input_test
stringlengths 19
23
| scratchpad
stringlengths 151
283
| result_final
stringlengths 1
4
|
|---|---|---|
Input:
105+80
Target:
| Input:
105+80
Target:
<scratch>
[1,0,5] has 3 digits.
[8,0] has 2 digits.
[1,0,5] + [8,0] , A=[] , C=0 , 5+0+0=5 , A->5 , C->0
[1,0] + [8] , A=[5] , C=0 , 0+8+0=8 , A->8 , C->0
[1] + [] , A=[8,5] , C=0 , 1+0+0=1 , A->1 , C->0
[] + [] , A=[1,8,5] C=0 , END
</scratch>
185
| 185 |
Input:
799+518
Target:
| Input:
799+518
Target:
<scratch>
[7,9,9] has 3 digits.
[5,1,8] has 3 digits.
[7,9,9] + [5,1,8] , A=[] , C=0 , 9+8+0=17 , A->7 , C->1
[7,9] + [5,1] , A=[7] , C=1 , 9+1+1=11 , A->1 , C->1
[7] + [5] , A=[1,7] , C=1 , 7+5+1=13 , A->3 , C->1
[] + [] , A=[3,1,7] C=1 , END
</scratch>
1317
| 1317 |
Input:
932+954
Target:
| Input:
932+954
Target:
<scratch>
[9,3,2] has 3 digits.
[9,5,4] has 3 digits.
[9,3,2] + [9,5,4] , A=[] , C=0 , 2+4+0=6 , A->6 , C->0
[9,3] + [9,5] , A=[6] , C=0 , 3+5+0=8 , A->8 , C->0
[9] + [9] , A=[8,6] , C=0 , 9+9+0=18 , A->8 , C->1
[] + [] , A=[8,8,6] C=1 , END
</scratch>
1886
| 1886 |
Input:
176+552
Target:
| Input:
176+552
Target:
<scratch>
[1,7,6] has 3 digits.
[5,5,2] has 3 digits.
[1,7,6] + [5,5,2] , A=[] , C=0 , 6+2+0=8 , A->8 , C->0
[1,7] + [5,5] , A=[8] , C=0 , 7+5+0=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:
943+602
Target:
| Input:
943+602
Target:
<scratch>
[9,4,3] has 3 digits.
[6,0,2] has 3 digits.
[9,4,3] + [6,0,2] , A=[] , C=0 , 3+2+0=5 , A->5 , C->0
[9,4] + [6,0] , A=[5] , C=0 , 4+0+0=4 , A->4 , C->0
[9] + [6] , A=[4,5] , C=0 , 9+6+0=15 , A->5 , C->1
[] + [] , A=[5,4,5] C=1 , END
</scratch>
1545
| 1545 |
Input:
712+819
Target:
| Input:
712+819
Target:
<scratch>
[7,1,2] has 3 digits.
[8,1,9] has 3 digits.
[7,1,2] + [8,1,9] , A=[] , C=0 , 2+9+0=11 , A->1 , C->1
[7,1] + [8,1] , A=[1] , C=1 , 1+1+1=3 , A->3 , C->0
[7] + [8] , A=[3,1] , C=0 , 7+8+0=15 , A->5 , C->1
[] + [] , A=[5,3,1] C=1 , END
</scratch>
1531
| 1531 |
Input:
996+712
Target:
| Input:
996+712
Target:
<scratch>
[9,9,6] has 3 digits.
[7,1,2] has 3 digits.
[9,9,6] + [7,1,2] , A=[] , C=0 , 6+2+0=8 , A->8 , C->0
[9,9] + [7,1] , A=[8] , C=0 , 9+1+0=10 , A->0 , C->1
[9] + [7] , A=[0,8] , C=1 , 9+7+1=17 , A->7 , C->1
[] + [] , A=[7,0,8] C=1 , END
</scratch>
1708
| 1708 |
Input:
214+432
Target:
| Input:
214+432
Target:
<scratch>
[2,1,4] has 3 digits.
[4,3,2] has 3 digits.
[2,1,4] + [4,3,2] , A=[] , C=0 , 4+2+0=6 , A->6 , C->0
[2,1] + [4,3] , A=[6] , C=0 , 1+3+0=4 , A->4 , C->0
[2] + [4] , A=[4,6] , C=0 , 2+4+0=6 , A->6 , C->0
[] + [] , A=[6,4,6] C=0 , END
</scratch>
646
| 646 |
Input:
900+878
Target:
| Input:
900+878
Target:
<scratch>
[9,0,0] has 3 digits.
[8,7,8] has 3 digits.
[9,0,0] + [8,7,8] , A=[] , C=0 , 0+8+0=8 , A->8 , C->0
[9,0] + [8,7] , A=[8] , C=0 , 0+7+0=7 , A->7 , C->0
[9] + [8] , A=[7,8] , C=0 , 9+8+0=17 , A->7 , C->1
[] + [] , A=[7,7,8] C=1 , END
</scratch>
1778
| 1778 |
Input:
660+946
Target:
| Input:
660+946
Target:
<scratch>
[6,6,0] has 3 digits.
[9,4,6] has 3 digits.
[6,6,0] + [9,4,6] , A=[] , C=0 , 0+6+0=6 , A->6 , C->0
[6,6] + [9,4] , A=[6] , C=0 , 6+4+0=10 , A->0 , C->1
[6] + [9] , A=[0,6] , C=1 , 6+9+1=16 , A->6 , C->1
[] + [] , A=[6,0,6] C=1 , END
</scratch>
1606
| 1606 |
Input:
919+586
Target:
| Input:
919+586
Target:
<scratch>
[9,1,9] has 3 digits.
[5,8,6] has 3 digits.
[9,1,9] + [5,8,6] , A=[] , C=0 , 9+6+0=15 , A->5 , C->1
[9,1] + [5,8] , A=[5] , C=1 , 1+8+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:
265+655
Target:
| Input:
265+655
Target:
<scratch>
[2,6,5] has 3 digits.
[6,5,5] has 3 digits.
[2,6,5] + [6,5,5] , A=[] , C=0 , 5+5+0=10 , A->0 , C->1
[2,6] + [6,5] , A=[0] , C=1 , 6+5+1=12 , A->2 , C->1
[2] + [6] , A=[2,0] , C=1 , 2+6+1=9 , A->9 , C->0
[] + [] , A=[9,2,0] C=0 , END
</scratch>
920
| 920 |
Input:
906+753
Target:
| Input:
906+753
Target:
<scratch>
[9,0,6] has 3 digits.
[7,5,3] has 3 digits.
[9,0,6] + [7,5,3] , A=[] , C=0 , 6+3+0=9 , A->9 , C->0
[9,0] + [7,5] , A=[9] , C=0 , 0+5+0=5 , A->5 , C->0
[9] + [7] , A=[5,9] , C=0 , 9+7+0=16 , A->6 , C->1
[] + [] , A=[6,5,9] C=1 , END
</scratch>
1659
| 1659 |
Input:
760+576
Target:
| Input:
760+576
Target:
<scratch>
[7,6,0] has 3 digits.
[5,7,6] has 3 digits.
[7,6,0] + [5,7,6] , A=[] , C=0 , 0+6+0=6 , A->6 , C->0
[7,6] + [5,7] , A=[6] , C=0 , 6+7+0=13 , A->3 , C->1
[7] + [5] , A=[3,6] , C=1 , 7+5+1=13 , A->3 , C->1
[] + [] , A=[3,3,6] C=1 , END
</scratch>
1336
| 1336 |
Input:
0+380
Target:
| Input:
0+380
Target:
<scratch>
[0] has 1 digits.
[3,8,0] has 3 digits.
[0] + [3,8,0] , A=[] , C=0 , 0+0+0=0 , A->0 , C->0
[] + [3,8] , A=[0] , C=0 , 0+8+0=8 , A->8 , C->0
[] + [3] , A=[8,0] , C=0 , 0+3+0=3 , A->3 , C->0
[] + [] , A=[3,8,0] C=0 , END
</scratch>
380
| 380 |
Input:
962+938
Target:
| Input:
962+938
Target:
<scratch>
[9,6,2] has 3 digits.
[9,3,8] has 3 digits.
[9,6,2] + [9,3,8] , A=[] , C=0 , 2+8+0=10 , A->0 , C->1
[9,6] + [9,3] , A=[0] , C=1 , 6+3+1=10 , A->0 , C->1
[9] + [9] , A=[0,0] , C=1 , 9+9+1=19 , A->9 , C->1
[] + [] , A=[9,0,0] C=1 , END
</scratch>
1900
| 1900 |
Input:
871+649
Target:
| Input:
871+649
Target:
<scratch>
[8,7,1] has 3 digits.
[6,4,9] has 3 digits.
[8,7,1] + [6,4,9] , A=[] , C=0 , 1+9+0=10 , A->0 , C->1
[8,7] + [6,4] , A=[0] , C=1 , 7+4+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:
242+286
Target:
| Input:
242+286
Target:
<scratch>
[2,4,2] has 3 digits.
[2,8,6] has 3 digits.
[2,4,2] + [2,8,6] , A=[] , C=0 , 2+6+0=8 , A->8 , C->0
[2,4] + [2,8] , A=[8] , C=0 , 4+8+0=12 , A->2 , C->1
[2] + [2] , A=[2,8] , C=1 , 2+2+1=5 , A->5 , C->0
[] + [] , A=[5,2,8] C=0 , END
</scratch>
528
| 528 |
Input:
331+94
Target:
| Input:
331+94
Target:
<scratch>
[3,3,1] has 3 digits.
[9,4] has 2 digits.
[3,3,1] + [9,4] , A=[] , C=0 , 1+4+0=5 , A->5 , C->0
[3,3] + [9] , A=[5] , C=0 , 3+9+0=12 , A->2 , C->1
[3] + [] , A=[2,5] , C=1 , 3+0+1=4 , A->4 , C->0
[] + [] , A=[4,2,5] C=0 , END
</scratch>
425
| 425 |
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:
188+652
Target:
| Input:
188+652
Target:
<scratch>
[1,8,8] has 3 digits.
[6,5,2] has 3 digits.
[1,8,8] + [6,5,2] , A=[] , C=0 , 8+2+0=10 , A->0 , C->1
[1,8] + [6,5] , A=[0] , C=1 , 8+5+1=14 , A->4 , C->1
[1] + [6] , A=[4,0] , C=1 , 1+6+1=8 , A->8 , C->0
[] + [] , A=[8,4,0] C=0 , END
</scratch>
840
| 840 |
Input:
871+368
Target:
| Input:
871+368
Target:
<scratch>
[8,7,1] has 3 digits.
[3,6,8] has 3 digits.
[8,7,1] + [3,6,8] , A=[] , C=0 , 1+8+0=9 , A->9 , C->0
[8,7] + [3,6] , A=[9] , C=0 , 7+6+0=13 , A->3 , C->1
[8] + [3] , A=[3,9] , C=1 , 8+3+1=12 , A->2 , C->1
[] + [] , A=[2,3,9] C=1 , END
</scratch>
1239
| 1239 |
Input:
703+259
Target:
| Input:
703+259
Target:
<scratch>
[7,0,3] has 3 digits.
[2,5,9] has 3 digits.
[7,0,3] + [2,5,9] , A=[] , C=0 , 3+9+0=12 , A->2 , C->1
[7,0] + [2,5] , A=[2] , C=1 , 0+5+1=6 , A->6 , C->0
[7] + [2] , A=[6,2] , C=0 , 7+2+0=9 , A->9 , C->0
[] + [] , A=[9,6,2] C=0 , END
</scratch>
962
| 962 |
Input:
51+707
Target:
| Input:
51+707
Target:
<scratch>
[5,1] has 2 digits.
[7,0,7] has 3 digits.
[5,1] + [7,0,7] , A=[] , C=0 , 1+7+0=8 , A->8 , C->0
[5] + [7,0] , A=[8] , C=0 , 5+0+0=5 , A->5 , C->0
[] + [7] , A=[5,8] , C=0 , 0+7+0=7 , A->7 , C->0
[] + [] , A=[7,5,8] C=0 , END
</scratch>
758
| 758 |
Input:
739+647
Target:
| Input:
739+647
Target:
<scratch>
[7,3,9] has 3 digits.
[6,4,7] has 3 digits.
[7,3,9] + [6,4,7] , A=[] , C=0 , 9+7+0=16 , A->6 , C->1
[7,3] + [6,4] , A=[6] , C=1 , 3+4+1=8 , A->8 , C->0
[7] + [6] , A=[8,6] , C=0 , 7+6+0=13 , A->3 , C->1
[] + [] , A=[3,8,6] C=1 , END
</scratch>
1386
| 1386 |
Input:
309+227
Target:
| Input:
309+227
Target:
<scratch>
[3,0,9] has 3 digits.
[2,2,7] has 3 digits.
[3,0,9] + [2,2,7] , A=[] , C=0 , 9+7+0=16 , A->6 , C->1
[3,0] + [2,2] , A=[6] , C=1 , 0+2+1=3 , A->3 , C->0
[3] + [2] , A=[3,6] , C=0 , 3+2+0=5 , A->5 , C->0
[] + [] , A=[5,3,6] C=0 , END
</scratch>
536
| 536 |
Input:
28+777
Target:
| Input:
28+777
Target:
<scratch>
[2,8] has 2 digits.
[7,7,7] has 3 digits.
[2,8] + [7,7,7] , A=[] , C=0 , 8+7+0=15 , A->5 , C->1
[2] + [7,7] , A=[5] , C=1 , 2+7+1=10 , A->0 , C->1
[] + [7] , A=[0,5] , C=1 , 0+7+1=8 , A->8 , C->0
[] + [] , A=[8,0,5] C=0 , END
</scratch>
805
| 805 |
Input:
746+838
Target:
| Input:
746+838
Target:
<scratch>
[7,4,6] has 3 digits.
[8,3,8] has 3 digits.
[7,4,6] + [8,3,8] , A=[] , C=0 , 6+8+0=14 , A->4 , C->1
[7,4] + [8,3] , A=[4] , C=1 , 4+3+1=8 , A->8 , C->0
[7] + [8] , A=[8,4] , C=0 , 7+8+0=15 , A->5 , C->1
[] + [] , A=[5,8,4] C=1 , END
</scratch>
1584
| 1584 |
Input:
856+684
Target:
| Input:
856+684
Target:
<scratch>
[8,5,6] has 3 digits.
[6,8,4] has 3 digits.
[8,5,6] + [6,8,4] , A=[] , C=0 , 6+4+0=10 , A->0 , C->1
[8,5] + [6,8] , A=[0] , C=1 , 5+8+1=14 , A->4 , C->1
[8] + [6] , A=[4,0] , C=1 , 8+6+1=15 , A->5 , C->1
[] + [] , A=[5,4,0] C=1 , END
</scratch>
1540
| 1540 |
Input:
317+714
Target:
| Input:
317+714
Target:
<scratch>
[3,1,7] has 3 digits.
[7,1,4] has 3 digits.
[3,1,7] + [7,1,4] , A=[] , C=0 , 7+4+0=11 , A->1 , C->1
[3,1] + [7,1] , A=[1] , C=1 , 1+1+1=3 , A->3 , C->0
[3] + [7] , A=[3,1] , C=0 , 3+7+0=10 , A->0 , C->1
[] + [] , A=[0,3,1] C=1 , END
</scratch>
1031
| 1031 |
Input:
53+668
Target:
| Input:
53+668
Target:
<scratch>
[5,3] has 2 digits.
[6,6,8] has 3 digits.
[5,3] + [6,6,8] , A=[] , C=0 , 3+8+0=11 , A->1 , C->1
[5] + [6,6] , A=[1] , C=1 , 5+6+1=12 , A->2 , C->1
[] + [6] , A=[2,1] , C=1 , 0+6+1=7 , A->7 , C->0
[] + [] , A=[7,2,1] C=0 , END
</scratch>
721
| 721 |
Input:
697+939
Target:
| Input:
697+939
Target:
<scratch>
[6,9,7] has 3 digits.
[9,3,9] has 3 digits.
[6,9,7] + [9,3,9] , A=[] , C=0 , 7+9+0=16 , A->6 , C->1
[6,9] + [9,3] , A=[6] , C=1 , 9+3+1=13 , A->3 , C->1
[6] + [9] , A=[3,6] , C=1 , 6+9+1=16 , A->6 , C->1
[] + [] , A=[6,3,6] C=1 , END
</scratch>
1636
| 1636 |
Input:
354+44
Target:
| Input:
354+44
Target:
<scratch>
[3,5,4] has 3 digits.
[4,4] has 2 digits.
[3,5,4] + [4,4] , A=[] , C=0 , 4+4+0=8 , A->8 , C->0
[3,5] + [4] , A=[8] , C=0 , 5+4+0=9 , A->9 , C->0
[3] + [] , A=[9,8] , C=0 , 3+0+0=3 , A->3 , C->0
[] + [] , A=[3,9,8] C=0 , END
</scratch>
398
| 398 |
Input:
539+96
Target:
| Input:
539+96
Target:
<scratch>
[5,3,9] has 3 digits.
[9,6] has 2 digits.
[5,3,9] + [9,6] , A=[] , C=0 , 9+6+0=15 , A->5 , C->1
[5,3] + [9] , A=[5] , C=1 , 3+9+1=13 , A->3 , C->1
[5] + [] , A=[3,5] , C=1 , 5+0+1=6 , A->6 , C->0
[] + [] , A=[6,3,5] C=0 , END
</scratch>
635
| 635 |
Input:
986+815
Target:
| Input:
986+815
Target:
<scratch>
[9,8,6] has 3 digits.
[8,1,5] has 3 digits.
[9,8,6] + [8,1,5] , A=[] , C=0 , 6+5+0=11 , A->1 , C->1
[9,8] + [8,1] , A=[1] , C=1 , 8+1+1=10 , A->0 , C->1
[9] + [8] , A=[0,1] , C=1 , 9+8+1=18 , A->8 , C->1
[] + [] , A=[8,0,1] C=1 , END
</scratch>
1801
| 1801 |
Input:
293+62
Target:
| Input:
293+62
Target:
<scratch>
[2,9,3] has 3 digits.
[6,2] has 2 digits.
[2,9,3] + [6,2] , A=[] , C=0 , 3+2+0=5 , A->5 , C->0
[2,9] + [6] , A=[5] , C=0 , 9+6+0=15 , A->5 , C->1
[2] + [] , A=[5,5] , C=1 , 2+0+1=3 , A->3 , C->0
[] + [] , A=[3,5,5] C=0 , END
</scratch>
355
| 355 |
Input:
18+368
Target:
| Input:
18+368
Target:
<scratch>
[1,8] has 2 digits.
[3,6,8] has 3 digits.
[1,8] + [3,6,8] , A=[] , C=0 , 8+8+0=16 , A->6 , C->1
[1] + [3,6] , A=[6] , C=1 , 1+6+1=8 , A->8 , C->0
[] + [3] , A=[8,6] , C=0 , 0+3+0=3 , A->3 , C->0
[] + [] , A=[3,8,6] C=0 , END
</scratch>
386
| 386 |
Input:
373+792
Target:
| Input:
373+792
Target:
<scratch>
[3,7,3] has 3 digits.
[7,9,2] has 3 digits.
[3,7,3] + [7,9,2] , A=[] , C=0 , 3+2+0=5 , A->5 , C->0
[3,7] + [7,9] , A=[5] , C=0 , 7+9+0=16 , A->6 , C->1
[3] + [7] , A=[6,5] , C=1 , 3+7+1=11 , A->1 , C->1
[] + [] , A=[1,6,5] C=1 , END
</scratch>
1165
| 1165 |
Input:
733+954
Target:
| Input:
733+954
Target:
<scratch>
[7,3,3] has 3 digits.
[9,5,4] has 3 digits.
[7,3,3] + [9,5,4] , A=[] , C=0 , 3+4+0=7 , A->7 , C->0
[7,3] + [9,5] , A=[7] , C=0 , 3+5+0=8 , A->8 , C->0
[7] + [9] , A=[8,7] , C=0 , 7+9+0=16 , A->6 , C->1
[] + [] , A=[6,8,7] C=1 , END
</scratch>
1687
| 1687 |
Input:
907+821
Target:
| Input:
907+821
Target:
<scratch>
[9,0,7] has 3 digits.
[8,2,1] has 3 digits.
[9,0,7] + [8,2,1] , A=[] , C=0 , 7+1+0=8 , A->8 , C->0
[9,0] + [8,2] , A=[8] , C=0 , 0+2+0=2 , A->2 , C->0
[9] + [8] , A=[2,8] , C=0 , 9+8+0=17 , A->7 , C->1
[] + [] , A=[7,2,8] C=1 , END
</scratch>
1728
| 1728 |
Input:
497+682
Target:
| Input:
497+682
Target:
<scratch>
[4,9,7] has 3 digits.
[6,8,2] has 3 digits.
[4,9,7] + [6,8,2] , A=[] , C=0 , 7+2+0=9 , A->9 , C->0
[4,9] + [6,8] , A=[9] , C=0 , 9+8+0=17 , A->7 , C->1
[4] + [6] , A=[7,9] , C=1 , 4+6+1=11 , A->1 , C->1
[] + [] , A=[1,7,9] C=1 , END
</scratch>
1179
| 1179 |
Input:
41+487
Target:
| Input:
41+487
Target:
<scratch>
[4,1] has 2 digits.
[4,8,7] has 3 digits.
[4,1] + [4,8,7] , A=[] , C=0 , 1+7+0=8 , A->8 , C->0
[4] + [4,8] , A=[8] , C=0 , 4+8+0=12 , A->2 , C->1
[] + [4] , A=[2,8] , C=1 , 0+4+1=5 , A->5 , C->0
[] + [] , A=[5,2,8] C=0 , END
</scratch>
528
| 528 |
Input:
746+357
Target:
| Input:
746+357
Target:
<scratch>
[7,4,6] has 3 digits.
[3,5,7] has 3 digits.
[7,4,6] + [3,5,7] , A=[] , C=0 , 6+7+0=13 , A->3 , C->1
[7,4] + [3,5] , A=[3] , C=1 , 4+5+1=10 , A->0 , C->1
[7] + [3] , A=[0,3] , C=1 , 7+3+1=11 , A->1 , C->1
[] + [] , A=[1,0,3] C=1 , END
</scratch>
1103
| 1103 |
Input:
577+316
Target:
| Input:
577+316
Target:
<scratch>
[5,7,7] has 3 digits.
[3,1,6] has 3 digits.
[5,7,7] + [3,1,6] , A=[] , C=0 , 7+6+0=13 , A->3 , C->1
[5,7] + [3,1] , A=[3] , C=1 , 7+1+1=9 , A->9 , C->0
[5] + [3] , A=[9,3] , C=0 , 5+3+0=8 , A->8 , C->0
[] + [] , A=[8,9,3] C=0 , END
</scratch>
893
| 893 |
Input:
934+456
Target:
| Input:
934+456
Target:
<scratch>
[9,3,4] has 3 digits.
[4,5,6] has 3 digits.
[9,3,4] + [4,5,6] , A=[] , C=0 , 4+6+0=10 , A->0 , C->1
[9,3] + [4,5] , A=[0] , C=1 , 3+5+1=9 , A->9 , C->0
[9] + [4] , A=[9,0] , C=0 , 9+4+0=13 , A->3 , C->1
[] + [] , A=[3,9,0] C=1 , END
</scratch>
1390
| 1390 |
Input:
810+902
Target:
| Input:
810+902
Target:
<scratch>
[8,1,0] has 3 digits.
[9,0,2] has 3 digits.
[8,1,0] + [9,0,2] , A=[] , C=0 , 0+2+0=2 , A->2 , C->0
[8,1] + [9,0] , A=[2] , C=0 , 1+0+0=1 , A->1 , C->0
[8] + [9] , A=[1,2] , C=0 , 8+9+0=17 , A->7 , C->1
[] + [] , A=[7,1,2] C=1 , END
</scratch>
1712
| 1712 |
Input:
351+113
Target:
| Input:
351+113
Target:
<scratch>
[3,5,1] has 3 digits.
[1,1,3] has 3 digits.
[3,5,1] + [1,1,3] , A=[] , C=0 , 1+3+0=4 , A->4 , C->0
[3,5] + [1,1] , A=[4] , C=0 , 5+1+0=6 , A->6 , C->0
[3] + [1] , A=[6,4] , C=0 , 3+1+0=4 , A->4 , C->0
[] + [] , A=[4,6,4] C=0 , END
</scratch>
464
| 464 |
Input:
294+515
Target:
| Input:
294+515
Target:
<scratch>
[2,9,4] has 3 digits.
[5,1,5] has 3 digits.
[2,9,4] + [5,1,5] , A=[] , C=0 , 4+5+0=9 , A->9 , C->0
[2,9] + [5,1] , A=[9] , C=0 , 9+1+0=10 , A->0 , C->1
[2] + [5] , A=[0,9] , C=1 , 2+5+1=8 , A->8 , C->0
[] + [] , A=[8,0,9] C=0 , END
</scratch>
809
| 809 |
Input:
22+80
Target:
| Input:
22+80
Target:
<scratch>
[2,2] has 2 digits.
[8,0] has 2 digits.
[2,2] + [8,0] , A=[] , C=0 , 2+0+0=2 , A->2 , C->0
[2] + [8] , A=[2] , C=0 , 2+8+0=10 , A->0 , C->1
[] + [] , A=[0,2] C=1 , END
</scratch>
102
| 102 |
Input:
950+649
Target:
| Input:
950+649
Target:
<scratch>
[9,5,0] has 3 digits.
[6,4,9] has 3 digits.
[9,5,0] + [6,4,9] , A=[] , C=0 , 0+9+0=9 , A->9 , C->0
[9,5] + [6,4] , A=[9] , C=0 , 5+4+0=9 , A->9 , C->0
[9] + [6] , A=[9,9] , C=0 , 9+6+0=15 , A->5 , C->1
[] + [] , A=[5,9,9] C=1 , END
</scratch>
1599
| 1599 |
Input:
22+384
Target:
| Input:
22+384
Target:
<scratch>
[2,2] has 2 digits.
[3,8,4] has 3 digits.
[2,2] + [3,8,4] , A=[] , C=0 , 2+4+0=6 , A->6 , C->0
[2] + [3,8] , A=[6] , C=0 , 2+8+0=10 , A->0 , C->1
[] + [3] , A=[0,6] , C=1 , 0+3+1=4 , A->4 , C->0
[] + [] , A=[4,0,6] C=0 , END
</scratch>
406
| 406 |
Input:
707+842
Target:
| Input:
707+842
Target:
<scratch>
[7,0,7] has 3 digits.
[8,4,2] has 3 digits.
[7,0,7] + [8,4,2] , A=[] , C=0 , 7+2+0=9 , A->9 , C->0
[7,0] + [8,4] , A=[9] , C=0 , 0+4+0=4 , A->4 , C->0
[7] + [8] , A=[4,9] , C=0 , 7+8+0=15 , A->5 , C->1
[] + [] , A=[5,4,9] C=1 , END
</scratch>
1549
| 1549 |
Input:
963+997
Target:
| Input:
963+997
Target:
<scratch>
[9,6,3] has 3 digits.
[9,9,7] has 3 digits.
[9,6,3] + [9,9,7] , A=[] , C=0 , 3+7+0=10 , A->0 , C->1
[9,6] + [9,9] , A=[0] , C=1 , 6+9+1=16 , A->6 , C->1
[9] + [9] , A=[6,0] , C=1 , 9+9+1=19 , A->9 , C->1
[] + [] , A=[9,6,0] C=1 , END
</scratch>
1960
| 1960 |
Input:
591+280
Target:
| Input:
591+280
Target:
<scratch>
[5,9,1] has 3 digits.
[2,8,0] has 3 digits.
[5,9,1] + [2,8,0] , A=[] , C=0 , 1+0+0=1 , A->1 , C->0
[5,9] + [2,8] , A=[1] , C=0 , 9+8+0=17 , A->7 , C->1
[5] + [2] , A=[7,1] , C=1 , 5+2+1=8 , A->8 , C->0
[] + [] , A=[8,7,1] C=0 , END
</scratch>
871
| 871 |
Input:
826+60
Target:
| Input:
826+60
Target:
<scratch>
[8,2,6] has 3 digits.
[6,0] has 2 digits.
[8,2,6] + [6,0] , A=[] , C=0 , 6+0+0=6 , A->6 , C->0
[8,2] + [6] , A=[6] , C=0 , 2+6+0=8 , A->8 , C->0
[8] + [] , A=[8,6] , C=0 , 8+0+0=8 , A->8 , C->0
[] + [] , A=[8,8,6] C=0 , END
</scratch>
886
| 886 |
Input:
76+917
Target:
| Input:
76+917
Target:
<scratch>
[7,6] has 2 digits.
[9,1,7] has 3 digits.
[7,6] + [9,1,7] , A=[] , C=0 , 6+7+0=13 , A->3 , C->1
[7] + [9,1] , A=[3] , C=1 , 7+1+1=9 , A->9 , C->0
[] + [9] , A=[9,3] , C=0 , 0+9+0=9 , A->9 , C->0
[] + [] , A=[9,9,3] C=0 , END
</scratch>
993
| 993 |
Input:
818+443
Target:
| Input:
818+443
Target:
<scratch>
[8,1,8] has 3 digits.
[4,4,3] has 3 digits.
[8,1,8] + [4,4,3] , A=[] , C=0 , 8+3+0=11 , A->1 , C->1
[8,1] + [4,4] , A=[1] , C=1 , 1+4+1=6 , A->6 , C->0
[8] + [4] , A=[6,1] , C=0 , 8+4+0=12 , A->2 , C->1
[] + [] , A=[2,6,1] C=1 , END
</scratch>
1261
| 1261 |
Input:
492+768
Target:
| Input:
492+768
Target:
<scratch>
[4,9,2] has 3 digits.
[7,6,8] has 3 digits.
[4,9,2] + [7,6,8] , A=[] , C=0 , 2+8+0=10 , A->0 , C->1
[4,9] + [7,6] , A=[0] , C=1 , 9+6+1=16 , A->6 , C->1
[4] + [7] , A=[6,0] , C=1 , 4+7+1=12 , A->2 , C->1
[] + [] , A=[2,6,0] C=1 , END
</scratch>
1260
| 1260 |
Input:
990+434
Target:
| Input:
990+434
Target:
<scratch>
[9,9,0] has 3 digits.
[4,3,4] has 3 digits.
[9,9,0] + [4,3,4] , A=[] , C=0 , 0+4+0=4 , A->4 , C->0
[9,9] + [4,3] , A=[4] , C=0 , 9+3+0=12 , A->2 , C->1
[9] + [4] , A=[2,4] , C=1 , 9+4+1=14 , A->4 , C->1
[] + [] , A=[4,2,4] C=1 , END
</scratch>
1424
| 1424 |
Input:
816+60
Target:
| Input:
816+60
Target:
<scratch>
[8,1,6] has 3 digits.
[6,0] has 2 digits.
[8,1,6] + [6,0] , A=[] , C=0 , 6+0+0=6 , A->6 , C->0
[8,1] + [6] , A=[6] , C=0 , 1+6+0=7 , A->7 , C->0
[8] + [] , A=[7,6] , C=0 , 8+0+0=8 , A->8 , C->0
[] + [] , A=[8,7,6] C=0 , END
</scratch>
876
| 876 |
Input:
800+666
Target:
| Input:
800+666
Target:
<scratch>
[8,0,0] has 3 digits.
[6,6,6] has 3 digits.
[8,0,0] + [6,6,6] , A=[] , C=0 , 0+6+0=6 , A->6 , C->0
[8,0] + [6,6] , A=[6] , C=0 , 0+6+0=6 , A->6 , C->0
[8] + [6] , A=[6,6] , C=0 , 8+6+0=14 , A->4 , C->1
[] + [] , A=[4,6,6] C=1 , END
</scratch>
1466
| 1466 |
Input:
851+111
Target:
| Input:
851+111
Target:
<scratch>
[8,5,1] has 3 digits.
[1,1,1] has 3 digits.
[8,5,1] + [1,1,1] , A=[] , C=0 , 1+1+0=2 , A->2 , C->0
[8,5] + [1,1] , A=[2] , C=0 , 5+1+0=6 , A->6 , C->0
[8] + [1] , A=[6,2] , C=0 , 8+1+0=9 , A->9 , C->0
[] + [] , A=[9,6,2] C=0 , END
</scratch>
962
| 962 |
Input:
128+64
Target:
| Input:
128+64
Target:
<scratch>
[1,2,8] has 3 digits.
[6,4] has 2 digits.
[1,2,8] + [6,4] , A=[] , C=0 , 8+4+0=12 , A->2 , C->1
[1,2] + [6] , A=[2] , C=1 , 2+6+1=9 , A->9 , C->0
[1] + [] , A=[9,2] , C=0 , 1+0+0=1 , A->1 , C->0
[] + [] , A=[1,9,2] C=0 , END
</scratch>
192
| 192 |
Input:
553+857
Target:
| Input:
553+857
Target:
<scratch>
[5,5,3] has 3 digits.
[8,5,7] has 3 digits.
[5,5,3] + [8,5,7] , A=[] , C=0 , 3+7+0=10 , A->0 , C->1
[5,5] + [8,5] , A=[0] , C=1 , 5+5+1=11 , A->1 , C->1
[5] + [8] , A=[1,0] , C=1 , 5+8+1=14 , A->4 , C->1
[] + [] , A=[4,1,0] C=1 , END
</scratch>
1410
| 1410 |
Input:
173+370
Target:
| Input:
173+370
Target:
<scratch>
[1,7,3] has 3 digits.
[3,7,0] has 3 digits.
[1,7,3] + [3,7,0] , A=[] , C=0 , 3+0+0=3 , A->3 , C->0
[1,7] + [3,7] , A=[3] , C=0 , 7+7+0=14 , A->4 , C->1
[1] + [3] , A=[4,3] , C=1 , 1+3+1=5 , A->5 , C->0
[] + [] , A=[5,4,3] C=0 , END
</scratch>
543
| 543 |
Input:
739+647
Target:
| Input:
739+647
Target:
<scratch>
[7,3,9] has 3 digits.
[6,4,7] has 3 digits.
[7,3,9] + [6,4,7] , A=[] , C=0 , 9+7+0=16 , A->6 , C->1
[7,3] + [6,4] , A=[6] , C=1 , 3+4+1=8 , A->8 , C->0
[7] + [6] , A=[8,6] , C=0 , 7+6+0=13 , A->3 , C->1
[] + [] , A=[3,8,6] C=1 , END
</scratch>
1386
| 1386 |
Input:
814+770
Target:
| Input:
814+770
Target:
<scratch>
[8,1,4] has 3 digits.
[7,7,0] has 3 digits.
[8,1,4] + [7,7,0] , A=[] , C=0 , 4+0+0=4 , A->4 , C->0
[8,1] + [7,7] , A=[4] , C=0 , 1+7+0=8 , A->8 , C->0
[8] + [7] , A=[8,4] , C=0 , 8+7+0=15 , A->5 , C->1
[] + [] , A=[5,8,4] C=1 , END
</scratch>
1584
| 1584 |
Input:
799+673
Target:
| Input:
799+673
Target:
<scratch>
[7,9,9] has 3 digits.
[6,7,3] has 3 digits.
[7,9,9] + [6,7,3] , A=[] , C=0 , 9+3+0=12 , A->2 , C->1
[7,9] + [6,7] , A=[2] , C=1 , 9+7+1=17 , A->7 , C->1
[7] + [6] , A=[7,2] , C=1 , 7+6+1=14 , A->4 , C->1
[] + [] , A=[4,7,2] C=1 , END
</scratch>
1472
| 1472 |
Input:
734+861
Target:
| Input:
734+861
Target:
<scratch>
[7,3,4] has 3 digits.
[8,6,1] has 3 digits.
[7,3,4] + [8,6,1] , A=[] , C=0 , 4+1+0=5 , A->5 , C->0
[7,3] + [8,6] , A=[5] , C=0 , 3+6+0=9 , A->9 , C->0
[7] + [8] , A=[9,5] , C=0 , 7+8+0=15 , A->5 , C->1
[] + [] , A=[5,9,5] C=1 , END
</scratch>
1595
| 1595 |
Input:
434+360
Target:
| Input:
434+360
Target:
<scratch>
[4,3,4] has 3 digits.
[3,6,0] has 3 digits.
[4,3,4] + [3,6,0] , A=[] , C=0 , 4+0+0=4 , A->4 , C->0
[4,3] + [3,6] , A=[4] , C=0 , 3+6+0=9 , A->9 , C->0
[4] + [3] , A=[9,4] , C=0 , 4+3+0=7 , A->7 , C->0
[] + [] , A=[7,9,4] C=0 , END
</scratch>
794
| 794 |
Input:
355+331
Target:
| Input:
355+331
Target:
<scratch>
[3,5,5] has 3 digits.
[3,3,1] has 3 digits.
[3,5,5] + [3,3,1] , A=[] , C=0 , 5+1+0=6 , A->6 , C->0
[3,5] + [3,3] , A=[6] , C=0 , 5+3+0=8 , A->8 , C->0
[3] + [3] , A=[8,6] , C=0 , 3+3+0=6 , A->6 , C->0
[] + [] , A=[6,8,6] C=0 , END
</scratch>
686
| 686 |
Input:
426+196
Target:
| Input:
426+196
Target:
<scratch>
[4,2,6] has 3 digits.
[1,9,6] has 3 digits.
[4,2,6] + [1,9,6] , A=[] , C=0 , 6+6+0=12 , A->2 , C->1
[4,2] + [1,9] , A=[2] , C=1 , 2+9+1=12 , A->2 , C->1
[4] + [1] , A=[2,2] , C=1 , 4+1+1=6 , A->6 , C->0
[] + [] , A=[6,2,2] C=0 , END
</scratch>
622
| 622 |
Input:
256+619
Target:
| Input:
256+619
Target:
<scratch>
[2,5,6] has 3 digits.
[6,1,9] has 3 digits.
[2,5,6] + [6,1,9] , A=[] , C=0 , 6+9+0=15 , A->5 , C->1
[2,5] + [6,1] , A=[5] , C=1 , 5+1+1=7 , A->7 , C->0
[2] + [6] , A=[7,5] , C=0 , 2+6+0=8 , A->8 , C->0
[] + [] , A=[8,7,5] C=0 , END
</scratch>
875
| 875 |
Input:
815+330
Target:
| Input:
815+330
Target:
<scratch>
[8,1,5] has 3 digits.
[3,3,0] has 3 digits.
[8,1,5] + [3,3,0] , A=[] , C=0 , 5+0+0=5 , A->5 , C->0
[8,1] + [3,3] , A=[5] , C=0 , 1+3+0=4 , A->4 , C->0
[8] + [3] , A=[4,5] , C=0 , 8+3+0=11 , A->1 , C->1
[] + [] , A=[1,4,5] C=1 , END
</scratch>
1145
| 1145 |
Input:
479+887
Target:
| Input:
479+887
Target:
<scratch>
[4,7,9] has 3 digits.
[8,8,7] has 3 digits.
[4,7,9] + [8,8,7] , A=[] , C=0 , 9+7+0=16 , A->6 , C->1
[4,7] + [8,8] , A=[6] , C=1 , 7+8+1=16 , A->6 , C->1
[4] + [8] , A=[6,6] , C=1 , 4+8+1=13 , A->3 , C->1
[] + [] , A=[3,6,6] C=1 , END
</scratch>
1366
| 1366 |
Input:
728+345
Target:
| Input:
728+345
Target:
<scratch>
[7,2,8] has 3 digits.
[3,4,5] has 3 digits.
[7,2,8] + [3,4,5] , A=[] , C=0 , 8+5+0=13 , A->3 , C->1
[7,2] + [3,4] , A=[3] , C=1 , 2+4+1=7 , A->7 , C->0
[7] + [3] , A=[7,3] , C=0 , 7+3+0=10 , A->0 , C->1
[] + [] , A=[0,7,3] C=1 , END
</scratch>
1073
| 1073 |
Input:
754+392
Target:
| Input:
754+392
Target:
<scratch>
[7,5,4] has 3 digits.
[3,9,2] has 3 digits.
[7,5,4] + [3,9,2] , A=[] , C=0 , 4+2+0=6 , A->6 , C->0
[7,5] + [3,9] , A=[6] , C=0 , 5+9+0=14 , A->4 , C->1
[7] + [3] , A=[4,6] , C=1 , 7+3+1=11 , A->1 , C->1
[] + [] , A=[1,4,6] C=1 , END
</scratch>
1146
| 1146 |
Input:
188+471
Target:
| Input:
188+471
Target:
<scratch>
[1,8,8] has 3 digits.
[4,7,1] has 3 digits.
[1,8,8] + [4,7,1] , A=[] , C=0 , 8+1+0=9 , A->9 , C->0
[1,8] + [4,7] , A=[9] , C=0 , 8+7+0=15 , A->5 , C->1
[1] + [4] , A=[5,9] , C=1 , 1+4+1=6 , A->6 , C->0
[] + [] , A=[6,5,9] C=0 , END
</scratch>
659
| 659 |
Input:
272+552
Target:
| Input:
272+552
Target:
<scratch>
[2,7,2] has 3 digits.
[5,5,2] has 3 digits.
[2,7,2] + [5,5,2] , A=[] , C=0 , 2+2+0=4 , A->4 , C->0
[2,7] + [5,5] , A=[4] , C=0 , 7+5+0=12 , A->2 , C->1
[2] + [5] , A=[2,4] , C=1 , 2+5+1=8 , A->8 , C->0
[] + [] , A=[8,2,4] C=0 , END
</scratch>
824
| 824 |
Input:
971+781
Target:
| Input:
971+781
Target:
<scratch>
[9,7,1] has 3 digits.
[7,8,1] has 3 digits.
[9,7,1] + [7,8,1] , A=[] , C=0 , 1+1+0=2 , A->2 , C->0
[9,7] + [7,8] , A=[2] , C=0 , 7+8+0=15 , A->5 , C->1
[9] + [7] , A=[5,2] , C=1 , 9+7+1=17 , A->7 , C->1
[] + [] , A=[7,5,2] C=1 , END
</scratch>
1752
| 1752 |
Input:
737+457
Target:
| Input:
737+457
Target:
<scratch>
[7,3,7] has 3 digits.
[4,5,7] has 3 digits.
[7,3,7] + [4,5,7] , A=[] , C=0 , 7+7+0=14 , A->4 , C->1
[7,3] + [4,5] , A=[4] , C=1 , 3+5+1=9 , A->9 , C->0
[7] + [4] , A=[9,4] , C=0 , 7+4+0=11 , A->1 , C->1
[] + [] , A=[1,9,4] C=1 , END
</scratch>
1194
| 1194 |
Input:
133+65
Target:
| Input:
133+65
Target:
<scratch>
[1,3,3] has 3 digits.
[6,5] has 2 digits.
[1,3,3] + [6,5] , A=[] , C=0 , 3+5+0=8 , A->8 , C->0
[1,3] + [6] , A=[8] , C=0 , 3+6+0=9 , A->9 , C->0
[1] + [] , A=[9,8] , C=0 , 1+0+0=1 , A->1 , C->0
[] + [] , A=[1,9,8] C=0 , END
</scratch>
198
| 198 |
Input:
455+104
Target:
| Input:
455+104
Target:
<scratch>
[4,5,5] has 3 digits.
[1,0,4] has 3 digits.
[4,5,5] + [1,0,4] , A=[] , C=0 , 5+4+0=9 , A->9 , C->0
[4,5] + [1,0] , A=[9] , C=0 , 5+0+0=5 , A->5 , C->0
[4] + [1] , A=[5,9] , C=0 , 4+1+0=5 , A->5 , C->0
[] + [] , A=[5,5,9] C=0 , END
</scratch>
559
| 559 |
Input:
702+314
Target:
| Input:
702+314
Target:
<scratch>
[7,0,2] has 3 digits.
[3,1,4] has 3 digits.
[7,0,2] + [3,1,4] , A=[] , C=0 , 2+4+0=6 , A->6 , C->0
[7,0] + [3,1] , A=[6] , C=0 , 0+1+0=1 , A->1 , C->0
[7] + [3] , A=[1,6] , C=0 , 7+3+0=10 , A->0 , C->1
[] + [] , A=[0,1,6] C=1 , END
</scratch>
1016
| 1016 |
Input:
256+174
Target:
| Input:
256+174
Target:
<scratch>
[2,5,6] has 3 digits.
[1,7,4] has 3 digits.
[2,5,6] + [1,7,4] , A=[] , C=0 , 6+4+0=10 , A->0 , C->1
[2,5] + [1,7] , A=[0] , C=1 , 5+7+1=13 , A->3 , C->1
[2] + [1] , A=[3,0] , C=1 , 2+1+1=4 , A->4 , C->0
[] + [] , A=[4,3,0] C=0 , END
</scratch>
430
| 430 |
Input:
880+41
Target:
| Input:
880+41
Target:
<scratch>
[8,8,0] has 3 digits.
[4,1] has 2 digits.
[8,8,0] + [4,1] , A=[] , C=0 , 0+1+0=1 , A->1 , C->0
[8,8] + [4] , A=[1] , C=0 , 8+4+0=12 , A->2 , C->1
[8] + [] , A=[2,1] , C=1 , 8+0+1=9 , A->9 , C->0
[] + [] , A=[9,2,1] C=0 , END
</scratch>
921
| 921 |
Input:
845+789
Target:
| Input:
845+789
Target:
<scratch>
[8,4,5] has 3 digits.
[7,8,9] has 3 digits.
[8,4,5] + [7,8,9] , A=[] , C=0 , 5+9+0=14 , A->4 , C->1
[8,4] + [7,8] , A=[4] , C=1 , 4+8+1=13 , A->3 , C->1
[8] + [7] , A=[3,4] , C=1 , 8+7+1=16 , A->6 , C->1
[] + [] , A=[6,3,4] C=1 , END
</scratch>
1634
| 1634 |
Input:
624+531
Target:
| Input:
624+531
Target:
<scratch>
[6,2,4] has 3 digits.
[5,3,1] has 3 digits.
[6,2,4] + [5,3,1] , A=[] , C=0 , 4+1+0=5 , A->5 , C->0
[6,2] + [5,3] , A=[5] , C=0 , 2+3+0=5 , A->5 , C->0
[6] + [5] , A=[5,5] , C=0 , 6+5+0=11 , A->1 , C->1
[] + [] , A=[1,5,5] C=1 , END
</scratch>
1155
| 1155 |
Input:
152+603
Target:
| Input:
152+603
Target:
<scratch>
[1,5,2] has 3 digits.
[6,0,3] has 3 digits.
[1,5,2] + [6,0,3] , A=[] , C=0 , 2+3+0=5 , A->5 , C->0
[1,5] + [6,0] , A=[5] , C=0 , 5+0+0=5 , A->5 , C->0
[1] + [6] , A=[5,5] , C=0 , 1+6+0=7 , A->7 , C->0
[] + [] , A=[7,5,5] C=0 , END
</scratch>
755
| 755 |
Input:
936+97
Target:
| Input:
936+97
Target:
<scratch>
[9,3,6] has 3 digits.
[9,7] has 2 digits.
[9,3,6] + [9,7] , A=[] , C=0 , 6+7+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:
685+834
Target:
| Input:
685+834
Target:
<scratch>
[6,8,5] has 3 digits.
[8,3,4] has 3 digits.
[6,8,5] + [8,3,4] , A=[] , C=0 , 5+4+0=9 , A->9 , C->0
[6,8] + [8,3] , A=[9] , C=0 , 8+3+0=11 , A->1 , C->1
[6] + [8] , A=[1,9] , C=1 , 6+8+1=15 , A->5 , C->1
[] + [] , A=[5,1,9] C=1 , END
</scratch>
1519
| 1519 |
Input:
178+646
Target:
| Input:
178+646
Target:
<scratch>
[1,7,8] has 3 digits.
[6,4,6] has 3 digits.
[1,7,8] + [6,4,6] , A=[] , C=0 , 8+6+0=14 , A->4 , C->1
[1,7] + [6,4] , A=[4] , C=1 , 7+4+1=12 , A->2 , C->1
[1] + [6] , A=[2,4] , C=1 , 1+6+1=8 , A->8 , C->0
[] + [] , A=[8,2,4] C=0 , END
</scratch>
824
| 824 |
Input:
191+931
Target:
| Input:
191+931
Target:
<scratch>
[1,9,1] has 3 digits.
[9,3,1] has 3 digits.
[1,9,1] + [9,3,1] , A=[] , C=0 , 1+1+0=2 , A->2 , C->0
[1,9] + [9,3] , A=[2] , C=0 , 9+3+0=12 , A->2 , C->1
[1] + [9] , A=[2,2] , C=1 , 1+9+1=11 , A->1 , C->1
[] + [] , A=[1,2,2] C=1 , END
</scratch>
1122
| 1122 |
Input:
714+845
Target:
| Input:
714+845
Target:
<scratch>
[7,1,4] has 3 digits.
[8,4,5] has 3 digits.
[7,1,4] + [8,4,5] , A=[] , C=0 , 4+5+0=9 , A->9 , C->0
[7,1] + [8,4] , A=[9] , C=0 , 1+4+0=5 , A->5 , C->0
[7] + [8] , A=[5,9] , C=0 , 7+8+0=15 , A->5 , C->1
[] + [] , A=[5,5,9] C=1 , END
</scratch>
1559
| 1559 |
Input:
598+728
Target:
| Input:
598+728
Target:
<scratch>
[5,9,8] has 3 digits.
[7,2,8] has 3 digits.
[5,9,8] + [7,2,8] , A=[] , C=0 , 8+8+0=16 , A->6 , C->1
[5,9] + [7,2] , A=[6] , C=1 , 9+2+1=12 , A->2 , C->1
[5] + [7] , A=[2,6] , C=1 , 5+7+1=13 , A->3 , C->1
[] + [] , A=[3,2,6] C=1 , END
</scratch>
1326
| 1326 |
Input:
787+602
Target:
| Input:
787+602
Target:
<scratch>
[7,8,7] has 3 digits.
[6,0,2] has 3 digits.
[7,8,7] + [6,0,2] , A=[] , C=0 , 7+2+0=9 , A->9 , C->0
[7,8] + [6,0] , A=[9] , C=0 , 8+0+0=8 , A->8 , C->0
[7] + [6] , A=[8,9] , C=0 , 7+6+0=13 , A->3 , C->1
[] + [] , A=[3,8,9] C=1 , END
</scratch>
1389
| 1389 |
Input:
874+713
Target:
| Input:
874+713
Target:
<scratch>
[8,7,4] has 3 digits.
[7,1,3] has 3 digits.
[8,7,4] + [7,1,3] , A=[] , C=0 , 4+3+0=7 , A->7 , C->0
[8,7] + [7,1] , A=[7] , C=0 , 7+1+0=8 , A->8 , C->0
[8] + [7] , A=[8,7] , C=0 , 8+7+0=15 , A->5 , C->1
[] + [] , A=[5,8,7] C=1 , END
</scratch>
1587
| 1587 |
Input:
485+927
Target:
| Input:
485+927
Target:
<scratch>
[4,8,5] has 3 digits.
[9,2,7] has 3 digits.
[4,8,5] + [9,2,7] , A=[] , C=0 , 5+7+0=12 , A->2 , C->1
[4,8] + [9,2] , A=[2] , C=1 , 8+2+1=11 , A->1 , C->1
[4] + [9] , A=[1,2] , C=1 , 4+9+1=14 , A->4 , C->1
[] + [] , A=[4,1,2] C=1 , END
</scratch>
1412
| 1412 |
Input:
874+850
Target:
| Input:
874+850
Target:
<scratch>
[8,7,4] has 3 digits.
[8,5,0] has 3 digits.
[8,7,4] + [8,5,0] , A=[] , C=0 , 4+0+0=4 , A->4 , C->0
[8,7] + [8,5] , A=[4] , C=0 , 7+5+0=12 , A->2 , C->1
[8] + [8] , A=[2,4] , C=1 , 8+8+1=17 , A->7 , C->1
[] + [] , A=[7,2,4] C=1 , END
</scratch>
1724
| 1724 |
Input:
147+573
Target:
| Input:
147+573
Target:
<scratch>
[1,4,7] has 3 digits.
[5,7,3] has 3 digits.
[1,4,7] + [5,7,3] , A=[] , C=0 , 7+3+0=10 , A->0 , C->1
[1,4] + [5,7] , A=[0] , C=1 , 4+7+1=12 , A->2 , C->1
[1] + [5] , A=[2,0] , C=1 , 1+5+1=7 , A->7 , C->0
[] + [] , A=[7,2,0] C=0 , END
</scratch>
720
| 720 |
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