input_test
stringlengths 19
23
| scratchpad
stringlengths 151
283
| result_final
stringlengths 1
4
|
---|---|---|
Input:
42+817
Target:
| Input:
42+817
Target:
<scratch>
[4,2] has 2 digits.
[8,1,7] has 3 digits.
[4,2] + [8,1,7] , A=[] , C=0 , 2+7+0=9 , A->9 , C->0
[4] + [8,1] , A=[9] , C=0 , 4+1+0=5 , A->5 , C->0
[] + [8] , A=[5,9] , C=0 , 0+8+0=8 , A->8 , C->0
[] + [] , A=[8,5,9] C=0 , END
</scratch>
859
| 859 |
Input:
139+286
Target:
| Input:
139+286
Target:
<scratch>
[1,3,9] has 3 digits.
[2,8,6] has 3 digits.
[1,3,9] + [2,8,6] , A=[] , C=0 , 9+6+0=15 , A->5 , C->1
[1,3] + [2,8] , A=[5] , C=1 , 3+8+1=12 , A->2 , C->1
[1] + [2] , A=[2,5] , C=1 , 1+2+1=4 , A->4 , C->0
[] + [] , A=[4,2,5] C=0 , END
</scratch>
425
| 425 |
Input:
185+216
Target:
| Input:
185+216
Target:
<scratch>
[1,8,5] has 3 digits.
[2,1,6] has 3 digits.
[1,8,5] + [2,1,6] , A=[] , C=0 , 5+6+0=11 , A->1 , C->1
[1,8] + [2,1] , A=[1] , C=1 , 8+1+1=10 , A->0 , C->1
[1] + [2] , A=[0,1] , C=1 , 1+2+1=4 , A->4 , C->0
[] + [] , A=[4,0,1] C=0 , END
</scratch>
401
| 401 |
Input:
537+20
Target:
| Input:
537+20
Target:
<scratch>
[5,3,7] has 3 digits.
[2,0] has 2 digits.
[5,3,7] + [2,0] , A=[] , C=0 , 7+0+0=7 , A->7 , C->0
[5,3] + [2] , A=[7] , C=0 , 3+2+0=5 , A->5 , C->0
[5] + [] , A=[5,7] , C=0 , 5+0+0=5 , A->5 , C->0
[] + [] , A=[5,5,7] C=0 , END
</scratch>
557
| 557 |
Input:
810+997
Target:
| Input:
810+997
Target:
<scratch>
[8,1,0] has 3 digits.
[9,9,7] has 3 digits.
[8,1,0] + [9,9,7] , A=[] , C=0 , 0+7+0=7 , A->7 , C->0
[8,1] + [9,9] , A=[7] , C=0 , 1+9+0=10 , A->0 , C->1
[8] + [9] , A=[0,7] , C=1 , 8+9+1=18 , A->8 , C->1
[] + [] , A=[8,0,7] C=1 , END
</scratch>
1807
| 1807 |
Input:
183+311
Target:
| Input:
183+311
Target:
<scratch>
[1,8,3] has 3 digits.
[3,1,1] has 3 digits.
[1,8,3] + [3,1,1] , A=[] , C=0 , 3+1+0=4 , A->4 , C->0
[1,8] + [3,1] , A=[4] , C=0 , 8+1+0=9 , A->9 , C->0
[1] + [3] , A=[9,4] , C=0 , 1+3+0=4 , A->4 , C->0
[] + [] , A=[4,9,4] C=0 , END
</scratch>
494
| 494 |
Input:
977+764
Target:
| Input:
977+764
Target:
<scratch>
[9,7,7] has 3 digits.
[7,6,4] has 3 digits.
[9,7,7] + [7,6,4] , A=[] , C=0 , 7+4+0=11 , A->1 , C->1
[9,7] + [7,6] , A=[1] , C=1 , 7+6+1=14 , A->4 , C->1
[9] + [7] , A=[4,1] , C=1 , 9+7+1=17 , A->7 , C->1
[] + [] , A=[7,4,1] C=1 , END
</scratch>
1741
| 1741 |
Input:
613+251
Target:
| Input:
613+251
Target:
<scratch>
[6,1,3] has 3 digits.
[2,5,1] has 3 digits.
[6,1,3] + [2,5,1] , A=[] , C=0 , 3+1+0=4 , A->4 , C->0
[6,1] + [2,5] , A=[4] , C=0 , 1+5+0=6 , A->6 , C->0
[6] + [2] , A=[6,4] , C=0 , 6+2+0=8 , A->8 , C->0
[] + [] , A=[8,6,4] C=0 , END
</scratch>
864
| 864 |
Input:
428+873
Target:
| Input:
428+873
Target:
<scratch>
[4,2,8] has 3 digits.
[8,7,3] has 3 digits.
[4,2,8] + [8,7,3] , A=[] , C=0 , 8+3+0=11 , A->1 , C->1
[4,2] + [8,7] , A=[1] , C=1 , 2+7+1=10 , A->0 , C->1
[4] + [8] , A=[0,1] , C=1 , 4+8+1=13 , A->3 , C->1
[] + [] , A=[3,0,1] C=1 , END
</scratch>
1301
| 1301 |
Input:
306+789
Target:
| Input:
306+789
Target:
<scratch>
[3,0,6] has 3 digits.
[7,8,9] has 3 digits.
[3,0,6] + [7,8,9] , A=[] , C=0 , 6+9+0=15 , A->5 , C->1
[3,0] + [7,8] , A=[5] , C=1 , 0+8+1=9 , A->9 , C->0
[3] + [7] , A=[9,5] , C=0 , 3+7+0=10 , A->0 , C->1
[] + [] , A=[0,9,5] C=1 , END
</scratch>
1095
| 1095 |
Input:
120+575
Target:
| Input:
120+575
Target:
<scratch>
[1,2,0] has 3 digits.
[5,7,5] has 3 digits.
[1,2,0] + [5,7,5] , A=[] , C=0 , 0+5+0=5 , A->5 , C->0
[1,2] + [5,7] , A=[5] , C=0 , 2+7+0=9 , A->9 , C->0
[1] + [5] , A=[9,5] , C=0 , 1+5+0=6 , A->6 , C->0
[] + [] , A=[6,9,5] C=0 , END
</scratch>
695
| 695 |
Input:
834+183
Target:
| Input:
834+183
Target:
<scratch>
[8,3,4] has 3 digits.
[1,8,3] has 3 digits.
[8,3,4] + [1,8,3] , A=[] , C=0 , 4+3+0=7 , A->7 , C->0
[8,3] + [1,8] , A=[7] , C=0 , 3+8+0=11 , A->1 , C->1
[8] + [1] , A=[1,7] , C=1 , 8+1+1=10 , A->0 , C->1
[] + [] , A=[0,1,7] C=1 , END
</scratch>
1017
| 1017 |
Input:
547+589
Target:
| Input:
547+589
Target:
<scratch>
[5,4,7] has 3 digits.
[5,8,9] has 3 digits.
[5,4,7] + [5,8,9] , A=[] , C=0 , 7+9+0=16 , A->6 , C->1
[5,4] + [5,8] , A=[6] , C=1 , 4+8+1=13 , A->3 , C->1
[5] + [5] , A=[3,6] , C=1 , 5+5+1=11 , A->1 , C->1
[] + [] , A=[1,3,6] C=1 , END
</scratch>
1136
| 1136 |
Input:
239+988
Target:
| Input:
239+988
Target:
<scratch>
[2,3,9] has 3 digits.
[9,8,8] has 3 digits.
[2,3,9] + [9,8,8] , A=[] , C=0 , 9+8+0=17 , A->7 , C->1
[2,3] + [9,8] , A=[7] , C=1 , 3+8+1=12 , A->2 , C->1
[2] + [9] , A=[2,7] , C=1 , 2+9+1=12 , A->2 , C->1
[] + [] , A=[2,2,7] C=1 , END
</scratch>
1227
| 1227 |
Input:
532+486
Target:
| Input:
532+486
Target:
<scratch>
[5,3,2] has 3 digits.
[4,8,6] has 3 digits.
[5,3,2] + [4,8,6] , A=[] , C=0 , 2+6+0=8 , A->8 , C->0
[5,3] + [4,8] , A=[8] , C=0 , 3+8+0=11 , A->1 , C->1
[5] + [4] , A=[1,8] , C=1 , 5+4+1=10 , A->0 , C->1
[] + [] , A=[0,1,8] C=1 , END
</scratch>
1018
| 1018 |
Input:
882+294
Target:
| Input:
882+294
Target:
<scratch>
[8,8,2] has 3 digits.
[2,9,4] has 3 digits.
[8,8,2] + [2,9,4] , A=[] , C=0 , 2+4+0=6 , A->6 , C->0
[8,8] + [2,9] , A=[6] , C=0 , 8+9+0=17 , A->7 , C->1
[8] + [2] , A=[7,6] , C=1 , 8+2+1=11 , A->1 , C->1
[] + [] , A=[1,7,6] C=1 , END
</scratch>
1176
| 1176 |
Input:
969+536
Target:
| Input:
969+536
Target:
<scratch>
[9,6,9] has 3 digits.
[5,3,6] has 3 digits.
[9,6,9] + [5,3,6] , A=[] , C=0 , 9+6+0=15 , A->5 , C->1
[9,6] + [5,3] , A=[5] , C=1 , 6+3+1=10 , A->0 , C->1
[9] + [5] , A=[0,5] , C=1 , 9+5+1=15 , A->5 , C->1
[] + [] , A=[5,0,5] C=1 , END
</scratch>
1505
| 1505 |
Input:
229+573
Target:
| Input:
229+573
Target:
<scratch>
[2,2,9] has 3 digits.
[5,7,3] has 3 digits.
[2,2,9] + [5,7,3] , A=[] , C=0 , 9+3+0=12 , A->2 , C->1
[2,2] + [5,7] , A=[2] , C=1 , 2+7+1=10 , A->0 , C->1
[2] + [5] , A=[0,2] , C=1 , 2+5+1=8 , A->8 , C->0
[] + [] , A=[8,0,2] C=0 , END
</scratch>
802
| 802 |
Input:
998+802
Target:
| Input:
998+802
Target:
<scratch>
[9,9,8] has 3 digits.
[8,0,2] has 3 digits.
[9,9,8] + [8,0,2] , A=[] , C=0 , 8+2+0=10 , A->0 , C->1
[9,9] + [8,0] , A=[0] , C=1 , 9+0+1=10 , A->0 , C->1
[9] + [8] , A=[0,0] , C=1 , 9+8+1=18 , A->8 , C->1
[] + [] , A=[8,0,0] C=1 , END
</scratch>
1800
| 1800 |
Input:
538+544
Target:
| Input:
538+544
Target:
<scratch>
[5,3,8] has 3 digits.
[5,4,4] has 3 digits.
[5,3,8] + [5,4,4] , A=[] , C=0 , 8+4+0=12 , A->2 , C->1
[5,3] + [5,4] , A=[2] , C=1 , 3+4+1=8 , A->8 , C->0
[5] + [5] , A=[8,2] , C=0 , 5+5+0=10 , A->0 , C->1
[] + [] , A=[0,8,2] C=1 , END
</scratch>
1082
| 1082 |
Input:
803+62
Target:
| Input:
803+62
Target:
<scratch>
[8,0,3] has 3 digits.
[6,2] has 2 digits.
[8,0,3] + [6,2] , A=[] , C=0 , 3+2+0=5 , A->5 , C->0
[8,0] + [6] , A=[5] , C=0 , 0+6+0=6 , A->6 , C->0
[8] + [] , A=[6,5] , C=0 , 8+0+0=8 , A->8 , C->0
[] + [] , A=[8,6,5] C=0 , END
</scratch>
865
| 865 |
Input:
885+99
Target:
| Input:
885+99
Target:
<scratch>
[8,8,5] has 3 digits.
[9,9] has 2 digits.
[8,8,5] + [9,9] , A=[] , C=0 , 5+9+0=14 , A->4 , C->1
[8,8] + [9] , A=[4] , C=1 , 8+9+1=18 , A->8 , C->1
[8] + [] , A=[8,4] , C=1 , 8+0+1=9 , A->9 , C->0
[] + [] , A=[9,8,4] C=0 , END
</scratch>
984
| 984 |
Input:
895+594
Target:
| Input:
895+594
Target:
<scratch>
[8,9,5] has 3 digits.
[5,9,4] has 3 digits.
[8,9,5] + [5,9,4] , A=[] , C=0 , 5+4+0=9 , A->9 , C->0
[8,9] + [5,9] , A=[9] , C=0 , 9+9+0=18 , A->8 , C->1
[8] + [5] , A=[8,9] , C=1 , 8+5+1=14 , A->4 , C->1
[] + [] , A=[4,8,9] C=1 , END
</scratch>
1489
| 1489 |
Input:
851+38
Target:
| Input:
851+38
Target:
<scratch>
[8,5,1] has 3 digits.
[3,8] has 2 digits.
[8,5,1] + [3,8] , A=[] , C=0 , 1+8+0=9 , A->9 , C->0
[8,5] + [3] , A=[9] , C=0 , 5+3+0=8 , A->8 , C->0
[8] + [] , A=[8,9] , C=0 , 8+0+0=8 , A->8 , C->0
[] + [] , A=[8,8,9] C=0 , END
</scratch>
889
| 889 |
Input:
888+429
Target:
| Input:
888+429
Target:
<scratch>
[8,8,8] has 3 digits.
[4,2,9] has 3 digits.
[8,8,8] + [4,2,9] , A=[] , C=0 , 8+9+0=17 , A->7 , C->1
[8,8] + [4,2] , A=[7] , C=1 , 8+2+1=11 , A->1 , C->1
[8] + [4] , A=[1,7] , C=1 , 8+4+1=13 , A->3 , C->1
[] + [] , A=[3,1,7] C=1 , END
</scratch>
1317
| 1317 |
Input:
17+980
Target:
| Input:
17+980
Target:
<scratch>
[1,7] has 2 digits.
[9,8,0] has 3 digits.
[1,7] + [9,8,0] , A=[] , C=0 , 7+0+0=7 , A->7 , C->0
[1] + [9,8] , A=[7] , C=0 , 1+8+0=9 , A->9 , C->0
[] + [9] , A=[9,7] , C=0 , 0+9+0=9 , A->9 , C->0
[] + [] , A=[9,9,7] C=0 , END
</scratch>
997
| 997 |
Input:
805+245
Target:
| Input:
805+245
Target:
<scratch>
[8,0,5] has 3 digits.
[2,4,5] has 3 digits.
[8,0,5] + [2,4,5] , A=[] , C=0 , 5+5+0=10 , A->0 , C->1
[8,0] + [2,4] , A=[0] , C=1 , 0+4+1=5 , A->5 , C->0
[8] + [2] , A=[5,0] , C=0 , 8+2+0=10 , A->0 , C->1
[] + [] , A=[0,5,0] C=1 , END
</scratch>
1050
| 1050 |
Input:
317+998
Target:
| Input:
317+998
Target:
<scratch>
[3,1,7] has 3 digits.
[9,9,8] has 3 digits.
[3,1,7] + [9,9,8] , A=[] , C=0 , 7+8+0=15 , A->5 , C->1
[3,1] + [9,9] , A=[5] , C=1 , 1+9+1=11 , A->1 , C->1
[3] + [9] , A=[1,5] , C=1 , 3+9+1=13 , A->3 , C->1
[] + [] , A=[3,1,5] C=1 , END
</scratch>
1315
| 1315 |
Input:
899+664
Target:
| Input:
899+664
Target:
<scratch>
[8,9,9] has 3 digits.
[6,6,4] has 3 digits.
[8,9,9] + [6,6,4] , A=[] , C=0 , 9+4+0=13 , A->3 , C->1
[8,9] + [6,6] , A=[3] , C=1 , 9+6+1=16 , A->6 , C->1
[8] + [6] , A=[6,3] , C=1 , 8+6+1=15 , A->5 , C->1
[] + [] , A=[5,6,3] C=1 , END
</scratch>
1563
| 1563 |
Input:
274+248
Target:
| Input:
274+248
Target:
<scratch>
[2,7,4] has 3 digits.
[2,4,8] has 3 digits.
[2,7,4] + [2,4,8] , A=[] , C=0 , 4+8+0=12 , A->2 , C->1
[2,7] + [2,4] , A=[2] , C=1 , 7+4+1=12 , A->2 , C->1
[2] + [2] , A=[2,2] , C=1 , 2+2+1=5 , A->5 , C->0
[] + [] , A=[5,2,2] C=0 , END
</scratch>
522
| 522 |
Input:
831+309
Target:
| Input:
831+309
Target:
<scratch>
[8,3,1] has 3 digits.
[3,0,9] has 3 digits.
[8,3,1] + [3,0,9] , A=[] , C=0 , 1+9+0=10 , A->0 , C->1
[8,3] + [3,0] , A=[0] , C=1 , 3+0+1=4 , A->4 , C->0
[8] + [3] , A=[4,0] , C=0 , 8+3+0=11 , A->1 , C->1
[] + [] , A=[1,4,0] C=1 , END
</scratch>
1140
| 1140 |
Input:
479+266
Target:
| Input:
479+266
Target:
<scratch>
[4,7,9] has 3 digits.
[2,6,6] has 3 digits.
[4,7,9] + [2,6,6] , A=[] , C=0 , 9+6+0=15 , A->5 , C->1
[4,7] + [2,6] , A=[5] , C=1 , 7+6+1=14 , A->4 , C->1
[4] + [2] , A=[4,5] , C=1 , 4+2+1=7 , A->7 , C->0
[] + [] , A=[7,4,5] C=0 , END
</scratch>
745
| 745 |
Input:
381+16
Target:
| Input:
381+16
Target:
<scratch>
[3,8,1] has 3 digits.
[1,6] has 2 digits.
[3,8,1] + [1,6] , A=[] , C=0 , 1+6+0=7 , A->7 , C->0
[3,8] + [1] , A=[7] , C=0 , 8+1+0=9 , A->9 , C->0
[3] + [] , A=[9,7] , C=0 , 3+0+0=3 , A->3 , C->0
[] + [] , A=[3,9,7] C=0 , END
</scratch>
397
| 397 |
Input:
877+648
Target:
| Input:
877+648
Target:
<scratch>
[8,7,7] has 3 digits.
[6,4,8] has 3 digits.
[8,7,7] + [6,4,8] , A=[] , C=0 , 7+8+0=15 , A->5 , C->1
[8,7] + [6,4] , A=[5] , C=1 , 7+4+1=12 , A->2 , C->1
[8] + [6] , A=[2,5] , C=1 , 8+6+1=15 , A->5 , C->1
[] + [] , A=[5,2,5] C=1 , END
</scratch>
1525
| 1525 |
Input:
724+385
Target:
| Input:
724+385
Target:
<scratch>
[7,2,4] has 3 digits.
[3,8,5] has 3 digits.
[7,2,4] + [3,8,5] , A=[] , C=0 , 4+5+0=9 , A->9 , C->0
[7,2] + [3,8] , A=[9] , C=0 , 2+8+0=10 , A->0 , C->1
[7] + [3] , A=[0,9] , C=1 , 7+3+1=11 , A->1 , C->1
[] + [] , A=[1,0,9] C=1 , END
</scratch>
1109
| 1109 |
Input:
767+816
Target:
| Input:
767+816
Target:
<scratch>
[7,6,7] has 3 digits.
[8,1,6] has 3 digits.
[7,6,7] + [8,1,6] , A=[] , C=0 , 7+6+0=13 , A->3 , C->1
[7,6] + [8,1] , A=[3] , C=1 , 6+1+1=8 , A->8 , C->0
[7] + [8] , A=[8,3] , C=0 , 7+8+0=15 , A->5 , C->1
[] + [] , A=[5,8,3] C=1 , END
</scratch>
1583
| 1583 |
Input:
723+499
Target:
| Input:
723+499
Target:
<scratch>
[7,2,3] has 3 digits.
[4,9,9] has 3 digits.
[7,2,3] + [4,9,9] , A=[] , C=0 , 3+9+0=12 , A->2 , C->1
[7,2] + [4,9] , A=[2] , C=1 , 2+9+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:
782+589
Target:
| Input:
782+589
Target:
<scratch>
[7,8,2] has 3 digits.
[5,8,9] has 3 digits.
[7,8,2] + [5,8,9] , A=[] , C=0 , 2+9+0=11 , A->1 , C->1
[7,8] + [5,8] , A=[1] , C=1 , 8+8+1=17 , A->7 , C->1
[7] + [5] , A=[7,1] , C=1 , 7+5+1=13 , A->3 , C->1
[] + [] , A=[3,7,1] C=1 , END
</scratch>
1371
| 1371 |
Input:
836+688
Target:
| Input:
836+688
Target:
<scratch>
[8,3,6] has 3 digits.
[6,8,8] has 3 digits.
[8,3,6] + [6,8,8] , A=[] , C=0 , 6+8+0=14 , A->4 , C->1
[8,3] + [6,8] , A=[4] , C=1 , 3+8+1=12 , A->2 , C->1
[8] + [6] , A=[2,4] , C=1 , 8+6+1=15 , A->5 , C->1
[] + [] , A=[5,2,4] C=1 , END
</scratch>
1524
| 1524 |
Input:
699+733
Target:
| Input:
699+733
Target:
<scratch>
[6,9,9] has 3 digits.
[7,3,3] has 3 digits.
[6,9,9] + [7,3,3] , A=[] , C=0 , 9+3+0=12 , A->2 , C->1
[6,9] + [7,3] , A=[2] , C=1 , 9+3+1=13 , A->3 , C->1
[6] + [7] , A=[3,2] , C=1 , 6+7+1=14 , A->4 , C->1
[] + [] , A=[4,3,2] C=1 , END
</scratch>
1432
| 1432 |
Input:
770+541
Target:
| Input:
770+541
Target:
<scratch>
[7,7,0] has 3 digits.
[5,4,1] has 3 digits.
[7,7,0] + [5,4,1] , A=[] , C=0 , 0+1+0=1 , A->1 , C->0
[7,7] + [5,4] , A=[1] , C=0 , 7+4+0=11 , A->1 , C->1
[7] + [5] , A=[1,1] , C=1 , 7+5+1=13 , A->3 , C->1
[] + [] , A=[3,1,1] C=1 , END
</scratch>
1311
| 1311 |
Input:
762+956
Target:
| Input:
762+956
Target:
<scratch>
[7,6,2] has 3 digits.
[9,5,6] has 3 digits.
[7,6,2] + [9,5,6] , A=[] , C=0 , 2+6+0=8 , A->8 , C->0
[7,6] + [9,5] , A=[8] , C=0 , 6+5+0=11 , A->1 , C->1
[7] + [9] , A=[1,8] , C=1 , 7+9+1=17 , A->7 , C->1
[] + [] , A=[7,1,8] C=1 , END
</scratch>
1718
| 1718 |
Input:
648+0
Target:
| Input:
648+0
Target:
<scratch>
[6,4,8] has 3 digits.
[0] has 1 digits.
[6,4,8] + [0] , A=[] , C=0 , 8+0+0=8 , A->8 , C->0
[6,4] + [] , A=[8] , C=0 , 4+0+0=4 , A->4 , C->0
[6] + [] , A=[4,8] , C=0 , 6+0+0=6 , A->6 , C->0
[] + [] , A=[6,4,8] C=0 , END
</scratch>
648
| 648 |
Input:
624+958
Target:
| Input:
624+958
Target:
<scratch>
[6,2,4] has 3 digits.
[9,5,8] has 3 digits.
[6,2,4] + [9,5,8] , A=[] , C=0 , 4+8+0=12 , A->2 , C->1
[6,2] + [9,5] , A=[2] , C=1 , 2+5+1=8 , A->8 , C->0
[6] + [9] , A=[8,2] , C=0 , 6+9+0=15 , A->5 , C->1
[] + [] , A=[5,8,2] C=1 , END
</scratch>
1582
| 1582 |
Input:
451+874
Target:
| Input:
451+874
Target:
<scratch>
[4,5,1] has 3 digits.
[8,7,4] has 3 digits.
[4,5,1] + [8,7,4] , A=[] , C=0 , 1+4+0=5 , A->5 , C->0
[4,5] + [8,7] , A=[5] , C=0 , 5+7+0=12 , A->2 , C->1
[4] + [8] , A=[2,5] , C=1 , 4+8+1=13 , A->3 , C->1
[] + [] , A=[3,2,5] C=1 , END
</scratch>
1325
| 1325 |
Input:
305+198
Target:
| Input:
305+198
Target:
<scratch>
[3,0,5] has 3 digits.
[1,9,8] has 3 digits.
[3,0,5] + [1,9,8] , A=[] , C=0 , 5+8+0=13 , A->3 , C->1
[3,0] + [1,9] , A=[3] , C=1 , 0+9+1=10 , A->0 , C->1
[3] + [1] , A=[0,3] , C=1 , 3+1+1=5 , A->5 , C->0
[] + [] , A=[5,0,3] C=0 , END
</scratch>
503
| 503 |
Input:
961+866
Target:
| Input:
961+866
Target:
<scratch>
[9,6,1] has 3 digits.
[8,6,6] has 3 digits.
[9,6,1] + [8,6,6] , A=[] , C=0 , 1+6+0=7 , A->7 , C->0
[9,6] + [8,6] , A=[7] , C=0 , 6+6+0=12 , A->2 , C->1
[9] + [8] , A=[2,7] , C=1 , 9+8+1=18 , A->8 , C->1
[] + [] , A=[8,2,7] C=1 , END
</scratch>
1827
| 1827 |
Input:
204+20
Target:
| Input:
204+20
Target:
<scratch>
[2,0,4] has 3 digits.
[2,0] has 2 digits.
[2,0,4] + [2,0] , A=[] , C=0 , 4+0+0=4 , A->4 , C->0
[2,0] + [2] , A=[4] , C=0 , 0+2+0=2 , A->2 , C->0
[2] + [] , A=[2,4] , C=0 , 2+0+0=2 , A->2 , C->0
[] + [] , A=[2,2,4] C=0 , END
</scratch>
224
| 224 |
Input:
581+413
Target:
| Input:
581+413
Target:
<scratch>
[5,8,1] has 3 digits.
[4,1,3] has 3 digits.
[5,8,1] + [4,1,3] , A=[] , C=0 , 1+3+0=4 , A->4 , C->0
[5,8] + [4,1] , A=[4] , C=0 , 8+1+0=9 , A->9 , C->0
[5] + [4] , A=[9,4] , C=0 , 5+4+0=9 , A->9 , C->0
[] + [] , A=[9,9,4] C=0 , END
</scratch>
994
| 994 |
Input:
846+581
Target:
| Input:
846+581
Target:
<scratch>
[8,4,6] has 3 digits.
[5,8,1] has 3 digits.
[8,4,6] + [5,8,1] , A=[] , C=0 , 6+1+0=7 , A->7 , C->0
[8,4] + [5,8] , A=[7] , C=0 , 4+8+0=12 , A->2 , C->1
[8] + [5] , A=[2,7] , C=1 , 8+5+1=14 , A->4 , C->1
[] + [] , A=[4,2,7] C=1 , END
</scratch>
1427
| 1427 |
Input:
68+256
Target:
| Input:
68+256
Target:
<scratch>
[6,8] has 2 digits.
[2,5,6] has 3 digits.
[6,8] + [2,5,6] , A=[] , C=0 , 8+6+0=14 , A->4 , C->1
[6] + [2,5] , A=[4] , C=1 , 6+5+1=12 , A->2 , C->1
[] + [2] , A=[2,4] , C=1 , 0+2+1=3 , A->3 , C->0
[] + [] , A=[3,2,4] C=0 , END
</scratch>
324
| 324 |
Input:
227+742
Target:
| Input:
227+742
Target:
<scratch>
[2,2,7] has 3 digits.
[7,4,2] has 3 digits.
[2,2,7] + [7,4,2] , A=[] , C=0 , 7+2+0=9 , A->9 , C->0
[2,2] + [7,4] , A=[9] , C=0 , 2+4+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:
714+220
Target:
| Input:
714+220
Target:
<scratch>
[7,1,4] has 3 digits.
[2,2,0] has 3 digits.
[7,1,4] + [2,2,0] , A=[] , C=0 , 4+0+0=4 , A->4 , C->0
[7,1] + [2,2] , A=[4] , C=0 , 1+2+0=3 , A->3 , C->0
[7] + [2] , A=[3,4] , C=0 , 7+2+0=9 , A->9 , C->0
[] + [] , A=[9,3,4] C=0 , END
</scratch>
934
| 934 |
Input:
529+891
Target:
| Input:
529+891
Target:
<scratch>
[5,2,9] has 3 digits.
[8,9,1] has 3 digits.
[5,2,9] + [8,9,1] , A=[] , C=0 , 9+1+0=10 , A->0 , C->1
[5,2] + [8,9] , A=[0] , C=1 , 2+9+1=12 , A->2 , C->1
[5] + [8] , A=[2,0] , C=1 , 5+8+1=14 , A->4 , C->1
[] + [] , A=[4,2,0] C=1 , END
</scratch>
1420
| 1420 |
Input:
303+46
Target:
| Input:
303+46
Target:
<scratch>
[3,0,3] has 3 digits.
[4,6] has 2 digits.
[3,0,3] + [4,6] , A=[] , C=0 , 3+6+0=9 , A->9 , C->0
[3,0] + [4] , A=[9] , C=0 , 0+4+0=4 , A->4 , C->0
[3] + [] , A=[4,9] , C=0 , 3+0+0=3 , A->3 , C->0
[] + [] , A=[3,4,9] C=0 , END
</scratch>
349
| 349 |
Input:
997+736
Target:
| Input:
997+736
Target:
<scratch>
[9,9,7] has 3 digits.
[7,3,6] has 3 digits.
[9,9,7] + [7,3,6] , A=[] , C=0 , 7+6+0=13 , A->3 , C->1
[9,9] + [7,3] , A=[3] , C=1 , 9+3+1=13 , A->3 , C->1
[9] + [7] , A=[3,3] , C=1 , 9+7+1=17 , A->7 , C->1
[] + [] , A=[7,3,3] C=1 , END
</scratch>
1733
| 1733 |
Input:
332+324
Target:
| Input:
332+324
Target:
<scratch>
[3,3,2] has 3 digits.
[3,2,4] has 3 digits.
[3,3,2] + [3,2,4] , A=[] , C=0 , 2+4+0=6 , A->6 , C->0
[3,3] + [3,2] , A=[6] , C=0 , 3+2+0=5 , A->5 , C->0
[3] + [3] , A=[5,6] , C=0 , 3+3+0=6 , A->6 , C->0
[] + [] , A=[6,5,6] C=0 , END
</scratch>
656
| 656 |
Input:
897+582
Target:
| Input:
897+582
Target:
<scratch>
[8,9,7] has 3 digits.
[5,8,2] has 3 digits.
[8,9,7] + [5,8,2] , A=[] , C=0 , 7+2+0=9 , A->9 , C->0
[8,9] + [5,8] , A=[9] , C=0 , 9+8+0=17 , A->7 , C->1
[8] + [5] , A=[7,9] , C=1 , 8+5+1=14 , A->4 , C->1
[] + [] , A=[4,7,9] C=1 , END
</scratch>
1479
| 1479 |
Input:
461+124
Target:
| Input:
461+124
Target:
<scratch>
[4,6,1] has 3 digits.
[1,2,4] has 3 digits.
[4,6,1] + [1,2,4] , A=[] , C=0 , 1+4+0=5 , A->5 , C->0
[4,6] + [1,2] , A=[5] , C=0 , 6+2+0=8 , A->8 , C->0
[4] + [1] , A=[8,5] , C=0 , 4+1+0=5 , A->5 , C->0
[] + [] , A=[5,8,5] C=0 , END
</scratch>
585
| 585 |
Input:
258+783
Target:
| Input:
258+783
Target:
<scratch>
[2,5,8] has 3 digits.
[7,8,3] has 3 digits.
[2,5,8] + [7,8,3] , A=[] , C=0 , 8+3+0=11 , A->1 , C->1
[2,5] + [7,8] , A=[1] , C=1 , 5+8+1=14 , A->4 , C->1
[2] + [7] , A=[4,1] , C=1 , 2+7+1=10 , A->0 , C->1
[] + [] , A=[0,4,1] C=1 , END
</scratch>
1041
| 1041 |
Input:
303+799
Target:
| Input:
303+799
Target:
<scratch>
[3,0,3] has 3 digits.
[7,9,9] has 3 digits.
[3,0,3] + [7,9,9] , A=[] , C=0 , 3+9+0=12 , A->2 , C->1
[3,0] + [7,9] , A=[2] , C=1 , 0+9+1=10 , A->0 , C->1
[3] + [7] , A=[0,2] , C=1 , 3+7+1=11 , A->1 , C->1
[] + [] , A=[1,0,2] C=1 , END
</scratch>
1102
| 1102 |
Input:
982+674
Target:
| Input:
982+674
Target:
<scratch>
[9,8,2] has 3 digits.
[6,7,4] has 3 digits.
[9,8,2] + [6,7,4] , A=[] , C=0 , 2+4+0=6 , A->6 , C->0
[9,8] + [6,7] , A=[6] , C=0 , 8+7+0=15 , A->5 , C->1
[9] + [6] , A=[5,6] , C=1 , 9+6+1=16 , A->6 , C->1
[] + [] , A=[6,5,6] C=1 , END
</scratch>
1656
| 1656 |
Input:
366+874
Target:
| Input:
366+874
Target:
<scratch>
[3,6,6] has 3 digits.
[8,7,4] has 3 digits.
[3,6,6] + [8,7,4] , A=[] , C=0 , 6+4+0=10 , A->0 , C->1
[3,6] + [8,7] , A=[0] , C=1 , 6+7+1=14 , A->4 , C->1
[3] + [8] , A=[4,0] , C=1 , 3+8+1=12 , A->2 , C->1
[] + [] , A=[2,4,0] C=1 , END
</scratch>
1240
| 1240 |
Input:
535+665
Target:
| Input:
535+665
Target:
<scratch>
[5,3,5] has 3 digits.
[6,6,5] has 3 digits.
[5,3,5] + [6,6,5] , A=[] , C=0 , 5+5+0=10 , A->0 , C->1
[5,3] + [6,6] , A=[0] , C=1 , 3+6+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:
77+596
Target:
| Input:
77+596
Target:
<scratch>
[7,7] has 2 digits.
[5,9,6] has 3 digits.
[7,7] + [5,9,6] , A=[] , C=0 , 7+6+0=13 , A->3 , C->1
[7] + [5,9] , A=[3] , C=1 , 7+9+1=17 , A->7 , C->1
[] + [5] , A=[7,3] , C=1 , 0+5+1=6 , A->6 , C->0
[] + [] , A=[6,7,3] C=0 , END
</scratch>
673
| 673 |
Input:
129+599
Target:
| Input:
129+599
Target:
<scratch>
[1,2,9] has 3 digits.
[5,9,9] has 3 digits.
[1,2,9] + [5,9,9] , A=[] , C=0 , 9+9+0=18 , A->8 , C->1
[1,2] + [5,9] , A=[8] , C=1 , 2+9+1=12 , A->2 , C->1
[1] + [5] , A=[2,8] , C=1 , 1+5+1=7 , A->7 , C->0
[] + [] , A=[7,2,8] C=0 , END
</scratch>
728
| 728 |
Input:
264+569
Target:
| Input:
264+569
Target:
<scratch>
[2,6,4] has 3 digits.
[5,6,9] has 3 digits.
[2,6,4] + [5,6,9] , A=[] , C=0 , 4+9+0=13 , A->3 , C->1
[2,6] + [5,6] , A=[3] , C=1 , 6+6+1=13 , A->3 , C->1
[2] + [5] , A=[3,3] , C=1 , 2+5+1=8 , A->8 , C->0
[] + [] , A=[8,3,3] C=0 , END
</scratch>
833
| 833 |
Input:
612+16
Target:
| Input:
612+16
Target:
<scratch>
[6,1,2] has 3 digits.
[1,6] has 2 digits.
[6,1,2] + [1,6] , A=[] , C=0 , 2+6+0=8 , A->8 , C->0
[6,1] + [1] , A=[8] , C=0 , 1+1+0=2 , A->2 , C->0
[6] + [] , A=[2,8] , C=0 , 6+0+0=6 , A->6 , C->0
[] + [] , A=[6,2,8] C=0 , END
</scratch>
628
| 628 |
Input:
938+913
Target:
| Input:
938+913
Target:
<scratch>
[9,3,8] has 3 digits.
[9,1,3] has 3 digits.
[9,3,8] + [9,1,3] , A=[] , C=0 , 8+3+0=11 , A->1 , C->1
[9,3] + [9,1] , A=[1] , C=1 , 3+1+1=5 , A->5 , C->0
[9] + [9] , A=[5,1] , C=0 , 9+9+0=18 , A->8 , C->1
[] + [] , A=[8,5,1] C=1 , END
</scratch>
1851
| 1851 |
Input:
665+189
Target:
| Input:
665+189
Target:
<scratch>
[6,6,5] has 3 digits.
[1,8,9] has 3 digits.
[6,6,5] + [1,8,9] , A=[] , C=0 , 5+9+0=14 , A->4 , C->1
[6,6] + [1,8] , A=[4] , C=1 , 6+8+1=15 , A->5 , C->1
[6] + [1] , A=[5,4] , C=1 , 6+1+1=8 , A->8 , C->0
[] + [] , A=[8,5,4] C=0 , END
</scratch>
854
| 854 |
Input:
873+733
Target:
| Input:
873+733
Target:
<scratch>
[8,7,3] has 3 digits.
[7,3,3] has 3 digits.
[8,7,3] + [7,3,3] , A=[] , C=0 , 3+3+0=6 , A->6 , C->0
[8,7] + [7,3] , A=[6] , C=0 , 7+3+0=10 , A->0 , C->1
[8] + [7] , A=[0,6] , C=1 , 8+7+1=16 , A->6 , C->1
[] + [] , A=[6,0,6] C=1 , END
</scratch>
1606
| 1606 |
Input:
550+245
Target:
| Input:
550+245
Target:
<scratch>
[5,5,0] has 3 digits.
[2,4,5] has 3 digits.
[5,5,0] + [2,4,5] , A=[] , C=0 , 0+5+0=5 , A->5 , C->0
[5,5] + [2,4] , A=[5] , C=0 , 5+4+0=9 , A->9 , C->0
[5] + [2] , A=[9,5] , C=0 , 5+2+0=7 , A->7 , C->0
[] + [] , A=[7,9,5] C=0 , END
</scratch>
795
| 795 |
Input:
898+982
Target:
| Input:
898+982
Target:
<scratch>
[8,9,8] has 3 digits.
[9,8,2] has 3 digits.
[8,9,8] + [9,8,2] , A=[] , C=0 , 8+2+0=10 , A->0 , C->1
[8,9] + [9,8] , A=[0] , C=1 , 9+8+1=18 , A->8 , C->1
[8] + [9] , A=[8,0] , C=1 , 8+9+1=18 , A->8 , C->1
[] + [] , A=[8,8,0] C=1 , END
</scratch>
1880
| 1880 |
Input:
965+755
Target:
| Input:
965+755
Target:
<scratch>
[9,6,5] has 3 digits.
[7,5,5] has 3 digits.
[9,6,5] + [7,5,5] , A=[] , C=0 , 5+5+0=10 , A->0 , C->1
[9,6] + [7,5] , A=[0] , C=1 , 6+5+1=12 , A->2 , C->1
[9] + [7] , A=[2,0] , C=1 , 9+7+1=17 , A->7 , C->1
[] + [] , A=[7,2,0] C=1 , END
</scratch>
1720
| 1720 |
Input:
758+241
Target:
| Input:
758+241
Target:
<scratch>
[7,5,8] has 3 digits.
[2,4,1] has 3 digits.
[7,5,8] + [2,4,1] , A=[] , C=0 , 8+1+0=9 , A->9 , C->0
[7,5] + [2,4] , A=[9] , C=0 , 5+4+0=9 , A->9 , C->0
[7] + [2] , A=[9,9] , C=0 , 7+2+0=9 , A->9 , C->0
[] + [] , A=[9,9,9] C=0 , END
</scratch>
999
| 999 |
Input:
35+797
Target:
| Input:
35+797
Target:
<scratch>
[3,5] has 2 digits.
[7,9,7] has 3 digits.
[3,5] + [7,9,7] , A=[] , C=0 , 5+7+0=12 , A->2 , C->1
[3] + [7,9] , A=[2] , C=1 , 3+9+1=13 , A->3 , C->1
[] + [7] , A=[3,2] , C=1 , 0+7+1=8 , A->8 , C->0
[] + [] , A=[8,3,2] C=0 , END
</scratch>
832
| 832 |
Input:
257+156
Target:
| Input:
257+156
Target:
<scratch>
[2,5,7] has 3 digits.
[1,5,6] has 3 digits.
[2,5,7] + [1,5,6] , A=[] , C=0 , 7+6+0=13 , A->3 , C->1
[2,5] + [1,5] , A=[3] , C=1 , 5+5+1=11 , A->1 , C->1
[2] + [1] , A=[1,3] , C=1 , 2+1+1=4 , A->4 , C->0
[] + [] , A=[4,1,3] C=0 , END
</scratch>
413
| 413 |
Input:
922+79
Target:
| Input:
922+79
Target:
<scratch>
[9,2,2] has 3 digits.
[7,9] has 2 digits.
[9,2,2] + [7,9] , A=[] , C=0 , 2+9+0=11 , A->1 , C->1
[9,2] + [7] , A=[1] , C=1 , 2+7+1=10 , A->0 , C->1
[9] + [] , A=[0,1] , C=1 , 9+0+1=10 , A->0 , C->1
[] + [] , A=[0,0,1] C=1 , END
</scratch>
1001
| 1001 |
Input:
479+55
Target:
| Input:
479+55
Target:
<scratch>
[4,7,9] has 3 digits.
[5,5] has 2 digits.
[4,7,9] + [5,5] , A=[] , C=0 , 9+5+0=14 , A->4 , C->1
[4,7] + [5] , A=[4] , C=1 , 7+5+1=13 , A->3 , C->1
[4] + [] , A=[3,4] , C=1 , 4+0+1=5 , A->5 , C->0
[] + [] , A=[5,3,4] C=0 , END
</scratch>
534
| 534 |
Input:
891+325
Target:
| Input:
891+325
Target:
<scratch>
[8,9,1] has 3 digits.
[3,2,5] has 3 digits.
[8,9,1] + [3,2,5] , A=[] , C=0 , 1+5+0=6 , A->6 , C->0
[8,9] + [3,2] , A=[6] , C=0 , 9+2+0=11 , A->1 , C->1
[8] + [3] , A=[1,6] , C=1 , 8+3+1=12 , A->2 , C->1
[] + [] , A=[2,1,6] C=1 , END
</scratch>
1216
| 1216 |
Input:
31+410
Target:
| Input:
31+410
Target:
<scratch>
[3,1] has 2 digits.
[4,1,0] has 3 digits.
[3,1] + [4,1,0] , A=[] , C=0 , 1+0+0=1 , A->1 , C->0
[3] + [4,1] , A=[1] , C=0 , 3+1+0=4 , A->4 , C->0
[] + [4] , A=[4,1] , C=0 , 0+4+0=4 , A->4 , C->0
[] + [] , A=[4,4,1] C=0 , END
</scratch>
441
| 441 |
Input:
745+281
Target:
| Input:
745+281
Target:
<scratch>
[7,4,5] has 3 digits.
[2,8,1] has 3 digits.
[7,4,5] + [2,8,1] , A=[] , C=0 , 5+1+0=6 , A->6 , C->0
[7,4] + [2,8] , A=[6] , C=0 , 4+8+0=12 , A->2 , C->1
[7] + [2] , A=[2,6] , C=1 , 7+2+1=10 , A->0 , C->1
[] + [] , A=[0,2,6] C=1 , END
</scratch>
1026
| 1026 |
Input:
500+367
Target:
| Input:
500+367
Target:
<scratch>
[5,0,0] has 3 digits.
[3,6,7] has 3 digits.
[5,0,0] + [3,6,7] , A=[] , C=0 , 0+7+0=7 , A->7 , C->0
[5,0] + [3,6] , A=[7] , C=0 , 0+6+0=6 , A->6 , C->0
[5] + [3] , A=[6,7] , C=0 , 5+3+0=8 , A->8 , C->0
[] + [] , A=[8,6,7] C=0 , END
</scratch>
867
| 867 |
Input:
182+114
Target:
| Input:
182+114
Target:
<scratch>
[1,8,2] has 3 digits.
[1,1,4] has 3 digits.
[1,8,2] + [1,1,4] , A=[] , C=0 , 2+4+0=6 , A->6 , C->0
[1,8] + [1,1] , A=[6] , C=0 , 8+1+0=9 , A->9 , C->0
[1] + [1] , A=[9,6] , C=0 , 1+1+0=2 , A->2 , C->0
[] + [] , A=[2,9,6] C=0 , END
</scratch>
296
| 296 |
Input:
339+100
Target:
| Input:
339+100
Target:
<scratch>
[3,3,9] has 3 digits.
[1,0,0] has 3 digits.
[3,3,9] + [1,0,0] , A=[] , C=0 , 9+0+0=9 , A->9 , C->0
[3,3] + [1,0] , A=[9] , C=0 , 3+0+0=3 , A->3 , C->0
[3] + [1] , A=[3,9] , C=0 , 3+1+0=4 , A->4 , C->0
[] + [] , A=[4,3,9] C=0 , END
</scratch>
439
| 439 |
Input:
458+927
Target:
| Input:
458+927
Target:
<scratch>
[4,5,8] has 3 digits.
[9,2,7] has 3 digits.
[4,5,8] + [9,2,7] , A=[] , C=0 , 8+7+0=15 , A->5 , C->1
[4,5] + [9,2] , A=[5] , C=1 , 5+2+1=8 , A->8 , C->0
[4] + [9] , A=[8,5] , C=0 , 4+9+0=13 , A->3 , C->1
[] + [] , A=[3,8,5] C=1 , END
</scratch>
1385
| 1385 |
Input:
743+862
Target:
| Input:
743+862
Target:
<scratch>
[7,4,3] has 3 digits.
[8,6,2] has 3 digits.
[7,4,3] + [8,6,2] , A=[] , C=0 , 3+2+0=5 , A->5 , C->0
[7,4] + [8,6] , A=[5] , C=0 , 4+6+0=10 , A->0 , C->1
[7] + [8] , A=[0,5] , C=1 , 7+8+1=16 , A->6 , C->1
[] + [] , A=[6,0,5] C=1 , END
</scratch>
1605
| 1605 |
Input:
998+10
Target:
| Input:
998+10
Target:
<scratch>
[9,9,8] has 3 digits.
[1,0] has 2 digits.
[9,9,8] + [1,0] , A=[] , C=0 , 8+0+0=8 , A->8 , C->0
[9,9] + [1] , A=[8] , C=0 , 9+1+0=10 , A->0 , C->1
[9] + [] , A=[0,8] , C=1 , 9+0+1=10 , A->0 , C->1
[] + [] , A=[0,0,8] C=1 , END
</scratch>
1008
| 1008 |
Input:
709+315
Target:
| Input:
709+315
Target:
<scratch>
[7,0,9] has 3 digits.
[3,1,5] has 3 digits.
[7,0,9] + [3,1,5] , A=[] , C=0 , 9+5+0=14 , A->4 , C->1
[7,0] + [3,1] , A=[4] , C=1 , 0+1+1=2 , A->2 , C->0
[7] + [3] , A=[2,4] , C=0 , 7+3+0=10 , A->0 , C->1
[] + [] , A=[0,2,4] C=1 , END
</scratch>
1024
| 1024 |
Input:
399+177
Target:
| Input:
399+177
Target:
<scratch>
[3,9,9] has 3 digits.
[1,7,7] has 3 digits.
[3,9,9] + [1,7,7] , A=[] , C=0 , 9+7+0=16 , A->6 , C->1
[3,9] + [1,7] , A=[6] , C=1 , 9+7+1=17 , A->7 , C->1
[3] + [1] , A=[7,6] , C=1 , 3+1+1=5 , A->5 , C->0
[] + [] , A=[5,7,6] C=0 , END
</scratch>
576
| 576 |
Input:
380+887
Target:
| Input:
380+887
Target:
<scratch>
[3,8,0] has 3 digits.
[8,8,7] has 3 digits.
[3,8,0] + [8,8,7] , A=[] , C=0 , 0+7+0=7 , A->7 , C->0
[3,8] + [8,8] , A=[7] , C=0 , 8+8+0=16 , A->6 , C->1
[3] + [8] , A=[6,7] , C=1 , 3+8+1=12 , A->2 , C->1
[] + [] , A=[2,6,7] C=1 , END
</scratch>
1267
| 1267 |
Input:
371+211
Target:
| Input:
371+211
Target:
<scratch>
[3,7,1] has 3 digits.
[2,1,1] has 3 digits.
[3,7,1] + [2,1,1] , A=[] , C=0 , 1+1+0=2 , A->2 , C->0
[3,7] + [2,1] , A=[2] , C=0 , 7+1+0=8 , A->8 , C->0
[3] + [2] , A=[8,2] , C=0 , 3+2+0=5 , A->5 , C->0
[] + [] , A=[5,8,2] C=0 , END
</scratch>
582
| 582 |
Input:
475+916
Target:
| Input:
475+916
Target:
<scratch>
[4,7,5] has 3 digits.
[9,1,6] has 3 digits.
[4,7,5] + [9,1,6] , A=[] , C=0 , 5+6+0=11 , A->1 , C->1
[4,7] + [9,1] , A=[1] , C=1 , 7+1+1=9 , A->9 , C->0
[4] + [9] , A=[9,1] , C=0 , 4+9+0=13 , A->3 , C->1
[] + [] , A=[3,9,1] C=1 , END
</scratch>
1391
| 1391 |
Input:
646+33
Target:
| Input:
646+33
Target:
<scratch>
[6,4,6] has 3 digits.
[3,3] has 2 digits.
[6,4,6] + [3,3] , A=[] , C=0 , 6+3+0=9 , A->9 , C->0
[6,4] + [3] , A=[9] , C=0 , 4+3+0=7 , A->7 , C->0
[6] + [] , A=[7,9] , C=0 , 6+0+0=6 , A->6 , C->0
[] + [] , A=[6,7,9] C=0 , END
</scratch>
679
| 679 |
Input:
670+439
Target:
| Input:
670+439
Target:
<scratch>
[6,7,0] has 3 digits.
[4,3,9] has 3 digits.
[6,7,0] + [4,3,9] , A=[] , C=0 , 0+9+0=9 , A->9 , C->0
[6,7] + [4,3] , A=[9] , C=0 , 7+3+0=10 , A->0 , C->1
[6] + [4] , A=[0,9] , C=1 , 6+4+1=11 , A->1 , C->1
[] + [] , A=[1,0,9] C=1 , END
</scratch>
1109
| 1109 |
Input:
563+663
Target:
| Input:
563+663
Target:
<scratch>
[5,6,3] has 3 digits.
[6,6,3] has 3 digits.
[5,6,3] + [6,6,3] , A=[] , C=0 , 3+3+0=6 , A->6 , C->0
[5,6] + [6,6] , A=[6] , C=0 , 6+6+0=12 , A->2 , C->1
[5] + [6] , A=[2,6] , C=1 , 5+6+1=12 , A->2 , C->1
[] + [] , A=[2,2,6] C=1 , END
</scratch>
1226
| 1226 |
Input:
111+264
Target:
| Input:
111+264
Target:
<scratch>
[1,1,1] has 3 digits.
[2,6,4] has 3 digits.
[1,1,1] + [2,6,4] , A=[] , C=0 , 1+4+0=5 , A->5 , C->0
[1,1] + [2,6] , A=[5] , C=0 , 1+6+0=7 , A->7 , C->0
[1] + [2] , A=[7,5] , C=0 , 1+2+0=3 , A->3 , C->0
[] + [] , A=[3,7,5] C=0 , END
</scratch>
375
| 375 |
Input:
716+160
Target:
| Input:
716+160
Target:
<scratch>
[7,1,6] has 3 digits.
[1,6,0] has 3 digits.
[7,1,6] + [1,6,0] , A=[] , C=0 , 6+0+0=6 , A->6 , C->0
[7,1] + [1,6] , A=[6] , C=0 , 1+6+0=7 , A->7 , C->0
[7] + [1] , A=[7,6] , C=0 , 7+1+0=8 , A->8 , C->0
[] + [] , A=[8,7,6] C=0 , END
</scratch>
876
| 876 |
Input:
258+598
Target:
| Input:
258+598
Target:
<scratch>
[2,5,8] has 3 digits.
[5,9,8] has 3 digits.
[2,5,8] + [5,9,8] , A=[] , C=0 , 8+8+0=16 , A->6 , C->1
[2,5] + [5,9] , A=[6] , C=1 , 5+9+1=15 , A->5 , C->1
[2] + [5] , A=[5,6] , C=1 , 2+5+1=8 , A->8 , C->0
[] + [] , A=[8,5,6] C=0 , END
</scratch>
856
| 856 |
Input:
487+263
Target:
| Input:
487+263
Target:
<scratch>
[4,8,7] has 3 digits.
[2,6,3] has 3 digits.
[4,8,7] + [2,6,3] , A=[] , C=0 , 7+3+0=10 , A->0 , C->1
[4,8] + [2,6] , A=[0] , C=1 , 8+6+1=15 , A->5 , C->1
[4] + [2] , A=[5,0] , C=1 , 4+2+1=7 , A->7 , C->0
[] + [] , A=[7,5,0] C=0 , END
</scratch>
750
| 750 |
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