input_test
stringlengths 19
23
| scratchpad
stringlengths 151
283
| result_final
stringlengths 1
4
|
---|---|---|
Input:
516+427
Target:
| Input:
516+427
Target:
<scratch>
[5,1,6] has 3 digits.
[4,2,7] has 3 digits.
[5,1,6] + [4,2,7] , A=[] , C=0 , 6+7+0=13 , A->3 , C->1
[5,1] + [4,2] , A=[3] , C=1 , 1+2+1=4 , A->4 , C->0
[5] + [4] , A=[4,3] , C=0 , 5+4+0=9 , A->9 , C->0
[] + [] , A=[9,4,3] C=0 , END
</scratch>
943
| 943 |
Input:
495+324
Target:
| Input:
495+324
Target:
<scratch>
[4,9,5] has 3 digits.
[3,2,4] has 3 digits.
[4,9,5] + [3,2,4] , A=[] , C=0 , 5+4+0=9 , A->9 , C->0
[4,9] + [3,2] , A=[9] , C=0 , 9+2+0=11 , A->1 , C->1
[4] + [3] , A=[1,9] , C=1 , 4+3+1=8 , A->8 , C->0
[] + [] , A=[8,1,9] C=0 , END
</scratch>
819
| 819 |
Input:
31+147
Target:
| Input:
31+147
Target:
<scratch>
[3,1] has 2 digits.
[1,4,7] has 3 digits.
[3,1] + [1,4,7] , A=[] , C=0 , 1+7+0=8 , A->8 , C->0
[3] + [1,4] , A=[8] , C=0 , 3+4+0=7 , A->7 , C->0
[] + [1] , A=[7,8] , C=0 , 0+1+0=1 , A->1 , C->0
[] + [] , A=[1,7,8] C=0 , END
</scratch>
178
| 178 |
Input:
633+958
Target:
| Input:
633+958
Target:
<scratch>
[6,3,3] has 3 digits.
[9,5,8] has 3 digits.
[6,3,3] + [9,5,8] , A=[] , C=0 , 3+8+0=11 , A->1 , C->1
[6,3] + [9,5] , A=[1] , C=1 , 3+5+1=9 , A->9 , C->0
[6] + [9] , A=[9,1] , C=0 , 6+9+0=15 , A->5 , C->1
[] + [] , A=[5,9,1] C=1 , END
</scratch>
1591
| 1591 |
Input:
81+965
Target:
| Input:
81+965
Target:
<scratch>
[8,1] has 2 digits.
[9,6,5] has 3 digits.
[8,1] + [9,6,5] , A=[] , C=0 , 1+5+0=6 , A->6 , C->0
[8] + [9,6] , A=[6] , C=0 , 8+6+0=14 , A->4 , C->1
[] + [9] , A=[4,6] , C=1 , 0+9+1=10 , A->0 , C->1
[] + [] , A=[0,4,6] C=1 , END
</scratch>
1046
| 1046 |
Input:
490+931
Target:
| Input:
490+931
Target:
<scratch>
[4,9,0] has 3 digits.
[9,3,1] has 3 digits.
[4,9,0] + [9,3,1] , A=[] , C=0 , 0+1+0=1 , A->1 , C->0
[4,9] + [9,3] , A=[1] , C=0 , 9+3+0=12 , A->2 , C->1
[4] + [9] , A=[2,1] , C=1 , 4+9+1=14 , A->4 , C->1
[] + [] , A=[4,2,1] C=1 , END
</scratch>
1421
| 1421 |
Input:
103+843
Target:
| Input:
103+843
Target:
<scratch>
[1,0,3] has 3 digits.
[8,4,3] has 3 digits.
[1,0,3] + [8,4,3] , A=[] , C=0 , 3+3+0=6 , A->6 , C->0
[1,0] + [8,4] , A=[6] , C=0 , 0+4+0=4 , A->4 , C->0
[1] + [8] , A=[4,6] , C=0 , 1+8+0=9 , A->9 , C->0
[] + [] , A=[9,4,6] C=0 , END
</scratch>
946
| 946 |
Input:
142+954
Target:
| Input:
142+954
Target:
<scratch>
[1,4,2] has 3 digits.
[9,5,4] has 3 digits.
[1,4,2] + [9,5,4] , A=[] , C=0 , 2+4+0=6 , A->6 , C->0
[1,4] + [9,5] , A=[6] , C=0 , 4+5+0=9 , A->9 , C->0
[1] + [9] , A=[9,6] , C=0 , 1+9+0=10 , A->0 , C->1
[] + [] , A=[0,9,6] C=1 , END
</scratch>
1096
| 1096 |
Input:
306+859
Target:
| Input:
306+859
Target:
<scratch>
[3,0,6] has 3 digits.
[8,5,9] has 3 digits.
[3,0,6] + [8,5,9] , A=[] , C=0 , 6+9+0=15 , A->5 , C->1
[3,0] + [8,5] , A=[5] , C=1 , 0+5+1=6 , A->6 , C->0
[3] + [8] , A=[6,5] , C=0 , 3+8+0=11 , A->1 , C->1
[] + [] , A=[1,6,5] C=1 , END
</scratch>
1165
| 1165 |
Input:
24+612
Target:
| Input:
24+612
Target:
<scratch>
[2,4] has 2 digits.
[6,1,2] has 3 digits.
[2,4] + [6,1,2] , A=[] , C=0 , 4+2+0=6 , A->6 , C->0
[2] + [6,1] , A=[6] , C=0 , 2+1+0=3 , A->3 , C->0
[] + [6] , A=[3,6] , C=0 , 0+6+0=6 , A->6 , C->0
[] + [] , A=[6,3,6] C=0 , END
</scratch>
636
| 636 |
Input:
988+946
Target:
| Input:
988+946
Target:
<scratch>
[9,8,8] has 3 digits.
[9,4,6] has 3 digits.
[9,8,8] + [9,4,6] , A=[] , C=0 , 8+6+0=14 , A->4 , C->1
[9,8] + [9,4] , A=[4] , C=1 , 8+4+1=13 , A->3 , C->1
[9] + [9] , A=[3,4] , C=1 , 9+9+1=19 , A->9 , C->1
[] + [] , A=[9,3,4] C=1 , END
</scratch>
1934
| 1934 |
Input:
207+35
Target:
| Input:
207+35
Target:
<scratch>
[2,0,7] has 3 digits.
[3,5] has 2 digits.
[2,0,7] + [3,5] , A=[] , C=0 , 7+5+0=12 , A->2 , C->1
[2,0] + [3] , A=[2] , C=1 , 0+3+1=4 , A->4 , C->0
[2] + [] , A=[4,2] , C=0 , 2+0+0=2 , A->2 , C->0
[] + [] , A=[2,4,2] C=0 , END
</scratch>
242
| 242 |
Input:
800+881
Target:
| Input:
800+881
Target:
<scratch>
[8,0,0] has 3 digits.
[8,8,1] has 3 digits.
[8,0,0] + [8,8,1] , A=[] , C=0 , 0+1+0=1 , A->1 , C->0
[8,0] + [8,8] , A=[1] , C=0 , 0+8+0=8 , A->8 , C->0
[8] + [8] , A=[8,1] , C=0 , 8+8+0=16 , A->6 , C->1
[] + [] , A=[6,8,1] C=1 , END
</scratch>
1681
| 1681 |
Input:
584+693
Target:
| Input:
584+693
Target:
<scratch>
[5,8,4] has 3 digits.
[6,9,3] has 3 digits.
[5,8,4] + [6,9,3] , A=[] , C=0 , 4+3+0=7 , A->7 , C->0
[5,8] + [6,9] , A=[7] , C=0 , 8+9+0=17 , A->7 , C->1
[5] + [6] , A=[7,7] , C=1 , 5+6+1=12 , A->2 , C->1
[] + [] , A=[2,7,7] C=1 , END
</scratch>
1277
| 1277 |
Input:
67+695
Target:
| Input:
67+695
Target:
<scratch>
[6,7] has 2 digits.
[6,9,5] has 3 digits.
[6,7] + [6,9,5] , A=[] , C=0 , 7+5+0=12 , A->2 , C->1
[6] + [6,9] , A=[2] , C=1 , 6+9+1=16 , A->6 , C->1
[] + [6] , A=[6,2] , C=1 , 0+6+1=7 , A->7 , C->0
[] + [] , A=[7,6,2] C=0 , END
</scratch>
762
| 762 |
Input:
558+552
Target:
| Input:
558+552
Target:
<scratch>
[5,5,8] has 3 digits.
[5,5,2] has 3 digits.
[5,5,8] + [5,5,2] , A=[] , C=0 , 8+2+0=10 , A->0 , C->1
[5,5] + [5,5] , A=[0] , C=1 , 5+5+1=11 , A->1 , C->1
[5] + [5] , A=[1,0] , C=1 , 5+5+1=11 , A->1 , C->1
[] + [] , A=[1,1,0] C=1 , END
</scratch>
1110
| 1110 |
Input:
211+962
Target:
| Input:
211+962
Target:
<scratch>
[2,1,1] has 3 digits.
[9,6,2] has 3 digits.
[2,1,1] + [9,6,2] , A=[] , C=0 , 1+2+0=3 , A->3 , C->0
[2,1] + [9,6] , A=[3] , C=0 , 1+6+0=7 , A->7 , C->0
[2] + [9] , A=[7,3] , C=0 , 2+9+0=11 , A->1 , C->1
[] + [] , A=[1,7,3] C=1 , END
</scratch>
1173
| 1173 |
Input:
879+42
Target:
| Input:
879+42
Target:
<scratch>
[8,7,9] has 3 digits.
[4,2] has 2 digits.
[8,7,9] + [4,2] , A=[] , C=0 , 9+2+0=11 , A->1 , C->1
[8,7] + [4] , A=[1] , C=1 , 7+4+1=12 , A->2 , C->1
[8] + [] , A=[2,1] , C=1 , 8+0+1=9 , A->9 , C->0
[] + [] , A=[9,2,1] C=0 , END
</scratch>
921
| 921 |
Input:
161+357
Target:
| Input:
161+357
Target:
<scratch>
[1,6,1] has 3 digits.
[3,5,7] has 3 digits.
[1,6,1] + [3,5,7] , A=[] , C=0 , 1+7+0=8 , A->8 , C->0
[1,6] + [3,5] , A=[8] , C=0 , 6+5+0=11 , A->1 , C->1
[1] + [3] , A=[1,8] , C=1 , 1+3+1=5 , A->5 , C->0
[] + [] , A=[5,1,8] C=0 , END
</scratch>
518
| 518 |
Input:
512+521
Target:
| Input:
512+521
Target:
<scratch>
[5,1,2] has 3 digits.
[5,2,1] has 3 digits.
[5,1,2] + [5,2,1] , A=[] , C=0 , 2+1+0=3 , A->3 , C->0
[5,1] + [5,2] , A=[3] , C=0 , 1+2+0=3 , A->3 , C->0
[5] + [5] , A=[3,3] , C=0 , 5+5+0=10 , A->0 , C->1
[] + [] , A=[0,3,3] C=1 , END
</scratch>
1033
| 1033 |
Input:
987+766
Target:
| Input:
987+766
Target:
<scratch>
[9,8,7] has 3 digits.
[7,6,6] has 3 digits.
[9,8,7] + [7,6,6] , A=[] , C=0 , 7+6+0=13 , A->3 , C->1
[9,8] + [7,6] , A=[3] , C=1 , 8+6+1=15 , A->5 , C->1
[9] + [7] , A=[5,3] , C=1 , 9+7+1=17 , A->7 , C->1
[] + [] , A=[7,5,3] C=1 , END
</scratch>
1753
| 1753 |
Input:
409+431
Target:
| Input:
409+431
Target:
<scratch>
[4,0,9] has 3 digits.
[4,3,1] has 3 digits.
[4,0,9] + [4,3,1] , A=[] , C=0 , 9+1+0=10 , A->0 , C->1
[4,0] + [4,3] , A=[0] , C=1 , 0+3+1=4 , A->4 , C->0
[4] + [4] , A=[4,0] , C=0 , 4+4+0=8 , A->8 , C->0
[] + [] , A=[8,4,0] C=0 , END
</scratch>
840
| 840 |
Input:
966+322
Target:
| Input:
966+322
Target:
<scratch>
[9,6,6] has 3 digits.
[3,2,2] has 3 digits.
[9,6,6] + [3,2,2] , A=[] , C=0 , 6+2+0=8 , A->8 , C->0
[9,6] + [3,2] , A=[8] , C=0 , 6+2+0=8 , A->8 , C->0
[9] + [3] , A=[8,8] , C=0 , 9+3+0=12 , A->2 , C->1
[] + [] , A=[2,8,8] C=1 , END
</scratch>
1288
| 1288 |
Input:
967+962
Target:
| Input:
967+962
Target:
<scratch>
[9,6,7] has 3 digits.
[9,6,2] has 3 digits.
[9,6,7] + [9,6,2] , A=[] , C=0 , 7+2+0=9 , A->9 , C->0
[9,6] + [9,6] , A=[9] , C=0 , 6+6+0=12 , A->2 , C->1
[9] + [9] , A=[2,9] , C=1 , 9+9+1=19 , A->9 , C->1
[] + [] , A=[9,2,9] C=1 , END
</scratch>
1929
| 1929 |
Input:
216+393
Target:
| Input:
216+393
Target:
<scratch>
[2,1,6] has 3 digits.
[3,9,3] has 3 digits.
[2,1,6] + [3,9,3] , A=[] , C=0 , 6+3+0=9 , A->9 , C->0
[2,1] + [3,9] , A=[9] , C=0 , 1+9+0=10 , A->0 , C->1
[2] + [3] , A=[0,9] , C=1 , 2+3+1=6 , A->6 , C->0
[] + [] , A=[6,0,9] C=0 , END
</scratch>
609
| 609 |
Input:
427+352
Target:
| Input:
427+352
Target:
<scratch>
[4,2,7] has 3 digits.
[3,5,2] has 3 digits.
[4,2,7] + [3,5,2] , A=[] , C=0 , 7+2+0=9 , A->9 , C->0
[4,2] + [3,5] , A=[9] , C=0 , 2+5+0=7 , A->7 , C->0
[4] + [3] , A=[7,9] , C=0 , 4+3+0=7 , A->7 , C->0
[] + [] , A=[7,7,9] C=0 , END
</scratch>
779
| 779 |
Input:
160+221
Target:
| Input:
160+221
Target:
<scratch>
[1,6,0] has 3 digits.
[2,2,1] has 3 digits.
[1,6,0] + [2,2,1] , A=[] , C=0 , 0+1+0=1 , A->1 , C->0
[1,6] + [2,2] , A=[1] , C=0 , 6+2+0=8 , A->8 , C->0
[1] + [2] , A=[8,1] , C=0 , 1+2+0=3 , A->3 , C->0
[] + [] , A=[3,8,1] C=0 , END
</scratch>
381
| 381 |
Input:
567+524
Target:
| Input:
567+524
Target:
<scratch>
[5,6,7] has 3 digits.
[5,2,4] has 3 digits.
[5,6,7] + [5,2,4] , A=[] , C=0 , 7+4+0=11 , A->1 , C->1
[5,6] + [5,2] , A=[1] , C=1 , 6+2+1=9 , A->9 , C->0
[5] + [5] , A=[9,1] , C=0 , 5+5+0=10 , A->0 , C->1
[] + [] , A=[0,9,1] C=1 , END
</scratch>
1091
| 1091 |
Input:
542+658
Target:
| Input:
542+658
Target:
<scratch>
[5,4,2] has 3 digits.
[6,5,8] has 3 digits.
[5,4,2] + [6,5,8] , A=[] , C=0 , 2+8+0=10 , A->0 , C->1
[5,4] + [6,5] , A=[0] , C=1 , 4+5+1=10 , A->0 , C->1
[5] + [6] , A=[0,0] , C=1 , 5+6+1=12 , A->2 , C->1
[] + [] , A=[2,0,0] C=1 , END
</scratch>
1200
| 1200 |
Input:
701+205
Target:
| Input:
701+205
Target:
<scratch>
[7,0,1] has 3 digits.
[2,0,5] has 3 digits.
[7,0,1] + [2,0,5] , A=[] , C=0 , 1+5+0=6 , A->6 , C->0
[7,0] + [2,0] , A=[6] , C=0 , 0+0+0=0 , A->0 , C->0
[7] + [2] , A=[0,6] , C=0 , 7+2+0=9 , A->9 , C->0
[] + [] , A=[9,0,6] C=0 , END
</scratch>
906
| 906 |
Input:
904+832
Target:
| Input:
904+832
Target:
<scratch>
[9,0,4] has 3 digits.
[8,3,2] has 3 digits.
[9,0,4] + [8,3,2] , A=[] , C=0 , 4+2+0=6 , A->6 , C->0
[9,0] + [8,3] , A=[6] , C=0 , 0+3+0=3 , A->3 , C->0
[9] + [8] , A=[3,6] , C=0 , 9+8+0=17 , A->7 , C->1
[] + [] , A=[7,3,6] C=1 , END
</scratch>
1736
| 1736 |
Input:
618+333
Target:
| Input:
618+333
Target:
<scratch>
[6,1,8] has 3 digits.
[3,3,3] has 3 digits.
[6,1,8] + [3,3,3] , A=[] , C=0 , 8+3+0=11 , A->1 , C->1
[6,1] + [3,3] , A=[1] , C=1 , 1+3+1=5 , A->5 , C->0
[6] + [3] , A=[5,1] , C=0 , 6+3+0=9 , A->9 , C->0
[] + [] , A=[9,5,1] C=0 , END
</scratch>
951
| 951 |
Input:
809+704
Target:
| Input:
809+704
Target:
<scratch>
[8,0,9] has 3 digits.
[7,0,4] has 3 digits.
[8,0,9] + [7,0,4] , A=[] , C=0 , 9+4+0=13 , A->3 , C->1
[8,0] + [7,0] , A=[3] , C=1 , 0+0+1=1 , A->1 , C->0
[8] + [7] , A=[1,3] , C=0 , 8+7+0=15 , A->5 , C->1
[] + [] , A=[5,1,3] C=1 , END
</scratch>
1513
| 1513 |
Input:
504+455
Target:
| Input:
504+455
Target:
<scratch>
[5,0,4] has 3 digits.
[4,5,5] has 3 digits.
[5,0,4] + [4,5,5] , A=[] , C=0 , 4+5+0=9 , A->9 , C->0
[5,0] + [4,5] , A=[9] , C=0 , 0+5+0=5 , A->5 , C->0
[5] + [4] , A=[5,9] , C=0 , 5+4+0=9 , A->9 , C->0
[] + [] , A=[9,5,9] C=0 , END
</scratch>
959
| 959 |
Input:
187+167
Target:
| Input:
187+167
Target:
<scratch>
[1,8,7] has 3 digits.
[1,6,7] has 3 digits.
[1,8,7] + [1,6,7] , A=[] , C=0 , 7+7+0=14 , A->4 , C->1
[1,8] + [1,6] , A=[4] , C=1 , 8+6+1=15 , A->5 , C->1
[1] + [1] , A=[5,4] , C=1 , 1+1+1=3 , A->3 , C->0
[] + [] , A=[3,5,4] C=0 , END
</scratch>
354
| 354 |
Input:
827+667
Target:
| Input:
827+667
Target:
<scratch>
[8,2,7] has 3 digits.
[6,6,7] has 3 digits.
[8,2,7] + [6,6,7] , A=[] , C=0 , 7+7+0=14 , A->4 , C->1
[8,2] + [6,6] , A=[4] , C=1 , 2+6+1=9 , A->9 , C->0
[8] + [6] , A=[9,4] , C=0 , 8+6+0=14 , A->4 , C->1
[] + [] , A=[4,9,4] C=1 , END
</scratch>
1494
| 1494 |
Input:
233+156
Target:
| Input:
233+156
Target:
<scratch>
[2,3,3] has 3 digits.
[1,5,6] has 3 digits.
[2,3,3] + [1,5,6] , A=[] , C=0 , 3+6+0=9 , A->9 , C->0
[2,3] + [1,5] , A=[9] , C=0 , 3+5+0=8 , A->8 , C->0
[2] + [1] , A=[8,9] , C=0 , 2+1+0=3 , A->3 , C->0
[] + [] , A=[3,8,9] C=0 , END
</scratch>
389
| 389 |
Input:
796+459
Target:
| Input:
796+459
Target:
<scratch>
[7,9,6] has 3 digits.
[4,5,9] has 3 digits.
[7,9,6] + [4,5,9] , A=[] , C=0 , 6+9+0=15 , A->5 , C->1
[7,9] + [4,5] , A=[5] , C=1 , 9+5+1=15 , A->5 , C->1
[7] + [4] , A=[5,5] , C=1 , 7+4+1=12 , A->2 , C->1
[] + [] , A=[2,5,5] C=1 , END
</scratch>
1255
| 1255 |
Input:
317+279
Target:
| Input:
317+279
Target:
<scratch>
[3,1,7] has 3 digits.
[2,7,9] has 3 digits.
[3,1,7] + [2,7,9] , A=[] , C=0 , 7+9+0=16 , A->6 , C->1
[3,1] + [2,7] , A=[6] , C=1 , 1+7+1=9 , A->9 , C->0
[3] + [2] , A=[9,6] , C=0 , 3+2+0=5 , A->5 , C->0
[] + [] , A=[5,9,6] C=0 , END
</scratch>
596
| 596 |
Input:
502+955
Target:
| Input:
502+955
Target:
<scratch>
[5,0,2] has 3 digits.
[9,5,5] has 3 digits.
[5,0,2] + [9,5,5] , A=[] , C=0 , 2+5+0=7 , A->7 , C->0
[5,0] + [9,5] , A=[7] , C=0 , 0+5+0=5 , A->5 , C->0
[5] + [9] , A=[5,7] , C=0 , 5+9+0=14 , A->4 , C->1
[] + [] , A=[4,5,7] C=1 , END
</scratch>
1457
| 1457 |
Input:
110+490
Target:
| Input:
110+490
Target:
<scratch>
[1,1,0] has 3 digits.
[4,9,0] has 3 digits.
[1,1,0] + [4,9,0] , A=[] , C=0 , 0+0+0=0 , A->0 , C->0
[1,1] + [4,9] , A=[0] , C=0 , 1+9+0=10 , A->0 , C->1
[1] + [4] , A=[0,0] , C=1 , 1+4+1=6 , A->6 , C->0
[] + [] , A=[6,0,0] C=0 , END
</scratch>
600
| 600 |
Input:
344+231
Target:
| Input:
344+231
Target:
<scratch>
[3,4,4] has 3 digits.
[2,3,1] has 3 digits.
[3,4,4] + [2,3,1] , A=[] , C=0 , 4+1+0=5 , A->5 , C->0
[3,4] + [2,3] , A=[5] , C=0 , 4+3+0=7 , A->7 , C->0
[3] + [2] , A=[7,5] , C=0 , 3+2+0=5 , A->5 , C->0
[] + [] , A=[5,7,5] C=0 , END
</scratch>
575
| 575 |
Input:
212+380
Target:
| Input:
212+380
Target:
<scratch>
[2,1,2] has 3 digits.
[3,8,0] has 3 digits.
[2,1,2] + [3,8,0] , A=[] , C=0 , 2+0+0=2 , A->2 , C->0
[2,1] + [3,8] , A=[2] , C=0 , 1+8+0=9 , A->9 , C->0
[2] + [3] , A=[9,2] , C=0 , 2+3+0=5 , A->5 , C->0
[] + [] , A=[5,9,2] C=0 , END
</scratch>
592
| 592 |
Input:
350+966
Target:
| Input:
350+966
Target:
<scratch>
[3,5,0] has 3 digits.
[9,6,6] has 3 digits.
[3,5,0] + [9,6,6] , A=[] , C=0 , 0+6+0=6 , A->6 , C->0
[3,5] + [9,6] , A=[6] , C=0 , 5+6+0=11 , A->1 , C->1
[3] + [9] , A=[1,6] , C=1 , 3+9+1=13 , A->3 , C->1
[] + [] , A=[3,1,6] C=1 , END
</scratch>
1316
| 1316 |
Input:
390+452
Target:
| Input:
390+452
Target:
<scratch>
[3,9,0] has 3 digits.
[4,5,2] has 3 digits.
[3,9,0] + [4,5,2] , A=[] , C=0 , 0+2+0=2 , A->2 , C->0
[3,9] + [4,5] , A=[2] , C=0 , 9+5+0=14 , A->4 , C->1
[3] + [4] , A=[4,2] , C=1 , 3+4+1=8 , A->8 , C->0
[] + [] , A=[8,4,2] C=0 , END
</scratch>
842
| 842 |
Input:
538+8
Target:
| Input:
538+8
Target:
<scratch>
[5,3,8] has 3 digits.
[8] has 1 digits.
[5,3,8] + [8] , A=[] , C=0 , 8+8+0=16 , A->6 , C->1
[5,3] + [] , A=[6] , C=1 , 3+0+1=4 , A->4 , C->0
[5] + [] , A=[4,6] , C=0 , 5+0+0=5 , A->5 , C->0
[] + [] , A=[5,4,6] C=0 , END
</scratch>
546
| 546 |
Input:
741+163
Target:
| Input:
741+163
Target:
<scratch>
[7,4,1] has 3 digits.
[1,6,3] has 3 digits.
[7,4,1] + [1,6,3] , A=[] , C=0 , 1+3+0=4 , A->4 , C->0
[7,4] + [1,6] , A=[4] , C=0 , 4+6+0=10 , A->0 , C->1
[7] + [1] , A=[0,4] , C=1 , 7+1+1=9 , A->9 , C->0
[] + [] , A=[9,0,4] C=0 , END
</scratch>
904
| 904 |
Input:
60+767
Target:
| Input:
60+767
Target:
<scratch>
[6,0] has 2 digits.
[7,6,7] has 3 digits.
[6,0] + [7,6,7] , A=[] , C=0 , 0+7+0=7 , A->7 , C->0
[6] + [7,6] , A=[7] , C=0 , 6+6+0=12 , A->2 , C->1
[] + [7] , A=[2,7] , C=1 , 0+7+1=8 , A->8 , C->0
[] + [] , A=[8,2,7] C=0 , END
</scratch>
827
| 827 |
Input:
237+192
Target:
| Input:
237+192
Target:
<scratch>
[2,3,7] has 3 digits.
[1,9,2] has 3 digits.
[2,3,7] + [1,9,2] , A=[] , C=0 , 7+2+0=9 , A->9 , C->0
[2,3] + [1,9] , A=[9] , C=0 , 3+9+0=12 , A->2 , C->1
[2] + [1] , A=[2,9] , C=1 , 2+1+1=4 , A->4 , C->0
[] + [] , A=[4,2,9] C=0 , END
</scratch>
429
| 429 |
Input:
877+482
Target:
| Input:
877+482
Target:
<scratch>
[8,7,7] has 3 digits.
[4,8,2] has 3 digits.
[8,7,7] + [4,8,2] , A=[] , C=0 , 7+2+0=9 , A->9 , C->0
[8,7] + [4,8] , A=[9] , C=0 , 7+8+0=15 , A->5 , C->1
[8] + [4] , A=[5,9] , C=1 , 8+4+1=13 , A->3 , C->1
[] + [] , A=[3,5,9] C=1 , END
</scratch>
1359
| 1359 |
Input:
590+38
Target:
| Input:
590+38
Target:
<scratch>
[5,9,0] has 3 digits.
[3,8] has 2 digits.
[5,9,0] + [3,8] , A=[] , C=0 , 0+8+0=8 , A->8 , C->0
[5,9] + [3] , A=[8] , C=0 , 9+3+0=12 , A->2 , C->1
[5] + [] , A=[2,8] , C=1 , 5+0+1=6 , A->6 , C->0
[] + [] , A=[6,2,8] C=0 , END
</scratch>
628
| 628 |
Input:
829+992
Target:
| Input:
829+992
Target:
<scratch>
[8,2,9] has 3 digits.
[9,9,2] has 3 digits.
[8,2,9] + [9,9,2] , A=[] , C=0 , 9+2+0=11 , A->1 , C->1
[8,2] + [9,9] , A=[1] , C=1 , 2+9+1=12 , A->2 , C->1
[8] + [9] , A=[2,1] , C=1 , 8+9+1=18 , A->8 , C->1
[] + [] , A=[8,2,1] C=1 , END
</scratch>
1821
| 1821 |
Input:
923+959
Target:
| Input:
923+959
Target:
<scratch>
[9,2,3] has 3 digits.
[9,5,9] has 3 digits.
[9,2,3] + [9,5,9] , A=[] , C=0 , 3+9+0=12 , A->2 , C->1
[9,2] + [9,5] , A=[2] , C=1 , 2+5+1=8 , A->8 , C->0
[9] + [9] , A=[8,2] , C=0 , 9+9+0=18 , A->8 , C->1
[] + [] , A=[8,8,2] C=1 , END
</scratch>
1882
| 1882 |
Input:
471+941
Target:
| Input:
471+941
Target:
<scratch>
[4,7,1] has 3 digits.
[9,4,1] has 3 digits.
[4,7,1] + [9,4,1] , A=[] , C=0 , 1+1+0=2 , A->2 , C->0
[4,7] + [9,4] , A=[2] , C=0 , 7+4+0=11 , A->1 , C->1
[4] + [9] , A=[1,2] , C=1 , 4+9+1=14 , A->4 , C->1
[] + [] , A=[4,1,2] C=1 , END
</scratch>
1412
| 1412 |
Input:
825+408
Target:
| Input:
825+408
Target:
<scratch>
[8,2,5] has 3 digits.
[4,0,8] has 3 digits.
[8,2,5] + [4,0,8] , A=[] , C=0 , 5+8+0=13 , A->3 , C->1
[8,2] + [4,0] , A=[3] , C=1 , 2+0+1=3 , A->3 , C->0
[8] + [4] , A=[3,3] , C=0 , 8+4+0=12 , A->2 , C->1
[] + [] , A=[2,3,3] C=1 , END
</scratch>
1233
| 1233 |
Input:
514+812
Target:
| Input:
514+812
Target:
<scratch>
[5,1,4] has 3 digits.
[8,1,2] has 3 digits.
[5,1,4] + [8,1,2] , A=[] , C=0 , 4+2+0=6 , A->6 , C->0
[5,1] + [8,1] , A=[6] , C=0 , 1+1+0=2 , A->2 , C->0
[5] + [8] , A=[2,6] , C=0 , 5+8+0=13 , A->3 , C->1
[] + [] , A=[3,2,6] C=1 , END
</scratch>
1326
| 1326 |
Input:
573+199
Target:
| Input:
573+199
Target:
<scratch>
[5,7,3] has 3 digits.
[1,9,9] has 3 digits.
[5,7,3] + [1,9,9] , A=[] , C=0 , 3+9+0=12 , A->2 , C->1
[5,7] + [1,9] , A=[2] , C=1 , 7+9+1=17 , A->7 , C->1
[5] + [1] , A=[7,2] , C=1 , 5+1+1=7 , A->7 , C->0
[] + [] , A=[7,7,2] C=0 , END
</scratch>
772
| 772 |
Input:
452+168
Target:
| Input:
452+168
Target:
<scratch>
[4,5,2] has 3 digits.
[1,6,8] has 3 digits.
[4,5,2] + [1,6,8] , A=[] , C=0 , 2+8+0=10 , A->0 , C->1
[4,5] + [1,6] , A=[0] , C=1 , 5+6+1=12 , A->2 , C->1
[4] + [1] , A=[2,0] , C=1 , 4+1+1=6 , A->6 , C->0
[] + [] , A=[6,2,0] C=0 , END
</scratch>
620
| 620 |
Input:
503+494
Target:
| Input:
503+494
Target:
<scratch>
[5,0,3] has 3 digits.
[4,9,4] has 3 digits.
[5,0,3] + [4,9,4] , A=[] , C=0 , 3+4+0=7 , A->7 , C->0
[5,0] + [4,9] , A=[7] , C=0 , 0+9+0=9 , A->9 , C->0
[5] + [4] , A=[9,7] , C=0 , 5+4+0=9 , A->9 , C->0
[] + [] , A=[9,9,7] C=0 , END
</scratch>
997
| 997 |
Input:
612+884
Target:
| Input:
612+884
Target:
<scratch>
[6,1,2] has 3 digits.
[8,8,4] has 3 digits.
[6,1,2] + [8,8,4] , A=[] , C=0 , 2+4+0=6 , A->6 , C->0
[6,1] + [8,8] , A=[6] , C=0 , 1+8+0=9 , A->9 , C->0
[6] + [8] , A=[9,6] , C=0 , 6+8+0=14 , A->4 , C->1
[] + [] , A=[4,9,6] C=1 , END
</scratch>
1496
| 1496 |
Input:
237+191
Target:
| Input:
237+191
Target:
<scratch>
[2,3,7] has 3 digits.
[1,9,1] has 3 digits.
[2,3,7] + [1,9,1] , A=[] , C=0 , 7+1+0=8 , A->8 , C->0
[2,3] + [1,9] , A=[8] , C=0 , 3+9+0=12 , A->2 , C->1
[2] + [1] , A=[2,8] , C=1 , 2+1+1=4 , A->4 , C->0
[] + [] , A=[4,2,8] C=0 , END
</scratch>
428
| 428 |
Input:
954+133
Target:
| Input:
954+133
Target:
<scratch>
[9,5,4] has 3 digits.
[1,3,3] has 3 digits.
[9,5,4] + [1,3,3] , A=[] , C=0 , 4+3+0=7 , A->7 , C->0
[9,5] + [1,3] , A=[7] , C=0 , 5+3+0=8 , A->8 , C->0
[9] + [1] , A=[8,7] , C=0 , 9+1+0=10 , A->0 , C->1
[] + [] , A=[0,8,7] C=1 , END
</scratch>
1087
| 1087 |
Input:
264+559
Target:
| Input:
264+559
Target:
<scratch>
[2,6,4] has 3 digits.
[5,5,9] has 3 digits.
[2,6,4] + [5,5,9] , A=[] , C=0 , 4+9+0=13 , A->3 , C->1
[2,6] + [5,5] , A=[3] , C=1 , 6+5+1=12 , A->2 , C->1
[2] + [5] , A=[2,3] , C=1 , 2+5+1=8 , A->8 , C->0
[] + [] , A=[8,2,3] C=0 , END
</scratch>
823
| 823 |
Input:
329+994
Target:
| Input:
329+994
Target:
<scratch>
[3,2,9] has 3 digits.
[9,9,4] has 3 digits.
[3,2,9] + [9,9,4] , A=[] , C=0 , 9+4+0=13 , A->3 , C->1
[3,2] + [9,9] , A=[3] , C=1 , 2+9+1=12 , A->2 , C->1
[3] + [9] , A=[2,3] , C=1 , 3+9+1=13 , A->3 , C->1
[] + [] , A=[3,2,3] C=1 , END
</scratch>
1323
| 1323 |
Input:
615+616
Target:
| Input:
615+616
Target:
<scratch>
[6,1,5] has 3 digits.
[6,1,6] has 3 digits.
[6,1,5] + [6,1,6] , A=[] , C=0 , 5+6+0=11 , A->1 , C->1
[6,1] + [6,1] , A=[1] , C=1 , 1+1+1=3 , A->3 , C->0
[6] + [6] , A=[3,1] , C=0 , 6+6+0=12 , A->2 , C->1
[] + [] , A=[2,3,1] C=1 , END
</scratch>
1231
| 1231 |
Input:
412+466
Target:
| Input:
412+466
Target:
<scratch>
[4,1,2] has 3 digits.
[4,6,6] has 3 digits.
[4,1,2] + [4,6,6] , A=[] , C=0 , 2+6+0=8 , A->8 , C->0
[4,1] + [4,6] , A=[8] , C=0 , 1+6+0=7 , A->7 , C->0
[4] + [4] , A=[7,8] , C=0 , 4+4+0=8 , A->8 , C->0
[] + [] , A=[8,7,8] C=0 , END
</scratch>
878
| 878 |
Input:
815+133
Target:
| Input:
815+133
Target:
<scratch>
[8,1,5] has 3 digits.
[1,3,3] has 3 digits.
[8,1,5] + [1,3,3] , A=[] , C=0 , 5+3+0=8 , A->8 , C->0
[8,1] + [1,3] , A=[8] , C=0 , 1+3+0=4 , A->4 , C->0
[8] + [1] , A=[4,8] , C=0 , 8+1+0=9 , A->9 , C->0
[] + [] , A=[9,4,8] C=0 , END
</scratch>
948
| 948 |
Input:
37+882
Target:
| Input:
37+882
Target:
<scratch>
[3,7] has 2 digits.
[8,8,2] has 3 digits.
[3,7] + [8,8,2] , A=[] , C=0 , 7+2+0=9 , A->9 , C->0
[3] + [8,8] , A=[9] , C=0 , 3+8+0=11 , A->1 , C->1
[] + [8] , A=[1,9] , C=1 , 0+8+1=9 , A->9 , C->0
[] + [] , A=[9,1,9] C=0 , END
</scratch>
919
| 919 |
Input:
506+930
Target:
| Input:
506+930
Target:
<scratch>
[5,0,6] has 3 digits.
[9,3,0] has 3 digits.
[5,0,6] + [9,3,0] , A=[] , C=0 , 6+0+0=6 , A->6 , C->0
[5,0] + [9,3] , A=[6] , C=0 , 0+3+0=3 , A->3 , C->0
[5] + [9] , A=[3,6] , C=0 , 5+9+0=14 , A->4 , C->1
[] + [] , A=[4,3,6] C=1 , END
</scratch>
1436
| 1436 |
Input:
800+74
Target:
| Input:
800+74
Target:
<scratch>
[8,0,0] has 3 digits.
[7,4] has 2 digits.
[8,0,0] + [7,4] , A=[] , C=0 , 0+4+0=4 , A->4 , C->0
[8,0] + [7] , A=[4] , C=0 , 0+7+0=7 , A->7 , C->0
[8] + [] , A=[7,4] , C=0 , 8+0+0=8 , A->8 , C->0
[] + [] , A=[8,7,4] C=0 , END
</scratch>
874
| 874 |
Input:
516+508
Target:
| Input:
516+508
Target:
<scratch>
[5,1,6] has 3 digits.
[5,0,8] has 3 digits.
[5,1,6] + [5,0,8] , A=[] , C=0 , 6+8+0=14 , A->4 , C->1
[5,1] + [5,0] , A=[4] , C=1 , 1+0+1=2 , A->2 , C->0
[5] + [5] , A=[2,4] , C=0 , 5+5+0=10 , A->0 , C->1
[] + [] , A=[0,2,4] C=1 , END
</scratch>
1024
| 1024 |
Input:
446+269
Target:
| Input:
446+269
Target:
<scratch>
[4,4,6] has 3 digits.
[2,6,9] has 3 digits.
[4,4,6] + [2,6,9] , A=[] , C=0 , 6+9+0=15 , A->5 , C->1
[4,4] + [2,6] , A=[5] , C=1 , 4+6+1=11 , A->1 , C->1
[4] + [2] , A=[1,5] , C=1 , 4+2+1=7 , A->7 , C->0
[] + [] , A=[7,1,5] C=0 , END
</scratch>
715
| 715 |
Input:
452+897
Target:
| Input:
452+897
Target:
<scratch>
[4,5,2] has 3 digits.
[8,9,7] has 3 digits.
[4,5,2] + [8,9,7] , A=[] , C=0 , 2+7+0=9 , A->9 , C->0
[4,5] + [8,9] , A=[9] , C=0 , 5+9+0=14 , A->4 , C->1
[4] + [8] , A=[4,9] , C=1 , 4+8+1=13 , A->3 , C->1
[] + [] , A=[3,4,9] C=1 , END
</scratch>
1349
| 1349 |
Input:
449+429
Target:
| Input:
449+429
Target:
<scratch>
[4,4,9] has 3 digits.
[4,2,9] has 3 digits.
[4,4,9] + [4,2,9] , A=[] , C=0 , 9+9+0=18 , A->8 , C->1
[4,4] + [4,2] , A=[8] , C=1 , 4+2+1=7 , A->7 , C->0
[4] + [4] , A=[7,8] , C=0 , 4+4+0=8 , A->8 , C->0
[] + [] , A=[8,7,8] C=0 , END
</scratch>
878
| 878 |
Input:
144+397
Target:
| Input:
144+397
Target:
<scratch>
[1,4,4] has 3 digits.
[3,9,7] has 3 digits.
[1,4,4] + [3,9,7] , A=[] , C=0 , 4+7+0=11 , A->1 , C->1
[1,4] + [3,9] , A=[1] , C=1 , 4+9+1=14 , A->4 , C->1
[1] + [3] , A=[4,1] , C=1 , 1+3+1=5 , A->5 , C->0
[] + [] , A=[5,4,1] C=0 , END
</scratch>
541
| 541 |
Input:
51+393
Target:
| Input:
51+393
Target:
<scratch>
[5,1] has 2 digits.
[3,9,3] has 3 digits.
[5,1] + [3,9,3] , A=[] , C=0 , 1+3+0=4 , A->4 , C->0
[5] + [3,9] , A=[4] , C=0 , 5+9+0=14 , A->4 , C->1
[] + [3] , A=[4,4] , C=1 , 0+3+1=4 , A->4 , C->0
[] + [] , A=[4,4,4] C=0 , END
</scratch>
444
| 444 |
Input:
286+611
Target:
| Input:
286+611
Target:
<scratch>
[2,8,6] has 3 digits.
[6,1,1] has 3 digits.
[2,8,6] + [6,1,1] , A=[] , C=0 , 6+1+0=7 , A->7 , C->0
[2,8] + [6,1] , A=[7] , C=0 , 8+1+0=9 , A->9 , C->0
[2] + [6] , A=[9,7] , C=0 , 2+6+0=8 , A->8 , C->0
[] + [] , A=[8,9,7] C=0 , END
</scratch>
897
| 897 |
Input:
803+281
Target:
| Input:
803+281
Target:
<scratch>
[8,0,3] has 3 digits.
[2,8,1] has 3 digits.
[8,0,3] + [2,8,1] , A=[] , C=0 , 3+1+0=4 , A->4 , C->0
[8,0] + [2,8] , A=[4] , C=0 , 0+8+0=8 , A->8 , C->0
[8] + [2] , A=[8,4] , C=0 , 8+2+0=10 , A->0 , C->1
[] + [] , A=[0,8,4] C=1 , END
</scratch>
1084
| 1084 |
Input:
93+297
Target:
| Input:
93+297
Target:
<scratch>
[9,3] has 2 digits.
[2,9,7] has 3 digits.
[9,3] + [2,9,7] , A=[] , C=0 , 3+7+0=10 , A->0 , C->1
[9] + [2,9] , A=[0] , C=1 , 9+9+1=19 , A->9 , C->1
[] + [2] , A=[9,0] , C=1 , 0+2+1=3 , A->3 , C->0
[] + [] , A=[3,9,0] C=0 , END
</scratch>
390
| 390 |
Input:
666+474
Target:
| Input:
666+474
Target:
<scratch>
[6,6,6] has 3 digits.
[4,7,4] has 3 digits.
[6,6,6] + [4,7,4] , A=[] , C=0 , 6+4+0=10 , A->0 , C->1
[6,6] + [4,7] , A=[0] , C=1 , 6+7+1=14 , A->4 , C->1
[6] + [4] , A=[4,0] , C=1 , 6+4+1=11 , A->1 , C->1
[] + [] , A=[1,4,0] C=1 , END
</scratch>
1140
| 1140 |
Input:
507+124
Target:
| Input:
507+124
Target:
<scratch>
[5,0,7] has 3 digits.
[1,2,4] has 3 digits.
[5,0,7] + [1,2,4] , A=[] , C=0 , 7+4+0=11 , A->1 , C->1
[5,0] + [1,2] , A=[1] , C=1 , 0+2+1=3 , A->3 , C->0
[5] + [1] , A=[3,1] , C=0 , 5+1+0=6 , A->6 , C->0
[] + [] , A=[6,3,1] C=0 , END
</scratch>
631
| 631 |
Input:
870+822
Target:
| Input:
870+822
Target:
<scratch>
[8,7,0] has 3 digits.
[8,2,2] has 3 digits.
[8,7,0] + [8,2,2] , A=[] , C=0 , 0+2+0=2 , A->2 , C->0
[8,7] + [8,2] , A=[2] , C=0 , 7+2+0=9 , A->9 , C->0
[8] + [8] , A=[9,2] , C=0 , 8+8+0=16 , A->6 , C->1
[] + [] , A=[6,9,2] C=1 , END
</scratch>
1692
| 1692 |
Input:
258+463
Target:
| Input:
258+463
Target:
<scratch>
[2,5,8] has 3 digits.
[4,6,3] has 3 digits.
[2,5,8] + [4,6,3] , A=[] , C=0 , 8+3+0=11 , A->1 , C->1
[2,5] + [4,6] , A=[1] , C=1 , 5+6+1=12 , A->2 , C->1
[2] + [4] , A=[2,1] , C=1 , 2+4+1=7 , A->7 , C->0
[] + [] , A=[7,2,1] C=0 , END
</scratch>
721
| 721 |
Input:
728+686
Target:
| Input:
728+686
Target:
<scratch>
[7,2,8] has 3 digits.
[6,8,6] has 3 digits.
[7,2,8] + [6,8,6] , A=[] , C=0 , 8+6+0=14 , A->4 , C->1
[7,2] + [6,8] , A=[4] , C=1 , 2+8+1=11 , A->1 , C->1
[7] + [6] , A=[1,4] , C=1 , 7+6+1=14 , A->4 , C->1
[] + [] , A=[4,1,4] C=1 , END
</scratch>
1414
| 1414 |
Input:
494+641
Target:
| Input:
494+641
Target:
<scratch>
[4,9,4] has 3 digits.
[6,4,1] has 3 digits.
[4,9,4] + [6,4,1] , A=[] , C=0 , 4+1+0=5 , A->5 , C->0
[4,9] + [6,4] , A=[5] , C=0 , 9+4+0=13 , A->3 , C->1
[4] + [6] , A=[3,5] , C=1 , 4+6+1=11 , A->1 , C->1
[] + [] , A=[1,3,5] C=1 , END
</scratch>
1135
| 1135 |
Input:
452+102
Target:
| Input:
452+102
Target:
<scratch>
[4,5,2] has 3 digits.
[1,0,2] has 3 digits.
[4,5,2] + [1,0,2] , A=[] , C=0 , 2+2+0=4 , A->4 , C->0
[4,5] + [1,0] , A=[4] , C=0 , 5+0+0=5 , A->5 , C->0
[4] + [1] , A=[5,4] , C=0 , 4+1+0=5 , A->5 , C->0
[] + [] , A=[5,5,4] C=0 , END
</scratch>
554
| 554 |
Input:
994+668
Target:
| Input:
994+668
Target:
<scratch>
[9,9,4] has 3 digits.
[6,6,8] has 3 digits.
[9,9,4] + [6,6,8] , A=[] , C=0 , 4+8+0=12 , A->2 , C->1
[9,9] + [6,6] , A=[2] , C=1 , 9+6+1=16 , A->6 , C->1
[9] + [6] , A=[6,2] , C=1 , 9+6+1=16 , A->6 , C->1
[] + [] , A=[6,6,2] C=1 , END
</scratch>
1662
| 1662 |
Input:
353+520
Target:
| Input:
353+520
Target:
<scratch>
[3,5,3] has 3 digits.
[5,2,0] has 3 digits.
[3,5,3] + [5,2,0] , A=[] , C=0 , 3+0+0=3 , A->3 , C->0
[3,5] + [5,2] , A=[3] , C=0 , 5+2+0=7 , A->7 , C->0
[3] + [5] , A=[7,3] , C=0 , 3+5+0=8 , A->8 , C->0
[] + [] , A=[8,7,3] C=0 , END
</scratch>
873
| 873 |
Input:
265+967
Target:
| Input:
265+967
Target:
<scratch>
[2,6,5] has 3 digits.
[9,6,7] has 3 digits.
[2,6,5] + [9,6,7] , A=[] , C=0 , 5+7+0=12 , A->2 , C->1
[2,6] + [9,6] , A=[2] , C=1 , 6+6+1=13 , A->3 , C->1
[2] + [9] , A=[3,2] , C=1 , 2+9+1=12 , A->2 , C->1
[] + [] , A=[2,3,2] C=1 , END
</scratch>
1232
| 1232 |
Input:
974+466
Target:
| Input:
974+466
Target:
<scratch>
[9,7,4] has 3 digits.
[4,6,6] has 3 digits.
[9,7,4] + [4,6,6] , A=[] , C=0 , 4+6+0=10 , A->0 , C->1
[9,7] + [4,6] , A=[0] , C=1 , 7+6+1=14 , A->4 , C->1
[9] + [4] , A=[4,0] , C=1 , 9+4+1=14 , A->4 , C->1
[] + [] , A=[4,4,0] C=1 , END
</scratch>
1440
| 1440 |
Input:
818+603
Target:
| Input:
818+603
Target:
<scratch>
[8,1,8] has 3 digits.
[6,0,3] has 3 digits.
[8,1,8] + [6,0,3] , A=[] , C=0 , 8+3+0=11 , A->1 , C->1
[8,1] + [6,0] , A=[1] , C=1 , 1+0+1=2 , A->2 , C->0
[8] + [6] , A=[2,1] , C=0 , 8+6+0=14 , A->4 , C->1
[] + [] , A=[4,2,1] C=1 , END
</scratch>
1421
| 1421 |
Input:
273+636
Target:
| Input:
273+636
Target:
<scratch>
[2,7,3] has 3 digits.
[6,3,6] has 3 digits.
[2,7,3] + [6,3,6] , A=[] , C=0 , 3+6+0=9 , A->9 , C->0
[2,7] + [6,3] , A=[9] , C=0 , 7+3+0=10 , A->0 , C->1
[2] + [6] , A=[0,9] , C=1 , 2+6+1=9 , A->9 , C->0
[] + [] , A=[9,0,9] C=0 , END
</scratch>
909
| 909 |
Input:
118+584
Target:
| Input:
118+584
Target:
<scratch>
[1,1,8] has 3 digits.
[5,8,4] has 3 digits.
[1,1,8] + [5,8,4] , A=[] , C=0 , 8+4+0=12 , A->2 , C->1
[1,1] + [5,8] , A=[2] , C=1 , 1+8+1=10 , A->0 , C->1
[1] + [5] , A=[0,2] , C=1 , 1+5+1=7 , A->7 , C->0
[] + [] , A=[7,0,2] C=0 , END
</scratch>
702
| 702 |
Input:
8+176
Target:
| Input:
8+176
Target:
<scratch>
[8] has 1 digits.
[1,7,6] has 3 digits.
[8] + [1,7,6] , A=[] , C=0 , 8+6+0=14 , A->4 , C->1
[] + [1,7] , A=[4] , C=1 , 0+7+1=8 , A->8 , C->0
[] + [1] , A=[8,4] , C=0 , 0+1+0=1 , A->1 , C->0
[] + [] , A=[1,8,4] C=0 , END
</scratch>
184
| 184 |
Input:
171+411
Target:
| Input:
171+411
Target:
<scratch>
[1,7,1] has 3 digits.
[4,1,1] has 3 digits.
[1,7,1] + [4,1,1] , A=[] , C=0 , 1+1+0=2 , A->2 , C->0
[1,7] + [4,1] , A=[2] , C=0 , 7+1+0=8 , A->8 , C->0
[1] + [4] , A=[8,2] , C=0 , 1+4+0=5 , A->5 , C->0
[] + [] , A=[5,8,2] C=0 , END
</scratch>
582
| 582 |
Input:
19+556
Target:
| Input:
19+556
Target:
<scratch>
[1,9] has 2 digits.
[5,5,6] has 3 digits.
[1,9] + [5,5,6] , A=[] , C=0 , 9+6+0=15 , A->5 , C->1
[1] + [5,5] , A=[5] , C=1 , 1+5+1=7 , A->7 , C->0
[] + [5] , A=[7,5] , C=0 , 0+5+0=5 , A->5 , C->0
[] + [] , A=[5,7,5] C=0 , END
</scratch>
575
| 575 |
Input:
780+777
Target:
| Input:
780+777
Target:
<scratch>
[7,8,0] has 3 digits.
[7,7,7] has 3 digits.
[7,8,0] + [7,7,7] , A=[] , C=0 , 0+7+0=7 , A->7 , C->0
[7,8] + [7,7] , A=[7] , C=0 , 8+7+0=15 , A->5 , C->1
[7] + [7] , A=[5,7] , C=1 , 7+7+1=15 , A->5 , C->1
[] + [] , A=[5,5,7] C=1 , END
</scratch>
1557
| 1557 |
Input:
522+903
Target:
| Input:
522+903
Target:
<scratch>
[5,2,2] has 3 digits.
[9,0,3] has 3 digits.
[5,2,2] + [9,0,3] , A=[] , C=0 , 2+3+0=5 , A->5 , C->0
[5,2] + [9,0] , A=[5] , C=0 , 2+0+0=2 , A->2 , C->0
[5] + [9] , A=[2,5] , C=0 , 5+9+0=14 , A->4 , C->1
[] + [] , A=[4,2,5] C=1 , END
</scratch>
1425
| 1425 |
Input:
986+269
Target:
| Input:
986+269
Target:
<scratch>
[9,8,6] has 3 digits.
[2,6,9] has 3 digits.
[9,8,6] + [2,6,9] , A=[] , C=0 , 6+9+0=15 , A->5 , C->1
[9,8] + [2,6] , A=[5] , C=1 , 8+6+1=15 , A->5 , C->1
[9] + [2] , A=[5,5] , C=1 , 9+2+1=12 , A->2 , C->1
[] + [] , A=[2,5,5] C=1 , END
</scratch>
1255
| 1255 |
Input:
474+476
Target:
| Input:
474+476
Target:
<scratch>
[4,7,4] has 3 digits.
[4,7,6] has 3 digits.
[4,7,4] + [4,7,6] , A=[] , C=0 , 4+6+0=10 , A->0 , C->1
[4,7] + [4,7] , A=[0] , C=1 , 7+7+1=15 , A->5 , C->1
[4] + [4] , A=[5,0] , C=1 , 4+4+1=9 , A->9 , C->0
[] + [] , A=[9,5,0] C=0 , END
</scratch>
950
| 950 |
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