input_test
stringlengths 19
23
| scratchpad
stringlengths 151
283
| result_final
stringlengths 1
4
|
|---|---|---|
Input:
260+15
Target:
| Input:
260+15
Target:
<scratch>
[2,6,0] has 3 digits.
[1,5] has 2 digits.
[2,6,0] + [1,5] , A=[] , C=0 , 0+5+0=5 , A->5 , C->0
[2,6] + [1] , A=[5] , C=0 , 6+1+0=7 , A->7 , C->0
[2] + [] , A=[7,5] , C=0 , 2+0+0=2 , A->2 , C->0
[] + [] , A=[2,7,5] C=0 , END
</scratch>
275
| 275 |
Input:
356+421
Target:
| Input:
356+421
Target:
<scratch>
[3,5,6] has 3 digits.
[4,2,1] has 3 digits.
[3,5,6] + [4,2,1] , A=[] , C=0 , 6+1+0=7 , A->7 , C->0
[3,5] + [4,2] , A=[7] , C=0 , 5+2+0=7 , A->7 , C->0
[3] + [4] , A=[7,7] , C=0 , 3+4+0=7 , A->7 , C->0
[] + [] , A=[7,7,7] C=0 , END
</scratch>
777
| 777 |
Input:
653+10
Target:
| Input:
653+10
Target:
<scratch>
[6,5,3] has 3 digits.
[1,0] has 2 digits.
[6,5,3] + [1,0] , A=[] , C=0 , 3+0+0=3 , A->3 , C->0
[6,5] + [1] , A=[3] , C=0 , 5+1+0=6 , A->6 , C->0
[6] + [] , A=[6,3] , C=0 , 6+0+0=6 , A->6 , C->0
[] + [] , A=[6,6,3] C=0 , END
</scratch>
663
| 663 |
Input:
374+728
Target:
| Input:
374+728
Target:
<scratch>
[3,7,4] has 3 digits.
[7,2,8] has 3 digits.
[3,7,4] + [7,2,8] , A=[] , C=0 , 4+8+0=12 , A->2 , C->1
[3,7] + [7,2] , A=[2] , C=1 , 7+2+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:
899+201
Target:
| Input:
899+201
Target:
<scratch>
[8,9,9] has 3 digits.
[2,0,1] has 3 digits.
[8,9,9] + [2,0,1] , A=[] , C=0 , 9+1+0=10 , A->0 , C->1
[8,9] + [2,0] , A=[0] , C=1 , 9+0+1=10 , A->0 , C->1
[8] + [2] , A=[0,0] , C=1 , 8+2+1=11 , A->1 , C->1
[] + [] , A=[1,0,0] C=1 , END
</scratch>
1100
| 1100 |
Input:
962+639
Target:
| Input:
962+639
Target:
<scratch>
[9,6,2] has 3 digits.
[6,3,9] has 3 digits.
[9,6,2] + [6,3,9] , A=[] , C=0 , 2+9+0=11 , A->1 , C->1
[9,6] + [6,3] , A=[1] , C=1 , 6+3+1=10 , A->0 , C->1
[9] + [6] , A=[0,1] , C=1 , 9+6+1=16 , A->6 , C->1
[] + [] , A=[6,0,1] C=1 , END
</scratch>
1601
| 1601 |
Input:
982+978
Target:
| Input:
982+978
Target:
<scratch>
[9,8,2] has 3 digits.
[9,7,8] has 3 digits.
[9,8,2] + [9,7,8] , A=[] , C=0 , 2+8+0=10 , A->0 , C->1
[9,8] + [9,7] , A=[0] , C=1 , 8+7+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:
965+546
Target:
| Input:
965+546
Target:
<scratch>
[9,6,5] has 3 digits.
[5,4,6] has 3 digits.
[9,6,5] + [5,4,6] , A=[] , C=0 , 5+6+0=11 , A->1 , C->1
[9,6] + [5,4] , A=[1] , C=1 , 6+4+1=11 , A->1 , C->1
[9] + [5] , A=[1,1] , C=1 , 9+5+1=15 , A->5 , C->1
[] + [] , A=[5,1,1] C=1 , END
</scratch>
1511
| 1511 |
Input:
52+646
Target:
| Input:
52+646
Target:
<scratch>
[5,2] has 2 digits.
[6,4,6] has 3 digits.
[5,2] + [6,4,6] , A=[] , C=0 , 2+6+0=8 , A->8 , C->0
[5] + [6,4] , A=[8] , C=0 , 5+4+0=9 , A->9 , C->0
[] + [6] , A=[9,8] , C=0 , 0+6+0=6 , A->6 , C->0
[] + [] , A=[6,9,8] C=0 , END
</scratch>
698
| 698 |
Input:
530+327
Target:
| Input:
530+327
Target:
<scratch>
[5,3,0] has 3 digits.
[3,2,7] has 3 digits.
[5,3,0] + [3,2,7] , A=[] , C=0 , 0+7+0=7 , A->7 , C->0
[5,3] + [3,2] , A=[7] , C=0 , 3+2+0=5 , A->5 , C->0
[5] + [3] , A=[5,7] , C=0 , 5+3+0=8 , A->8 , C->0
[] + [] , A=[8,5,7] C=0 , END
</scratch>
857
| 857 |
Input:
822+123
Target:
| Input:
822+123
Target:
<scratch>
[8,2,2] has 3 digits.
[1,2,3] has 3 digits.
[8,2,2] + [1,2,3] , A=[] , C=0 , 2+3+0=5 , A->5 , C->0
[8,2] + [1,2] , A=[5] , C=0 , 2+2+0=4 , A->4 , C->0
[8] + [1] , A=[4,5] , C=0 , 8+1+0=9 , A->9 , C->0
[] + [] , A=[9,4,5] C=0 , END
</scratch>
945
| 945 |
Input:
999+969
Target:
| Input:
999+969
Target:
<scratch>
[9,9,9] has 3 digits.
[9,6,9] has 3 digits.
[9,9,9] + [9,6,9] , A=[] , C=0 , 9+9+0=18 , A->8 , C->1
[9,9] + [9,6] , A=[8] , C=1 , 9+6+1=16 , A->6 , C->1
[9] + [9] , A=[6,8] , C=1 , 9+9+1=19 , A->9 , C->1
[] + [] , A=[9,6,8] C=1 , END
</scratch>
1968
| 1968 |
Input:
997+836
Target:
| Input:
997+836
Target:
<scratch>
[9,9,7] has 3 digits.
[8,3,6] has 3 digits.
[9,9,7] + [8,3,6] , A=[] , C=0 , 7+6+0=13 , A->3 , C->1
[9,9] + [8,3] , A=[3] , C=1 , 9+3+1=13 , A->3 , C->1
[9] + [8] , A=[3,3] , C=1 , 9+8+1=18 , A->8 , C->1
[] + [] , A=[8,3,3] C=1 , END
</scratch>
1833
| 1833 |
Input:
103+490
Target:
| Input:
103+490
Target:
<scratch>
[1,0,3] has 3 digits.
[4,9,0] has 3 digits.
[1,0,3] + [4,9,0] , A=[] , C=0 , 3+0+0=3 , A->3 , C->0
[1,0] + [4,9] , A=[3] , C=0 , 0+9+0=9 , A->9 , C->0
[1] + [4] , A=[9,3] , C=0 , 1+4+0=5 , A->5 , C->0
[] + [] , A=[5,9,3] C=0 , END
</scratch>
593
| 593 |
Input:
506+303
Target:
| Input:
506+303
Target:
<scratch>
[5,0,6] has 3 digits.
[3,0,3] has 3 digits.
[5,0,6] + [3,0,3] , A=[] , C=0 , 6+3+0=9 , A->9 , C->0
[5,0] + [3,0] , A=[9] , C=0 , 0+0+0=0 , A->0 , C->0
[5] + [3] , A=[0,9] , C=0 , 5+3+0=8 , A->8 , C->0
[] + [] , A=[8,0,9] C=0 , END
</scratch>
809
| 809 |
Input:
291+507
Target:
| Input:
291+507
Target:
<scratch>
[2,9,1] has 3 digits.
[5,0,7] has 3 digits.
[2,9,1] + [5,0,7] , A=[] , C=0 , 1+7+0=8 , A->8 , C->0
[2,9] + [5,0] , A=[8] , C=0 , 9+0+0=9 , A->9 , C->0
[2] + [5] , A=[9,8] , C=0 , 2+5+0=7 , A->7 , C->0
[] + [] , A=[7,9,8] C=0 , END
</scratch>
798
| 798 |
Input:
995+579
Target:
| Input:
995+579
Target:
<scratch>
[9,9,5] has 3 digits.
[5,7,9] has 3 digits.
[9,9,5] + [5,7,9] , A=[] , C=0 , 5+9+0=14 , A->4 , C->1
[9,9] + [5,7] , A=[4] , C=1 , 9+7+1=17 , A->7 , C->1
[9] + [5] , A=[7,4] , C=1 , 9+5+1=15 , A->5 , C->1
[] + [] , A=[5,7,4] C=1 , END
</scratch>
1574
| 1574 |
Input:
80+617
Target:
| Input:
80+617
Target:
<scratch>
[8,0] has 2 digits.
[6,1,7] has 3 digits.
[8,0] + [6,1,7] , A=[] , C=0 , 0+7+0=7 , A->7 , C->0
[8] + [6,1] , A=[7] , C=0 , 8+1+0=9 , A->9 , C->0
[] + [6] , A=[9,7] , C=0 , 0+6+0=6 , A->6 , C->0
[] + [] , A=[6,9,7] C=0 , END
</scratch>
697
| 697 |
Input:
676+836
Target:
| Input:
676+836
Target:
<scratch>
[6,7,6] has 3 digits.
[8,3,6] has 3 digits.
[6,7,6] + [8,3,6] , A=[] , C=0 , 6+6+0=12 , A->2 , C->1
[6,7] + [8,3] , A=[2] , C=1 , 7+3+1=11 , A->1 , C->1
[6] + [8] , A=[1,2] , C=1 , 6+8+1=15 , A->5 , C->1
[] + [] , A=[5,1,2] C=1 , END
</scratch>
1512
| 1512 |
Input:
470+501
Target:
| Input:
470+501
Target:
<scratch>
[4,7,0] has 3 digits.
[5,0,1] has 3 digits.
[4,7,0] + [5,0,1] , A=[] , C=0 , 0+1+0=1 , A->1 , C->0
[4,7] + [5,0] , A=[1] , C=0 , 7+0+0=7 , A->7 , C->0
[4] + [5] , A=[7,1] , C=0 , 4+5+0=9 , A->9 , C->0
[] + [] , A=[9,7,1] C=0 , END
</scratch>
971
| 971 |
Input:
410+109
Target:
| Input:
410+109
Target:
<scratch>
[4,1,0] has 3 digits.
[1,0,9] has 3 digits.
[4,1,0] + [1,0,9] , A=[] , C=0 , 0+9+0=9 , A->9 , C->0
[4,1] + [1,0] , A=[9] , C=0 , 1+0+0=1 , A->1 , C->0
[4] + [1] , A=[1,9] , C=0 , 4+1+0=5 , A->5 , C->0
[] + [] , A=[5,1,9] C=0 , END
</scratch>
519
| 519 |
Input:
839+163
Target:
| Input:
839+163
Target:
<scratch>
[8,3,9] has 3 digits.
[1,6,3] has 3 digits.
[8,3,9] + [1,6,3] , A=[] , C=0 , 9+3+0=12 , A->2 , C->1
[8,3] + [1,6] , A=[2] , C=1 , 3+6+1=10 , A->0 , C->1
[8] + [1] , A=[0,2] , C=1 , 8+1+1=10 , A->0 , C->1
[] + [] , A=[0,0,2] C=1 , END
</scratch>
1002
| 1002 |
Input:
876+796
Target:
| Input:
876+796
Target:
<scratch>
[8,7,6] has 3 digits.
[7,9,6] has 3 digits.
[8,7,6] + [7,9,6] , A=[] , C=0 , 6+6+0=12 , A->2 , C->1
[8,7] + [7,9] , A=[2] , C=1 , 7+9+1=17 , A->7 , C->1
[8] + [7] , A=[7,2] , C=1 , 8+7+1=16 , A->6 , C->1
[] + [] , A=[6,7,2] C=1 , END
</scratch>
1672
| 1672 |
Input:
745+899
Target:
| Input:
745+899
Target:
<scratch>
[7,4,5] has 3 digits.
[8,9,9] has 3 digits.
[7,4,5] + [8,9,9] , A=[] , C=0 , 5+9+0=14 , A->4 , C->1
[7,4] + [8,9] , A=[4] , C=1 , 4+9+1=14 , A->4 , C->1
[7] + [8] , A=[4,4] , C=1 , 7+8+1=16 , A->6 , C->1
[] + [] , A=[6,4,4] C=1 , END
</scratch>
1644
| 1644 |
Input:
688+111
Target:
| Input:
688+111
Target:
<scratch>
[6,8,8] has 3 digits.
[1,1,1] has 3 digits.
[6,8,8] + [1,1,1] , A=[] , C=0 , 8+1+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:
302+157
Target:
| Input:
302+157
Target:
<scratch>
[3,0,2] has 3 digits.
[1,5,7] has 3 digits.
[3,0,2] + [1,5,7] , A=[] , C=0 , 2+7+0=9 , A->9 , C->0
[3,0] + [1,5] , A=[9] , C=0 , 0+5+0=5 , A->5 , C->0
[3] + [1] , A=[5,9] , C=0 , 3+1+0=4 , A->4 , C->0
[] + [] , A=[4,5,9] C=0 , END
</scratch>
459
| 459 |
Input:
568+954
Target:
| Input:
568+954
Target:
<scratch>
[5,6,8] has 3 digits.
[9,5,4] has 3 digits.
[5,6,8] + [9,5,4] , A=[] , C=0 , 8+4+0=12 , A->2 , C->1
[5,6] + [9,5] , A=[2] , C=1 , 6+5+1=12 , A->2 , C->1
[5] + [9] , A=[2,2] , C=1 , 5+9+1=15 , A->5 , C->1
[] + [] , A=[5,2,2] C=1 , END
</scratch>
1522
| 1522 |
Input:
498+718
Target:
| Input:
498+718
Target:
<scratch>
[4,9,8] has 3 digits.
[7,1,8] has 3 digits.
[4,9,8] + [7,1,8] , A=[] , C=0 , 8+8+0=16 , A->6 , C->1
[4,9] + [7,1] , A=[6] , C=1 , 9+1+1=11 , A->1 , C->1
[4] + [7] , A=[1,6] , C=1 , 4+7+1=12 , A->2 , C->1
[] + [] , A=[2,1,6] C=1 , END
</scratch>
1216
| 1216 |
Input:
53+943
Target:
| Input:
53+943
Target:
<scratch>
[5,3] has 2 digits.
[9,4,3] has 3 digits.
[5,3] + [9,4,3] , A=[] , C=0 , 3+3+0=6 , A->6 , C->0
[5] + [9,4] , A=[6] , C=0 , 5+4+0=9 , A->9 , C->0
[] + [9] , A=[9,6] , C=0 , 0+9+0=9 , A->9 , C->0
[] + [] , A=[9,9,6] C=0 , END
</scratch>
996
| 996 |
Input:
736+799
Target:
| Input:
736+799
Target:
<scratch>
[7,3,6] has 3 digits.
[7,9,9] has 3 digits.
[7,3,6] + [7,9,9] , A=[] , C=0 , 6+9+0=15 , A->5 , C->1
[7,3] + [7,9] , A=[5] , C=1 , 3+9+1=13 , A->3 , C->1
[7] + [7] , A=[3,5] , C=1 , 7+7+1=15 , A->5 , C->1
[] + [] , A=[5,3,5] C=1 , END
</scratch>
1535
| 1535 |
Input:
302+93
Target:
| Input:
302+93
Target:
<scratch>
[3,0,2] has 3 digits.
[9,3] has 2 digits.
[3,0,2] + [9,3] , A=[] , C=0 , 2+3+0=5 , A->5 , C->0
[3,0] + [9] , A=[5] , C=0 , 0+9+0=9 , A->9 , C->0
[3] + [] , A=[9,5] , C=0 , 3+0+0=3 , A->3 , C->0
[] + [] , A=[3,9,5] C=0 , END
</scratch>
395
| 395 |
Input:
734+967
Target:
| Input:
734+967
Target:
<scratch>
[7,3,4] has 3 digits.
[9,6,7] has 3 digits.
[7,3,4] + [9,6,7] , A=[] , C=0 , 4+7+0=11 , A->1 , C->1
[7,3] + [9,6] , A=[1] , C=1 , 3+6+1=10 , A->0 , C->1
[7] + [9] , A=[0,1] , C=1 , 7+9+1=17 , A->7 , C->1
[] + [] , A=[7,0,1] C=1 , END
</scratch>
1701
| 1701 |
Input:
192+700
Target:
| Input:
192+700
Target:
<scratch>
[1,9,2] has 3 digits.
[7,0,0] has 3 digits.
[1,9,2] + [7,0,0] , A=[] , C=0 , 2+0+0=2 , A->2 , C->0
[1,9] + [7,0] , A=[2] , C=0 , 9+0+0=9 , A->9 , C->0
[1] + [7] , A=[9,2] , C=0 , 1+7+0=8 , A->8 , C->0
[] + [] , A=[8,9,2] C=0 , END
</scratch>
892
| 892 |
Input:
20+973
Target:
| Input:
20+973
Target:
<scratch>
[2,0] has 2 digits.
[9,7,3] has 3 digits.
[2,0] + [9,7,3] , A=[] , C=0 , 0+3+0=3 , A->3 , C->0
[2] + [9,7] , A=[3] , C=0 , 2+7+0=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:
368+611
Target:
| Input:
368+611
Target:
<scratch>
[3,6,8] has 3 digits.
[6,1,1] has 3 digits.
[3,6,8] + [6,1,1] , A=[] , C=0 , 8+1+0=9 , A->9 , C->0
[3,6] + [6,1] , A=[9] , C=0 , 6+1+0=7 , A->7 , C->0
[3] + [6] , A=[7,9] , C=0 , 3+6+0=9 , A->9 , C->0
[] + [] , A=[9,7,9] C=0 , END
</scratch>
979
| 979 |
Input:
328+975
Target:
| Input:
328+975
Target:
<scratch>
[3,2,8] has 3 digits.
[9,7,5] has 3 digits.
[3,2,8] + [9,7,5] , A=[] , C=0 , 8+5+0=13 , A->3 , C->1
[3,2] + [9,7] , A=[3] , C=1 , 2+7+1=10 , A->0 , C->1
[3] + [9] , A=[0,3] , C=1 , 3+9+1=13 , A->3 , C->1
[] + [] , A=[3,0,3] C=1 , END
</scratch>
1303
| 1303 |
Input:
142+504
Target:
| Input:
142+504
Target:
<scratch>
[1,4,2] has 3 digits.
[5,0,4] has 3 digits.
[1,4,2] + [5,0,4] , A=[] , C=0 , 2+4+0=6 , A->6 , C->0
[1,4] + [5,0] , A=[6] , C=0 , 4+0+0=4 , A->4 , C->0
[1] + [5] , A=[4,6] , C=0 , 1+5+0=6 , A->6 , C->0
[] + [] , A=[6,4,6] C=0 , END
</scratch>
646
| 646 |
Input:
131+46
Target:
| Input:
131+46
Target:
<scratch>
[1,3,1] has 3 digits.
[4,6] has 2 digits.
[1,3,1] + [4,6] , A=[] , C=0 , 1+6+0=7 , A->7 , C->0
[1,3] + [4] , A=[7] , C=0 , 3+4+0=7 , A->7 , C->0
[1] + [] , A=[7,7] , C=0 , 1+0+0=1 , A->1 , C->0
[] + [] , A=[1,7,7] C=0 , END
</scratch>
177
| 177 |
Input:
116+723
Target:
| Input:
116+723
Target:
<scratch>
[1,1,6] has 3 digits.
[7,2,3] has 3 digits.
[1,1,6] + [7,2,3] , A=[] , C=0 , 6+3+0=9 , A->9 , C->0
[1,1] + [7,2] , A=[9] , C=0 , 1+2+0=3 , A->3 , C->0
[1] + [7] , A=[3,9] , C=0 , 1+7+0=8 , A->8 , C->0
[] + [] , A=[8,3,9] C=0 , END
</scratch>
839
| 839 |
Input:
416+599
Target:
| Input:
416+599
Target:
<scratch>
[4,1,6] has 3 digits.
[5,9,9] has 3 digits.
[4,1,6] + [5,9,9] , A=[] , C=0 , 6+9+0=15 , A->5 , C->1
[4,1] + [5,9] , A=[5] , C=1 , 1+9+1=11 , A->1 , C->1
[4] + [5] , A=[1,5] , C=1 , 4+5+1=10 , A->0 , C->1
[] + [] , A=[0,1,5] C=1 , END
</scratch>
1015
| 1015 |
Input:
276+511
Target:
| Input:
276+511
Target:
<scratch>
[2,7,6] has 3 digits.
[5,1,1] has 3 digits.
[2,7,6] + [5,1,1] , A=[] , C=0 , 6+1+0=7 , A->7 , C->0
[2,7] + [5,1] , A=[7] , C=0 , 7+1+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:
587+725
Target:
| Input:
587+725
Target:
<scratch>
[5,8,7] has 3 digits.
[7,2,5] has 3 digits.
[5,8,7] + [7,2,5] , A=[] , C=0 , 7+5+0=12 , A->2 , C->1
[5,8] + [7,2] , A=[2] , C=1 , 8+2+1=11 , A->1 , C->1
[5] + [7] , A=[1,2] , C=1 , 5+7+1=13 , A->3 , C->1
[] + [] , A=[3,1,2] C=1 , END
</scratch>
1312
| 1312 |
Input:
599+527
Target:
| Input:
599+527
Target:
<scratch>
[5,9,9] has 3 digits.
[5,2,7] has 3 digits.
[5,9,9] + [5,2,7] , A=[] , C=0 , 9+7+0=16 , A->6 , C->1
[5,9] + [5,2] , A=[6] , C=1 , 9+2+1=12 , A->2 , C->1
[5] + [5] , A=[2,6] , C=1 , 5+5+1=11 , A->1 , C->1
[] + [] , A=[1,2,6] C=1 , END
</scratch>
1126
| 1126 |
Input:
460+521
Target:
| Input:
460+521
Target:
<scratch>
[4,6,0] has 3 digits.
[5,2,1] has 3 digits.
[4,6,0] + [5,2,1] , A=[] , C=0 , 0+1+0=1 , A->1 , C->0
[4,6] + [5,2] , A=[1] , C=0 , 6+2+0=8 , A->8 , C->0
[4] + [5] , A=[8,1] , C=0 , 4+5+0=9 , A->9 , C->0
[] + [] , A=[9,8,1] C=0 , END
</scratch>
981
| 981 |
Input:
544+687
Target:
| Input:
544+687
Target:
<scratch>
[5,4,4] has 3 digits.
[6,8,7] has 3 digits.
[5,4,4] + [6,8,7] , A=[] , C=0 , 4+7+0=11 , A->1 , C->1
[5,4] + [6,8] , A=[1] , C=1 , 4+8+1=13 , A->3 , C->1
[5] + [6] , A=[3,1] , C=1 , 5+6+1=12 , A->2 , C->1
[] + [] , A=[2,3,1] C=1 , END
</scratch>
1231
| 1231 |
Input:
975+26
Target:
| Input:
975+26
Target:
<scratch>
[9,7,5] has 3 digits.
[2,6] has 2 digits.
[9,7,5] + [2,6] , A=[] , C=0 , 5+6+0=11 , A->1 , C->1
[9,7] + [2] , A=[1] , C=1 , 7+2+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:
532+413
Target:
| Input:
532+413
Target:
<scratch>
[5,3,2] has 3 digits.
[4,1,3] has 3 digits.
[5,3,2] + [4,1,3] , A=[] , C=0 , 2+3+0=5 , A->5 , C->0
[5,3] + [4,1] , A=[5] , C=0 , 3+1+0=4 , A->4 , C->0
[5] + [4] , A=[4,5] , C=0 , 5+4+0=9 , A->9 , C->0
[] + [] , A=[9,4,5] C=0 , END
</scratch>
945
| 945 |
Input:
120+442
Target:
| Input:
120+442
Target:
<scratch>
[1,2,0] has 3 digits.
[4,4,2] has 3 digits.
[1,2,0] + [4,4,2] , A=[] , C=0 , 0+2+0=2 , A->2 , C->0
[1,2] + [4,4] , A=[2] , C=0 , 2+4+0=6 , A->6 , C->0
[1] + [4] , A=[6,2] , C=0 , 1+4+0=5 , A->5 , C->0
[] + [] , A=[5,6,2] C=0 , END
</scratch>
562
| 562 |
Input:
12+942
Target:
| Input:
12+942
Target:
<scratch>
[1,2] has 2 digits.
[9,4,2] has 3 digits.
[1,2] + [9,4,2] , A=[] , C=0 , 2+2+0=4 , A->4 , C->0
[1] + [9,4] , A=[4] , C=0 , 1+4+0=5 , A->5 , C->0
[] + [9] , A=[5,4] , C=0 , 0+9+0=9 , A->9 , C->0
[] + [] , A=[9,5,4] C=0 , END
</scratch>
954
| 954 |
Input:
886+459
Target:
| Input:
886+459
Target:
<scratch>
[8,8,6] has 3 digits.
[4,5,9] has 3 digits.
[8,8,6] + [4,5,9] , A=[] , C=0 , 6+9+0=15 , A->5 , C->1
[8,8] + [4,5] , A=[5] , C=1 , 8+5+1=14 , A->4 , C->1
[8] + [4] , A=[4,5] , C=1 , 8+4+1=13 , A->3 , C->1
[] + [] , A=[3,4,5] C=1 , END
</scratch>
1345
| 1345 |
Input:
546+143
Target:
| Input:
546+143
Target:
<scratch>
[5,4,6] has 3 digits.
[1,4,3] has 3 digits.
[5,4,6] + [1,4,3] , A=[] , C=0 , 6+3+0=9 , A->9 , C->0
[5,4] + [1,4] , A=[9] , C=0 , 4+4+0=8 , A->8 , C->0
[5] + [1] , A=[8,9] , C=0 , 5+1+0=6 , A->6 , C->0
[] + [] , A=[6,8,9] C=0 , END
</scratch>
689
| 689 |
Input:
658+41
Target:
| Input:
658+41
Target:
<scratch>
[6,5,8] has 3 digits.
[4,1] has 2 digits.
[6,5,8] + [4,1] , A=[] , C=0 , 8+1+0=9 , A->9 , C->0
[6,5] + [4] , A=[9] , C=0 , 5+4+0=9 , A->9 , C->0
[6] + [] , A=[9,9] , C=0 , 6+0+0=6 , A->6 , C->0
[] + [] , A=[6,9,9] C=0 , END
</scratch>
699
| 699 |
Input:
687+854
Target:
| Input:
687+854
Target:
<scratch>
[6,8,7] has 3 digits.
[8,5,4] has 3 digits.
[6,8,7] + [8,5,4] , A=[] , C=0 , 7+4+0=11 , A->1 , C->1
[6,8] + [8,5] , A=[1] , C=1 , 8+5+1=14 , A->4 , C->1
[6] + [8] , A=[4,1] , C=1 , 6+8+1=15 , A->5 , C->1
[] + [] , A=[5,4,1] C=1 , END
</scratch>
1541
| 1541 |
Input:
213+655
Target:
| Input:
213+655
Target:
<scratch>
[2,1,3] has 3 digits.
[6,5,5] has 3 digits.
[2,1,3] + [6,5,5] , A=[] , C=0 , 3+5+0=8 , A->8 , C->0
[2,1] + [6,5] , A=[8] , C=0 , 1+5+0=6 , A->6 , C->0
[2] + [6] , A=[6,8] , C=0 , 2+6+0=8 , A->8 , C->0
[] + [] , A=[8,6,8] C=0 , END
</scratch>
868
| 868 |
Input:
427+688
Target:
| Input:
427+688
Target:
<scratch>
[4,2,7] has 3 digits.
[6,8,8] has 3 digits.
[4,2,7] + [6,8,8] , A=[] , C=0 , 7+8+0=15 , A->5 , C->1
[4,2] + [6,8] , A=[5] , C=1 , 2+8+1=11 , A->1 , C->1
[4] + [6] , A=[1,5] , C=1 , 4+6+1=11 , A->1 , C->1
[] + [] , A=[1,1,5] C=1 , END
</scratch>
1115
| 1115 |
Input:
652+949
Target:
| Input:
652+949
Target:
<scratch>
[6,5,2] has 3 digits.
[9,4,9] has 3 digits.
[6,5,2] + [9,4,9] , A=[] , C=0 , 2+9+0=11 , A->1 , C->1
[6,5] + [9,4] , A=[1] , C=1 , 5+4+1=10 , A->0 , C->1
[6] + [9] , A=[0,1] , C=1 , 6+9+1=16 , A->6 , C->1
[] + [] , A=[6,0,1] C=1 , END
</scratch>
1601
| 1601 |
Input:
898+134
Target:
| Input:
898+134
Target:
<scratch>
[8,9,8] has 3 digits.
[1,3,4] has 3 digits.
[8,9,8] + [1,3,4] , A=[] , C=0 , 8+4+0=12 , A->2 , C->1
[8,9] + [1,3] , A=[2] , C=1 , 9+3+1=13 , A->3 , C->1
[8] + [1] , A=[3,2] , C=1 , 8+1+1=10 , A->0 , C->1
[] + [] , A=[0,3,2] C=1 , END
</scratch>
1032
| 1032 |
Input:
198+885
Target:
| Input:
198+885
Target:
<scratch>
[1,9,8] has 3 digits.
[8,8,5] has 3 digits.
[1,9,8] + [8,8,5] , A=[] , C=0 , 8+5+0=13 , A->3 , C->1
[1,9] + [8,8] , A=[3] , C=1 , 9+8+1=18 , A->8 , C->1
[1] + [8] , A=[8,3] , C=1 , 1+8+1=10 , A->0 , C->1
[] + [] , A=[0,8,3] C=1 , END
</scratch>
1083
| 1083 |
Input:
125+321
Target:
| Input:
125+321
Target:
<scratch>
[1,2,5] has 3 digits.
[3,2,1] has 3 digits.
[1,2,5] + [3,2,1] , A=[] , C=0 , 5+1+0=6 , A->6 , C->0
[1,2] + [3,2] , A=[6] , C=0 , 2+2+0=4 , A->4 , C->0
[1] + [3] , A=[4,6] , C=0 , 1+3+0=4 , A->4 , C->0
[] + [] , A=[4,4,6] C=0 , END
</scratch>
446
| 446 |
Input:
105+223
Target:
| Input:
105+223
Target:
<scratch>
[1,0,5] has 3 digits.
[2,2,3] has 3 digits.
[1,0,5] + [2,2,3] , A=[] , C=0 , 5+3+0=8 , A->8 , C->0
[1,0] + [2,2] , A=[8] , C=0 , 0+2+0=2 , A->2 , C->0
[1] + [2] , A=[2,8] , C=0 , 1+2+0=3 , A->3 , C->0
[] + [] , A=[3,2,8] C=0 , END
</scratch>
328
| 328 |
Input:
875+868
Target:
| Input:
875+868
Target:
<scratch>
[8,7,5] has 3 digits.
[8,6,8] has 3 digits.
[8,7,5] + [8,6,8] , A=[] , C=0 , 5+8+0=13 , A->3 , C->1
[8,7] + [8,6] , A=[3] , C=1 , 7+6+1=14 , A->4 , C->1
[8] + [8] , A=[4,3] , C=1 , 8+8+1=17 , A->7 , C->1
[] + [] , A=[7,4,3] C=1 , END
</scratch>
1743
| 1743 |
Input:
120+523
Target:
| Input:
120+523
Target:
<scratch>
[1,2,0] has 3 digits.
[5,2,3] has 3 digits.
[1,2,0] + [5,2,3] , A=[] , C=0 , 0+3+0=3 , A->3 , C->0
[1,2] + [5,2] , A=[3] , C=0 , 2+2+0=4 , A->4 , C->0
[1] + [5] , A=[4,3] , C=0 , 1+5+0=6 , A->6 , C->0
[] + [] , A=[6,4,3] C=0 , END
</scratch>
643
| 643 |
Input:
109+991
Target:
| Input:
109+991
Target:
<scratch>
[1,0,9] has 3 digits.
[9,9,1] has 3 digits.
[1,0,9] + [9,9,1] , A=[] , C=0 , 9+1+0=10 , A->0 , C->1
[1,0] + [9,9] , A=[0] , C=1 , 0+9+1=10 , A->0 , C->1
[1] + [9] , A=[0,0] , C=1 , 1+9+1=11 , A->1 , C->1
[] + [] , A=[1,0,0] C=1 , END
</scratch>
1100
| 1100 |
Input:
64+431
Target:
| Input:
64+431
Target:
<scratch>
[6,4] has 2 digits.
[4,3,1] has 3 digits.
[6,4] + [4,3,1] , A=[] , C=0 , 4+1+0=5 , A->5 , C->0
[6] + [4,3] , A=[5] , C=0 , 6+3+0=9 , A->9 , C->0
[] + [4] , A=[9,5] , C=0 , 0+4+0=4 , A->4 , C->0
[] + [] , A=[4,9,5] C=0 , END
</scratch>
495
| 495 |
Input:
310+648
Target:
| Input:
310+648
Target:
<scratch>
[3,1,0] has 3 digits.
[6,4,8] has 3 digits.
[3,1,0] + [6,4,8] , A=[] , C=0 , 0+8+0=8 , A->8 , C->0
[3,1] + [6,4] , A=[8] , C=0 , 1+4+0=5 , A->5 , C->0
[3] + [6] , A=[5,8] , C=0 , 3+6+0=9 , A->9 , C->0
[] + [] , A=[9,5,8] C=0 , END
</scratch>
958
| 958 |
Input:
978+654
Target:
| Input:
978+654
Target:
<scratch>
[9,7,8] has 3 digits.
[6,5,4] has 3 digits.
[9,7,8] + [6,5,4] , A=[] , C=0 , 8+4+0=12 , A->2 , C->1
[9,7] + [6,5] , A=[2] , C=1 , 7+5+1=13 , A->3 , C->1
[9] + [6] , A=[3,2] , C=1 , 9+6+1=16 , A->6 , C->1
[] + [] , A=[6,3,2] C=1 , END
</scratch>
1632
| 1632 |
Input:
947+795
Target:
| Input:
947+795
Target:
<scratch>
[9,4,7] has 3 digits.
[7,9,5] has 3 digits.
[9,4,7] + [7,9,5] , A=[] , C=0 , 7+5+0=12 , A->2 , C->1
[9,4] + [7,9] , A=[2] , C=1 , 4+9+1=14 , A->4 , C->1
[9] + [7] , A=[4,2] , C=1 , 9+7+1=17 , A->7 , C->1
[] + [] , A=[7,4,2] C=1 , END
</scratch>
1742
| 1742 |
Input:
318+889
Target:
| Input:
318+889
Target:
<scratch>
[3,1,8] has 3 digits.
[8,8,9] has 3 digits.
[3,1,8] + [8,8,9] , A=[] , C=0 , 8+9+0=17 , A->7 , C->1
[3,1] + [8,8] , A=[7] , C=1 , 1+8+1=10 , A->0 , C->1
[3] + [8] , A=[0,7] , C=1 , 3+8+1=12 , A->2 , C->1
[] + [] , A=[2,0,7] C=1 , END
</scratch>
1207
| 1207 |
Input:
753+203
Target:
| Input:
753+203
Target:
<scratch>
[7,5,3] has 3 digits.
[2,0,3] has 3 digits.
[7,5,3] + [2,0,3] , A=[] , C=0 , 3+3+0=6 , A->6 , C->0
[7,5] + [2,0] , A=[6] , C=0 , 5+0+0=5 , A->5 , C->0
[7] + [2] , A=[5,6] , C=0 , 7+2+0=9 , A->9 , C->0
[] + [] , A=[9,5,6] C=0 , END
</scratch>
956
| 956 |
Input:
521+346
Target:
| Input:
521+346
Target:
<scratch>
[5,2,1] has 3 digits.
[3,4,6] has 3 digits.
[5,2,1] + [3,4,6] , A=[] , C=0 , 1+6+0=7 , A->7 , C->0
[5,2] + [3,4] , A=[7] , C=0 , 2+4+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:
795+469
Target:
| Input:
795+469
Target:
<scratch>
[7,9,5] has 3 digits.
[4,6,9] has 3 digits.
[7,9,5] + [4,6,9] , A=[] , C=0 , 5+9+0=14 , A->4 , C->1
[7,9] + [4,6] , A=[4] , C=1 , 9+6+1=16 , A->6 , C->1
[7] + [4] , A=[6,4] , C=1 , 7+4+1=12 , A->2 , C->1
[] + [] , A=[2,6,4] C=1 , END
</scratch>
1264
| 1264 |
Input:
235+777
Target:
| Input:
235+777
Target:
<scratch>
[2,3,5] has 3 digits.
[7,7,7] has 3 digits.
[2,3,5] + [7,7,7] , A=[] , C=0 , 5+7+0=12 , A->2 , C->1
[2,3] + [7,7] , A=[2] , C=1 , 3+7+1=11 , A->1 , C->1
[2] + [7] , A=[1,2] , C=1 , 2+7+1=10 , A->0 , C->1
[] + [] , A=[0,1,2] C=1 , END
</scratch>
1012
| 1012 |
Input:
544+241
Target:
| Input:
544+241
Target:
<scratch>
[5,4,4] has 3 digits.
[2,4,1] has 3 digits.
[5,4,4] + [2,4,1] , A=[] , C=0 , 4+1+0=5 , A->5 , C->0
[5,4] + [2,4] , A=[5] , C=0 , 4+4+0=8 , A->8 , C->0
[5] + [2] , A=[8,5] , C=0 , 5+2+0=7 , A->7 , C->0
[] + [] , A=[7,8,5] C=0 , END
</scratch>
785
| 785 |
Input:
543+46
Target:
| Input:
543+46
Target:
<scratch>
[5,4,3] has 3 digits.
[4,6] has 2 digits.
[5,4,3] + [4,6] , A=[] , C=0 , 3+6+0=9 , A->9 , C->0
[5,4] + [4] , A=[9] , C=0 , 4+4+0=8 , A->8 , C->0
[5] + [] , A=[8,9] , C=0 , 5+0+0=5 , A->5 , C->0
[] + [] , A=[5,8,9] C=0 , END
</scratch>
589
| 589 |
Input:
745+50
Target:
| Input:
745+50
Target:
<scratch>
[7,4,5] has 3 digits.
[5,0] has 2 digits.
[7,4,5] + [5,0] , A=[] , C=0 , 5+0+0=5 , A->5 , C->0
[7,4] + [5] , A=[5] , C=0 , 4+5+0=9 , A->9 , C->0
[7] + [] , A=[9,5] , C=0 , 7+0+0=7 , A->7 , C->0
[] + [] , A=[7,9,5] C=0 , END
</scratch>
795
| 795 |
Input:
265+624
Target:
| Input:
265+624
Target:
<scratch>
[2,6,5] has 3 digits.
[6,2,4] has 3 digits.
[2,6,5] + [6,2,4] , A=[] , C=0 , 5+4+0=9 , A->9 , C->0
[2,6] + [6,2] , A=[9] , C=0 , 6+2+0=8 , A->8 , C->0
[2] + [6] , A=[8,9] , C=0 , 2+6+0=8 , A->8 , C->0
[] + [] , A=[8,8,9] C=0 , END
</scratch>
889
| 889 |
Input:
624+354
Target:
| Input:
624+354
Target:
<scratch>
[6,2,4] has 3 digits.
[3,5,4] has 3 digits.
[6,2,4] + [3,5,4] , A=[] , C=0 , 4+4+0=8 , A->8 , C->0
[6,2] + [3,5] , A=[8] , C=0 , 2+5+0=7 , A->7 , C->0
[6] + [3] , A=[7,8] , C=0 , 6+3+0=9 , A->9 , C->0
[] + [] , A=[9,7,8] C=0 , END
</scratch>
978
| 978 |
Input:
37+451
Target:
| Input:
37+451
Target:
<scratch>
[3,7] has 2 digits.
[4,5,1] has 3 digits.
[3,7] + [4,5,1] , A=[] , C=0 , 7+1+0=8 , A->8 , C->0
[3] + [4,5] , A=[8] , C=0 , 3+5+0=8 , A->8 , C->0
[] + [4] , A=[8,8] , C=0 , 0+4+0=4 , A->4 , C->0
[] + [] , A=[4,8,8] C=0 , END
</scratch>
488
| 488 |
Input:
967+575
Target:
| Input:
967+575
Target:
<scratch>
[9,6,7] has 3 digits.
[5,7,5] has 3 digits.
[9,6,7] + [5,7,5] , A=[] , C=0 , 7+5+0=12 , A->2 , C->1
[9,6] + [5,7] , A=[2] , C=1 , 6+7+1=14 , A->4 , C->1
[9] + [5] , A=[4,2] , C=1 , 9+5+1=15 , A->5 , C->1
[] + [] , A=[5,4,2] C=1 , END
</scratch>
1542
| 1542 |
Input:
2+999
Target:
| Input:
2+999
Target:
<scratch>
[2] has 1 digits.
[9,9,9] has 3 digits.
[2] + [9,9,9] , A=[] , C=0 , 2+9+0=11 , A->1 , C->1
[] + [9,9] , A=[1] , C=1 , 0+9+1=10 , A->0 , C->1
[] + [9] , A=[0,1] , C=1 , 0+9+1=10 , A->0 , C->1
[] + [] , A=[0,0,1] C=1 , END
</scratch>
1001
| 1001 |
Input:
700+124
Target:
| Input:
700+124
Target:
<scratch>
[7,0,0] has 3 digits.
[1,2,4] has 3 digits.
[7,0,0] + [1,2,4] , A=[] , C=0 , 0+4+0=4 , A->4 , C->0
[7,0] + [1,2] , A=[4] , C=0 , 0+2+0=2 , A->2 , C->0
[7] + [1] , A=[2,4] , C=0 , 7+1+0=8 , A->8 , C->0
[] + [] , A=[8,2,4] C=0 , END
</scratch>
824
| 824 |
Input:
260+101
Target:
| Input:
260+101
Target:
<scratch>
[2,6,0] has 3 digits.
[1,0,1] has 3 digits.
[2,6,0] + [1,0,1] , A=[] , C=0 , 0+1+0=1 , A->1 , C->0
[2,6] + [1,0] , A=[1] , C=0 , 6+0+0=6 , A->6 , C->0
[2] + [1] , A=[6,1] , C=0 , 2+1+0=3 , A->3 , C->0
[] + [] , A=[3,6,1] C=0 , END
</scratch>
361
| 361 |
Input:
103+753
Target:
| Input:
103+753
Target:
<scratch>
[1,0,3] has 3 digits.
[7,5,3] has 3 digits.
[1,0,3] + [7,5,3] , A=[] , C=0 , 3+3+0=6 , A->6 , C->0
[1,0] + [7,5] , A=[6] , C=0 , 0+5+0=5 , A->5 , C->0
[1] + [7] , A=[5,6] , C=0 , 1+7+0=8 , A->8 , C->0
[] + [] , A=[8,5,6] C=0 , END
</scratch>
856
| 856 |
Input:
707+200
Target:
| Input:
707+200
Target:
<scratch>
[7,0,7] has 3 digits.
[2,0,0] has 3 digits.
[7,0,7] + [2,0,0] , A=[] , C=0 , 7+0+0=7 , A->7 , C->0
[7,0] + [2,0] , A=[7] , C=0 , 0+0+0=0 , A->0 , C->0
[7] + [2] , A=[0,7] , C=0 , 7+2+0=9 , A->9 , C->0
[] + [] , A=[9,0,7] C=0 , END
</scratch>
907
| 907 |
Input:
102+684
Target:
| Input:
102+684
Target:
<scratch>
[1,0,2] has 3 digits.
[6,8,4] has 3 digits.
[1,0,2] + [6,8,4] , A=[] , C=0 , 2+4+0=6 , A->6 , C->0
[1,0] + [6,8] , A=[6] , C=0 , 0+8+0=8 , A->8 , C->0
[1] + [6] , A=[8,6] , C=0 , 1+6+0=7 , A->7 , C->0
[] + [] , A=[7,8,6] C=0 , END
</scratch>
786
| 786 |
Input:
107+402
Target:
| Input:
107+402
Target:
<scratch>
[1,0,7] has 3 digits.
[4,0,2] has 3 digits.
[1,0,7] + [4,0,2] , A=[] , C=0 , 7+2+0=9 , A->9 , C->0
[1,0] + [4,0] , A=[9] , C=0 , 0+0+0=0 , A->0 , C->0
[1] + [4] , A=[0,9] , C=0 , 1+4+0=5 , A->5 , C->0
[] + [] , A=[5,0,9] C=0 , END
</scratch>
509
| 509 |
Input:
210+563
Target:
| Input:
210+563
Target:
<scratch>
[2,1,0] has 3 digits.
[5,6,3] has 3 digits.
[2,1,0] + [5,6,3] , A=[] , C=0 , 0+3+0=3 , A->3 , C->0
[2,1] + [5,6] , A=[3] , C=0 , 1+6+0=7 , A->7 , C->0
[2] + [5] , A=[7,3] , C=0 , 2+5+0=7 , A->7 , C->0
[] + [] , A=[7,7,3] C=0 , END
</scratch>
773
| 773 |
Input:
332+527
Target:
| Input:
332+527
Target:
<scratch>
[3,3,2] has 3 digits.
[5,2,7] has 3 digits.
[3,3,2] + [5,2,7] , A=[] , C=0 , 2+7+0=9 , A->9 , C->0
[3,3] + [5,2] , A=[9] , C=0 , 3+2+0=5 , A->5 , C->0
[3] + [5] , A=[5,9] , C=0 , 3+5+0=8 , A->8 , C->0
[] + [] , A=[8,5,9] C=0 , END
</scratch>
859
| 859 |
Input:
201+448
Target:
| Input:
201+448
Target:
<scratch>
[2,0,1] has 3 digits.
[4,4,8] has 3 digits.
[2,0,1] + [4,4,8] , A=[] , C=0 , 1+8+0=9 , A->9 , C->0
[2,0] + [4,4] , A=[9] , C=0 , 0+4+0=4 , A->4 , C->0
[2] + [4] , A=[4,9] , C=0 , 2+4+0=6 , A->6 , C->0
[] + [] , A=[6,4,9] C=0 , END
</scratch>
649
| 649 |
Input:
869+483
Target:
| Input:
869+483
Target:
<scratch>
[8,6,9] has 3 digits.
[4,8,3] has 3 digits.
[8,6,9] + [4,8,3] , A=[] , C=0 , 9+3+0=12 , A->2 , C->1
[8,6] + [4,8] , A=[2] , C=1 , 6+8+1=15 , A->5 , C->1
[8] + [4] , A=[5,2] , C=1 , 8+4+1=13 , A->3 , C->1
[] + [] , A=[3,5,2] C=1 , END
</scratch>
1352
| 1352 |
Input:
400+291
Target:
| Input:
400+291
Target:
<scratch>
[4,0,0] has 3 digits.
[2,9,1] has 3 digits.
[4,0,0] + [2,9,1] , A=[] , C=0 , 0+1+0=1 , A->1 , C->0
[4,0] + [2,9] , A=[1] , C=0 , 0+9+0=9 , A->9 , C->0
[4] + [2] , A=[9,1] , C=0 , 4+2+0=6 , A->6 , C->0
[] + [] , A=[6,9,1] C=0 , END
</scratch>
691
| 691 |
Input:
250+302
Target:
| Input:
250+302
Target:
<scratch>
[2,5,0] has 3 digits.
[3,0,2] has 3 digits.
[2,5,0] + [3,0,2] , A=[] , C=0 , 0+2+0=2 , A->2 , C->0
[2,5] + [3,0] , A=[2] , C=0 , 5+0+0=5 , A->5 , C->0
[2] + [3] , A=[5,2] , C=0 , 2+3+0=5 , A->5 , C->0
[] + [] , A=[5,5,2] C=0 , END
</scratch>
552
| 552 |
Input:
111+743
Target:
| Input:
111+743
Target:
<scratch>
[1,1,1] has 3 digits.
[7,4,3] has 3 digits.
[1,1,1] + [7,4,3] , A=[] , C=0 , 1+3+0=4 , A->4 , C->0
[1,1] + [7,4] , A=[4] , C=0 , 1+4+0=5 , A->5 , C->0
[1] + [7] , A=[5,4] , C=0 , 1+7+0=8 , A->8 , C->0
[] + [] , A=[8,5,4] C=0 , END
</scratch>
854
| 854 |
Input:
378+642
Target:
| Input:
378+642
Target:
<scratch>
[3,7,8] has 3 digits.
[6,4,2] has 3 digits.
[3,7,8] + [6,4,2] , A=[] , C=0 , 8+2+0=10 , A->0 , C->1
[3,7] + [6,4] , A=[0] , C=1 , 7+4+1=12 , A->2 , C->1
[3] + [6] , A=[2,0] , C=1 , 3+6+1=10 , A->0 , C->1
[] + [] , A=[0,2,0] C=1 , END
</scratch>
1020
| 1020 |
Input:
869+135
Target:
| Input:
869+135
Target:
<scratch>
[8,6,9] has 3 digits.
[1,3,5] has 3 digits.
[8,6,9] + [1,3,5] , A=[] , C=0 , 9+5+0=14 , A->4 , C->1
[8,6] + [1,3] , A=[4] , C=1 , 6+3+1=10 , A->0 , C->1
[8] + [1] , A=[0,4] , C=1 , 8+1+1=10 , A->0 , C->1
[] + [] , A=[0,0,4] C=1 , END
</scratch>
1004
| 1004 |
Input:
614+215
Target:
| Input:
614+215
Target:
<scratch>
[6,1,4] has 3 digits.
[2,1,5] has 3 digits.
[6,1,4] + [2,1,5] , A=[] , C=0 , 4+5+0=9 , A->9 , C->0
[6,1] + [2,1] , A=[9] , C=0 , 1+1+0=2 , A->2 , C->0
[6] + [2] , A=[2,9] , C=0 , 6+2+0=8 , A->8 , C->0
[] + [] , A=[8,2,9] C=0 , END
</scratch>
829
| 829 |
Input:
808+792
Target:
| Input:
808+792
Target:
<scratch>
[8,0,8] has 3 digits.
[7,9,2] has 3 digits.
[8,0,8] + [7,9,2] , A=[] , C=0 , 8+2+0=10 , A->0 , C->1
[8,0] + [7,9] , A=[0] , C=1 , 0+9+1=10 , A->0 , C->1
[8] + [7] , A=[0,0] , C=1 , 8+7+1=16 , A->6 , C->1
[] + [] , A=[6,0,0] C=1 , END
</scratch>
1600
| 1600 |
Input:
472+321
Target:
| Input:
472+321
Target:
<scratch>
[4,7,2] has 3 digits.
[3,2,1] has 3 digits.
[4,7,2] + [3,2,1] , A=[] , C=0 , 2+1+0=3 , A->3 , C->0
[4,7] + [3,2] , A=[3] , C=0 , 7+2+0=9 , A->9 , C->0
[4] + [3] , A=[9,3] , C=0 , 4+3+0=7 , A->7 , C->0
[] + [] , A=[7,9,3] C=0 , END
</scratch>
793
| 793 |
Input:
719+289
Target:
| Input:
719+289
Target:
<scratch>
[7,1,9] has 3 digits.
[2,8,9] has 3 digits.
[7,1,9] + [2,8,9] , A=[] , C=0 , 9+9+0=18 , A->8 , C->1
[7,1] + [2,8] , A=[8] , C=1 , 1+8+1=10 , A->0 , C->1
[7] + [2] , A=[0,8] , C=1 , 7+2+1=10 , A->0 , C->1
[] + [] , A=[0,0,8] C=1 , END
</scratch>
1008
| 1008 |
Input:
422+443
Target:
| Input:
422+443
Target:
<scratch>
[4,2,2] has 3 digits.
[4,4,3] has 3 digits.
[4,2,2] + [4,4,3] , A=[] , C=0 , 2+3+0=5 , A->5 , C->0
[4,2] + [4,4] , A=[5] , C=0 , 2+4+0=6 , A->6 , C->0
[4] + [4] , A=[6,5] , C=0 , 4+4+0=8 , A->8 , C->0
[] + [] , A=[8,6,5] C=0 , END
</scratch>
865
| 865 |
Subsets and Splits