31,34,0,57,17,33,0,58,48,6,34,0,56,0,14,0,65,17,0,43,0,31,26,33,0,55,50,6,32,0,55,0,43,0,34,26,32,0,30,17,32,0,3,0,54,0,34,27,0,2,32,0,22,0,54,0,34,27,21,16,33,0,59,48,6,32,0,59,0,14,0,61,17,33,0,60,48,0,27,0,0,0,28,0,53,0,66,27,21,16,33,0,61,48,0,14,0,67,17,33,0,62,48,6,32,0,54,0,34,32,0,55,0,31,32,0,60,17,0,0,0,66,17,17,32,0,55,0,31,32,0,60,21,32,0,10,0,145,27,16,6,32,0,59,0,15,0,67,17,33,0,63,48,0,11,32,0,62,17,0,19,0,9,0,71,0,14,32,0,59,17,21,0,27,20,0,10,0,28,21,16,33,0,64,48,6,34,0,63,0,10,32,0,60,17,0,9,32,0,64,17,0,10,0,71,0,14,32,0,59,17,0,9,32,0,58,17,17,32,0,55,32,0,10,0,146,27,16,6,34,0,61,0,14,0,66,17,0,9,32,0,59,0,14,0,65,17,17,0,11,32,0,64,17,33,0,65,48,0,10,32,0,64,17,0,8,16,33,0,66,48,6,32,0,60,0,31,32,0,66,17,0,14,0,53,0,28,0,53,0,66,27,27,16,32,0,55,0,31,32,0,66,21,32,0,10,0,147,27,16,6,32,0,21,0,34,32,0,30,17,0,8,16,0,2,32,0,1,17,0,34,32,0,55,17,33,0,67,48,0,32,32,0,8,0,21,32,1,28,17,0,50,0,0,26,16,17,0,43,0,1,26,0,66,17,0,7,0,71,17,33,0,68,48,6,32,0,68,0,13,0,66,17,0,9,32,0,59,0,14,0,65,17,17,0,9,32,0,62,17,33,0,69,48,0,12,32,0,66,17,33,0,70,48,6,32,0,69,0,0,33,0,59,50,6,32,0,69,0,12,33,0,62,50,6,32,0,59,0,5,0,67,17,0,43,0,1,26,0,66,17,0,2,0,71,17,0,2,32,0,70,17,0,0,32,0,59,0,14,0,71,17,0,27,16,0,0,0,70,17,0,2,32,0,64,17,17,0,0,32,0,60,0,27,16,0,0,0,66,17,0,2,32,0,65,17,0,0,34,0,69,17,17,33,0,71,48,6,32,1,28,0,35,16,0,0,32,0,71,17,0,13,34,0,67,17,0,9,32,0,68,0,14,0,65,17,17,32,0,55,32,0,10,0,148,27,16,6,32,0,59,0,14,0,65,17,0,9,32,0,62,17,0,10,32,0,60,17,0,8,16,0,2,33,0,68,50,6,32,0,60,0,12,33,0,66,50,6,32,0,66,0,43,0,31,26,33,0,59,50,6,32,0,65,0,31,32,0,60,0,28,0,66,17,17,33,0,72,48,6,34,0,64,0,2,32,0,58,17,0,28,0,54,0,1,27,16,0,1,33,0,58,50,6,32,0,58,0,2,16,0,11,32,0,66,17,32,0,55,32,0,10,0,144,27,16,6,0,65,0,21,32,0,72,17,0,34,0,53,0,50,0,0,26,27,32,0,60,17,0,12,32,0,65,17,32,0,55,32,0,10,0,149,27,16,6,0,67,0,13,32,0,68,17,0,12,34,0,70,17,32,0,55,32,0,10,0,150,27,16,6,32,0,66,0,43,0,31,26,33,0,58,50,6,32,0,59,0,14,0,66,17,0,10,33,0,72,50,6,32,0,58,0,2,16,0,11,32,0,72,17,32,0,55,0,31,32,0,66,21,32,0,10,0,151,27,16,6,32,0,68,0,13,0,65,17,33,0,73,48,0,0,0,66,17,0,2,34,0,65,17,0,6,32,0,62,17,0,28,16,0,31,32,0,60,17,33,0,74,48,6,32,0,58,0,14,0,67,17,33,0,75,48,0,9,32,0,74,0,14,0,65,17,17,32,0,55,32,0,10,0,152,27,16,6,32,0,51,0,27,0,11,0,19,21,0,66,17,0,11,32,0,49,0,28,16,17,0,27,0,54,0,1,27,16,0,0,0,66,17,0,31,0,53,32,0,48,27,0,55,34,0,75,0,2,0,67,17,0,6,34,0,74,17,27,16,33,0,76,48,6,34,0,66,0,43,0,31,26,33,0,62,50,6,32,0,54,0,34,0,53,32,0,55,27,0,55,32,0,73,0,8,16,27,16,33,0,77,48,6,32,0,55,0,31,32,0,73,17,0,43,0,34,26,32,0,41,17,33,0,78,48,6,32,0,68,0,31,32,0,73,17,0,14,0,67,17,33,0,79,48,6,32,1,28,0,35,16,0,1,32,0,1,17,0,34,0,53,34,0,55,27,0,55,0,1,0,53,32,0,71,27,0,2,34,0,68,0,11,0,65,17,21,0,0,0,19,21,27,16,0,32,0,65,0,71,0,68,0,74,11,4,17,33,0,80,48,6,32,1,28,0,35,16,0,0,0,71,17,0,14,32,0,1,17,0,9,0,71,0,14,32,0,3,17,0,34,32,0,30,17,17,0,0,33,0,80,50,6,34,0,80,0,54,0,14,27,32,1,40,0,51,0,8,27,34,0,37,21,0,34,32,0,51,0,50,0,0,26,0,61,17,21,33,0,81,48,6,32,1,28,32,1,25,32,0,1,17,0,11,32,0,77,17,0,31,16,33,0,82,48,6,0,66,32,0,81,16,33,0,83,48,6,0,71,34,0,81,0,52,0,19,0,2,0,67,21,0,6,0,18,21,27,0,67,17,33,0,84,48,0,0,0,53,0,11,0,53,0,65,27,0,10,32,0,83,21,27,16,33,0,85,48,6,32,0,83,0,31,32,0,48,17,0,11,32,0,72,17,0,11,32,0,62,17,0,10,32,0,85,0,31,32,0,48,17,0,11,32,0,59,17,17,32,0,45,0,51,0,31,27,0,21,0,65,21,0,31,32,0,48,21,32,0,10,0,153,27,16,6,32,0,85,0,31,0,53,32,0,48,27,0,55,34,0,59,27,16,33,0,85,49,0,43,0,1,26,0,66,17,0,6,33,0,84,50,6,32,0,83,0,31,0,53,32,0,48,27,0,55,0,6,0,53,34,0,72,27,27,16,33,0,83,49,6,32,0,85,0,35,16,0,11,0,65,17,32,0,1,0,51,1,21,27,0,31,20,32,0,10,0,154,27,16,6,32,0,83,0,12,32,0,52,17,0,11,34,0,49,0,31,0,53,32,0,48,27,0,55,34,0,62,0,8,16,27,16,0,10,0,53,0,28,27,16,17,0,25,0,66,17,32,0,45,0,31,20,32,0,10,0,155,27,16,6,32,0,83,0,2,0,71,17,0,0,0,65,0,67,0,71,11,3,0,34,32,0,84,17,17,33,0,86,48,6,32,0,83,0,31,32,0,48,17,0,8,16,0,2,0,71,17,0,34,34,0,60,0,50,0,0,26,16,0,28,16,17,0,1,33,0,71,50,6,32,0,3,0,34,0,53,32,0,30,0,34,32,0,38,17,27,0,55,34,0,85,0,31,32,0,51,17,0,25,0,66,17,27,16,0,2,32,0,22,17,0,43,0,1,26,32,0,20,17,33,0,3,49,6,32,0,22,0,9,34,0,23,17,33,0,87,48,6,0,65,0,11,32,0,3,17,0,43,0,21,26,0,66,17,0,34,32,0,29,17,33,0,88,48,0,28,16,0,9,32,0,87,17,33,0,89,48,6,32,0,3,0,34,32,0,89,0,8,16,32,1,38,16,17,0,2,32,0,89,17,0,0,32,0,3,17,0,19,0,15,0,67,21,0,11,32,0,88,21,0,1,0,19,21,0,6,0,19,0,14,0,71,21,0,2,34,0,88,0,0,0,66,17,21,0,43,0,21,26,0,65,21,0,34,34,0,29,21,21,16,33,0,90,48,6,32,0,90,0,34,0,0,0,6,0,66,21,0,5,0,19,21,34,0,89,0,8,16,0,50,0,0,26,16,0,54,0,19,0,1,0,34,21,27,21,0,65,0,14,32,0,90,17,0,9,32,0,87,17,0,8,16,32,1,38,16,17,0,6,33,0,90,50,6,32,0,90,0,28,16,0,2,34,0,87,17,0,0,33,0,3,50,6,32,0,24,0,14,0,66,17,0,9,32,0,90,0,13,0,65,17,17,0,10,33,0,25,50,0,8,16,0,2,33,0,24,50,6,32,0,24,0,1,32,0,24,0,14,0,65,17,0,2,32,0,90,17,17,33,0,90,49,6,0,61,0,14,32,0,3,17,0,28,0,66,17,0,9,0,78,0,14,32,0,3,17,17,0,1,33,0,3,50,6,0,65,0,14,32,0,3,17,0,28,16,0,12,0,70,0,14,32,0,3,17,17,32,0,30,0,51,0,32,27,32,0,10,0,156,27,16,6,34,0,18,0,19,0,1,0,8,0,54,0,2,27,21,33,0,3,50,6,32,1,34,0,1,32,0,1,17,33,0,91,48,6,34,0,39,0,48,1,22,26,16,6,32,0,13,0,43,0,34,26,33,0,1,50,6,34,0,54,0,34,32,0,13,17,33,0,92,48,6,32,0,34,0,43,0,34,26,33,0,3,50,6,32,0,34,0,43,0,34,26,33,0,90,50,6,34,0,20,0,12,34,0,21,17,0,34,32,0,34,17,0,31,16,0,21,34,0,40,0,32,16,0,34,32,0,36,17,17,33,0,36,49,6,32,0,3,0,72,0,54,0,15,27,0,9,0,11,0,53,0,79,27,21,16,33,0,93,48,6,0,65,0,11,32,0,3,17,0,11,32,0,93,17,33,0,94,48,6,32,0,94,0,28,16,32,1,38,16,0,43,0,34,26,32,0,90,17,33,0,95,48,0,15,0,66,17,33,0,96,48,6,32,0,90,0,1,16,0,6,0,65,17,33,0,97,48,6,32,0,95,0,1,16,0,6,0,65,17,33,0,98,48,6,32,0,13,33,0,26,49,6,32,0,34,0,43,0,34,26,33,0,25,50,6,32,0,93,0,2,32,0,98,17,32,0,27,0,157,26,16,6,32,1,27,0,14,32,0,1,17,0,2,32,0,98,17,32,0,27,0,158,26,16,6,0,67,0,16,32,0,3,17,0,9,0,67,0,11,32,0,95,17,17,33,0,99,48,0,11,32,0,92,17,0,31,16,0,29,16,33,0,100,48,6,0,71,0,14,32,0,3,17,33,0,101,48,0,9,32,0,99,17,0,27,16,0,10,32,0,99,17,33,0,102,48,6,0,67,0,26,16,0,38,32,0,3,17,0,10,32,0,102,17,0,16,32,0,101,17,0,2,0,67,17,0,6,32,0,97,17,0,28,0,2,34,0,101,21,0,6,0,27,21,0,67,17,0,2,32,0,99,17,32,0,27,0,159,26,16,6,32,1,26,0,14,32,0,1,17,33,0,103,48,6,32,1,16,0,35,16,0,0,0,67,17,32,1,14,0,35,16,0,0,0,66,17,11,2,0,38,32,0,1,17,33,0,104,48,6,32,1,16,0,35,16,0,0,0,70,17,0,14,32,0,1,17,33,0,105,48,32,1,38,0,52,0,11,27,32,0,104,17,0,9,32,0,103,17,33,0,106,48,6,0,65,0,14,32,0,3,17,0,11,0,53,0,10,0,53,0,28,27,27,32,0,102,17,0,27,0,54,0,9,27,16,32,0,13,32,0,10,0,160,27,16,6,32,1,15,0,35,16,0,0,0,67,17,0,14,32,0,1,17,33,0,107,48,6,0,66,0,16,34,0,90,17,0,27,16,0,9,32,0,107,17,0,11,32,0,96,17,33,0,108,48,6,32,0,94,0,28,0,66,17,0,9,33,0,107,50,6,32,0,107,0,11,32,0,108,17,32,0,13,32,0,10,0,161,27,16,6,32,0,108,0,10,32,0,102,17,0,8,16,0,29,0,55,32,1,37,0,1,0,18,21,0,53,0,13,0,51,0,26,27,27,27,16,33,0,109,48,6,32,0,93,0,31,16,33,0,110,48,0,0,0,53,32,0,109,0,54,0,34,27,27,16,0,0,0,66,17,33,0,111,48,6,32,0,3,0,34,32,0,110,17,0,13,0,78,17,33,0,112,48,6,32,0,3,0,34,32,0,111,17,33,0,113,48,6,32,0,95,0,34,32,0,111,17,0,6,0,65,17,0,13,32,0,113,17,0,9,32,0,112,17,32,0,13,0,34,32,0,111,21,32,0,10,0,162,27,16,6,32,0,1,0,34,32,0,110,17,0,43,0,1,26,32,1,15,0,35,16,17,0,0,32,0,108,0,34,32,0,110,17,17,0,0,34,0,113,0,15,0,65,17,17,0,0,32,0,112,17,33,0,114,48,6,32,0,78,0,21,33,0,111,50,6,32,0,1,0,45,0,65,26,16,0,34,0,53,32,0,111,27,0,55,32,0,78,0,45,0,74,26,16,0,21,32,0,114,17,27,16,0,1,0,53,0,27,27,16,33,0,115,48,6,32,0,115,0,34,32,0,41,17,0,2,0,53,0,50,0,0,26,0,14,0,65,21,0,10,0,53,0,28,0,53,0,66,27,27,20,27,16,0,50,0,0,26,16,0,28,16,33,0,115,49,0,34,32,0,13,17,33,0,116,48,0,2,16,33,0,117,48,6,32,0,97,0,14,0,67,17,0,9,32,0,117,17,33,0,118,48,0,9,32,1,18,0,35,16,0,14,32,0,1,17,17,0,31,16,33,0,119,48,6,32,0,106,0,10,32,0,105,17,0,28,16,0,10,34,0,22,0,8,16,0,34,34,0,34,17,17,0,2,32,0,97,17,0,2,32,0,118,0,8,16,17,34,0,27,0,163,26,16,6,32,0,115,0,14,0,74,17,33,0,120,48,0,2,0,71,17,0,1,33,0,115,50,6,32,0,97,0,14,0,66,17,0,2,32,0,117,17,0,6,33,0,25,50,6,32,1,15,0,35,16,0,43,0,1,26,32,1,34,17,0,14,32,0,91,17,0,11,32,0,115,17,32,0,47,16,33,0,121,48,6,32,0,25,0,34,32,0,41,17,34,0,47,16,33,0,122,48,6,32,0,30,0,34,32,0,53,17,0,21,0,65,17,0,43,0,1,26,0,66,17,1,23,16,6,32,0,122,33,0,123,48,6,32,0,51,32,1,39,0,52,0,16,27,33,0,122,50,6,0,65,0,14,32,0,76,17,0,9,32,0,122,17,0,25,0,66,17,32,0,45,0,31,20,32,0,10,0,165,0,155,11,2,0,56,0,11,0,53,34,0,123,0,25,0,66,17,27,0,48,0,10,26,20,27,27,16,6,32,0,122,0,2,0,67,17,0,6,33,0,76,50,6,32,0,83,0,2,33,0,76,50,6,32,0,76,0,14,0,67,17,0,34,32,0,46,17,0,34,32,0,13,17,33,0,124,48,6,32,0,124,0,14,0,1,0,18,21,33,0,97,50,6,34,0,124,0,14,0,1,0,18,21,33,0,98,50,6,32,1,34,0,1,32,0,1,17,32,0,8,0,54,0,11,27,0,9,0,15,0,53,0,80,27,21,16,33,0,125,48,6,32,1,34,0,0,32,0,8,17,0,16,32,0,1,17,0,9,34,0,120,0,34,32,0,13,17,17,33,0,126,48,0,31,16,33,0,127,48,6,32,1,16,32,1,25,0,11,0,35,0,0,0,71,21,0,54,0,14,27,21,32,0,1,17,0,10,32,1,17,0,35,16,0,14,32,0,1,17,0,27,16,0,12,32,0,94,17,17,0,10,34,0,126,17,0,10,34,0,125,17,0,11,0,65,0,16,32,0,3,17,0,9,32,0,117,17,0,27,16,0,11,32,0,94,17,0,11,32,0,92,17,17,33,0,128,48,6,32,0,117,0,11,34,0,118,0,10,34,0,128,17,0,10,32,0,93,17,17,32,0,13,32,0,10,0,166,27,16,6,32,0,117,0,34,32,0,110,17,0,11,0,67,0,14,34,0,114,17,0,9,34,0,116,0,34,32,0,110,17,0,13,0,68,17,17,17,32,0,13,0,34,32,0,110,21,32,0,10,0,167,27,16,6,32,0,117,0,12,0,53,0,28,27,16,0,9,32,0,3,0,15,0,65,17,17,0,9,32,0,95,0,11,0,65,17,17,0,11,32,0,92,17,32,0,13,32,0,10,0,168,27,16,6,32,0,117,0,34,32,0,110,17,33,0,129,48,0,12,33,0,112,50,6,32,0,110,0,31,34,0,129,17,33,0,130,48,6,32,0,112,0,43,0,31,26,33,0,110,50,6,32,0,78,0,45,0,66,26,16,0,21,34,0,112,17,0,43,0,31,26,33,0,111,50,6,34,0,17,0,28,16,33,0,131,48,0,31,16,33,0,132,48,6,32,0,91,32,0,8,0,54,0,11,27,0,9,0,15,0,53,0,65,27,21,16,0,11,34,0,93,0,9,32,0,117,17,0,27,16,0,34,32,0,41,17,0,10,34,0,131,17,0,10,34,0,77,17,17,0,31,16,33,0,133,48,6,32,0,115,0,34,32,0,82,17,33,0,134,48,0,11,0,65,17,33,0,135,48,6,0,67,0,67,11,2,32,1,25,34,0,115,0,34,32,0,133,17,33,0,136,48,17,33,0,137,48,6,0,70,0,11,34,0,134,17,0,9,32,0,135,17,32,0,82,32,0,10,0,169,27,16,6,32,0,46,0,34,32,0,133,17,33,0,138,48,6,32,0,91,0,34,32,0,133,17,33,0,139,48,6,32,0,7,0,13,16,0,11,32,0,139,17,0,9,32,0,138,0,14,0,65,17,17,0,9,32,0,137,17,33,0,140,48,6,32,0,7,0,34,32,0,139,0,31,32,0,140,17,17,33,0,141,48,0,14,0,65,17,32,0,133,0,31,32,0,140,21,32,0,10,0,170,27,16,6,32,0,137,0,31,0,53,34,0,140,27,0,55,34,0,141,0,15,0,65,17,27,16,33,0,137,49,6,0,65,0,15,32,0,7,17,0,31,16,33,0,142,48,0,45,0,65,26,16,33,0,143,48,6,32,0,139,0,31,32,0,137,17,33,0,144,48,0,21,32,0,142,17,0,40,32,0,86,0,13,16,0,21,32,0,138,0,31,32,0,137,17,33,0,145,48,17,0,21,32,0,143,17,33,0,146,48,17,33,0,147,48,6,32,0,33,0,34,34,0,53,17,0,43,0,1,26,0,66,17,0,21,32,0,1,0,13,16,17,0,34,32,0,145,17,0,21,34,0,33,0,31,34,0,45,17,0,21,0,61,17,0,34,34,0,138,17,0,0,32,0,136,0,14,0,66,17,17,17,33,0,148,48,6,32,0,148,0,32,16,0,34,0,53,32,0,144,0,21,32,0,139,17,33,0,149,48,0,54,0,34,27,0,32,20,27,16,33,0,150,48,6,32,0,150,0,31,0,53,0,15,0,53,32,0,137,0,13,16,27,27,16,1,24,16,6,32,0,150,0,34,34,0,144,0,45,0,61,26,16,0,21,32,0,137,17,0,34,32,0,150,17,0,50,0,0,26,16,33,0,151,48,0,32,16,17,0,31,0,53,32,0,137,0,13,16,0,54,0,11,27,27,16,33,0,150,49,6,32,0,150,0,43,0,34,26,33,0,137,50,6,32,0,150,0,43,0,34,26,33,0,133,50,6,32,0,150,0,43,0,34,26,33,0,136,50,6,34,0,151,0,11,0,65,17,0,10,0,53,0,28,27,16,0,8,16,0,48,0,0,26,16,33,0,152,48,6,34,0,139,0,34,32,0,150,0,24,32,0,152,17,17,33,0,153,48,6,32,0,7,0,13,16,0,16,32,0,153,17,32,0,133,0,24,32,0,152,21,32,0,10,32,0,153,0,54,0,31,27,0,39,20,32,1,30,0,171,21,27,16,6,32,0,136,0,11,0,65,17,33,0,154,48,0,9,0,71,0,11,34,0,136,17,17,33,0,155,48,6,34,0,32,0,34,32,0,133,17,0,34,0,53,32,0,137,32,1,38,16,0,25,32,0,152,17,27,0,21,34,0,7,0,6,0,65,17,0,1,16,33,0,156,48,0,34,32,0,153,17,21,0,1,0,19,21,16,33,0,157,48,6,32,0,157,0,11,0,65,17,0,9,32,0,155,17,32,0,133,32,0,10,0,172,27,16,6,34,0,155,32,1,40,0,25,0,66,21,0,16,0,31,21,32,0,137,17,33,0,158,48,0,34,34,0,150,0,31,32,0,137,17,0,32,16,33,0,159,48,17,0,21,34,0,143,17,0,40,34,0,146,17,33,0,160,48,6,34,0,145,0,21,34,0,156,17,0,37,0,0,32,0,86,0,54,0,34,27,21,16,0,19,0,25,0,53,0,13,27,34,0,142,21,0,34,0,53,0,32,27,34,0,159,21,0,34,32,0,137,0,25,34,0,152,17,0,50,0,0,26,0,61,17,21,0,21,0,34,0,53,34,0,153,27,21,16,33,0,161,48,6,32,0,157,0,11,0,65,17,32,1,40,0,11,34,0,158,0,21,0,66,17,21,0,34,0,53,0,50,0,0,26,27,0,18,21,32,0,137,17,0,9,32,0,137,0,27,0,66,17,0,11,32,0,154,17,17,33,0,162,48,6,32,0,91,0,34,32,0,82,17,0,0,0,71,17,0,0,32,0,83,0,2,0,71,17,0,34,32,0,46,0,34,32,0,82,17,33,0,163,48,17,17,33,0,164,48,6,34,0,163,0,2,0,74,17,0,0,32,0,164,17,0,29,0,55,0,38,27,16,0,21,33,0,162,50,6,0,66,0,1,32,0,78,17,0,43,0,34,26,32,0,13,17,0,0,0,66,17,32,0,132,32,0,82,0,21,32,0,133,17,11,3,0,31,0,71,0,67,0,71,11,3,17,0,21,16,33,0,165,48,6,34,0,135,0,21,34,0,154,17,0,12,0,2,0,67,21,0,0,0,19,21,34,0,162,17,0,0,0,81,17,33,0,166,48,6,32,0,78,0,45,0,81,26,16,32,0,78,0,45,0,65,26,16,34,0,71,0,31,34,0,73,17,32,0,132,0,45,0,82,26,16,34,0,91,0,34,34,0,132,17,34,0,166,34,0,82,0,45,0,65,26,16,0,21,34,0,157,17,34,0,164,0,21,34,0,161,17,11,8,33,0,167,48,6,32,0,102,0,8,16,0,50,0,0,26,16,32,1,37,0,1,0,19,21,32,0,94,17,0,7,0,10,0,12,21,0,67,17,0,9,32,0,96,17,33,0,168,48,6,34,0,99,0,28,16,0,10,0,66,0,14,32,0,3,17,17,33,0,169,48,0,11,32,0,117,0,11,32,0,94,17,0,10,0,53,0,27,27,16,0,10,32,0,102,17,0,10,34,0,168,17,0,10,32,0,92,17,33,0,170,48,17,0,31,16,33,0,171,48,6,34,0,169,0,10,34,0,170,17,0,12,32,0,96,17,32,0,13,32,0,10,0,173,27,16,6,0,65,0,14,32,0,3,17,0,11,32,0,102,17,0,10,0,65,0,16,32,0,3,17,0,9,34,0,96,17,17,0,8,16,0,2,0,67,17,0,6,34,0,97,17,0,27,0,67,17,0,34,32,0,171,17,33,0,172,48,0,13,0,67,17,33,0,173,48,6,32,1,26,0,11,32,0,1,17,0,11,34,0,92,17,0,31,16,33,0,174,48,0,43,0,34,26,32,0,1,17,33,0,175,48,0,9,16,0,39,16,33,0,176,48,0,28,0,1,0,19,21,0,61,17,0,31,16,0,34,34,0,175,17,33,0,177,48,6,34,0,8,0,0,32,1,34,17,33,0,178,48,0,16,32,0,1,17,0,31,16,33,0,179,48,0,21,34,0,174,17,33,0,180,48,6,32,0,1,0,34,34,0,179,17,0,0,32,0,176,0,13,16,0,43,0,1,26,34,0,178,17,17,0,21,33,0,177,50,6,34,0,41,0,34,34,0,38,17,33,0,181,48,6,0,65,0,21,32,0,106,17,0,50,0,0,26,16,0,31,0,66,0,21,32,0,105,17,17,0,25,0,66,17,0,28,0,54,0,1,27,16,0,0,34,0,94,0,27,0,66,17,0,31,34,0,105,17,0,8,16,17,0,43,0,21,26,34,0,35,17,33,0,182,48,6,0,79,0,14,32,0,3,17,0,28,16,0,10,34,0,106,17,0,10,32,0,98,0,14,0,67,17,17,0,12,34,0,103,17,0,31,16,0,21,34,0,78,0,31,0,53,0,8,27,32,0,79,17,17,33,0,183,48,6,34,0,104,0,31,16,33,0,184,48,6,32,1,27,0,14,32,0,1,17,0,31,16,33,0,185,48,6,32,0,173,0,0,32,0,171,17,0,0,0,53,32,0,109,0,54,0,34,27,0,2,32,0,173,21,27,16,33,0,186,48,6,32,0,186,0,31,34,0,98,0,34,32,0,171,17,33,0,187,48,0,14,0,67,17,33,0,188,48,0,2,32,0,173,0,0,0,66,17,17,17,0,21,33,0,183,50,6,32,0,188,0,8,16,33,0,188,49,6,32,0,188,0,43,0,31,26,33,0,171,50,6,32,0,188,0,43,0,31,26,33,0,186,50,6,34,0,79,0,1,16,0,21,34,0,107,0,0,32,0,108,17,0,0,32,0,1,17,0,34,34,0,110,17,0,43,0,1,26,32,1,15,0,35,16,0,0,0,66,17,17,0,6,0,65,17,17,0,0,0,83,17,33,0,189,48,6,32,0,180,32,0,180,32,0,181,32,0,181,32,0,127,32,0,119,32,0,36,0,31,0,67,17,32,0,111,32,0,183,32,0,185,0,66,0,0,32,0,130,17,0,66,0,0,32,0,130,17,34,0,109,0,34,32,0,100,17,0,6,0,66,17,0,0,32,0,100,17,34,0,186,32,0,184,11,15,0,21,16,0,43,0,34,26,32,0,13,17,0,21,34,0,165,17,33,0,190,48,0,32,16,33,0,191,48,6,34,0,180,0,45,0,65,26,16,34,0,177,32,0,181,0,45,0,66,26,16,34,0,181,0,13,16,0,26,16,0,0,0,66,17,34,0,127,0,45,0,84,26,16,34,0,119,0,45,0,85,26,16,34,0,182,0,22,34,0,117,0,34,34,0,36,17,0,0,0,62,17,17,0,30,16,0,20,16,34,0,189,34,0,183,0,45,0,74,26,16,34,0,185,0,45,0,86,26,16,32,0,130,0,45,0,87,26,16,34,0,1,0,34,0,66,0,1,34,0,130,17,17,0,43,0,1,26,32,1,34,17,34,0,3,0,34,32,0,100,17,0,0,0,88,17,34,0,95,0,34,32,0,171,17,0,11,0,65,17,0,2,0,70,17,0,0,34,0,172,0,14,0,66,17,0,6,34,0,187,17,0,2,0,67,17,0,0,34,0,173,17,0,31,34,0,188,17,17,0,0,0,89,17,32,0,121,0,0,0,90,17,33,0,192,48,0,25,0,61,17,11,15,0,21,34,0,167,17,0,21,16,0,34,32,0,191,17,33,0,193,48,6,0,19,0,43,0,34,26,32,0,13,21,0,21,0,13,0,54,0,43,0,25,0,53,0,1,27,26,27,21,33,0,194,48,6,34,0,111,0,43,0,1,26,0,66,17,34,0,100,32,0,171,11,3,0,21,16,32,0,194,32,0,5,0,13,16,0,43,0,1,26,0,66,17,0,5,34,0,190,17,0,29,0,53,0,13,0,51,0,1,27,27,32,0,184,17,17,33,0,195,48,6,32,0,5,32,0,6,11,2,0,45,0,34,0,53,0,29,0,53,32,0,184,0,13,16,27,0,34,32,0,191,21,0,43,0,21,26,0,61,21,27,26,32,0,195,34,0,108,0,10,34,0,102,17,0,8,16,0,28,16,32,1,38,16,0,34,34,0,171,17,34,0,194,34,0,195,17,11,2,17,33,0,196,48,6,32,0,48,0,31,0,53,34,0,48,27,0,55,32,0,58,27,16,33,0,58,49,0,11,0,65,17,0,10,32,0,76,0,13,0,66,17,0,9,32,0,83,17,17,0,10,33,0,52,50,6,32,0,52,0,31,16,33,0,197,48,0,43,0,34,26,34,0,76,17,33,0,198,48,0,14,0,66,17,0,0,0,66,17,33,0,199,48,0,31,16,33,0,200,48,6,34,0,198,0,11,0,66,17,0,0,34,0,58,0,34,32,0,197,17,0,2,0,67,17,17,0,5,0,70,17,33,0,201,48,6,32,0,51,0,34,32,0,197,17,33,0,202,48,0,50,0,0,26,0,61,17,33,0,203,48,6,32,0,201,0,0,34,0,199,17,0,34,0,53,0,33,0,51,0,34,0,53,32,0,203,0,54,0,34,27,0,32,20,0,31,34,0,202,21,27,27,27,16,0,6,32,0,83,0,31,32,0,52,0,9,32,0,51,17,17,0,8,16,0,1,0,67,17,17,33,0,204,48,6,32,0,197,0,34,32,0,200,17,0,40,32,0,204,0,50,0,0,26,16,0,21,0,65,17,0,25,0,34,34,0,203,21,0,0,34,0,201,21,0,34,0,0,0,18,0,51,0,37,27,21,34,0,200,21,0,43,0,21,26,0,24,21,0,61,17,17,0,40,0,53,0,31,27,34,0,204,17,33,0,197,49,6,34,0,84,0,31,32,0,51,17,34,0,83,0,8,16,0,31,32,0,51,17,32,0,51,0,31,16,0,31,0,53,34,0,52,0,31,34,0,51,17,27,0,55,34,0,197,27,16,11,3,33,0,205,48,6,34,0,184,0,13,0,52,0,1,27,32,0,193,17,0,16,34,0,191,17,0,21,0,66,17,0,31,16,32,0,147,0,45,0,13,26,16,0,0,34,0,86,17,34,0,147,34,0,160,11,4,33,0,206,48,6,34,0,192,0,35,0,61,17,0,21,34,0,193,17,34,0,176,34,0,205,34,0,206,34,0,196,11,5,7,11,0,0,45,0,174,0,51,0,41,27,26,11,0,0,65,0,26,16,11,4,33,0,3,48,6,34,0,2,0,13,0,11,0,70,21,0,58,0,23,27,16,0,42,34,0,3,26,0,25,0,13,21,0,54,0,21,27,16,33,0,4,33,0,5,33,0,6,33,0,7,12,4,48,6,34,0,1,32,1,41,34,0,5,32,0,6,11,2,17,33,0,8,48,33,0,9,33,0,10,33,0,11,33,0,12,33,0,13,12,5,48,6,34,0,9,32,1,43,34,0,10,32,0,11,0,35,16,34,0,12,34,0,13,34,0,6,0,45,0,65,26,16,0,28,34,0,7,17,11,5,17,33,0,14,33,0,15,33,0,16,33,0,17,33,0,18,12,5,48,6,34,0,14,34,0,11,0,25,0,66,17,0,21,34,0,4,0,34,34,0,15,17,11,1,17,0,21,16,34,0,16,0,12,16,0,30,16,0,44,0,11,26,16,34,0,17,0,12,16,0,30,16,0,44,0,11,26,16,34,0,18,34,0,8,11,6,7,34,0,1,34,0,2,16,7,32,0,1,0,34,0,53,32,0,2,0,31,34,0,1,17,27,0,55,0,45,0,66,26,27,16,32,1,13,34,0,2,0,43,0,34,26,16,17,7,34,0,1,0,31,16,0,35,16,0,116,11,2,0,41,16,7,34,0,1,0,21,0,65,17,0,34,0,53,0,50,0,0,26,27,32,1,31,17,0,9,32,1,32,17,0,31,16,0,117,11,2,0,41,16,7,32,1,26,0,31,34,0,1,17,0,118,11,2,0,41,16,7,32,1,26,0,31,34,0,1,17,0,119,11,2,0,41,16,7,34,0,2,0,31,34,0,1,17,0,43,0,34,26,32,1,26,17,0,120,11,2,0,41,16,7,32,0,2,0,43,0,31,26,33,1,26,50,6,32,0,2,0,43,0,31,26,33,1,25,50,6,34,0,1,0,31,34,0,2,17,7,0,48,0,10,26,0,58,34,0,1,0,23,34,0,2,0,54,0,31,27,21,0,41,20,27,7,0,65,0,29,0,54,0,46,0,14,26,27,0,49,1,25,26,0,19,0,51,0,45,0,65,26,27,21,0,35,0,61,21,11,2,0,56,0,13,0,11,0,65,21,0,52,0,9,27,27,33,0,3,48,6,1,26,33,0,4,48,6,0,65,32,0,4,0,130,27,0,43,0,66,34,0,4,0,131,27,26,11,2,0,56,0,13,0,52,0,12,27,27,33,0,5,48,6,34,0,1,34,0,5,0,132,11,2,0,56,0,13,0,52,0,5,27,0,11,34,0,3,21,27,34,0,2,19,0,41,16,7,0,14,0,58,0,48,0,10,26,27,0,58,34,0,1,0,23,34,0,2,0,54,0,31,27,0,43,0,66,0,57,0,34,27,26,0,42,32,1,6,26,0,22,32,1,5,21,21,0,30,0,51,0,9,27,20,21,0,41,20,27,7,32,1,15,0,21,0,65,17,0,31,32,0,1,17,0,13,32,2,16,0,35,16,0,0,0,70,17,17,32,1,13,0,21,0,65,21,0,31,34,0,1,21,32,1,10,0,137,27,16,7,34,0,1,0,6,33,1,25,50,0,14,0,67,17,32,1,26,32,1,10,34,0,4,27,16,7,32,2,28,32,2,25,34,0,1,17,0,9,32,1,46,0,14,0,65,17,17,7,32,1,5,0,34,0,53,32,0,1,27,0,55,32,1,5,0,34,32,0,2,17,27,16,33,1,5,49,6,32,1,6,0,34,0,53,34,0,2,27,0,55,32,1,6,0,34,34,0,1,17,27,16,33,1,6,49,7,32,1,24,0,34,32,0,1,17,0,2,0,53,0,8,27,32,1,121,17,0,6,33,1,122,50,0,14,0,67,17,32,1,30,0,51,0,32,27,0,34,34,0,1,21,32,1,10,0,164,27,16,7,32,1,148,0,34,0,53,32,0,1,27,0,13,0,53,0,28,27,20,0,52,0,10,27,32,1,149,17,0,8,16,32,1,133,0,31,0,53,32,1,137,27,0,54,0,21,27,20,0,34,34,0,1,21,32,1,10,0,170,27,16,7,32,0,1,0,28,16,0,0,34,0,2,19,0,50,0,6,26,16,0,6,34,0,1,17,7,0,37,0,14,0,18,0,51,0,13,27,21,0,43,0,31,26,0,19,21,0,0,34,0,2,21,0,43,0,34,26,32,3,8,21,0,21,0,109,21,0,21,34,0,1,21,0,21,0,129,21,7]
 ,[runtime[0],runtime[1],runtime[2],runtime[3],runtime[4],runtime[6],runtime[7],runtime[8],runtime[9],runtime[10],runtime[11],runtime[12],runtime[13],runtime[14],runtime[15],runtime[16],runtime[17],runtime[19],runtime[20],runtime[21],runtime[22],runtime[23],runtime[24],runtime[25],runtime[26],runtime[27],runtime[28],runtime[29],runtime[30],runtime[31],runtime[32],runtime[33],runtime[34],runtime[35],runtime[36],runtime[37],runtime[38],runtime[39],runtime[40],runtime[41],runtime[42],runtime[43],runtime[44],runtime[45],runtime[46],runtime[47],runtime[48],runtime[49],runtime[50],runtime[51],runtime[52],runtime[53],runtime[54],runtime[55],runtime[56],runtime[57],runtime[59],runtime[60],runtime[62],10,13,-1,11,26,9,0,1,2,5,8,4,3,-3,-2,6,17,Math.PI,Infinity,-4,-5,-6,32,64,48,43,44,42,66,24,16,7,'\0','0','#','\'','\"','@',str("⋄,"),str(":;?"),str("⇐←↩"),str("(){}⟨⟩"),str("‿"),str("·"),str("𝕊𝕏𝕎𝔽𝔾𝕤𝕩𝕨𝕣𝕗𝕘"),str(".¯π∞"),str("_"),str("aA"),str("•"),str("𝕨"),str(" "),str("#\'\"@"),str("s"),str("Unknown character"),str(": "),str("Character set conflict: "),str("˜⁼"),str("Unclosed quote"),str("Words can\'t only have underscores"),str("System dot with no name"),str("𝕣 can\'t be used with other word characters"),str("Numbers can\'t start with underscores"),str("Letter"),str(" \""),str("\" not allowed in numbers"),str("ea"),str("Negative sign in the middle of a number"),str("Portion of a number is empty"),str("Ill-formed decimal or exponent use"),str("π and ∞ must occur alone"),str("Missing "),str("opening"),str("closing"),str("Malformed bracket nesting"),str("Empty program"),str("Swapped open and closed brackets"),str("Parentheses can\'t contain separators"),str("Predicates can\'t be placed inside lists"),str("Empty statement or expression"),str("Invalid assignment or stranding use"),str("Can\'t use export statement as predicate"),str("Dot must be followed by a name"),str("Punctuation : ; ? not allowed outside blocks"),str("Header-less bodies must come last"),str("At most two header-less bodies allowed"),str("Invalid Undo header syntax"),str("Only one header per body allowed"),str("Missing operand in header"),str("Invalid header structure"),str("Incorrect special name"),str("Header left argument without right"),str("Header operation must be a plain name"),str("Header with ⁼ must take arguments"),str("Header with ˜⁼ must have left argument"),str("Block header type conflict"),str("Special name outside of any block"),str("Unreachable body"),str("Dot must be preceded by a subject"),str("Nothing (·) cannot be assigned"),str("Can\'t use Nothing (·) as predicate"),str("Missing operand"),str("Double subjects (missing ‿?)"),str("No right-hand side in non-modified assignment"),str("Role of the two sides in assignment must match"),str("Can\'t use Nothing (·) in lists"),str("Can\'t return Nothing (·)"),str("Invalid use of 𝕨 in monadic case"),str("Assignment target must be a name or list of targets"),str("Can\'t nest assignments (write aliases with ⇐)"),str("Can\'t use result of function/modifier assignment without parentheses"),str("Can\'t define special name"),str("Redefinition"),str("Undefined identifier"),str("Can\'t export from surrounding scope"),str("Second-level parts of a train must be functions"),str("System values not supported")]
 ,[[0,1,0],[0,0,1],[1,0,2],[1,1,3],[0,0,[[],[4]]],[0,0,[[],[5]]],[0,0,[[],[6]]],[0,0,[[],[7]]],[0,0,[[],[8]]],[0,0,[[],[9]]],[0,0,10],[0,0,11],[0,0,12],[0,0,13],[0,0,[[],[14]]],[0,0,[[],[15]]],[2,1,16],[0,0,17],[2,1,18],[0,0,19],[1,0,20],[0,0,21],[0,0,[[],[22]]],[0,0,23],[0,0,24],[0,0,25],[2,1,26]]
 ,[[0,0],[3,45],[613,5],[632,6],[803,57],[3009,23],[3834,207],[12362,19],[12600,3],[12608,3],[12648,3],[12665,3],[12704,3],[12721,3],[12738,3],[12764,3],[12800,3],[12826,6],[12958,3],[13020,3],[13070,5],[13096,3],[13118,3],[13176,3],[13229,3],[13291,3],[13316,3]]
);
let compgen = sys => {
  let gl = sys.glyphs, rt = sys.runtime;
  let comp = compgen_raw(list(gl));
  return sys.comps = sysargs => {
    let system = (x,w) => {
      let r = table(s=>sysvals[unstr(s)])(x);
      if (r.some(v=>!has(v))) {
        let m = x.filter((_,i)=>!has(r[i])).map(s=>"•"+unstr(s)).join(" ");
        throw Error("Unknown system values (see •listSys for available): "+m);
      }
      return table(v=>v.dynamic?v(sysargs):v)(r);
    }
    let rts = list([rt, system].concat(sysargs.addrt||[]));
    return src => {
      let s=str(src), c;
      try { c=comp(s,rts); } catch(e) { if (typeof e.message!=="string") e.message.src=s; throw e; }
      c.push(s); return c;
    }
  }
}
let sysargs = {runtime, glyphs:glyphs.map(str)};
let compile = compgen(sysargs)(sysargs);
let bqn = src => run(...compile(src));
runtime[43] = rtAssert;

// Formatter
let fmtnum = x => str(x==Infinity ? "∞" : x==-Infinity ? "¯∞"
                    : (""+x).replace(/-/g,"¯").replace(/\+/g,""));
let placeholder = ["array","function","1-modifier","2-modifier"].map(s => str("*"+s+"*"));
let repop = x => x.ns ? str("{"+listkeys(x).map(s=>s.join("")).join("‿")+"⇐}")
                      : gl[x.prim] || placeholder[type(x)-2];
let [fmt1,repr] = run(
  [1,1,7,34,0,1,33,0,3,33,0,4,33,0,5,33,0,6,12,4,48,6,0,68,0,15,0,18,0,18,21,0,41,0,69,27,11,2,0,44,0,10,0,41,0,59,27,27,32,0,6,11,2,0,44,0,59,0,42,0,8,27,27,33,0,7,48,6,1,2,33,0,8,48,6,0,11,0,8,0,51,21,0,46,1,3,27,33,0,9,48,6,1,4,33,0,10,48,6,1,5,33,0,11,48,6,1,6,1,7,11,2,0,44,1,8,0,50,11,2,0,44,0,10,0,42,0,10,0,41,0,50,27,0,40,0,7,27,27,27,27,33,0,12,48,6,0,78,0,19,0,77,17,1,9,1,10,11,2,0,44,0,10,0,11,0,47,21,0,7,0,11,0,10,0,51,21,21,27,11,2,0,44,0,14,0,14,0,47,0,47,11,2,21,27,33,0,13,48,6,1,11,33,0,14,48,6,1,12,33,0,15,48,6,1,13,1,14,1,15,11,3,0,44,0,31,0,59,26,0,8,0,17,21,0,39,0,36,0,0,26,0,12,0,0,0,8,0,41,0,47,27,21,0,10,21,27,27,33,0,16,48,6,32,0,7,0,19,20,34,0,16,32,0,15,11,2,0,44,0,35,32,0,3,26,0,12,0,56,21,0,17,0,39,0,36,0,7,26,27,20,27,32,0,15,11,3,0,44,0,13,0,3,0,51,21,27,33,0,17,48,6,1,16,33,0,18,48,6,0,86,33,0,19,48,6,0,16,0,39,0,29,27,32,0,5,20,32,0,19,11,2,0,44,0,51,0,42,0,11,27,27,32,0,18,32,0,17,0,39,34,0,19,0,28,11,2,0,44,0,10,0,11,0,50,21,27,27,27,0,29,0,50,21,0,19,20,33,0,20,48,6,0,16,0,16,34,0,17,20,34,0,20,11,2,0,44,0,15,0,12,0,56,21,27,32,0,3,21,33,0,21,48,6,1,17,33,0,22,48,6,0,70,0,16,0,15,0,18,0,16,0,27,0,11,0,0,0,50,21,21,21,0,18,0,15,21,0,67,21,0,34,32,0,7,0,18,0,79,21,26,0,18,20,0,22,0,50,21,0,34,32,0,22,0,18,0,87,21,26,0,18,20,0,24,0,72,21,0,18,0,71,21,11,3,0,44,0,35,32,0,3,26,0,32,0,28,26,0,51,0,17,0,57,17,0,25,0,51,0,50,0,47,11,3,17,21,0,36,0,4,26,20,27,11,2,0,44,0,10,0,8,0,47,21,27,33,0,23,48,6,0,29,0,39,32,0,22,27,0,18,0,88,21,32,0,23,0,17,34,0,23,0,40,0,18,0,41,0,89,0,42,0,18,27,27,27,0,14,21,11,3,0,44,0,11,0,3,0,51,21,27,33,0,24,48,6,34,0,7,34,0,24,11,2,0,44,32,0,3,0,11,0,47,21,27,33,0,25,48,6,0,31,0,47,26,0,30,0,90,21,34,0,18,34,0,22,27,0,29,0,50,21,33,0,26,48,6,0,16,0,16,34,0,25,20,34,0,26,11,2,0,44,0,15,0,12,0,56,21,27,32,0,3,21,33,0,27,48,6,32,0,21,0,39,0,33,0,58,0,0,0,59,17,0,42,0,18,27,26,27,0,17,20,0,22,0,48,21,32,0,27,11,2,7,0,50,0,34,0,21,26,34,0,1,0,1,16,17,0,26,0,43,0,38,0,32,0,35,0,2,26,26,26,27,16,0,36,0,48,0,49,11,2,0,45,0,0,27,26,34,0,2,19,0,17,16,0,29,0,41,0,48,27,0,43,0,47,27,16,7,32,0,1,0,14,16,0,22,0,48,17,33,0,3,48,0,4,0,50,17,32,1,8,16,33,0,4,48,6,1,18,33,0,5,48,6,32,0,1,0,17,34,0,1,0,14,16,0,21,0,48,17,0,18,34,0,3,0,36,0,2,26,16,17,17,0,21,0,41,0,36,0,0,26,27,34,0,5,11,2,0,44,0,16,0,39,0,10,27,0,8,0,47,21,27,34,0,4,17,7,32,0,1,0,17,16,0,34,0,31,0,60,26,0,17,0,14,0,29,0,48,21,0,42,0,19,27,21,0,18,0,16,21,26,34,0,1,0,14,16,32,1,8,0,50,17,17,0,18,16,7,0,60,0,17,32,0,1,0,10,16,34,0,2,11,2,17,33,0,3,48,6,32,0,3,34,0,1,34,0,3,11,3,0,19,16,0,18,16,7,0,72,0,18,34,0,1,0,28,16,0,22,0,50,17,0,22,0,48,17,17,0,18,0,71,17,0,19,16,7,32,0,1,0,14,16,0,29,0,48,17,33,0,3,48,6,0,73,32,0,2,0,16,0,3,0,50,21,0,32,0,28,26,0,74,21,0,17,20,32,1,6,11,2,0,44,0,8,0,41,0,52,27,27,16,11,2,0,18,16,0,21,32,0,3,17,0,19,16,34,0,1,0,29,0,43,0,75,0,29,0,50,0,1,34,0,2,17,0,3,0,53,17,0,4,0,47,17,17,27,16,0,76,0,21,0,41,0,1,27,34,0,3,17,0,19,16,11,3,0,18,16,7,34,0,1,0,28,16,0,35,0,11,26,0,70,17,0,37,0,1,26,16,0,38,0,0,26,16,0,11,0,51,17,0,36,0,7,26,16,7,34,0,1,0,34,0,60,26,16,32,1,11,0,50,17,32,1,12,0,51,17,0,29,0,41,0,47,0,48,11,2,27,0,43,0,61,27,16,7,34,0,1,0,14,16,0,70,0,34,32,1,6,26,0,34,0,18,0,41,0,79,27,26,20,0,18,20,0,29,0,43,0,62,27,20,11,2,0,44,0,10,0,8,0,50,21,27,16,0,19,16,7,32,0,1,0,34,0,14,26,16,33,0,3,48,6,32,0,3,0,34,0,29,26,0,50,17,0,17,0,31,0,50,26,0,1,0,11,21,0,46,0,37,0,4,26,27,11,2,0,44,0,11,0,8,0,47,21,27,16,33,0,4,48,6,34,0,3,0,34,0,29,26,16,0,11,0,8,0,47,21,0,46,0,50,0,45,0,37,0,4,26,27,27,16,33,0,5,48,6,34,0,1,0,34,0,21,26,0,50,0,21,32,0,4,0,10,16,0,2,32,0,2,19,0,1,16,17,0,6,34,0,4,17,0,2,34,0,2,19,0,35,0,19,26,32,0,5,17,17,0,11,0,1,0,51,21,0,4,0,47,21,0,46,0,19,27,16,0,51,0,45,0,18,0,39,0,8,27,27,16,33,0,6,48,6,34,0,6,32,1,10,0,9,0,39,32,1,9,27,11,2,0,44,34,0,5,0,17,16,0,13,0,41,0,26,0,41,0,50,27,27,16,27,16,32,1,11,0,51,17,7,32,0,1,0,34,32,1,21,26,16,32,1,14,0,50,0,15,34,0,2,19,17,32,1,12,34,0,1,0,11,16,17,7,32,0,1,0,11,16,33,0,3,48,6,0,80,0,16,0,43,32,0,1,27,16,0,22,0,47,17,33,0,1,49,6,32,0,1,0,14,16,0,22,0,48,17,33,0,4,48,0,10,16,0,1,16,0,11,0,41,0,47,27,0,46,0,49,27,16,33,0,5,48,6,32,0,3,0,8,0,47,17,0,32,0,29,26,0,81,17,33,0,6,48,6,1,19,33,0,7,48,6,32,0,1,0,27,0,41,0,16,0,11,32,0,6,21,0,0,0,50,21,27,34,0,7,11,2,0,44,32,0,3,0,10,0,50,17,27,16,33,0,1,49,6,32,0,6,0,21,0,41,0,1,27,32,0,4,17,32,0,5,0,45,0,18,27,34,0,1,17,34,0,5,0,45,0,18,27,0,65,0,21,32,0,4,0,18,0,50,17,0,29,0,48,17,17,0,17,34,0,4,17,0,29,0,43,34,0,6,27,16,17,0,19,16,32,0,3,0,10,0,50,17,0,46,32,1,9,32,1,11,0,50,21,32,1,12,34,0,3,21,27,16,7,34,0,1,32,1,15,32,1,13,11,2,0,44,0,14,0,11,0,47,21,0,36,0,7,26,20,27,16,7,34,0,1,32,1,15,0,48,17,7,0,16,0,16,34,0,4,20,0,20,0,47,21,34,0,0,11,2,0,44,0,15,0,12,0,56,21,27,32,1,3,21,33,0,6,48,6,32,0,1,32,1,4,16,33,0,7,48,0,29,16,33,0,8,48,6,0,66,0,1,0,82,17,0,29,32,0,8,17,33,0,9,48,6,0,84,0,42,0,18,27,0,18,0,83,21,33,0,10,48,6,0,16,0,34,34,0,6,0,42,0,29,0,41,0,50,27,0,15,0,12,32,0,9,0,3,0,51,17,21,0,46,0,16,0,39,34,0,10,27,27,0,29,0,42,0,0,27,21,27,26,0,10,0,39,0,23,27,0,11,0,47,21,0,1,20,0,50,0,9,32,0,9,17,0,46,0,26,27,20,21,0,18,20,33,0,11,48,6,32,0,7,0,22,0,50,17,0,31,34,0,1,26,32,1,5,0,39,0,17,27,20,0,16,34,0,5,34,0,2,23,34,0,11,11,3,0,44,34,0,8,0,5,16,0,3,0,51,17,27,16,33,0,12,48,6,32,0,12,32,0,9,0,12,0,51,17,0,46,0,31,34,0,7,26,0,29,0,48,21,32,1,3,20,0,9,0,56,21,0,46,0,85,0,42,0,18,27,27,27,16,33,0,12,49,6,34,0,9,34,0,12,11,2,7,34,0,1,32,1,27,16,7,34,0,1,0,18,0,41,0,28,0,39,0,34,0,60,26,27,27,16,0,28,34,0,2,0,0,0,50,19,0,18,0,47,19,0,27,18,0,2,0,41,0,8,0,41,0,25,27,27,18,19,7,0,55,0,0,0,59,17,0,8,32,0,1,17,0,2,0,59,0,1,0,64,17,17,0,0,0,54,0,0,0,59,17,0,16,0,1,0,63,21,0,2,0,11,21,32,0,1,17,17,0,0,34,0,1,17,7]
 ,[runtime[0],runtime[1],runtime[2],runtime[6],runtime[7],runtime[8],runtime[9],runtime[11],runtime[12],runtime[13],runtime[14],runtime[15],runtime[16],runtime[18],runtime[19],runtime[20],runtime[21],runtime[22],runtime[23],runtime[24],runtime[25],runtime[26],runtime[27],runtime[28],runtime[29],runtime[30],runtime[31],runtime[33],runtime[36],runtime[37],runtime[43],runtime[44],runtime[45],runtime[46],runtime[47],runtime[48],runtime[50],runtime[51],runtime[52],runtime[53],runtime[54],runtime[55],runtime[56],runtime[57],runtime[59],runtime[60],runtime[62],0,-1,Infinity,1,2,5,4,127,32,3,7,10,'\0',' ','┐','↕','␡','␀','·','0','\"',str("@"),str("\'"),str("⟨⟩"),str("⟨"),str("⟩"),str("┌"),str("·─"),str("·╵╎┆┊"),str("┘"),str("┌┐"),str("└┘"),str("‿"),str(""),str("\'\""),str("00321111"),str("("),str(")"),str("{𝔽}"),str("*array*"),str(","),str("<"),str("⥊"),str("Can\'t represent block")]
 ,[[0,1,0],[0,0,1],[0,0,2],[0,0,3],[0,0,4],[0,0,[[],[5]]],[0,0,6],[0,0,[[],[7]]],[0,0,8],[0,0,9],[0,0,10],[0,0,11],[0,0,12],[0,0,13],[0,0,14],[0,0,15],[2,0,16],[0,0,17],[0,0,18],[0,0,19]]
 ,[[0,0],[3,28],[745,3],[811,6],[911,3],[962,4],[1001,3],[1031,4],[1154,3],[1192,3],[1231,3],[1284,7],[1514,3],[1547,8],[1789,3],[1818,3],[1828,13],[2123,3],[2131,3],[2183,3]]
)(list([type, decompose, repop, fmtnum]));
let fmt = x => unstr(fmt1(x));

let fmtErr = e => {
  let r=e.kind, w=e.message, loc=[];
  while (w&&w.loc||(r!=='!'&&w.sh&&w.sh[0]===2)) {
    let s=w.src, is; [is,w]=w;
    let n=is.sh?is.sh[0]:0, i=n?is[0]:is;
    let pair=n&&is.sh.length>1; if (pair) n*=2;
    let to=i=>s.slice(0,i).join('').split('\n').map(l=>Array.from(l));
    let ll=to(i), l=ll.length-1, j=ll[l].length, m=to()[l];
    let k=1,o=i-j,cl=j; while (k<n&&(cl=is[k]-o)<m.length) k++;
    let ol=k<n; if (pair) { if (k%2) cl=m.length; else { cl=is[--k]-o+1; } }
    let c=Array(cl).fill(0); c[j]=1;
    for (let h=1;h<k;h++) c[is[h]-o+(pair?h%2:0)]=1;
    if (pair) for (let h=1;h<cl;h++) c[h]^=c[h-1];
    let add = ['',m.join(''),c.map(t=>t?'^':' ').join('')];
    loc = add.concat(ol?['(and other lines)']:[], loc);
  }
  if (r==='!') w=w?fmt(w).replace(/^/gm,'! '):'! Error';
  else w=w.sh?w.join(''):w;
  return [w].concat(loc).join('\n');
}

let dynsys = f => { f.dynamic=1; return f; }
let isstr = x => x.sh && x.sh.length==1 && x.every(c=>typeof c==="string");
let unixtime = (x,w) => Date.now()/1000;
let req1str = (e,x,w) => {
  if (!isstr(x)) throw Error(e+": 𝕩 must be a string");
  if (has(w)) throw Error(e+": 𝕨 not allowed");
  return unstr(x);
}
let dojs = (x,w) => {
  let s = req1str("•JS",x,w);
  let r = Function("'use strict'; return ("+s+")")();
  let toBQN = x => {
    if (isnum(x)) return x;
    if (typeof x==='string') { if (Array.from(x).length!==1) throw Error("•JS: JS strings are one character; use Array.from for BQN strings"); return x; }
    if (x instanceof Array) return arr(x.map(toBQN),x.sh||[x.length],toBQN(x.fill));
    if (isfunc(x)) { let f=(a,b)=>toBQN(x(a,b)); f.m=x.m; return f; }
    throw Error("•JS: Unrecognized JS result");
  }
  return toBQN(r);
}

let update_state = (st,w)=>w;  // Modified by Node version to handle •state
let push_state = st => st;
let copy_state = st_old => {
  let st={...st_old}; st.addrt=[]; push_state(st); return st;
}
let makebqn = (proc,fn) => st => (x,w) => {
  let src = proc(x,w,update_state,st);
  return fn(st.comps(st)(src));
}
let makebqnfn = (e,fn) => makebqn((x,w,u,s)=>req1str(e,x,u(s,w)), fn);
let dynsys_copy = fn => dynsys(st => (x,w) => fn(copy_state(st))(x,w));

let rebqn = dynsys_copy(state => (x,w) => {
  let req = (r,s) => { if (!r) throw Error("•ReBQN: "+s) };
  req(!has(w), "𝕨 not allowed");
  req(x.ns, "𝕩 must be a namespace");
  let rev = getrev(x.ns.names);
  let [repl,primitives] = ["repl","primitives"]
    .map(s=>(i=>has(i)?x[x.ns[i]]:i)(rev[s]));

  if (has(primitives)) { addprimitives(state, primitives); }
  let cmp = makebqnfn("•ReBQN evaluation", r=>r)(state);

  repl = has(repl) ? ["none","loose","strict"].indexOf(unstr(repl)) : 0;
  req(repl>=0, "invalid value for 𝕩.repl");
  return repl ? rerepl(repl,cmp,state) : ((x,w) => run(...cmp(x,w)));
});
let addprimitives = (state, p) => {
  let req = (r,s) => { if (!r) throw Error("•ReBQN 𝕩.primitives: "+s) };
  req(p.sh && p.sh.length===1, "Must be a list");
  req(p.every(e=>e.sh&&e.sh.length===1&&e.sh[0]===2), "Must consist of glyph-primitive pairs");
  let pr=glyphs.map(_=>[]), rt=pr.map(_=>[]);
  p.forEach(([gl,val])=>{
    req(typeof gl==="string", "Glyphs must be characters");
    req(isfunc(val), "Primitives must be operations");
    let k=val.m||0;
    pr[k].push(gl); rt[k].push(val);
  });
  state.glyphs = pr.map(str);
  state.runtime = list(rt.flat());
  compgen(state);
}
let rerepl = (repl, cmp, state) => {
  let rd = repl>1 ? 0 : -1;
  let vars = [], names = [], redef = [];
  state.addrt = [names,redef];
  return (x,w) => {
    names.sh=redef.sh=[names.length];
    let c = cmp(x,w);
    let pnames = c[5][2][0];
    let newv = c[3][0][2].slice(vars.length);
    names.push(...newv.map(i=>pnames[i]));
    redef.push(...newv.map(i=>rd));
    vars .push(...newv.map(i=>null));
    return run(...c, vars);
  }
}
let primitives = dynsys(state => {
  let gl=state.glyphs.flat(), rt=state.runtime;
  return list(gl.map((g,i) => list([g,rt[i]])));
});

let trig = "cos cosh sin sinh tan tanh".split(" ");
let mathns = obj2ns(Math,
  trig.concat(trig.map(n=>"a"+n),"LN10 LN2 LOG10E LOG2E cbrt expm1 hypot log10 log1p log2 round trunc atan2".split(" ")),
  f=>typeof f==="function"?(f.prim=null,runtime[61](f,0)):f
);
trig.map((_,i)=>{let f=mathns[i],g=mathns[i+trig.length]; f.inverse=g; g.inverse=f;});

let rand = (() => {
  let reqnat = (e,x) => {
    if (!isnum(x) || x<0 || x!=Math.floor(x)) throw Error("•rand."+e+" must be a natural number");
  };
  let randnat = n => Math.floor(n*Math.random());
  let range = (x,w) => {
    reqnat("Range: 𝕩", x);
    let r = x ? (()=>randnat(x)) : Math.random;
    if (!has(w)) return r();
    let n = 1;
    if (!w.sh) reqnat("Range: 𝕨", n=w);
    else {
      if (w.sh.length>1) throw Error("Range: array 𝕨 must have rank at most 1");
      w.map(m => {reqnat("Range: 𝕨 element", m); n*=m;});
    }
    return arr(Array(n).fill().map(r), w.sh?w:[n], 0);
  };
  let iota = x => Array(x).fill().map((_,i)=>i);
  let deal_err = e => (x,w) => {
    reqnat(e+": 𝕩", x);
    if (!has(w)) w=x; else {
      reqnat(e+": 𝕨", w); if (w>x) throw Error("•rand."+e+": 𝕨 must be less than or equal to 𝕩");
    }
    let r = iota(x);
    for (let i=0; i<w; i++) {
      let j = i + randnat(x-i);
      let t=r[i]; r[i]=r[j]; r[j]=t;
    }
    r.length = w; return list(r);
  };
  let deal = deal_err("Deal");
  let subset = (x,w) => {
    reqnat("Subset: 𝕩", x);
    if (!has(w)) return list(iota(x).filter(_=>Math.random()<0.5));
    return deal_err("Subset")(x,w).sort();
  };
  return makens(["range", "deal", "subset"], [range, deal, subset]);
})();

let sysvals = {
  bqn:dynsys_copy(makebqnfn("•BQN",r=>run(...r))), rebqn, primitives,
  type, glyph, decompose, fmt:fmt1, repr, unixtime, listkeys,
  js:dojs, math:mathns, rand,
  listsys: dynsys(_ => list(Object.keys(sysvals).sort().map(str)))
};

let make_timed = tfn => {
  let timed = f => (x,w) => {
    let n=has(w)?w:1;
    if (!isnum(n) || n!==Math.floor(n) || n<1) throw Error("•_timed: 𝕨 must be an integer above 1");
    return tfn(() => { for (let i=0;i<n;i++) f(x); })/n;
  }
  timed.m=1;
  return timed;
}
if (typeof process!=='undefined') {
  let sec = t => t[0]+t[1]/1e9;
  sysvals.monotime = (x,w) => sec(process.hrtime());
  sysvals.timed = make_timed(f => {
    let t0=process.hrtime(); f(); return sec(process.hrtime(t0));
  });
} else if (typeof performance!=='undefined') {
  sysvals.monotime = (x,w) => performance.now()/1000;
  sysvals.timed = make_timed(f => {
    let t0=performance.now(); f(); return (performance.now()-t0)/1000;
  });
}

if (typeof module!=='undefined') {  // Node.js
  bqn.fmt=fmt; bqn.fmtErr=fmtErr; bqn.compile=compile; bqn.run=run;
  bqn.sysargs=sysargs; bqn.sysvals=sysvals;
  bqn.makebqn=fn=>makebqn(fn,r=>run(...r));
  bqn.makerepl=(st,repl)=>rerepl(repl, makebqn(x=>x,r=>r)(st), st);
  bqn.util={has,list,str,unstr,dynsys,req1str,makens};
  bqn.setexec = (u,p) => { update_state=u; push_state=p; }
  module.exports=bqn;
}