input_test
stringlengths 19
23
| scratchpad
stringlengths 151
283
| result_final
stringlengths 1
4
|
|---|---|---|
Input:
130+970
Target:
| Input:
130+970
Target:
<scratch>
[1,3,0] has 3 digits.
[9,7,0] has 3 digits.
[1,3,0] + [9,7,0] , A=[] , C=0 , 0+0+0=0 , A->0 , C->0
[1,3] + [9,7] , A=[0] , C=0 , 3+7+0=10 , A->0 , C->1
[1] + [9] , A=[0,0] , C=1 , 1+9+1=11 , A->1 , C->1
[] + [] , A=[1,0,0] C=1 , END
</scratch>
1100
| 1100 |
Input:
997+204
Target:
| Input:
997+204
Target:
<scratch>
[9,9,7] has 3 digits.
[2,0,4] has 3 digits.
[9,9,7] + [2,0,4] , A=[] , C=0 , 7+4+0=11 , A->1 , C->1
[9,9] + [2,0] , A=[1] , C=1 , 9+0+1=10 , A->0 , C->1
[9] + [2] , A=[0,1] , C=1 , 9+2+1=12 , A->2 , C->1
[] + [] , A=[2,0,1] C=1 , END
</scratch>
1201
| 1201 |
Input:
395+825
Target:
| Input:
395+825
Target:
<scratch>
[3,9,5] has 3 digits.
[8,2,5] has 3 digits.
[3,9,5] + [8,2,5] , A=[] , C=0 , 5+5+0=10 , A->0 , C->1
[3,9] + [8,2] , A=[0] , C=1 , 9+2+1=12 , A->2 , C->1
[3] + [8] , A=[2,0] , C=1 , 3+8+1=12 , A->2 , C->1
[] + [] , A=[2,2,0] C=1 , END
</scratch>
1220
| 1220 |
Input:
896+430
Target:
| Input:
896+430
Target:
<scratch>
[8,9,6] has 3 digits.
[4,3,0] has 3 digits.
[8,9,6] + [4,3,0] , A=[] , C=0 , 6+0+0=6 , A->6 , C->0
[8,9] + [4,3] , A=[6] , C=0 , 9+3+0=12 , A->2 , C->1
[8] + [4] , A=[2,6] , C=1 , 8+4+1=13 , A->3 , C->1
[] + [] , A=[3,2,6] C=1 , END
</scratch>
1326
| 1326 |
Input:
888+567
Target:
| Input:
888+567
Target:
<scratch>
[8,8,8] has 3 digits.
[5,6,7] has 3 digits.
[8,8,8] + [5,6,7] , A=[] , C=0 , 8+7+0=15 , A->5 , C->1
[8,8] + [5,6] , A=[5] , C=1 , 8+6+1=15 , A->5 , C->1
[8] + [5] , A=[5,5] , C=1 , 8+5+1=14 , A->4 , C->1
[] + [] , A=[4,5,5] C=1 , END
</scratch>
1455
| 1455 |
Input:
598+373
Target:
| Input:
598+373
Target:
<scratch>
[5,9,8] has 3 digits.
[3,7,3] has 3 digits.
[5,9,8] + [3,7,3] , A=[] , C=0 , 8+3+0=11 , A->1 , C->1
[5,9] + [3,7] , A=[1] , C=1 , 9+7+1=17 , A->7 , C->1
[5] + [3] , A=[7,1] , C=1 , 5+3+1=9 , A->9 , C->0
[] + [] , A=[9,7,1] C=0 , END
</scratch>
971
| 971 |
Input:
580+960
Target:
| Input:
580+960
Target:
<scratch>
[5,8,0] has 3 digits.
[9,6,0] has 3 digits.
[5,8,0] + [9,6,0] , A=[] , C=0 , 0+0+0=0 , A->0 , C->0
[5,8] + [9,6] , A=[0] , C=0 , 8+6+0=14 , A->4 , C->1
[5] + [9] , A=[4,0] , C=1 , 5+9+1=15 , A->5 , C->1
[] + [] , A=[5,4,0] C=1 , END
</scratch>
1540
| 1540 |
Input:
844+387
Target:
| Input:
844+387
Target:
<scratch>
[8,4,4] has 3 digits.
[3,8,7] has 3 digits.
[8,4,4] + [3,8,7] , A=[] , C=0 , 4+7+0=11 , A->1 , C->1
[8,4] + [3,8] , A=[1] , C=1 , 4+8+1=13 , A->3 , C->1
[8] + [3] , A=[3,1] , C=1 , 8+3+1=12 , A->2 , C->1
[] + [] , A=[2,3,1] C=1 , END
</scratch>
1231
| 1231 |
Input:
369+840
Target:
| Input:
369+840
Target:
<scratch>
[3,6,9] has 3 digits.
[8,4,0] has 3 digits.
[3,6,9] + [8,4,0] , A=[] , C=0 , 9+0+0=9 , A->9 , C->0
[3,6] + [8,4] , A=[9] , C=0 , 6+4+0=10 , A->0 , C->1
[3] + [8] , A=[0,9] , C=1 , 3+8+1=12 , A->2 , C->1
[] + [] , A=[2,0,9] C=1 , END
</scratch>
1209
| 1209 |
Input:
981+81
Target:
| Input:
981+81
Target:
<scratch>
[9,8,1] has 3 digits.
[8,1] has 2 digits.
[9,8,1] + [8,1] , A=[] , C=0 , 1+1+0=2 , A->2 , C->0
[9,8] + [8] , A=[2] , C=0 , 8+8+0=16 , A->6 , C->1
[9] + [] , A=[6,2] , C=1 , 9+0+1=10 , A->0 , C->1
[] + [] , A=[0,6,2] C=1 , END
</scratch>
1062
| 1062 |
Input:
749+40
Target:
| Input:
749+40
Target:
<scratch>
[7,4,9] has 3 digits.
[4,0] has 2 digits.
[7,4,9] + [4,0] , A=[] , C=0 , 9+0+0=9 , A->9 , C->0
[7,4] + [4] , A=[9] , C=0 , 4+4+0=8 , A->8 , C->0
[7] + [] , A=[8,9] , C=0 , 7+0+0=7 , A->7 , C->0
[] + [] , A=[7,8,9] C=0 , END
</scratch>
789
| 789 |
Input:
48+185
Target:
| Input:
48+185
Target:
<scratch>
[4,8] has 2 digits.
[1,8,5] has 3 digits.
[4,8] + [1,8,5] , A=[] , C=0 , 8+5+0=13 , A->3 , C->1
[4] + [1,8] , A=[3] , C=1 , 4+8+1=13 , A->3 , C->1
[] + [1] , A=[3,3] , C=1 , 0+1+1=2 , A->2 , C->0
[] + [] , A=[2,3,3] C=0 , END
</scratch>
233
| 233 |
Input:
486+256
Target:
| Input:
486+256
Target:
<scratch>
[4,8,6] has 3 digits.
[2,5,6] has 3 digits.
[4,8,6] + [2,5,6] , A=[] , C=0 , 6+6+0=12 , A->2 , C->1
[4,8] + [2,5] , A=[2] , C=1 , 8+5+1=14 , A->4 , C->1
[4] + [2] , A=[4,2] , C=1 , 4+2+1=7 , A->7 , C->0
[] + [] , A=[7,4,2] C=0 , END
</scratch>
742
| 742 |
Input:
479+26
Target:
| Input:
479+26
Target:
<scratch>
[4,7,9] has 3 digits.
[2,6] has 2 digits.
[4,7,9] + [2,6] , A=[] , C=0 , 9+6+0=15 , A->5 , C->1
[4,7] + [2] , A=[5] , C=1 , 7+2+1=10 , A->0 , C->1
[4] + [] , A=[0,5] , C=1 , 4+0+1=5 , A->5 , C->0
[] + [] , A=[5,0,5] C=0 , END
</scratch>
505
| 505 |
Input:
808+209
Target:
| Input:
808+209
Target:
<scratch>
[8,0,8] has 3 digits.
[2,0,9] has 3 digits.
[8,0,8] + [2,0,9] , A=[] , C=0 , 8+9+0=17 , A->7 , C->1
[8,0] + [2,0] , A=[7] , C=1 , 0+0+1=1 , A->1 , C->0
[8] + [2] , A=[1,7] , C=0 , 8+2+0=10 , A->0 , C->1
[] + [] , A=[0,1,7] C=1 , END
</scratch>
1017
| 1017 |
Input:
506+430
Target:
| Input:
506+430
Target:
<scratch>
[5,0,6] has 3 digits.
[4,3,0] has 3 digits.
[5,0,6] + [4,3,0] , A=[] , C=0 , 6+0+0=6 , A->6 , C->0
[5,0] + [4,3] , A=[6] , C=0 , 0+3+0=3 , A->3 , C->0
[5] + [4] , A=[3,6] , C=0 , 5+4+0=9 , A->9 , C->0
[] + [] , A=[9,3,6] C=0 , END
</scratch>
936
| 936 |
Input:
657+663
Target:
| Input:
657+663
Target:
<scratch>
[6,5,7] has 3 digits.
[6,6,3] has 3 digits.
[6,5,7] + [6,6,3] , A=[] , C=0 , 7+3+0=10 , A->0 , C->1
[6,5] + [6,6] , A=[0] , C=1 , 5+6+1=12 , A->2 , C->1
[6] + [6] , A=[2,0] , C=1 , 6+6+1=13 , A->3 , C->1
[] + [] , A=[3,2,0] C=1 , END
</scratch>
1320
| 1320 |
Input:
656+554
Target:
| Input:
656+554
Target:
<scratch>
[6,5,6] has 3 digits.
[5,5,4] has 3 digits.
[6,5,6] + [5,5,4] , A=[] , C=0 , 6+4+0=10 , A->0 , C->1
[6,5] + [5,5] , A=[0] , C=1 , 5+5+1=11 , A->1 , C->1
[6] + [5] , A=[1,0] , C=1 , 6+5+1=12 , A->2 , C->1
[] + [] , A=[2,1,0] C=1 , END
</scratch>
1210
| 1210 |
Input:
836+11
Target:
| Input:
836+11
Target:
<scratch>
[8,3,6] has 3 digits.
[1,1] has 2 digits.
[8,3,6] + [1,1] , A=[] , C=0 , 6+1+0=7 , A->7 , C->0
[8,3] + [1] , A=[7] , C=0 , 3+1+0=4 , A->4 , C->0
[8] + [] , A=[4,7] , C=0 , 8+0+0=8 , A->8 , C->0
[] + [] , A=[8,4,7] C=0 , END
</scratch>
847
| 847 |
Input:
678+938
Target:
| Input:
678+938
Target:
<scratch>
[6,7,8] has 3 digits.
[9,3,8] has 3 digits.
[6,7,8] + [9,3,8] , A=[] , C=0 , 8+8+0=16 , A->6 , C->1
[6,7] + [9,3] , A=[6] , C=1 , 7+3+1=11 , A->1 , C->1
[6] + [9] , A=[1,6] , C=1 , 6+9+1=16 , A->6 , C->1
[] + [] , A=[6,1,6] C=1 , END
</scratch>
1616
| 1616 |
Input:
550+413
Target:
| Input:
550+413
Target:
<scratch>
[5,5,0] has 3 digits.
[4,1,3] has 3 digits.
[5,5,0] + [4,1,3] , A=[] , C=0 , 0+3+0=3 , A->3 , C->0
[5,5] + [4,1] , A=[3] , C=0 , 5+1+0=6 , A->6 , C->0
[5] + [4] , A=[6,3] , C=0 , 5+4+0=9 , A->9 , C->0
[] + [] , A=[9,6,3] C=0 , END
</scratch>
963
| 963 |
Input:
317+789
Target:
| Input:
317+789
Target:
<scratch>
[3,1,7] has 3 digits.
[7,8,9] has 3 digits.
[3,1,7] + [7,8,9] , A=[] , C=0 , 7+9+0=16 , A->6 , C->1
[3,1] + [7,8] , A=[6] , C=1 , 1+8+1=10 , A->0 , C->1
[3] + [7] , A=[0,6] , C=1 , 3+7+1=11 , A->1 , C->1
[] + [] , A=[1,0,6] C=1 , END
</scratch>
1106
| 1106 |
Input:
489+915
Target:
| Input:
489+915
Target:
<scratch>
[4,8,9] has 3 digits.
[9,1,5] has 3 digits.
[4,8,9] + [9,1,5] , A=[] , C=0 , 9+5+0=14 , A->4 , C->1
[4,8] + [9,1] , A=[4] , C=1 , 8+1+1=10 , A->0 , C->1
[4] + [9] , A=[0,4] , C=1 , 4+9+1=14 , A->4 , C->1
[] + [] , A=[4,0,4] C=1 , END
</scratch>
1404
| 1404 |
Input:
693+488
Target:
| Input:
693+488
Target:
<scratch>
[6,9,3] has 3 digits.
[4,8,8] has 3 digits.
[6,9,3] + [4,8,8] , A=[] , C=0 , 3+8+0=11 , A->1 , C->1
[6,9] + [4,8] , A=[1] , C=1 , 9+8+1=18 , A->8 , C->1
[6] + [4] , A=[8,1] , C=1 , 6+4+1=11 , A->1 , C->1
[] + [] , A=[1,8,1] C=1 , END
</scratch>
1181
| 1181 |
Input:
336+769
Target:
| Input:
336+769
Target:
<scratch>
[3,3,6] has 3 digits.
[7,6,9] has 3 digits.
[3,3,6] + [7,6,9] , A=[] , C=0 , 6+9+0=15 , A->5 , C->1
[3,3] + [7,6] , A=[5] , C=1 , 3+6+1=10 , A->0 , C->1
[3] + [7] , A=[0,5] , C=1 , 3+7+1=11 , A->1 , C->1
[] + [] , A=[1,0,5] C=1 , END
</scratch>
1105
| 1105 |
Input:
262+333
Target:
| Input:
262+333
Target:
<scratch>
[2,6,2] has 3 digits.
[3,3,3] has 3 digits.
[2,6,2] + [3,3,3] , A=[] , C=0 , 2+3+0=5 , A->5 , C->0
[2,6] + [3,3] , A=[5] , C=0 , 6+3+0=9 , A->9 , C->0
[2] + [3] , A=[9,5] , C=0 , 2+3+0=5 , A->5 , C->0
[] + [] , A=[5,9,5] C=0 , END
</scratch>
595
| 595 |
Input:
451+42
Target:
| Input:
451+42
Target:
<scratch>
[4,5,1] has 3 digits.
[4,2] has 2 digits.
[4,5,1] + [4,2] , A=[] , C=0 , 1+2+0=3 , A->3 , C->0
[4,5] + [4] , A=[3] , C=0 , 5+4+0=9 , A->9 , C->0
[4] + [] , A=[9,3] , C=0 , 4+0+0=4 , A->4 , C->0
[] + [] , A=[4,9,3] C=0 , END
</scratch>
493
| 493 |
Input:
436+985
Target:
| Input:
436+985
Target:
<scratch>
[4,3,6] has 3 digits.
[9,8,5] has 3 digits.
[4,3,6] + [9,8,5] , A=[] , C=0 , 6+5+0=11 , A->1 , C->1
[4,3] + [9,8] , A=[1] , C=1 , 3+8+1=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:
200+330
Target:
| Input:
200+330
Target:
<scratch>
[2,0,0] has 3 digits.
[3,3,0] has 3 digits.
[2,0,0] + [3,3,0] , A=[] , C=0 , 0+0+0=0 , A->0 , C->0
[2,0] + [3,3] , A=[0] , C=0 , 0+3+0=3 , A->3 , C->0
[2] + [3] , A=[3,0] , C=0 , 2+3+0=5 , A->5 , C->0
[] + [] , A=[5,3,0] C=0 , END
</scratch>
530
| 530 |
Input:
894+929
Target:
| Input:
894+929
Target:
<scratch>
[8,9,4] has 3 digits.
[9,2,9] has 3 digits.
[8,9,4] + [9,2,9] , A=[] , C=0 , 4+9+0=13 , A->3 , C->1
[8,9] + [9,2] , A=[3] , C=1 , 9+2+1=12 , A->2 , C->1
[8] + [9] , A=[2,3] , C=1 , 8+9+1=18 , A->8 , C->1
[] + [] , A=[8,2,3] C=1 , END
</scratch>
1823
| 1823 |
Input:
62+3
Target:
| Input:
62+3
Target:
<scratch>
[6,2] has 2 digits.
[3] has 1 digits.
[6,2] + [3] , A=[] , C=0 , 2+3+0=5 , A->5 , C->0
[6] + [] , A=[5] , C=0 , 6+0+0=6 , A->6 , C->0
[] + [] , A=[6,5] C=0 , END
</scratch>
65
| 65 |
Input:
598+818
Target:
| Input:
598+818
Target:
<scratch>
[5,9,8] has 3 digits.
[8,1,8] has 3 digits.
[5,9,8] + [8,1,8] , A=[] , C=0 , 8+8+0=16 , A->6 , C->1
[5,9] + [8,1] , A=[6] , C=1 , 9+1+1=11 , A->1 , C->1
[5] + [8] , A=[1,6] , C=1 , 5+8+1=14 , A->4 , C->1
[] + [] , A=[4,1,6] C=1 , END
</scratch>
1416
| 1416 |
Input:
556+411
Target:
| Input:
556+411
Target:
<scratch>
[5,5,6] has 3 digits.
[4,1,1] has 3 digits.
[5,5,6] + [4,1,1] , A=[] , C=0 , 6+1+0=7 , A->7 , C->0
[5,5] + [4,1] , A=[7] , C=0 , 5+1+0=6 , A->6 , C->0
[5] + [4] , A=[6,7] , C=0 , 5+4+0=9 , A->9 , C->0
[] + [] , A=[9,6,7] C=0 , END
</scratch>
967
| 967 |
Input:
121+541
Target:
| Input:
121+541
Target:
<scratch>
[1,2,1] has 3 digits.
[5,4,1] has 3 digits.
[1,2,1] + [5,4,1] , A=[] , C=0 , 1+1+0=2 , A->2 , C->0
[1,2] + [5,4] , A=[2] , C=0 , 2+4+0=6 , A->6 , C->0
[1] + [5] , A=[6,2] , C=0 , 1+5+0=6 , A->6 , C->0
[] + [] , A=[6,6,2] C=0 , END
</scratch>
662
| 662 |
Input:
865+165
Target:
| Input:
865+165
Target:
<scratch>
[8,6,5] has 3 digits.
[1,6,5] has 3 digits.
[8,6,5] + [1,6,5] , A=[] , C=0 , 5+5+0=10 , A->0 , C->1
[8,6] + [1,6] , A=[0] , C=1 , 6+6+1=13 , A->3 , C->1
[8] + [1] , A=[3,0] , C=1 , 8+1+1=10 , A->0 , C->1
[] + [] , A=[0,3,0] C=1 , END
</scratch>
1030
| 1030 |
Input:
43+241
Target:
| Input:
43+241
Target:
<scratch>
[4,3] has 2 digits.
[2,4,1] has 3 digits.
[4,3] + [2,4,1] , A=[] , C=0 , 3+1+0=4 , A->4 , C->0
[4] + [2,4] , A=[4] , C=0 , 4+4+0=8 , A->8 , C->0
[] + [2] , A=[8,4] , C=0 , 0+2+0=2 , A->2 , C->0
[] + [] , A=[2,8,4] C=0 , END
</scratch>
284
| 284 |
Input:
779+347
Target:
| Input:
779+347
Target:
<scratch>
[7,7,9] has 3 digits.
[3,4,7] has 3 digits.
[7,7,9] + [3,4,7] , A=[] , C=0 , 9+7+0=16 , A->6 , C->1
[7,7] + [3,4] , A=[6] , C=1 , 7+4+1=12 , A->2 , C->1
[7] + [3] , A=[2,6] , C=1 , 7+3+1=11 , A->1 , C->1
[] + [] , A=[1,2,6] C=1 , END
</scratch>
1126
| 1126 |
Input:
501+14
Target:
| Input:
501+14
Target:
<scratch>
[5,0,1] has 3 digits.
[1,4] has 2 digits.
[5,0,1] + [1,4] , A=[] , C=0 , 1+4+0=5 , A->5 , C->0
[5,0] + [1] , A=[5] , C=0 , 0+1+0=1 , A->1 , C->0
[5] + [] , A=[1,5] , C=0 , 5+0+0=5 , A->5 , C->0
[] + [] , A=[5,1,5] C=0 , END
</scratch>
515
| 515 |
Input:
310+507
Target:
| Input:
310+507
Target:
<scratch>
[3,1,0] has 3 digits.
[5,0,7] has 3 digits.
[3,1,0] + [5,0,7] , A=[] , C=0 , 0+7+0=7 , A->7 , C->0
[3,1] + [5,0] , A=[7] , C=0 , 1+0+0=1 , A->1 , C->0
[3] + [5] , A=[1,7] , C=0 , 3+5+0=8 , A->8 , C->0
[] + [] , A=[8,1,7] C=0 , END
</scratch>
817
| 817 |
Input:
684+111
Target:
| Input:
684+111
Target:
<scratch>
[6,8,4] has 3 digits.
[1,1,1] has 3 digits.
[6,8,4] + [1,1,1] , A=[] , C=0 , 4+1+0=5 , A->5 , C->0
[6,8] + [1,1] , A=[5] , C=0 , 8+1+0=9 , A->9 , C->0
[6] + [1] , A=[9,5] , C=0 , 6+1+0=7 , A->7 , C->0
[] + [] , A=[7,9,5] C=0 , END
</scratch>
795
| 795 |
Input:
874+886
Target:
| Input:
874+886
Target:
<scratch>
[8,7,4] has 3 digits.
[8,8,6] has 3 digits.
[8,7,4] + [8,8,6] , A=[] , C=0 , 4+6+0=10 , A->0 , C->1
[8,7] + [8,8] , A=[0] , C=1 , 7+8+1=16 , A->6 , C->1
[8] + [8] , A=[6,0] , C=1 , 8+8+1=17 , A->7 , C->1
[] + [] , A=[7,6,0] C=1 , END
</scratch>
1760
| 1760 |
Input:
114+888
Target:
| Input:
114+888
Target:
<scratch>
[1,1,4] has 3 digits.
[8,8,8] has 3 digits.
[1,1,4] + [8,8,8] , A=[] , C=0 , 4+8+0=12 , A->2 , C->1
[1,1] + [8,8] , A=[2] , C=1 , 1+8+1=10 , A->0 , C->1
[1] + [8] , A=[0,2] , C=1 , 1+8+1=10 , A->0 , C->1
[] + [] , A=[0,0,2] C=1 , END
</scratch>
1002
| 1002 |
Input:
789+346
Target:
| Input:
789+346
Target:
<scratch>
[7,8,9] has 3 digits.
[3,4,6] has 3 digits.
[7,8,9] + [3,4,6] , A=[] , C=0 , 9+6+0=15 , A->5 , C->1
[7,8] + [3,4] , A=[5] , C=1 , 8+4+1=13 , A->3 , C->1
[7] + [3] , A=[3,5] , C=1 , 7+3+1=11 , A->1 , C->1
[] + [] , A=[1,3,5] C=1 , END
</scratch>
1135
| 1135 |
Input:
132+761
Target:
| Input:
132+761
Target:
<scratch>
[1,3,2] has 3 digits.
[7,6,1] has 3 digits.
[1,3,2] + [7,6,1] , A=[] , C=0 , 2+1+0=3 , A->3 , C->0
[1,3] + [7,6] , A=[3] , C=0 , 3+6+0=9 , A->9 , C->0
[1] + [7] , A=[9,3] , C=0 , 1+7+0=8 , A->8 , C->0
[] + [] , A=[8,9,3] C=0 , END
</scratch>
893
| 893 |
Input:
799+834
Target:
| Input:
799+834
Target:
<scratch>
[7,9,9] has 3 digits.
[8,3,4] has 3 digits.
[7,9,9] + [8,3,4] , A=[] , C=0 , 9+4+0=13 , A->3 , C->1
[7,9] + [8,3] , A=[3] , C=1 , 9+3+1=13 , A->3 , C->1
[7] + [8] , A=[3,3] , C=1 , 7+8+1=16 , A->6 , C->1
[] + [] , A=[6,3,3] C=1 , END
</scratch>
1633
| 1633 |
Input:
817+998
Target:
| Input:
817+998
Target:
<scratch>
[8,1,7] has 3 digits.
[9,9,8] has 3 digits.
[8,1,7] + [9,9,8] , A=[] , C=0 , 7+8+0=15 , A->5 , C->1
[8,1] + [9,9] , A=[5] , C=1 , 1+9+1=11 , A->1 , C->1
[8] + [9] , A=[1,5] , C=1 , 8+9+1=18 , A->8 , C->1
[] + [] , A=[8,1,5] C=1 , END
</scratch>
1815
| 1815 |
Input:
198+926
Target:
| Input:
198+926
Target:
<scratch>
[1,9,8] has 3 digits.
[9,2,6] has 3 digits.
[1,9,8] + [9,2,6] , A=[] , C=0 , 8+6+0=14 , A->4 , C->1
[1,9] + [9,2] , A=[4] , C=1 , 9+2+1=12 , A->2 , C->1
[1] + [9] , A=[2,4] , C=1 , 1+9+1=11 , A->1 , C->1
[] + [] , A=[1,2,4] C=1 , END
</scratch>
1124
| 1124 |
Input:
952+689
Target:
| Input:
952+689
Target:
<scratch>
[9,5,2] has 3 digits.
[6,8,9] has 3 digits.
[9,5,2] + [6,8,9] , A=[] , C=0 , 2+9+0=11 , A->1 , C->1
[9,5] + [6,8] , A=[1] , C=1 , 5+8+1=14 , A->4 , C->1
[9] + [6] , A=[4,1] , C=1 , 9+6+1=16 , A->6 , C->1
[] + [] , A=[6,4,1] C=1 , END
</scratch>
1641
| 1641 |
Input:
775+829
Target:
| Input:
775+829
Target:
<scratch>
[7,7,5] has 3 digits.
[8,2,9] has 3 digits.
[7,7,5] + [8,2,9] , A=[] , C=0 , 5+9+0=14 , A->4 , C->1
[7,7] + [8,2] , A=[4] , C=1 , 7+2+1=10 , A->0 , C->1
[7] + [8] , A=[0,4] , C=1 , 7+8+1=16 , A->6 , C->1
[] + [] , A=[6,0,4] C=1 , END
</scratch>
1604
| 1604 |
Input:
203+281
Target:
| Input:
203+281
Target:
<scratch>
[2,0,3] has 3 digits.
[2,8,1] has 3 digits.
[2,0,3] + [2,8,1] , A=[] , C=0 , 3+1+0=4 , A->4 , C->0
[2,0] + [2,8] , A=[4] , C=0 , 0+8+0=8 , A->8 , C->0
[2] + [2] , A=[8,4] , C=0 , 2+2+0=4 , A->4 , C->0
[] + [] , A=[4,8,4] C=0 , END
</scratch>
484
| 484 |
Input:
646+252
Target:
| Input:
646+252
Target:
<scratch>
[6,4,6] has 3 digits.
[2,5,2] has 3 digits.
[6,4,6] + [2,5,2] , A=[] , C=0 , 6+2+0=8 , A->8 , C->0
[6,4] + [2,5] , A=[8] , C=0 , 4+5+0=9 , A->9 , C->0
[6] + [2] , A=[9,8] , C=0 , 6+2+0=8 , A->8 , C->0
[] + [] , A=[8,9,8] C=0 , END
</scratch>
898
| 898 |
Input:
832+160
Target:
| Input:
832+160
Target:
<scratch>
[8,3,2] has 3 digits.
[1,6,0] has 3 digits.
[8,3,2] + [1,6,0] , A=[] , C=0 , 2+0+0=2 , A->2 , C->0
[8,3] + [1,6] , A=[2] , C=0 , 3+6+0=9 , A->9 , C->0
[8] + [1] , A=[9,2] , C=0 , 8+1+0=9 , A->9 , C->0
[] + [] , A=[9,9,2] C=0 , END
</scratch>
992
| 992 |
Input:
415+182
Target:
| Input:
415+182
Target:
<scratch>
[4,1,5] has 3 digits.
[1,8,2] has 3 digits.
[4,1,5] + [1,8,2] , A=[] , C=0 , 5+2+0=7 , A->7 , C->0
[4,1] + [1,8] , A=[7] , C=0 , 1+8+0=9 , A->9 , C->0
[4] + [1] , A=[9,7] , C=0 , 4+1+0=5 , A->5 , C->0
[] + [] , A=[5,9,7] C=0 , END
</scratch>
597
| 597 |
Input:
195+877
Target:
| Input:
195+877
Target:
<scratch>
[1,9,5] has 3 digits.
[8,7,7] has 3 digits.
[1,9,5] + [8,7,7] , A=[] , C=0 , 5+7+0=12 , A->2 , C->1
[1,9] + [8,7] , A=[2] , C=1 , 9+7+1=17 , A->7 , C->1
[1] + [8] , A=[7,2] , C=1 , 1+8+1=10 , A->0 , C->1
[] + [] , A=[0,7,2] C=1 , END
</scratch>
1072
| 1072 |
Input:
798+984
Target:
| Input:
798+984
Target:
<scratch>
[7,9,8] has 3 digits.
[9,8,4] has 3 digits.
[7,9,8] + [9,8,4] , A=[] , C=0 , 8+4+0=12 , A->2 , C->1
[7,9] + [9,8] , A=[2] , C=1 , 9+8+1=18 , A->8 , C->1
[7] + [9] , A=[8,2] , C=1 , 7+9+1=17 , A->7 , C->1
[] + [] , A=[7,8,2] C=1 , END
</scratch>
1782
| 1782 |
Input:
574+766
Target:
| Input:
574+766
Target:
<scratch>
[5,7,4] has 3 digits.
[7,6,6] has 3 digits.
[5,7,4] + [7,6,6] , A=[] , C=0 , 4+6+0=10 , A->0 , C->1
[5,7] + [7,6] , A=[0] , C=1 , 7+6+1=14 , A->4 , C->1
[5] + [7] , A=[4,0] , C=1 , 5+7+1=13 , A->3 , C->1
[] + [] , A=[3,4,0] C=1 , END
</scratch>
1340
| 1340 |
Input:
959+771
Target:
| Input:
959+771
Target:
<scratch>
[9,5,9] has 3 digits.
[7,7,1] has 3 digits.
[9,5,9] + [7,7,1] , A=[] , C=0 , 9+1+0=10 , A->0 , C->1
[9,5] + [7,7] , A=[0] , C=1 , 5+7+1=13 , A->3 , C->1
[9] + [7] , A=[3,0] , C=1 , 9+7+1=17 , A->7 , C->1
[] + [] , A=[7,3,0] C=1 , END
</scratch>
1730
| 1730 |
Input:
988+419
Target:
| Input:
988+419
Target:
<scratch>
[9,8,8] has 3 digits.
[4,1,9] has 3 digits.
[9,8,8] + [4,1,9] , A=[] , C=0 , 8+9+0=17 , A->7 , C->1
[9,8] + [4,1] , A=[7] , C=1 , 8+1+1=10 , A->0 , C->1
[9] + [4] , A=[0,7] , C=1 , 9+4+1=14 , A->4 , C->1
[] + [] , A=[4,0,7] C=1 , END
</scratch>
1407
| 1407 |
Input:
51+730
Target:
| Input:
51+730
Target:
<scratch>
[5,1] has 2 digits.
[7,3,0] has 3 digits.
[5,1] + [7,3,0] , A=[] , C=0 , 1+0+0=1 , A->1 , C->0
[5] + [7,3] , A=[1] , C=0 , 5+3+0=8 , A->8 , C->0
[] + [7] , A=[8,1] , C=0 , 0+7+0=7 , A->7 , C->0
[] + [] , A=[7,8,1] C=0 , END
</scratch>
781
| 781 |
Input:
125+314
Target:
| Input:
125+314
Target:
<scratch>
[1,2,5] has 3 digits.
[3,1,4] has 3 digits.
[1,2,5] + [3,1,4] , A=[] , C=0 , 5+4+0=9 , A->9 , C->0
[1,2] + [3,1] , A=[9] , C=0 , 2+1+0=3 , A->3 , C->0
[1] + [3] , A=[3,9] , C=0 , 1+3+0=4 , A->4 , C->0
[] + [] , A=[4,3,9] C=0 , END
</scratch>
439
| 439 |
Input:
73+916
Target:
| Input:
73+916
Target:
<scratch>
[7,3] has 2 digits.
[9,1,6] has 3 digits.
[7,3] + [9,1,6] , A=[] , C=0 , 3+6+0=9 , A->9 , C->0
[7] + [9,1] , A=[9] , C=0 , 7+1+0=8 , A->8 , C->0
[] + [9] , A=[8,9] , C=0 , 0+9+0=9 , A->9 , C->0
[] + [] , A=[9,8,9] C=0 , END
</scratch>
989
| 989 |
Input:
836+684
Target:
| Input:
836+684
Target:
<scratch>
[8,3,6] has 3 digits.
[6,8,4] has 3 digits.
[8,3,6] + [6,8,4] , A=[] , C=0 , 6+4+0=10 , A->0 , C->1
[8,3] + [6,8] , A=[0] , C=1 , 3+8+1=12 , A->2 , C->1
[8] + [6] , A=[2,0] , C=1 , 8+6+1=15 , A->5 , C->1
[] + [] , A=[5,2,0] C=1 , END
</scratch>
1520
| 1520 |
Input:
430+54
Target:
| Input:
430+54
Target:
<scratch>
[4,3,0] has 3 digits.
[5,4] has 2 digits.
[4,3,0] + [5,4] , A=[] , C=0 , 0+4+0=4 , A->4 , C->0
[4,3] + [5] , A=[4] , C=0 , 3+5+0=8 , A->8 , C->0
[4] + [] , A=[8,4] , C=0 , 4+0+0=4 , A->4 , C->0
[] + [] , A=[4,8,4] C=0 , END
</scratch>
484
| 484 |
Input:
356+432
Target:
| Input:
356+432
Target:
<scratch>
[3,5,6] has 3 digits.
[4,3,2] has 3 digits.
[3,5,6] + [4,3,2] , A=[] , C=0 , 6+2+0=8 , A->8 , C->0
[3,5] + [4,3] , A=[8] , C=0 , 5+3+0=8 , A->8 , C->0
[3] + [4] , A=[8,8] , C=0 , 3+4+0=7 , A->7 , C->0
[] + [] , A=[7,8,8] C=0 , END
</scratch>
788
| 788 |
Input:
639+896
Target:
| Input:
639+896
Target:
<scratch>
[6,3,9] has 3 digits.
[8,9,6] has 3 digits.
[6,3,9] + [8,9,6] , A=[] , C=0 , 9+6+0=15 , A->5 , C->1
[6,3] + [8,9] , A=[5] , C=1 , 3+9+1=13 , A->3 , C->1
[6] + [8] , A=[3,5] , C=1 , 6+8+1=15 , A->5 , C->1
[] + [] , A=[5,3,5] C=1 , END
</scratch>
1535
| 1535 |
Input:
215+710
Target:
| Input:
215+710
Target:
<scratch>
[2,1,5] has 3 digits.
[7,1,0] has 3 digits.
[2,1,5] + [7,1,0] , A=[] , C=0 , 5+0+0=5 , A->5 , C->0
[2,1] + [7,1] , A=[5] , C=0 , 1+1+0=2 , A->2 , C->0
[2] + [7] , A=[2,5] , C=0 , 2+7+0=9 , A->9 , C->0
[] + [] , A=[9,2,5] C=0 , END
</scratch>
925
| 925 |
Input:
560+428
Target:
| Input:
560+428
Target:
<scratch>
[5,6,0] has 3 digits.
[4,2,8] has 3 digits.
[5,6,0] + [4,2,8] , A=[] , C=0 , 0+8+0=8 , A->8 , C->0
[5,6] + [4,2] , A=[8] , C=0 , 6+2+0=8 , A->8 , C->0
[5] + [4] , A=[8,8] , C=0 , 5+4+0=9 , A->9 , C->0
[] + [] , A=[9,8,8] C=0 , END
</scratch>
988
| 988 |
Input:
964+368
Target:
| Input:
964+368
Target:
<scratch>
[9,6,4] has 3 digits.
[3,6,8] has 3 digits.
[9,6,4] + [3,6,8] , A=[] , C=0 , 4+8+0=12 , A->2 , C->1
[9,6] + [3,6] , A=[2] , C=1 , 6+6+1=13 , A->3 , C->1
[9] + [3] , A=[3,2] , C=1 , 9+3+1=13 , A->3 , C->1
[] + [] , A=[3,3,2] C=1 , END
</scratch>
1332
| 1332 |
Input:
976+274
Target:
| Input:
976+274
Target:
<scratch>
[9,7,6] has 3 digits.
[2,7,4] has 3 digits.
[9,7,6] + [2,7,4] , A=[] , C=0 , 6+4+0=10 , A->0 , C->1
[9,7] + [2,7] , A=[0] , C=1 , 7+7+1=15 , A->5 , C->1
[9] + [2] , A=[5,0] , C=1 , 9+2+1=12 , A->2 , C->1
[] + [] , A=[2,5,0] C=1 , END
</scratch>
1250
| 1250 |
Input:
621+341
Target:
| Input:
621+341
Target:
<scratch>
[6,2,1] has 3 digits.
[3,4,1] has 3 digits.
[6,2,1] + [3,4,1] , A=[] , C=0 , 1+1+0=2 , A->2 , C->0
[6,2] + [3,4] , A=[2] , C=0 , 2+4+0=6 , A->6 , C->0
[6] + [3] , A=[6,2] , C=0 , 6+3+0=9 , A->9 , C->0
[] + [] , A=[9,6,2] C=0 , END
</scratch>
962
| 962 |
Input:
853+497
Target:
| Input:
853+497
Target:
<scratch>
[8,5,3] has 3 digits.
[4,9,7] has 3 digits.
[8,5,3] + [4,9,7] , A=[] , C=0 , 3+7+0=10 , A->0 , C->1
[8,5] + [4,9] , A=[0] , C=1 , 5+9+1=15 , A->5 , C->1
[8] + [4] , A=[5,0] , C=1 , 8+4+1=13 , A->3 , C->1
[] + [] , A=[3,5,0] C=1 , END
</scratch>
1350
| 1350 |
Input:
211+60
Target:
| Input:
211+60
Target:
<scratch>
[2,1,1] has 3 digits.
[6,0] has 2 digits.
[2,1,1] + [6,0] , A=[] , C=0 , 1+0+0=1 , A->1 , C->0
[2,1] + [6] , A=[1] , C=0 , 1+6+0=7 , A->7 , C->0
[2] + [] , A=[7,1] , C=0 , 2+0+0=2 , A->2 , C->0
[] + [] , A=[2,7,1] C=0 , END
</scratch>
271
| 271 |
Input:
465+857
Target:
| Input:
465+857
Target:
<scratch>
[4,6,5] has 3 digits.
[8,5,7] has 3 digits.
[4,6,5] + [8,5,7] , A=[] , C=0 , 5+7+0=12 , A->2 , C->1
[4,6] + [8,5] , A=[2] , C=1 , 6+5+1=12 , A->2 , C->1
[4] + [8] , A=[2,2] , C=1 , 4+8+1=13 , A->3 , C->1
[] + [] , A=[3,2,2] C=1 , END
</scratch>
1322
| 1322 |
Input:
493+587
Target:
| Input:
493+587
Target:
<scratch>
[4,9,3] has 3 digits.
[5,8,7] has 3 digits.
[4,9,3] + [5,8,7] , A=[] , C=0 , 3+7+0=10 , A->0 , C->1
[4,9] + [5,8] , A=[0] , C=1 , 9+8+1=18 , A->8 , C->1
[4] + [5] , A=[8,0] , C=1 , 4+5+1=10 , A->0 , C->1
[] + [] , A=[0,8,0] C=1 , END
</scratch>
1080
| 1080 |
Input:
42+922
Target:
| Input:
42+922
Target:
<scratch>
[4,2] has 2 digits.
[9,2,2] has 3 digits.
[4,2] + [9,2,2] , A=[] , C=0 , 2+2+0=4 , A->4 , C->0
[4] + [9,2] , A=[4] , C=0 , 4+2+0=6 , A->6 , C->0
[] + [9] , A=[6,4] , C=0 , 0+9+0=9 , A->9 , C->0
[] + [] , A=[9,6,4] C=0 , END
</scratch>
964
| 964 |
Input:
603+332
Target:
| Input:
603+332
Target:
<scratch>
[6,0,3] has 3 digits.
[3,3,2] has 3 digits.
[6,0,3] + [3,3,2] , A=[] , C=0 , 3+2+0=5 , A->5 , C->0
[6,0] + [3,3] , A=[5] , C=0 , 0+3+0=3 , A->3 , C->0
[6] + [3] , A=[3,5] , C=0 , 6+3+0=9 , A->9 , C->0
[] + [] , A=[9,3,5] C=0 , END
</scratch>
935
| 935 |
Input:
579+529
Target:
| Input:
579+529
Target:
<scratch>
[5,7,9] has 3 digits.
[5,2,9] has 3 digits.
[5,7,9] + [5,2,9] , A=[] , C=0 , 9+9+0=18 , A->8 , C->1
[5,7] + [5,2] , A=[8] , C=1 , 7+2+1=10 , A->0 , C->1
[5] + [5] , A=[0,8] , C=1 , 5+5+1=11 , A->1 , C->1
[] + [] , A=[1,0,8] C=1 , END
</scratch>
1108
| 1108 |
Input:
2+391
Target:
| Input:
2+391
Target:
<scratch>
[2] has 1 digits.
[3,9,1] has 3 digits.
[2] + [3,9,1] , A=[] , C=0 , 2+1+0=3 , A->3 , C->0
[] + [3,9] , A=[3] , C=0 , 0+9+0=9 , A->9 , C->0
[] + [3] , A=[9,3] , C=0 , 0+3+0=3 , A->3 , C->0
[] + [] , A=[3,9,3] C=0 , END
</scratch>
393
| 393 |
Input:
596+848
Target:
| Input:
596+848
Target:
<scratch>
[5,9,6] has 3 digits.
[8,4,8] has 3 digits.
[5,9,6] + [8,4,8] , A=[] , C=0 , 6+8+0=14 , A->4 , C->1
[5,9] + [8,4] , A=[4] , C=1 , 9+4+1=14 , A->4 , C->1
[5] + [8] , A=[4,4] , C=1 , 5+8+1=14 , A->4 , C->1
[] + [] , A=[4,4,4] C=1 , END
</scratch>
1444
| 1444 |
Input:
886+716
Target:
| Input:
886+716
Target:
<scratch>
[8,8,6] has 3 digits.
[7,1,6] has 3 digits.
[8,8,6] + [7,1,6] , A=[] , C=0 , 6+6+0=12 , A->2 , C->1
[8,8] + [7,1] , A=[2] , C=1 , 8+1+1=10 , A->0 , C->1
[8] + [7] , A=[0,2] , C=1 , 8+7+1=16 , A->6 , C->1
[] + [] , A=[6,0,2] C=1 , END
</scratch>
1602
| 1602 |
Input:
376+520
Target:
| Input:
376+520
Target:
<scratch>
[3,7,6] has 3 digits.
[5,2,0] has 3 digits.
[3,7,6] + [5,2,0] , A=[] , C=0 , 6+0+0=6 , A->6 , C->0
[3,7] + [5,2] , A=[6] , C=0 , 7+2+0=9 , A->9 , C->0
[3] + [5] , A=[9,6] , C=0 , 3+5+0=8 , A->8 , C->0
[] + [] , A=[8,9,6] C=0 , END
</scratch>
896
| 896 |
Input:
741+152
Target:
| Input:
741+152
Target:
<scratch>
[7,4,1] has 3 digits.
[1,5,2] has 3 digits.
[7,4,1] + [1,5,2] , A=[] , C=0 , 1+2+0=3 , A->3 , C->0
[7,4] + [1,5] , A=[3] , C=0 , 4+5+0=9 , A->9 , C->0
[7] + [1] , A=[9,3] , C=0 , 7+1+0=8 , A->8 , C->0
[] + [] , A=[8,9,3] C=0 , END
</scratch>
893
| 893 |
Input:
203+766
Target:
| Input:
203+766
Target:
<scratch>
[2,0,3] has 3 digits.
[7,6,6] has 3 digits.
[2,0,3] + [7,6,6] , A=[] , C=0 , 3+6+0=9 , A->9 , C->0
[2,0] + [7,6] , A=[9] , C=0 , 0+6+0=6 , A->6 , C->0
[2] + [7] , A=[6,9] , C=0 , 2+7+0=9 , A->9 , C->0
[] + [] , A=[9,6,9] C=0 , END
</scratch>
969
| 969 |
Input:
400+230
Target:
| Input:
400+230
Target:
<scratch>
[4,0,0] has 3 digits.
[2,3,0] has 3 digits.
[4,0,0] + [2,3,0] , A=[] , C=0 , 0+0+0=0 , A->0 , C->0
[4,0] + [2,3] , A=[0] , C=0 , 0+3+0=3 , A->3 , C->0
[4] + [2] , A=[3,0] , C=0 , 4+2+0=6 , A->6 , C->0
[] + [] , A=[6,3,0] C=0 , END
</scratch>
630
| 630 |
Input:
396+745
Target:
| Input:
396+745
Target:
<scratch>
[3,9,6] has 3 digits.
[7,4,5] has 3 digits.
[3,9,6] + [7,4,5] , A=[] , C=0 , 6+5+0=11 , A->1 , C->1
[3,9] + [7,4] , A=[1] , C=1 , 9+4+1=14 , A->4 , C->1
[3] + [7] , A=[4,1] , C=1 , 3+7+1=11 , A->1 , C->1
[] + [] , A=[1,4,1] C=1 , END
</scratch>
1141
| 1141 |
Input:
813+142
Target:
| Input:
813+142
Target:
<scratch>
[8,1,3] has 3 digits.
[1,4,2] has 3 digits.
[8,1,3] + [1,4,2] , A=[] , C=0 , 3+2+0=5 , A->5 , C->0
[8,1] + [1,4] , A=[5] , C=0 , 1+4+0=5 , A->5 , C->0
[8] + [1] , A=[5,5] , C=0 , 8+1+0=9 , A->9 , C->0
[] + [] , A=[9,5,5] C=0 , END
</scratch>
955
| 955 |
Input:
777+584
Target:
| Input:
777+584
Target:
<scratch>
[7,7,7] has 3 digits.
[5,8,4] has 3 digits.
[7,7,7] + [5,8,4] , A=[] , C=0 , 7+4+0=11 , A->1 , C->1
[7,7] + [5,8] , A=[1] , C=1 , 7+8+1=16 , A->6 , C->1
[7] + [5] , A=[6,1] , C=1 , 7+5+1=13 , A->3 , C->1
[] + [] , A=[3,6,1] C=1 , END
</scratch>
1361
| 1361 |
Input:
100+353
Target:
| Input:
100+353
Target:
<scratch>
[1,0,0] has 3 digits.
[3,5,3] has 3 digits.
[1,0,0] + [3,5,3] , A=[] , C=0 , 0+3+0=3 , A->3 , C->0
[1,0] + [3,5] , A=[3] , C=0 , 0+5+0=5 , A->5 , C->0
[1] + [3] , A=[5,3] , C=0 , 1+3+0=4 , A->4 , C->0
[] + [] , A=[4,5,3] C=0 , END
</scratch>
453
| 453 |
Input:
978+652
Target:
| Input:
978+652
Target:
<scratch>
[9,7,8] has 3 digits.
[6,5,2] has 3 digits.
[9,7,8] + [6,5,2] , A=[] , C=0 , 8+2+0=10 , A->0 , C->1
[9,7] + [6,5] , A=[0] , C=1 , 7+5+1=13 , A->3 , C->1
[9] + [6] , A=[3,0] , C=1 , 9+6+1=16 , A->6 , C->1
[] + [] , A=[6,3,0] C=1 , END
</scratch>
1630
| 1630 |
Input:
797+856
Target:
| Input:
797+856
Target:
<scratch>
[7,9,7] has 3 digits.
[8,5,6] has 3 digits.
[7,9,7] + [8,5,6] , A=[] , C=0 , 7+6+0=13 , A->3 , C->1
[7,9] + [8,5] , A=[3] , C=1 , 9+5+1=15 , A->5 , C->1
[7] + [8] , A=[5,3] , C=1 , 7+8+1=16 , A->6 , C->1
[] + [] , A=[6,5,3] C=1 , END
</scratch>
1653
| 1653 |
Input:
605+342
Target:
| Input:
605+342
Target:
<scratch>
[6,0,5] has 3 digits.
[3,4,2] has 3 digits.
[6,0,5] + [3,4,2] , A=[] , C=0 , 5+2+0=7 , A->7 , C->0
[6,0] + [3,4] , A=[7] , C=0 , 0+4+0=4 , A->4 , C->0
[6] + [3] , A=[4,7] , C=0 , 6+3+0=9 , A->9 , C->0
[] + [] , A=[9,4,7] C=0 , END
</scratch>
947
| 947 |
Input:
601+67
Target:
| Input:
601+67
Target:
<scratch>
[6,0,1] has 3 digits.
[6,7] has 2 digits.
[6,0,1] + [6,7] , A=[] , C=0 , 1+7+0=8 , A->8 , C->0
[6,0] + [6] , A=[8] , C=0 , 0+6+0=6 , A->6 , C->0
[6] + [] , A=[6,8] , C=0 , 6+0+0=6 , A->6 , C->0
[] + [] , A=[6,6,8] C=0 , END
</scratch>
668
| 668 |
Input:
327+979
Target:
| Input:
327+979
Target:
<scratch>
[3,2,7] has 3 digits.
[9,7,9] has 3 digits.
[3,2,7] + [9,7,9] , A=[] , C=0 , 7+9+0=16 , A->6 , C->1
[3,2] + [9,7] , A=[6] , C=1 , 2+7+1=10 , A->0 , C->1
[3] + [9] , A=[0,6] , C=1 , 3+9+1=13 , A->3 , C->1
[] + [] , A=[3,0,6] C=1 , END
</scratch>
1306
| 1306 |
Input:
470+525
Target:
| Input:
470+525
Target:
<scratch>
[4,7,0] has 3 digits.
[5,2,5] has 3 digits.
[4,7,0] + [5,2,5] , A=[] , C=0 , 0+5+0=5 , A->5 , C->0
[4,7] + [5,2] , A=[5] , C=0 , 7+2+0=9 , A->9 , C->0
[4] + [5] , A=[9,5] , C=0 , 4+5+0=9 , A->9 , C->0
[] + [] , A=[9,9,5] C=0 , END
</scratch>
995
| 995 |
Input:
998+687
Target:
| Input:
998+687
Target:
<scratch>
[9,9,8] has 3 digits.
[6,8,7] has 3 digits.
[9,9,8] + [6,8,7] , A=[] , C=0 , 8+7+0=15 , A->5 , C->1
[9,9] + [6,8] , A=[5] , C=1 , 9+8+1=18 , A->8 , C->1
[9] + [6] , A=[8,5] , C=1 , 9+6+1=16 , A->6 , C->1
[] + [] , A=[6,8,5] C=1 , END
</scratch>
1685
| 1685 |
Input:
927+193
Target:
| Input:
927+193
Target:
<scratch>
[9,2,7] has 3 digits.
[1,9,3] has 3 digits.
[9,2,7] + [1,9,3] , A=[] , C=0 , 7+3+0=10 , A->0 , C->1
[9,2] + [1,9] , A=[0] , C=1 , 2+9+1=12 , A->2 , C->1
[9] + [1] , A=[2,0] , C=1 , 9+1+1=11 , A->1 , C->1
[] + [] , A=[1,2,0] C=1 , END
</scratch>
1120
| 1120 |
Input:
269+120
Target:
| Input:
269+120
Target:
<scratch>
[2,6,9] has 3 digits.
[1,2,0] has 3 digits.
[2,6,9] + [1,2,0] , A=[] , C=0 , 9+0+0=9 , A->9 , C->0
[2,6] + [1,2] , A=[9] , C=0 , 6+2+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:
153+46
Target:
| Input:
153+46
Target:
<scratch>
[1,5,3] has 3 digits.
[4,6] has 2 digits.
[1,5,3] + [4,6] , A=[] , C=0 , 3+6+0=9 , A->9 , C->0
[1,5] + [4] , A=[9] , C=0 , 5+4+0=9 , A->9 , C->0
[1] + [] , A=[9,9] , C=0 , 1+0+0=1 , A->1 , C->0
[] + [] , A=[1,9,9] C=0 , END
</scratch>
199
| 199 |
Input:
144+412
Target:
| Input:
144+412
Target:
<scratch>
[1,4,4] has 3 digits.
[4,1,2] has 3 digits.
[1,4,4] + [4,1,2] , A=[] , C=0 , 4+2+0=6 , A->6 , C->0
[1,4] + [4,1] , A=[6] , C=0 , 4+1+0=5 , A->5 , C->0
[1] + [4] , A=[5,6] , C=0 , 1+4+0=5 , A->5 , C->0
[] + [] , A=[5,5,6] C=0 , END
</scratch>
556
| 556 |
Input:
946+857
Target:
| Input:
946+857
Target:
<scratch>
[9,4,6] has 3 digits.
[8,5,7] has 3 digits.
[9,4,6] + [8,5,7] , A=[] , C=0 , 6+7+0=13 , A->3 , C->1
[9,4] + [8,5] , A=[3] , C=1 , 4+5+1=10 , A->0 , C->1
[9] + [8] , A=[0,3] , C=1 , 9+8+1=18 , A->8 , C->1
[] + [] , A=[8,0,3] C=1 , END
</scratch>
1803
| 1803 |
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