input_test
stringlengths 19
23
| scratchpad
stringlengths 151
283
| result_final
stringlengths 1
4
|
|---|---|---|
Input:
877+955
Target:
| Input:
877+955
Target:
<scratch>
[8,7,7] has 3 digits.
[9,5,5] has 3 digits.
[8,7,7] + [9,5,5] , A=[] , C=0 , 7+5+0=12 , A->2 , C->1
[8,7] + [9,5] , A=[2] , C=1 , 7+5+1=13 , A->3 , C->1
[8] + [9] , A=[3,2] , C=1 , 8+9+1=18 , A->8 , C->1
[] + [] , A=[8,3,2] C=1 , END
</scratch>
1832
| 1832 |
Input:
592+579
Target:
| Input:
592+579
Target:
<scratch>
[5,9,2] has 3 digits.
[5,7,9] has 3 digits.
[5,9,2] + [5,7,9] , A=[] , C=0 , 2+9+0=11 , A->1 , C->1
[5,9] + [5,7] , A=[1] , C=1 , 9+7+1=17 , A->7 , C->1
[5] + [5] , A=[7,1] , C=1 , 5+5+1=11 , A->1 , C->1
[] + [] , A=[1,7,1] C=1 , END
</scratch>
1171
| 1171 |
Input:
812+298
Target:
| Input:
812+298
Target:
<scratch>
[8,1,2] has 3 digits.
[2,9,8] has 3 digits.
[8,1,2] + [2,9,8] , A=[] , C=0 , 2+8+0=10 , A->0 , C->1
[8,1] + [2,9] , A=[0] , C=1 , 1+9+1=11 , A->1 , C->1
[8] + [2] , A=[1,0] , C=1 , 8+2+1=11 , A->1 , C->1
[] + [] , A=[1,1,0] C=1 , END
</scratch>
1110
| 1110 |
Input:
596+869
Target:
| Input:
596+869
Target:
<scratch>
[5,9,6] has 3 digits.
[8,6,9] has 3 digits.
[5,9,6] + [8,6,9] , A=[] , C=0 , 6+9+0=15 , A->5 , C->1
[5,9] + [8,6] , A=[5] , C=1 , 9+6+1=16 , A->6 , C->1
[5] + [8] , A=[6,5] , C=1 , 5+8+1=14 , A->4 , C->1
[] + [] , A=[4,6,5] C=1 , END
</scratch>
1465
| 1465 |
Input:
356+756
Target:
| Input:
356+756
Target:
<scratch>
[3,5,6] has 3 digits.
[7,5,6] has 3 digits.
[3,5,6] + [7,5,6] , A=[] , C=0 , 6+6+0=12 , A->2 , C->1
[3,5] + [7,5] , A=[2] , C=1 , 5+5+1=11 , A->1 , C->1
[3] + [7] , A=[1,2] , C=1 , 3+7+1=11 , A->1 , C->1
[] + [] , A=[1,1,2] C=1 , END
</scratch>
1112
| 1112 |
Input:
6+998
Target:
| Input:
6+998
Target:
<scratch>
[6] has 1 digits.
[9,9,8] has 3 digits.
[6] + [9,9,8] , A=[] , C=0 , 6+8+0=14 , A->4 , C->1
[] + [9,9] , A=[4] , C=1 , 0+9+1=10 , A->0 , C->1
[] + [9] , A=[0,4] , C=1 , 0+9+1=10 , A->0 , C->1
[] + [] , A=[0,0,4] C=1 , END
</scratch>
1004
| 1004 |
Input:
698+317
Target:
| Input:
698+317
Target:
<scratch>
[6,9,8] has 3 digits.
[3,1,7] has 3 digits.
[6,9,8] + [3,1,7] , A=[] , C=0 , 8+7+0=15 , A->5 , C->1
[6,9] + [3,1] , A=[5] , C=1 , 9+1+1=11 , A->1 , C->1
[6] + [3] , A=[1,5] , C=1 , 6+3+1=10 , A->0 , C->1
[] + [] , A=[0,1,5] C=1 , END
</scratch>
1015
| 1015 |
Input:
395+725
Target:
| Input:
395+725
Target:
<scratch>
[3,9,5] has 3 digits.
[7,2,5] has 3 digits.
[3,9,5] + [7,2,5] , A=[] , C=0 , 5+5+0=10 , A->0 , C->1
[3,9] + [7,2] , A=[0] , C=1 , 9+2+1=12 , A->2 , C->1
[3] + [7] , A=[2,0] , C=1 , 3+7+1=11 , A->1 , C->1
[] + [] , A=[1,2,0] C=1 , END
</scratch>
1120
| 1120 |
Input:
914+688
Target:
| Input:
914+688
Target:
<scratch>
[9,1,4] has 3 digits.
[6,8,8] has 3 digits.
[9,1,4] + [6,8,8] , A=[] , C=0 , 4+8+0=12 , A->2 , C->1
[9,1] + [6,8] , A=[2] , C=1 , 1+8+1=10 , A->0 , C->1
[9] + [6] , A=[0,2] , C=1 , 9+6+1=16 , A->6 , C->1
[] + [] , A=[6,0,2] C=1 , END
</scratch>
1602
| 1602 |
Input:
965+857
Target:
| Input:
965+857
Target:
<scratch>
[9,6,5] has 3 digits.
[8,5,7] has 3 digits.
[9,6,5] + [8,5,7] , A=[] , C=0 , 5+7+0=12 , A->2 , C->1
[9,6] + [8,5] , A=[2] , C=1 , 6+5+1=12 , A->2 , C->1
[9] + [8] , A=[2,2] , C=1 , 9+8+1=18 , A->8 , C->1
[] + [] , A=[8,2,2] C=1 , END
</scratch>
1822
| 1822 |
Input:
778+355
Target:
| Input:
778+355
Target:
<scratch>
[7,7,8] has 3 digits.
[3,5,5] has 3 digits.
[7,7,8] + [3,5,5] , A=[] , C=0 , 8+5+0=13 , A->3 , C->1
[7,7] + [3,5] , A=[3] , C=1 , 7+5+1=13 , A->3 , C->1
[7] + [3] , A=[3,3] , C=1 , 7+3+1=11 , A->1 , C->1
[] + [] , A=[1,3,3] C=1 , END
</scratch>
1133
| 1133 |
Input:
746+288
Target:
| Input:
746+288
Target:
<scratch>
[7,4,6] has 3 digits.
[2,8,8] has 3 digits.
[7,4,6] + [2,8,8] , A=[] , C=0 , 6+8+0=14 , A->4 , C->1
[7,4] + [2,8] , A=[4] , C=1 , 4+8+1=13 , A->3 , C->1
[7] + [2] , A=[3,4] , C=1 , 7+2+1=10 , A->0 , C->1
[] + [] , A=[0,3,4] C=1 , END
</scratch>
1034
| 1034 |
Input:
868+342
Target:
| Input:
868+342
Target:
<scratch>
[8,6,8] has 3 digits.
[3,4,2] has 3 digits.
[8,6,8] + [3,4,2] , A=[] , C=0 , 8+2+0=10 , A->0 , C->1
[8,6] + [3,4] , A=[0] , C=1 , 6+4+1=11 , A->1 , C->1
[8] + [3] , A=[1,0] , C=1 , 8+3+1=12 , A->2 , C->1
[] + [] , A=[2,1,0] C=1 , END
</scratch>
1210
| 1210 |
Input:
896+708
Target:
| Input:
896+708
Target:
<scratch>
[8,9,6] has 3 digits.
[7,0,8] has 3 digits.
[8,9,6] + [7,0,8] , A=[] , C=0 , 6+8+0=14 , A->4 , C->1
[8,9] + [7,0] , A=[4] , C=1 , 9+0+1=10 , A->0 , C->1
[8] + [7] , A=[0,4] , C=1 , 8+7+1=16 , A->6 , C->1
[] + [] , A=[6,0,4] C=1 , END
</scratch>
1604
| 1604 |
Input:
596+618
Target:
| Input:
596+618
Target:
<scratch>
[5,9,6] has 3 digits.
[6,1,8] has 3 digits.
[5,9,6] + [6,1,8] , A=[] , C=0 , 6+8+0=14 , A->4 , C->1
[5,9] + [6,1] , A=[4] , C=1 , 9+1+1=11 , A->1 , C->1
[5] + [6] , A=[1,4] , C=1 , 5+6+1=12 , A->2 , C->1
[] + [] , A=[2,1,4] C=1 , END
</scratch>
1214
| 1214 |
Input:
891+429
Target:
| Input:
891+429
Target:
<scratch>
[8,9,1] has 3 digits.
[4,2,9] has 3 digits.
[8,9,1] + [4,2,9] , A=[] , C=0 , 1+9+0=10 , A->0 , C->1
[8,9] + [4,2] , A=[0] , C=1 , 9+2+1=12 , A->2 , C->1
[8] + [4] , A=[2,0] , C=1 , 8+4+1=13 , A->3 , C->1
[] + [] , A=[3,2,0] C=1 , END
</scratch>
1320
| 1320 |
Input:
337+786
Target:
| Input:
337+786
Target:
<scratch>
[3,3,7] has 3 digits.
[7,8,6] has 3 digits.
[3,3,7] + [7,8,6] , A=[] , C=0 , 7+6+0=13 , A->3 , C->1
[3,3] + [7,8] , A=[3] , C=1 , 3+8+1=12 , A->2 , C->1
[3] + [7] , A=[2,3] , C=1 , 3+7+1=11 , A->1 , C->1
[] + [] , A=[1,2,3] C=1 , END
</scratch>
1123
| 1123 |
Input:
587+783
Target:
| Input:
587+783
Target:
<scratch>
[5,8,7] has 3 digits.
[7,8,3] has 3 digits.
[5,8,7] + [7,8,3] , A=[] , C=0 , 7+3+0=10 , A->0 , C->1
[5,8] + [7,8] , A=[0] , C=1 , 8+8+1=17 , A->7 , C->1
[5] + [7] , A=[7,0] , C=1 , 5+7+1=13 , A->3 , C->1
[] + [] , A=[3,7,0] C=1 , END
</scratch>
1370
| 1370 |
Input:
946+394
Target:
| Input:
946+394
Target:
<scratch>
[9,4,6] has 3 digits.
[3,9,4] has 3 digits.
[9,4,6] + [3,9,4] , A=[] , C=0 , 6+4+0=10 , A->0 , C->1
[9,4] + [3,9] , A=[0] , C=1 , 4+9+1=14 , A->4 , C->1
[9] + [3] , A=[4,0] , C=1 , 9+3+1=13 , A->3 , C->1
[] + [] , A=[3,4,0] C=1 , END
</scratch>
1340
| 1340 |
Input:
469+878
Target:
| Input:
469+878
Target:
<scratch>
[4,6,9] has 3 digits.
[8,7,8] has 3 digits.
[4,6,9] + [8,7,8] , A=[] , C=0 , 9+8+0=17 , A->7 , C->1
[4,6] + [8,7] , A=[7] , C=1 , 6+7+1=14 , A->4 , C->1
[4] + [8] , A=[4,7] , C=1 , 4+8+1=13 , A->3 , C->1
[] + [] , A=[3,4,7] C=1 , END
</scratch>
1347
| 1347 |
Input:
998+815
Target:
| Input:
998+815
Target:
<scratch>
[9,9,8] has 3 digits.
[8,1,5] has 3 digits.
[9,9,8] + [8,1,5] , A=[] , C=0 , 8+5+0=13 , A->3 , C->1
[9,9] + [8,1] , A=[3] , C=1 , 9+1+1=11 , A->1 , C->1
[9] + [8] , A=[1,3] , C=1 , 9+8+1=18 , A->8 , C->1
[] + [] , A=[8,1,3] C=1 , END
</scratch>
1813
| 1813 |
Input:
998+642
Target:
| Input:
998+642
Target:
<scratch>
[9,9,8] has 3 digits.
[6,4,2] has 3 digits.
[9,9,8] + [6,4,2] , A=[] , C=0 , 8+2+0=10 , A->0 , C->1
[9,9] + [6,4] , A=[0] , C=1 , 9+4+1=14 , A->4 , C->1
[9] + [6] , A=[4,0] , C=1 , 9+6+1=16 , A->6 , C->1
[] + [] , A=[6,4,0] C=1 , END
</scratch>
1640
| 1640 |
Input:
978+73
Target:
| Input:
978+73
Target:
<scratch>
[9,7,8] has 3 digits.
[7,3] has 2 digits.
[9,7,8] + [7,3] , A=[] , C=0 , 8+3+0=11 , A->1 , C->1
[9,7] + [7] , A=[1] , C=1 , 7+7+1=15 , A->5 , C->1
[9] + [] , A=[5,1] , C=1 , 9+0+1=10 , A->0 , C->1
[] + [] , A=[0,5,1] C=1 , END
</scratch>
1051
| 1051 |
Input:
899+582
Target:
| Input:
899+582
Target:
<scratch>
[8,9,9] has 3 digits.
[5,8,2] has 3 digits.
[8,9,9] + [5,8,2] , A=[] , C=0 , 9+2+0=11 , A->1 , C->1
[8,9] + [5,8] , A=[1] , C=1 , 9+8+1=18 , A->8 , C->1
[8] + [5] , A=[8,1] , C=1 , 8+5+1=14 , A->4 , C->1
[] + [] , A=[4,8,1] C=1 , END
</scratch>
1481
| 1481 |
Input:
997+555
Target:
| Input:
997+555
Target:
<scratch>
[9,9,7] has 3 digits.
[5,5,5] has 3 digits.
[9,9,7] + [5,5,5] , A=[] , C=0 , 7+5+0=12 , A->2 , C->1
[9,9] + [5,5] , A=[2] , C=1 , 9+5+1=15 , A->5 , C->1
[9] + [5] , A=[5,2] , C=1 , 9+5+1=15 , A->5 , C->1
[] + [] , A=[5,5,2] C=1 , END
</scratch>
1552
| 1552 |
Input:
549+575
Target:
| Input:
549+575
Target:
<scratch>
[5,4,9] has 3 digits.
[5,7,5] has 3 digits.
[5,4,9] + [5,7,5] , A=[] , C=0 , 9+5+0=14 , A->4 , C->1
[5,4] + [5,7] , A=[4] , C=1 , 4+7+1=12 , A->2 , C->1
[5] + [5] , A=[2,4] , C=1 , 5+5+1=11 , A->1 , C->1
[] + [] , A=[1,2,4] C=1 , END
</scratch>
1124
| 1124 |
Input:
919+489
Target:
| Input:
919+489
Target:
<scratch>
[9,1,9] has 3 digits.
[4,8,9] has 3 digits.
[9,1,9] + [4,8,9] , A=[] , C=0 , 9+9+0=18 , A->8 , C->1
[9,1] + [4,8] , A=[8] , C=1 , 1+8+1=10 , A->0 , C->1
[9] + [4] , A=[0,8] , C=1 , 9+4+1=14 , A->4 , C->1
[] + [] , A=[4,0,8] C=1 , END
</scratch>
1408
| 1408 |
Input:
676+566
Target:
| Input:
676+566
Target:
<scratch>
[6,7,6] has 3 digits.
[5,6,6] has 3 digits.
[6,7,6] + [5,6,6] , A=[] , C=0 , 6+6+0=12 , A->2 , C->1
[6,7] + [5,6] , A=[2] , C=1 , 7+6+1=14 , A->4 , C->1
[6] + [5] , A=[4,2] , C=1 , 6+5+1=12 , A->2 , C->1
[] + [] , A=[2,4,2] C=1 , END
</scratch>
1242
| 1242 |
Input:
489+589
Target:
| Input:
489+589
Target:
<scratch>
[4,8,9] has 3 digits.
[5,8,9] has 3 digits.
[4,8,9] + [5,8,9] , A=[] , C=0 , 9+9+0=18 , A->8 , C->1
[4,8] + [5,8] , A=[8] , C=1 , 8+8+1=17 , A->7 , C->1
[4] + [5] , A=[7,8] , C=1 , 4+5+1=10 , A->0 , C->1
[] + [] , A=[0,7,8] C=1 , END
</scratch>
1078
| 1078 |
Input:
767+255
Target:
| Input:
767+255
Target:
<scratch>
[7,6,7] has 3 digits.
[2,5,5] has 3 digits.
[7,6,7] + [2,5,5] , A=[] , C=0 , 7+5+0=12 , A->2 , C->1
[7,6] + [2,5] , A=[2] , C=1 , 6+5+1=12 , A->2 , C->1
[7] + [2] , A=[2,2] , C=1 , 7+2+1=10 , A->0 , C->1
[] + [] , A=[0,2,2] C=1 , END
</scratch>
1022
| 1022 |
Input:
778+798
Target:
| Input:
778+798
Target:
<scratch>
[7,7,8] has 3 digits.
[7,9,8] has 3 digits.
[7,7,8] + [7,9,8] , A=[] , C=0 , 8+8+0=16 , A->6 , C->1
[7,7] + [7,9] , A=[6] , C=1 , 7+9+1=17 , A->7 , C->1
[7] + [7] , A=[7,6] , C=1 , 7+7+1=15 , A->5 , C->1
[] + [] , A=[5,7,6] C=1 , END
</scratch>
1576
| 1576 |
Input:
534+468
Target:
| Input:
534+468
Target:
<scratch>
[5,3,4] has 3 digits.
[4,6,8] has 3 digits.
[5,3,4] + [4,6,8] , A=[] , C=0 , 4+8+0=12 , A->2 , C->1
[5,3] + [4,6] , A=[2] , C=1 , 3+6+1=10 , A->0 , C->1
[5] + [4] , A=[0,2] , C=1 , 5+4+1=10 , A->0 , C->1
[] + [] , A=[0,0,2] C=1 , END
</scratch>
1002
| 1002 |
Input:
867+864
Target:
| Input:
867+864
Target:
<scratch>
[8,6,7] has 3 digits.
[8,6,4] has 3 digits.
[8,6,7] + [8,6,4] , A=[] , C=0 , 7+4+0=11 , A->1 , C->1
[8,6] + [8,6] , A=[1] , C=1 , 6+6+1=13 , A->3 , C->1
[8] + [8] , A=[3,1] , C=1 , 8+8+1=17 , A->7 , C->1
[] + [] , A=[7,3,1] C=1 , END
</scratch>
1731
| 1731 |
Input:
178+973
Target:
| Input:
178+973
Target:
<scratch>
[1,7,8] has 3 digits.
[9,7,3] has 3 digits.
[1,7,8] + [9,7,3] , A=[] , C=0 , 8+3+0=11 , A->1 , C->1
[1,7] + [9,7] , A=[1] , C=1 , 7+7+1=15 , A->5 , C->1
[1] + [9] , A=[5,1] , C=1 , 1+9+1=11 , A->1 , C->1
[] + [] , A=[1,5,1] C=1 , END
</scratch>
1151
| 1151 |
Input:
368+646
Target:
| Input:
368+646
Target:
<scratch>
[3,6,8] has 3 digits.
[6,4,6] has 3 digits.
[3,6,8] + [6,4,6] , A=[] , C=0 , 8+6+0=14 , A->4 , C->1
[3,6] + [6,4] , A=[4] , C=1 , 6+4+1=11 , A->1 , C->1
[3] + [6] , A=[1,4] , C=1 , 3+6+1=10 , A->0 , C->1
[] + [] , A=[0,1,4] C=1 , END
</scratch>
1014
| 1014 |
Input:
338+678
Target:
| Input:
338+678
Target:
<scratch>
[3,3,8] has 3 digits.
[6,7,8] has 3 digits.
[3,3,8] + [6,7,8] , A=[] , C=0 , 8+8+0=16 , A->6 , C->1
[3,3] + [6,7] , A=[6] , C=1 , 3+7+1=11 , A->1 , C->1
[3] + [6] , A=[1,6] , C=1 , 3+6+1=10 , A->0 , C->1
[] + [] , A=[0,1,6] C=1 , END
</scratch>
1016
| 1016 |
Input:
797+935
Target:
| Input:
797+935
Target:
<scratch>
[7,9,7] has 3 digits.
[9,3,5] has 3 digits.
[7,9,7] + [9,3,5] , A=[] , C=0 , 7+5+0=12 , A->2 , C->1
[7,9] + [9,3] , A=[2] , C=1 , 9+3+1=13 , A->3 , C->1
[7] + [9] , A=[3,2] , C=1 , 7+9+1=17 , A->7 , C->1
[] + [] , A=[7,3,2] C=1 , END
</scratch>
1732
| 1732 |
Input:
764+458
Target:
| Input:
764+458
Target:
<scratch>
[7,6,4] has 3 digits.
[4,5,8] has 3 digits.
[7,6,4] + [4,5,8] , A=[] , C=0 , 4+8+0=12 , A->2 , C->1
[7,6] + [4,5] , A=[2] , C=1 , 6+5+1=12 , A->2 , C->1
[7] + [4] , A=[2,2] , C=1 , 7+4+1=12 , A->2 , C->1
[] + [] , A=[2,2,2] C=1 , END
</scratch>
1222
| 1222 |
Input:
757+345
Target:
| Input:
757+345
Target:
<scratch>
[7,5,7] has 3 digits.
[3,4,5] has 3 digits.
[7,5,7] + [3,4,5] , A=[] , C=0 , 7+5+0=12 , A->2 , C->1
[7,5] + [3,4] , A=[2] , C=1 , 5+4+1=10 , A->0 , C->1
[7] + [3] , A=[0,2] , C=1 , 7+3+1=11 , A->1 , C->1
[] + [] , A=[1,0,2] C=1 , END
</scratch>
1102
| 1102 |
Input:
639+463
Target:
| Input:
639+463
Target:
<scratch>
[6,3,9] has 3 digits.
[4,6,3] has 3 digits.
[6,3,9] + [4,6,3] , A=[] , C=0 , 9+3+0=12 , A->2 , C->1
[6,3] + [4,6] , A=[2] , C=1 , 3+6+1=10 , A->0 , C->1
[6] + [4] , A=[0,2] , C=1 , 6+4+1=11 , A->1 , C->1
[] + [] , A=[1,0,2] C=1 , END
</scratch>
1102
| 1102 |
Input:
928+592
Target:
| Input:
928+592
Target:
<scratch>
[9,2,8] has 3 digits.
[5,9,2] has 3 digits.
[9,2,8] + [5,9,2] , A=[] , C=0 , 8+2+0=10 , A->0 , C->1
[9,2] + [5,9] , A=[0] , C=1 , 2+9+1=12 , A->2 , C->1
[9] + [5] , A=[2,0] , C=1 , 9+5+1=15 , A->5 , C->1
[] + [] , A=[5,2,0] C=1 , END
</scratch>
1520
| 1520 |
Input:
535+779
Target:
| Input:
535+779
Target:
<scratch>
[5,3,5] has 3 digits.
[7,7,9] has 3 digits.
[5,3,5] + [7,7,9] , A=[] , C=0 , 5+9+0=14 , A->4 , C->1
[5,3] + [7,7] , A=[4] , C=1 , 3+7+1=11 , A->1 , C->1
[5] + [7] , A=[1,4] , C=1 , 5+7+1=13 , A->3 , C->1
[] + [] , A=[3,1,4] C=1 , END
</scratch>
1314
| 1314 |
Input:
917+593
Target:
| Input:
917+593
Target:
<scratch>
[9,1,7] has 3 digits.
[5,9,3] has 3 digits.
[9,1,7] + [5,9,3] , A=[] , C=0 , 7+3+0=10 , A->0 , C->1
[9,1] + [5,9] , A=[0] , C=1 , 1+9+1=11 , A->1 , C->1
[9] + [5] , A=[1,0] , C=1 , 9+5+1=15 , A->5 , C->1
[] + [] , A=[5,1,0] C=1 , END
</scratch>
1510
| 1510 |
Input:
597+885
Target:
| Input:
597+885
Target:
<scratch>
[5,9,7] has 3 digits.
[8,8,5] has 3 digits.
[5,9,7] + [8,8,5] , A=[] , C=0 , 7+5+0=12 , A->2 , C->1
[5,9] + [8,8] , A=[2] , C=1 , 9+8+1=18 , A->8 , C->1
[5] + [8] , A=[8,2] , C=1 , 5+8+1=14 , A->4 , C->1
[] + [] , A=[4,8,2] C=1 , END
</scratch>
1482
| 1482 |
Input:
768+745
Target:
| Input:
768+745
Target:
<scratch>
[7,6,8] has 3 digits.
[7,4,5] has 3 digits.
[7,6,8] + [7,4,5] , A=[] , C=0 , 8+5+0=13 , A->3 , C->1
[7,6] + [7,4] , A=[3] , C=1 , 6+4+1=11 , A->1 , C->1
[7] + [7] , A=[1,3] , C=1 , 7+7+1=15 , A->5 , C->1
[] + [] , A=[5,1,3] C=1 , END
</scratch>
1513
| 1513 |
Input:
267+743
Target:
| Input:
267+743
Target:
<scratch>
[2,6,7] has 3 digits.
[7,4,3] has 3 digits.
[2,6,7] + [7,4,3] , A=[] , C=0 , 7+3+0=10 , A->0 , C->1
[2,6] + [7,4] , A=[0] , C=1 , 6+4+1=11 , A->1 , C->1
[2] + [7] , A=[1,0] , C=1 , 2+7+1=10 , A->0 , C->1
[] + [] , A=[0,1,0] C=1 , END
</scratch>
1010
| 1010 |
Input:
494+849
Target:
| Input:
494+849
Target:
<scratch>
[4,9,4] has 3 digits.
[8,4,9] has 3 digits.
[4,9,4] + [8,4,9] , A=[] , C=0 , 4+9+0=13 , A->3 , C->1
[4,9] + [8,4] , A=[3] , C=1 , 9+4+1=14 , A->4 , C->1
[4] + [8] , A=[4,3] , C=1 , 4+8+1=13 , A->3 , C->1
[] + [] , A=[3,4,3] C=1 , END
</scratch>
1343
| 1343 |
Input:
168+864
Target:
| Input:
168+864
Target:
<scratch>
[1,6,8] has 3 digits.
[8,6,4] has 3 digits.
[1,6,8] + [8,6,4] , A=[] , C=0 , 8+4+0=12 , A->2 , C->1
[1,6] + [8,6] , A=[2] , C=1 , 6+6+1=13 , A->3 , C->1
[1] + [8] , A=[3,2] , C=1 , 1+8+1=10 , A->0 , C->1
[] + [] , A=[0,3,2] C=1 , END
</scratch>
1032
| 1032 |
Input:
56+995
Target:
| Input:
56+995
Target:
<scratch>
[5,6] has 2 digits.
[9,9,5] has 3 digits.
[5,6] + [9,9,5] , A=[] , C=0 , 6+5+0=11 , A->1 , C->1
[5] + [9,9] , A=[1] , C=1 , 5+9+1=15 , A->5 , C->1
[] + [9] , A=[5,1] , C=1 , 0+9+1=10 , A->0 , C->1
[] + [] , A=[0,5,1] C=1 , END
</scratch>
1051
| 1051 |
Input:
254+977
Target:
| Input:
254+977
Target:
<scratch>
[2,5,4] has 3 digits.
[9,7,7] has 3 digits.
[2,5,4] + [9,7,7] , A=[] , C=0 , 4+7+0=11 , A->1 , C->1
[2,5] + [9,7] , A=[1] , C=1 , 5+7+1=13 , A->3 , C->1
[2] + [9] , A=[3,1] , C=1 , 2+9+1=12 , A->2 , C->1
[] + [] , A=[2,3,1] C=1 , END
</scratch>
1231
| 1231 |
Input:
777+626
Target:
| Input:
777+626
Target:
<scratch>
[7,7,7] has 3 digits.
[6,2,6] has 3 digits.
[7,7,7] + [6,2,6] , A=[] , C=0 , 7+6+0=13 , A->3 , C->1
[7,7] + [6,2] , A=[3] , C=1 , 7+2+1=10 , A->0 , C->1
[7] + [6] , A=[0,3] , C=1 , 7+6+1=14 , A->4 , C->1
[] + [] , A=[4,0,3] C=1 , END
</scratch>
1403
| 1403 |
Input:
742+359
Target:
| Input:
742+359
Target:
<scratch>
[7,4,2] has 3 digits.
[3,5,9] has 3 digits.
[7,4,2] + [3,5,9] , A=[] , C=0 , 2+9+0=11 , A->1 , C->1
[7,4] + [3,5] , A=[1] , C=1 , 4+5+1=10 , A->0 , C->1
[7] + [3] , A=[0,1] , C=1 , 7+3+1=11 , A->1 , C->1
[] + [] , A=[1,0,1] C=1 , END
</scratch>
1101
| 1101 |
Input:
487+543
Target:
| Input:
487+543
Target:
<scratch>
[4,8,7] has 3 digits.
[5,4,3] has 3 digits.
[4,8,7] + [5,4,3] , A=[] , C=0 , 7+3+0=10 , A->0 , C->1
[4,8] + [5,4] , A=[0] , C=1 , 8+4+1=13 , A->3 , C->1
[4] + [5] , A=[3,0] , C=1 , 4+5+1=10 , A->0 , C->1
[] + [] , A=[0,3,0] C=1 , END
</scratch>
1030
| 1030 |
Input:
795+978
Target:
| Input:
795+978
Target:
<scratch>
[7,9,5] has 3 digits.
[9,7,8] has 3 digits.
[7,9,5] + [9,7,8] , A=[] , C=0 , 5+8+0=13 , A->3 , C->1
[7,9] + [9,7] , A=[3] , C=1 , 9+7+1=17 , A->7 , C->1
[7] + [9] , A=[7,3] , C=1 , 7+9+1=17 , A->7 , C->1
[] + [] , A=[7,7,3] C=1 , END
</scratch>
1773
| 1773 |
Input:
864+898
Target:
| Input:
864+898
Target:
<scratch>
[8,6,4] has 3 digits.
[8,9,8] has 3 digits.
[8,6,4] + [8,9,8] , A=[] , C=0 , 4+8+0=12 , A->2 , C->1
[8,6] + [8,9] , A=[2] , C=1 , 6+9+1=16 , A->6 , C->1
[8] + [8] , A=[6,2] , C=1 , 8+8+1=17 , A->7 , C->1
[] + [] , A=[7,6,2] C=1 , END
</scratch>
1762
| 1762 |
Input:
566+459
Target:
| Input:
566+459
Target:
<scratch>
[5,6,6] has 3 digits.
[4,5,9] has 3 digits.
[5,6,6] + [4,5,9] , A=[] , C=0 , 6+9+0=15 , A->5 , C->1
[5,6] + [4,5] , A=[5] , C=1 , 6+5+1=12 , A->2 , C->1
[5] + [4] , A=[2,5] , C=1 , 5+4+1=10 , A->0 , C->1
[] + [] , A=[0,2,5] C=1 , END
</scratch>
1025
| 1025 |
Input:
729+782
Target:
| Input:
729+782
Target:
<scratch>
[7,2,9] has 3 digits.
[7,8,2] has 3 digits.
[7,2,9] + [7,8,2] , A=[] , C=0 , 9+2+0=11 , A->1 , C->1
[7,2] + [7,8] , A=[1] , C=1 , 2+8+1=11 , A->1 , C->1
[7] + [7] , A=[1,1] , C=1 , 7+7+1=15 , A->5 , C->1
[] + [] , A=[5,1,1] C=1 , END
</scratch>
1511
| 1511 |
Input:
784+418
Target:
| Input:
784+418
Target:
<scratch>
[7,8,4] has 3 digits.
[4,1,8] has 3 digits.
[7,8,4] + [4,1,8] , A=[] , C=0 , 4+8+0=12 , A->2 , C->1
[7,8] + [4,1] , A=[2] , C=1 , 8+1+1=10 , A->0 , C->1
[7] + [4] , A=[0,2] , C=1 , 7+4+1=12 , A->2 , C->1
[] + [] , A=[2,0,2] C=1 , END
</scratch>
1202
| 1202 |
Input:
667+353
Target:
| Input:
667+353
Target:
<scratch>
[6,6,7] has 3 digits.
[3,5,3] has 3 digits.
[6,6,7] + [3,5,3] , A=[] , C=0 , 7+3+0=10 , A->0 , C->1
[6,6] + [3,5] , A=[0] , C=1 , 6+5+1=12 , A->2 , C->1
[6] + [3] , A=[2,0] , C=1 , 6+3+1=10 , A->0 , C->1
[] + [] , A=[0,2,0] C=1 , END
</scratch>
1020
| 1020 |
Input:
897+294
Target:
| Input:
897+294
Target:
<scratch>
[8,9,7] has 3 digits.
[2,9,4] has 3 digits.
[8,9,7] + [2,9,4] , A=[] , C=0 , 7+4+0=11 , A->1 , C->1
[8,9] + [2,9] , A=[1] , C=1 , 9+9+1=19 , A->9 , C->1
[8] + [2] , A=[9,1] , C=1 , 8+2+1=11 , A->1 , C->1
[] + [] , A=[1,9,1] C=1 , END
</scratch>
1191
| 1191 |
Input:
167+853
Target:
| Input:
167+853
Target:
<scratch>
[1,6,7] has 3 digits.
[8,5,3] has 3 digits.
[1,6,7] + [8,5,3] , A=[] , C=0 , 7+3+0=10 , A->0 , C->1
[1,6] + [8,5] , A=[0] , C=1 , 6+5+1=12 , A->2 , C->1
[1] + [8] , A=[2,0] , C=1 , 1+8+1=10 , A->0 , C->1
[] + [] , A=[0,2,0] C=1 , END
</scratch>
1020
| 1020 |
Input:
884+687
Target:
| Input:
884+687
Target:
<scratch>
[8,8,4] has 3 digits.
[6,8,7] has 3 digits.
[8,8,4] + [6,8,7] , A=[] , C=0 , 4+7+0=11 , A->1 , C->1
[8,8] + [6,8] , A=[1] , C=1 , 8+8+1=17 , A->7 , C->1
[8] + [6] , A=[7,1] , C=1 , 8+6+1=15 , A->5 , C->1
[] + [] , A=[5,7,1] C=1 , END
</scratch>
1571
| 1571 |
Input:
864+488
Target:
| Input:
864+488
Target:
<scratch>
[8,6,4] has 3 digits.
[4,8,8] has 3 digits.
[8,6,4] + [4,8,8] , A=[] , C=0 , 4+8+0=12 , A->2 , C->1
[8,6] + [4,8] , A=[2] , C=1 , 6+8+1=15 , A->5 , C->1
[8] + [4] , A=[5,2] , C=1 , 8+4+1=13 , A->3 , C->1
[] + [] , A=[3,5,2] C=1 , END
</scratch>
1352
| 1352 |
Input:
844+258
Target:
| Input:
844+258
Target:
<scratch>
[8,4,4] has 3 digits.
[2,5,8] has 3 digits.
[8,4,4] + [2,5,8] , A=[] , C=0 , 4+8+0=12 , A->2 , C->1
[8,4] + [2,5] , A=[2] , C=1 , 4+5+1=10 , A->0 , C->1
[8] + [2] , A=[0,2] , C=1 , 8+2+1=11 , A->1 , C->1
[] + [] , A=[1,0,2] C=1 , END
</scratch>
1102
| 1102 |
Input:
474+548
Target:
| Input:
474+548
Target:
<scratch>
[4,7,4] has 3 digits.
[5,4,8] has 3 digits.
[4,7,4] + [5,4,8] , A=[] , C=0 , 4+8+0=12 , A->2 , C->1
[4,7] + [5,4] , A=[2] , C=1 , 7+4+1=12 , A->2 , C->1
[4] + [5] , A=[2,2] , C=1 , 4+5+1=10 , A->0 , C->1
[] + [] , A=[0,2,2] C=1 , END
</scratch>
1022
| 1022 |
Input:
645+767
Target:
| Input:
645+767
Target:
<scratch>
[6,4,5] has 3 digits.
[7,6,7] has 3 digits.
[6,4,5] + [7,6,7] , A=[] , C=0 , 5+7+0=12 , A->2 , C->1
[6,4] + [7,6] , A=[2] , C=1 , 4+6+1=11 , A->1 , C->1
[6] + [7] , A=[1,2] , C=1 , 6+7+1=14 , A->4 , C->1
[] + [] , A=[4,1,2] C=1 , END
</scratch>
1412
| 1412 |
Input:
85+938
Target:
| Input:
85+938
Target:
<scratch>
[8,5] has 2 digits.
[9,3,8] has 3 digits.
[8,5] + [9,3,8] , A=[] , C=0 , 5+8+0=13 , A->3 , C->1
[8] + [9,3] , A=[3] , C=1 , 8+3+1=12 , A->2 , C->1
[] + [9] , A=[2,3] , C=1 , 0+9+1=10 , A->0 , C->1
[] + [] , A=[0,2,3] C=1 , END
</scratch>
1023
| 1023 |
Input:
789+516
Target:
| Input:
789+516
Target:
<scratch>
[7,8,9] has 3 digits.
[5,1,6] has 3 digits.
[7,8,9] + [5,1,6] , A=[] , C=0 , 9+6+0=15 , A->5 , C->1
[7,8] + [5,1] , A=[5] , C=1 , 8+1+1=10 , A->0 , C->1
[7] + [5] , A=[0,5] , C=1 , 7+5+1=13 , A->3 , C->1
[] + [] , A=[3,0,5] C=1 , END
</scratch>
1305
| 1305 |
Input:
347+995
Target:
| Input:
347+995
Target:
<scratch>
[3,4,7] has 3 digits.
[9,9,5] has 3 digits.
[3,4,7] + [9,9,5] , A=[] , C=0 , 7+5+0=12 , A->2 , C->1
[3,4] + [9,9] , A=[2] , C=1 , 4+9+1=14 , A->4 , C->1
[3] + [9] , A=[4,2] , C=1 , 3+9+1=13 , A->3 , C->1
[] + [] , A=[3,4,2] C=1 , END
</scratch>
1342
| 1342 |
Input:
753+789
Target:
| Input:
753+789
Target:
<scratch>
[7,5,3] has 3 digits.
[7,8,9] has 3 digits.
[7,5,3] + [7,8,9] , A=[] , C=0 , 3+9+0=12 , A->2 , C->1
[7,5] + [7,8] , A=[2] , C=1 , 5+8+1=14 , A->4 , C->1
[7] + [7] , A=[4,2] , C=1 , 7+7+1=15 , A->5 , C->1
[] + [] , A=[5,4,2] C=1 , END
</scratch>
1542
| 1542 |
Input:
984+759
Target:
| Input:
984+759
Target:
<scratch>
[9,8,4] has 3 digits.
[7,5,9] has 3 digits.
[9,8,4] + [7,5,9] , A=[] , C=0 , 4+9+0=13 , A->3 , C->1
[9,8] + [7,5] , A=[3] , C=1 , 8+5+1=14 , A->4 , C->1
[9] + [7] , A=[4,3] , C=1 , 9+7+1=17 , A->7 , C->1
[] + [] , A=[7,4,3] C=1 , END
</scratch>
1743
| 1743 |
Input:
859+762
Target:
| Input:
859+762
Target:
<scratch>
[8,5,9] has 3 digits.
[7,6,2] has 3 digits.
[8,5,9] + [7,6,2] , A=[] , C=0 , 9+2+0=11 , A->1 , C->1
[8,5] + [7,6] , A=[1] , C=1 , 5+6+1=12 , A->2 , C->1
[8] + [7] , A=[2,1] , C=1 , 8+7+1=16 , A->6 , C->1
[] + [] , A=[6,2,1] C=1 , END
</scratch>
1621
| 1621 |
Input:
878+253
Target:
| Input:
878+253
Target:
<scratch>
[8,7,8] has 3 digits.
[2,5,3] has 3 digits.
[8,7,8] + [2,5,3] , A=[] , C=0 , 8+3+0=11 , A->1 , C->1
[8,7] + [2,5] , A=[1] , C=1 , 7+5+1=13 , A->3 , C->1
[8] + [2] , A=[3,1] , C=1 , 8+2+1=11 , A->1 , C->1
[] + [] , A=[1,3,1] C=1 , END
</scratch>
1131
| 1131 |
Input:
382+949
Target:
| Input:
382+949
Target:
<scratch>
[3,8,2] has 3 digits.
[9,4,9] has 3 digits.
[3,8,2] + [9,4,9] , A=[] , C=0 , 2+9+0=11 , A->1 , C->1
[3,8] + [9,4] , A=[1] , C=1 , 8+4+1=13 , A->3 , C->1
[3] + [9] , A=[3,1] , C=1 , 3+9+1=13 , A->3 , C->1
[] + [] , A=[3,3,1] C=1 , END
</scratch>
1331
| 1331 |
Input:
982+518
Target:
| Input:
982+518
Target:
<scratch>
[9,8,2] has 3 digits.
[5,1,8] has 3 digits.
[9,8,2] + [5,1,8] , A=[] , C=0 , 2+8+0=10 , A->0 , C->1
[9,8] + [5,1] , A=[0] , C=1 , 8+1+1=10 , A->0 , C->1
[9] + [5] , A=[0,0] , C=1 , 9+5+1=15 , A->5 , C->1
[] + [] , A=[5,0,0] C=1 , END
</scratch>
1500
| 1500 |
Input:
256+858
Target:
| Input:
256+858
Target:
<scratch>
[2,5,6] has 3 digits.
[8,5,8] has 3 digits.
[2,5,6] + [8,5,8] , A=[] , C=0 , 6+8+0=14 , A->4 , C->1
[2,5] + [8,5] , A=[4] , C=1 , 5+5+1=11 , A->1 , C->1
[2] + [8] , A=[1,4] , C=1 , 2+8+1=11 , A->1 , C->1
[] + [] , A=[1,1,4] C=1 , END
</scratch>
1114
| 1114 |
Input:
697+906
Target:
| Input:
697+906
Target:
<scratch>
[6,9,7] has 3 digits.
[9,0,6] has 3 digits.
[6,9,7] + [9,0,6] , A=[] , C=0 , 7+6+0=13 , A->3 , C->1
[6,9] + [9,0] , A=[3] , C=1 , 9+0+1=10 , A->0 , C->1
[6] + [9] , A=[0,3] , C=1 , 6+9+1=16 , A->6 , C->1
[] + [] , A=[6,0,3] C=1 , END
</scratch>
1603
| 1603 |
Input:
877+466
Target:
| Input:
877+466
Target:
<scratch>
[8,7,7] has 3 digits.
[4,6,6] has 3 digits.
[8,7,7] + [4,6,6] , A=[] , C=0 , 7+6+0=13 , A->3 , C->1
[8,7] + [4,6] , A=[3] , C=1 , 7+6+1=14 , A->4 , C->1
[8] + [4] , A=[4,3] , C=1 , 8+4+1=13 , A->3 , C->1
[] + [] , A=[3,4,3] C=1 , END
</scratch>
1343
| 1343 |
Input:
666+459
Target:
| Input:
666+459
Target:
<scratch>
[6,6,6] has 3 digits.
[4,5,9] has 3 digits.
[6,6,6] + [4,5,9] , A=[] , C=0 , 6+9+0=15 , A->5 , C->1
[6,6] + [4,5] , A=[5] , C=1 , 6+5+1=12 , A->2 , C->1
[6] + [4] , A=[2,5] , C=1 , 6+4+1=11 , A->1 , C->1
[] + [] , A=[1,2,5] C=1 , END
</scratch>
1125
| 1125 |
Input:
665+878
Target:
| Input:
665+878
Target:
<scratch>
[6,6,5] has 3 digits.
[8,7,8] has 3 digits.
[6,6,5] + [8,7,8] , A=[] , C=0 , 5+8+0=13 , A->3 , C->1
[6,6] + [8,7] , A=[3] , C=1 , 6+7+1=14 , A->4 , C->1
[6] + [8] , A=[4,3] , C=1 , 6+8+1=15 , A->5 , C->1
[] + [] , A=[5,4,3] C=1 , END
</scratch>
1543
| 1543 |
Input:
497+596
Target:
| Input:
497+596
Target:
<scratch>
[4,9,7] has 3 digits.
[5,9,6] has 3 digits.
[4,9,7] + [5,9,6] , A=[] , C=0 , 7+6+0=13 , A->3 , C->1
[4,9] + [5,9] , A=[3] , C=1 , 9+9+1=19 , A->9 , C->1
[4] + [5] , A=[9,3] , C=1 , 4+5+1=10 , A->0 , C->1
[] + [] , A=[0,9,3] C=1 , END
</scratch>
1093
| 1093 |
Input:
943+158
Target:
| Input:
943+158
Target:
<scratch>
[9,4,3] has 3 digits.
[1,5,8] has 3 digits.
[9,4,3] + [1,5,8] , A=[] , C=0 , 3+8+0=11 , A->1 , C->1
[9,4] + [1,5] , A=[1] , C=1 , 4+5+1=10 , A->0 , C->1
[9] + [1] , A=[0,1] , C=1 , 9+1+1=11 , A->1 , C->1
[] + [] , A=[1,0,1] C=1 , END
</scratch>
1101
| 1101 |
Input:
844+287
Target:
| Input:
844+287
Target:
<scratch>
[8,4,4] has 3 digits.
[2,8,7] has 3 digits.
[8,4,4] + [2,8,7] , A=[] , C=0 , 4+7+0=11 , A->1 , C->1
[8,4] + [2,8] , A=[1] , C=1 , 4+8+1=13 , A->3 , C->1
[8] + [2] , A=[3,1] , C=1 , 8+2+1=11 , A->1 , C->1
[] + [] , A=[1,3,1] C=1 , END
</scratch>
1131
| 1131 |
Input:
347+799
Target:
| Input:
347+799
Target:
<scratch>
[3,4,7] has 3 digits.
[7,9,9] has 3 digits.
[3,4,7] + [7,9,9] , A=[] , C=0 , 7+9+0=16 , A->6 , C->1
[3,4] + [7,9] , A=[6] , C=1 , 4+9+1=14 , A->4 , C->1
[3] + [7] , A=[4,6] , C=1 , 3+7+1=11 , A->1 , C->1
[] + [] , A=[1,4,6] C=1 , END
</scratch>
1146
| 1146 |
Input:
857+687
Target:
| Input:
857+687
Target:
<scratch>
[8,5,7] has 3 digits.
[6,8,7] has 3 digits.
[8,5,7] + [6,8,7] , A=[] , C=0 , 7+7+0=14 , A->4 , C->1
[8,5] + [6,8] , A=[4] , C=1 , 5+8+1=14 , A->4 , C->1
[8] + [6] , A=[4,4] , C=1 , 8+6+1=15 , A->5 , C->1
[] + [] , A=[5,4,4] C=1 , END
</scratch>
1544
| 1544 |
Input:
655+549
Target:
| Input:
655+549
Target:
<scratch>
[6,5,5] has 3 digits.
[5,4,9] has 3 digits.
[6,5,5] + [5,4,9] , A=[] , C=0 , 5+9+0=14 , A->4 , C->1
[6,5] + [5,4] , A=[4] , C=1 , 5+4+1=10 , A->0 , C->1
[6] + [5] , A=[0,4] , C=1 , 6+5+1=12 , A->2 , C->1
[] + [] , A=[2,0,4] C=1 , END
</scratch>
1204
| 1204 |
Input:
617+587
Target:
| Input:
617+587
Target:
<scratch>
[6,1,7] has 3 digits.
[5,8,7] has 3 digits.
[6,1,7] + [5,8,7] , A=[] , C=0 , 7+7+0=14 , A->4 , C->1
[6,1] + [5,8] , A=[4] , C=1 , 1+8+1=10 , A->0 , C->1
[6] + [5] , A=[0,4] , C=1 , 6+5+1=12 , A->2 , C->1
[] + [] , A=[2,0,4] C=1 , END
</scratch>
1204
| 1204 |
Input:
647+884
Target:
| Input:
647+884
Target:
<scratch>
[6,4,7] has 3 digits.
[8,8,4] has 3 digits.
[6,4,7] + [8,8,4] , A=[] , C=0 , 7+4+0=11 , A->1 , C->1
[6,4] + [8,8] , A=[1] , C=1 , 4+8+1=13 , A->3 , C->1
[6] + [8] , A=[3,1] , C=1 , 6+8+1=15 , A->5 , C->1
[] + [] , A=[5,3,1] C=1 , END
</scratch>
1531
| 1531 |
Input:
541+989
Target:
| Input:
541+989
Target:
<scratch>
[5,4,1] has 3 digits.
[9,8,9] has 3 digits.
[5,4,1] + [9,8,9] , A=[] , C=0 , 1+9+0=10 , A->0 , C->1
[5,4] + [9,8] , A=[0] , C=1 , 4+8+1=13 , A->3 , C->1
[5] + [9] , A=[3,0] , C=1 , 5+9+1=15 , A->5 , C->1
[] + [] , A=[5,3,0] C=1 , END
</scratch>
1530
| 1530 |
Input:
585+666
Target:
| Input:
585+666
Target:
<scratch>
[5,8,5] has 3 digits.
[6,6,6] has 3 digits.
[5,8,5] + [6,6,6] , A=[] , C=0 , 5+6+0=11 , A->1 , C->1
[5,8] + [6,6] , A=[1] , C=1 , 8+6+1=15 , A->5 , C->1
[5] + [6] , A=[5,1] , C=1 , 5+6+1=12 , A->2 , C->1
[] + [] , A=[2,5,1] C=1 , END
</scratch>
1251
| 1251 |
Input:
782+339
Target:
| Input:
782+339
Target:
<scratch>
[7,8,2] has 3 digits.
[3,3,9] has 3 digits.
[7,8,2] + [3,3,9] , A=[] , C=0 , 2+9+0=11 , A->1 , C->1
[7,8] + [3,3] , A=[1] , C=1 , 8+3+1=12 , A->2 , C->1
[7] + [3] , A=[2,1] , C=1 , 7+3+1=11 , A->1 , C->1
[] + [] , A=[1,2,1] C=1 , END
</scratch>
1121
| 1121 |
Input:
829+276
Target:
| Input:
829+276
Target:
<scratch>
[8,2,9] has 3 digits.
[2,7,6] has 3 digits.
[8,2,9] + [2,7,6] , A=[] , C=0 , 9+6+0=15 , A->5 , C->1
[8,2] + [2,7] , A=[5] , C=1 , 2+7+1=10 , A->0 , C->1
[8] + [2] , A=[0,5] , C=1 , 8+2+1=11 , A->1 , C->1
[] + [] , A=[1,0,5] C=1 , END
</scratch>
1105
| 1105 |
Input:
768+783
Target:
| Input:
768+783
Target:
<scratch>
[7,6,8] has 3 digits.
[7,8,3] has 3 digits.
[7,6,8] + [7,8,3] , A=[] , C=0 , 8+3+0=11 , A->1 , C->1
[7,6] + [7,8] , A=[1] , C=1 , 6+8+1=15 , A->5 , C->1
[7] + [7] , A=[5,1] , C=1 , 7+7+1=15 , A->5 , C->1
[] + [] , A=[5,5,1] C=1 , END
</scratch>
1551
| 1551 |
Input:
678+934
Target:
| Input:
678+934
Target:
<scratch>
[6,7,8] has 3 digits.
[9,3,4] has 3 digits.
[6,7,8] + [9,3,4] , A=[] , C=0 , 8+4+0=12 , A->2 , C->1
[6,7] + [9,3] , A=[2] , C=1 , 7+3+1=11 , A->1 , C->1
[6] + [9] , A=[1,2] , C=1 , 6+9+1=16 , A->6 , C->1
[] + [] , A=[6,1,2] C=1 , END
</scratch>
1612
| 1612 |
Input:
661+669
Target:
| Input:
661+669
Target:
<scratch>
[6,6,1] has 3 digits.
[6,6,9] has 3 digits.
[6,6,1] + [6,6,9] , A=[] , C=0 , 1+9+0=10 , A->0 , C->1
[6,6] + [6,6] , A=[0] , C=1 , 6+6+1=13 , A->3 , C->1
[6] + [6] , A=[3,0] , C=1 , 6+6+1=13 , A->3 , C->1
[] + [] , A=[3,3,0] C=1 , END
</scratch>
1330
| 1330 |
Input:
934+99
Target:
| Input:
934+99
Target:
<scratch>
[9,3,4] has 3 digits.
[9,9] has 2 digits.
[9,3,4] + [9,9] , A=[] , C=0 , 4+9+0=13 , A->3 , C->1
[9,3] + [9] , A=[3] , C=1 , 3+9+1=13 , A->3 , C->1
[9] + [] , A=[3,3] , C=1 , 9+0+1=10 , A->0 , C->1
[] + [] , A=[0,3,3] C=1 , END
</scratch>
1033
| 1033 |
Input:
956+359
Target:
| Input:
956+359
Target:
<scratch>
[9,5,6] has 3 digits.
[3,5,9] has 3 digits.
[9,5,6] + [3,5,9] , A=[] , C=0 , 6+9+0=15 , A->5 , C->1
[9,5] + [3,5] , A=[5] , C=1 , 5+5+1=11 , A->1 , C->1
[9] + [3] , A=[1,5] , C=1 , 9+3+1=13 , A->3 , C->1
[] + [] , A=[3,1,5] C=1 , END
</scratch>
1315
| 1315 |
Input:
999+922
Target:
| Input:
999+922
Target:
<scratch>
[9,9,9] has 3 digits.
[9,2,2] has 3 digits.
[9,9,9] + [9,2,2] , A=[] , C=0 , 9+2+0=11 , A->1 , C->1
[9,9] + [9,2] , A=[1] , C=1 , 9+2+1=12 , A->2 , C->1
[9] + [9] , A=[2,1] , C=1 , 9+9+1=19 , A->9 , C->1
[] + [] , A=[9,2,1] C=1 , END
</scratch>
1921
| 1921 |
Input:
584+517
Target:
| Input:
584+517
Target:
<scratch>
[5,8,4] has 3 digits.
[5,1,7] has 3 digits.
[5,8,4] + [5,1,7] , A=[] , C=0 , 4+7+0=11 , A->1 , C->1
[5,8] + [5,1] , A=[1] , C=1 , 8+1+1=10 , A->0 , C->1
[5] + [5] , A=[0,1] , C=1 , 5+5+1=11 , A->1 , C->1
[] + [] , A=[1,0,1] C=1 , END
</scratch>
1101
| 1101 |
Input:
388+713
Target:
| Input:
388+713
Target:
<scratch>
[3,8,8] has 3 digits.
[7,1,3] has 3 digits.
[3,8,8] + [7,1,3] , A=[] , C=0 , 8+3+0=11 , A->1 , C->1
[3,8] + [7,1] , A=[1] , C=1 , 8+1+1=10 , A->0 , C->1
[3] + [7] , A=[0,1] , C=1 , 3+7+1=11 , A->1 , C->1
[] + [] , A=[1,0,1] C=1 , END
</scratch>
1101
| 1101 |
Subsets and Splits