Don't use ˜⁼ in the runtime because PrimInd might not work on internal ˜

2 files changed, 16 insertions, 15 deletions

diff --git a/docs/bqn.js b/docs/bqn.js
index 1ba4167f..ea6ffd8d 100755
--- a/docs/bqn.js
+++ b/docs/bqn.js
@@ -242,9 +242,9 @@ let provide = [
 ];
 
 let [runtime,setPrims] = run(
-  [0,80,22,0,0,11,14,15,1,22,0,1,11,14,15,2,22,0,2,11,14,15,3,22,0,3,11,14,15,4,22,0,4,11,14,15,5,22,0,5,11,14,15,6,0,21,15,7,8,22,0,6,11,14,15,8,22,0,7,11,14,15,9,22,0,8,11,14,15,10,22,0,9,11,14,15,11,22,0,10,11,14,15,12,22,0,11,11,14,15,13,22,0,12,11,14,15,14,22,0,13,11,14,0,0,0,12,0,22,19,22,0,14,11,14,0,22,0,12,21,0,11,0,11,8,3,2,21,0,4,0,0,0,12,0,23,19,8,22,0,15,11,14,0,22,0,12,21,0,11,0,11,8,0,8,0,13,21,0,11,0,22,8,19,3,2,21,0,4,0,0,0,12,0,23,19,8,22,0,16,11,14,15,15,0,15,3,2,21,0,4,21,0,14,8,22,0,17,11,14,15,16,0,21,15,17,8,22,0,18,11,14,15,18,22,0,19,11,14,21,0,14,0,7,0,23,19,21,0,13,21,0,19,8,22,0,20,11,14,21,0,8,0,13,7,22,0,21,11,14,21,0,21,0,7,0,23,19,0,21,21,0,19,8,22,0,22,11,14,0,13,0,7,0,23,19,22,0,23,11,14,15,19,0,16,21,0,23,19,0,21,0,11,8,22,0,24,11,14,15,20,0,16,21,0,22,19,0,21,0,7,21,0,9,21,0,24,21,0,9,0,7,8,8,8,22,0,25,11,14,0,7,21,0,5,3,2,21,0,4,0,13,21,0,11,0,22,8,8,22,0,26,11,14,0,23,0,14,0,16,0,22,19,3,2,21,0,4,0,12,21,0,22,0,22,19,8,22,0,27,11,14,15,21,22,0,28,11,14,31,0,28,22,0,29,11,14,15,22,22,0,30,11,14,15,23,22,0,31,11,14,15,24,0,12,0,34,21,0,30,21,0,0,7,16,19,22,0,32,11,14,0,14,21,0,12,15,25,8,22,0,33,11,14,15,26,22,0,34,11,14,21,0,5,0,20,15,27,15,28,3,2,21,0,4,21,0,5,21,0,9,0,12,8,0,12,0,23,19,8,8,22,0,35,11,14,21,0,35,22,0,36,11,14,15,29,22,0,37,11,14,15,30,22,0,38,11,14,0,13,0,7,21,0,21,19,22,0,39,11,14,0,23,0,15,0,16,0,22,19,21,0,12,0,13,0,8,0,24,19,0,7,0,23,19,15,31,3,2,21,0,4,21,0,5,21,0,9,21,0,14,8,8,8,3,2,21,0,4,21,0,5,21,0,9,0,14,8,21,0,29,0,8,7,0,23,19,21,0,22,0,22,19,8,22,0,40,11,14,21,0,39,21,0,40,21,0,8,21,0,40,7,0,7,9,3,2,21,0,4,21,0,6,21,0,9,21,0,14,8,8,15,32,3,3,21,0,4,21,0,14,21,0,10,0,6,8,8,22,0,41,11,14,15,33,22,0,42,11,14,15,34,22,0,43,11,14,21,0,20,21,0,5,0,20,15,35,8,3,2,21,0,4,0,12,21,0,22,0,22,19,8,22,0,44,11,14,15,36,21,0,13,21,0,5,0,20,15,37,8,8,22,0,45,11,14,15,38,22,0,46,11,14,15,39,22,0,47,11,14,15,40,22,0,48,11,14,15,41,22,0,49,11,14,15,42,22,0,50,11,14,15,43,22,0,51,11,14,15,44,22,0,52,11,14,21,0,17,0,1,0,16,21,0,11,0,22,8,3,2,21,0,4,21,0,27,21,0,22,0,22,19,8,9,22,0,53,11,14,15,45,22,0,54,11,14,15,46,22,0,55,11,14,15,47,22,0,56,11,14,15,48,22,0,57,11,14,0,22,0,12,21,0,11,21,0,7,21,0,57,7,8,3,2,21,0,4,0,0,0,12,0,26,19,8,22,0,58,11,14,15,49,22,0,59,11,14,21,0,5,21,0,5,21,0,5,21,0,29,15,50,7,9,15,51,15,52,15,53,3,6,21,0,4,21,0,6,8,22,0,60,11,14,15,54,22,0,61,11,14,21,0,14,21,0,10,0,12,8,0,22,3,2,21,0,5,21,0,9,21,0,14,8,0,12,3,2,0,12,21,0,10,0,12,8,0,22,3,2,0,14,21,0,10,21,0,56,0,12,7,8,21,0,29,0,8,7,0,23,19,0,22,3,2,15,55,3,5,21,0,29,15,56,7,16,22,0,62,11,14,0,22,15,57,3,2,21,0,4,21,0,14,8,22,0,63,11,14,21,0,62,0,21,21,0,63,8,22,0,64,11,14,21,0,62,0,7,0,23,19,0,21,3,0,0,14,3,2,21,0,4,21,0,14,8,8,22,0,65,11,14,21,0,64,21,0,9,0,5,8,21,0,6,21,0,5,19,22,0,66,11,14,0,15,21,0,9,0,1,0,20,21,0,5,8,21,0,29,21,0,66,0,20,21,0,5,8,7,3,2,21,0,4,21,0,27,21,0,22,0,22,19,8,8,22,0,67,11,14,15,58,22,0,68,11,14,21,0,14,21,0,13,21,0,34,21,0,68,15,59,8,8,22,0,69,11,14,15,60,22,0,70,11,14,15,61,22,0,71,11,14,21,0,14,0,5,0,103,19,21,0,6,15,62,31,0,68,21,0,69,21,0,71,31,0,70,3,2,21,0,4,0,18,0,12,0,12,0,23,19,7,21,0,29,0,8,7,0,23,19,8,31,0,71,3,3,21,0,4,0,12,21,0,24,0,24,19,8,8,19,22,0,72,11,14,15,63,22,0,73,11,14,21,0,73,0,108,21,0,26,21,0,12,0,12,8,0,7,0,23,19,15,64,3,3,7,22,0,74,11,14,31,0,73,0,109,0,12,21,0,11,0,22,8,0,7,0,23,19,15,65,3,3,7,22,0,75,11,14,15,66,22,0,76,11,14,15,67,22,0,77,11,14,15,68,22,0,78,11,14,15,69,22,0,79,11,14,15,70,22,0,80,11,14,15,71,22,0,81,11,14,15,72,22,0,82,11,14,21,0,38,0,9,7,22,0,83,11,14,21,0,38,0,10,7,22,0,84,11,14,21,0,8,21,0,83,21,0,12,21,0,84,8,7,0,21,0,24,21,0,83,16,21,0,12,21,0,84,8,8,22,0,85,11,14,21,0,38,15,73,0,21,21,0,26,8,7,22,0,86,11,14,21,0,38,15,74,0,21,21,0,24,8,7,22,0,87,11,14,21,0,38,15,75,0,21,0,7,21,0,9,21,0,87,21,0,9,0,7,8,8,8,7,22,0,88,11,14,21,0,38,0,8,7,0,21,21,0,50,0,22,7,8,22,0,89,11,14,21,0,38,0,8,0,7,0,6,19,7,0,21,31,0,50,0,23,7,8,22,0,90,11,14,21,0,38,0,8,0,21,21,0,23,0,7,21,0,22,19,21,0,11,0,22,8,8,7,22,0,91,11,14,21,0,38,21,0,21,0,7,0,23,19,7,0,21,31,0,19,8,22,0,92,11,14,21,0,38,0,13,0,7,0,23,19,7,0,21,31,0,69,8,22,0,93,11,14,21,0,38,0,12,0,7,0,23,19,7,0,21,21,0,27,8,22,0,94,11,14,21,0,38,0,12,7,0,21,0,12,8,22,0,95,11,14,21,0,38,21,0,21,7,0,21,21,0,7,0,22,7,0,5,0,121,19,8,22,0,96,11,14,21,0,38,0,13,7,0,21,21,0,7,0,22,7,0,5,0,122,19,8,22,0,97,11,14,21,0,38,0,6,7,22,0,98,11,14,21,0,38,0,7,7,22,0,99,11,14,21,0,99,21,0,98,0,23,19,22,0,100,11,14,21,0,6,21,0,95,21,0,95,21,0,94,21,0,64,21,0,65,3,4,19,21,0,29,21,0,98,7,9,21,0,13,15,76,8,22,0,101,11,14,0,29,0,17,16,21,0,31,0,123,8,22,0,102,11,14,15,77,22,0,103,11,14,0,15,0,21,21,0,17,8,22,0,104,11,14,15,78,22,0,105,11,14,15,79,22,0,106,11,14,15,80,22,0,107,11,14,15,81,22,0,108,11,14,15,82,22,0,109,11,14,15,83,22,0,110,11,14,31,0,110,22,0,111,11,14,21,0,66,0,20,21,0,104,21,0,10,21,0,34,8,15,84,3,2,21,0,4,21,0,95,21,0,92,0,23,19,21,0,10,21,0,90,8,8,8,22,0,112,11,14,21,0,36,21,0,11,21,0,43,8,22,0,113,11,14,21,0,5,0,20,21,0,94,21,0,95,0,22,19,21,0,99,0,23,19,21,0,82,15,85,15,86,3,2,21,0,4,21,0,6,21,0,9,21,0,95,8,21,0,92,0,22,19,8,8,8,22,0,114,11,14,31,0,74,0,21,31,0,48,8,22,0,115,11,14,21,0,75,0,21,31,0,49,8,22,0,116,11,14,31,0,80,0,21,31,0,105,8,22,0,117,11,14,0,22,21,0,82,31,0,47,8,0,21,21,0,46,8,22,0,118,11,14,31,0,114,0,21,21,0,43,8,22,0,119,11,14,21,0,66,0,21,21,0,5,8,0,20,21,0,77,0,21,31,0,77,21,0,11,21,0,79,8,8,8,22,0,120,11,14,21,0,66,0,21,21,0,5,8,0,20,21,0,78,0,21,31,0,78,21,0,11,31,0,79,8,8,8,22,0,121,11,14,15,87,22,0,122,11,14,15,88,22,0,123,11,14,15,89,22,0,124,11,14,15,90,22,0,125,11,14,31,0,125,15,91,3,2,21,0,4,21,0,6,21,0,9,21,0,104,21,0,9,0,18,21,0,14,7,8,8,21,0,29,21,0,90,7,0,22,19,8,22,0,126,11,14,21,0,126,21,0,11,21,0,104,21,0,5,3,2,21,0,4,21,0,14,8,8,22,0,127,11,14,15,92,22,0,128,11,14,15,93,22,0,129,11,14,15,94,22,0,130,11,14,15,95,22,0,131,11,14,31,0,108,22,0,132,11,14,21,0,109,22,0,133,11,14,21,0,131,21,0,41,7,0,21,0,22,21,0,42,21,0,41,8,8,22,0,134,11,14,31,0,131,21,0,8,21,0,41,7,7,0,21,0,23,21,0,42,21,0,8,21,0,41,7,8,8,22,0,135,11,14,15,96,22,0,136,11,14,0,4,21,0,11,21,0,56,0,23,7,8,22,0,137,11,14,15,97,22,0,138,11,14,21,0,138,21,0,5,21,0,9,0,19,21,0,98,7,8,21,0,8,21,0,99,7,0,23,19,21,0,8,21,0,36,7,21,0,8,21,0,119,21,0,9,21,0,134,21,0,9,21,0,137,8,8,7,19,7,22,0,139,11,14,21,0,20,21,0,10,15,98,8,22,0,140,11,14,31,0,66,0,21,21,0,5,8,0,20,21,0,18,21,0,9,21,0,93,8,8,22,0,141,11,14,31,0,112,0,21,21,0,72,8,22,0,142,11,14,31,0,124,0,21,31,0,123,8,22,0,143,11,14,21,0,136,0,23,7,0,21,31,0,139,8,22,0,144,11,14,21,0,8,31,0,136,0,22,7,7,0,21,31,0,138,21,0,5,7,8,22,0,145,11,14,15,99,22,0,146,11,14,21,0,5,0,20,15,100,8,22,0,147,11,14,15,101,22,0,148,11,14,15,102,22,0,149,11,14,31,0,148,0,21,31,0,44,8,22,0,150,11,14,21,0,134,21,0,9,21,0,134,8,21,0,36,21,0,99,21,0,5,19,21,0,8,21,0,144,7,19,0,1,0,22,19,22,0,151,11,14,15,103,0,1,0,22,19,22,0,152,11,14,21,0,5,0,20,0,23,31,0,82,31,0,52,8,21,0,11,21,0,20,8,0,21,31,0,51,8,8,22,0,153,11,14,21,0,127,0,21,31,0,53,8,22,0,154,11,14,15,104,22,0,155,11,14,15,105,22,0,156,11,14,15,106,22,0,157,11,14,31,0,157,22,0,158,11,14,21,0,103,0,21,21,0,17,8,22,0,159,11,14,31,0,59,22,0,160,11,14,31,0,152,0,21,21,0,151,8,22,0,161,11,14,31,0,140,0,21,21,0,119,21,0,11,21,0,145,8,8,22,0,162,11,14,15,107,22,0,163,11,14,0,35,0,22,0,36,0,22,0,37,0,23,0,38,0,23,0,39,0,23,0,40,0,23,0,41,0,32,0,42,0,30,0,43,0,22,0,44,0,23,0,45,0,22,0,46,0,23,0,47,0,22,0,48,0,23,3,28,21,0,163,21,0,7,0,22,7,0,5,0,164,19,8,15,108,9,22,0,164,11,14,0,5,21,0,11,0,165,8,22,0,165,11,14,0,5,21,0,11,0,166,8,22,0,166,11,14,21,0,7,0,22,7,0,5,0,167,19,22,0,167,11,14,15,109,22,0,168,11,14,15,110,22,0,169,11,14,15,111,22,0,170,11,14,0,35,21,0,8,21,0,99,7,0,21,21,0,98,8,0,36,21,0,99,0,37,21,0,8,21,0,83,7,0,21,21,0,5,8,0,38,21,0,83,0,39,21,0,38,0,2,7,0,49,21,0,8,21,0,84,7,0,21,21,0,8,21,0,91,7,8,0,44,21,0,8,21,0,83,7,0,21,21,0,89,21,0,168,21,0,5,8,8,0,43,21,0,6,21,0,99,0,23,19,21,0,83,21,0,8,21,0,99,7,19,0,21,21,0,90,21,0,168,21,0,5,8,8,0,40,21,0,100,0,50,0,22,21,0,9,21,0,165,8,0,21,15,112,8,0,51,21,0,5,0,52,21,0,64,21,0,9,21,0,166,8,21,0,6,21,0,5,19,0,21,21,0,5,8,0,34,15,113,0,21,0,22,21,0,9,21,0,165,8,8,0,53,15,114,0,21,15,115,8,0,54,0,22,21,0,9,21,0,165,8,0,21,21,0,115,21,0,168,21,0,154,21,0,11,0,28,8,8,8,0,55,0,22,21,0,9,21,0,165,8,0,21,21,0,116,21,0,168,21,0,154,8,8,0,56,0,22,21,0,9,21,0,165,8,0,21,21,0,117,21,0,168,21,0,65,8,8,0,57,21,0,118,21,0,11,21,0,99,8,0,21,21,0,118,8,0,58,31,0,149,0,21,31,0,45,8,0,59,0,22,21,0,9,21,0,165,8,0,21,15,116,8,0,60,31,0,170,0,21,31,0,169,8,3,42,21,0,163,21,0,167,8,22,0,171,11,14,15,117,22,0,172,11,14,15,118,22,0,173,11,14,15,119,21,0,10,15,120,8,22,0,174,11,14,15,121,0,61,0,35,21,0,8,21,0,99,7,0,21,0,24,21,0,12,21,0,83,8,8,0,36,21,0,98,0,21,0,22,21,0,9,21,0,165,8,8,0,37,21,0,8,21,0,83,7,0,21,21,0,85,8,0,38,21,0,91,0,21,0,22,21,0,9,21,0,165,8,8,0,39,21,0,85,0,21,0,22,21,0,9,21,0,165,8,8,0,49,0,2,21,0,83,9,0,21,0,22,21,0,9,21,0,165,8,8,0,44,21,0,8,21,0,83,7,0,21,21,0,85,8,0,43,21,0,6,21,0,99,0,23,19,21,0,83,21,0,8,21,0,99,7,19,0,21,21,0,100,21,0,9,21,0,85,8,21,0,100,9,8,0,40,21,0,7,0,23,7,21,0,99,21,0,98,19,0,21,0,22,21,0,9,21,0,165,8,8,3,18,21,0,163,21,0,167,8,0,62,15,122,0,63,15,123,0,64,15,124,0,65,15,125,21,0,9,15,126,8,3,10,21,0,163,21,0,7,21,0,167,7,8,7,22,0,175,11,14,0,23,15,127,21,0,153,0,22,0,28,3,2,19,21,0,64,0,31,21,0,7,3,2,19,3,2,21,0,155,0,0,21,0,97,0,26,19,8,22,0,176,11,14,15,128,15,129,0,66,21,0,174,0,67,15,130,0,68,15,131,0,69,21,0,7,0,22,21,0,9,21,0,165,8,7,15,132,15,133,3,2,21,0,155,21,0,97,21,0,11,0,22,8,8,3,2,21,0,155,21,0,5,21,0,9,21,0,15,8,8,0,70,15,134,0,71,15,135,15,136,21,0,5,3,2,21,0,155,21,0,6,8,21,0,6,21,0,9,21,0,176,8,19,0,72,15,137,3,14,31,0,163,21,0,7,21,0,167,7,8,7,7,22,0,177,11,14,15,138,22,0,178,11,14,15,139,21,0,116,21,0,11,0,23,8,21,0,5,21,0,154,21,0,9,31,0,171,8,9,21,0,7,21,0,7,0,22,7,0,5,0,168,19,7,21,0,5,21,0,29,31,0,174,7,9,31,0,178,31,0,175,31,0,177,3,6,21,0,155,21,0,6,8,21,0,154,19,9,22,0,179,11,14,15,140,31,0,179,21,0,7,0,22,7,0,5,0,169,19,3,3,21,0,119,0,26,0,23,0,24,3,3,17,21,0,155,0,0,8,22,0,180,11,14,15,141,22,0,181,11,14,0,51,0,52,0,61,0,66,0,67,0,71,0,72,0,70,0,73,3,9,0,46,0,45,0,74,3,3,0,50,0,53,0,56,0,59,0,75,0,76,0,60,3,5,0,77,0,54,0,55,0,57,0,58,0,78,0,79,3,7,3,6,21,0,56,21,0,159,7,16,15,142,16,22,0,182,11,14,21,0,98,21,0,99,21,0,91,21,0,83,31,0,84,31,0,85,21,0,87,21,0,88,21,0,86,21,0,100,21,0,89,21,0,90,21,0,92,21,0,93,21,0,94,21,0,95,21,0,97,21,0,96,21,0,64,21,0,65,21,0,6,21,0,5,31,0,159,21,0,142,21,0,141,21,0,115,21,0,116,21,0,117,31,0,121,21,0,120,21,0,118,31,0,150,21,0,119,21,0,134,21,0,135,21,0,153,21,0,154,21,0,144,31,0,161,21,0,145,31,0,162,21,0,143,0,5,21,0,7,21,0,8,21,0,81,21,0,56,21,0,172,31,0,181,21,0,29,21,0,111,0,19,21,0,9,21,0,10,21,0,11,21,0,12,21,0,160,0,21,21,0,155,21,0,133,21,0,132,21,0,158,3,62,15,143,16,25,0,22,21,0,1,3,2,25,21,0,1,25,21,0,1,22,1,1,22,1,2,4,2,12,25,21,0,1,15,144,21,0,5,0,16,21,0,1,21,0,4,21,0,2,17,17,7,21,0,2,17,25,21,0,1,25,21,0,2,25,21,0,1,25,21,0,1,14,21,0,4,25,21,0,1,21,1,6,21,0,2,17,21,0,4,21,0,1,17,25,21,0,1,21,0,5,21,0,2,17,21,0,4,16,25,21,0,1,21,0,5,16,21,0,4,21,0,2,21,0,5,16,17,25,21,0,1,21,0,5,21,0,1,21,1,6,21,0,2,17,21,0,4,16,17,25,21,0,1,21,0,5,16,21,0,4,21,0,1,21,1,6,21,0,2,17,17,25,21,0,1,15,145,21,1,5,21,0,4,3,2,0,16,21,0,1,21,0,5,21,0,2,17,17,7,21,0,2,17,25,21,0,1,3,1,0,1,21,0,1,17,25,21,0,2,21,0,1,3,2,25,21,0,1,3,1,25,21,0,1,3,1,0,15,3,0,17,0,1,21,0,1,17,25,21,0,2,21,0,1,3,2,25,21,0,2,21,0,1,3,2,25,21,0,1,0,12,16,0,12,0,23,17,0,5,0,81,17,14,21,0,1,22,0,5,11,21,1,27,16,22,0,6,11,14,21,0,4,22,0,7,11,14,21,0,1,21,1,6,0,21,15,146,15,147,3,2,21,1,4,21,0,6,21,1,22,0,22,17,8,8,21,0,2,17,22,0,8,11,14,21,0,6,0,17,16,0,18,0,7,21,1,11,0,23,0,7,21,0,6,17,8,7,16,0,18,15,148,7,16,14,21,0,8,25,21,1,22,0,18,0,12,0,7,0,23,19,7,21,0,1,19,0,19,0,8,7,9,21,1,29,0,6,7,9,25,21,1,7,21,1,0,0,18,21,1,30,21,0,1,7,21,1,8,0,16,7,21,0,2,19,7,16,7,0,16,15,149,19,25,21,0,1,21,1,2,16,25,21,0,2,0,7,21,0,1,21,1,27,16,17,0,17,16,0,18,21,1,7,21,0,1,7,0,16,0,6,21,1,11,21,0,2,8,19,7,16,25,21,0,2,21,1,27,16,22,0,3,11,14,21,0,1,21,1,27,16,0,6,21,0,3,17,0,17,16,0,18,21,0,2,21,1,12,0,16,8,21,1,8,21,0,1,7,0,16,21,0,3,21,1,12,0,7,8,19,3,2,21,1,4,0,13,21,1,11,31,0,3,8,8,7,16,25,21,0,1,21,1,33,0,23,17,22,0,3,11,21,1,29,0,8,7,0,23,17,22,0,4,11,14,21,0,4,0,17,16,0,15,31,0,3,17,0,18,0,6,21,1,11,0,8,21,1,11,31,0,4,8,8,21,1,8,0,16,7,21,0,1,0,15,16,19,7,21,0,2,17,25,21,0,2,0,18,21,0,1,21,1,12,0,16,8,7,16,25,15,150,22,0,2,11,14,15,151,22,0,3,11,14,21,0,3,21,0,1,7,21,1,8,31,0,3,21,1,8,21,0,1,7,7,7,3,2,21,1,4,0,12,21,1,10,21,1,23,8,8,31,0,2,21,0,1,7,3,2,21,1,4,0,12,21,1,10,0,12,8,8,25,15,152,21,0,1,7,22,0,2,11,14,21,0,1,21,0,2,0,20,15,153,15,154,3,2,21,1,4,21,1,14,21,1,10,21,1,23,8,8,0,21,0,18,21,0,2,7,8,8,21,0,2,0,20,21,1,37,21,0,2,7,8,3,3,21,1,4,21,1,14,21,1,10,0,6,8,8,25,21,0,1,21,1,40,21,0,2,17,25,21,0,1,0,14,21,1,10,21,1,128,8,21,0,2,17,22,0,3,11,14,31,0,3,21,1,29,21,1,129,21,0,1,0,15,16,21,1,12,0,16,8,21,1,12,21,1,41,21,1,11,21,0,2,0,15,16,21,1,12,0,16,8,8,8,7,7,16,22,0,4,11,14,0,22,21,1,8,31,0,4,7,16,25,21,0,1,0,12,16,0,13,0,23,17,0,5,0,84,17,14,21,0,1,21,1,27,16,22,0,6,11,14,21,0,1,21,1,33,0,23,17,21,1,29,0,8,7,0,23,17,22,0,7,11,14,21,0,1,0,15,16,22,0,8,11,14,0,22,22,0,9,11,22,0,10,11,14,21,0,8,0,22,0,18,21,1,15,7,21,1,29,0,8,7,0,23,19,3,2,21,1,4,21,0,6,21,1,22,0,25,17,0,8,0,23,0,12,21,0,7,17,17,8,16,21,1,5,21,1,13,21,0,1,21,1,12,15,155,8,8,16,0,7,0,23,17,22,0,11,11,14,21,0,1,0,18,21,0,10,21,1,12,0,7,8,0,7,21,1,11,21,0,9,8,3,2,0,16,21,0,5,17,7,0,4,21,1,11,0,3,8,9,15,156,21,0,4,7,3,2,21,1,4,31,0,11,8,16,0,1,0,22,17,25,21,0,1,0,12,16,0,12,0,23,17,0,5,0,85,17,14,21,0,1,21,1,27,16,22,0,3,11,14,21,0,1,21,0,3,21,1,22,0,22,17,21,1,13,15,157,8,16,0,1,0,22,17,25,21,0,1,21,1,27,16,22,0,3,11,14,21,0,1,21,1,33,0,23,17,22,0,4,11,21,1,29,0,8,7,0,23,17,22,0,5,11,14,31,0,3,0,17,16,0,18,21,1,7,21,0,1,0,15,16,7,0,16,0,8,21,1,11,21,0,5,8,21,1,12,0,6,8,19,7,31,0,5,0,17,16,0,15,31,0,4,17,17,25,21,0,1,21,1,14,16,21,1,166,16,14,21,0,1,0,12,16,21,1,22,0,22,17,25,21,0,1,0,12,16,21,1,8,0,7,7,0,23,17,22,0,3,11,14,21,0,1,0,14,16,22,0,4,11,14,21,0,4,0,16,21,0,3,17,22,0,5,11,14,31,0,3,0,17,16,0,18,31,0,4,21,1,12,0,16,8,7,16,22,0,6,11,14,21,0,6,21,1,29,0,8,7,0,23,17,0,17,16,0,15,31,0,6,17,0,18,21,1,7,21,0,1,0,15,16,7,0,16,0,8,21,1,11,21,0,5,8,21,1,12,0,6,8,19,7,31,0,5,0,17,16,17,25,21,0,1,0,12,16,0,13,0,23,17,0,5,0,87,17,14,21,0,1,21,1,27,16,22,0,3,11,14,21,0,1,21,1,36,21,0,3,0,17,16,0,18,0,7,21,1,11,0,23,0,7,31,0,3,17,8,7,16,17,25,21,0,2,21,1,15,16,0,5,0,88,17,14,21,0,1,21,1,27,16,22,0,3,11,14,0,22,0,12,21,0,3,17,0,6,21,0,3,17,0,9,21,0,2,17,21,1,24,16,0,8,21,0,3,17,0,7,22,0,2,13,14,21,0,1,21,1,36,21,0,3,0,17,16,0,18,21,1,5,0,13,21,0,2,0,7,21,0,3,17,19,0,8,31,0,3,19,0,7,21,1,5,19,0,6,21,0,2,19,7,16,17,25,21,0,1,0,12,16,0,13,0,23,17,0,5,0,89,17,14,21,0,1,21,1,27,16,0,6,0,23,17,0,17,16,0,18,21,0,1,21,1,12,21,1,36,21,1,11,0,17,8,8,7,16,0,1,21,1,11,0,16,21,1,11,0,22,8,8,16,25,21,0,1,0,12,16,0,13,0,23,17,0,5,0,90,17,14,21,0,1,21,1,27,16,22,0,3,11,14,21,0,3,0,6,0,23,17,0,17,16,0,18,21,0,1,21,1,12,21,1,36,21,1,11,15,158,8,8,7,16,0,1,21,1,11,0,16,21,1,11,21,0,3,8,8,16,25,21,1,36,21,1,11,21,0,1,21,1,42,21,1,41,21,1,8,21,1,41,7,3,2,0,16,21,0,1,17,8,8,25,21,0,1,0,12,16,0,13,0,23,17,0,5,0,91,17,14,21,0,1,21,1,27,16,21,1,22,0,22,17,0,5,0,92,17,14,21,0,1,21,1,35,0,22,21,1,22,16,17,25,21,0,2,21,1,14,16,0,5,0,93,17,14,21,0,2,0,18,21,1,15,7,16,0,15,16,21,1,29,0,8,7,0,23,17,0,5,0,94,17,14,21,0,1,21,1,27,16,22,0,3,11,14,21,0,2,0,18,21,1,23,21,1,11,21,0,3,8,0,8,0,13,21,1,11,21,0,3,0,7,16,8,19,7,16,0,15,16,21,1,29,0,8,7,0,23,17,0,5,0,95,17,14,21,0,1,21,1,36,21,1,11,0,18,21,1,5,21,1,23,0,22,19,0,8,31,0,3,19,0,6,21,1,5,19,7,8,21,0,2,17,25,21,0,1,21,1,1,16,22,0,3,11,14,21,0,3,0,16,0,22,17,0,22,21,1,12,0,13,8,21,0,3,21,1,9,21,1,27,8,21,1,8,0,7,7,0,23,19,0,17,9,21,1,29,0,8,21,1,11,0,6,21,1,11,0,23,8,21,1,8,0,16,7,31,0,3,19,21,0,0,9,8,7,0,23,19,3,2,21,1,4,0,13,21,1,11,0,24,8,8,16,25,21,0,1,15,159,21,1,6,21,1,54,9,21,1,13,15,160,8,3,2,21,1,4,21,1,6,21,1,9,0,0,8,0,13,0,26,19,8,21,0,2,17,25,21,0,1,21,1,20,21,1,10,21,0,4,21,1,55,21,1,37,21,0,4,7,0,21,0,18,21,0,4,7,8,8,8,21,0,2,17,25,21,0,1,25,21,0,1,21,0,5,21,1,10,21,0,4,8,21,0,2,17,22,0,6,11,14,21,0,1,21,1,61,21,0,5,7,16,22,0,7,22,0,8,4,2,11,14,21,1,5,21,1,9,21,1,58,8,0,7,0,23,19,21,1,13,15,161,8,22,0,9,11,14,21,1,5,0,20,15,162,8,22,0,10,11,14,31,0,8,31,0,9,21,0,6,17,21,1,7,21,0,1,7,21,1,12,31,0,10,8,21,1,7,21,0,5,7,21,1,180,9,15,163,9,3,2,21,1,4,21,1,58,8,16,25,21,0,1,21,0,2,9,25,21,0,1,22,0,3,22,0,4,22,0,5,4,3,11,14,31,0,5,31,0,4,31,0,3,19,25,21,0,1,22,0,3,22,0,4,4,2,11,14,31,0,4,31,0,3,7,25,21,0,1,22,0,3,22,0,4,22,0,5,4,3,11,14,31,0,5,31,0,4,31,0,3,8,25,21,1,7,21,1,57,7,22,0,5,11,14,21,1,46,21,1,29,21,1,5,21,1,14,9,21,1,13,0,15,21,1,12,0,16,8,8,7,21,0,1,19,0,22,0,14,21,1,5,21,1,29,0,8,7,0,23,19,0,17,9,21,1,12,0,15,8,9,3,2,21,1,4,21,1,14,8,9,22,0,6,11,14,15,164,22,0,7,11,14,21,1,1,0,22,0,16,21,1,11,0,24,8,0,12,21,1,7,21,0,7,7,19,3,2,21,1,4,0,16,21,1,11,0,22,8,0,12,0,29,19,8,9,22,0,8,11,14,15,165,22,0,9,11,14,21,0,9,0,23,7,22,0,10,11,14,31,0,9,0,22,7,22,0,11,11,14,15,166,22,0,12,11,14,15,167,22,0,13,11,14,15,168,22,0,14,11,14,0,0,21,1,21,0,26,19,21,1,13,21,0,14,21,1,58,7,8,22,0,15,11,14,31,0,14,21,0,8,7,22,0,16,11,14,21,1,7,21,1,5,31,0,11,21,1,11,0,23,8,21,0,12,9,21,0,10,21,1,11,0,22,8,21,0,12,9,21,0,10,21,1,11,0,23,8,31,0,12,9,21,0,10,21,1,11,0,23,8,31,0,13,9,31,0,10,21,1,11,0,23,8,21,0,16,15,169,15,170,3,3,21,1,4,21,1,7,0,26,7,0,7,0,0,19,8,3,7,7,0,16,21,1,182,19,15,171,21,1,5,19,22,0,17,11,14,21,1,1,21,1,75,21,1,11,0,23,8,21,1,5,0,16,0,22,19,31,0,17,9,21,0,15,9,21,1,7,21,0,5,7,15,172,21,1,12,21,1,60,8,21,1,5,0,16,0,22,19,31,0,15,9,3,4,21,1,4,21,1,6,21,1,9,0,26,21,1,5,0,24,3,2,21,1,4,0,13,21,1,11,0,24,8,8,3,2,21,1,4,0,13,21,1,11,0,22,8,8,8,8,0,16,21,1,11,0,22,8,19,9,22,0,18,11,14,21,0,4,21,0,18,16,0,22,21,0,7,0,28,8,3,2,21,1,29,15,173,7,16,0,22,21,1,57,3,2,21,1,1,21,1,36,0,23,0,26,3,2,19,3,2,21,1,4,21,0,8,8,16,25,21,0,1,21,1,56,21,1,62,7,21,0,2,17,0,15,16,21,1,29,0,8,7,0,23,17,25,21,0,2,0,16,0,23,17,21,0,1,3,2,21,1,4,21,0,2,0,16,0,22,17,8,25,21,0,1,0,15,16,0,18,21,1,63,7,16,21,1,29,0,7,0,8,0,13,19,0,7,21,1,6,19,7,0,22,17,0,6,0,23,17,25,0,1,21,1,12,21,1,5,0,20,21,1,7,3,0,7,0,15,21,1,65,21,1,10,21,0,2,8,19,8,8,21,1,67,21,1,5,0,20,21,1,6,8,21,0,1,19,3,2,21,1,4,0,15,21,1,9,21,1,27,8,21,1,22,0,22,19,8,25,21,0,1,0,15,16,0,16,0,22,17,21,1,65,16,22,0,3,11,14,21,0,1,0,15,16,0,18,21,1,65,21,1,64,21,0,3,19,7,16,21,1,29,0,8,7,0,23,17,0,5,0,97,17,14,21,0,3,21,1,29,0,8,7,0,23,17,0,17,16,0,15,31,0,3,17,0,18,21,1,8,21,1,17,21,1,12,0,16,8,7,7,21,0,1,17,25,0,28,22,0,3,11,22,0,4,11,14,3,0,22,0,5,11,14,21,0,1,22,0,6,11,14,21,0,1,0,18,21,1,27,7,16,21,1,43,16,0,18,15,174,7,16,25,21,0,1,0,15,16,22,0,3,11,21,1,27,16,22,0,4,11,14,21,0,3,0,18,21,1,65,7,16,22,0,5,11,14,21,0,5,0,16,0,22,17,21,1,27,16,22,0,6,11,14,21,0,1,0,12,16,22,0,7,11,14,21,0,5,0,18,21,1,27,0,12,21,0,6,19,7,16,21,1,29,0,8,7,0,23,17,0,5,0,98,17,14,21,0,7,21,1,21,21,0,6,17,0,5,0,99,17,14,15,175,22,0,8,11,14,21,0,1,21,1,65,16,22,0,9,11,14,0,23,22,0,10,11,14,0,22,21,1,22,16,22,0,11,11,22,0,12,11,14,21,0,7,0,17,16,21,1,56,15,176,7,21,0,9,21,1,46,16,21,0,8,0,8,7,0,23,17,21,1,46,16,17,14,21,1,56,15,177,31,0,3,0,18,0,15,7,16,7,7,22,0,13,11,14,21,0,11,21,0,13,15,178,3,2,21,1,4,21,0,6,21,1,22,21,0,7,17,8,21,0,12,17,25,21,0,2,21,1,27,16,22,0,3,11,14,21,0,1,21,1,27,16,22,0,4,11,14,21,0,3,21,1,21,21,0,4,17,0,5,0,102,17,14,31,0,4,0,17,16,0,18,21,0,1,21,1,12,0,16,8,21,1,12,0,8,21,1,11,21,0,2,21,1,12,0,16,8,8,21,1,5,3,2,21,1,4,21,1,6,0,13,31,0,3,19,8,8,7,16,25,21,0,1,22,0,2,22,0,3,22,0,4,4,3,11,14,0,105,21,1,34,31,0,2,17,21,1,34,0,104,17,22,0,5,11,14,0,106,22,0,6,11,14,0,107,22,0,7,11,14,15,179,25,21,0,1,21,1,26,16,22,0,5,11,21,1,22,21,1,11,21,0,2,8,21,1,13,21,0,4,8,16,14,31,0,5,0,17,16,0,18,21,0,1,0,6,21,0,2,17,21,1,12,0,6,8,7,0,18,0,22,21,1,12,21,1,22,8,21,1,13,0,30,8,7,9,0,18,0,13,21,1,11,21,0,2,8,21,1,13,0,30,8,7,3,2,21,1,4,21,0,1,21,1,22,0,22,17,8,16,25,21,0,1,14,0,6,21,1,25,0,22,19,0,17,9,0,7,21,1,25,0,22,19,0,17,9,0,18,0,6,7,21,1,5,21,1,9,21,1,22,8,19,3,2,21,1,4,21,1,22,21,1,11,0,22,8,8,25,21,0,1,0,12,16,0,13,0,23,17,0,5,0,110,17,14,21,0,2,0,12,21,1,10,0,7,8,21,0,1,17,22,0,3,11,14,21,0,3,0,13,0,22,17,0,5,0,111,17,14,21,0,3,21,1,21,0,23,17,0,5,0,112,17,14,21,0,1,21,1,33,0,23,17,22,0,4,11,14,21,0,4,21,1,27,16,0,17,16,0,18,21,1,7,21,0,2,21,1,65,16,7,0,16,31,0,3,0,7,0,23,17,21,1,12,0,6,8,19,0,12,21,0,4,21,1,12,0,16,8,19,7,16,21,1,29,0,8,7,0,23,17,0,5,0,113,17,14,31,0,4,21,1,29,0,8,7,0,23,17,25,21,0,1,21,1,76,21,0,2,17,22,0,3,11,14,21,0,2,0,23,21,1,27,3,2,21,1,4,21,1,5,0,12,21,1,10,0,13,8,21,0,1,19,8,16,0,8,21,0,3,17,22,0,4,11,14,21,0,1,21,1,27,16,0,8,31,0,3,17,0,17,16,0,18,21,0,2,21,1,17,16,21,1,12,0,16,8,21,1,7,21,0,1,0,15,16,7,0,16,21,0,4,21,1,12,0,7,8,19,3,2,21,1,4,0,13,21,1,11,31,0,4,8,8,7,16,0,15,21,0,1,21,1,65,16,17,25,21,0,1,21,1,76,21,0,2,17,22,0,3,11,14,21,0,1,21,1,27,16,0,8,21,0,3,17,22,0,4,11,14,21,0,2,0,23,21,1,27,3,2,21,1,4,21,1,5,0,12,21,1,10,0,13,8,21,0,1,19,8,16,0,8,31,0,3,17,22,0,5,11,14,21,0,5,0,7,21,0,4,17,22,0,6,11,14,31,0,4,0,17,16,0,18,21,1,7,21,0,1,0,15,16,7,0,16,31,0,5,21,1,12,0,6,8,19,21,1,7,21,0,2,21,1,17,16,7,0,16,21,0,6,21,1,12,0,7,8,19,3,2,21,1,4,0,13,21,1,11,31,0,6,8,8,7,16,0,15,21,0,1,21,1,65,16,17,25,21,0,1,0,12,16,0,13,0,23,17,0,5,0,110,17,14,21,0,1,21,1,33,0,23,17,21,1,5,21,1,29,0,8,7,0,23,19,0,17,9,21,1,12,0,15,8,16,0,18,21,0,1,0,1,16,7,16,25,21,0,2,0,12,16,21,1,21,0,23,17,0,5,0,114,17,14,21,0,2,21,1,17,16,22,0,2,12,21,1,27,16,22,0,3,11,14,21,0,1,21,0,3,21,1,22,0,22,17,21,1,13,21,1,5,0,20,15,180,8,8,21,0,2,17,25,21,0,1,0,28,21,1,109,21,0,4,8,21,0,2,17,25,21,0,1,22,0,3,11,14,21,1,20,21,1,12,15,181,15,182,3,2,21,1,4,21,1,6,21,1,9,21,1,64,21,1,22,21,0,2,19,8,8,8,25,21,0,2,21,1,83,21,0,1,17,21,1,24,16,0,8,21,0,2,17,0,7,21,0,1,17,25,21,0,2,21,0,1,3,2,0,16,21,0,1,21,1,23,21,0,2,17,17,25,21,0,2,21,0,1,3,2,0,16,21,0,1,21,1,22,21,0,2,17,17,25,21,0,1,0,21,21,0,1,0,1,0,22,21,0,2,16,19,8,25,21,0,2,21,1,95,16,21,1,96,0,23,17,0,5,0,124,17,14,21,0,2,21,1,17,16,22,0,3,11,14,21,0,3,0,18,21,1,16,7,16,21,1,100,16,22,0,4,11,21,1,29,21,1,98,7,0,22,17,22,0,5,11,14,21,0,5,21,1,96,0,23,17,0,5,0,125,17,14,21,0,1,21,1,17,16,22,0,6,11,21,1,94,16,22,0,7,11,14,21,0,3,21,1,5,21,1,29,21,1,91,7,0,23,19,15,183,3,2,21,1,4,31,0,5,8,16,22,0,8,11,14,21,0,6,21,0,7,21,1,94,21,0,8,17,21,1,13,21,1,5,0,20,15,184,8,8,16,0,15,21,0,3,17,25,15,185,22,0,3,11,14,15,186,22,0,4,11,14,21,0,1,21,0,3,31,0,4,3,2,21,1,4,21,1,14,8,16,25,21,0,1,21,1,95,16,21,1,96,0,23,17,0,5,0,131,17,14,21,0,1,21,1,104,16,22,0,1,12,14,21,0,1,21,1,94,16,0,26,21,1,12,21,1,97,8,21,1,89,21,1,97,21,1,11,0,23,8,19,16,0,5,0,132,17,14,21,0,1,0,18,21,1,15,7,16,21,1,29,21,1,89,7,0,23,17,0,5,0,133,17,14,21,0,1,25,21,0,1,21,1,9,21,1,106,8,21,1,5,21,1,9,21,1,92,8,21,1,56,0,16,7,21,1,94,21,1,12,21,1,8,21,1,86,21,1,98,0,23,19,21,1,99,21,1,6,19,7,8,19,0,23,0,22,3,2,0,21,0,24,3,1,8,19,25,21,0,1,21,1,107,21,0,5,7,21,0,2,17,22,0,6,11,21,1,93,0,22,17,22,0,7,11,14,21,0,4,22,0,8,11,14,15,187,22,0,9,11,14,21,0,1,21,0,9,31,0,6,7,21,0,2,17,25,21,0,1,21,1,107,21,0,5,7,21,1,56,21,1,99,21,1,12,21,1,87,8,21,1,99,21,1,88,0,22,19,3,2,21,1,4,21,1,5,21,1,97,0,22,19,8,7,21,1,95,21,1,10,21,1,18,8,19,21,0,2,17,22,0,6,11,14,15,188,22,0,7,11,14,21,1,5,21,1,92,9,21,0,7,21,1,5,0,18,21,1,92,7,9,3,3,21,1,4,21,1,95,21,1,12,21,1,96,8,21,1,98,0,23,19,21,1,91,0,22,21,1,12,21,1,93,8,19,8,22,0,7,12,14,21,0,1,21,0,7,21,0,6,0,16,21,1,11,21,1,94,21,1,8,21,1,99,7,0,23,19,8,16,17,21,1,56,21,0,4,7,21,0,2,31,0,7,31,0,6,0,16,0,22,17,17,17,21,1,93,16,25,21,0,1,21,1,95,16,21,1,97,0,23,17,0,5,0,134,17,14,21,0,4,22,0,5,11,14,15,189,22,0,6,11,14,21,0,1,31,0,6,15,190,3,2,21,1,4,0,23,0,21,21,1,94,21,1,92,0,22,19,8,8,21,0,2,17,25,21,0,1,21,1,65,21,1,10,21,1,18,8,21,0,2,17,22,0,3,11,14,21,0,3,0,18,21,1,94,7,16,22,0,4,11,21,1,29,21,1,88,7,0,23,17,22,0,5,11,14,21,0,4,21,1,99,21,0,5,17,21,1,96,0,23,17,21,1,29,21,1,89,7,0,23,17,0,5,0,136,17,14,21,0,3,21,1,56,21,1,36,21,1,11,0,23,21,1,99,21,0,5,17,0,17,16,21,1,12,21,1,98,8,8,7,21,0,5,21,1,100,21,0,4,17,17,22,0,6,11,14,21,0,6,21,1,29,21,1,64,7,16,0,5,0,137,17,14,31,0,3,21,1,56,0,23,21,1,5,0,16,0,22,19,3,2,21,1,4,21,1,6,8,7,31,0,4,21,1,95,31,0,5,17,17,21,1,29,21,1,98,7,0,22,17,22,0,7,11,14,21,0,1,21,1,104,21,1,10,21,1,34,8,21,0,2,17,21,1,104,31,0,6,0,16,0,22,17,21,1,34,31,0,7,3,1,17,17,25,21,0,2,21,1,14,21,1,13,21,1,104,0,16,0,22,19,8,16,22,0,2,12,14,21,0,2,21,1,16,16,0,5,0,86,17,14,21,0,2,22,0,3,11,22,0,4,11,14,21,0,1,21,1,36,21,0,1,21,1,94,16,21,1,91,21,0,3,17,0,17,16,0,19,21,1,8,15,191,21,1,13,15,192,8,7,7,16,17,25,21,0,1,21,1,94,21,1,10,21,1,95,8,21,0,2,17,0,5,0,138,17,14,21,0,1,21,1,113,21,0,2,17,25,21,0,1,0,18,21,1,15,7,16,21,1,29,21,1,89,7,0,23,17,0,5,0,139,17,14,21,0,1,21,1,97,0,28,17,21,1,29,21,1,89,7,0,23,17,0,5,0,140,17,14,0,3,22,0,5,11,14,21,0,1,21,1,6,0,21,0,22,8,21,1,13,21,1,5,15,193,21,1,94,21,1,12,21,1,8,21,1,99,7,8,19,8,21,0,2,17,22,0,1,12,14,21,0,1,0,4,21,0,1,21,0,5,16,22,0,6,11,17,22,0,7,11,14,0,22,22,0,8,11,14,31,0,6,0,18,21,1,117,21,1,9,0,18,15,194,7,8,21,0,4,9,7,16,25,21,0,1,21,1,95,16,21,1,95,0,23,17,0,5,0,141,17,14,21,1,122,21,1,5,7,22,0,3,11,14,21,0,1,21,0,3,0,1,0,22,21,1,9,21,1,117,8,19,0,18,15,195,7,21,1,29,0,18,0,18,21,1,34,7,7,7,3,0,21,1,92,16,21,1,92,16,19,0,1,0,18,0,22,7,3,0,21,1,12,21,1,104,8,0,1,21,1,5,19,9,19,3,2,21,1,4,21,1,64,21,1,92,0,23,19,8,16,25,21,0,1,21,1,14,16,0,5,0,142,17,14,21,0,2,21,1,64,21,1,93,0,24,19,21,1,13,21,1,20,21,1,9,21,1,18,8,8,16,22,0,2,12,14,21,0,2,21,1,95,16,21,1,95,0,23,17,0,5,0,143,17,14,21,0,2,0,18,21,1,95,7,16,22,0,3,11,21,1,29,21,1,98,7,0,22,17,22,0,4,11,14,21,0,1,21,1,95,16,21,1,97,21,0,4,17,0,5,0,144,17,14,21,0,1,21,1,65,16,21,1,115,21,0,4,17,21,1,99,21,0,2,0,18,21,1,65,7,16,21,1,72,16,17,22,0,5,11,14,21,0,5,21,0,3,21,1,95,0,23,17,21,1,119,21,0,3,17,21,1,12,21,1,97,8,21,1,89,21,1,97,21,1,11,0,22,8,19,16,21,1,29,21,1,89,7,0,23,17,0,5,0,145,17,14,0,22,3,1,21,1,34,31,0,5,17,21,1,36,21,0,3,0,19,21,1,98,7,16,21,1,120,0,22,17,17,21,1,87,31,0,3,17,22,0,6,11,14,21,0,2,0,18,21,1,104,7,16,22,0,2,12,0,18,21,1,94,7,16,22,0,7,11,14,21,1,7,21,0,1,7,21,1,103,21,0,1,21,1,33,31,0,4,17,21,1,12,21,1,34,8,19,22,0,8,11,14,21,0,7,21,1,29,21,1,91,7,0,23,17,3,1,21,0,8,16,21,1,12,21,1,36,8,22,0,9,11,14,21,0,2,0,16,21,1,11,0,22,8,21,1,10,21,1,122,21,0,9,7,8,21,1,56,21,1,122,21,1,5,7,7,21,1,91,31,0,7,21,1,118,16,21,1,120,0,23,17,0,19,21,1,91,7,16,21,1,118,16,19,21,1,29,0,18,0,18,21,1,98,7,7,7,9,0,18,31,0,9,7,9,3,2,21,1,4,21,1,5,21,1,9,21,1,94,8,21,1,94,0,23,19,8,31,0,6,17,0,1,21,0,2,0,18,0,22,7,16,31,0,8,16,17,25,21,0,2,21,1,95,16,21,1,95,0,23,17,0,5,0,146,17,14,21,0,1,21,1,65,16,22,0,3,11,21,1,94,21,1,10,21,1,95,8,21,0,2,17,0,5,0,147,17,14,21,0,2,0,18,21,1,15,7,16,21,1,29,21,1,89,7,0,23,17,0,5,0,148,17,14,21,0,3,21,1,92,21,1,89,21,1,99,21,1,12,21,1,96,8,19,21,0,2,17,21,1,29,21,1,89,7,0,23,17,0,5,0,149,17,14,0,22,21,1,92,21,0,2,17,21,1,91,21,0,3,17,21,1,98,21,0,2,17,22,0,2,12,14,21,0,2,21,1,94,16,21,1,100,21,1,11,21,1,117,8,16,21,1,99,16,21,1,29,21,1,5,21,1,91,31,0,3,21,1,12,0,16,8,19,21,1,98,21,0,2,21,1,12,0,16,8,19,7,0,22,17,21,1,8,0,16,7,21,0,1,21,1,104,16,17,25,21,0,2,0,18,21,0,1,21,1,12,21,1,126,8,7,16,25,21,0,1,21,1,95,21,1,11,0,22,8,21,1,29,21,1,90,7,0,22,19,21,1,10,21,1,8,21,1,99,7,8,21,0,2,17,22,0,3,11,14,21,0,1,0,22,21,0,3,3,2,15,196,3,2,21,1,4,0,22,21,1,95,31,0,3,17,8,21,0,2,17,25,21,0,4,22,0,5,11,14,21,0,2,22,0,6,11,14,21,0,1,22,0,7,11,14,15,197,22,0,8,11,14,21,0,4,21,1,95,21,1,11,0,22,8,21,1,13,21,0,1,8,9,31,0,8,3,2,0,16,21,0,6,21,1,94,0,23,17,17,25,21,0,1,22,0,2,11,14,21,1,92,21,1,11,0,22,8,21,1,13,15,198,8,25,21,0,2,21,1,95,16,21,1,8,21,1,99,7,0,23,17,22,0,5,11,14,21,0,5,21,1,97,0,22,17,0,5,0,150,17,14,21,0,1,21,1,95,16,21,1,97,21,0,5,17,0,5,0,151,17,14,21,0,2,21,1,33,0,23,17,22,0,6,11,21,1,29,21,1,91,7,0,23,17,22,0,7,11,14,0,22,21,1,129,21,0,2,21,1,104,16,21,1,12,0,16,8,21,1,10,21,0,4,8,7,21,0,7,17,22,0,8,11,14,21,0,2,21,1,94,16,0,23,0,23,21,1,12,21,1,99,21,1,9,21,1,117,8,8,21,1,91,21,0,7,19,0,18,21,1,98,21,1,11,31,0,7,8,21,1,12,31,0,8,8,7,9,21,1,8,21,1,97,7,0,22,19,21,1,29,21,1,89,7,0,23,19,3,2,21,1,4,21,1,92,21,1,11,0,22,8,8,16,0,5,0,152,17,14,21,0,1,21,1,95,16,21,1,8,21,1,99,7,31,0,5,17,22,0,9,11,14,21,0,1,21,1,20,16,21,1,33,21,0,9,17,22,0,10,11,14,21,0,10,21,1,128,21,0,6,17,22,0,11,11,14,31,0,11,21,1,29,21,1,129,21,0,1,21,1,104,16,21,1,12,0,16,8,21,1,12,21,0,4,21,1,11,21,0,2,21,1,104,16,21,1,12,0,16,8,8,8,7,7,16,22,0,12,11,14,21,1,8,0,22,7,21,1,97,31,0,12,21,1,11,21,1,91,21,1,11,31,0,6,21,1,29,21,1,91,7,0,23,17,8,8,19,22,0,13,11,14,31,0,9,21,1,117,16,0,18,21,0,1,21,1,65,16,21,1,12,0,16,8,7,16,21,1,5,21,1,29,21,1,91,7,0,23,19,21,1,117,9,21,1,12,21,1,104,8,16,21,1,91,31,0,10,21,1,29,21,1,91,7,0,23,17,17,0,18,15,199,21,1,11,21,0,2,21,1,94,16,8,7,16,0,1,0,22,17,25,21,0,1,22,0,2,11,14,21,1,111,21,1,89,7,21,1,100,9,0,19,21,1,89,7,21,1,111,21,1,98,7,9,3,2,0,16,21,0,1,17,22,0,3,11,14,15,200,0,1,0,22,19,25,21,0,1,21,1,95,16,21,1,97,0,23,17,0,5,0,155,17,14,21,0,1,21,1,134,16,22,0,5,11,14,21,0,1,21,1,94,16,21,1,117,16,0,18,0,23,21,1,5,21,0,1,21,1,95,21,1,92,0,23,19,21,1,13,21,1,81,21,1,92,7,8,16,21,1,36,21,0,5,17,21,1,12,0,16,8,21,1,10,21,1,65,8,0,23,21,1,12,21,1,99,8,19,3,2,21,1,4,21,1,92,21,1,11,0,22,8,8,7,16,21,0,4,21,0,5,17,21,1,36,31,0,5,21,1,137,16,17,0,1,0,22,17,25,21,0,2,21,1,95,16,22,0,3,11,14,21,0,1,21,1,95,16,21,1,97,21,0,3,17,0,5,0,156,17,14,21,0,1,21,0,3,21,1,133,21,1,117,21,1,11,21,0,2,21,1,65,16,21,1,87,21,0,1,21,1,65,16,21,1,115,21,1,11,21,1,99,8,21,0,3,17,21,1,98,0,23,17,17,8,8,16,31,0,3,21,1,133,21,1,64,8,21,0,2,17,0,1,0,22,17,25,21,0,2,21,1,95,16,21,1,96,0,23,17,0,5,0,157,17,14,21,0,1,21,1,65,16,21,1,94,21,1,10,21,1,97,8,21,0,2,17,0,5,0,158,17,14,21,0,2,21,1,104,16,0,18,21,1,16,7,16,21,1,29,21,1,89,7,0,23,17,0,5,0,159,17,25,21,0,1,21,1,65,16,21,1,143,21,0,2,17,0,18,21,1,29,21,1,87,7,7,16,21,1,117,16,0,18,21,1,7,21,0,1,7,21,1,127,21,1,36,21,1,11,21,0,2,8,19,7,16,25,21,0,1,21,1,146,21,0,2,17,14,21,0,2,21,1,104,16,22,0,2,12,14,21,0,2,21,1,145,16,21,1,100,16,21,1,29,21,1,98,7,0,22,17,21,1,99,21,0,1,21,1,95,16,17,22,0,3,11,14,21,0,3,21,1,92,21,0,2,17,21,1,29,21,1,89,7,0,23,17,0,5,0,160,17,14,21,0,1,21,1,147,31,0,3,21,1,117,16,21,1,5,21,1,119,21,1,8,21,1,145,21,1,9,21,1,100,8,7,19,21,0,2,17,21,1,142,21,0,2,17,17,25,21,0,1,21,1,146,21,0,2,17,14,21,0,2,21,1,104,16,22,0,2,12,14,21,0,1,21,1,95,16,22,0,3,11,14,21,0,2,21,0,3,21,1,12,21,1,92,8,21,1,89,21,1,145,19,16,21,1,29,21,1,89,7,0,23,17,21,1,165,16,14,21,0,1,21,1,147,31,0,3,21,1,117,16,21,1,5,21,1,119,21,1,8,21,1,145,21,1,9,21,1,100,8,7,19,21,0,2,17,21,1,142,21,0,2,17,21,1,137,16,17,25,21,0,2,21,1,95,16,21,1,8,21,1,99,7,0,23,17,22,0,3,11,14,21,0,3,21,1,97,0,22,17,0,5,0,161,17,14,21,0,1,21,1,95,16,21,1,97,31,0,3,17,0,5,0,162,17,14,21,0,1,21,1,144,21,1,11,21,0,2,8,21,1,104,21,1,9,21,1,151,21,1,12,21,1,81,21,1,141,7,8,8,21,1,104,21,1,7,0,24,7,21,1,142,21,1,65,19,19,9,21,1,10,21,1,144,8,21,0,2,17,25,21,0,1,15,201,21,0,5,21,1,154,21,0,1,21,0,4,21,0,2,17,17,7,21,0,2,17,25,21,0,1,21,1,180,16,25,21,0,1,21,0,5,21,0,2,17,22,0,6,11,14,0,22,22,0,7,11,22,0,8,11,14,21,0,6,0,22,21,1,132,15,202,8,16,14,0,22,15,203,0,21,21,1,7,15,204,7,8,21,0,2,17,22,0,9,11,14,21,0,1,3,1,22,0,10,11,14,15,205,21,1,11,31,0,9,8,22,0,11,11,14,21,0,7,21,0,11,21,0,4,17,22,0,12,11,14,21,0,8,21,1,99,16,21,0,10,31,0,11,21,1,11,21,1,180,8,3,2,21,1,155,21,1,92,21,1,11,0,22,8,8,21,0,4,17,22,0,13,11,14,31,0,6,0,22,21,1,132,21,1,7,31,0,12,31,0,13,3,2,7,21,1,154,0,22,21,1,12,21,1,92,8,19,21,1,154,21,1,86,19,8,16,25,0,24,21,1,83,21,0,2,21,1,94,16,17,21,1,117,16,21,1,91,0,24,17,22,0,3,11,14,21,0,1,21,1,92,16,21,1,142,21,0,2,21,1,153,21,0,3,21,1,98,0,23,17,17,17,21,1,31,21,0,2,21,1,153,31,0,3,17,8,25,0,22,21,0,1,16,25,21,0,1,21,0,4,21,0,2,17,22,0,6,11,14,21,0,6,21,0,5,21,0,2,17,21,1,64,21,0,1,17,21,1,166,16,14,31,0,6,25,21,0,1,21,1,64,16,21,1,95,0,24,17,21,1,165,16,14,21,0,1,0,18,21,1,95,7,16,21,1,95,0,23,17,21,1,29,21,1,89,7,0,23,17,21,1,166,16,14,21,0,1,21,1,142,16,22,0,3,11,14,21,0,3,0,18,21,1,16,7,16,21,1,29,21,1,89,7,0,23,17,21,1,166,16,14,21,0,1,21,1,56,21,1,120,7,0,28,17,21,1,142,16,21,1,93,21,0,3,17,21,1,29,21,1,89,7,0,23,17,21,1,166,16,14,21,0,3,0,3,16,22,0,4,11,14,0,23,21,1,97,21,0,4,17,21,1,29,21,1,89,7,0,23,17,21,1,166,16,14,31,0,4,21,1,100,16,21,1,119,16,22,0,5,11,14,21,0,5,21,1,56,0,28,7,16,21,1,142,21,0,1,21,1,56,21,1,94,7,16,21,1,119,16,17,21,1,153,31,0,5,21,1,142,31,0,3,17,21,1,134,16,17,25,21,0,2,21,1,95,16,21,1,95,0,23,17,21,1,165,16,14,21,0,2,0,18,21,1,16,7,16,21,1,29,21,1,89,7,0,23,17,21,1,165,16,14,21,0,2,21,1,143,16,22,0,3,11,14,21,0,1,21,1,56,21,1,94,7,21,1,10,21,1,64,8,21,0,3,17,21,1,166,16,14,21,0,1,21,1,142,21,1,10,21,1,153,21,1,11,21,1,134,8,8,31,0,3,17,25,21,0,1,21,1,14,16,21,1,166,16,14,21,0,1,21,1,95,16,21,1,95,0,22,17,21,1,166,16,14,21,0,1,21,1,154,16,25,21,0,2,21,1,95,21,1,10,21,1,99,8,21,0,1,17,22,0,3,11,14,21,0,3,0,23,21,1,12,21,1,97,8,21,1,89,21,1,97,21,1,11,0,22,8,19,16,21,1,166,16,14,21,0,2,0,23,21,1,94,3,2,21,1,155,21,0,3,8,16,22,0,4,11,14,21,0,1,21,1,94,16,21,1,97,21,0,4,17,21,1,166,16,14,21,0,1,21,1,153,21,1,115,21,1,11,21,0,4,8,3,2,21,1,155,31,0,3,8,16,21,1,64,21,0,2,17,21,1,166,16,14,21,0,1,21,1,116,31,0,4,17,25,21,0,1,21,1,94,16,21,1,95,0,24,17,21,1,166,16,14,21,0,1,21,1,153,16,21,1,64,21,0,2,17,21,1,166,16,14,21,0,1,21,1,153,0,23,17,25,21,0,1,21,1,94,16,21,1,95,0,23,17,21,1,166,16,14,21,0,1,21,1,153,16,25,21,0,1,21,1,95,16,21,1,95,0,23,17,21,1,165,16,14,21,0,1,0,18,21,1,16,7,16,21,1,29,21,1,89,7,0,23,17,21,1,165,16,14,21,0,1,21,1,116,21,1,11,0,23,8,21,1,97,21,1,116,21,1,11,0,28,8,19,21,1,29,21,1,89,7,0,23,19,16,21,1,166,16,14,21,0,1,0,3,16,25,21,0,1,21,1,20,21,1,10,21,0,4,21,1,55,0,18,21,0,4,7,8,8,21,0,2,17,25,21,0,5,14,21,0,1,21,0,4,21,0,2,17,25,21,0,1,21,1,180,16,25,21,0,2,21,1,12,21,0,1,8,0,21,21,0,2,21,0,1,9,8,25,21,1,154,21,1,11,0,23,8,21,0,1,21,1,12,15,206,8,21,1,154,21,1,11,0,22,8,19,25,21,1,5,21,1,9,21,1,64,8,21,1,92,0,22,19,21,1,166,9,21,1,6,21,1,56,21,1,156,21,0,1,7,7,19,25,21,1,5,21,1,9,21,1,64,8,21,1,92,0,22,19,21,1,166,9,21,1,6,0,22,21,1,9,21,1,165,8,0,21,21,1,172,21,1,156,21,0,1,7,7,8,19,25,21,1,5,21,1,9,21,1,95,8,21,1,92,0,22,19,21,1,166,9,21,1,6,21,1,81,21,1,156,21,0,1,7,21,1,5,21,1,11,21,1,14,21,1,9,21,1,166,8,8,9,7,19,25,21,1,56,21,1,156,21,0,1,7,7,25,21,1,5,21,1,9,21,1,95,8,21,1,92,0,22,19,21,1,166,9,21,1,6,21,1,5,21,0,1,21,1,120,19,0,21,21,1,94,21,1,92,0,23,19,21,1,158,21,1,116,21,1,11,0,23,8,21,0,1,21,1,116,21,1,11,0,28,8,19,21,1,142,21,1,153,19,8,8,19,25,21,0,1,21,1,1,16,25,21,1,154,21,1,11,0,23,8,21,0,1,21,1,12,15,207,8,21,1,153,21,1,11,0,22,0,24,3,2,8,19,25,21,0,1,21,1,7,15,208,7,3,2,21,1,155,21,1,95,21,1,11,21,1,7,21,1,173,7,8,8,25,21,1,156,21,0,2,7,22,0,3,11,14,21,0,3,21,1,11,21,0,1,8,0,21,31,0,3,8,21,1,156,21,0,1,7,9,25,21,0,1,21,1,160,21,1,156,21,0,2,7,8,25,21,0,1,21,1,158,21,0,2,8,21,1,168,21,0,1,21,1,99,16,21,1,158,21,0,2,8,8,25,21,0,1,21,1,99,16,21,1,158,21,0,2,8,25,21,1,156,21,0,1,7,0,21,21,1,156,21,0,2,7,8,25,21,1,156,21,0,1,7,21,1,11,21,0,2,8,25,21,0,1,0,21,21,1,167,8,25,21,1,156,21,0,2,7,21,1,156,21,0,1,7,9,0,21,21,0,1,21,1,7,0,22,21,1,9,21,1,165,8,7,15,209,3,2,21,1,155,21,1,5,21,1,9,21,1,176,8,8,21,0,2,17,8,25,21,0,1,22,0,3,22,0,4,22,0,5,4,3,11,14,21,1,176,21,1,100,9,22,0,6,11,14,31,0,5,15,210,15,211,21,1,7,21,1,167,7,3,2,21,1,155,21,1,5,21,1,9,21,0,6,8,8,3,2,21,1,155,21,1,6,21,1,9,31,0,6,8,8,31,0,3,17,25,21,0,1,21,1,1,16,25,21,1,5,21,1,64,21,1,9,21,1,166,8,21,0,1,19,21,1,6,21,1,5,19,25,21,0,1,21,1,180,16,21,1,5,15,212,3,2,21,1,155,0,22,21,1,5,21,1,9,21,1,1,8,21,1,153,0,22,0,33,3,2,19,21,1,65,0,29,21,1,173,3,2,19,3,2,21,1,155,21,1,65,21,1,11,21,1,7,21,1,167,7,8,21,1,89,21,1,65,19,8,8,21,0,1,17,25,21,0,1,21,1,56,21,1,94,7,16,21,1,94,21,1,142,21,1,119,19,16,21,1,31,21,0,1,21,1,142,16,8,25,21,1,92,21,1,144,21,0,1,19,21,1,154,9,22,1,2,12,14,21,0,1,21,1,3,3,2,25,21,0,1,25,21,0,1,25,21,0,1,14,21,1,7,21,2,164,16,25,0,23,0,7,21,1,6,17,22,1,6,12,14,21,0,1,0,16,21,1,6,17,25,21,1,8,21,1,7,21,1,5,0,16,21,0,1,17,17,22,1,8,12,25,21,0,1,21,2,2,16,25,21,0,2,0,14,16,22,0,5,11,14,21,0,2,0,12,16,0,17,16,21,2,29,0,8,21,2,11,21,0,1,0,14,16,21,2,12,0,16,8,0,12,21,0,5,21,2,12,0,16,8,19,8,7,0,23,17,0,5,0,82,17,14,21,0,5,21,2,29,0,8,7,0,23,17,0,17,16,0,18,21,0,1,0,15,16,21,2,12,0,16,8,21,0,4,21,0,2,0,15,16,21,2,12,0,16,8,19,7,16,0,15,31,0,5,17,25,21,0,2,0,14,16,22,0,5,11,14,21,0,2,0,12,16,22,0,6,11,14,21,0,1,0,14,16,22,0,7,11,14,21,0,6,0,17,16,21,2,29,0,8,21,2,11,21,0,7,21,2,12,0,16,8,0,12,31,0,5,21,2,12,0,16,8,19,8,7,0,23,17,0,5,0,83,17,14,21,0,6,0,7,21,0,1,0,12,16,17,0,17,16,21,2,29,0,8,21,2,11,0,6,21,2,11,31,0,6,8,21,2,8,0,16,7,21,0,7,19,8,7,0,23,17,22,0,8,11,14,21,0,2,0,15,16,22,0,9,11,14,21,0,1,0,15,16,22,0,10,11,14,21,0,8,0,17,21,2,10,0,18,21,2,7,31,0,10,7,0,16,0,6,21,2,11,0,8,21,2,11,31,0,8,8,8,19,21,0,4,21,0,9,21,2,12,0,16,8,19,7,8,31,0,9,21,2,27,16,17,0,15,16,0,15,31,0,7,17,25,21,0,1,21,2,38,21,0,4,7,21,0,2,17,25,21,0,1,0,18,15,213,21,0,2,7,7,16,25,21,0,2,0,18,15,214,21,0,1,7,7,16,25,21,1,6,0,8,0,24,17,0,13,21,0,1,21,2,29,21,2,24,7,16,22,1,10,12,0,7,21,0,1,21,2,29,21,2,25,7,16,22,1,9,12,17,17,25,21,0,1,14,21,2,8,0,22,7,21,2,23,0,22,21,2,129,21,1,8,21,2,12,0,16,8,21,2,10,21,0,4,8,7,21,1,7,17,19,22,0,5,11,14,21,2,5,21,1,6,3,2,21,2,4,0,13,21,2,11,21,1,6,8,8,22,0,6,11,14,0,22,0,12,21,1,6,17,0,6,21,1,6,17,0,2,0,24,17,21,2,25,16,22,0,7,11,0,17,16,0,18,21,2,5,0,6,0,23,19,0,7,31,0,7,19,0,10,0,24,19,7,16,21,2,29,15,215,7,21,1,6,0,17,16,17,25,21,0,1,0,18,21,2,16,7,16,21,2,29,0,8,7,0,23,17,0,5,0,86,17,14,0,23,0,7,21,1,3,17,22,0,3,11,14,21,2,5,0,7,21,0,3,19,21,2,8,0,16,7,21,1,3,0,17,16,0,18,0,7,21,2,11,21,0,3,8,7,16,0,19,21,2,5,21,2,8,0,16,7,21,0,1,19,0,12,0,22,19,0,8,0,7,19,0,6,21,2,5,19,7,16,19,22,0,4,11,14,21,0,1,0,19,0,6,7,16,21,2,12,0,16,8,22,0,5,11,14,0,22,21,0,4,16,22,0,6,11,21,0,5,16,22,0,7,11,14,31,0,3,21,0,5,16,0,17,16,0,18,15,216,7,16,25,21,0,1,0,7,21,1,3,17,0,17,16,0,18,0,6,21,2,11,21,0,1,8,7,16,25,21,0,1,0,1,21,0,2,19,25,21,0,2,0,20,21,0,1,21,2,101,21,0,2,17,8,25,21,2,5,21,2,14,9,0,12,21,2,10,0,12,8,0,14,21,2,10,21,2,56,0,12,7,8,21,2,29,0,8,7,0,23,19,3,3,21,2,29,15,217,7,16,22,0,3,11,14,15,218,22,0,4,11,14,21,2,18,21,0,4,15,219,3,2,21,2,4,21,2,5,21,2,9,21,2,29,31,0,3,7,8,8,3,2,21,2,4,21,2,5,0,16,0,22,19,21,2,14,9,8,22,0,5,11,14,0,22,22,0,6,11,14,21,0,1,15,220,16,14,21,0,1,21,0,2,3,2,21,0,5,0,22,17,22,0,7,11,14,21,0,6,0,17,16,0,18,15,221,7,16,22,0,8,11,14,31,0,8,31,0,4,0,12,21,0,7,17,21,2,13,21,2,7,21,2,57,7,8,16,25,15,222,21,2,11,21,0,2,8,22,0,3,11,14,15,223,22,0,4,11,14,15,224,21,2,11,0,22,8,22,0,5,11,14,21,0,1,21,2,7,21,0,2,7,0,16,0,22,19,0,16,0,23,19,31,0,5,3,2,21,2,4,21,1,7,21,2,9,21,2,14,8,8,16,25,21,1,6,21,0,1,16,25,21,0,4,22,0,6,11,14,21,0,1,22,0,7,22,0,8,22,0,9,4,3,11,14,21,0,5,21,2,14,21,2,23,31,0,8,19,21,2,13,15,225,21,2,9,21,1,6,8,8,16,31,0,7,21,0,2,17,22,0,10,11,14,31,0,10,31,0,9,21,2,13,15,226,8,16,25,21,0,1,15,227,21,0,1,21,0,2,21,0,4,3,3,7,3,2,21,2,4,21,2,5,21,1,8,9,8,25,21,1,5,0,21,21,0,1,8,25,21,0,1,0,21,21,1,5,8,25,21,1,5,21,0,1,3,2,21,2,4,21,0,4,0,7,0,23,19,21,2,10,0,8,0,21,21,2,5,8,8,8,25,21,0,1,22,0,3,11,14,15,228,25,21,0,1,22,0,3,11,14,15,229,25,21,0,2,21,0,1,16,25,21,0,1,21,2,56,21,1,18,7,16,25,21,0,1,21,0,2,16,25,21,0,1,0,12,21,2,11,21,1,4,8,0,7,0,23,19,21,2,13,15,230,8,16,14,21,1,5,0,16,0,23,0,6,21,1,3,17,22,1,3,12,17,25,21,0,2,22,0,5,11,14,21,0,4,22,0,6,11,14,21,0,1,0,18,15,231,7,16,25,21,0,2,22,0,3,11,14,21,1,9,0,16,21,0,1,17,22,0,4,11,14,21,1,5,0,18,0,16,21,2,11,21,0,1,8,7,16,22,0,5,11,14,21,0,4,0,17,16,0,18,21,2,7,21,0,5,7,0,16,0,8,21,2,11,21,0,3,8,19,7,16,22,0,6,11,14,31,0,3,0,17,16,0,18,21,2,6,7,21,0,6,17,0,18,21,2,5,7,21,1,10,0,17,16,17,0,15,16,21,2,56,0,12,7,31,0,5,17,21,2,29,0,8,7,0,23,17,0,5,0,100,17,14,21,0,6,21,2,43,16,22,0,7,11,14,21,0,7,21,2,27,16,0,17,16,0,18,21,0,6,21,1,8,0,6,7,0,22,17,21,2,36,21,0,7,17,21,2,12,0,16,8,21,2,12,0,7,8,7,16,22,0,8,11,14,31,0,8,0,18,21,2,5,7,21,1,12,17,21,2,56,0,6,7,21,0,7,0,18,31,0,6,21,2,12,0,16,8,21,2,12,0,8,8,7,21,1,12,17,17,22,1,12,12,14,31,0,7,0,18,0,6,21,2,11,21,0,4,21,2,12,0,8,8,8,7,21,1,11,17,22,1,11,12,14,31,0,4,0,8,22,1,10,13,25,21,0,4,0,16,21,0,1,17,0,16,21,0,2,17,25,21,2,36,21,2,11,21,1,7,0,7,21,1,6,17,0,17,16,0,18,0,6,21,2,11,21,1,7,8,7,16,8,22,0,3,11,14,21,1,5,0,16,0,22,17,21,0,3,16,22,0,4,11,14,21,1,5,0,18,31,0,3,21,2,56,0,12,7,21,0,4,19,21,2,29,0,8,7,9,7,16,21,2,29,0,8,7,0,23,17,0,5,0,101,17,14,21,0,4,21,2,29,0,8,7,16,22,0,5,11,0,17,16,0,15,31,0,4,17,22,0,6,11,14,21,0,6,0,18,21,2,6,7,21,0,1,17,21,1,13,31,0,6,0,18,0,6,21,2,11,0,8,21,2,11,31,0,5,8,8,7,21,0,2,17,17,25,21,0,2,0,12,16,21,2,21,0,23,17,0,5,21,1,6,17,14,21,0,2,21,2,17,16,22,0,2,12,14,21,0,2,0,18,21,2,15,7,16,21,2,29,0,8,7,0,23,17,0,5,21,1,7,17,14,21,0,2,21,2,27,16,22,0,3,11,14,21,0,1,21,2,65,16,21,2,27,21,2,12,21,2,23,8,21,2,13,15,232,8,21,0,3,17,22,0,4,11,14,15,233,22,0,5,11,14,0,22,21,2,22,16,22,0,6,11,14,0,23,22,0,7,11,14,15,234,22,0,8,11,14,0,22,22,0,9,11,14,21,0,3,0,17,16,0,18,21,0,2,21,2,12,0,16,8,15,235,21,1,4,15,236,7,31,0,8,21,2,6,19,3,2,21,2,4,21,1,3,8,21,0,4,21,2,12,0,16,8,19,7,16,22,0,10,11,14,21,0,1,21,2,20,16,21,2,5,0,20,0,15,21,2,11,21,0,4,8,15,237,3,2,21,2,4,21,0,6,0,12,16,21,2,22,0,22,17,8,8,16,25,21,0,1,0,12,16,0,13,21,1,3,17,0,5,0,115,17,14,21,0,2,0,18,21,2,16,7,16,21,2,29,0,8,7,16,0,5,0,116,17,14,21,0,1,21,2,65,16,22,0,3,11,14,21,1,3,0,17,16,0,18,21,0,2,21,2,12,0,16,8,0,7,21,0,3,21,2,12,0,16,8,19,0,6,0,23,19,7,16,22,0,4,11,14,21,0,4,0,18,0,13,21,2,11,0,22,8,7,16,21,2,29,0,8,7,16,0,5,0,117,17,14,21,0,3,21,2,36,21,1,3,0,7,21,2,11,21,2,27,8,21,0,3,17,0,17,16,0,18,0,6,21,2,11,21,1,3,8,7,16,17,22,0,5,11,21,2,29,0,8,7,0,23,17,22,0,6,11,14,0,23,0,7,21,1,3,17,15,238,16,21,2,34,21,0,6,3,1,17,0,19,0,8,7,16,21,2,46,16,22,0,7,11,14,21,0,2,21,2,5,21,2,56,15,239,7,31,0,7,19,21,2,29,0,18,0,6,7,7,9,21,2,10,0,18,0,6,7,8,31,0,4,17,0,23,21,2,12,0,12,8,0,7,0,23,19,21,2,13,21,2,8,0,17,0,15,31,0,5,19,21,2,12,0,18,0,6,7,8,7,8,31,0,6,17,0,18,21,0,1,0,15,16,21,2,12,0,16,8,7,16,25,21,0,1,0,12,16,0,13,0,23,17,0,5,0,118,17,14,21,0,1,21,1,3,21,0,2,17,25,21,0,2,0,12,16,21,2,21,0,23,17,0,5,0,119,17,14,21,0,1,21,2,65,16,21,2,27,21,2,10,0,13,8,21,0,2,17,0,5,0,120,17,14,21,0,2,21,2,27,16,22,0,3,11,14,21,0,2,0,15,16,21,2,12,0,16,8,22,0,4,11,14,21,0,1,21,0,3,21,2,22,0,22,17,21,2,13,15,240,8,0,22,17,25,21,0,1,21,2,56,21,2,5,0,23,3,2,21,2,4,21,2,6,8,7,21,1,4,17,21,2,29,21,2,91,7,0,23,17,22,0,3,11,14,21,0,3,21,2,92,0,22,17,0,5,0,126,17,14,21,1,4,21,2,94,16,0,17,16,21,2,91,21,1,4,17,21,2,29,21,2,98,7,0,22,17,22,0,4,11,14,21,1,3,0,16,31,0,4,17,21,2,102,16,22,0,5,11,14,0,31,21,2,92,21,0,5,17,0,5,0,127,17,14,21,2,95,21,2,11,21,2,87,8,0,5,0,128,19,21,2,6,21,2,5,19,22,0,6,11,14,21,0,3,21,2,83,21,1,7,17,31,0,6,21,2,87,21,2,88,3,3,21,2,4,21,0,5,21,2,87,0,24,17,8,16,22,0,7,11,14,21,1,3,21,2,56,21,2,5,21,0,7,3,2,21,2,4,21,2,6,8,7,21,1,4,17,22,1,3,12,14,31,0,7,21,2,91,31,0,3,17,31,0,5,21,2,95,0,26,17,21,2,13,21,2,92,21,2,11,21,1,7,8,21,2,13,15,241,8,8,16,25,21,1,8,0,17,16,0,18,21,2,6,7,21,2,11,0,1,21,2,9,21,2,92,8,8,15,242,3,2,21,2,4,21,1,7,21,2,92,0,22,17,8,21,0,1,17,25,21,0,1,21,2,16,16,0,5,0,129,17,14,21,0,1,0,17,16,25,21,0,1,21,2,95,16,21,2,95,0,23,17,0,5,0,130,17,14,21,0,1,0,18,21,1,3,7,16,21,2,29,0,18,21,2,34,21,2,11,21,2,104,8,7,7,3,0,21,2,92,16,17,0,1,21,0,1,0,18,0,22,7,16,17,25,21,1,9,21,1,7,21,2,98,21,0,4,17,7,22,0,5,11,14,21,0,1,21,2,56,21,0,5,7,21,2,6,21,2,9,0,18,21,0,1,21,2,12,21,0,5,8,7,8,21,2,5,21,2,9,0,18,21,2,5,31,0,5,21,0,2,19,7,8,21,1,8,3,4,21,2,4,21,2,64,21,2,10,21,2,18,8,21,2,96,21,0,4,21,2,88,0,22,17,19,21,2,90,0,22,21,2,96,21,0,4,17,21,2,89,21,1,7,17,19,21,2,103,0,24,19,21,2,29,21,2,98,21,2,11,0,24,21,2,12,21,2,91,8,8,7,9,8,21,0,2,17,25,21,0,1,21,2,65,16,21,2,36,21,0,2,0,17,16,17,22,0,3,11,14,21,0,1,21,2,33,21,0,2,17,22,0,4,11,21,2,29,21,2,91,7,0,23,17,22,0,5,11,14,21,0,5,0,17,16,21,2,104,31,0,4,17,22,0,6,11,14,21,0,1,15,243,0,20,21,2,7,21,0,3,21,2,29,21,2,91,7,0,23,17,0,17,16,0,18,21,2,5,21,2,91,31,0,5,19,21,2,98,21,0,6,19,21,2,8,21,2,36,7,21,0,1,21,2,104,16,19,7,16,21,2,104,31,0,3,17,7,8,16,25,21,0,1,21,2,65,16,21,2,75,0,23,17,22,0,3,11,14,15,244,22,0,4,11,14,21,1,5,21,2,7,21,0,1,7,21,2,104,31,0,4,19,21,2,164,21,2,12,21,2,103,8,3,2,21,2,4,21,2,5,21,2,9,21,2,32,21,2,9,21,2,100,8,8,8,31,0,3,17,25,21,0,1,21,2,81,21,2,92,7,16,21,2,29,21,1,5,7,21,0,2,17,25,21,0,2,21,2,95,21,1,4,17,25,21,1,3,21,2,98,22,1,4,13,14,21,0,1,21,2,98,0,23,17,25,21,2,5,21,1,5,21,0,1,0,16,21,0,2,17,19,22,1,5,12,14,21,0,1,21,2,115,21,0,2,17,25,21,0,1,14,21,1,7,0,16,21,1,8,17,21,2,5,0,23,21,2,98,21,1,8,17,22,1,8,12,17,25,21,0,1,21,2,104,16,21,1,3,16,0,18,21,0,1,21,2,65,16,21,2,117,16,21,2,104,16,21,2,12,21,2,36,8,7,16,25,21,0,1,21,2,94,21,2,10,21,2,99,8,21,0,2,17,21,2,91,16,22,0,3,11,14,21,0,1,21,2,94,21,2,10,21,2,87,8,21,0,2,17,22,0,4,11,14,21,0,1,15,245,21,2,11,21,2,94,21,2,98,21,0,4,21,2,117,16,21,2,98,0,23,17,21,2,99,16,19,8,21,2,10,15,246,8,21,0,2,17,22,0,5,11,14,31,0,5,21,0,3,3,2,25,21,0,2,22,0,3,11,14,21,0,1,22,0,4,11,14,15,247,21,1,7,3,2,21,2,4,21,2,95,21,2,11,21,1,6,8,8,22,0,5,11,14,0,22,21,0,5,16,25,15,248,22,0,3,11,14,0,28,21,0,3,0,23,21,2,98,21,0,1,17,17,21,2,98,0,23,17,25,21,0,2,21,2,130,21,0,1,21,2,12,21,1,13,8,7,16,25,21,0,2,21,2,95,16,21,2,8,21,2,99,7,0,23,17,22,0,3,11,14,21,0,3,21,2,97,0,22,17,0,5,0,153,17,14,21,0,1,21,2,95,16,21,2,97,21,0,3,17,0,5,0,154,17,14,21,0,1,21,2,20,16,21,2,5,21,2,9,21,0,3,21,2,133,0,22,8,8,21,2,5,21,0,3,21,2,133,21,2,92,8,3,2,21,2,4,21,0,3,21,2,92,0,22,17,8,21,2,10,0,18,21,2,65,7,8,21,1,3,9,3,2,21,2,4,21,0,2,21,2,94,16,21,2,92,0,22,17,8,15,249,3,2,21,2,4,21,2,104,21,2,9,21,2,94,8,21,2,92,0,27,19,21,2,10,21,2,89,8,8,21,0,2,17,25,21,0,1,25,21,0,1,21,2,15,16,0,5,0,163,17,14,21,0,1,21,2,87,21,1,8,17,22,1,8,12,14,21,0,1,21,2,88,21,1,7,17,22,1,7,12,25,15,250,21,2,7,21,0,2,7,7,25,21,2,6,21,0,1,9,25,21,0,1,21,2,117,16,21,2,142,21,1,10,17,0,19,21,0,2,7,16,25,21,0,2,21,0,1,16,25,21,0,2,21,2,29,21,0,1,7,16,25,21,0,2,21,2,173,21,0,1,8,25,21,2,5,21,2,156,21,2,8,21,0,2,7,7,21,0,1,19,25,21,2,5,21,2,156,21,1,4,7,21,0,2,19,15,251,21,2,156,21,0,1,7,8,25,21,2,5,21,2,156,21,2,8,21,1,4,7,7,21,0,1,19,21,2,156,21,0,2,7,9,25,21,0,1,21,2,168,21,0,2,8,21,2,173,21,0,1,8,25,21,0,1,21,2,2,21,0,4,17,25,21,0,4,21,2,2,21,0,1,17,25,21,0,2,22,0,3,11,0,7,16,22,0,4,11,14,0,22,22,0,5,11,22,0,6,11,22,0,7,11,14,0,26,22,0,8,11,14,21,0,1,0,23,0,12,21,2,7,17,0,7,0,23,17,21,3,13,0,18,0,8,21,3,11,21,2,7,8,7,8,16,21,3,12,0,16,8,21,3,10,21,1,5,8,22,0,9,11,14,21,0,9,0,22,0,23,0,24,3,4,22,0,10,11,14,0,6,15,252,3,2,0,16,21,0,3,0,13,0,27,17,17,22,0,11,11,14,15,253,22,0,12,11,14,15,254,15,255,31,0,12,3,3,21,3,4,15,256,8,22,0,13,11,14,21,0,1,0,18,21,0,1,21,3,12,15,257,8,7,16,25,21,1,6,21,1,7,0,12,21,0,1,17,21,3,13,15,258,8,16,25,0,22,21,0,1,3,2,21,3,4,21,0,2,8,25,21,0,0,0,22,3,2,25,21,0,2,22,0,3,11,14,21,0,1,21,3,56,0,15,7,16,22,0,4,11,0,16,0,22,17,21,3,27,16,22,0,5,11,14,0,28,22,0,6,11,14,31,0,4,21,3,12,21,3,56,0,16,7,8,21,3,12,21,1,5,8,22,0,7,11,14,15,259,25,21,0,1,15,260,0,18,21,0,0,7,3,2,21,3,4,21,3,14,8,16,25,21,0,1,21,1,7,16,22,0,3,22,0,4,4,2,11,14,31,0,3,22,1,7,12,14,31,0,4,25,21,0,1,21,3,14,0,7,0,23,19,21,3,13,21,3,22,8,16,22,0,1,12,14,21,0,1,0,14,16,22,0,3,11,21,3,29,0,8,7,0,23,17,22,0,4,11,14,21,0,2,0,18,0,16,21,3,11,0,22,8,7,16,22,0,5,11,14,21,0,5,0,22,21,3,42,21,3,39,8,16,22,0,6,11,14,21,0,6,0,18,21,0,2,21,3,12,0,16,8,0,16,0,23,19,7,16,22,0,7,11,14,21,3,7,31,0,5,7,0,16,21,0,6,21,3,12,0,16,8,19,21,0,4,3,2,21,3,4,0,13,21,3,11,31,0,6,21,3,27,16,8,8,22,0,8,11,14,0,22,22,0,9,11,21,0,8,16,22,0,10,11,14,31,0,4,0,17,16,0,18,21,0,1,0,15,16,21,3,12,0,16,8,15,261,3,2,21,3,4,15,262,8,7,16,0,15,31,0,3,17,25,21,0,1,21,3,56,21,3,6,0,12,21,0,1,21,0,5,16,19,21,3,13,21,0,4,8,7,21,0,1,21,3,27,16,0,17,16,17,25,21,0,1,0,15,21,3,9,21,3,7,21,2,7,7,0,16,21,0,2,19,21,1,4,21,0,0,21,3,11,21,0,2,0,6,0,23,17,8,8,8,0,15,0,14,19,21,1,3,3,2,21,3,4,21,2,7,21,3,27,16,21,3,21,21,0,2,17,8,16,25,21,0,1,3,1,3,0,21,3,34,3,2,21,3,4,21,3,6,21,3,14,9,8,21,1,6,17,22,1,6,12,25,21,0,1,21,2,7,21,1,6,8,25,21,0,4,21,0,1,21,0,2,17,25,0,22,21,3,7,21,1,3,21,0,1,7,7,16,21,2,16,16,25,0,22,21,3,7,21,0,2,21,1,3,21,0,1,8,7,16,21,2,16,16,25,21,0,1,22,2,4,12,21,3,8,0,16,7,21,2,6,17,22,2,5,12,14,0,28,22,2,3,12,25,21,1,5,22,0,3,11,14,21,0,1,21,1,6,22,1,5,13,14,31,0,3,25,21,0,1,21,3,34,21,0,1,21,3,27,16,0,7,21,0,2,17,0,17,21,3,9,0,18,0,23,7,8,16,17,25,21,0,1,0,18,0,6,7,21,0,2,0,18,21,0,4,21,3,12,0,8,8,7,16,17,25,21,0,1,0,23,21,3,12,0,12,8,0,7,0,23,19,21,3,13,21,1,5,21,0,2,7,21,3,11,0,17,8,8,21,1,7,17,21,1,5,21,0,2,0,8,21,1,7,17,7,22,1,6,13,14,0,23,22,1,7,12,14,21,0,1,21,3,27,16,25,21,0,2,0,8,22,1,7,13,14,21,0,2,25,21,0,1,14,0,23,22,1,9,12,25,21,1,3,0,7,21,1,4,21,3,27,16,17,0,17,16,0,18,0,6,21,3,11,21,1,3,8,21,3,8,0,16,7,21,1,4,19,7,16,22,0,3,11,21,3,34,22,1,10,13,14,31,0,3,21,3,29,0,8,7,21,1,7,17,0,12,21,3,11,0,23,8,0,7,0,23,19,21,3,13,15,263,8,16,14,21,0,1,0,15,16,21,3,12,0,16,8,22,0,4,11,14,21,1,9,21,3,5,21,3,13,15,264,8,21,0,1,17,14,21,1,6,0,15,21,1,10,17,0,18,21,0,4,7,16,25,21,0,1,0,17,16,0,18,0,7,21,3,11,21,0,1,8,21,3,8,0,16,7,21,1,3,19,7,16,25,21,0,1,0,17,16,0,18,0,8,21,3,11,21,0,2,8,7,16,25,21,0,1,0,23,0,7,21,1,3,17,21,3,22,21,0,2,17,21,3,13,21,3,81,21,0,0,21,3,11,21,0,2,0,6,0,23,17,8,7,8,16,21,2,3,21,0,2,21,1,4,16,17,25,21,2,7,21,3,99,21,0,1,17,0,17,16,0,18,21,2,6,0,1,16,7,16,21,3,34,22,2,6,13,14,21,2,7,25,21,0,1,21,3,86,21,2,7,17,0,18,21,2,6,21,3,12,0,16,8,7,16,25,21,1,6,0,18,21,0,1,21,3,92,16,7,16,25,21,0,2,21,3,94,16,21,3,92,0,22,17,0,5,0,135,17,14,21,0,2,21,3,94,16,0,17,16,21,3,92,0,22,17,21,3,91,21,0,2,17,25,21,0,2,0,18,21,0,1,21,3,12,0,16,8,7,16,25,21,0,1,21,3,95,21,0,2,17,0,19,21,3,89,7,16,21,3,29,21,3,98,7,0,22,17,22,0,3,11,14,21,0,3,21,3,117,16,0,18,21,0,2,21,3,12,0,16,8,7,16,21,3,29,21,3,91,7,0,23,17,22,0,4,11,14,31,0,3,21,3,93,21,3,11,21,1,4,8,21,3,13,21,0,2,21,0,1,3,2,21,3,12,21,3,56,0,16,7,8,21,3,9,15,265,8,8,16,14,21,0,4,25,21,1,4,21,3,98,21,3,11,21,0,1,8,21,3,10,21,2,5,8,21,1,3,17,21,3,95,21,3,11,0,22,8,21,3,13,21,0,1,21,3,98,0,23,17,21,3,9,21,1,5,8,8,16,25,21,0,1,0,23,21,3,12,21,3,93,8,21,3,13,15,266,8,21,0,2,17,25,21,0,2,21,3,135,16,21,3,118,16,22,0,3,11,14,21,0,1,21,3,134,21,0,2,21,3,36,21,0,3,17,17,21,3,8,21,3,99,7,0,23,17,21,3,88,0,22,17,21,3,8,21,3,36,7,31,0,3,17,22,0,4,11,14,21,0,1,21,1,3,21,3,133,21,3,64,8,21,0,2,21,3,36,21,0,4,17,17,21,2,2,21,3,13,21,3,91,21,3,11,21,3,99,21,3,11,31,0,4,8,8,21,3,98,21,3,6,19,8,21,0,2,21,3,94,16,17,25,21,3,6,21,0,1,21,0,4,19,25,21,0,1,21,0,5,16,21,0,4,21,0,2,17,25,21,0,1,21,1,8,0,7,0,23,17,21,4,13,21,1,9,0,7,0,23,19,21,4,13,15,267,8,8,0,23,0,7,21,0,1,17,17,25,21,0,2,0,6,21,1,3,17,22,1,4,12,14,21,0,1,0,6,21,1,3,17,22,1,7,12,21,2,6,16,22,1,6,12,0,6,21,1,3,17,21,2,6,16,22,1,5,12,14,21,1,7,0,13,21,3,6,17,22,1,8,12,14,21,1,6,21,1,11,16,14,21,1,7,21,1,13,21,1,4,17,25,21,0,2,0,6,0,23,17,22,1,4,12,0,12,21,1,6,17,0,8,0,24,17,0,6,22,1,8,13,14,21,0,2,25,21,0,1,0,6,0,23,17,22,1,7,12,0,12,21,1,5,17,0,6,22,1,8,13,14,21,0,1,25,21,0,1,21,1,10,21,4,4,21,1,8,8,21,0,2,17,25,21,0,1,0,16,21,1,7,21,1,13,21,1,4,17,17,25,0,23,0,6,21,0,1,17,21,2,4,16,22,2,6,12,21,2,5,16,22,2,7,12,14,21,2,6,25,0,23,0,6,22,1,6,13,14,21,1,6,21,1,7,21,4,11,21,4,7,21,0,0,7,8,21,4,7,21,1,3,7,3,2,21,4,4,0,13,21,4,11,21,1,5,8,8,16,22,0,3,11,14,0,22,31,0,3,16,25,21,0,1,14,0,23,0,6,22,2,6,13,25,21,0,1,14,21,1,7,0,16,21,1,9,17,22,0,3,11,14,0,22,15,268,16,22,1,10,12,14,21,0,3,25,21,0,1,0,12,21,1,10,17,25,21,0,1,0,17,16,21,2,5,21,0,1,7,22,2,6,13,25,21,4,7,21,0,2,0,1,16,7,21,1,4,3,2,21,4,4,0,13,21,4,11,0,22,8,8,22,1,4,12,25,21,0,1,21,4,29,21,4,99,7,16,21,4,91,16,22,2,3,12,14,21,0,1,21,4,29,21,4,87,7,16,21,4,91,21,1,4,17,22,1,4,12,25,0,24,21,4,83,21,0,2,17,21,4,87,16,22,0,3,11,21,4,98,21,0,1,17,22,0,4,11,21,3,2,16,22,0,5,11,14,21,0,1,31,0,4,3,2,0,16,21,0,5,17,21,2,3,21,0,2,21,4,86,0,24,17,21,4,91,31,0,5,17,21,4,98,31,0,3,17,17,25,21,0,1,14,0,24,22,2,8,12,14,21,2,4,22,2,7,12,14,21,0,1,22,2,4,12,25,21,2,9,0,6,0,23,17,22,2,9,12,21,2,8,16,21,5,5,0,12,21,2,10,19,21,5,13,15,269,21,5,9,21,0,0,8,8,16,25,21,0,1,14,21,3,7,0,16,21,3,9,17,21,6,62,21,2,3,17,0,5,0,96,17,25]
+  [0,80,22,0,0,11,14,15,1,22,0,1,11,14,15,2,22,0,2,11,14,15,3,22,0,3,11,14,15,4,22,0,4,11,14,15,5,22,0,5,11,14,15,6,0,21,15,7,8,22,0,6,11,14,15,8,22,0,7,11,14,15,9,22,0,8,11,14,15,10,22,0,9,11,14,15,11,22,0,10,11,14,15,12,22,0,11,11,14,15,13,22,0,12,11,14,15,14,22,0,13,11,14,0,0,0,12,0,22,19,22,0,14,11,14,0,22,0,12,21,0,11,0,11,8,3,2,21,0,4,0,0,0,12,0,23,19,8,22,0,15,11,14,0,22,0,12,21,0,11,0,11,8,0,8,0,13,21,0,11,0,22,8,19,3,2,21,0,4,0,0,0,12,0,23,19,8,22,0,16,11,14,15,15,0,15,3,2,21,0,4,21,0,14,8,22,0,17,11,14,15,16,0,21,15,17,8,22,0,18,11,14,15,18,22,0,19,11,14,21,0,14,0,7,0,23,19,21,0,13,21,0,19,8,22,0,20,11,14,21,0,8,0,13,7,22,0,21,11,14,21,0,21,0,7,0,23,19,0,21,21,0,19,8,22,0,22,11,14,0,13,0,7,0,23,19,22,0,23,11,14,15,19,0,16,21,0,23,19,0,21,0,11,8,22,0,24,11,14,15,20,0,16,21,0,22,19,0,21,0,7,21,0,9,21,0,24,21,0,9,0,7,8,8,8,22,0,25,11,14,0,7,21,0,5,3,2,21,0,4,0,13,21,0,11,0,22,8,8,22,0,26,11,14,0,23,0,14,0,16,0,22,19,3,2,21,0,4,0,12,21,0,22,0,22,19,8,22,0,27,11,14,15,21,22,0,28,11,14,31,0,28,22,0,29,11,14,15,22,22,0,30,11,14,15,23,22,0,31,11,14,15,24,0,12,0,34,21,0,30,21,0,0,7,16,19,22,0,32,11,14,0,14,21,0,12,15,25,8,22,0,33,11,14,15,26,22,0,34,11,14,21,0,5,0,20,15,27,15,28,3,2,21,0,4,21,0,5,21,0,9,0,12,8,0,12,0,23,19,8,8,22,0,35,11,14,21,0,35,22,0,36,11,14,15,29,22,0,37,11,14,15,30,22,0,38,11,14,0,13,0,7,21,0,21,19,22,0,39,11,14,0,23,0,15,0,16,0,22,19,21,0,12,0,13,0,8,0,24,19,0,7,0,23,19,15,31,3,2,21,0,4,21,0,5,21,0,9,21,0,14,8,8,8,3,2,21,0,4,21,0,5,21,0,9,0,14,8,21,0,29,0,8,7,0,23,19,21,0,22,0,22,19,8,22,0,40,11,14,21,0,39,21,0,40,21,0,8,21,0,40,7,0,7,9,3,2,21,0,4,21,0,6,21,0,9,21,0,14,8,8,15,32,3,3,21,0,4,21,0,14,21,0,10,0,6,8,8,22,0,41,11,14,15,33,22,0,42,11,14,15,34,22,0,43,11,14,21,0,20,21,0,5,0,20,15,35,8,3,2,21,0,4,0,12,21,0,22,0,22,19,8,22,0,44,11,14,15,36,21,0,13,21,0,5,0,20,15,37,8,8,22,0,45,11,14,15,38,22,0,46,11,14,15,39,22,0,47,11,14,15,40,22,0,48,11,14,15,41,22,0,49,11,14,15,42,22,0,50,11,14,15,43,22,0,51,11,14,15,44,22,0,52,11,14,21,0,17,0,1,0,16,21,0,11,0,22,8,3,2,21,0,4,21,0,27,21,0,22,0,22,19,8,9,22,0,53,11,14,15,45,22,0,54,11,14,15,46,22,0,55,11,14,15,47,22,0,56,11,14,15,48,22,0,57,11,14,0,22,0,12,21,0,11,21,0,7,21,0,57,7,8,3,2,21,0,4,0,0,0,12,0,26,19,8,22,0,58,11,14,15,49,22,0,59,11,14,21,0,5,21,0,5,21,0,5,21,0,29,15,50,7,9,15,51,15,52,15,53,3,6,21,0,4,21,0,6,8,22,0,60,11,14,15,54,22,0,61,11,14,21,0,14,21,0,10,0,12,8,0,22,3,2,21,0,5,21,0,9,21,0,14,8,0,12,3,2,0,12,21,0,10,0,12,8,0,22,3,2,0,14,21,0,10,21,0,56,0,12,7,8,21,0,29,0,8,7,0,23,19,0,22,3,2,15,55,3,5,21,0,29,15,56,7,16,22,0,62,11,14,0,22,15,57,3,2,21,0,4,21,0,14,8,22,0,63,11,14,21,0,62,0,21,21,0,63,8,22,0,64,11,14,21,0,62,0,7,0,23,19,0,21,3,0,0,14,3,2,21,0,4,21,0,14,8,8,22,0,65,11,14,21,0,64,21,0,9,0,5,8,21,0,6,21,0,5,19,22,0,66,11,14,0,15,21,0,9,0,1,0,20,21,0,5,8,21,0,29,21,0,66,0,20,21,0,5,8,7,3,2,21,0,4,21,0,27,21,0,22,0,22,19,8,8,22,0,67,11,14,15,58,22,0,68,11,14,21,0,14,21,0,13,21,0,34,21,0,68,15,59,8,8,22,0,69,11,14,15,60,22,0,70,11,14,15,61,22,0,71,11,14,21,0,14,0,5,0,103,19,21,0,6,15,62,31,0,68,21,0,69,21,0,71,31,0,70,3,2,21,0,4,0,18,0,12,0,12,0,23,19,7,21,0,29,0,8,7,0,23,19,8,31,0,71,3,3,21,0,4,0,12,21,0,24,0,24,19,8,8,19,22,0,72,11,14,15,63,22,0,73,11,14,21,0,73,0,108,21,0,26,21,0,12,0,12,8,0,7,0,23,19,15,64,3,3,7,22,0,74,11,14,31,0,73,0,109,0,12,21,0,11,0,22,8,0,7,0,23,19,15,65,3,3,7,22,0,75,11,14,15,66,22,0,76,11,14,15,67,22,0,77,11,14,15,68,22,0,78,11,14,15,69,22,0,79,11,14,15,70,22,0,80,11,14,15,71,22,0,81,11,14,15,72,22,0,82,11,14,21,0,38,0,9,7,22,0,83,11,14,21,0,38,0,10,7,22,0,84,11,14,21,0,8,21,0,83,21,0,12,21,0,84,8,7,0,21,0,24,21,0,83,16,21,0,12,21,0,84,8,8,22,0,85,11,14,21,0,38,15,73,0,21,21,0,26,8,7,22,0,86,11,14,21,0,38,15,74,0,21,21,0,24,8,7,22,0,87,11,14,21,0,38,15,75,0,21,0,7,21,0,9,21,0,87,21,0,9,0,7,8,8,8,7,22,0,88,11,14,21,0,38,0,8,7,0,21,21,0,50,0,22,7,8,22,0,89,11,14,21,0,38,0,8,0,7,0,6,19,7,0,21,31,0,50,0,23,7,8,22,0,90,11,14,21,0,38,0,8,0,21,21,0,23,0,7,21,0,22,19,21,0,11,0,22,8,8,7,22,0,91,11,14,21,0,38,21,0,21,0,7,0,23,19,7,0,21,31,0,19,8,22,0,92,11,14,21,0,38,0,13,0,7,0,23,19,7,0,21,31,0,69,8,22,0,93,11,14,21,0,38,0,12,0,7,0,23,19,7,0,21,21,0,27,8,22,0,94,11,14,21,0,38,0,12,7,0,21,0,12,8,22,0,95,11,14,21,0,38,21,0,21,7,0,21,21,0,7,0,22,7,0,5,0,121,19,8,22,0,96,11,14,21,0,38,0,13,7,0,21,21,0,7,0,22,7,0,5,0,122,19,8,22,0,97,11,14,21,0,38,0,6,7,22,0,98,11,14,21,0,38,0,7,7,22,0,99,11,14,21,0,99,21,0,98,0,23,19,22,0,100,11,14,21,0,6,21,0,95,21,0,95,21,0,94,21,0,64,21,0,65,3,4,19,21,0,29,21,0,98,7,9,21,0,13,15,76,8,22,0,101,11,14,0,29,0,17,16,21,0,31,0,123,8,22,0,102,11,14,15,77,22,0,103,11,14,0,15,0,21,21,0,17,8,22,0,104,11,14,15,78,22,0,105,11,14,15,79,22,0,106,11,14,15,80,22,0,107,11,14,15,81,22,0,108,11,14,15,82,22,0,109,11,14,15,83,22,0,110,11,14,31,0,110,22,0,111,11,14,21,0,66,0,20,21,0,104,21,0,10,21,0,34,8,15,84,3,2,21,0,4,21,0,95,21,0,92,0,23,19,21,0,10,21,0,90,8,8,8,22,0,112,11,14,21,0,36,21,0,11,21,0,43,8,22,0,113,11,14,21,0,5,0,20,21,0,94,21,0,95,0,22,19,21,0,99,0,23,19,21,0,82,15,85,15,86,3,2,21,0,4,21,0,6,21,0,9,21,0,95,8,21,0,92,0,22,19,8,8,8,22,0,114,11,14,31,0,74,0,21,31,0,48,8,22,0,115,11,14,21,0,75,0,21,31,0,49,8,22,0,116,11,14,31,0,80,0,21,31,0,105,8,22,0,117,11,14,0,22,21,0,82,31,0,47,8,0,21,21,0,46,8,22,0,118,11,14,31,0,114,0,21,21,0,43,8,22,0,119,11,14,21,0,66,0,21,21,0,5,8,0,20,21,0,77,0,21,31,0,77,21,0,11,21,0,79,8,8,8,22,0,120,11,14,21,0,66,0,21,21,0,5,8,0,20,21,0,78,0,21,31,0,78,21,0,11,31,0,79,8,8,8,22,0,121,11,14,15,87,22,0,122,11,14,15,88,22,0,123,11,14,15,89,22,0,124,11,14,15,90,22,0,125,11,14,31,0,125,15,91,3,2,21,0,4,21,0,6,21,0,9,21,0,104,21,0,9,0,18,21,0,14,7,8,8,21,0,29,21,0,90,7,0,22,19,8,22,0,126,11,14,21,0,126,21,0,11,21,0,104,21,0,5,3,2,21,0,4,21,0,14,8,8,22,0,127,11,14,15,92,22,0,128,11,14,15,93,22,0,129,11,14,15,94,22,0,130,11,14,15,95,22,0,131,11,14,31,0,108,22,0,132,11,14,21,0,109,22,0,133,11,14,21,0,131,21,0,41,7,0,21,0,22,21,0,42,21,0,41,8,8,22,0,134,11,14,31,0,131,21,0,8,21,0,41,7,7,0,21,0,23,21,0,42,21,0,8,21,0,41,7,8,8,22,0,135,11,14,15,96,22,0,136,11,14,0,4,21,0,11,21,0,56,0,23,7,8,22,0,137,11,14,15,97,22,0,138,11,14,21,0,138,21,0,5,21,0,9,0,19,21,0,98,7,8,21,0,8,21,0,99,7,0,23,19,21,0,8,21,0,36,7,21,0,8,21,0,119,21,0,9,21,0,134,21,0,9,21,0,137,8,8,7,19,7,22,0,139,11,14,21,0,20,21,0,10,15,98,8,22,0,140,11,14,31,0,66,0,21,21,0,5,8,0,20,21,0,18,21,0,9,21,0,93,8,8,22,0,141,11,14,31,0,112,0,21,21,0,72,8,22,0,142,11,14,31,0,124,0,21,31,0,123,8,22,0,143,11,14,21,0,136,0,23,7,0,21,31,0,139,8,22,0,144,11,14,21,0,8,31,0,136,0,22,7,7,0,21,31,0,138,21,0,5,7,8,22,0,145,11,14,15,99,22,0,146,11,14,21,0,5,0,20,15,100,8,22,0,147,11,14,15,101,22,0,148,11,14,15,102,22,0,149,11,14,31,0,148,0,21,31,0,44,8,22,0,150,11,14,21,0,134,21,0,9,21,0,134,8,21,0,36,21,0,99,21,0,5,19,21,0,8,21,0,144,7,19,0,1,0,22,19,22,0,151,11,14,15,103,0,1,0,22,19,22,0,152,11,14,21,0,5,0,20,0,23,31,0,82,31,0,52,8,21,0,11,21,0,20,8,0,21,31,0,51,8,8,22,0,153,11,14,21,0,127,0,21,31,0,53,8,22,0,154,11,14,15,104,22,0,155,11,14,15,105,22,0,156,11,14,15,106,22,0,157,11,14,31,0,157,22,0,158,11,14,21,0,103,0,21,21,0,17,8,22,0,159,11,14,31,0,59,22,0,160,11,14,31,0,152,0,21,21,0,151,8,22,0,161,11,14,31,0,140,0,21,21,0,119,21,0,11,21,0,145,8,8,22,0,162,11,14,15,107,22,0,163,11,14,0,35,0,22,0,36,0,22,0,37,0,23,0,38,0,23,0,39,0,23,0,40,0,23,0,41,0,32,0,42,0,30,0,43,0,22,0,44,0,23,0,45,0,22,0,46,0,23,0,47,0,22,0,48,0,23,3,28,21,0,163,21,0,7,0,22,7,0,5,0,164,19,8,15,108,9,22,0,164,11,14,0,5,21,0,11,0,165,8,22,0,165,11,14,0,5,21,0,11,0,166,8,22,0,166,11,14,21,0,7,0,22,7,0,5,0,167,19,22,0,167,11,14,15,109,22,0,168,11,14,15,110,22,0,169,11,14,15,111,22,0,170,11,14,0,35,21,0,8,21,0,99,7,0,21,21,0,98,8,0,36,21,0,99,0,37,21,0,8,21,0,83,7,0,21,21,0,5,8,0,38,21,0,83,0,39,21,0,38,0,2,7,0,49,21,0,8,21,0,84,7,0,21,21,0,8,21,0,91,7,8,0,44,21,0,8,21,0,83,7,0,21,21,0,89,21,0,168,21,0,5,8,8,0,43,21,0,6,21,0,99,0,23,19,21,0,83,21,0,8,21,0,99,7,19,0,21,21,0,90,21,0,168,21,0,5,8,8,0,40,21,0,100,0,50,0,22,21,0,9,21,0,165,8,0,21,15,112,8,0,51,21,0,5,0,52,21,0,64,21,0,9,21,0,166,8,21,0,6,21,0,5,19,0,21,21,0,5,8,0,34,15,113,0,21,0,22,21,0,9,21,0,165,8,8,0,53,15,114,0,21,15,115,8,0,54,0,22,21,0,9,21,0,165,8,0,21,21,0,115,21,0,168,21,0,154,21,0,11,0,28,8,8,8,0,55,0,22,21,0,9,21,0,165,8,0,21,21,0,116,21,0,168,21,0,154,8,8,0,56,0,22,21,0,9,21,0,165,8,0,21,21,0,117,21,0,168,21,0,65,8,8,0,57,21,0,118,21,0,11,21,0,99,8,0,21,21,0,118,8,0,58,31,0,149,0,21,31,0,45,8,0,59,0,22,21,0,9,21,0,165,8,0,21,15,116,8,0,60,31,0,170,0,21,31,0,169,8,3,42,21,0,163,21,0,167,8,22,0,171,11,14,15,117,22,0,172,11,14,15,118,22,0,173,11,14,15,119,21,0,10,15,120,8,22,0,174,11,14,0,35,21,0,8,21,0,99,7,0,21,0,24,21,0,12,21,0,83,8,8,0,36,21,0,98,0,21,0,22,21,0,9,21,0,165,8,8,0,37,21,0,8,21,0,83,7,0,21,21,0,85,8,0,38,21,0,91,0,21,0,22,21,0,9,21,0,165,8,8,0,39,21,0,85,0,21,0,22,21,0,9,21,0,165,8,8,0,49,0,2,21,0,83,9,0,21,0,22,21,0,9,21,0,165,8,8,0,44,21,0,8,21,0,83,7,0,21,21,0,85,8,0,43,21,0,6,21,0,99,0,23,19,21,0,83,21,0,8,21,0,99,7,19,0,21,21,0,100,21,0,9,21,0,85,8,21,0,100,9,8,0,40,21,0,7,0,23,7,21,0,99,21,0,98,19,0,21,0,22,21,0,9,21,0,165,8,8,3,18,21,0,163,21,0,167,8,22,0,175,11,14,15,121,0,61,21,0,175,0,62,15,122,0,63,15,123,0,64,15,124,0,65,15,125,21,0,9,15,126,8,3,10,21,0,163,21,0,7,21,0,167,7,8,7,22,0,176,11,14,0,23,15,127,21,0,153,0,22,0,28,3,2,19,21,0,64,0,31,21,0,7,3,2,19,3,2,21,0,155,0,0,21,0,97,0,26,19,8,22,0,177,11,14,15,128,15,129,0,66,21,0,174,0,67,15,130,0,68,15,131,0,69,21,0,7,0,22,21,0,9,21,0,165,8,7,15,132,15,133,3,2,21,0,155,21,0,97,21,0,11,0,22,8,8,3,2,21,0,155,21,0,5,21,0,9,21,0,15,8,8,0,70,15,134,0,71,15,135,15,136,21,0,5,3,2,21,0,155,21,0,6,8,21,0,6,21,0,9,21,0,177,8,19,0,72,15,137,3,14,31,0,163,21,0,7,21,0,167,7,8,7,7,22,0,178,11,14,15,138,22,0,179,11,14,15,139,21,0,116,21,0,11,0,23,8,21,0,5,21,0,154,21,0,9,31,0,171,8,9,21,0,7,21,0,7,0,22,7,0,5,0,168,19,7,21,0,5,21,0,29,31,0,174,7,9,31,0,179,31,0,176,31,0,178,3,6,21,0,155,21,0,6,8,21,0,154,19,9,22,0,180,11,14,15,140,31,0,180,21,0,7,0,22,7,0,5,0,169,19,3,3,21,0,119,0,26,0,23,0,24,3,3,17,21,0,155,0,0,8,22,0,181,11,14,15,141,22,0,182,11,14,0,51,0,52,0,61,0,66,0,67,0,71,0,72,0,70,0,73,3,9,0,46,0,45,0,74,3,3,0,50,0,53,0,56,0,59,0,75,0,76,0,60,3,5,0,77,0,54,0,55,0,57,0,58,0,78,0,79,3,7,3,6,21,0,56,21,0,159,7,16,15,142,16,22,0,183,11,14,21,0,98,21,0,99,21,0,91,21,0,83,31,0,84,31,0,85,21,0,87,21,0,88,21,0,86,21,0,100,21,0,89,21,0,90,21,0,92,21,0,93,21,0,94,21,0,95,21,0,97,21,0,96,21,0,64,21,0,65,21,0,6,21,0,5,31,0,159,21,0,142,21,0,141,21,0,115,21,0,116,21,0,117,31,0,121,21,0,120,21,0,118,31,0,150,21,0,119,21,0,134,21,0,135,21,0,153,21,0,154,21,0,144,31,0,161,21,0,145,31,0,162,21,0,143,0,5,21,0,7,21,0,8,21,0,81,21,0,56,21,0,172,31,0,182,21,0,29,21,0,111,0,19,21,0,9,21,0,10,21,0,11,21,0,12,21,0,160,0,21,21,0,155,21,0,133,21,0,132,21,0,158,3,62,15,143,16,25,0,22,21,0,1,3,2,25,21,0,1,25,21,0,1,22,1,1,22,1,2,4,2,12,25,21,0,1,15,144,21,0,5,0,16,21,0,1,21,0,4,21,0,2,17,17,7,21,0,2,17,25,21,0,1,25,21,0,2,25,21,0,1,25,21,0,1,14,21,0,4,25,21,0,1,21,1,6,21,0,2,17,21,0,4,21,0,1,17,25,21,0,1,21,0,5,21,0,2,17,21,0,4,16,25,21,0,1,21,0,5,16,21,0,4,21,0,2,21,0,5,16,17,25,21,0,1,21,0,5,21,0,1,21,1,6,21,0,2,17,21,0,4,16,17,25,21,0,1,21,0,5,16,21,0,4,21,0,1,21,1,6,21,0,2,17,17,25,21,0,1,15,145,21,1,5,21,0,4,3,2,0,16,21,0,1,21,0,5,21,0,2,17,17,7,21,0,2,17,25,21,0,1,3,1,0,1,21,0,1,17,25,21,0,2,21,0,1,3,2,25,21,0,1,3,1,25,21,0,1,3,1,0,15,3,0,17,0,1,21,0,1,17,25,21,0,2,21,0,1,3,2,25,21,0,2,21,0,1,3,2,25,21,0,1,0,12,16,0,12,0,23,17,0,5,0,81,17,14,21,0,1,22,0,5,11,21,1,27,16,22,0,6,11,14,21,0,4,22,0,7,11,14,21,0,1,21,1,6,0,21,15,146,15,147,3,2,21,1,4,21,0,6,21,1,22,0,22,17,8,8,21,0,2,17,22,0,8,11,14,21,0,6,0,17,16,0,18,0,7,21,1,11,0,23,0,7,21,0,6,17,8,7,16,0,18,15,148,7,16,14,21,0,8,25,21,1,22,0,18,0,12,0,7,0,23,19,7,21,0,1,19,0,19,0,8,7,9,21,1,29,0,6,7,9,25,21,1,7,21,1,0,0,18,21,1,30,21,0,1,7,21,1,8,0,16,7,21,0,2,19,7,16,7,0,16,15,149,19,25,21,0,1,21,1,2,16,25,21,0,2,0,7,21,0,1,21,1,27,16,17,0,17,16,0,18,21,1,7,21,0,1,7,0,16,0,6,21,1,11,21,0,2,8,19,7,16,25,21,0,2,21,1,27,16,22,0,3,11,14,21,0,1,21,1,27,16,0,6,21,0,3,17,0,17,16,0,18,21,0,2,21,1,12,0,16,8,21,1,8,21,0,1,7,0,16,21,0,3,21,1,12,0,7,8,19,3,2,21,1,4,0,13,21,1,11,31,0,3,8,8,7,16,25,21,0,1,21,1,33,0,23,17,22,0,3,11,21,1,29,0,8,7,0,23,17,22,0,4,11,14,21,0,4,0,17,16,0,15,31,0,3,17,0,18,0,6,21,1,11,0,8,21,1,11,31,0,4,8,8,21,1,8,0,16,7,21,0,1,0,15,16,19,7,21,0,2,17,25,21,0,2,0,18,21,0,1,21,1,12,0,16,8,7,16,25,15,150,22,0,2,11,14,15,151,22,0,3,11,14,21,0,3,21,0,1,7,21,1,8,31,0,3,21,1,8,21,0,1,7,7,7,3,2,21,1,4,0,12,21,1,10,21,1,23,8,8,31,0,2,21,0,1,7,3,2,21,1,4,0,12,21,1,10,0,12,8,8,25,15,152,21,0,1,7,22,0,2,11,14,21,0,1,21,0,2,0,20,15,153,15,154,3,2,21,1,4,21,1,14,21,1,10,21,1,23,8,8,0,21,0,18,21,0,2,7,8,8,21,0,2,0,20,21,1,37,21,0,2,7,8,3,3,21,1,4,21,1,14,21,1,10,0,6,8,8,25,21,0,1,21,1,40,21,0,2,17,25,21,0,1,0,14,21,1,10,21,1,128,8,21,0,2,17,22,0,3,11,14,31,0,3,21,1,29,21,1,129,21,0,1,0,15,16,21,1,12,0,16,8,21,1,12,21,1,41,21,1,11,21,0,2,0,15,16,21,1,12,0,16,8,8,8,7,7,16,22,0,4,11,14,0,22,21,1,8,31,0,4,7,16,25,21,0,1,0,12,16,0,13,0,23,17,0,5,0,84,17,14,21,0,1,21,1,27,16,22,0,6,11,14,21,0,1,21,1,33,0,23,17,21,1,29,0,8,7,0,23,17,22,0,7,11,14,21,0,1,0,15,16,22,0,8,11,14,0,22,22,0,9,11,22,0,10,11,14,21,0,8,0,22,0,18,21,1,15,7,21,1,29,0,8,7,0,23,19,3,2,21,1,4,21,0,6,21,1,22,0,25,17,0,8,0,23,0,12,21,0,7,17,17,8,16,21,1,5,21,1,13,21,0,1,21,1,12,15,155,8,8,16,0,7,0,23,17,22,0,11,11,14,21,0,1,0,18,21,0,10,21,1,12,0,7,8,0,7,21,1,11,21,0,9,8,3,2,0,16,21,0,5,17,7,0,4,21,1,11,0,3,8,9,15,156,21,0,4,7,3,2,21,1,4,31,0,11,8,16,0,1,0,22,17,25,21,0,1,0,12,16,0,12,0,23,17,0,5,0,85,17,14,21,0,1,21,1,27,16,22,0,3,11,14,21,0,1,21,0,3,21,1,22,0,22,17,21,1,13,15,157,8,16,0,1,0,22,17,25,21,0,1,21,1,27,16,22,0,3,11,14,21,0,1,21,1,33,0,23,17,22,0,4,11,21,1,29,0,8,7,0,23,17,22,0,5,11,14,31,0,3,0,17,16,0,18,21,1,7,21,0,1,0,15,16,7,0,16,0,8,21,1,11,21,0,5,8,21,1,12,0,6,8,19,7,31,0,5,0,17,16,0,15,31,0,4,17,17,25,21,0,1,21,1,14,16,21,1,166,16,14,21,0,1,0,12,16,21,1,22,0,22,17,25,21,0,1,0,12,16,21,1,8,0,7,7,0,23,17,22,0,3,11,14,21,0,1,0,14,16,22,0,4,11,14,21,0,4,0,16,21,0,3,17,22,0,5,11,14,31,0,3,0,17,16,0,18,31,0,4,21,1,12,0,16,8,7,16,22,0,6,11,14,21,0,6,21,1,29,0,8,7,0,23,17,0,17,16,0,15,31,0,6,17,0,18,21,1,7,21,0,1,0,15,16,7,0,16,0,8,21,1,11,21,0,5,8,21,1,12,0,6,8,19,7,31,0,5,0,17,16,17,25,21,0,1,0,12,16,0,13,0,23,17,0,5,0,87,17,14,21,0,1,21,1,27,16,22,0,3,11,14,21,0,1,21,1,36,21,0,3,0,17,16,0,18,0,7,21,1,11,0,23,0,7,31,0,3,17,8,7,16,17,25,21,0,2,21,1,15,16,0,5,0,88,17,14,21,0,1,21,1,27,16,22,0,3,11,14,0,22,0,12,21,0,3,17,0,6,21,0,3,17,0,9,21,0,2,17,21,1,24,16,0,8,21,0,3,17,0,7,22,0,2,13,14,21,0,1,21,1,36,21,0,3,0,17,16,0,18,21,1,5,0,13,21,0,2,0,7,21,0,3,17,19,0,8,31,0,3,19,0,7,21,1,5,19,0,6,21,0,2,19,7,16,17,25,21,0,1,0,12,16,0,13,0,23,17,0,5,0,89,17,14,21,0,1,21,1,27,16,0,6,0,23,17,0,17,16,0,18,21,0,1,21,1,12,21,1,36,21,1,11,0,17,8,8,7,16,0,1,21,1,11,0,16,21,1,11,0,22,8,8,16,25,21,0,1,0,12,16,0,13,0,23,17,0,5,0,90,17,14,21,0,1,21,1,27,16,22,0,3,11,14,21,0,3,0,6,0,23,17,0,17,16,0,18,21,0,1,21,1,12,21,1,36,21,1,11,15,158,8,8,7,16,0,1,21,1,11,0,16,21,1,11,21,0,3,8,8,16,25,21,1,36,21,1,11,21,0,1,21,1,42,21,1,41,21,1,8,21,1,41,7,3,2,0,16,21,0,1,17,8,8,25,21,0,1,0,12,16,0,13,0,23,17,0,5,0,91,17,14,21,0,1,21,1,27,16,21,1,22,0,22,17,0,5,0,92,17,14,21,0,1,21,1,35,0,22,21,1,22,16,17,25,21,0,2,21,1,14,16,0,5,0,93,17,14,21,0,2,0,18,21,1,15,7,16,0,15,16,21,1,29,0,8,7,0,23,17,0,5,0,94,17,14,21,0,1,21,1,27,16,22,0,3,11,14,21,0,2,0,18,21,1,23,21,1,11,21,0,3,8,0,8,0,13,21,1,11,21,0,3,0,7,16,8,19,7,16,0,15,16,21,1,29,0,8,7,0,23,17,0,5,0,95,17,14,21,0,1,21,1,36,21,1,11,0,18,21,1,5,21,1,23,0,22,19,0,8,31,0,3,19,0,6,21,1,5,19,7,8,21,0,2,17,25,21,0,1,21,1,1,16,22,0,3,11,14,21,0,3,0,16,0,22,17,0,22,21,1,12,0,13,8,21,0,3,21,1,9,21,1,27,8,21,1,8,0,7,7,0,23,19,0,17,9,21,1,29,0,8,21,1,11,0,6,21,1,11,0,23,8,21,1,8,0,16,7,31,0,3,19,21,0,0,9,8,7,0,23,19,3,2,21,1,4,0,13,21,1,11,0,24,8,8,16,25,21,0,1,15,159,21,1,6,21,1,54,9,21,1,13,15,160,8,3,2,21,1,4,21,1,6,21,1,9,0,0,8,0,13,0,26,19,8,21,0,2,17,25,21,0,1,21,1,20,21,1,10,21,0,4,21,1,55,21,1,37,21,0,4,7,0,21,0,18,21,0,4,7,8,8,8,21,0,2,17,25,21,0,1,25,21,0,1,21,0,5,21,1,10,21,0,4,8,21,0,2,17,22,0,6,11,14,21,0,1,21,1,61,21,0,5,7,16,22,0,7,22,0,8,4,2,11,14,21,1,5,21,1,9,21,1,58,8,0,7,0,23,19,21,1,13,15,161,8,22,0,9,11,14,21,1,5,0,20,15,162,8,22,0,10,11,14,31,0,8,31,0,9,21,0,6,17,21,1,7,21,0,1,7,21,1,12,31,0,10,8,21,1,7,21,0,5,7,21,1,181,9,15,163,9,3,2,21,1,4,21,1,58,8,16,25,21,0,1,21,0,2,9,25,21,0,1,22,0,3,22,0,4,22,0,5,4,3,11,14,31,0,5,31,0,4,31,0,3,19,25,21,0,1,22,0,3,22,0,4,4,2,11,14,31,0,4,31,0,3,7,25,21,0,1,22,0,3,22,0,4,22,0,5,4,3,11,14,31,0,5,31,0,4,31,0,3,8,25,21,1,7,21,1,57,7,22,0,5,11,14,21,1,46,21,1,29,21,1,5,21,1,14,9,21,1,13,0,15,21,1,12,0,16,8,8,7,21,0,1,19,0,22,0,14,21,1,5,21,1,29,0,8,7,0,23,19,0,17,9,21,1,12,0,15,8,9,3,2,21,1,4,21,1,14,8,9,22,0,6,11,14,15,164,22,0,7,11,14,21,1,1,0,22,0,16,21,1,11,0,24,8,0,12,21,1,7,21,0,7,7,19,3,2,21,1,4,0,16,21,1,11,0,22,8,0,12,0,29,19,8,9,22,0,8,11,14,15,165,22,0,9,11,14,21,0,9,0,23,7,22,0,10,11,14,31,0,9,0,22,7,22,0,11,11,14,15,166,22,0,12,11,14,15,167,22,0,13,11,14,15,168,22,0,14,11,14,0,0,21,1,21,0,26,19,21,1,13,21,0,14,21,1,58,7,8,22,0,15,11,14,31,0,14,21,0,8,7,22,0,16,11,14,21,1,7,21,1,5,31,0,11,21,1,11,0,23,8,21,0,12,9,21,0,10,21,1,11,0,22,8,21,0,12,9,21,0,10,21,1,11,0,23,8,31,0,12,9,21,0,10,21,1,11,0,23,8,31,0,13,9,31,0,10,21,1,11,0,23,8,21,0,16,15,169,15,170,3,3,21,1,4,21,1,7,0,26,7,0,7,0,0,19,8,3,7,7,0,16,21,1,183,19,15,171,21,1,5,19,22,0,17,11,14,21,1,1,21,1,75,21,1,11,0,23,8,21,1,5,0,16,0,22,19,31,0,17,9,21,0,15,9,21,1,7,21,0,5,7,15,172,21,1,12,21,1,60,8,21,1,5,0,16,0,22,19,31,0,15,9,3,4,21,1,4,21,1,6,21,1,9,0,26,21,1,5,0,24,3,2,21,1,4,0,13,21,1,11,0,24,8,8,3,2,21,1,4,0,13,21,1,11,0,22,8,8,8,8,0,16,21,1,11,0,22,8,19,9,22,0,18,11,14,21,0,4,21,0,18,16,0,22,21,0,7,0,28,8,3,2,21,1,29,15,173,7,16,0,22,21,1,57,3,2,21,1,1,21,1,36,0,23,0,26,3,2,19,3,2,21,1,4,21,0,8,8,16,25,21,0,1,21,1,56,21,1,62,7,21,0,2,17,0,15,16,21,1,29,0,8,7,0,23,17,25,21,0,2,0,16,0,23,17,21,0,1,3,2,21,1,4,21,0,2,0,16,0,22,17,8,25,21,0,1,0,15,16,0,18,21,1,63,7,16,21,1,29,0,7,0,8,0,13,19,0,7,21,1,6,19,7,0,22,17,0,6,0,23,17,25,0,1,21,1,12,21,1,5,0,20,21,1,7,3,0,7,0,15,21,1,65,21,1,10,21,0,2,8,19,8,8,21,1,67,21,1,5,0,20,21,1,6,8,21,0,1,19,3,2,21,1,4,0,15,21,1,9,21,1,27,8,21,1,22,0,22,19,8,25,21,0,1,0,15,16,0,16,0,22,17,21,1,65,16,22,0,3,11,14,21,0,1,0,15,16,0,18,21,1,65,21,1,64,21,0,3,19,7,16,21,1,29,0,8,7,0,23,17,0,5,0,97,17,14,21,0,3,21,1,29,0,8,7,0,23,17,0,17,16,0,15,31,0,3,17,0,18,21,1,8,21,1,17,21,1,12,0,16,8,7,7,21,0,1,17,25,0,28,22,0,3,11,22,0,4,11,14,3,0,22,0,5,11,14,21,0,1,22,0,6,11,14,21,0,1,0,18,21,1,27,7,16,21,1,43,16,0,18,15,174,7,16,25,21,0,1,0,15,16,22,0,3,11,21,1,27,16,22,0,4,11,14,21,0,3,0,18,21,1,65,7,16,22,0,5,11,14,21,0,5,0,16,0,22,17,21,1,27,16,22,0,6,11,14,21,0,1,0,12,16,22,0,7,11,14,21,0,5,0,18,21,1,27,0,12,21,0,6,19,7,16,21,1,29,0,8,7,0,23,17,0,5,0,98,17,14,21,0,7,21,1,21,21,0,6,17,0,5,0,99,17,14,15,175,22,0,8,11,14,21,0,1,21,1,65,16,22,0,9,11,14,0,23,22,0,10,11,14,0,22,21,1,22,16,22,0,11,11,22,0,12,11,14,21,0,7,0,17,16,21,1,56,15,176,7,21,0,9,21,1,46,16,21,0,8,0,8,7,0,23,17,21,1,46,16,17,14,21,1,56,15,177,31,0,3,0,18,0,15,7,16,7,7,22,0,13,11,14,21,0,11,21,0,13,15,178,3,2,21,1,4,21,0,6,21,1,22,21,0,7,17,8,21,0,12,17,25,21,0,2,21,1,27,16,22,0,3,11,14,21,0,1,21,1,27,16,22,0,4,11,14,21,0,3,21,1,21,21,0,4,17,0,5,0,102,17,14,31,0,4,0,17,16,0,18,21,0,1,21,1,12,0,16,8,21,1,12,0,8,21,1,11,21,0,2,21,1,12,0,16,8,8,21,1,5,3,2,21,1,4,21,1,6,0,13,31,0,3,19,8,8,7,16,25,21,0,1,22,0,2,22,0,3,22,0,4,4,3,11,14,0,105,21,1,34,31,0,2,17,21,1,34,0,104,17,22,0,5,11,14,0,106,22,0,6,11,14,0,107,22,0,7,11,14,15,179,25,21,0,1,21,1,26,16,22,0,5,11,21,1,22,21,1,11,21,0,2,8,21,1,13,21,0,4,8,16,14,31,0,5,0,17,16,0,18,21,0,1,0,6,21,0,2,17,21,1,12,0,6,8,7,0,18,0,22,21,1,12,21,1,22,8,21,1,13,0,30,8,7,9,0,18,0,13,21,1,11,21,0,2,8,21,1,13,0,30,8,7,3,2,21,1,4,21,0,1,21,1,22,0,22,17,8,16,25,21,0,1,14,0,6,21,1,25,0,22,19,0,17,9,0,7,21,1,25,0,22,19,0,17,9,0,18,0,6,7,21,1,5,21,1,9,21,1,22,8,19,3,2,21,1,4,21,1,22,21,1,11,0,22,8,8,25,21,0,1,0,12,16,0,13,0,23,17,0,5,0,110,17,14,21,0,2,0,12,21,1,10,0,7,8,21,0,1,17,22,0,3,11,14,21,0,3,0,13,0,22,17,0,5,0,111,17,14,21,0,3,21,1,21,0,23,17,0,5,0,112,17,14,21,0,1,21,1,33,0,23,17,22,0,4,11,14,21,0,4,21,1,27,16,0,17,16,0,18,21,1,7,21,0,2,21,1,65,16,7,0,16,31,0,3,0,7,0,23,17,21,1,12,0,6,8,19,0,12,21,0,4,21,1,12,0,16,8,19,7,16,21,1,29,0,8,7,0,23,17,0,5,0,113,17,14,31,0,4,21,1,29,0,8,7,0,23,17,25,21,0,1,21,1,76,21,0,2,17,22,0,3,11,14,21,0,2,0,23,21,1,27,3,2,21,1,4,21,1,5,0,12,21,1,10,0,13,8,21,0,1,19,8,16,0,8,21,0,3,17,22,0,4,11,14,21,0,1,21,1,27,16,0,8,31,0,3,17,0,17,16,0,18,21,0,2,21,1,17,16,21,1,12,0,16,8,21,1,7,21,0,1,0,15,16,7,0,16,21,0,4,21,1,12,0,7,8,19,3,2,21,1,4,0,13,21,1,11,31,0,4,8,8,7,16,0,15,21,0,1,21,1,65,16,17,25,21,0,1,21,1,76,21,0,2,17,22,0,3,11,14,21,0,1,21,1,27,16,0,8,21,0,3,17,22,0,4,11,14,21,0,2,0,23,21,1,27,3,2,21,1,4,21,1,5,0,12,21,1,10,0,13,8,21,0,1,19,8,16,0,8,31,0,3,17,22,0,5,11,14,21,0,5,0,7,21,0,4,17,22,0,6,11,14,31,0,4,0,17,16,0,18,21,1,7,21,0,1,0,15,16,7,0,16,31,0,5,21,1,12,0,6,8,19,21,1,7,21,0,2,21,1,17,16,7,0,16,21,0,6,21,1,12,0,7,8,19,3,2,21,1,4,0,13,21,1,11,31,0,6,8,8,7,16,0,15,21,0,1,21,1,65,16,17,25,21,0,1,0,12,16,0,13,0,23,17,0,5,0,110,17,14,21,0,1,21,1,33,0,23,17,21,1,5,21,1,29,0,8,7,0,23,19,0,17,9,21,1,12,0,15,8,16,0,18,21,0,1,0,1,16,7,16,25,21,0,2,0,12,16,21,1,21,0,23,17,0,5,0,114,17,14,21,0,2,21,1,17,16,22,0,2,12,21,1,27,16,22,0,3,11,14,21,0,1,21,0,3,21,1,22,0,22,17,21,1,13,21,1,5,0,20,15,180,8,8,21,0,2,17,25,21,0,1,0,28,21,1,109,21,0,4,8,21,0,2,17,25,21,0,1,22,0,3,11,14,21,1,20,21,1,12,15,181,15,182,3,2,21,1,4,21,1,6,21,1,9,21,1,64,21,1,22,21,0,2,19,8,8,8,25,21,0,2,21,1,83,21,0,1,17,21,1,24,16,0,8,21,0,2,17,0,7,21,0,1,17,25,21,0,2,21,0,1,3,2,0,16,21,0,1,21,1,23,21,0,2,17,17,25,21,0,2,21,0,1,3,2,0,16,21,0,1,21,1,22,21,0,2,17,17,25,21,0,1,0,21,21,0,1,0,1,0,22,21,0,2,16,19,8,25,21,0,2,21,1,95,16,21,1,96,0,23,17,0,5,0,124,17,14,21,0,2,21,1,17,16,22,0,3,11,14,21,0,3,0,18,21,1,16,7,16,21,1,100,16,22,0,4,11,21,1,29,21,1,98,7,0,22,17,22,0,5,11,14,21,0,5,21,1,96,0,23,17,0,5,0,125,17,14,21,0,1,21,1,17,16,22,0,6,11,21,1,94,16,22,0,7,11,14,21,0,3,21,1,5,21,1,29,21,1,91,7,0,23,19,15,183,3,2,21,1,4,31,0,5,8,16,22,0,8,11,14,21,0,6,21,0,7,21,1,94,21,0,8,17,21,1,13,21,1,5,0,20,15,184,8,8,16,0,15,21,0,3,17,25,15,185,22,0,3,11,14,15,186,22,0,4,11,14,21,0,1,21,0,3,31,0,4,3,2,21,1,4,21,1,14,8,16,25,21,0,1,21,1,95,16,21,1,96,0,23,17,0,5,0,131,17,14,21,0,1,21,1,104,16,22,0,1,12,14,21,0,1,21,1,94,16,0,26,21,1,12,21,1,97,8,21,1,89,21,1,97,21,1,11,0,23,8,19,16,0,5,0,132,17,14,21,0,1,0,18,21,1,15,7,16,21,1,29,21,1,89,7,0,23,17,0,5,0,133,17,14,21,0,1,25,21,0,1,21,1,9,21,1,106,8,21,1,5,21,1,9,21,1,92,8,21,1,56,0,16,7,21,1,94,21,1,12,21,1,8,21,1,86,21,1,98,0,23,19,21,1,99,21,1,6,19,7,8,19,0,23,0,22,3,2,0,21,0,24,3,1,8,19,25,21,0,1,21,1,107,21,0,5,7,21,0,2,17,22,0,6,11,21,1,93,0,22,17,22,0,7,11,14,21,0,4,22,0,8,11,14,15,187,22,0,9,11,14,21,0,1,21,0,9,31,0,6,7,21,0,2,17,25,21,0,1,21,1,107,21,0,5,7,21,1,56,21,1,99,21,1,12,21,1,87,8,21,1,99,21,1,88,0,22,19,3,2,21,1,4,21,1,5,21,1,97,0,22,19,8,7,21,1,95,21,1,10,21,1,18,8,19,21,0,2,17,22,0,6,11,14,15,188,22,0,7,11,14,21,1,5,21,1,92,9,21,0,7,21,1,5,0,18,21,1,92,7,9,3,3,21,1,4,21,1,95,21,1,12,21,1,96,8,21,1,98,0,23,19,21,1,91,0,22,21,1,12,21,1,93,8,19,8,22,0,7,12,14,21,0,1,21,0,7,21,0,6,0,16,21,1,11,21,1,94,21,1,8,21,1,99,7,0,23,19,8,16,17,21,1,56,21,0,4,7,21,0,2,31,0,7,31,0,6,0,16,0,22,17,17,17,21,1,93,16,25,21,0,1,21,1,95,16,21,1,97,0,23,17,0,5,0,134,17,14,21,0,4,22,0,5,11,14,15,189,22,0,6,11,14,21,0,1,31,0,6,15,190,3,2,21,1,4,0,23,0,21,21,1,94,21,1,92,0,22,19,8,8,21,0,2,17,25,21,0,1,21,1,65,21,1,10,21,1,18,8,21,0,2,17,22,0,3,11,14,21,0,3,0,18,21,1,94,7,16,22,0,4,11,21,1,29,21,1,88,7,0,23,17,22,0,5,11,14,21,0,4,21,1,99,21,0,5,17,21,1,96,0,23,17,21,1,29,21,1,89,7,0,23,17,0,5,0,136,17,14,21,0,3,21,1,56,21,1,36,21,1,11,0,23,21,1,99,21,0,5,17,0,17,16,21,1,12,21,1,98,8,8,7,21,0,5,21,1,100,21,0,4,17,17,22,0,6,11,14,21,0,6,21,1,29,21,1,64,7,16,0,5,0,137,17,14,31,0,3,21,1,56,0,23,21,1,5,0,16,0,22,19,3,2,21,1,4,21,1,6,8,7,31,0,4,21,1,95,31,0,5,17,17,21,1,29,21,1,98,7,0,22,17,22,0,7,11,14,21,0,1,21,1,104,21,1,10,21,1,34,8,21,0,2,17,21,1,104,31,0,6,0,16,0,22,17,21,1,34,31,0,7,3,1,17,17,25,21,0,2,21,1,14,21,1,13,21,1,104,0,16,0,22,19,8,16,22,0,2,12,14,21,0,2,21,1,16,16,0,5,0,86,17,14,21,0,2,22,0,3,11,22,0,4,11,14,21,0,1,21,1,36,21,0,1,21,1,94,16,21,1,91,21,0,3,17,0,17,16,0,19,21,1,8,15,191,21,1,13,15,192,8,7,7,16,17,25,21,0,1,21,1,94,21,1,10,21,1,95,8,21,0,2,17,0,5,0,138,17,14,21,0,1,21,1,113,21,0,2,17,25,21,0,1,0,18,21,1,15,7,16,21,1,29,21,1,89,7,0,23,17,0,5,0,139,17,14,21,0,1,21,1,97,0,28,17,21,1,29,21,1,89,7,0,23,17,0,5,0,140,17,14,0,3,22,0,5,11,14,21,0,1,21,1,6,0,21,0,22,8,21,1,13,21,1,5,15,193,21,1,94,21,1,12,21,1,8,21,1,99,7,8,19,8,21,0,2,17,22,0,1,12,14,21,0,1,0,4,21,0,1,21,0,5,16,22,0,6,11,17,22,0,7,11,14,0,22,22,0,8,11,14,31,0,6,0,18,21,1,117,21,1,9,0,18,15,194,7,8,21,0,4,9,7,16,25,21,0,1,21,1,95,16,21,1,95,0,23,17,0,5,0,141,17,14,21,1,122,21,1,5,7,22,0,3,11,14,21,0,1,21,0,3,0,1,0,22,21,1,9,21,1,117,8,19,0,18,15,195,7,21,1,29,0,18,0,18,21,1,34,7,7,7,3,0,21,1,92,16,21,1,92,16,19,0,1,0,18,0,22,7,3,0,21,1,12,21,1,104,8,0,1,21,1,5,19,9,19,3,2,21,1,4,21,1,64,21,1,92,0,23,19,8,16,25,21,0,1,21,1,14,16,0,5,0,142,17,14,21,0,2,21,1,64,21,1,93,0,24,19,21,1,13,21,1,20,21,1,9,21,1,18,8,8,16,22,0,2,12,14,21,0,2,21,1,95,16,21,1,95,0,23,17,0,5,0,143,17,14,21,0,2,0,18,21,1,95,7,16,22,0,3,11,21,1,29,21,1,98,7,0,22,17,22,0,4,11,14,21,0,1,21,1,95,16,21,1,97,21,0,4,17,0,5,0,144,17,14,21,0,1,21,1,65,16,21,1,115,21,0,4,17,21,1,99,21,0,2,0,18,21,1,65,7,16,21,1,72,16,17,22,0,5,11,14,21,0,5,21,0,3,21,1,95,0,23,17,21,1,119,21,0,3,17,21,1,12,21,1,97,8,21,1,89,21,1,97,21,1,11,0,22,8,19,16,21,1,29,21,1,89,7,0,23,17,0,5,0,145,17,14,0,22,3,1,21,1,34,31,0,5,17,21,1,36,21,0,3,0,19,21,1,98,7,16,21,1,120,0,22,17,17,21,1,87,31,0,3,17,22,0,6,11,14,21,0,2,0,18,21,1,104,7,16,22,0,2,12,0,18,21,1,94,7,16,22,0,7,11,14,21,1,7,21,0,1,7,21,1,103,21,0,1,21,1,33,31,0,4,17,21,1,12,21,1,34,8,19,22,0,8,11,14,21,0,7,21,1,29,21,1,91,7,0,23,17,3,1,21,0,8,16,21,1,12,21,1,36,8,22,0,9,11,14,21,0,2,0,16,21,1,11,0,22,8,21,1,10,21,1,122,21,0,9,7,8,21,1,56,21,1,122,21,1,5,7,7,21,1,91,31,0,7,21,1,118,16,21,1,120,0,23,17,0,19,21,1,91,7,16,21,1,118,16,19,21,1,29,0,18,0,18,21,1,98,7,7,7,9,0,18,31,0,9,7,9,3,2,21,1,4,21,1,5,21,1,9,21,1,94,8,21,1,94,0,23,19,8,31,0,6,17,0,1,21,0,2,0,18,0,22,7,16,31,0,8,16,17,25,21,0,2,21,1,95,16,21,1,95,0,23,17,0,5,0,146,17,14,21,0,1,21,1,65,16,22,0,3,11,21,1,94,21,1,10,21,1,95,8,21,0,2,17,0,5,0,147,17,14,21,0,2,0,18,21,1,15,7,16,21,1,29,21,1,89,7,0,23,17,0,5,0,148,17,14,21,0,3,21,1,92,21,1,89,21,1,99,21,1,12,21,1,96,8,19,21,0,2,17,21,1,29,21,1,89,7,0,23,17,0,5,0,149,17,14,0,22,21,1,92,21,0,2,17,21,1,91,21,0,3,17,21,1,98,21,0,2,17,22,0,2,12,14,21,0,2,21,1,94,16,21,1,100,21,1,11,21,1,117,8,16,21,1,99,16,21,1,29,21,1,5,21,1,91,31,0,3,21,1,12,0,16,8,19,21,1,98,21,0,2,21,1,12,0,16,8,19,7,0,22,17,21,1,8,0,16,7,21,0,1,21,1,104,16,17,25,21,0,2,0,18,21,0,1,21,1,12,21,1,126,8,7,16,25,21,0,1,21,1,95,21,1,11,0,22,8,21,1,29,21,1,90,7,0,22,19,21,1,10,21,1,8,21,1,99,7,8,21,0,2,17,22,0,3,11,14,21,0,1,0,22,21,0,3,3,2,15,196,3,2,21,1,4,0,22,21,1,95,31,0,3,17,8,21,0,2,17,25,21,0,4,22,0,5,11,14,21,0,2,22,0,6,11,14,21,0,1,22,0,7,11,14,15,197,22,0,8,11,14,21,0,4,21,1,95,21,1,11,0,22,8,21,1,13,21,0,1,8,9,31,0,8,3,2,0,16,21,0,6,21,1,94,0,23,17,17,25,21,0,1,22,0,2,11,14,21,1,92,21,1,11,0,22,8,21,1,13,15,198,8,25,21,0,2,21,1,95,16,21,1,8,21,1,99,7,0,23,17,22,0,5,11,14,21,0,5,21,1,97,0,22,17,0,5,0,150,17,14,21,0,1,21,1,95,16,21,1,97,21,0,5,17,0,5,0,151,17,14,21,0,2,21,1,33,0,23,17,22,0,6,11,21,1,29,21,1,91,7,0,23,17,22,0,7,11,14,0,22,21,1,129,21,0,2,21,1,104,16,21,1,12,0,16,8,21,1,10,21,0,4,8,7,21,0,7,17,22,0,8,11,14,21,0,2,21,1,94,16,0,23,0,23,21,1,12,21,1,99,21,1,9,21,1,117,8,8,21,1,91,21,0,7,19,0,18,21,1,98,21,1,11,31,0,7,8,21,1,12,31,0,8,8,7,9,21,1,8,21,1,97,7,0,22,19,21,1,29,21,1,89,7,0,23,19,3,2,21,1,4,21,1,92,21,1,11,0,22,8,8,16,0,5,0,152,17,14,21,0,1,21,1,95,16,21,1,8,21,1,99,7,31,0,5,17,22,0,9,11,14,21,0,1,21,1,20,16,21,1,33,21,0,9,17,22,0,10,11,14,21,0,10,21,1,128,21,0,6,17,22,0,11,11,14,31,0,11,21,1,29,21,1,129,21,0,1,21,1,104,16,21,1,12,0,16,8,21,1,12,21,0,4,21,1,11,21,0,2,21,1,104,16,21,1,12,0,16,8,8,8,7,7,16,22,0,12,11,14,21,1,8,0,22,7,21,1,97,31,0,12,21,1,11,21,1,91,21,1,11,31,0,6,21,1,29,21,1,91,7,0,23,17,8,8,19,22,0,13,11,14,31,0,9,21,1,117,16,0,18,21,0,1,21,1,65,16,21,1,12,0,16,8,7,16,21,1,5,21,1,29,21,1,91,7,0,23,19,21,1,117,9,21,1,12,21,1,104,8,16,21,1,91,31,0,10,21,1,29,21,1,91,7,0,23,17,17,0,18,15,199,21,1,11,21,0,2,21,1,94,16,8,7,16,0,1,0,22,17,25,21,0,1,22,0,2,11,14,21,1,111,21,1,89,7,21,1,100,9,0,19,21,1,89,7,21,1,111,21,1,98,7,9,3,2,0,16,21,0,1,17,22,0,3,11,14,15,200,0,1,0,22,19,25,21,0,1,21,1,95,16,21,1,97,0,23,17,0,5,0,155,17,14,21,0,1,21,1,134,16,22,0,5,11,14,21,0,1,21,1,94,16,21,1,117,16,0,18,0,23,21,1,5,21,0,1,21,1,95,21,1,92,0,23,19,21,1,13,21,1,81,21,1,92,7,8,16,21,1,36,21,0,5,17,21,1,12,0,16,8,21,1,10,21,1,65,8,0,23,21,1,12,21,1,99,8,19,3,2,21,1,4,21,1,92,21,1,11,0,22,8,8,7,16,21,0,4,21,0,5,17,21,1,36,31,0,5,21,1,137,16,17,0,1,0,22,17,25,21,0,2,21,1,95,16,22,0,3,11,14,21,0,1,21,1,95,16,21,1,97,21,0,3,17,0,5,0,156,17,14,21,0,1,21,0,3,21,1,133,21,1,117,21,1,11,21,0,2,21,1,65,16,21,1,87,21,0,1,21,1,65,16,21,1,115,21,1,11,21,1,99,8,21,0,3,17,21,1,98,0,23,17,17,8,8,16,31,0,3,21,1,133,21,1,64,8,21,0,2,17,0,1,0,22,17,25,21,0,2,21,1,95,16,21,1,96,0,23,17,0,5,0,157,17,14,21,0,1,21,1,65,16,21,1,94,21,1,10,21,1,97,8,21,0,2,17,0,5,0,158,17,14,21,0,2,21,1,104,16,0,18,21,1,16,7,16,21,1,29,21,1,89,7,0,23,17,0,5,0,159,17,25,21,0,1,21,1,65,16,21,1,143,21,0,2,17,0,18,21,1,29,21,1,87,7,7,16,21,1,117,16,0,18,21,1,7,21,0,1,7,21,1,127,21,1,36,21,1,11,21,0,2,8,19,7,16,25,21,0,1,21,1,146,21,0,2,17,14,21,0,2,21,1,104,16,22,0,2,12,14,21,0,2,21,1,145,16,21,1,100,16,21,1,29,21,1,98,7,0,22,17,21,1,99,21,0,1,21,1,95,16,17,22,0,3,11,14,21,0,3,21,1,92,21,0,2,17,21,1,29,21,1,89,7,0,23,17,0,5,0,160,17,14,21,0,1,21,1,147,31,0,3,21,1,117,16,21,1,5,21,1,119,21,1,8,21,1,145,21,1,9,21,1,100,8,7,19,21,0,2,17,21,1,142,21,0,2,17,17,25,21,0,1,21,1,146,21,0,2,17,14,21,0,2,21,1,104,16,22,0,2,12,14,21,0,1,21,1,95,16,22,0,3,11,14,21,0,2,21,0,3,21,1,12,21,1,92,8,21,1,89,21,1,145,19,16,21,1,29,21,1,89,7,0,23,17,21,1,165,16,14,21,0,1,21,1,147,31,0,3,21,1,117,16,21,1,5,21,1,119,21,1,8,21,1,145,21,1,9,21,1,100,8,7,19,21,0,2,17,21,1,142,21,0,2,17,21,1,137,16,17,25,21,0,2,21,1,95,16,21,1,8,21,1,99,7,0,23,17,22,0,3,11,14,21,0,3,21,1,97,0,22,17,0,5,0,161,17,14,21,0,1,21,1,95,16,21,1,97,31,0,3,17,0,5,0,162,17,14,21,0,1,21,1,144,21,1,11,21,0,2,8,21,1,104,21,1,9,21,1,151,21,1,12,21,1,81,21,1,141,7,8,8,21,1,104,21,1,7,0,24,7,21,1,142,21,1,65,19,19,9,21,1,10,21,1,144,8,21,0,2,17,25,21,0,1,15,201,21,0,5,21,1,154,21,0,1,21,0,4,21,0,2,17,17,7,21,0,2,17,25,21,0,1,21,1,181,16,25,21,0,1,21,0,5,21,0,2,17,22,0,6,11,14,0,22,22,0,7,11,22,0,8,11,14,21,0,6,0,22,21,1,132,15,202,8,16,14,0,22,15,203,0,21,21,1,7,15,204,7,8,21,0,2,17,22,0,9,11,14,21,0,1,3,1,22,0,10,11,14,15,205,21,1,11,31,0,9,8,22,0,11,11,14,21,0,7,21,0,11,21,0,4,17,22,0,12,11,14,21,0,8,21,1,99,16,21,0,10,31,0,11,21,1,11,21,1,181,8,3,2,21,1,155,21,1,92,21,1,11,0,22,8,8,21,0,4,17,22,0,13,11,14,31,0,6,0,22,21,1,132,21,1,7,31,0,12,31,0,13,3,2,7,21,1,154,0,22,21,1,12,21,1,92,8,19,21,1,154,21,1,86,19,8,16,25,0,24,21,1,83,21,0,2,21,1,94,16,17,21,1,117,16,21,1,91,0,24,17,22,0,3,11,14,21,0,1,21,1,92,16,21,1,142,21,0,2,21,1,153,21,0,3,21,1,98,0,23,17,17,17,21,1,31,21,0,2,21,1,153,31,0,3,17,8,25,0,22,21,0,1,16,25,21,0,1,21,0,4,21,0,2,17,22,0,6,11,14,21,0,6,21,0,5,21,0,2,17,21,1,64,21,0,1,17,21,1,166,16,14,31,0,6,25,21,0,1,21,1,64,16,21,1,95,0,24,17,21,1,165,16,14,21,0,1,0,18,21,1,95,7,16,21,1,95,0,23,17,21,1,29,21,1,89,7,0,23,17,21,1,166,16,14,21,0,1,21,1,142,16,22,0,3,11,14,21,0,3,0,18,21,1,16,7,16,21,1,29,21,1,89,7,0,23,17,21,1,166,16,14,21,0,1,21,1,56,21,1,120,7,0,28,17,21,1,142,16,21,1,93,21,0,3,17,21,1,29,21,1,89,7,0,23,17,21,1,166,16,14,21,0,3,0,3,16,22,0,4,11,14,0,23,21,1,97,21,0,4,17,21,1,29,21,1,89,7,0,23,17,21,1,166,16,14,31,0,4,21,1,100,16,21,1,119,16,22,0,5,11,14,21,0,5,21,1,56,0,28,7,16,21,1,142,21,0,1,21,1,56,21,1,94,7,16,21,1,119,16,17,21,1,153,31,0,5,21,1,142,31,0,3,17,21,1,134,16,17,25,21,0,2,21,1,95,16,21,1,95,0,23,17,21,1,165,16,14,21,0,2,0,18,21,1,16,7,16,21,1,29,21,1,89,7,0,23,17,21,1,165,16,14,21,0,2,21,1,143,16,22,0,3,11,14,21,0,1,21,1,56,21,1,94,7,21,1,10,21,1,64,8,21,0,3,17,21,1,166,16,14,21,0,1,21,1,142,21,1,10,21,1,153,21,1,11,21,1,134,8,8,31,0,3,17,25,21,0,1,21,1,14,16,21,1,166,16,14,21,0,1,21,1,95,16,21,1,95,0,22,17,21,1,166,16,14,21,0,1,21,1,154,16,25,21,0,2,21,1,95,21,1,10,21,1,99,8,21,0,1,17,22,0,3,11,14,21,0,3,0,23,21,1,12,21,1,97,8,21,1,89,21,1,97,21,1,11,0,22,8,19,16,21,1,166,16,14,21,0,2,0,23,21,1,94,3,2,21,1,155,21,0,3,8,16,22,0,4,11,14,21,0,1,21,1,94,16,21,1,97,21,0,4,17,21,1,166,16,14,21,0,1,21,1,153,21,1,115,21,1,11,21,0,4,8,3,2,21,1,155,31,0,3,8,16,21,1,64,21,0,2,17,21,1,166,16,14,21,0,1,21,1,116,31,0,4,17,25,21,0,1,21,1,94,16,21,1,95,0,24,17,21,1,166,16,14,21,0,1,21,1,153,16,21,1,64,21,0,2,17,21,1,166,16,14,21,0,1,21,1,153,0,23,17,25,21,0,1,21,1,94,16,21,1,95,0,23,17,21,1,166,16,14,21,0,1,21,1,153,16,25,21,0,1,21,1,95,16,21,1,95,0,23,17,21,1,165,16,14,21,0,1,0,18,21,1,16,7,16,21,1,29,21,1,89,7,0,23,17,21,1,165,16,14,21,0,1,21,1,116,21,1,11,0,23,8,21,1,97,21,1,116,21,1,11,0,28,8,19,21,1,29,21,1,89,7,0,23,19,16,21,1,166,16,14,21,0,1,0,3,16,25,21,0,1,21,1,20,21,1,10,21,0,4,21,1,55,0,18,21,0,4,7,8,8,21,0,2,17,25,21,0,5,14,21,0,1,21,0,4,21,0,2,17,25,21,0,1,21,1,181,16,25,21,0,2,21,1,12,21,0,1,8,0,21,21,0,2,21,0,1,9,8,25,21,1,154,21,1,11,0,23,8,21,0,1,21,1,12,15,206,8,21,1,154,21,1,11,0,22,8,19,25,21,1,5,21,1,9,21,1,64,8,21,1,92,0,22,19,21,1,166,9,21,1,6,21,1,56,21,1,156,21,0,1,7,7,19,25,21,1,5,21,1,9,21,1,64,8,21,1,92,0,22,19,21,1,166,9,21,1,6,0,22,21,1,9,21,1,165,8,0,21,21,1,172,21,1,156,21,0,1,7,7,8,19,25,21,1,5,21,1,9,21,1,95,8,21,1,92,0,22,19,21,1,166,9,21,1,6,21,1,81,21,1,156,21,0,1,7,21,1,5,21,1,11,21,1,14,21,1,9,21,1,166,8,8,9,7,19,25,21,1,56,21,1,156,21,0,1,7,7,25,21,1,5,21,1,9,21,1,95,8,21,1,92,0,22,19,21,1,166,9,21,1,6,21,1,5,21,0,1,21,1,120,19,0,21,21,1,94,21,1,92,0,23,19,21,1,158,21,1,116,21,1,11,0,23,8,21,0,1,21,1,116,21,1,11,0,28,8,19,21,1,142,21,1,153,19,8,8,19,25,21,0,1,21,1,1,16,25,21,1,154,21,1,11,0,23,8,21,0,1,21,1,12,15,207,8,21,1,153,21,1,11,0,22,0,24,3,2,8,19,25,21,0,1,21,1,7,15,208,7,3,2,21,1,155,21,1,95,21,1,11,21,1,7,21,1,173,7,8,8,25,21,1,156,21,0,2,7,22,0,3,11,14,21,0,3,21,1,11,21,0,1,8,0,21,31,0,3,8,21,1,156,21,0,1,7,9,25,21,0,1,21,1,160,21,1,156,21,0,2,7,8,25,21,0,1,21,1,158,21,0,2,8,21,1,168,21,0,1,21,1,99,16,21,1,158,21,0,2,8,8,25,21,0,1,21,1,99,16,21,1,158,21,0,2,8,25,21,1,156,21,0,1,7,0,21,21,1,156,21,0,2,7,8,25,21,1,156,21,0,1,7,21,1,11,21,0,2,8,25,21,0,1,0,21,21,1,167,8,25,21,1,156,21,0,2,7,21,1,156,21,0,1,7,9,0,21,21,0,1,21,1,7,0,22,21,1,9,21,1,165,8,7,15,209,3,2,21,1,155,21,1,5,21,1,9,21,1,177,8,8,21,0,2,17,8,25,21,0,1,22,0,3,22,0,4,22,0,5,4,3,11,14,21,1,177,21,1,100,9,22,0,6,11,14,31,0,5,15,210,15,211,21,1,7,21,1,167,7,3,2,21,1,155,21,1,5,21,1,9,21,0,6,8,8,3,2,21,1,155,21,1,6,21,1,9,31,0,6,8,8,31,0,3,17,25,21,0,1,21,1,1,16,25,21,1,5,21,1,64,21,1,9,21,1,166,8,21,0,1,19,21,1,6,21,1,5,19,25,21,0,1,21,1,181,16,21,1,5,15,212,3,2,21,1,155,0,22,21,1,5,21,1,9,21,1,1,8,21,1,153,0,22,0,33,3,2,19,21,1,65,0,29,21,1,173,3,2,19,3,2,21,1,155,21,1,65,21,1,11,21,1,7,21,1,167,7,8,21,1,89,21,1,65,19,8,8,21,0,1,17,25,21,0,1,21,1,56,21,1,94,7,16,21,1,94,21,1,142,21,1,119,19,16,21,1,31,21,0,1,21,1,142,16,8,25,21,1,92,21,1,144,21,0,1,19,21,1,154,9,22,1,2,12,14,21,0,1,21,1,3,3,2,25,21,0,1,25,21,0,1,25,21,0,1,14,21,1,7,21,2,164,16,25,0,23,0,7,21,1,6,17,22,1,6,12,14,21,0,1,0,16,21,1,6,17,25,21,1,8,21,1,7,21,1,5,0,16,21,0,1,17,17,22,1,8,12,25,21,0,1,21,2,2,16,25,21,0,2,0,14,16,22,0,5,11,14,21,0,2,0,12,16,0,17,16,21,2,29,0,8,21,2,11,21,0,1,0,14,16,21,2,12,0,16,8,0,12,21,0,5,21,2,12,0,16,8,19,8,7,0,23,17,0,5,0,82,17,14,21,0,5,21,2,29,0,8,7,0,23,17,0,17,16,0,18,21,0,1,0,15,16,21,2,12,0,16,8,21,0,4,21,0,2,0,15,16,21,2,12,0,16,8,19,7,16,0,15,31,0,5,17,25,21,0,2,0,14,16,22,0,5,11,14,21,0,2,0,12,16,22,0,6,11,14,21,0,1,0,14,16,22,0,7,11,14,21,0,6,0,17,16,21,2,29,0,8,21,2,11,21,0,7,21,2,12,0,16,8,0,12,31,0,5,21,2,12,0,16,8,19,8,7,0,23,17,0,5,0,83,17,14,21,0,6,0,7,21,0,1,0,12,16,17,0,17,16,21,2,29,0,8,21,2,11,0,6,21,2,11,31,0,6,8,21,2,8,0,16,7,21,0,7,19,8,7,0,23,17,22,0,8,11,14,21,0,2,0,15,16,22,0,9,11,14,21,0,1,0,15,16,22,0,10,11,14,21,0,8,0,17,21,2,10,0,18,21,2,7,31,0,10,7,0,16,0,6,21,2,11,0,8,21,2,11,31,0,8,8,8,19,21,0,4,21,0,9,21,2,12,0,16,8,19,7,8,31,0,9,21,2,27,16,17,0,15,16,0,15,31,0,7,17,25,21,0,1,21,2,38,21,0,4,7,21,0,2,17,25,21,0,1,0,18,15,213,21,0,2,7,7,16,25,21,0,2,0,18,15,214,21,0,1,7,7,16,25,21,1,6,0,8,0,24,17,0,13,21,0,1,21,2,29,21,2,24,7,16,22,1,10,12,0,7,21,0,1,21,2,29,21,2,25,7,16,22,1,9,12,17,17,25,21,0,1,14,21,2,8,0,22,7,21,2,23,0,22,21,2,129,21,1,8,21,2,12,0,16,8,21,2,10,21,0,4,8,7,21,1,7,17,19,22,0,5,11,14,21,2,5,21,1,6,3,2,21,2,4,0,13,21,2,11,21,1,6,8,8,22,0,6,11,14,0,22,0,12,21,1,6,17,0,6,21,1,6,17,0,2,0,24,17,21,2,25,16,22,0,7,11,0,17,16,0,18,21,2,5,0,6,0,23,19,0,7,31,0,7,19,0,10,0,24,19,7,16,21,2,29,15,215,7,21,1,6,0,17,16,17,25,21,0,1,0,18,21,2,16,7,16,21,2,29,0,8,7,0,23,17,0,5,0,86,17,14,0,23,0,7,21,1,3,17,22,0,3,11,14,21,2,5,0,7,21,0,3,19,21,2,8,0,16,7,21,1,3,0,17,16,0,18,0,7,21,2,11,21,0,3,8,7,16,0,19,21,2,5,21,2,8,0,16,7,21,0,1,19,0,12,0,22,19,0,8,0,7,19,0,6,21,2,5,19,7,16,19,22,0,4,11,14,21,0,1,0,19,0,6,7,16,21,2,12,0,16,8,22,0,5,11,14,0,22,21,0,4,16,22,0,6,11,21,0,5,16,22,0,7,11,14,31,0,3,21,0,5,16,0,17,16,0,18,15,216,7,16,25,21,0,1,0,7,21,1,3,17,0,17,16,0,18,0,6,21,2,11,21,0,1,8,7,16,25,21,0,1,0,1,21,0,2,19,25,21,0,2,0,20,21,0,1,21,2,101,21,0,2,17,8,25,21,2,5,21,2,14,9,0,12,21,2,10,0,12,8,0,14,21,2,10,21,2,56,0,12,7,8,21,2,29,0,8,7,0,23,19,3,3,21,2,29,15,217,7,16,22,0,3,11,14,15,218,22,0,4,11,14,21,2,18,21,0,4,15,219,3,2,21,2,4,21,2,5,21,2,9,21,2,29,31,0,3,7,8,8,3,2,21,2,4,21,2,5,0,16,0,22,19,21,2,14,9,8,22,0,5,11,14,0,22,22,0,6,11,14,21,0,1,15,220,16,14,21,0,1,21,0,2,3,2,21,0,5,0,22,17,22,0,7,11,14,21,0,6,0,17,16,0,18,15,221,7,16,22,0,8,11,14,31,0,8,31,0,4,0,12,21,0,7,17,21,2,13,21,2,7,21,2,57,7,8,16,25,15,222,21,2,11,21,0,2,8,22,0,3,11,14,15,223,22,0,4,11,14,15,224,21,2,11,0,22,8,22,0,5,11,14,21,0,1,21,2,7,21,0,2,7,0,16,0,22,19,0,16,0,23,19,31,0,5,3,2,21,2,4,21,1,7,21,2,9,21,2,14,8,8,16,25,21,1,6,21,0,1,16,25,21,0,4,22,0,6,11,14,21,0,1,22,0,7,22,0,8,22,0,9,4,3,11,14,21,0,5,21,2,14,21,2,23,31,0,8,19,21,2,13,15,225,21,2,9,21,1,6,8,8,16,31,0,7,21,0,2,17,22,0,10,11,14,31,0,10,31,0,9,21,2,13,15,226,8,16,25,21,0,1,15,227,21,0,1,21,0,2,21,0,4,3,3,7,3,2,21,2,4,21,2,5,21,1,8,9,8,25,21,1,5,0,21,21,0,1,8,25,21,0,1,0,21,21,1,5,8,25,21,1,5,21,0,1,3,2,21,2,4,21,0,4,0,7,0,23,19,21,2,10,0,8,0,21,21,2,5,8,8,8,25,21,0,1,22,0,3,11,14,15,228,25,21,0,1,22,0,3,11,14,15,229,25,21,0,2,21,0,1,16,25,21,0,1,21,2,56,21,1,18,7,16,25,21,0,1,21,0,2,16,25,21,0,1,0,12,21,2,11,21,1,4,8,0,7,0,23,19,21,2,13,15,230,8,16,14,21,1,5,0,16,0,23,0,6,21,1,3,17,22,1,3,12,17,25,21,0,2,22,0,5,11,14,21,0,4,22,0,6,11,14,21,0,1,0,18,15,231,7,16,25,21,0,2,22,0,3,11,14,21,1,9,0,16,21,0,1,17,22,0,4,11,14,21,1,5,0,18,0,16,21,2,11,21,0,1,8,7,16,22,0,5,11,14,21,0,4,0,17,16,0,18,21,2,7,21,0,5,7,0,16,0,8,21,2,11,21,0,3,8,19,7,16,22,0,6,11,14,31,0,3,0,17,16,0,18,21,2,6,7,21,0,6,17,0,18,21,2,5,7,21,1,10,0,17,16,17,0,15,16,21,2,56,0,12,7,31,0,5,17,21,2,29,0,8,7,0,23,17,0,5,0,100,17,14,21,0,6,21,2,43,16,22,0,7,11,14,21,0,7,21,2,27,16,0,17,16,0,18,21,0,6,21,1,8,0,6,7,0,22,17,21,2,36,21,0,7,17,21,2,12,0,16,8,21,2,12,0,7,8,7,16,22,0,8,11,14,31,0,8,0,18,21,2,5,7,21,1,12,17,21,2,56,0,6,7,21,0,7,0,18,31,0,6,21,2,12,0,16,8,21,2,12,0,8,8,7,21,1,12,17,17,22,1,12,12,14,31,0,7,0,18,0,6,21,2,11,21,0,4,21,2,12,0,8,8,8,7,21,1,11,17,22,1,11,12,14,31,0,4,0,8,22,1,10,13,25,21,0,4,0,16,21,0,1,17,0,16,21,0,2,17,25,21,2,36,21,2,11,21,1,7,0,7,21,1,6,17,0,17,16,0,18,0,6,21,2,11,21,1,7,8,7,16,8,22,0,3,11,14,21,1,5,0,16,0,22,17,21,0,3,16,22,0,4,11,14,21,1,5,0,18,31,0,3,21,2,56,0,12,7,21,0,4,19,21,2,29,0,8,7,9,7,16,21,2,29,0,8,7,0,23,17,0,5,0,101,17,14,21,0,4,21,2,29,0,8,7,16,22,0,5,11,0,17,16,0,15,31,0,4,17,22,0,6,11,14,21,0,6,0,18,21,2,6,7,21,0,1,17,21,1,13,31,0,6,0,18,0,6,21,2,11,0,8,21,2,11,31,0,5,8,8,7,21,0,2,17,17,25,21,0,2,0,12,16,21,2,21,0,23,17,0,5,21,1,6,17,14,21,0,2,21,2,17,16,22,0,2,12,14,21,0,2,0,18,21,2,15,7,16,21,2,29,0,8,7,0,23,17,0,5,21,1,7,17,14,21,0,2,21,2,27,16,22,0,3,11,14,21,0,1,21,2,65,16,21,2,27,21,2,12,21,2,23,8,21,2,13,15,232,8,21,0,3,17,22,0,4,11,14,15,233,22,0,5,11,14,0,22,21,2,22,16,22,0,6,11,14,0,23,22,0,7,11,14,15,234,22,0,8,11,14,0,22,22,0,9,11,14,21,0,3,0,17,16,0,18,21,0,2,21,2,12,0,16,8,15,235,21,1,4,15,236,7,31,0,8,21,2,6,19,3,2,21,2,4,21,1,3,8,21,0,4,21,2,12,0,16,8,19,7,16,22,0,10,11,14,21,0,1,21,2,20,16,21,2,5,0,20,0,15,21,2,11,21,0,4,8,15,237,3,2,21,2,4,21,0,6,0,12,16,21,2,22,0,22,17,8,8,16,25,21,0,1,0,12,16,0,13,21,1,3,17,0,5,0,115,17,14,21,0,2,0,18,21,2,16,7,16,21,2,29,0,8,7,16,0,5,0,116,17,14,21,0,1,21,2,65,16,22,0,3,11,14,21,1,3,0,17,16,0,18,21,0,2,21,2,12,0,16,8,0,7,21,0,3,21,2,12,0,16,8,19,0,6,0,23,19,7,16,22,0,4,11,14,21,0,4,0,18,0,13,21,2,11,0,22,8,7,16,21,2,29,0,8,7,16,0,5,0,117,17,14,21,0,3,21,2,36,21,1,3,0,7,21,2,11,21,2,27,8,21,0,3,17,0,17,16,0,18,0,6,21,2,11,21,1,3,8,7,16,17,22,0,5,11,21,2,29,0,8,7,0,23,17,22,0,6,11,14,0,23,0,7,21,1,3,17,15,238,16,21,2,34,21,0,6,3,1,17,0,19,0,8,7,16,21,2,46,16,22,0,7,11,14,21,0,2,21,2,5,21,2,56,15,239,7,31,0,7,19,21,2,29,0,18,0,6,7,7,9,21,2,10,0,18,0,6,7,8,31,0,4,17,0,23,21,2,12,0,12,8,0,7,0,23,19,21,2,13,21,2,8,0,17,0,15,31,0,5,19,21,2,12,0,18,0,6,7,8,7,8,31,0,6,17,0,18,21,0,1,0,15,16,21,2,12,0,16,8,7,16,25,21,0,1,0,12,16,0,13,0,23,17,0,5,0,118,17,14,21,0,1,21,1,3,21,0,2,17,25,21,0,2,0,12,16,21,2,21,0,23,17,0,5,0,119,17,14,21,0,1,21,2,65,16,21,2,27,21,2,10,0,13,8,21,0,2,17,0,5,0,120,17,14,21,0,2,21,2,27,16,22,0,3,11,14,21,0,2,0,15,16,21,2,12,0,16,8,22,0,4,11,14,21,0,1,21,0,3,21,2,22,0,22,17,21,2,13,15,240,8,0,22,17,25,21,0,1,21,2,56,21,2,5,0,23,3,2,21,2,4,21,2,6,8,7,21,1,4,17,21,2,29,21,2,91,7,0,23,17,22,0,3,11,14,21,0,3,21,2,92,0,22,17,0,5,0,126,17,14,21,1,4,21,2,94,16,0,17,16,21,2,91,21,1,4,17,21,2,29,21,2,98,7,0,22,17,22,0,4,11,14,21,1,3,0,16,31,0,4,17,21,2,102,16,22,0,5,11,14,0,31,21,2,92,21,0,5,17,0,5,0,127,17,14,21,2,95,21,2,11,21,2,87,8,0,5,0,128,19,21,2,6,21,2,5,19,22,0,6,11,14,21,0,3,21,2,83,21,1,7,17,31,0,6,21,2,87,21,2,88,3,3,21,2,4,21,0,5,21,2,87,0,24,17,8,16,22,0,7,11,14,21,1,3,21,2,56,21,2,5,21,0,7,3,2,21,2,4,21,2,6,8,7,21,1,4,17,22,1,3,12,14,31,0,7,21,2,91,31,0,3,17,31,0,5,21,2,95,0,26,17,21,2,13,21,2,92,21,2,11,21,1,7,8,21,2,13,15,241,8,8,16,25,21,1,8,0,17,16,0,18,21,2,6,7,21,2,11,0,1,21,2,9,21,2,92,8,8,15,242,3,2,21,2,4,21,1,7,21,2,92,0,22,17,8,21,0,1,17,25,21,0,1,21,2,16,16,0,5,0,129,17,14,21,0,1,0,17,16,25,21,0,1,21,2,95,16,21,2,95,0,23,17,0,5,0,130,17,14,21,0,1,0,18,21,1,3,7,16,21,2,29,0,18,21,2,34,21,2,11,21,2,104,8,7,7,3,0,21,2,92,16,17,0,1,21,0,1,0,18,0,22,7,16,17,25,21,1,9,21,1,7,21,2,98,21,0,4,17,7,22,0,5,11,14,21,0,1,21,2,56,21,0,5,7,21,2,6,21,2,9,0,18,21,0,1,21,2,12,21,0,5,8,7,8,21,2,5,21,2,9,0,18,21,2,5,31,0,5,21,0,2,19,7,8,21,1,8,3,4,21,2,4,21,2,64,21,2,10,21,2,18,8,21,2,96,21,0,4,21,2,88,0,22,17,19,21,2,90,0,22,21,2,96,21,0,4,17,21,2,89,21,1,7,17,19,21,2,103,0,24,19,21,2,29,21,2,98,21,2,11,0,24,21,2,12,21,2,91,8,8,7,9,8,21,0,2,17,25,21,0,1,21,2,65,16,21,2,36,21,0,2,0,17,16,17,22,0,3,11,14,21,0,1,21,2,33,21,0,2,17,22,0,4,11,21,2,29,21,2,91,7,0,23,17,22,0,5,11,14,21,0,5,0,17,16,21,2,104,31,0,4,17,22,0,6,11,14,21,0,1,15,243,0,20,21,2,7,21,0,3,21,2,29,21,2,91,7,0,23,17,0,17,16,0,18,21,2,5,21,2,91,31,0,5,19,21,2,98,21,0,6,19,21,2,8,21,2,36,7,21,0,1,21,2,104,16,19,7,16,21,2,104,31,0,3,17,7,8,16,25,21,0,1,21,2,65,16,21,2,75,0,23,17,22,0,3,11,14,15,244,22,0,4,11,14,21,1,5,21,2,7,21,0,1,7,21,2,104,31,0,4,19,21,2,164,21,2,12,21,2,103,8,3,2,21,2,4,21,2,5,21,2,9,21,2,32,21,2,9,21,2,100,8,8,8,31,0,3,17,25,21,0,1,21,2,81,21,2,92,7,16,21,2,29,21,1,5,7,21,0,2,17,25,21,0,2,21,2,95,21,1,4,17,25,21,1,3,21,2,98,22,1,4,13,14,21,0,1,21,2,98,0,23,17,25,21,2,5,21,1,5,21,0,1,0,16,21,0,2,17,19,22,1,5,12,14,21,0,1,21,2,115,21,0,2,17,25,21,0,1,14,21,1,7,0,16,21,1,8,17,21,2,5,0,23,21,2,98,21,1,8,17,22,1,8,12,17,25,21,0,1,21,2,104,16,21,1,3,16,0,18,21,0,1,21,2,65,16,21,2,117,16,21,2,104,16,21,2,12,21,2,36,8,7,16,25,21,0,1,21,2,94,21,2,10,21,2,99,8,21,0,2,17,21,2,91,16,22,0,3,11,14,21,0,1,21,2,94,21,2,10,21,2,87,8,21,0,2,17,22,0,4,11,14,21,0,1,15,245,21,2,11,21,2,94,21,2,98,21,0,4,21,2,117,16,21,2,98,0,23,17,21,2,99,16,19,8,21,2,10,15,246,8,21,0,2,17,22,0,5,11,14,31,0,5,21,0,3,3,2,25,21,0,2,22,0,3,11,14,21,0,1,22,0,4,11,14,15,247,21,1,7,3,2,21,2,4,21,2,95,21,2,11,21,1,6,8,8,22,0,5,11,14,0,22,21,0,5,16,25,15,248,22,0,3,11,14,0,28,21,0,3,0,23,21,2,98,21,0,1,17,17,21,2,98,0,23,17,25,21,0,2,21,2,130,21,0,1,21,2,12,21,1,13,8,7,16,25,21,0,2,21,2,95,16,21,2,8,21,2,99,7,0,23,17,22,0,3,11,14,21,0,3,21,2,97,0,22,17,0,5,0,153,17,14,21,0,1,21,2,95,16,21,2,97,21,0,3,17,0,5,0,154,17,14,21,0,1,21,2,20,16,21,2,5,21,2,9,21,0,3,21,2,133,0,22,8,8,21,2,5,21,0,3,21,2,133,21,2,92,8,3,2,21,2,4,21,0,3,21,2,92,0,22,17,8,21,2,10,0,18,21,2,65,7,8,21,1,3,9,3,2,21,2,4,21,0,2,21,2,94,16,21,2,92,0,22,17,8,15,249,3,2,21,2,4,21,2,104,21,2,9,21,2,94,8,21,2,92,0,27,19,21,2,10,21,2,89,8,8,21,0,2,17,25,21,0,1,25,21,0,1,21,2,15,16,0,5,0,163,17,14,21,0,1,21,2,87,21,1,8,17,22,1,8,12,14,21,0,1,21,2,88,21,1,7,17,22,1,7,12,25,15,250,21,2,7,21,0,2,7,7,25,21,2,6,21,0,1,9,25,21,0,1,21,2,117,16,21,2,142,21,1,10,17,0,19,21,0,2,7,16,25,21,0,2,21,0,1,16,25,21,0,2,21,2,29,21,0,1,7,16,25,21,0,2,21,2,173,21,0,1,8,25,21,2,5,15,251,21,0,2,7,21,0,1,19,25,21,2,5,21,2,156,21,1,4,7,21,0,2,19,15,252,21,2,156,21,0,1,7,8,25,21,2,5,15,253,21,1,4,7,21,0,1,19,21,2,156,21,0,2,7,9,25,21,0,1,21,2,168,21,0,2,8,21,2,173,21,0,1,8,25,21,0,1,21,2,2,21,0,4,17,25,21,0,4,21,2,2,21,0,1,17,25,21,0,2,22,0,3,11,0,7,16,22,0,4,11,14,0,22,22,0,5,11,22,0,6,11,22,0,7,11,14,0,26,22,0,8,11,14,21,0,1,0,23,0,12,21,2,7,17,0,7,0,23,17,21,3,13,0,18,0,8,21,3,11,21,2,7,8,7,8,16,21,3,12,0,16,8,21,3,10,21,1,5,8,22,0,9,11,14,21,0,9,0,22,0,23,0,24,3,4,22,0,10,11,14,0,6,15,254,3,2,0,16,21,0,3,0,13,0,27,17,17,22,0,11,11,14,15,255,22,0,12,11,14,15,256,15,257,31,0,12,3,3,21,3,4,15,258,8,22,0,13,11,14,21,0,1,0,18,21,0,1,21,3,12,15,259,8,7,16,25,21,1,6,21,1,7,0,12,21,0,1,17,21,3,13,15,260,8,16,25,0,22,21,0,1,3,2,21,3,4,21,0,2,8,25,21,0,0,0,22,3,2,25,21,0,2,22,0,3,11,14,21,0,1,21,3,56,0,15,7,16,22,0,4,11,0,16,0,22,17,21,3,27,16,22,0,5,11,14,0,28,22,0,6,11,14,31,0,4,21,3,12,21,3,56,0,16,7,8,21,3,12,21,1,5,8,22,0,7,11,14,15,261,25,21,0,1,15,262,0,18,21,0,0,7,3,2,21,3,4,21,3,14,8,16,25,21,0,1,21,1,7,16,22,0,3,22,0,4,4,2,11,14,31,0,3,22,1,7,12,14,31,0,4,25,21,0,1,21,3,14,0,7,0,23,19,21,3,13,21,3,22,8,16,22,0,1,12,14,21,0,1,0,14,16,22,0,3,11,21,3,29,0,8,7,0,23,17,22,0,4,11,14,21,0,2,0,18,0,16,21,3,11,0,22,8,7,16,22,0,5,11,14,21,0,5,0,22,21,3,42,21,3,39,8,16,22,0,6,11,14,21,0,6,0,18,21,0,2,21,3,12,0,16,8,0,16,0,23,19,7,16,22,0,7,11,14,21,3,7,31,0,5,7,0,16,21,0,6,21,3,12,0,16,8,19,21,0,4,3,2,21,3,4,0,13,21,3,11,31,0,6,21,3,27,16,8,8,22,0,8,11,14,0,22,22,0,9,11,21,0,8,16,22,0,10,11,14,31,0,4,0,17,16,0,18,21,0,1,0,15,16,21,3,12,0,16,8,15,263,3,2,21,3,4,15,264,8,7,16,0,15,31,0,3,17,25,21,0,1,21,3,56,21,3,6,0,12,21,0,1,21,0,5,16,19,21,3,13,21,0,4,8,7,21,0,1,21,3,27,16,0,17,16,17,25,21,0,1,0,15,21,3,9,21,3,7,21,2,7,7,0,16,21,0,2,19,21,1,4,21,0,0,21,3,11,21,0,2,0,6,0,23,17,8,8,8,0,15,0,14,19,21,1,3,3,2,21,3,4,21,2,7,21,3,27,16,21,3,21,21,0,2,17,8,16,25,21,0,1,3,1,3,0,21,3,34,3,2,21,3,4,21,3,6,21,3,14,9,8,21,1,6,17,22,1,6,12,25,21,0,1,21,2,7,21,1,6,8,25,21,0,4,21,0,1,21,0,2,17,25,0,22,21,3,7,21,1,3,21,0,1,7,7,16,21,2,16,16,25,0,22,21,3,7,21,0,2,21,1,3,21,0,1,8,7,16,21,2,16,16,25,21,0,1,22,2,4,12,21,3,8,0,16,7,21,2,6,17,22,2,5,12,14,0,28,22,2,3,12,25,21,1,5,22,0,3,11,14,21,0,1,21,1,6,22,1,5,13,14,31,0,3,25,21,0,1,21,3,34,21,0,1,21,3,27,16,0,7,21,0,2,17,0,17,21,3,9,0,18,0,23,7,8,16,17,25,21,0,1,0,18,0,6,7,21,0,2,0,18,21,0,4,21,3,12,0,8,8,7,16,17,25,21,0,1,0,23,21,3,12,0,12,8,0,7,0,23,19,21,3,13,21,1,5,21,0,2,7,21,3,11,0,17,8,8,21,1,7,17,21,1,5,21,0,2,0,8,21,1,7,17,7,22,1,6,13,14,0,23,22,1,7,12,14,21,0,1,21,3,27,16,25,21,0,2,0,8,22,1,7,13,14,21,0,2,25,21,0,1,14,0,23,22,1,9,12,25,21,1,3,0,7,21,1,4,21,3,27,16,17,0,17,16,0,18,0,6,21,3,11,21,1,3,8,21,3,8,0,16,7,21,1,4,19,7,16,22,0,3,11,21,3,34,22,1,10,13,14,31,0,3,21,3,29,0,8,7,21,1,7,17,0,12,21,3,11,0,23,8,0,7,0,23,19,21,3,13,15,265,8,16,14,21,0,1,0,15,16,21,3,12,0,16,8,22,0,4,11,14,21,1,9,21,3,5,21,3,13,15,266,8,21,0,1,17,14,21,1,6,0,15,21,1,10,17,0,18,21,0,4,7,16,25,21,0,1,0,17,16,0,18,0,7,21,3,11,21,0,1,8,21,3,8,0,16,7,21,1,3,19,7,16,25,21,0,1,0,17,16,0,18,0,8,21,3,11,21,0,2,8,7,16,25,21,0,1,0,23,0,7,21,1,3,17,21,3,22,21,0,2,17,21,3,13,21,3,81,21,0,0,21,3,11,21,0,2,0,6,0,23,17,8,7,8,16,21,2,3,21,0,2,21,1,4,16,17,25,21,2,7,21,3,99,21,0,1,17,0,17,16,0,18,21,2,6,0,1,16,7,16,21,3,34,22,2,6,13,14,21,2,7,25,21,0,1,21,3,86,21,2,7,17,0,18,21,2,6,21,3,12,0,16,8,7,16,25,21,1,6,0,18,21,0,1,21,3,92,16,7,16,25,21,0,2,21,3,94,16,21,3,92,0,22,17,0,5,0,135,17,14,21,0,2,21,3,94,16,0,17,16,21,3,92,0,22,17,21,3,91,21,0,2,17,25,21,0,2,0,18,21,0,1,21,3,12,0,16,8,7,16,25,21,0,1,21,3,95,21,0,2,17,0,19,21,3,89,7,16,21,3,29,21,3,98,7,0,22,17,22,0,3,11,14,21,0,3,21,3,117,16,0,18,21,0,2,21,3,12,0,16,8,7,16,21,3,29,21,3,91,7,0,23,17,22,0,4,11,14,31,0,3,21,3,93,21,3,11,21,1,4,8,21,3,13,21,0,2,21,0,1,3,2,21,3,12,21,3,56,0,16,7,8,21,3,9,15,267,8,8,16,14,21,0,4,25,21,1,4,21,3,98,21,3,11,21,0,1,8,21,3,10,21,2,5,8,21,1,3,17,21,3,95,21,3,11,0,22,8,21,3,13,21,0,1,21,3,98,0,23,17,21,3,9,21,1,5,8,8,16,25,21,0,1,0,23,21,3,12,21,3,93,8,21,3,13,15,268,8,21,0,2,17,25,21,0,2,21,3,135,16,21,3,118,16,22,0,3,11,14,21,0,1,21,3,134,21,0,2,21,3,36,21,0,3,17,17,21,3,8,21,3,99,7,0,23,17,21,3,88,0,22,17,21,3,8,21,3,36,7,31,0,3,17,22,0,4,11,14,21,0,1,21,1,3,21,3,133,21,3,64,8,21,0,2,21,3,36,21,0,4,17,17,21,2,2,21,3,13,21,3,91,21,3,11,21,3,99,21,3,11,31,0,4,8,8,21,3,98,21,3,6,19,8,21,0,2,21,3,94,16,17,25,21,3,6,21,0,1,21,0,4,19,25,21,0,1,21,3,175,16,25,21,0,1,21,0,5,16,21,0,4,21,0,2,17,25,21,0,1,21,3,175,16,25,21,0,1,21,1,8,0,7,0,23,17,21,4,13,21,1,9,0,7,0,23,19,21,4,13,15,269,8,8,0,23,0,7,21,0,1,17,17,25,21,0,2,0,6,21,1,3,17,22,1,4,12,14,21,0,1,0,6,21,1,3,17,22,1,7,12,21,2,6,16,22,1,6,12,0,6,21,1,3,17,21,2,6,16,22,1,5,12,14,21,1,7,0,13,21,3,6,17,22,1,8,12,14,21,1,6,21,1,11,16,14,21,1,7,21,1,13,21,1,4,17,25,21,0,2,0,6,0,23,17,22,1,4,12,0,12,21,1,6,17,0,8,0,24,17,0,6,22,1,8,13,14,21,0,2,25,21,0,1,0,6,0,23,17,22,1,7,12,0,12,21,1,5,17,0,6,22,1,8,13,14,21,0,1,25,21,0,1,21,1,10,21,4,4,21,1,8,8,21,0,2,17,25,21,0,1,0,16,21,1,7,21,1,13,21,1,4,17,17,25,0,23,0,6,21,0,1,17,21,2,4,16,22,2,6,12,21,2,5,16,22,2,7,12,14,21,2,6,25,0,23,0,6,22,1,6,13,14,21,1,6,21,1,7,21,4,11,21,4,7,21,0,0,7,8,21,4,7,21,1,3,7,3,2,21,4,4,0,13,21,4,11,21,1,5,8,8,16,22,0,3,11,14,0,22,31,0,3,16,25,21,0,1,14,0,23,0,6,22,2,6,13,25,21,0,1,14,21,1,7,0,16,21,1,9,17,22,0,3,11,14,0,22,15,270,16,22,1,10,12,14,21,0,3,25,21,0,1,0,12,21,1,10,17,25,21,0,1,0,17,16,21,2,5,21,0,1,7,22,2,6,13,25,21,4,7,21,0,2,0,1,16,7,21,1,4,3,2,21,4,4,0,13,21,4,11,0,22,8,8,22,1,4,12,25,21,0,1,21,4,29,21,4,99,7,16,21,4,91,16,22,2,3,12,14,21,0,1,21,4,29,21,4,87,7,16,21,4,91,21,1,4,17,22,1,4,12,25,0,24,21,4,83,21,0,2,17,21,4,87,16,22,0,3,11,21,4,98,21,0,1,17,22,0,4,11,21,3,2,16,22,0,5,11,14,21,0,1,31,0,4,3,2,0,16,21,0,5,17,21,2,3,21,0,2,21,4,86,0,24,17,21,4,91,31,0,5,17,21,4,98,31,0,3,17,17,25,21,0,1,14,0,24,22,2,8,12,14,21,2,4,22,2,7,12,14,21,0,1,22,2,4,12,25,21,2,9,0,6,0,23,17,22,2,9,12,21,2,8,16,21,5,5,0,12,21,2,10,19,21,5,13,15,271,21,5,9,21,0,0,8,8,16,25,21,0,1,14,21,3,7,0,16,21,3,9,17,21,6,62,21,2,3,17,0,5,0,96,17,25]
  ,provide.concat([0,1,2,32,3,8,-1,5,-Infinity,4,Infinity,-2,'∾','+','-','×','÷','⋆','¬','⌊','⌈','∨','∧','≠','=','>','≥','√','<','⊢','⊣','≍','↑','↓','↕','⌽','⍉','/','⊔','˜','¨','⌜','˘','`','∘','○','⌾','⍟','⊘','⊸','⟜','◶','≢','»','«','⥊','⊏','⊑',str("+-×÷⋆√⌊⌈|¬∧∨<>≠=≤≥≡≢⊣⊢⥊∾≍↑↓↕«»⌽⍉/⍋⍒⊏⊑⊐⊒∊⍷⊔!˙˜˘¨⌜⁼´˝`∘○⊸⟜⌾⊘◶⎉⚇⍟%"),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("/: Replication argument must have rank 1"),str("/: Amounts to replicate must be natural numbers"),str("⌽𝕩: 𝕩 must have rank at least 1"),str("𝕨⌽𝕩: 𝕨 must consist of integers"),str("↑𝕩: 𝕩 must have rank at least 1"),str("↓𝕩: 𝕩 must have rank at least 1"),str("⊏𝕩: 𝕩 must have rank at least 1"),str("⊏𝕩: 𝕩 cannot have length 0"),str("𝕨⊏𝕩: 𝕨 must be an array"),str("𝕨⊏𝕩: Indices in 𝕨 must be integers"),str("𝕨⊏𝕩: Indices out of range"),str("⌾: Incompatible result elements in structural Under"),str(">𝕩: Elements of 𝕩 must have matching shapes"),str("∾𝕩: Elements of 𝕩 must all have the same rank"),str("∾𝕩: 𝕩 element rank must be at least argument rank"),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("𝕨"),str("𝕩: 𝕨 must "),str("have rank at most 1"),str("consist of integers"),str("↑"),str("↓"),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("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("First-axis primitive: 𝕩 must have rank at least 1"),str("Multi-axis primitive: 𝕨 must have rank at most 1"),str("Multi-axis primitive: Length of 𝕨 must be at most rank of 𝕩"),str("≥: No monadic form"),str("≤: No monadic form"),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("↕𝕩: 𝕩 must consist of natural numbers"),str("↕𝕩: 𝕩 must be a number or list"),str("⎉ or ⚇: 𝔽 result must have rank at most 1"),str("⎉ or ⚇: 𝔽 result must have 1 to 3 elements"),str("⎉ or ⚇: 𝔽 result must consist of integers"),str("˝: 𝕩 must have rank at least 1"),str("˝: Identity does not exist"),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("𝕨/𝕩: Lengths of components of 𝕨 must match 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: 𝕩 must be an array"),str("𝕨⊔𝕩: Compound 𝕨 must be a list"),str("𝕨⊔𝕩: Total rank of 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: Indices in compound 𝕨 must be lists"),str("𝕨⊑𝕩: Index length in 𝕨 must match rank of 𝕩"),str("𝕨⊑𝕩: Indices in 𝕨 must consist of integers"),str("𝕨⊑𝕩: Index out of range"),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("⍷𝕩: Rank of 𝕨 cannot exceed rank of 𝕩"),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("⊒: Rank of 𝕨 must be at least 1"),str("⊒: Rank of 𝕩 must be at least cell rank of 𝕨"),str("⍟: Repetition numbers in 𝕨 must be integers"),str("´: Identity not found"),str("⁼: Inverse failed"),str("⁼: Inverse does not exist"),str("⁼: Inverse not found"),str("Cannot currently invert blocks"),str("Cannot invert modifier")])
- ,[[0,1,0,183],[0,0,4068,3],[0,0,4076,3],[0,0,4080,3],[2,0,4093,6],[0,0,4120,3],[0,0,4124,3],[0,0,4128,3],[1,0,4132,5],[1,0,4140,5],[2,0,4158,6],[2,0,4173,6],[2,0,4192,6],[2,0,4214,6],[2,0,4236,6],[0,0,4268,3],[0,0,4280,3],[0,0,4289,3],[0,0,4295,3],[0,0,4312,3],[0,0,4321,3],[1,0,4330,9],[1,1,4443,2],[2,1,4474,3],[0,0,4508,3],[0,0,4516,3],[0,0,4556,4],[0,0,4632,5],[0,0,4707,3],[1,1,4724,4],[1,1,4797,3],[0,0,4875,3],[0,0,4886,5],[2,0,4970,12],[0,0,5181,4],[0,0,5235,6],[0,0,5325,3],[0,0,5350,7],[0,0,5479,4],[0,0,5540,4],[0,0,5653,3],[0,0,5721,4],[1,1,5798,2],[0,0,5831,3],[0,0,5881,4],[0,0,6023,4],[2,1,6124,3],[1,0,6167,5],[0,0,6205,3],[2,0,6209,11],[0,0,6340,3],[0,0,6348,6],[0,0,6375,5],[0,0,6396,6],[1,0,6423,19],[0,0,6932,3],[0,0,6959,3],[0,0,6985,3],[2,1,7024,3],[0,0,7093,4],[0,0,7190,7],[0,0,7237,14],[0,0,7471,5],[1,1,7568,8],[1,0,7621,6],[1,1,7729,2],[0,0,7787,5],[0,0,7949,5],[0,0,8086,7],[0,0,8255,3],[0,0,8314,4],[1,0,8381,5],[2,1,8398,4],[0,0,8441,3],[0,0,8468,3],[0,0,8490,3],[0,0,8512,3],[0,0,8531,9],[0,0,8696,5],[0,0,8730,3],[1,1,8827,2],[2,0,8896,10],[2,0,8955,8],[1,0,9148,7],[0,0,9215,8],[0,0,9455,5],[0,0,9545,3],[1,0,9579,9],[0,0,9734,4],[0,0,9853,10],[0,0,10317,4],[0,0,10534,3],[0,0,10552,4],[1,0,10626,9],[1,1,10695,3],[1,0,10719,14],[1,1,11176,4],[1,0,11230,6],[0,0,11374,4],[0,0,11482,3],[0,0,11558,3],[0,0,11613,4],[0,0,11746,4],[0,0,11868,4],[2,0,11989,6],[1,1,12017,2],[2,0,12025,14],[2,1,12212,4],[0,0,12282,3],[2,0,12289,7],[0,0,12330,6],[0,0,12554,4],[0,0,12660,3],[0,0,12698,5],[0,0,12842,3],[0,0,12889,3],[0,0,12915,3],[1,0,13006,5],[2,0,13034,6],[0,0,13049,3],[0,0,13057,3],[1,1,13078,2],[0,0,13107,3],[0,0,13143,3],[0,0,13191,3],[0,0,13245,3],[0,0,13257,3],[0,0,13337,3],[1,1,13345,2],[1,1,13378,2],[0,0,13408,4],[0,0,13445,3],[0,0,13460,3],[0,0,13489,3],[0,0,13504,3],[0,0,13522,3],[0,0,13537,3],[0,0,13547,3],[0,0,13604,7],[0,0,13683,3],[0,0,13691,3],[1,1,13716,2],[0,0,13799,3],[0,0,13833,3],[1,1,13861,2],[1,1,13865,2],[0,0,13869,3],[0,0,13881,3],[0,0,13904,3],[0,0,13925,3],[1,0,13933,6],[1,0,14050,11],[1,0,14271,5],[0,0,14286,3],[0,0,14300,3],[0,0,14314,3],[1,0,14359,8],[0,0,14497,8],[0,0,14664,3],[0,0,14690,3],[0,0,14700,3],[0,0,14717,9],[0,0,14900,6],[0,0,14975,3],[2,0,14983,11],[1,0,15060,5],[0,0,15091,3],[0,0,15101,3],[1,0,15111,5],[0,0,15144,4],[0,0,15155,4],[0,0,15166,3],[0,0,15174,3],[0,0,15186,3],[0,0,15194,3],[1,0,15238,7],[0,0,15264,9],[1,0,15550,5],[0,0,15566,7],[0,0,15733,11],[0,0,15975,8],[0,0,16287,3],[0,0,16315,5],[0,0,16410,8],[0,0,16669,3],[0,0,16716,3],[0,0,16736,3],[1,0,16802,6],[0,0,16955,7],[0,0,17097,5],[0,0,17177,3],[0,0,17200,3],[0,0,17211,3],[0,0,17232,3],[0,0,17264,3],[0,0,17295,3],[0,0,17333,6],[0,0,17438,6],[0,0,17487,4],[0,0,17516,3],[0,0,17535,4],[1,1,17712,2],[0,0,17716,3],[0,0,17759,3],[0,0,17770,3],[0,0,17778,3],[0,0,17800,3],[0,0,17808,3],[0,0,17820,3],[0,0,17831,3],[0,0,17850,3],[0,0,17875,3],[0,0,17902,3],[1,0,17920,5],[1,0,17931,5],[0,0,17942,14],[0,0,18112,3],[0,0,18132,3],[0,0,18147,3],[0,0,18155,8],[0,0,18226,3],[0,0,18248,5],[0,0,18277,11],[2,0,18489,6],[0,0,18528,3],[0,0,18599,3],[0,0,18631,3],[1,0,18642,5],[1,1,18653,2],[2,1,18672,3],[0,0,18694,3],[0,0,18723,4],[0,0,18746,3],[1,0,18779,5],[0,0,18805,3],[0,0,18875,3],[0,0,18889,3],[0,0,18900,5],[0,0,19036,3],[0,0,19066,3],[0,0,19086,3],[0,0,19140,3],[0,0,19175,3],[0,0,19199,3],[0,0,19214,3],[0,0,19257,3],[0,0,19274,5],[0,0,19388,3],[0,0,19443,3],[0,0,19466,5],[1,0,19595,5],[2,0,19606,6],[0,0,19621,3],[0,0,19660,3],[0,0,19743,3],[0,0,19777,3],[0,0,19806,3],[0,0,19824,3],[0,0,19841,3],[0,0,19870,4],[0,0,19931,3],[0,0,19944,4],[0,0,19976,3],[0,0,19986,3],[0,0,20004,3],[0,0,20036,3],[0,0,20079,6],[0,0,20158,3],[0,0,20185,3],[0,0,20225,3]]
+ ,[[0,1,0,184],[0,0,4076,3],[0,0,4084,3],[0,0,4088,3],[2,0,4101,6],[0,0,4128,3],[0,0,4132,3],[0,0,4136,3],[1,0,4140,5],[1,0,4148,5],[2,0,4166,6],[2,0,4181,6],[2,0,4200,6],[2,0,4222,6],[2,0,4244,6],[0,0,4276,3],[0,0,4288,3],[0,0,4297,3],[0,0,4303,3],[0,0,4320,3],[0,0,4329,3],[1,0,4338,9],[1,1,4451,2],[2,1,4482,3],[0,0,4516,3],[0,0,4524,3],[0,0,4564,4],[0,0,4640,5],[0,0,4715,3],[1,1,4732,4],[1,1,4805,3],[0,0,4883,3],[0,0,4894,5],[2,0,4978,12],[0,0,5189,4],[0,0,5243,6],[0,0,5333,3],[0,0,5358,7],[0,0,5487,4],[0,0,5548,4],[0,0,5661,3],[0,0,5729,4],[1,1,5806,2],[0,0,5839,3],[0,0,5889,4],[0,0,6031,4],[2,1,6132,3],[1,0,6175,5],[0,0,6213,3],[2,0,6217,11],[0,0,6348,3],[0,0,6356,6],[0,0,6383,5],[0,0,6404,6],[1,0,6431,19],[0,0,6940,3],[0,0,6967,3],[0,0,6993,3],[2,1,7032,3],[0,0,7101,4],[0,0,7198,7],[0,0,7245,14],[0,0,7479,5],[1,1,7576,8],[1,0,7629,6],[1,1,7737,2],[0,0,7795,5],[0,0,7957,5],[0,0,8094,7],[0,0,8263,3],[0,0,8322,4],[1,0,8389,5],[2,1,8406,4],[0,0,8449,3],[0,0,8476,3],[0,0,8498,3],[0,0,8520,3],[0,0,8539,9],[0,0,8704,5],[0,0,8738,3],[1,1,8835,2],[2,0,8904,10],[2,0,8963,8],[1,0,9156,7],[0,0,9223,8],[0,0,9463,5],[0,0,9553,3],[1,0,9587,9],[0,0,9742,4],[0,0,9861,10],[0,0,10325,4],[0,0,10542,3],[0,0,10560,4],[1,0,10634,9],[1,1,10703,3],[1,0,10727,14],[1,1,11184,4],[1,0,11238,6],[0,0,11382,4],[0,0,11490,3],[0,0,11566,3],[0,0,11621,4],[0,0,11754,4],[0,0,11876,4],[2,0,11997,6],[1,1,12025,2],[2,0,12033,14],[2,1,12220,4],[0,0,12290,3],[2,0,12297,7],[0,0,12338,6],[0,0,12562,4],[0,0,12668,3],[0,0,12706,5],[0,0,12850,3],[0,0,12897,3],[0,0,12923,3],[1,0,13014,5],[2,0,13042,6],[0,0,13057,3],[0,0,13065,3],[1,1,13086,2],[0,0,13115,3],[0,0,13151,3],[0,0,13199,3],[0,0,13253,3],[0,0,13265,3],[0,0,13345,3],[1,1,13353,2],[1,1,13386,2],[0,0,13416,4],[0,0,13453,3],[0,0,13468,3],[0,0,13497,3],[0,0,13512,3],[0,0,13530,3],[0,0,13545,3],[0,0,13555,3],[0,0,13612,7],[0,0,13691,3],[0,0,13699,3],[1,1,13724,2],[0,0,13807,3],[0,0,13841,3],[1,1,13869,2],[1,1,13873,2],[0,0,13877,3],[0,0,13889,3],[0,0,13912,3],[0,0,13933,3],[1,0,13941,6],[1,0,14058,11],[1,0,14279,5],[0,0,14294,3],[0,0,14308,3],[0,0,14322,3],[1,0,14367,8],[0,0,14505,8],[0,0,14672,3],[0,0,14698,3],[0,0,14708,3],[0,0,14725,9],[0,0,14908,6],[0,0,14983,3],[2,0,14991,11],[1,0,15068,5],[0,0,15099,3],[0,0,15109,3],[1,0,15119,5],[0,0,15152,4],[0,0,15163,4],[0,0,15174,3],[0,0,15182,3],[0,0,15194,3],[0,0,15202,3],[1,0,15246,7],[0,0,15272,9],[1,0,15558,5],[0,0,15574,7],[0,0,15741,11],[0,0,15983,8],[0,0,16295,3],[0,0,16323,5],[0,0,16418,8],[0,0,16677,3],[0,0,16724,3],[0,0,16744,3],[1,0,16810,6],[0,0,16963,7],[0,0,17105,5],[0,0,17185,3],[0,0,17208,3],[0,0,17219,3],[0,0,17240,3],[0,0,17272,3],[0,0,17303,3],[0,0,17341,6],[0,0,17446,6],[0,0,17495,4],[0,0,17524,3],[0,0,17543,4],[1,1,17720,2],[0,0,17724,3],[0,0,17767,3],[0,0,17778,3],[0,0,17786,3],[0,0,17808,3],[0,0,17816,3],[0,0,17828,3],[0,0,17839,3],[0,0,17853,3],[0,0,17878,3],[0,0,17900,3],[1,0,17918,5],[1,0,17929,5],[0,0,17940,14],[0,0,18110,3],[0,0,18130,3],[0,0,18145,3],[0,0,18153,8],[0,0,18224,3],[0,0,18246,5],[0,0,18275,11],[2,0,18487,6],[0,0,18526,3],[0,0,18597,3],[0,0,18629,3],[1,0,18640,5],[1,1,18651,2],[2,1,18670,3],[0,0,18692,3],[0,0,18721,4],[0,0,18744,3],[1,0,18777,5],[0,0,18803,3],[0,0,18873,3],[0,0,18887,3],[0,0,18898,5],[0,0,19034,3],[0,0,19064,3],[0,0,19084,3],[0,0,19138,3],[0,0,19173,3],[0,0,19197,3],[0,0,19212,3],[0,0,19255,3],[0,0,19272,5],[0,0,19386,3],[0,0,19441,3],[0,0,19464,5],[1,0,19593,5],[1,1,19604,2],[2,0,19612,6],[1,1,19627,2],[0,0,19635,3],[0,0,19674,3],[0,0,19757,3],[0,0,19791,3],[0,0,19820,3],[0,0,19838,3],[0,0,19855,3],[0,0,19884,4],[0,0,19945,3],[0,0,19958,4],[0,0,19990,3],[0,0,20000,3],[0,0,20018,3],[0,0,20050,3],[0,0,20093,6],[0,0,20172,3],[0,0,20199,3],[0,0,20239,3]]
 );
 
 let rtAssert = runtime[42] = assertFn("!");
diff --git a/src/r.bqn b/src/r.bqn
index d818f944..621b3548 100644
--- a/src/r.bqn
+++ b/src/r.bqn
@@ -771,18 +771,19 @@ PrimInverse ← INF _lookup_ ⟨
 ⌜ ↩ {𝕨𝔽⌜_fillByPure_𝔽○ToArray𝕩}
 _inv_ ← {𝕘⋄𝕨𝔽𝕩}
 AtopInverse ← {(𝕏𝕎)⊘(𝕏⟜𝕎)}○{Inverse𝕩}
+SwapInverse ← INF _lookup_ ⟨
+  '+', ÷⟜2⊘(-˜)
+  '-', IA∘0⊘+
+  '×', √⊘(÷˜)
+  '÷', IA∘0⊘×
+  '⋆', IA∘0⊘√
+  '√', IA∘0⊘(÷Log)
+  '∧', √⊘(÷˜)
+  '∨', (¬√∘¬)⊘(-˜÷1-⊣)
+  '¬', IA∘0⊘(+-1˙)
+⟩
 Mod1Inverse ← INF˙ _lookup_ ⟨
-  '˜', INF _lookup_ ⟨
-    '+', ÷⟜2⊘(-˜)
-    '-', IA∘0⊘+
-    '×', √⊘(÷˜)
-    '÷', IA∘0⊘×
-    '⋆', IA∘0⊘√
-    '√', IA∘0⊘(÷Log)
-    '∧', √⊘(÷˜)
-    '∨', (¬√∘¬)⊘(-˜÷1-⊣)
-    '¬', IA∘0⊘(+-1˙)
-  ⟩
+  '˜', SwapInverse
   '¨', {𝕏⁼¨                     ⊣·IX 0<≡∘⊢}
   '⌜', {𝕏⁼⌜⊘(IA∘0)              ⊣·IX 0<≡∘⊢}
   '˘', {(IX∘IsArray⊸⊢𝕏⁼)˘       ⊣·IX 0<=∘⊢}
@@ -798,14 +799,14 @@ Mod2Inverse ← INF˙ _lookup_ ⟨
   '⍟', Int∘⊢◶⟨IA∘0˙,0⊸≤◶{𝕎⍟(-𝕩)_invChk_(𝕎⍟𝕩)}‿{𝕎⍟(-𝕩)}⟩
   '⊘', {(𝕎⁼)⊘(𝕏⁼)}
   '⊸', IsConstant∘⊣ ⊣◶{INF⊘𝕏}‿⊢ {𝕎⊸(𝕏⁼)}
-  '⟜', {(𝕨IsConstant∘⊢◶⟨IA∘0˙,{𝕩𝕎˜⁼⊢}⟩𝕩)⊘(𝕏⁼𝕎⁼)}
+  '⟜', {(𝕨IsConstant∘⊢◶⟨IA∘0˙,{𝕩𝕎{SwapInverse𝕗}⊢}⟩𝕩)⊘(𝕏⁼𝕎⁼)}
 ⟩ { inv˙⊸=◶⟨𝔽,{𝕏_inv_𝕎}˙⟩ } {
   0‿2⊸⊏ {𝕏´𝕨}⟜𝔽 1⊸⊑
 }
 TrainInverse ← {
   f‿g‿h←𝕩
   K←¬IsConstant
-  f K∘⊣◶⟨{𝕏⁼{𝕨𝔽𝔾𝕩}(𝕨G⁼⊢)},K∘⊢◶⟨{𝕎⁼𝕩G˜⁼⊢},INF˙⟩⟩ h
+  f K∘⊣◶⟨{𝕏⁼{𝕨𝔽𝔾𝕩}(𝕨G⁼⊢)},K∘⊢◶⟨{𝕎⁼𝕩G{SwapInverse𝕗}⊢},INF˙⟩⟩ h
 }
 FuncInverse ← (⊑ ⊣◶⟨
   PrimInverse∘⊑⊢                         # 0 primitive