input_test
stringlengths 19
23
| scratchpad
stringlengths 151
283
| result_final
stringlengths 1
4
|
|---|---|---|
Input:
895+429
Target:
| Input:
895+429
Target:
<scratch>
[8,9,5] has 3 digits.
[4,2,9] has 3 digits.
[8,9,5] + [4,2,9] , A=[] , C=0 , 5+9+0=14 , A->4 , C->1
[8,9] + [4,2] , A=[4] , C=1 , 9+2+1=12 , A->2 , C->1
[8] + [4] , A=[2,4] , C=1 , 8+4+1=13 , A->3 , C->1
[] + [] , A=[3,2,4] C=1 , END
</scratch>
1324
| 1324 |
Input:
356+541
Target:
| Input:
356+541
Target:
<scratch>
[3,5,6] has 3 digits.
[5,4,1] has 3 digits.
[3,5,6] + [5,4,1] , A=[] , C=0 , 6+1+0=7 , A->7 , C->0
[3,5] + [5,4] , A=[7] , C=0 , 5+4+0=9 , A->9 , C->0
[3] + [5] , A=[9,7] , C=0 , 3+5+0=8 , A->8 , C->0
[] + [] , A=[8,9,7] C=0 , END
</scratch>
897
| 897 |
Input:
128+851
Target:
| Input:
128+851
Target:
<scratch>
[1,2,8] has 3 digits.
[8,5,1] has 3 digits.
[1,2,8] + [8,5,1] , A=[] , C=0 , 8+1+0=9 , A->9 , C->0
[1,2] + [8,5] , A=[9] , C=0 , 2+5+0=7 , A->7 , C->0
[1] + [8] , A=[7,9] , C=0 , 1+8+0=9 , A->9 , C->0
[] + [] , A=[9,7,9] C=0 , END
</scratch>
979
| 979 |
Input:
609+895
Target:
| Input:
609+895
Target:
<scratch>
[6,0,9] has 3 digits.
[8,9,5] has 3 digits.
[6,0,9] + [8,9,5] , A=[] , C=0 , 9+5+0=14 , A->4 , C->1
[6,0] + [8,9] , A=[4] , C=1 , 0+9+1=10 , A->0 , C->1
[6] + [8] , A=[0,4] , C=1 , 6+8+1=15 , A->5 , C->1
[] + [] , A=[5,0,4] C=1 , END
</scratch>
1504
| 1504 |
Input:
858+678
Target:
| Input:
858+678
Target:
<scratch>
[8,5,8] has 3 digits.
[6,7,8] has 3 digits.
[8,5,8] + [6,7,8] , A=[] , C=0 , 8+8+0=16 , A->6 , C->1
[8,5] + [6,7] , A=[6] , C=1 , 5+7+1=13 , A->3 , C->1
[8] + [6] , A=[3,6] , C=1 , 8+6+1=15 , A->5 , C->1
[] + [] , A=[5,3,6] C=1 , END
</scratch>
1536
| 1536 |
Input:
382+889
Target:
| Input:
382+889
Target:
<scratch>
[3,8,2] has 3 digits.
[8,8,9] has 3 digits.
[3,8,2] + [8,8,9] , A=[] , C=0 , 2+9+0=11 , A->1 , C->1
[3,8] + [8,8] , A=[1] , C=1 , 8+8+1=17 , A->7 , C->1
[3] + [8] , A=[7,1] , C=1 , 3+8+1=12 , A->2 , C->1
[] + [] , A=[2,7,1] C=1 , END
</scratch>
1271
| 1271 |
Input:
244+552
Target:
| Input:
244+552
Target:
<scratch>
[2,4,4] has 3 digits.
[5,5,2] has 3 digits.
[2,4,4] + [5,5,2] , A=[] , C=0 , 4+2+0=6 , A->6 , C->0
[2,4] + [5,5] , A=[6] , C=0 , 4+5+0=9 , A->9 , C->0
[2] + [5] , A=[9,6] , C=0 , 2+5+0=7 , A->7 , C->0
[] + [] , A=[7,9,6] C=0 , END
</scratch>
796
| 796 |
Input:
14+542
Target:
| Input:
14+542
Target:
<scratch>
[1,4] has 2 digits.
[5,4,2] has 3 digits.
[1,4] + [5,4,2] , A=[] , C=0 , 4+2+0=6 , A->6 , C->0
[1] + [5,4] , A=[6] , C=0 , 1+4+0=5 , A->5 , C->0
[] + [5] , A=[5,6] , C=0 , 0+5+0=5 , A->5 , C->0
[] + [] , A=[5,5,6] C=0 , END
</scratch>
556
| 556 |
Input:
104+998
Target:
| Input:
104+998
Target:
<scratch>
[1,0,4] has 3 digits.
[9,9,8] has 3 digits.
[1,0,4] + [9,9,8] , A=[] , C=0 , 4+8+0=12 , A->2 , C->1
[1,0] + [9,9] , A=[2] , C=1 , 0+9+1=10 , A->0 , C->1
[1] + [9] , A=[0,2] , C=1 , 1+9+1=11 , A->1 , C->1
[] + [] , A=[1,0,2] C=1 , END
</scratch>
1102
| 1102 |
Input:
750+3
Target:
| Input:
750+3
Target:
<scratch>
[7,5,0] has 3 digits.
[3] has 1 digits.
[7,5,0] + [3] , A=[] , C=0 , 0+3+0=3 , A->3 , C->0
[7,5] + [] , A=[3] , C=0 , 5+0+0=5 , A->5 , C->0
[7] + [] , A=[5,3] , C=0 , 7+0+0=7 , A->7 , C->0
[] + [] , A=[7,5,3] C=0 , END
</scratch>
753
| 753 |
Input:
555+558
Target:
| Input:
555+558
Target:
<scratch>
[5,5,5] has 3 digits.
[5,5,8] has 3 digits.
[5,5,5] + [5,5,8] , A=[] , C=0 , 5+8+0=13 , A->3 , C->1
[5,5] + [5,5] , A=[3] , C=1 , 5+5+1=11 , A->1 , C->1
[5] + [5] , A=[1,3] , C=1 , 5+5+1=11 , A->1 , C->1
[] + [] , A=[1,1,3] C=1 , END
</scratch>
1113
| 1113 |
Input:
528+71
Target:
| Input:
528+71
Target:
<scratch>
[5,2,8] has 3 digits.
[7,1] has 2 digits.
[5,2,8] + [7,1] , A=[] , C=0 , 8+1+0=9 , A->9 , C->0
[5,2] + [7] , A=[9] , C=0 , 2+7+0=9 , A->9 , C->0
[5] + [] , A=[9,9] , C=0 , 5+0+0=5 , A->5 , C->0
[] + [] , A=[5,9,9] C=0 , END
</scratch>
599
| 599 |
Input:
763+549
Target:
| Input:
763+549
Target:
<scratch>
[7,6,3] has 3 digits.
[5,4,9] has 3 digits.
[7,6,3] + [5,4,9] , A=[] , C=0 , 3+9+0=12 , A->2 , C->1
[7,6] + [5,4] , A=[2] , C=1 , 6+4+1=11 , A->1 , C->1
[7] + [5] , A=[1,2] , C=1 , 7+5+1=13 , A->3 , C->1
[] + [] , A=[3,1,2] C=1 , END
</scratch>
1312
| 1312 |
Input:
300+684
Target:
| Input:
300+684
Target:
<scratch>
[3,0,0] has 3 digits.
[6,8,4] has 3 digits.
[3,0,0] + [6,8,4] , A=[] , C=0 , 0+4+0=4 , A->4 , C->0
[3,0] + [6,8] , A=[4] , C=0 , 0+8+0=8 , A->8 , C->0
[3] + [6] , A=[8,4] , C=0 , 3+6+0=9 , A->9 , C->0
[] + [] , A=[9,8,4] C=0 , END
</scratch>
984
| 984 |
Input:
563+224
Target:
| Input:
563+224
Target:
<scratch>
[5,6,3] has 3 digits.
[2,2,4] has 3 digits.
[5,6,3] + [2,2,4] , A=[] , C=0 , 3+4+0=7 , A->7 , C->0
[5,6] + [2,2] , A=[7] , C=0 , 6+2+0=8 , A->8 , C->0
[5] + [2] , A=[8,7] , C=0 , 5+2+0=7 , A->7 , C->0
[] + [] , A=[7,8,7] C=0 , END
</scratch>
787
| 787 |
Input:
645+997
Target:
| Input:
645+997
Target:
<scratch>
[6,4,5] has 3 digits.
[9,9,7] has 3 digits.
[6,4,5] + [9,9,7] , A=[] , C=0 , 5+7+0=12 , A->2 , C->1
[6,4] + [9,9] , A=[2] , C=1 , 4+9+1=14 , A->4 , C->1
[6] + [9] , A=[4,2] , C=1 , 6+9+1=16 , A->6 , C->1
[] + [] , A=[6,4,2] C=1 , END
</scratch>
1642
| 1642 |
Input:
130+305
Target:
| Input:
130+305
Target:
<scratch>
[1,3,0] has 3 digits.
[3,0,5] has 3 digits.
[1,3,0] + [3,0,5] , A=[] , C=0 , 0+5+0=5 , A->5 , C->0
[1,3] + [3,0] , A=[5] , C=0 , 3+0+0=3 , A->3 , C->0
[1] + [3] , A=[3,5] , C=0 , 1+3+0=4 , A->4 , C->0
[] + [] , A=[4,3,5] C=0 , END
</scratch>
435
| 435 |
Input:
802+191
Target:
| Input:
802+191
Target:
<scratch>
[8,0,2] has 3 digits.
[1,9,1] has 3 digits.
[8,0,2] + [1,9,1] , A=[] , C=0 , 2+1+0=3 , A->3 , C->0
[8,0] + [1,9] , A=[3] , C=0 , 0+9+0=9 , A->9 , C->0
[8] + [1] , A=[9,3] , C=0 , 8+1+0=9 , A->9 , C->0
[] + [] , A=[9,9,3] C=0 , END
</scratch>
993
| 993 |
Input:
451+28
Target:
| Input:
451+28
Target:
<scratch>
[4,5,1] has 3 digits.
[2,8] has 2 digits.
[4,5,1] + [2,8] , A=[] , C=0 , 1+8+0=9 , A->9 , C->0
[4,5] + [2] , A=[9] , C=0 , 5+2+0=7 , A->7 , C->0
[4] + [] , A=[7,9] , C=0 , 4+0+0=4 , A->4 , C->0
[] + [] , A=[4,7,9] C=0 , END
</scratch>
479
| 479 |
Input:
996+445
Target:
| Input:
996+445
Target:
<scratch>
[9,9,6] has 3 digits.
[4,4,5] has 3 digits.
[9,9,6] + [4,4,5] , A=[] , C=0 , 6+5+0=11 , A->1 , C->1
[9,9] + [4,4] , A=[1] , C=1 , 9+4+1=14 , A->4 , C->1
[9] + [4] , A=[4,1] , C=1 , 9+4+1=14 , A->4 , C->1
[] + [] , A=[4,4,1] C=1 , END
</scratch>
1441
| 1441 |
Input:
120+415
Target:
| Input:
120+415
Target:
<scratch>
[1,2,0] has 3 digits.
[4,1,5] has 3 digits.
[1,2,0] + [4,1,5] , A=[] , C=0 , 0+5+0=5 , A->5 , C->0
[1,2] + [4,1] , A=[5] , C=0 , 2+1+0=3 , A->3 , C->0
[1] + [4] , A=[3,5] , C=0 , 1+4+0=5 , A->5 , C->0
[] + [] , A=[5,3,5] C=0 , END
</scratch>
535
| 535 |
Input:
699+337
Target:
| Input:
699+337
Target:
<scratch>
[6,9,9] has 3 digits.
[3,3,7] has 3 digits.
[6,9,9] + [3,3,7] , A=[] , C=0 , 9+7+0=16 , A->6 , C->1
[6,9] + [3,3] , A=[6] , C=1 , 9+3+1=13 , A->3 , C->1
[6] + [3] , A=[3,6] , C=1 , 6+3+1=10 , A->0 , C->1
[] + [] , A=[0,3,6] C=1 , END
</scratch>
1036
| 1036 |
Input:
322+550
Target:
| Input:
322+550
Target:
<scratch>
[3,2,2] has 3 digits.
[5,5,0] has 3 digits.
[3,2,2] + [5,5,0] , A=[] , C=0 , 2+0+0=2 , A->2 , C->0
[3,2] + [5,5] , A=[2] , C=0 , 2+5+0=7 , A->7 , C->0
[3] + [5] , A=[7,2] , C=0 , 3+5+0=8 , A->8 , C->0
[] + [] , A=[8,7,2] C=0 , END
</scratch>
872
| 872 |
Input:
67+989
Target:
| Input:
67+989
Target:
<scratch>
[6,7] has 2 digits.
[9,8,9] has 3 digits.
[6,7] + [9,8,9] , A=[] , C=0 , 7+9+0=16 , A->6 , C->1
[6] + [9,8] , A=[6] , C=1 , 6+8+1=15 , A->5 , C->1
[] + [9] , A=[5,6] , C=1 , 0+9+1=10 , A->0 , C->1
[] + [] , A=[0,5,6] C=1 , END
</scratch>
1056
| 1056 |
Input:
814+288
Target:
| Input:
814+288
Target:
<scratch>
[8,1,4] has 3 digits.
[2,8,8] has 3 digits.
[8,1,4] + [2,8,8] , A=[] , C=0 , 4+8+0=12 , A->2 , C->1
[8,1] + [2,8] , A=[2] , C=1 , 1+8+1=10 , A->0 , C->1
[8] + [2] , A=[0,2] , C=1 , 8+2+1=11 , A->1 , C->1
[] + [] , A=[1,0,2] C=1 , END
</scratch>
1102
| 1102 |
Input:
482+415
Target:
| Input:
482+415
Target:
<scratch>
[4,8,2] has 3 digits.
[4,1,5] has 3 digits.
[4,8,2] + [4,1,5] , A=[] , C=0 , 2+5+0=7 , A->7 , C->0
[4,8] + [4,1] , A=[7] , C=0 , 8+1+0=9 , A->9 , C->0
[4] + [4] , A=[9,7] , C=0 , 4+4+0=8 , A->8 , C->0
[] + [] , A=[8,9,7] C=0 , END
</scratch>
897
| 897 |
Input:
125+210
Target:
| Input:
125+210
Target:
<scratch>
[1,2,5] has 3 digits.
[2,1,0] has 3 digits.
[1,2,5] + [2,1,0] , A=[] , C=0 , 5+0+0=5 , A->5 , C->0
[1,2] + [2,1] , A=[5] , C=0 , 2+1+0=3 , A->3 , C->0
[1] + [2] , A=[3,5] , C=0 , 1+2+0=3 , A->3 , C->0
[] + [] , A=[3,3,5] C=0 , END
</scratch>
335
| 335 |
Input:
885+835
Target:
| Input:
885+835
Target:
<scratch>
[8,8,5] has 3 digits.
[8,3,5] has 3 digits.
[8,8,5] + [8,3,5] , A=[] , C=0 , 5+5+0=10 , A->0 , C->1
[8,8] + [8,3] , A=[0] , C=1 , 8+3+1=12 , A->2 , C->1
[8] + [8] , A=[2,0] , C=1 , 8+8+1=17 , A->7 , C->1
[] + [] , A=[7,2,0] C=1 , END
</scratch>
1720
| 1720 |
Input:
536+798
Target:
| Input:
536+798
Target:
<scratch>
[5,3,6] has 3 digits.
[7,9,8] has 3 digits.
[5,3,6] + [7,9,8] , A=[] , C=0 , 6+8+0=14 , A->4 , C->1
[5,3] + [7,9] , A=[4] , C=1 , 3+9+1=13 , A->3 , C->1
[5] + [7] , A=[3,4] , C=1 , 5+7+1=13 , A->3 , C->1
[] + [] , A=[3,3,4] C=1 , END
</scratch>
1334
| 1334 |
Input:
457+975
Target:
| Input:
457+975
Target:
<scratch>
[4,5,7] has 3 digits.
[9,7,5] has 3 digits.
[4,5,7] + [9,7,5] , A=[] , C=0 , 7+5+0=12 , A->2 , C->1
[4,5] + [9,7] , A=[2] , C=1 , 5+7+1=13 , A->3 , C->1
[4] + [9] , A=[3,2] , C=1 , 4+9+1=14 , A->4 , C->1
[] + [] , A=[4,3,2] C=1 , END
</scratch>
1432
| 1432 |
Input:
775+629
Target:
| Input:
775+629
Target:
<scratch>
[7,7,5] has 3 digits.
[6,2,9] has 3 digits.
[7,7,5] + [6,2,9] , A=[] , C=0 , 5+9+0=14 , A->4 , C->1
[7,7] + [6,2] , A=[4] , C=1 , 7+2+1=10 , A->0 , C->1
[7] + [6] , A=[0,4] , C=1 , 7+6+1=14 , A->4 , C->1
[] + [] , A=[4,0,4] C=1 , END
</scratch>
1404
| 1404 |
Input:
153+324
Target:
| Input:
153+324
Target:
<scratch>
[1,5,3] has 3 digits.
[3,2,4] has 3 digits.
[1,5,3] + [3,2,4] , A=[] , C=0 , 3+4+0=7 , A->7 , C->0
[1,5] + [3,2] , A=[7] , C=0 , 5+2+0=7 , A->7 , C->0
[1] + [3] , A=[7,7] , C=0 , 1+3+0=4 , A->4 , C->0
[] + [] , A=[4,7,7] C=0 , END
</scratch>
477
| 477 |
Input:
331+213
Target:
| Input:
331+213
Target:
<scratch>
[3,3,1] has 3 digits.
[2,1,3] has 3 digits.
[3,3,1] + [2,1,3] , A=[] , C=0 , 1+3+0=4 , A->4 , C->0
[3,3] + [2,1] , A=[4] , C=0 , 3+1+0=4 , A->4 , C->0
[3] + [2] , A=[4,4] , C=0 , 3+2+0=5 , A->5 , C->0
[] + [] , A=[5,4,4] C=0 , END
</scratch>
544
| 544 |
Input:
968+568
Target:
| Input:
968+568
Target:
<scratch>
[9,6,8] has 3 digits.
[5,6,8] has 3 digits.
[9,6,8] + [5,6,8] , A=[] , C=0 , 8+8+0=16 , A->6 , C->1
[9,6] + [5,6] , A=[6] , C=1 , 6+6+1=13 , A->3 , C->1
[9] + [5] , A=[3,6] , C=1 , 9+5+1=15 , A->5 , C->1
[] + [] , A=[5,3,6] C=1 , END
</scratch>
1536
| 1536 |
Input:
359+643
Target:
| Input:
359+643
Target:
<scratch>
[3,5,9] has 3 digits.
[6,4,3] has 3 digits.
[3,5,9] + [6,4,3] , A=[] , C=0 , 9+3+0=12 , A->2 , C->1
[3,5] + [6,4] , A=[2] , C=1 , 5+4+1=10 , A->0 , C->1
[3] + [6] , A=[0,2] , C=1 , 3+6+1=10 , A->0 , C->1
[] + [] , A=[0,0,2] C=1 , END
</scratch>
1002
| 1002 |
Input:
955+75
Target:
| Input:
955+75
Target:
<scratch>
[9,5,5] has 3 digits.
[7,5] has 2 digits.
[9,5,5] + [7,5] , A=[] , C=0 , 5+5+0=10 , A->0 , C->1
[9,5] + [7] , A=[0] , C=1 , 5+7+1=13 , A->3 , C->1
[9] + [] , A=[3,0] , C=1 , 9+0+1=10 , A->0 , C->1
[] + [] , A=[0,3,0] C=1 , END
</scratch>
1030
| 1030 |
Input:
659+897
Target:
| Input:
659+897
Target:
<scratch>
[6,5,9] has 3 digits.
[8,9,7] has 3 digits.
[6,5,9] + [8,9,7] , A=[] , C=0 , 9+7+0=16 , A->6 , C->1
[6,5] + [8,9] , A=[6] , C=1 , 5+9+1=15 , A->5 , C->1
[6] + [8] , A=[5,6] , C=1 , 6+8+1=15 , A->5 , C->1
[] + [] , A=[5,5,6] C=1 , END
</scratch>
1556
| 1556 |
Input:
520+227
Target:
| Input:
520+227
Target:
<scratch>
[5,2,0] has 3 digits.
[2,2,7] has 3 digits.
[5,2,0] + [2,2,7] , A=[] , C=0 , 0+7+0=7 , A->7 , C->0
[5,2] + [2,2] , A=[7] , C=0 , 2+2+0=4 , A->4 , C->0
[5] + [2] , A=[4,7] , C=0 , 5+2+0=7 , A->7 , C->0
[] + [] , A=[7,4,7] C=0 , END
</scratch>
747
| 747 |
Input:
115+651
Target:
| Input:
115+651
Target:
<scratch>
[1,1,5] has 3 digits.
[6,5,1] has 3 digits.
[1,1,5] + [6,5,1] , A=[] , C=0 , 5+1+0=6 , A->6 , C->0
[1,1] + [6,5] , A=[6] , C=0 , 1+5+0=6 , A->6 , C->0
[1] + [6] , A=[6,6] , C=0 , 1+6+0=7 , A->7 , C->0
[] + [] , A=[7,6,6] C=0 , END
</scratch>
766
| 766 |
Input:
813+10
Target:
| Input:
813+10
Target:
<scratch>
[8,1,3] has 3 digits.
[1,0] has 2 digits.
[8,1,3] + [1,0] , A=[] , C=0 , 3+0+0=3 , A->3 , C->0
[8,1] + [1] , A=[3] , C=0 , 1+1+0=2 , A->2 , C->0
[8] + [] , A=[2,3] , C=0 , 8+0+0=8 , A->8 , C->0
[] + [] , A=[8,2,3] C=0 , END
</scratch>
823
| 823 |
Input:
868+753
Target:
| Input:
868+753
Target:
<scratch>
[8,6,8] has 3 digits.
[7,5,3] has 3 digits.
[8,6,8] + [7,5,3] , A=[] , C=0 , 8+3+0=11 , A->1 , C->1
[8,6] + [7,5] , A=[1] , C=1 , 6+5+1=12 , A->2 , C->1
[8] + [7] , A=[2,1] , C=1 , 8+7+1=16 , A->6 , C->1
[] + [] , A=[6,2,1] C=1 , END
</scratch>
1621
| 1621 |
Input:
774+968
Target:
| Input:
774+968
Target:
<scratch>
[7,7,4] has 3 digits.
[9,6,8] has 3 digits.
[7,7,4] + [9,6,8] , A=[] , C=0 , 4+8+0=12 , A->2 , C->1
[7,7] + [9,6] , A=[2] , C=1 , 7+6+1=14 , A->4 , C->1
[7] + [9] , A=[4,2] , C=1 , 7+9+1=17 , A->7 , C->1
[] + [] , A=[7,4,2] C=1 , END
</scratch>
1742
| 1742 |
Input:
152+237
Target:
| Input:
152+237
Target:
<scratch>
[1,5,2] has 3 digits.
[2,3,7] has 3 digits.
[1,5,2] + [2,3,7] , A=[] , C=0 , 2+7+0=9 , A->9 , C->0
[1,5] + [2,3] , A=[9] , C=0 , 5+3+0=8 , A->8 , C->0
[1] + [2] , A=[8,9] , C=0 , 1+2+0=3 , A->3 , C->0
[] + [] , A=[3,8,9] C=0 , END
</scratch>
389
| 389 |
Input:
12+826
Target:
| Input:
12+826
Target:
<scratch>
[1,2] has 2 digits.
[8,2,6] has 3 digits.
[1,2] + [8,2,6] , A=[] , C=0 , 2+6+0=8 , A->8 , C->0
[1] + [8,2] , A=[8] , C=0 , 1+2+0=3 , A->3 , C->0
[] + [8] , A=[3,8] , C=0 , 0+8+0=8 , A->8 , C->0
[] + [] , A=[8,3,8] C=0 , END
</scratch>
838
| 838 |
Input:
360+22
Target:
| Input:
360+22
Target:
<scratch>
[3,6,0] has 3 digits.
[2,2] has 2 digits.
[3,6,0] + [2,2] , A=[] , C=0 , 0+2+0=2 , A->2 , C->0
[3,6] + [2] , A=[2] , C=0 , 6+2+0=8 , A->8 , C->0
[3] + [] , A=[8,2] , C=0 , 3+0+0=3 , A->3 , C->0
[] + [] , A=[3,8,2] C=0 , END
</scratch>
382
| 382 |
Input:
333+16
Target:
| Input:
333+16
Target:
<scratch>
[3,3,3] has 3 digits.
[1,6] has 2 digits.
[3,3,3] + [1,6] , A=[] , C=0 , 3+6+0=9 , A->9 , C->0
[3,3] + [1] , A=[9] , C=0 , 3+1+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:
343+130
Target:
| Input:
343+130
Target:
<scratch>
[3,4,3] has 3 digits.
[1,3,0] has 3 digits.
[3,4,3] + [1,3,0] , A=[] , C=0 , 3+0+0=3 , A->3 , C->0
[3,4] + [1,3] , A=[3] , C=0 , 4+3+0=7 , A->7 , C->0
[3] + [1] , A=[7,3] , C=0 , 3+1+0=4 , A->4 , C->0
[] + [] , A=[4,7,3] C=0 , END
</scratch>
473
| 473 |
Input:
683+116
Target:
| Input:
683+116
Target:
<scratch>
[6,8,3] has 3 digits.
[1,1,6] has 3 digits.
[6,8,3] + [1,1,6] , A=[] , C=0 , 3+6+0=9 , A->9 , C->0
[6,8] + [1,1] , A=[9] , C=0 , 8+1+0=9 , A->9 , C->0
[6] + [1] , A=[9,9] , C=0 , 6+1+0=7 , A->7 , C->0
[] + [] , A=[7,9,9] C=0 , END
</scratch>
799
| 799 |
Input:
593+607
Target:
| Input:
593+607
Target:
<scratch>
[5,9,3] has 3 digits.
[6,0,7] has 3 digits.
[5,9,3] + [6,0,7] , A=[] , C=0 , 3+7+0=10 , A->0 , C->1
[5,9] + [6,0] , A=[0] , C=1 , 9+0+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:
689+438
Target:
| Input:
689+438
Target:
<scratch>
[6,8,9] has 3 digits.
[4,3,8] has 3 digits.
[6,8,9] + [4,3,8] , A=[] , C=0 , 9+8+0=17 , A->7 , C->1
[6,8] + [4,3] , A=[7] , C=1 , 8+3+1=12 , A->2 , C->1
[6] + [4] , A=[2,7] , C=1 , 6+4+1=11 , A->1 , C->1
[] + [] , A=[1,2,7] C=1 , END
</scratch>
1127
| 1127 |
Input:
739+566
Target:
| Input:
739+566
Target:
<scratch>
[7,3,9] has 3 digits.
[5,6,6] has 3 digits.
[7,3,9] + [5,6,6] , A=[] , C=0 , 9+6+0=15 , A->5 , C->1
[7,3] + [5,6] , A=[5] , C=1 , 3+6+1=10 , A->0 , C->1
[7] + [5] , A=[0,5] , C=1 , 7+5+1=13 , A->3 , C->1
[] + [] , A=[3,0,5] C=1 , END
</scratch>
1305
| 1305 |
Input:
936+987
Target:
| Input:
936+987
Target:
<scratch>
[9,3,6] has 3 digits.
[9,8,7] has 3 digits.
[9,3,6] + [9,8,7] , A=[] , C=0 , 6+7+0=13 , A->3 , C->1
[9,3] + [9,8] , A=[3] , C=1 , 3+8+1=12 , A->2 , C->1
[9] + [9] , A=[2,3] , C=1 , 9+9+1=19 , A->9 , C->1
[] + [] , A=[9,2,3] C=1 , END
</scratch>
1923
| 1923 |
Input:
517+372
Target:
| Input:
517+372
Target:
<scratch>
[5,1,7] has 3 digits.
[3,7,2] has 3 digits.
[5,1,7] + [3,7,2] , A=[] , C=0 , 7+2+0=9 , A->9 , C->0
[5,1] + [3,7] , A=[9] , C=0 , 1+7+0=8 , A->8 , C->0
[5] + [3] , A=[8,9] , C=0 , 5+3+0=8 , A->8 , C->0
[] + [] , A=[8,8,9] C=0 , END
</scratch>
889
| 889 |
Input:
185+847
Target:
| Input:
185+847
Target:
<scratch>
[1,8,5] has 3 digits.
[8,4,7] has 3 digits.
[1,8,5] + [8,4,7] , A=[] , C=0 , 5+7+0=12 , A->2 , C->1
[1,8] + [8,4] , A=[2] , C=1 , 8+4+1=13 , A->3 , C->1
[1] + [8] , A=[3,2] , C=1 , 1+8+1=10 , A->0 , C->1
[] + [] , A=[0,3,2] C=1 , END
</scratch>
1032
| 1032 |
Input:
96+928
Target:
| Input:
96+928
Target:
<scratch>
[9,6] has 2 digits.
[9,2,8] has 3 digits.
[9,6] + [9,2,8] , A=[] , C=0 , 6+8+0=14 , A->4 , C->1
[9] + [9,2] , A=[4] , C=1 , 9+2+1=12 , A->2 , C->1
[] + [9] , A=[2,4] , C=1 , 0+9+1=10 , A->0 , C->1
[] + [] , A=[0,2,4] C=1 , END
</scratch>
1024
| 1024 |
Input:
897+453
Target:
| Input:
897+453
Target:
<scratch>
[8,9,7] has 3 digits.
[4,5,3] has 3 digits.
[8,9,7] + [4,5,3] , A=[] , C=0 , 7+3+0=10 , A->0 , C->1
[8,9] + [4,5] , A=[0] , C=1 , 9+5+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:
323+220
Target:
| Input:
323+220
Target:
<scratch>
[3,2,3] has 3 digits.
[2,2,0] has 3 digits.
[3,2,3] + [2,2,0] , A=[] , C=0 , 3+0+0=3 , A->3 , C->0
[3,2] + [2,2] , A=[3] , C=0 , 2+2+0=4 , A->4 , C->0
[3] + [2] , A=[4,3] , C=0 , 3+2+0=5 , A->5 , C->0
[] + [] , A=[5,4,3] C=0 , END
</scratch>
543
| 543 |
Input:
166+979
Target:
| Input:
166+979
Target:
<scratch>
[1,6,6] has 3 digits.
[9,7,9] has 3 digits.
[1,6,6] + [9,7,9] , A=[] , C=0 , 6+9+0=15 , A->5 , C->1
[1,6] + [9,7] , A=[5] , C=1 , 6+7+1=14 , A->4 , C->1
[1] + [9] , A=[4,5] , C=1 , 1+9+1=11 , A->1 , C->1
[] + [] , A=[1,4,5] C=1 , END
</scratch>
1145
| 1145 |
Input:
232+3
Target:
| Input:
232+3
Target:
<scratch>
[2,3,2] has 3 digits.
[3] has 1 digits.
[2,3,2] + [3] , A=[] , C=0 , 2+3+0=5 , A->5 , C->0
[2,3] + [] , A=[5] , C=0 , 3+0+0=3 , A->3 , C->0
[2] + [] , A=[3,5] , C=0 , 2+0+0=2 , A->2 , C->0
[] + [] , A=[2,3,5] C=0 , END
</scratch>
235
| 235 |
Input:
893+539
Target:
| Input:
893+539
Target:
<scratch>
[8,9,3] has 3 digits.
[5,3,9] has 3 digits.
[8,9,3] + [5,3,9] , A=[] , C=0 , 3+9+0=12 , A->2 , C->1
[8,9] + [5,3] , A=[2] , C=1 , 9+3+1=13 , A->3 , C->1
[8] + [5] , A=[3,2] , C=1 , 8+5+1=14 , A->4 , C->1
[] + [] , A=[4,3,2] C=1 , END
</scratch>
1432
| 1432 |
Input:
11+27
Target:
| Input:
11+27
Target:
<scratch>
[1,1] has 2 digits.
[2,7] has 2 digits.
[1,1] + [2,7] , A=[] , C=0 , 1+7+0=8 , A->8 , C->0
[1] + [2] , A=[8] , C=0 , 1+2+0=3 , A->3 , C->0
[] + [] , A=[3,8] C=0 , END
</scratch>
38
| 38 |
Input:
995+389
Target:
| Input:
995+389
Target:
<scratch>
[9,9,5] has 3 digits.
[3,8,9] has 3 digits.
[9,9,5] + [3,8,9] , A=[] , C=0 , 5+9+0=14 , A->4 , C->1
[9,9] + [3,8] , A=[4] , C=1 , 9+8+1=18 , A->8 , C->1
[9] + [3] , A=[8,4] , C=1 , 9+3+1=13 , A->3 , C->1
[] + [] , A=[3,8,4] C=1 , END
</scratch>
1384
| 1384 |
Input:
523+300
Target:
| Input:
523+300
Target:
<scratch>
[5,2,3] has 3 digits.
[3,0,0] has 3 digits.
[5,2,3] + [3,0,0] , A=[] , C=0 , 3+0+0=3 , A->3 , C->0
[5,2] + [3,0] , A=[3] , C=0 , 2+0+0=2 , A->2 , C->0
[5] + [3] , A=[2,3] , C=0 , 5+3+0=8 , A->8 , C->0
[] + [] , A=[8,2,3] C=0 , END
</scratch>
823
| 823 |
Input:
531+153
Target:
| Input:
531+153
Target:
<scratch>
[5,3,1] has 3 digits.
[1,5,3] has 3 digits.
[5,3,1] + [1,5,3] , A=[] , C=0 , 1+3+0=4 , A->4 , C->0
[5,3] + [1,5] , A=[4] , C=0 , 3+5+0=8 , A->8 , C->0
[5] + [1] , A=[8,4] , C=0 , 5+1+0=6 , A->6 , C->0
[] + [] , A=[6,8,4] C=0 , END
</scratch>
684
| 684 |
Input:
354+678
Target:
| Input:
354+678
Target:
<scratch>
[3,5,4] has 3 digits.
[6,7,8] has 3 digits.
[3,5,4] + [6,7,8] , A=[] , C=0 , 4+8+0=12 , A->2 , C->1
[3,5] + [6,7] , A=[2] , C=1 , 5+7+1=13 , A->3 , C->1
[3] + [6] , A=[3,2] , C=1 , 3+6+1=10 , A->0 , C->1
[] + [] , A=[0,3,2] C=1 , END
</scratch>
1032
| 1032 |
Input:
136+641
Target:
| Input:
136+641
Target:
<scratch>
[1,3,6] has 3 digits.
[6,4,1] has 3 digits.
[1,3,6] + [6,4,1] , A=[] , C=0 , 6+1+0=7 , A->7 , C->0
[1,3] + [6,4] , A=[7] , C=0 , 3+4+0=7 , A->7 , C->0
[1] + [6] , A=[7,7] , C=0 , 1+6+0=7 , A->7 , C->0
[] + [] , A=[7,7,7] C=0 , END
</scratch>
777
| 777 |
Input:
969+477
Target:
| Input:
969+477
Target:
<scratch>
[9,6,9] has 3 digits.
[4,7,7] has 3 digits.
[9,6,9] + [4,7,7] , A=[] , C=0 , 9+7+0=16 , A->6 , C->1
[9,6] + [4,7] , A=[6] , C=1 , 6+7+1=14 , A->4 , C->1
[9] + [4] , A=[4,6] , C=1 , 9+4+1=14 , A->4 , C->1
[] + [] , A=[4,4,6] C=1 , END
</scratch>
1446
| 1446 |
Input:
866+976
Target:
| Input:
866+976
Target:
<scratch>
[8,6,6] has 3 digits.
[9,7,6] has 3 digits.
[8,6,6] + [9,7,6] , A=[] , C=0 , 6+6+0=12 , A->2 , C->1
[8,6] + [9,7] , A=[2] , C=1 , 6+7+1=14 , A->4 , C->1
[8] + [9] , A=[4,2] , C=1 , 8+9+1=18 , A->8 , C->1
[] + [] , A=[8,4,2] C=1 , END
</scratch>
1842
| 1842 |
Input:
311+686
Target:
| Input:
311+686
Target:
<scratch>
[3,1,1] has 3 digits.
[6,8,6] has 3 digits.
[3,1,1] + [6,8,6] , A=[] , C=0 , 1+6+0=7 , A->7 , C->0
[3,1] + [6,8] , A=[7] , C=0 , 1+8+0=9 , A->9 , C->0
[3] + [6] , A=[9,7] , C=0 , 3+6+0=9 , A->9 , C->0
[] + [] , A=[9,9,7] C=0 , END
</scratch>
997
| 997 |
Input:
864+688
Target:
| Input:
864+688
Target:
<scratch>
[8,6,4] has 3 digits.
[6,8,8] has 3 digits.
[8,6,4] + [6,8,8] , A=[] , C=0 , 4+8+0=12 , A->2 , C->1
[8,6] + [6,8] , A=[2] , C=1 , 6+8+1=15 , A->5 , C->1
[8] + [6] , A=[5,2] , C=1 , 8+6+1=15 , A->5 , C->1
[] + [] , A=[5,5,2] C=1 , END
</scratch>
1552
| 1552 |
Input:
677+485
Target:
| Input:
677+485
Target:
<scratch>
[6,7,7] has 3 digits.
[4,8,5] has 3 digits.
[6,7,7] + [4,8,5] , A=[] , C=0 , 7+5+0=12 , A->2 , C->1
[6,7] + [4,8] , A=[2] , C=1 , 7+8+1=16 , A->6 , C->1
[6] + [4] , A=[6,2] , C=1 , 6+4+1=11 , A->1 , C->1
[] + [] , A=[1,6,2] C=1 , END
</scratch>
1162
| 1162 |
Input:
370+620
Target:
| Input:
370+620
Target:
<scratch>
[3,7,0] has 3 digits.
[6,2,0] has 3 digits.
[3,7,0] + [6,2,0] , A=[] , C=0 , 0+0+0=0 , A->0 , C->0
[3,7] + [6,2] , A=[0] , C=0 , 7+2+0=9 , A->9 , C->0
[3] + [6] , A=[9,0] , C=0 , 3+6+0=9 , A->9 , C->0
[] + [] , A=[9,9,0] C=0 , END
</scratch>
990
| 990 |
Input:
958+778
Target:
| Input:
958+778
Target:
<scratch>
[9,5,8] has 3 digits.
[7,7,8] has 3 digits.
[9,5,8] + [7,7,8] , A=[] , C=0 , 8+8+0=16 , A->6 , C->1
[9,5] + [7,7] , A=[6] , C=1 , 5+7+1=13 , A->3 , C->1
[9] + [7] , A=[3,6] , C=1 , 9+7+1=17 , A->7 , C->1
[] + [] , A=[7,3,6] C=1 , END
</scratch>
1736
| 1736 |
Input:
122+825
Target:
| Input:
122+825
Target:
<scratch>
[1,2,2] has 3 digits.
[8,2,5] has 3 digits.
[1,2,2] + [8,2,5] , A=[] , C=0 , 2+5+0=7 , A->7 , C->0
[1,2] + [8,2] , A=[7] , C=0 , 2+2+0=4 , A->4 , C->0
[1] + [8] , A=[4,7] , C=0 , 1+8+0=9 , A->9 , C->0
[] + [] , A=[9,4,7] C=0 , END
</scratch>
947
| 947 |
Input:
700+132
Target:
| Input:
700+132
Target:
<scratch>
[7,0,0] has 3 digits.
[1,3,2] has 3 digits.
[7,0,0] + [1,3,2] , A=[] , C=0 , 0+2+0=2 , A->2 , C->0
[7,0] + [1,3] , A=[2] , C=0 , 0+3+0=3 , A->3 , C->0
[7] + [1] , A=[3,2] , C=0 , 7+1+0=8 , A->8 , C->0
[] + [] , A=[8,3,2] C=0 , END
</scratch>
832
| 832 |
Input:
432+556
Target:
| Input:
432+556
Target:
<scratch>
[4,3,2] has 3 digits.
[5,5,6] has 3 digits.
[4,3,2] + [5,5,6] , A=[] , C=0 , 2+6+0=8 , A->8 , C->0
[4,3] + [5,5] , A=[8] , C=0 , 3+5+0=8 , A->8 , C->0
[4] + [5] , A=[8,8] , C=0 , 4+5+0=9 , A->9 , C->0
[] + [] , A=[9,8,8] C=0 , END
</scratch>
988
| 988 |
Input:
0+933
Target:
| Input:
0+933
Target:
<scratch>
[0] has 1 digits.
[9,3,3] has 3 digits.
[0] + [9,3,3] , A=[] , C=0 , 0+3+0=3 , A->3 , C->0
[] + [9,3] , A=[3] , C=0 , 0+3+0=3 , A->3 , C->0
[] + [9] , A=[3,3] , C=0 , 0+9+0=9 , A->9 , C->0
[] + [] , A=[9,3,3] C=0 , END
</scratch>
933
| 933 |
Input:
510+151
Target:
| Input:
510+151
Target:
<scratch>
[5,1,0] has 3 digits.
[1,5,1] has 3 digits.
[5,1,0] + [1,5,1] , A=[] , C=0 , 0+1+0=1 , A->1 , C->0
[5,1] + [1,5] , A=[1] , C=0 , 1+5+0=6 , A->6 , C->0
[5] + [1] , A=[6,1] , C=0 , 5+1+0=6 , A->6 , C->0
[] + [] , A=[6,6,1] C=0 , END
</scratch>
661
| 661 |
Input:
667+758
Target:
| Input:
667+758
Target:
<scratch>
[6,6,7] has 3 digits.
[7,5,8] has 3 digits.
[6,6,7] + [7,5,8] , A=[] , C=0 , 7+8+0=15 , A->5 , C->1
[6,6] + [7,5] , A=[5] , C=1 , 6+5+1=12 , A->2 , C->1
[6] + [7] , A=[2,5] , C=1 , 6+7+1=14 , A->4 , C->1
[] + [] , A=[4,2,5] C=1 , END
</scratch>
1425
| 1425 |
Input:
756+849
Target:
| Input:
756+849
Target:
<scratch>
[7,5,6] has 3 digits.
[8,4,9] has 3 digits.
[7,5,6] + [8,4,9] , A=[] , C=0 , 6+9+0=15 , A->5 , C->1
[7,5] + [8,4] , A=[5] , C=1 , 5+4+1=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:
354+320
Target:
| Input:
354+320
Target:
<scratch>
[3,5,4] has 3 digits.
[3,2,0] has 3 digits.
[3,5,4] + [3,2,0] , A=[] , C=0 , 4+0+0=4 , A->4 , C->0
[3,5] + [3,2] , A=[4] , C=0 , 5+2+0=7 , A->7 , C->0
[3] + [3] , A=[7,4] , C=0 , 3+3+0=6 , A->6 , C->0
[] + [] , A=[6,7,4] C=0 , END
</scratch>
674
| 674 |
Input:
793+528
Target:
| Input:
793+528
Target:
<scratch>
[7,9,3] has 3 digits.
[5,2,8] has 3 digits.
[7,9,3] + [5,2,8] , A=[] , C=0 , 3+8+0=11 , A->1 , C->1
[7,9] + [5,2] , A=[1] , C=1 , 9+2+1=12 , A->2 , C->1
[7] + [5] , A=[2,1] , C=1 , 7+5+1=13 , A->3 , C->1
[] + [] , A=[3,2,1] C=1 , END
</scratch>
1321
| 1321 |
Input:
534+3
Target:
| Input:
534+3
Target:
<scratch>
[5,3,4] has 3 digits.
[3] has 1 digits.
[5,3,4] + [3] , A=[] , C=0 , 4+3+0=7 , A->7 , C->0
[5,3] + [] , A=[7] , C=0 , 3+0+0=3 , A->3 , C->0
[5] + [] , A=[3,7] , C=0 , 5+0+0=5 , A->5 , C->0
[] + [] , A=[5,3,7] C=0 , END
</scratch>
537
| 537 |
Input:
407+994
Target:
| Input:
407+994
Target:
<scratch>
[4,0,7] has 3 digits.
[9,9,4] has 3 digits.
[4,0,7] + [9,9,4] , A=[] , C=0 , 7+4+0=11 , A->1 , C->1
[4,0] + [9,9] , A=[1] , C=1 , 0+9+1=10 , A->0 , C->1
[4] + [9] , A=[0,1] , C=1 , 4+9+1=14 , A->4 , C->1
[] + [] , A=[4,0,1] C=1 , END
</scratch>
1401
| 1401 |
Input:
517+112
Target:
| Input:
517+112
Target:
<scratch>
[5,1,7] has 3 digits.
[1,1,2] has 3 digits.
[5,1,7] + [1,1,2] , A=[] , C=0 , 7+2+0=9 , A->9 , C->0
[5,1] + [1,1] , A=[9] , C=0 , 1+1+0=2 , A->2 , C->0
[5] + [1] , A=[2,9] , C=0 , 5+1+0=6 , A->6 , C->0
[] + [] , A=[6,2,9] C=0 , END
</scratch>
629
| 629 |
Input:
455+846
Target:
| Input:
455+846
Target:
<scratch>
[4,5,5] has 3 digits.
[8,4,6] has 3 digits.
[4,5,5] + [8,4,6] , A=[] , C=0 , 5+6+0=11 , A->1 , C->1
[4,5] + [8,4] , A=[1] , C=1 , 5+4+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:
287+500
Target:
| Input:
287+500
Target:
<scratch>
[2,8,7] has 3 digits.
[5,0,0] has 3 digits.
[2,8,7] + [5,0,0] , A=[] , C=0 , 7+0+0=7 , A->7 , C->0
[2,8] + [5,0] , A=[7] , C=0 , 8+0+0=8 , A->8 , C->0
[2] + [5] , A=[8,7] , C=0 , 2+5+0=7 , A->7 , C->0
[] + [] , A=[7,8,7] C=0 , END
</scratch>
787
| 787 |
Input:
113+843
Target:
| Input:
113+843
Target:
<scratch>
[1,1,3] has 3 digits.
[8,4,3] has 3 digits.
[1,1,3] + [8,4,3] , A=[] , C=0 , 3+3+0=6 , A->6 , C->0
[1,1] + [8,4] , A=[6] , C=0 , 1+4+0=5 , A->5 , C->0
[1] + [8] , A=[5,6] , C=0 , 1+8+0=9 , A->9 , C->0
[] + [] , A=[9,5,6] C=0 , END
</scratch>
956
| 956 |
Input:
531+123
Target:
| Input:
531+123
Target:
<scratch>
[5,3,1] has 3 digits.
[1,2,3] has 3 digits.
[5,3,1] + [1,2,3] , A=[] , C=0 , 1+3+0=4 , A->4 , C->0
[5,3] + [1,2] , A=[4] , C=0 , 3+2+0=5 , A->5 , C->0
[5] + [1] , A=[5,4] , C=0 , 5+1+0=6 , A->6 , C->0
[] + [] , A=[6,5,4] C=0 , END
</scratch>
654
| 654 |
Input:
365+889
Target:
| Input:
365+889
Target:
<scratch>
[3,6,5] has 3 digits.
[8,8,9] has 3 digits.
[3,6,5] + [8,8,9] , A=[] , C=0 , 5+9+0=14 , A->4 , C->1
[3,6] + [8,8] , A=[4] , C=1 , 6+8+1=15 , A->5 , C->1
[3] + [8] , A=[5,4] , C=1 , 3+8+1=12 , A->2 , C->1
[] + [] , A=[2,5,4] C=1 , END
</scratch>
1254
| 1254 |
Input:
436+330
Target:
| Input:
436+330
Target:
<scratch>
[4,3,6] has 3 digits.
[3,3,0] has 3 digits.
[4,3,6] + [3,3,0] , A=[] , C=0 , 6+0+0=6 , A->6 , C->0
[4,3] + [3,3] , A=[6] , C=0 , 3+3+0=6 , A->6 , C->0
[4] + [3] , A=[6,6] , C=0 , 4+3+0=7 , A->7 , C->0
[] + [] , A=[7,6,6] C=0 , END
</scratch>
766
| 766 |
Input:
433+423
Target:
| Input:
433+423
Target:
<scratch>
[4,3,3] has 3 digits.
[4,2,3] has 3 digits.
[4,3,3] + [4,2,3] , A=[] , C=0 , 3+3+0=6 , A->6 , C->0
[4,3] + [4,2] , A=[6] , C=0 , 3+2+0=5 , A->5 , C->0
[4] + [4] , A=[5,6] , C=0 , 4+4+0=8 , A->8 , C->0
[] + [] , A=[8,5,6] C=0 , END
</scratch>
856
| 856 |
Input:
389+668
Target:
| Input:
389+668
Target:
<scratch>
[3,8,9] has 3 digits.
[6,6,8] has 3 digits.
[3,8,9] + [6,6,8] , A=[] , C=0 , 9+8+0=17 , A->7 , C->1
[3,8] + [6,6] , A=[7] , C=1 , 8+6+1=15 , A->5 , C->1
[3] + [6] , A=[5,7] , C=1 , 3+6+1=10 , A->0 , C->1
[] + [] , A=[0,5,7] C=1 , END
</scratch>
1057
| 1057 |
Input:
276+775
Target:
| Input:
276+775
Target:
<scratch>
[2,7,6] has 3 digits.
[7,7,5] has 3 digits.
[2,7,6] + [7,7,5] , A=[] , C=0 , 6+5+0=11 , A->1 , C->1
[2,7] + [7,7] , A=[1] , C=1 , 7+7+1=15 , A->5 , C->1
[2] + [7] , A=[5,1] , C=1 , 2+7+1=10 , A->0 , C->1
[] + [] , A=[0,5,1] C=1 , END
</scratch>
1051
| 1051 |
Input:
965+959
Target:
| Input:
965+959
Target:
<scratch>
[9,6,5] has 3 digits.
[9,5,9] has 3 digits.
[9,6,5] + [9,5,9] , A=[] , C=0 , 5+9+0=14 , A->4 , C->1
[9,6] + [9,5] , A=[4] , C=1 , 6+5+1=12 , A->2 , C->1
[9] + [9] , A=[2,4] , C=1 , 9+9+1=19 , A->9 , C->1
[] + [] , A=[9,2,4] C=1 , END
</scratch>
1924
| 1924 |
Input:
841+279
Target:
| Input:
841+279
Target:
<scratch>
[8,4,1] has 3 digits.
[2,7,9] has 3 digits.
[8,4,1] + [2,7,9] , A=[] , C=0 , 1+9+0=10 , A->0 , C->1
[8,4] + [2,7] , A=[0] , C=1 , 4+7+1=12 , A->2 , C->1
[8] + [2] , A=[2,0] , C=1 , 8+2+1=11 , A->1 , C->1
[] + [] , A=[1,2,0] C=1 , END
</scratch>
1120
| 1120 |
Input:
178+955
Target:
| Input:
178+955
Target:
<scratch>
[1,7,8] has 3 digits.
[9,5,5] has 3 digits.
[1,7,8] + [9,5,5] , A=[] , C=0 , 8+5+0=13 , A->3 , C->1
[1,7] + [9,5] , A=[3] , C=1 , 7+5+1=13 , A->3 , C->1
[1] + [9] , A=[3,3] , C=1 , 1+9+1=11 , A->1 , C->1
[] + [] , A=[1,3,3] C=1 , END
</scratch>
1133
| 1133 |
Input:
560+222
Target:
| Input:
560+222
Target:
<scratch>
[5,6,0] has 3 digits.
[2,2,2] has 3 digits.
[5,6,0] + [2,2,2] , A=[] , C=0 , 0+2+0=2 , A->2 , C->0
[5,6] + [2,2] , A=[2] , C=0 , 6+2+0=8 , A->8 , C->0
[5] + [2] , A=[8,2] , C=0 , 5+2+0=7 , A->7 , C->0
[] + [] , A=[7,8,2] C=0 , END
</scratch>
782
| 782 |
Input:
476+301
Target:
| Input:
476+301
Target:
<scratch>
[4,7,6] has 3 digits.
[3,0,1] has 3 digits.
[4,7,6] + [3,0,1] , A=[] , C=0 , 6+1+0=7 , A->7 , C->0
[4,7] + [3,0] , A=[7] , C=0 , 7+0+0=7 , A->7 , C->0
[4] + [3] , A=[7,7] , C=0 , 4+3+0=7 , A->7 , C->0
[] + [] , A=[7,7,7] C=0 , END
</scratch>
777
| 777 |
Input:
617+152
Target:
| Input:
617+152
Target:
<scratch>
[6,1,7] has 3 digits.
[1,5,2] has 3 digits.
[6,1,7] + [1,5,2] , A=[] , C=0 , 7+2+0=9 , A->9 , C->0
[6,1] + [1,5] , A=[9] , C=0 , 1+5+0=6 , A->6 , C->0
[6] + [1] , A=[6,9] , C=0 , 6+1+0=7 , A->7 , C->0
[] + [] , A=[7,6,9] C=0 , END
</scratch>
769
| 769 |
Subsets and Splits