nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
7,
24,
61,
70
] | 22 | [
"7+24=31",
"70-61=9",
"31-9=22"
] | Current State: 22:[7, 24, 61, 70], Operations: []
Exploring Operation: 7+24=31, Resulting Numbers: [61, 70, 31]
Generated Node #2: [61, 70, 31] from Operation: 7+24=31
Current State: 22:[61, 70, 31], Operations: ['7+24=31']
Exploring Operation: 70-61=9, Resulting Numbers: [31, 9]
Generated Node #3: [31, 9] from Operation: 70-61=9
Current State: 22:[31, 9], Operations: ['7+24=31', '70-61=9']
Exploring Operation: 31-9=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
53,
69,
61,
99
] | 21 | [
"61-53=8",
"69+99=168",
"168/8=21"
] | Current State: 21:[53, 69, 61, 99], Operations: []
Exploring Operation: 61-53=8, Resulting Numbers: [69, 99, 8]
Generated Node #2: [69, 99, 8] from Operation: 61-53=8
Current State: 21:[69, 99, 8], Operations: ['61-53=8']
Exploring Operation: 69+99=168, Resulting Numbers: [8, 168]
Generated Node #3: [8, 168] from Operation: 69+99=168
Current State: 21:[8, 168], Operations: ['61-53=8', '69+99=168']
Exploring Operation: 168/8=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
4,
10,
33,
60
] | 13 | [
"4+10=14",
"60-33=27",
"27-14=13"
] | Current State: 13:[4, 10, 33, 60], Operations: []
Exploring Operation: 4+10=14, Resulting Numbers: [33, 60, 14]
Generated Node #2: [33, 60, 14] from Operation: 4+10=14
Current State: 13:[33, 60, 14], Operations: ['4+10=14']
Exploring Operation: 60-33=27, Resulting Numbers: [14, 27]
Generated Node #3: [14, 27] from Operation: 60-33=27
Current State: 13:[14, 27], Operations: ['4+10=14', '60-33=27']
Exploring Operation: 27-14=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
69,
45,
90,
10
] | 74 | [
"90/45=2",
"10/2=5",
"69+5=74"
] | Current State: 74:[69, 45, 90, 10], Operations: []
Exploring Operation: 90/45=2, Resulting Numbers: [69, 10, 2]
Generated Node #2: [69, 10, 2] from Operation: 90/45=2
Current State: 74:[69, 10, 2], Operations: ['90/45=2']
Exploring Operation: 10/2=5, Resulting Numbers: [69, 5]
Generated Node #3: [69, 5] from Operation: 10/2=5
Current State: 74:[69, 5], Operations: ['90/45=2', '10/2=5']
Exploring Operation: 69+5=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
26,
49,
91,
4
] | 12 | [
"26+49=75",
"91-4=87",
"87-75=12"
] | Current State: 12:[26, 49, 91, 4], Operations: []
Exploring Operation: 26+49=75, Resulting Numbers: [91, 4, 75]
Generated Node #2: [91, 4, 75] from Operation: 26+49=75
Current State: 12:[91, 4, 75], Operations: ['26+49=75']
Exploring Operation: 91-4=87, Resulting Numbers: [75, 87]
Generated Node #3: [75, 87] from Operation: 91-4=87
Current State: 12:[75, 87], Operations: ['26+49=75', '91-4=87']
Exploring Operation: 87-75=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
30,
15,
12,
8
] | 90 | [
"12-8=4",
"15*4=60",
"30+60=90"
] | Current State: 90:[30, 15, 12, 8], Operations: []
Exploring Operation: 12-8=4, Resulting Numbers: [30, 15, 4]
Generated Node #2: [30, 15, 4] from Operation: 12-8=4
Current State: 90:[30, 15, 4], Operations: ['12-8=4']
Exploring Operation: 15*4=60, Resulting Numbers: [30, 60]
Generated Node #3: [30, 60] from Operation: 15*4=60
Current State: 90:[30, 60], Operations: ['12-8=4', '15*4=60']
Exploring Operation: 30+60=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
35,
5,
1,
72
] | 47 | [
"5+1=6",
"72/6=12",
"35+12=47"
] | Current State: 47:[35, 5, 1, 72], Operations: []
Exploring Operation: 5+1=6, Resulting Numbers: [35, 72, 6]
Generated Node #2: [35, 72, 6] from Operation: 5+1=6
Current State: 47:[35, 72, 6], Operations: ['5+1=6']
Exploring Operation: 72/6=12, Resulting Numbers: [35, 12]
Generated Node #3: [35, 12] from Operation: 72/6=12
Current State: 47:[35, 12], Operations: ['5+1=6', '72/6=12']
Exploring Operation: 35+12=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
5,
89,
36,
62
] | 87 | [
"36-5=31",
"62/31=2",
"89-2=87"
] | Current State: 87:[5, 89, 36, 62], Operations: []
Exploring Operation: 36-5=31, Resulting Numbers: [89, 62, 31]
Generated Node #2: [89, 62, 31] from Operation: 36-5=31
Current State: 87:[89, 62, 31], Operations: ['36-5=31']
Exploring Operation: 62/31=2, Resulting Numbers: [89, 2]
Generated Node #3: [89, 2] from Operation: 62/31=2
Current State: 87:[89, 2], Operations: ['36-5=31', '62/31=2']
Exploring Operation: 89-2=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
60,
14,
38,
52
] | 44 | [
"60-14=46",
"38+52=90",
"90-46=44"
] | Current State: 44:[60, 14, 38, 52], Operations: []
Exploring Operation: 60-14=46, Resulting Numbers: [38, 52, 46]
Generated Node #2: [38, 52, 46] from Operation: 60-14=46
Current State: 44:[38, 52, 46], Operations: ['60-14=46']
Exploring Operation: 38+52=90, Resulting Numbers: [46, 90]
Generated Node #3: [46, 90] from Operation: 38+52=90
Current State: 44:[46, 90], Operations: ['60-14=46', '38+52=90']
Exploring Operation: 90-46=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
77,
76,
8,
60
] | 69 | [
"77-76=1",
"8+60=68",
"1+68=69"
] | Current State: 69:[77, 76, 8, 60], Operations: []
Exploring Operation: 77-76=1, Resulting Numbers: [8, 60, 1]
Generated Node #2: [8, 60, 1] from Operation: 77-76=1
Current State: 69:[8, 60, 1], Operations: ['77-76=1']
Exploring Operation: 8+60=68, Resulting Numbers: [1, 68]
Generated Node #3: [1, 68] from Operation: 8+60=68
Current State: 69:[1, 68], Operations: ['77-76=1', '8+60=68']
Exploring Operation: 1+68=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
66,
12,
2,
25
] | 58 | [
"66-12=54",
"54-25=29",
"2*29=58"
] | Current State: 58:[66, 12, 2, 25], Operations: []
Exploring Operation: 66-12=54, Resulting Numbers: [2, 25, 54]
Generated Node #2: [2, 25, 54] from Operation: 66-12=54
Current State: 58:[2, 25, 54], Operations: ['66-12=54']
Exploring Operation: 54-25=29, Resulting Numbers: [2, 29]
Generated Node #3: [2, 29] from Operation: 54-25=29
Current State: 58:[2, 29], Operations: ['66-12=54', '54-25=29']
Exploring Operation: 2*29=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
25,
46,
11,
10
] | 39 | [
"25+46=71",
"11*10=110",
"110-71=39"
] | Current State: 39:[25, 46, 11, 10], Operations: []
Exploring Operation: 25+46=71, Resulting Numbers: [11, 10, 71]
Generated Node #2: [11, 10, 71] from Operation: 25+46=71
Current State: 39:[11, 10, 71], Operations: ['25+46=71']
Exploring Operation: 11*10=110, Resulting Numbers: [71, 110]
Generated Node #3: [71, 110] from Operation: 11*10=110
Current State: 39:[71, 110], Operations: ['25+46=71', '11*10=110']
Exploring Operation: 110-71=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
44,
11,
11,
16
] | 50 | [
"44+11=55",
"16-11=5",
"55-5=50"
] | Current State: 50:[44, 11, 11, 16], Operations: []
Exploring Operation: 44+11=55, Resulting Numbers: [16, 55]
Generated Node #2: [16, 55] from Operation: 44+11=55
Current State: 50:[16, 55], Operations: ['44+11=55']
Exploring Operation: 16-11=5, Resulting Numbers: [55, 5]
Generated Node #3: [55, 5] from Operation: 16-11=5
Current State: 50:[55, 5], Operations: ['44+11=55', '16-11=5']
Exploring Operation: 55-5=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
34,
10,
68,
96
] | 84 | [
"68/34=2",
"96-10=86",
"86-2=84"
] | Current State: 84:[34, 10, 68, 96], Operations: []
Exploring Operation: 68/34=2, Resulting Numbers: [10, 96, 2]
Generated Node #2: [10, 96, 2] from Operation: 68/34=2
Current State: 84:[10, 96, 2], Operations: ['68/34=2']
Exploring Operation: 96-10=86, Resulting Numbers: [2, 86]
Generated Node #3: [2, 86] from Operation: 96-10=86
Current State: 84:[2, 86], Operations: ['68/34=2', '96-10=86']
Exploring Operation: 86-2=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
81,
87,
90,
5
] | 89 | [
"87-81=6",
"90+5=95",
"95-6=89"
] | Current State: 89:[81, 87, 90, 5], Operations: []
Exploring Operation: 87-81=6, Resulting Numbers: [90, 5, 6]
Generated Node #2: [90, 5, 6] from Operation: 87-81=6
Current State: 89:[90, 5, 6], Operations: ['87-81=6']
Exploring Operation: 90+5=95, Resulting Numbers: [6, 95]
Generated Node #3: [6, 95] from Operation: 90+5=95
Current State: 89:[6, 95], Operations: ['87-81=6', '90+5=95']
Exploring Operation: 95-6=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
79,
99,
43,
68
] | 67 | [
"79+99=178",
"43+68=111",
"178-111=67"
] | Current State: 67:[79, 99, 43, 68], Operations: []
Exploring Operation: 79+99=178, Resulting Numbers: [43, 68, 178]
Generated Node #2: [43, 68, 178] from Operation: 79+99=178
Current State: 67:[43, 68, 178], Operations: ['79+99=178']
Exploring Operation: 43+68=111, Resulting Numbers: [178, 111]
Generated Node #3: [178, 111] from Operation: 43+68=111
Current State: 67:[178, 111], Operations: ['79+99=178', '43+68=111']
Exploring Operation: 178-111=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
73,
59,
8,
28
] | 84 | [
"73-59=14",
"8*14=112",
"112-28=84"
] | Current State: 84:[73, 59, 8, 28], Operations: []
Exploring Operation: 73-59=14, Resulting Numbers: [8, 28, 14]
Generated Node #2: [8, 28, 14] from Operation: 73-59=14
Current State: 84:[8, 28, 14], Operations: ['73-59=14']
Exploring Operation: 8*14=112, Resulting Numbers: [28, 112]
Generated Node #3: [28, 112] from Operation: 8*14=112
Current State: 84:[28, 112], Operations: ['73-59=14', '8*14=112']
Exploring Operation: 112-28=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
5,
15,
12,
4
] | 92 | [
"5+15=20",
"4*20=80",
"12+80=92"
] | Current State: 92:[5, 15, 12, 4], Operations: []
Exploring Operation: 5+15=20, Resulting Numbers: [12, 4, 20]
Generated Node #2: [12, 4, 20] from Operation: 5+15=20
Current State: 92:[12, 4, 20], Operations: ['5+15=20']
Exploring Operation: 4*20=80, Resulting Numbers: [12, 80]
Generated Node #3: [12, 80] from Operation: 4*20=80
Current State: 92:[12, 80], Operations: ['5+15=20', '4*20=80']
Exploring Operation: 12+80=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
27,
42,
90,
11
] | 32 | [
"27+42=69",
"90+11=101",
"101-69=32"
] | Current State: 32:[27, 42, 90, 11], Operations: []
Exploring Operation: 27+42=69, Resulting Numbers: [90, 11, 69]
Generated Node #2: [90, 11, 69] from Operation: 27+42=69
Current State: 32:[90, 11, 69], Operations: ['27+42=69']
Exploring Operation: 90+11=101, Resulting Numbers: [69, 101]
Generated Node #3: [69, 101] from Operation: 90+11=101
Current State: 32:[69, 101], Operations: ['27+42=69', '90+11=101']
Exploring Operation: 101-69=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
16,
76,
45,
5
] | 52 | [
"16+76=92",
"45-5=40",
"92-40=52"
] | Current State: 52:[16, 76, 45, 5], Operations: []
Exploring Operation: 16+76=92, Resulting Numbers: [45, 5, 92]
Generated Node #2: [45, 5, 92] from Operation: 16+76=92
Current State: 52:[45, 5, 92], Operations: ['16+76=92']
Exploring Operation: 45-5=40, Resulting Numbers: [92, 40]
Generated Node #3: [92, 40] from Operation: 45-5=40
Current State: 52:[92, 40], Operations: ['16+76=92', '45-5=40']
Exploring Operation: 92-40=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
49,
80,
5,
79
] | 22 | [
"80-49=31",
"79+31=110",
"110/5=22"
] | Current State: 22:[49, 80, 5, 79], Operations: []
Exploring Operation: 80-49=31, Resulting Numbers: [5, 79, 31]
Generated Node #2: [5, 79, 31] from Operation: 80-49=31
Current State: 22:[5, 79, 31], Operations: ['80-49=31']
Exploring Operation: 79+31=110, Resulting Numbers: [5, 110]
Generated Node #3: [5, 110] from Operation: 79+31=110
Current State: 22:[5, 110], Operations: ['80-49=31', '79+31=110']
Exploring Operation: 110/5=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
18,
3,
93,
9
] | 88 | [
"18/9=2",
"93-3=90",
"90-2=88"
] | Current State: 88:[18, 3, 93, 9], Operations: []
Exploring Operation: 18/9=2, Resulting Numbers: [3, 93, 2]
Generated Node #2: [3, 93, 2] from Operation: 18/9=2
Current State: 88:[3, 93, 2], Operations: ['18/9=2']
Exploring Operation: 93-3=90, Resulting Numbers: [2, 90]
Generated Node #3: [2, 90] from Operation: 93-3=90
Current State: 88:[2, 90], Operations: ['18/9=2', '93-3=90']
Exploring Operation: 90-2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
67,
4,
42,
6
] | 90 | [
"67*6=402",
"402-42=360",
"360/4=90"
] | Current State: 90:[67, 4, 42, 6], Operations: []
Exploring Operation: 67*6=402, Resulting Numbers: [4, 42, 402]
Generated Node #2: [4, 42, 402] from Operation: 67*6=402
Current State: 90:[4, 42, 402], Operations: ['67*6=402']
Exploring Operation: 402-42=360, Resulting Numbers: [4, 360]
Generated Node #3: [4, 360] from Operation: 402-42=360
Current State: 90:[4, 360], Operations: ['67*6=402', '402-42=360']
Exploring Operation: 360/4=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
16,
50,
20,
10
] | 37 | [
"16*20=320",
"50+320=370",
"370/10=37"
] | Current State: 37:[16, 50, 20, 10], Operations: []
Exploring Operation: 16*20=320, Resulting Numbers: [50, 10, 320]
Generated Node #2: [50, 10, 320] from Operation: 16*20=320
Current State: 37:[50, 10, 320], Operations: ['16*20=320']
Exploring Operation: 50+320=370, Resulting Numbers: [10, 370]
Generated Node #3: [10, 370] from Operation: 50+320=370
Current State: 37:[10, 370], Operations: ['16*20=320', '50+320=370']
Exploring Operation: 370/10=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
57,
9,
56,
50
] | 42 | [
"57-9=48",
"56-50=6",
"48-6=42"
] | Current State: 42:[57, 9, 56, 50], Operations: []
Exploring Operation: 57-9=48, Resulting Numbers: [56, 50, 48]
Generated Node #2: [56, 50, 48] from Operation: 57-9=48
Current State: 42:[56, 50, 48], Operations: ['57-9=48']
Exploring Operation: 56-50=6, Resulting Numbers: [48, 6]
Generated Node #3: [48, 6] from Operation: 56-50=6
Current State: 42:[48, 6], Operations: ['57-9=48', '56-50=6']
Exploring Operation: 48-6=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
38,
62,
75,
98
] | 47 | [
"62-38=24",
"98-75=23",
"24+23=47"
] | Current State: 47:[38, 62, 75, 98], Operations: []
Exploring Operation: 62-38=24, Resulting Numbers: [75, 98, 24]
Generated Node #2: [75, 98, 24] from Operation: 62-38=24
Current State: 47:[75, 98, 24], Operations: ['62-38=24']
Exploring Operation: 98-75=23, Resulting Numbers: [24, 23]
Generated Node #3: [24, 23] from Operation: 98-75=23
Current State: 47:[24, 23], Operations: ['62-38=24', '98-75=23']
Exploring Operation: 24+23=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
43,
76,
25,
80
] | 22 | [
"76-43=33",
"80-25=55",
"55-33=22"
] | Current State: 22:[43, 76, 25, 80], Operations: []
Exploring Operation: 76-43=33, Resulting Numbers: [25, 80, 33]
Generated Node #2: [25, 80, 33] from Operation: 76-43=33
Current State: 22:[25, 80, 33], Operations: ['76-43=33']
Exploring Operation: 80-25=55, Resulting Numbers: [33, 55]
Generated Node #3: [33, 55] from Operation: 80-25=55
Current State: 22:[33, 55], Operations: ['76-43=33', '80-25=55']
Exploring Operation: 55-33=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
71,
54,
65,
46
] | 36 | [
"71-54=17",
"65-46=19",
"17+19=36"
] | Current State: 36:[71, 54, 65, 46], Operations: []
Exploring Operation: 71-54=17, Resulting Numbers: [65, 46, 17]
Generated Node #2: [65, 46, 17] from Operation: 71-54=17
Current State: 36:[65, 46, 17], Operations: ['71-54=17']
Exploring Operation: 65-46=19, Resulting Numbers: [17, 19]
Generated Node #3: [17, 19] from Operation: 65-46=19
Current State: 36:[17, 19], Operations: ['71-54=17', '65-46=19']
Exploring Operation: 17+19=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
76,
10,
13,
60
] | 69 | [
"76-13=63",
"60/10=6",
"63+6=69"
] | Current State: 69:[76, 10, 13, 60], Operations: []
Exploring Operation: 76-13=63, Resulting Numbers: [10, 60, 63]
Generated Node #2: [10, 60, 63] from Operation: 76-13=63
Current State: 69:[10, 60, 63], Operations: ['76-13=63']
Exploring Operation: 60/10=6, Resulting Numbers: [63, 6]
Generated Node #3: [63, 6] from Operation: 60/10=6
Current State: 69:[63, 6], Operations: ['76-13=63', '60/10=6']
Exploring Operation: 63+6=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
33,
24,
42,
81
] | 48 | [
"33-24=9",
"81-42=39",
"9+39=48"
] | Current State: 48:[33, 24, 42, 81], Operations: []
Exploring Operation: 33-24=9, Resulting Numbers: [42, 81, 9]
Generated Node #2: [42, 81, 9] from Operation: 33-24=9
Current State: 48:[42, 81, 9], Operations: ['33-24=9']
Exploring Operation: 81-42=39, Resulting Numbers: [9, 39]
Generated Node #3: [9, 39] from Operation: 81-42=39
Current State: 48:[9, 39], Operations: ['33-24=9', '81-42=39']
Exploring Operation: 9+39=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
31,
29,
93,
60
] | 94 | [
"31+29=60",
"60/60=1",
"93+1=94"
] | Current State: 94:[31, 29, 93, 60], Operations: []
Exploring Operation: 31+29=60, Resulting Numbers: [93, 60, 60]
Generated Node #2: [93, 60, 60] from Operation: 31+29=60
Current State: 94:[93, 60, 60], Operations: ['31+29=60']
Exploring Operation: 60/60=1, Resulting Numbers: [93, 1]
Generated Node #3: [93, 1] from Operation: 60/60=1
Current State: 94:[93, 1], Operations: ['31+29=60', '60/60=1']
Exploring Operation: 93+1=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
77,
80,
37,
31
] | 80 | [
"80-77=3",
"37*3=111",
"111-31=80"
] | Current State: 80:[77, 80, 37, 31], Operations: []
Exploring Operation: 80-77=3, Resulting Numbers: [37, 31, 3]
Generated Node #2: [37, 31, 3] from Operation: 80-77=3
Current State: 80:[37, 31, 3], Operations: ['80-77=3']
Exploring Operation: 37*3=111, Resulting Numbers: [31, 111]
Generated Node #3: [31, 111] from Operation: 37*3=111
Current State: 80:[31, 111], Operations: ['80-77=3', '37*3=111']
Exploring Operation: 111-31=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
64,
3,
66,
81
] | 42 | [
"66-64=2",
"3+81=84",
"84/2=42"
] | Current State: 42:[64, 3, 66, 81], Operations: []
Exploring Operation: 66-64=2, Resulting Numbers: [3, 81, 2]
Generated Node #2: [3, 81, 2] from Operation: 66-64=2
Current State: 42:[3, 81, 2], Operations: ['66-64=2']
Exploring Operation: 3+81=84, Resulting Numbers: [2, 84]
Generated Node #3: [2, 84] from Operation: 3+81=84
Current State: 42:[2, 84], Operations: ['66-64=2', '3+81=84']
Exploring Operation: 84/2=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
59,
93,
45,
94
] | 83 | [
"93-59=34",
"94-45=49",
"34+49=83"
] | Current State: 83:[59, 93, 45, 94], Operations: []
Exploring Operation: 93-59=34, Resulting Numbers: [45, 94, 34]
Generated Node #2: [45, 94, 34] from Operation: 93-59=34
Current State: 83:[45, 94, 34], Operations: ['93-59=34']
Exploring Operation: 94-45=49, Resulting Numbers: [34, 49]
Generated Node #3: [34, 49] from Operation: 94-45=49
Current State: 83:[34, 49], Operations: ['93-59=34', '94-45=49']
Exploring Operation: 34+49=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
11,
24,
4,
72
] | 23 | [
"24/4=6",
"72/6=12",
"11+12=23"
] | Current State: 23:[11, 24, 4, 72], Operations: []
Exploring Operation: 24/4=6, Resulting Numbers: [11, 72, 6]
Generated Node #2: [11, 72, 6] from Operation: 24/4=6
Current State: 23:[11, 72, 6], Operations: ['24/4=6']
Exploring Operation: 72/6=12, Resulting Numbers: [11, 12]
Generated Node #3: [11, 12] from Operation: 72/6=12
Current State: 23:[11, 12], Operations: ['24/4=6', '72/6=12']
Exploring Operation: 11+12=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
15,
83,
89,
66
] | 24 | [
"89-83=6",
"15*6=90",
"90-66=24"
] | Current State: 24:[15, 83, 89, 66], Operations: []
Exploring Operation: 89-83=6, Resulting Numbers: [15, 66, 6]
Generated Node #2: [15, 66, 6] from Operation: 89-83=6
Current State: 24:[15, 66, 6], Operations: ['89-83=6']
Exploring Operation: 15*6=90, Resulting Numbers: [66, 90]
Generated Node #3: [66, 90] from Operation: 15*6=90
Current State: 24:[66, 90], Operations: ['89-83=6', '15*6=90']
Exploring Operation: 90-66=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
82,
68,
4,
31
] | 87 | [
"82-68=14",
"4*14=56",
"31+56=87"
] | Current State: 87:[82, 68, 4, 31], Operations: []
Exploring Operation: 82-68=14, Resulting Numbers: [4, 31, 14]
Generated Node #2: [4, 31, 14] from Operation: 82-68=14
Current State: 87:[4, 31, 14], Operations: ['82-68=14']
Exploring Operation: 4*14=56, Resulting Numbers: [31, 56]
Generated Node #3: [31, 56] from Operation: 4*14=56
Current State: 87:[31, 56], Operations: ['82-68=14', '4*14=56']
Exploring Operation: 31+56=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
21,
24,
61,
48
] | 80 | [
"21+61=82",
"48/24=2",
"82-2=80"
] | Current State: 80:[21, 24, 61, 48], Operations: []
Exploring Operation: 21+61=82, Resulting Numbers: [24, 48, 82]
Generated Node #2: [24, 48, 82] from Operation: 21+61=82
Current State: 80:[24, 48, 82], Operations: ['21+61=82']
Exploring Operation: 48/24=2, Resulting Numbers: [82, 2]
Generated Node #3: [82, 2] from Operation: 48/24=2
Current State: 80:[82, 2], Operations: ['21+61=82', '48/24=2']
Exploring Operation: 82-2=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
75,
22,
62,
62
] | 22 | [
"62-62=0",
"75*0=0",
"22+0=22"
] | Current State: 22:[75, 22, 62, 62], Operations: []
Exploring Operation: 62-62=0, Resulting Numbers: [75, 22, 0]
Generated Node #2: [75, 22, 0] from Operation: 62-62=0
Current State: 22:[75, 22, 0], Operations: ['62-62=0']
Exploring Operation: 75*0=0, Resulting Numbers: [22, 0]
Generated Node #3: [22, 0] from Operation: 75*0=0
Current State: 22:[22, 0], Operations: ['62-62=0', '75*0=0']
Exploring Operation: 22+0=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
28,
51,
2,
87
] | 83 | [
"28+51=79",
"87+79=166",
"166/2=83"
] | Current State: 83:[28, 51, 2, 87], Operations: []
Exploring Operation: 28+51=79, Resulting Numbers: [2, 87, 79]
Generated Node #2: [2, 87, 79] from Operation: 28+51=79
Current State: 83:[2, 87, 79], Operations: ['28+51=79']
Exploring Operation: 87+79=166, Resulting Numbers: [2, 166]
Generated Node #3: [2, 166] from Operation: 87+79=166
Current State: 83:[2, 166], Operations: ['28+51=79', '87+79=166']
Exploring Operation: 166/2=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
12,
57,
55,
58
] | 64 | [
"57-55=2",
"12/2=6",
"58+6=64"
] | Current State: 64:[12, 57, 55, 58], Operations: []
Exploring Operation: 57-55=2, Resulting Numbers: [12, 58, 2]
Generated Node #2: [12, 58, 2] from Operation: 57-55=2
Current State: 64:[12, 58, 2], Operations: ['57-55=2']
Exploring Operation: 12/2=6, Resulting Numbers: [58, 6]
Generated Node #3: [58, 6] from Operation: 12/2=6
Current State: 64:[58, 6], Operations: ['57-55=2', '12/2=6']
Exploring Operation: 58+6=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
20,
43,
27,
11
] | 53 | [
"20*27=540",
"43+540=583",
"583/11=53"
] | Current State: 53:[20, 43, 27, 11], Operations: []
Exploring Operation: 20*27=540, Resulting Numbers: [43, 11, 540]
Generated Node #2: [43, 11, 540] from Operation: 20*27=540
Current State: 53:[43, 11, 540], Operations: ['20*27=540']
Exploring Operation: 43+540=583, Resulting Numbers: [11, 583]
Generated Node #3: [11, 583] from Operation: 43+540=583
Current State: 53:[11, 583], Operations: ['20*27=540', '43+540=583']
Exploring Operation: 583/11=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
60,
70,
9,
9
] | 28 | [
"70-60=10",
"9+9=18",
"10+18=28"
] | Current State: 28:[60, 70, 9, 9], Operations: []
Exploring Operation: 70-60=10, Resulting Numbers: [9, 9, 10]
Generated Node #2: [9, 9, 10] from Operation: 70-60=10
Current State: 28:[9, 9, 10], Operations: ['70-60=10']
Exploring Operation: 9+9=18, Resulting Numbers: [10, 18]
Generated Node #3: [10, 18] from Operation: 9+9=18
Current State: 28:[10, 18], Operations: ['70-60=10', '9+9=18']
Exploring Operation: 10+18=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
44,
33,
9,
67
] | 90 | [
"44+33=77",
"77-67=10",
"9*10=90"
] | Current State: 90:[44, 33, 9, 67], Operations: []
Exploring Operation: 44+33=77, Resulting Numbers: [9, 67, 77]
Generated Node #2: [9, 67, 77] from Operation: 44+33=77
Current State: 90:[9, 67, 77], Operations: ['44+33=77']
Exploring Operation: 77-67=10, Resulting Numbers: [9, 10]
Generated Node #3: [9, 10] from Operation: 77-67=10
Current State: 90:[9, 10], Operations: ['44+33=77', '77-67=10']
Exploring Operation: 9*10=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
65,
59,
54,
18
] | 25 | [
"59-54=5",
"18*5=90",
"90-65=25"
] | Current State: 25:[65, 59, 54, 18], Operations: []
Exploring Operation: 59-54=5, Resulting Numbers: [65, 18, 5]
Generated Node #2: [65, 18, 5] from Operation: 59-54=5
Current State: 25:[65, 18, 5], Operations: ['59-54=5']
Exploring Operation: 18*5=90, Resulting Numbers: [65, 90]
Generated Node #3: [65, 90] from Operation: 18*5=90
Current State: 25:[65, 90], Operations: ['59-54=5', '18*5=90']
Exploring Operation: 90-65=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
17,
81,
25,
2
] | 91 | [
"81-17=64",
"25+2=27",
"64+27=91"
] | Current State: 91:[17, 81, 25, 2], Operations: []
Exploring Operation: 81-17=64, Resulting Numbers: [25, 2, 64]
Generated Node #2: [25, 2, 64] from Operation: 81-17=64
Current State: 91:[25, 2, 64], Operations: ['81-17=64']
Exploring Operation: 25+2=27, Resulting Numbers: [64, 27]
Generated Node #3: [64, 27] from Operation: 25+2=27
Current State: 91:[64, 27], Operations: ['81-17=64', '25+2=27']
Exploring Operation: 64+27=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
39,
65,
68,
39
] | 81 | [
"65-39=26",
"68+39=107",
"107-26=81"
] | Current State: 81:[39, 65, 68, 39], Operations: []
Exploring Operation: 65-39=26, Resulting Numbers: [68, 26]
Generated Node #2: [68, 26] from Operation: 65-39=26
Current State: 81:[68, 26], Operations: ['65-39=26']
Exploring Operation: 68+39=107, Resulting Numbers: [26, 107]
Generated Node #3: [26, 107] from Operation: 68+39=107
Current State: 81:[26, 107], Operations: ['65-39=26', '68+39=107']
Exploring Operation: 107-26=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
86,
49,
28,
95
] | 68 | [
"86+49=135",
"95-28=67",
"135-67=68"
] | Current State: 68:[86, 49, 28, 95], Operations: []
Exploring Operation: 86+49=135, Resulting Numbers: [28, 95, 135]
Generated Node #2: [28, 95, 135] from Operation: 86+49=135
Current State: 68:[28, 95, 135], Operations: ['86+49=135']
Exploring Operation: 95-28=67, Resulting Numbers: [135, 67]
Generated Node #3: [135, 67] from Operation: 95-28=67
Current State: 68:[135, 67], Operations: ['86+49=135', '95-28=67']
Exploring Operation: 135-67=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
2,
17,
64,
38
] | 83 | [
"2+17=19",
"64+38=102",
"102-19=83"
] | Current State: 83:[2, 17, 64, 38], Operations: []
Exploring Operation: 2+17=19, Resulting Numbers: [64, 38, 19]
Generated Node #2: [64, 38, 19] from Operation: 2+17=19
Current State: 83:[64, 38, 19], Operations: ['2+17=19']
Exploring Operation: 64+38=102, Resulting Numbers: [19, 102]
Generated Node #3: [19, 102] from Operation: 64+38=102
Current State: 83:[19, 102], Operations: ['2+17=19', '64+38=102']
Exploring Operation: 102-19=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
55,
29,
19,
90
] | 97 | [
"55-29=26",
"90-19=71",
"26+71=97"
] | Current State: 97:[55, 29, 19, 90], Operations: []
Exploring Operation: 55-29=26, Resulting Numbers: [19, 90, 26]
Generated Node #2: [19, 90, 26] from Operation: 55-29=26
Current State: 97:[19, 90, 26], Operations: ['55-29=26']
Exploring Operation: 90-19=71, Resulting Numbers: [26, 71]
Generated Node #3: [26, 71] from Operation: 90-19=71
Current State: 97:[26, 71], Operations: ['55-29=26', '90-19=71']
Exploring Operation: 26+71=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
62,
2,
98,
5
] | 43 | [
"62-2=60",
"98+5=103",
"103-60=43"
] | Current State: 43:[62, 2, 98, 5], Operations: []
Exploring Operation: 62-2=60, Resulting Numbers: [98, 5, 60]
Generated Node #2: [98, 5, 60] from Operation: 62-2=60
Current State: 43:[98, 5, 60], Operations: ['62-2=60']
Exploring Operation: 98+5=103, Resulting Numbers: [60, 103]
Generated Node #3: [60, 103] from Operation: 98+5=103
Current State: 43:[60, 103], Operations: ['62-2=60', '98+5=103']
Exploring Operation: 103-60=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
58,
37,
7,
78
] | 26 | [
"58-37=21",
"7*78=546",
"546/21=26"
] | Current State: 26:[58, 37, 7, 78], Operations: []
Exploring Operation: 58-37=21, Resulting Numbers: [7, 78, 21]
Generated Node #2: [7, 78, 21] from Operation: 58-37=21
Current State: 26:[7, 78, 21], Operations: ['58-37=21']
Exploring Operation: 7*78=546, Resulting Numbers: [21, 546]
Generated Node #3: [21, 546] from Operation: 7*78=546
Current State: 26:[21, 546], Operations: ['58-37=21', '7*78=546']
Exploring Operation: 546/21=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
27,
90,
24,
49
] | 38 | [
"90-27=63",
"49-24=25",
"63-25=38"
] | Current State: 38:[27, 90, 24, 49], Operations: []
Exploring Operation: 90-27=63, Resulting Numbers: [24, 49, 63]
Generated Node #2: [24, 49, 63] from Operation: 90-27=63
Current State: 38:[24, 49, 63], Operations: ['90-27=63']
Exploring Operation: 49-24=25, Resulting Numbers: [63, 25]
Generated Node #3: [63, 25] from Operation: 49-24=25
Current State: 38:[63, 25], Operations: ['90-27=63', '49-24=25']
Exploring Operation: 63-25=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
33,
17,
79,
76
] | 28 | [
"79-76=3",
"33/3=11",
"17+11=28"
] | Current State: 28:[33, 17, 79, 76], Operations: []
Exploring Operation: 79-76=3, Resulting Numbers: [33, 17, 3]
Generated Node #2: [33, 17, 3] from Operation: 79-76=3
Current State: 28:[33, 17, 3], Operations: ['79-76=3']
Exploring Operation: 33/3=11, Resulting Numbers: [17, 11]
Generated Node #3: [17, 11] from Operation: 33/3=11
Current State: 28:[17, 11], Operations: ['79-76=3', '33/3=11']
Exploring Operation: 17+11=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
2,
22,
88,
4
] | 75 | [
"22+4=26",
"26/2=13",
"88-13=75"
] | Current State: 75:[2, 22, 88, 4], Operations: []
Exploring Operation: 22+4=26, Resulting Numbers: [2, 88, 26]
Generated Node #2: [2, 88, 26] from Operation: 22+4=26
Current State: 75:[2, 88, 26], Operations: ['22+4=26']
Exploring Operation: 26/2=13, Resulting Numbers: [88, 13]
Generated Node #3: [88, 13] from Operation: 26/2=13
Current State: 75:[88, 13], Operations: ['22+4=26', '26/2=13']
Exploring Operation: 88-13=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
95,
21,
20,
50
] | 45 | [
"95-50=45",
"21-20=1",
"45*1=45"
] | Current State: 45:[95, 21, 20, 50], Operations: []
Exploring Operation: 95-50=45, Resulting Numbers: [21, 20, 45]
Generated Node #2: [21, 20, 45] from Operation: 95-50=45
Current State: 45:[21, 20, 45], Operations: ['95-50=45']
Exploring Operation: 21-20=1, Resulting Numbers: [45, 1]
Generated Node #3: [45, 1] from Operation: 21-20=1
Current State: 45:[45, 1], Operations: ['95-50=45', '21-20=1']
Exploring Operation: 45*1=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
17,
14,
32,
2
] | 34 | [
"17*32=544",
"14+2=16",
"544/16=34"
] | Current State: 34:[17, 14, 32, 2], Operations: []
Exploring Operation: 17*32=544, Resulting Numbers: [14, 2, 544]
Generated Node #2: [14, 2, 544] from Operation: 17*32=544
Current State: 34:[14, 2, 544], Operations: ['17*32=544']
Exploring Operation: 14+2=16, Resulting Numbers: [544, 16]
Generated Node #3: [544, 16] from Operation: 14+2=16
Current State: 34:[544, 16], Operations: ['17*32=544', '14+2=16']
Exploring Operation: 544/16=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
38,
31,
53,
84
] | 39 | [
"31+53=84",
"84/84=1",
"38+1=39"
] | Current State: 39:[38, 31, 53, 84], Operations: []
Exploring Operation: 31+53=84, Resulting Numbers: [38, 84, 84]
Generated Node #2: [38, 84, 84] from Operation: 31+53=84
Current State: 39:[38, 84, 84], Operations: ['31+53=84']
Exploring Operation: 84/84=1, Resulting Numbers: [38, 1]
Generated Node #3: [38, 1] from Operation: 84/84=1
Current State: 39:[38, 1], Operations: ['31+53=84', '84/84=1']
Exploring Operation: 38+1=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
83,
56,
38,
30
] | 67 | [
"83*30=2490",
"56+2490=2546",
"2546/38=67"
] | Current State: 67:[83, 56, 38, 30], Operations: []
Exploring Operation: 83*30=2490, Resulting Numbers: [56, 38, 2490]
Generated Node #2: [56, 38, 2490] from Operation: 83*30=2490
Current State: 67:[56, 38, 2490], Operations: ['83*30=2490']
Exploring Operation: 56+2490=2546, Resulting Numbers: [38, 2546]
Generated Node #3: [38, 2546] from Operation: 56+2490=2546
Current State: 67:[38, 2546], Operations: ['83*30=2490', '56+2490=2546']
Exploring Operation: 2546/38=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
70,
41,
70,
15
] | 84 | [
"70-41=29",
"70-15=55",
"29+55=84"
] | Current State: 84:[70, 41, 70, 15], Operations: []
Exploring Operation: 70-41=29, Resulting Numbers: [15, 29]
Generated Node #2: [15, 29] from Operation: 70-41=29
Current State: 84:[15, 29], Operations: ['70-41=29']
Exploring Operation: 70-15=55, Resulting Numbers: [29, 55]
Generated Node #3: [29, 55] from Operation: 70-15=55
Current State: 84:[29, 55], Operations: ['70-41=29', '70-15=55']
Exploring Operation: 29+55=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
61,
78,
92,
46
] | 22 | [
"78*46=3588",
"3588/92=39",
"61-39=22"
] | Current State: 22:[61, 78, 92, 46], Operations: []
Exploring Operation: 78*46=3588, Resulting Numbers: [61, 92, 3588]
Generated Node #2: [61, 92, 3588] from Operation: 78*46=3588
Current State: 22:[61, 92, 3588], Operations: ['78*46=3588']
Exploring Operation: 3588/92=39, Resulting Numbers: [61, 39]
Generated Node #3: [61, 39] from Operation: 3588/92=39
Current State: 22:[61, 39], Operations: ['78*46=3588', '3588/92=39']
Exploring Operation: 61-39=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
11,
6,
65,
14
] | 23 | [
"65-11=54",
"54/6=9",
"14+9=23"
] | Current State: 23:[11, 6, 65, 14], Operations: []
Exploring Operation: 65-11=54, Resulting Numbers: [6, 14, 54]
Generated Node #2: [6, 14, 54] from Operation: 65-11=54
Current State: 23:[6, 14, 54], Operations: ['65-11=54']
Exploring Operation: 54/6=9, Resulting Numbers: [14, 9]
Generated Node #3: [14, 9] from Operation: 54/6=9
Current State: 23:[14, 9], Operations: ['65-11=54', '54/6=9']
Exploring Operation: 14+9=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
40,
91,
86,
73
] | 47 | [
"86-73=13",
"91/13=7",
"40+7=47"
] | Current State: 47:[40, 91, 86, 73], Operations: []
Exploring Operation: 86-73=13, Resulting Numbers: [40, 91, 13]
Generated Node #2: [40, 91, 13] from Operation: 86-73=13
Current State: 47:[40, 91, 13], Operations: ['86-73=13']
Exploring Operation: 91/13=7, Resulting Numbers: [40, 7]
Generated Node #3: [40, 7] from Operation: 91/13=7
Current State: 47:[40, 7], Operations: ['86-73=13', '91/13=7']
Exploring Operation: 40+7=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
4,
73,
44,
23
] | 39 | [
"44/4=11",
"73-23=50",
"50-11=39"
] | Current State: 39:[4, 73, 44, 23], Operations: []
Exploring Operation: 44/4=11, Resulting Numbers: [73, 23, 11]
Generated Node #2: [73, 23, 11] from Operation: 44/4=11
Current State: 39:[73, 23, 11], Operations: ['44/4=11']
Exploring Operation: 73-23=50, Resulting Numbers: [11, 50]
Generated Node #3: [11, 50] from Operation: 73-23=50
Current State: 39:[11, 50], Operations: ['44/4=11', '73-23=50']
Exploring Operation: 50-11=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
24,
26,
73,
14
] | 89 | [
"26-24=2",
"73+14=87",
"2+87=89"
] | Current State: 89:[24, 26, 73, 14], Operations: []
Exploring Operation: 26-24=2, Resulting Numbers: [73, 14, 2]
Generated Node #2: [73, 14, 2] from Operation: 26-24=2
Current State: 89:[73, 14, 2], Operations: ['26-24=2']
Exploring Operation: 73+14=87, Resulting Numbers: [2, 87]
Generated Node #3: [2, 87] from Operation: 73+14=87
Current State: 89:[2, 87], Operations: ['26-24=2', '73+14=87']
Exploring Operation: 2+87=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
78,
65,
7,
71
] | 64 | [
"78-7=71",
"71/71=1",
"65-1=64"
] | Current State: 64:[78, 65, 7, 71], Operations: []
Exploring Operation: 78-7=71, Resulting Numbers: [65, 71, 71]
Generated Node #2: [65, 71, 71] from Operation: 78-7=71
Current State: 64:[65, 71, 71], Operations: ['78-7=71']
Exploring Operation: 71/71=1, Resulting Numbers: [65, 1]
Generated Node #3: [65, 1] from Operation: 71/71=1
Current State: 64:[65, 1], Operations: ['78-7=71', '71/71=1']
Exploring Operation: 65-1=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
89,
47,
62,
41
] | 62 | [
"89-47=42",
"42-41=1",
"62*1=62"
] | Current State: 62:[89, 47, 62, 41], Operations: []
Exploring Operation: 89-47=42, Resulting Numbers: [62, 41, 42]
Generated Node #2: [62, 41, 42] from Operation: 89-47=42
Current State: 62:[62, 41, 42], Operations: ['89-47=42']
Exploring Operation: 42-41=1, Resulting Numbers: [62, 1]
Generated Node #3: [62, 1] from Operation: 42-41=1
Current State: 62:[62, 1], Operations: ['89-47=42', '42-41=1']
Exploring Operation: 62*1=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
21,
23,
97,
69
] | 34 | [
"21*69=1449",
"1449/23=63",
"97-63=34"
] | Current State: 34:[21, 23, 97, 69], Operations: []
Exploring Operation: 21*69=1449, Resulting Numbers: [23, 97, 1449]
Generated Node #2: [23, 97, 1449] from Operation: 21*69=1449
Current State: 34:[23, 97, 1449], Operations: ['21*69=1449']
Exploring Operation: 1449/23=63, Resulting Numbers: [97, 63]
Generated Node #3: [97, 63] from Operation: 1449/23=63
Current State: 34:[97, 63], Operations: ['21*69=1449', '1449/23=63']
Exploring Operation: 97-63=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
3,
64,
87,
28
] | 61 | [
"87-3=84",
"84/28=3",
"64-3=61"
] | Current State: 61:[3, 64, 87, 28], Operations: []
Exploring Operation: 87-3=84, Resulting Numbers: [64, 28, 84]
Generated Node #2: [64, 28, 84] from Operation: 87-3=84
Current State: 61:[64, 28, 84], Operations: ['87-3=84']
Exploring Operation: 84/28=3, Resulting Numbers: [64, 3]
Generated Node #3: [64, 3] from Operation: 84/28=3
Current State: 61:[64, 3], Operations: ['87-3=84', '84/28=3']
Exploring Operation: 64-3=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
7,
47,
57,
36
] | 20 | [
"47+57=104",
"36+104=140",
"140/7=20"
] | Current State: 20:[7, 47, 57, 36], Operations: []
Exploring Operation: 47+57=104, Resulting Numbers: [7, 36, 104]
Generated Node #2: [7, 36, 104] from Operation: 47+57=104
Current State: 20:[7, 36, 104], Operations: ['47+57=104']
Exploring Operation: 36+104=140, Resulting Numbers: [7, 140]
Generated Node #3: [7, 140] from Operation: 36+104=140
Current State: 20:[7, 140], Operations: ['47+57=104', '36+104=140']
Exploring Operation: 140/7=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
16,
52,
55,
14
] | 62 | [
"16*52=832",
"55*14=770",
"832-770=62"
] | Current State: 62:[16, 52, 55, 14], Operations: []
Exploring Operation: 16*52=832, Resulting Numbers: [55, 14, 832]
Generated Node #2: [55, 14, 832] from Operation: 16*52=832
Current State: 62:[55, 14, 832], Operations: ['16*52=832']
Exploring Operation: 55*14=770, Resulting Numbers: [832, 770]
Generated Node #3: [832, 770] from Operation: 55*14=770
Current State: 62:[832, 770], Operations: ['16*52=832', '55*14=770']
Exploring Operation: 832-770=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
56,
31,
10,
79
] | 45 | [
"31+79=110",
"110/10=11",
"56-11=45"
] | Current State: 45:[56, 31, 10, 79], Operations: []
Exploring Operation: 31+79=110, Resulting Numbers: [56, 10, 110]
Generated Node #2: [56, 10, 110] from Operation: 31+79=110
Current State: 45:[56, 10, 110], Operations: ['31+79=110']
Exploring Operation: 110/10=11, Resulting Numbers: [56, 11]
Generated Node #3: [56, 11] from Operation: 110/10=11
Current State: 45:[56, 11], Operations: ['31+79=110', '110/10=11']
Exploring Operation: 56-11=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
93,
49,
55,
63
] | 84 | [
"93*49=4557",
"63+4557=4620",
"4620/55=84"
] | Current State: 84:[93, 49, 55, 63], Operations: []
Exploring Operation: 93*49=4557, Resulting Numbers: [55, 63, 4557]
Generated Node #2: [55, 63, 4557] from Operation: 93*49=4557
Current State: 84:[55, 63, 4557], Operations: ['93*49=4557']
Exploring Operation: 63+4557=4620, Resulting Numbers: [55, 4620]
Generated Node #3: [55, 4620] from Operation: 63+4557=4620
Current State: 84:[55, 4620], Operations: ['93*49=4557', '63+4557=4620']
Exploring Operation: 4620/55=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
57,
9,
15,
96
] | 64 | [
"9+96=105",
"105/15=7",
"57+7=64"
] | Current State: 64:[57, 9, 15, 96], Operations: []
Exploring Operation: 9+96=105, Resulting Numbers: [57, 15, 105]
Generated Node #2: [57, 15, 105] from Operation: 9+96=105
Current State: 64:[57, 15, 105], Operations: ['9+96=105']
Exploring Operation: 105/15=7, Resulting Numbers: [57, 7]
Generated Node #3: [57, 7] from Operation: 105/15=7
Current State: 64:[57, 7], Operations: ['9+96=105', '105/15=7']
Exploring Operation: 57+7=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
51,
2,
50,
79
] | 20 | [
"51-2=49",
"79-50=29",
"49-29=20"
] | Current State: 20:[51, 2, 50, 79], Operations: []
Exploring Operation: 51-2=49, Resulting Numbers: [50, 79, 49]
Generated Node #2: [50, 79, 49] from Operation: 51-2=49
Current State: 20:[50, 79, 49], Operations: ['51-2=49']
Exploring Operation: 79-50=29, Resulting Numbers: [49, 29]
Generated Node #3: [49, 29] from Operation: 79-50=29
Current State: 20:[49, 29], Operations: ['51-2=49', '79-50=29']
Exploring Operation: 49-29=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
36,
16,
93,
7
] | 55 | [
"93-36=57",
"16*7=112",
"112-57=55"
] | Current State: 55:[36, 16, 93, 7], Operations: []
Exploring Operation: 93-36=57, Resulting Numbers: [16, 7, 57]
Generated Node #2: [16, 7, 57] from Operation: 93-36=57
Current State: 55:[16, 7, 57], Operations: ['93-36=57']
Exploring Operation: 16*7=112, Resulting Numbers: [57, 112]
Generated Node #3: [57, 112] from Operation: 16*7=112
Current State: 55:[57, 112], Operations: ['93-36=57', '16*7=112']
Exploring Operation: 112-57=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
67,
40,
26,
83
] | 82 | [
"67-40=27",
"26+83=109",
"109-27=82"
] | Current State: 82:[67, 40, 26, 83], Operations: []
Exploring Operation: 67-40=27, Resulting Numbers: [26, 83, 27]
Generated Node #2: [26, 83, 27] from Operation: 67-40=27
Current State: 82:[26, 83, 27], Operations: ['67-40=27']
Exploring Operation: 26+83=109, Resulting Numbers: [27, 109]
Generated Node #3: [27, 109] from Operation: 26+83=109
Current State: 82:[27, 109], Operations: ['67-40=27', '26+83=109']
Exploring Operation: 109-27=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
17,
83,
51,
92
] | 43 | [
"17+83=100",
"51+92=143",
"143-100=43"
] | Current State: 43:[17, 83, 51, 92], Operations: []
Exploring Operation: 17+83=100, Resulting Numbers: [51, 92, 100]
Generated Node #2: [51, 92, 100] from Operation: 17+83=100
Current State: 43:[51, 92, 100], Operations: ['17+83=100']
Exploring Operation: 51+92=143, Resulting Numbers: [100, 143]
Generated Node #3: [100, 143] from Operation: 51+92=143
Current State: 43:[100, 143], Operations: ['17+83=100', '51+92=143']
Exploring Operation: 143-100=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
16,
71,
27,
27
] | 86 | [
"16+71=87",
"27/27=1",
"87-1=86"
] | Current State: 86:[16, 71, 27, 27], Operations: []
Exploring Operation: 16+71=87, Resulting Numbers: [27, 27, 87]
Generated Node #2: [27, 27, 87] from Operation: 16+71=87
Current State: 86:[27, 27, 87], Operations: ['16+71=87']
Exploring Operation: 27/27=1, Resulting Numbers: [87, 1]
Generated Node #3: [87, 1] from Operation: 27/27=1
Current State: 86:[87, 1], Operations: ['16+71=87', '27/27=1']
Exploring Operation: 87-1=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
20,
16,
33,
44
] | 29 | [
"20+44=64",
"64/16=4",
"33-4=29"
] | Current State: 29:[20, 16, 33, 44], Operations: []
Exploring Operation: 20+44=64, Resulting Numbers: [16, 33, 64]
Generated Node #2: [16, 33, 64] from Operation: 20+44=64
Current State: 29:[16, 33, 64], Operations: ['20+44=64']
Exploring Operation: 64/16=4, Resulting Numbers: [33, 4]
Generated Node #3: [33, 4] from Operation: 64/16=4
Current State: 29:[33, 4], Operations: ['20+44=64', '64/16=4']
Exploring Operation: 33-4=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
36,
28,
11,
18
] | 67 | [
"36*28=1008",
"1008/18=56",
"11+56=67"
] | Current State: 67:[36, 28, 11, 18], Operations: []
Exploring Operation: 36*28=1008, Resulting Numbers: [11, 18, 1008]
Generated Node #2: [11, 18, 1008] from Operation: 36*28=1008
Current State: 67:[11, 18, 1008], Operations: ['36*28=1008']
Exploring Operation: 1008/18=56, Resulting Numbers: [11, 56]
Generated Node #3: [11, 56] from Operation: 1008/18=56
Current State: 67:[11, 56], Operations: ['36*28=1008', '1008/18=56']
Exploring Operation: 11+56=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
20,
2,
42,
94
] | 100 | [
"94/2=47",
"47-42=5",
"20*5=100"
] | Current State: 100:[20, 2, 42, 94], Operations: []
Exploring Operation: 94/2=47, Resulting Numbers: [20, 42, 47]
Generated Node #2: [20, 42, 47] from Operation: 94/2=47
Current State: 100:[20, 42, 47], Operations: ['94/2=47']
Exploring Operation: 47-42=5, Resulting Numbers: [20, 5]
Generated Node #3: [20, 5] from Operation: 47-42=5
Current State: 100:[20, 5], Operations: ['94/2=47', '47-42=5']
Exploring Operation: 20*5=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
16,
56,
53,
10
] | 49 | [
"56-16=40",
"40/10=4",
"53-4=49"
] | Current State: 49:[16, 56, 53, 10], Operations: []
Exploring Operation: 56-16=40, Resulting Numbers: [53, 10, 40]
Generated Node #2: [53, 10, 40] from Operation: 56-16=40
Current State: 49:[53, 10, 40], Operations: ['56-16=40']
Exploring Operation: 40/10=4, Resulting Numbers: [53, 4]
Generated Node #3: [53, 4] from Operation: 40/10=4
Current State: 49:[53, 4], Operations: ['56-16=40', '40/10=4']
Exploring Operation: 53-4=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
36,
72,
30,
87
] | 27 | [
"72/36=2",
"30*2=60",
"87-60=27"
] | Current State: 27:[36, 72, 30, 87], Operations: []
Exploring Operation: 72/36=2, Resulting Numbers: [30, 87, 2]
Generated Node #2: [30, 87, 2] from Operation: 72/36=2
Current State: 27:[30, 87, 2], Operations: ['72/36=2']
Exploring Operation: 30*2=60, Resulting Numbers: [87, 60]
Generated Node #3: [87, 60] from Operation: 30*2=60
Current State: 27:[87, 60], Operations: ['72/36=2', '30*2=60']
Exploring Operation: 87-60=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
2,
65,
95,
78
] | 54 | [
"95-65=30",
"78+30=108",
"108/2=54"
] | Current State: 54:[2, 65, 95, 78], Operations: []
Exploring Operation: 95-65=30, Resulting Numbers: [2, 78, 30]
Generated Node #2: [2, 78, 30] from Operation: 95-65=30
Current State: 54:[2, 78, 30], Operations: ['95-65=30']
Exploring Operation: 78+30=108, Resulting Numbers: [2, 108]
Generated Node #3: [2, 108] from Operation: 78+30=108
Current State: 54:[2, 108], Operations: ['95-65=30', '78+30=108']
Exploring Operation: 108/2=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
15,
55,
95,
57
] | 47 | [
"55+95=150",
"150/15=10",
"57-10=47"
] | Current State: 47:[15, 55, 95, 57], Operations: []
Exploring Operation: 55+95=150, Resulting Numbers: [15, 57, 150]
Generated Node #2: [15, 57, 150] from Operation: 55+95=150
Current State: 47:[15, 57, 150], Operations: ['55+95=150']
Exploring Operation: 150/15=10, Resulting Numbers: [57, 10]
Generated Node #3: [57, 10] from Operation: 150/15=10
Current State: 47:[57, 10], Operations: ['55+95=150', '150/15=10']
Exploring Operation: 57-10=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
28,
86,
53,
28
] | 89 | [
"28+86=114",
"53-28=25",
"114-25=89"
] | Current State: 89:[28, 86, 53, 28], Operations: []
Exploring Operation: 28+86=114, Resulting Numbers: [53, 114]
Generated Node #2: [53, 114] from Operation: 28+86=114
Current State: 89:[53, 114], Operations: ['28+86=114']
Exploring Operation: 53-28=25, Resulting Numbers: [114, 25]
Generated Node #3: [114, 25] from Operation: 53-28=25
Current State: 89:[114, 25], Operations: ['28+86=114', '53-28=25']
Exploring Operation: 114-25=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
87,
88,
17,
65
] | 82 | [
"88-87=1",
"17+65=82",
"1*82=82"
] | Current State: 82:[87, 88, 17, 65], Operations: []
Exploring Operation: 88-87=1, Resulting Numbers: [17, 65, 1]
Generated Node #2: [17, 65, 1] from Operation: 88-87=1
Current State: 82:[17, 65, 1], Operations: ['88-87=1']
Exploring Operation: 17+65=82, Resulting Numbers: [1, 82]
Generated Node #3: [1, 82] from Operation: 17+65=82
Current State: 82:[1, 82], Operations: ['88-87=1', '17+65=82']
Exploring Operation: 1*82=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
7,
14,
54,
97
] | 41 | [
"14/7=2",
"97-54=43",
"43-2=41"
] | Current State: 41:[7, 14, 54, 97], Operations: []
Exploring Operation: 14/7=2, Resulting Numbers: [54, 97, 2]
Generated Node #2: [54, 97, 2] from Operation: 14/7=2
Current State: 41:[54, 97, 2], Operations: ['14/7=2']
Exploring Operation: 97-54=43, Resulting Numbers: [2, 43]
Generated Node #3: [2, 43] from Operation: 97-54=43
Current State: 41:[2, 43], Operations: ['14/7=2', '97-54=43']
Exploring Operation: 43-2=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
6,
59,
51,
17
] | 54 | [
"59-51=8",
"17-8=9",
"6*9=54"
] | Current State: 54:[6, 59, 51, 17], Operations: []
Exploring Operation: 59-51=8, Resulting Numbers: [6, 17, 8]
Generated Node #2: [6, 17, 8] from Operation: 59-51=8
Current State: 54:[6, 17, 8], Operations: ['59-51=8']
Exploring Operation: 17-8=9, Resulting Numbers: [6, 9]
Generated Node #3: [6, 9] from Operation: 17-8=9
Current State: 54:[6, 9], Operations: ['59-51=8', '17-8=9']
Exploring Operation: 6*9=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
28,
80,
84,
33
] | 26 | [
"84-80=4",
"28/4=7",
"33-7=26"
] | Current State: 26:[28, 80, 84, 33], Operations: []
Exploring Operation: 84-80=4, Resulting Numbers: [28, 33, 4]
Generated Node #2: [28, 33, 4] from Operation: 84-80=4
Current State: 26:[28, 33, 4], Operations: ['84-80=4']
Exploring Operation: 28/4=7, Resulting Numbers: [33, 7]
Generated Node #3: [33, 7] from Operation: 28/4=7
Current State: 26:[33, 7], Operations: ['84-80=4', '28/4=7']
Exploring Operation: 33-7=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
30,
48,
15,
6
] | 23 | [
"30-15=15",
"48/6=8",
"15+8=23"
] | Current State: 23:[30, 48, 15, 6], Operations: []
Exploring Operation: 30-15=15, Resulting Numbers: [48, 6, 15]
Generated Node #2: [48, 6, 15] from Operation: 30-15=15
Current State: 23:[48, 6, 15], Operations: ['30-15=15']
Exploring Operation: 48/6=8, Resulting Numbers: [15, 8]
Generated Node #3: [15, 8] from Operation: 48/6=8
Current State: 23:[15, 8], Operations: ['30-15=15', '48/6=8']
Exploring Operation: 15+8=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
9,
78,
24,
23
] | 29 | [
"78-24=54",
"54/9=6",
"23+6=29"
] | Current State: 29:[9, 78, 24, 23], Operations: []
Exploring Operation: 78-24=54, Resulting Numbers: [9, 23, 54]
Generated Node #2: [9, 23, 54] from Operation: 78-24=54
Current State: 29:[9, 23, 54], Operations: ['78-24=54']
Exploring Operation: 54/9=6, Resulting Numbers: [23, 6]
Generated Node #3: [23, 6] from Operation: 54/9=6
Current State: 29:[23, 6], Operations: ['78-24=54', '54/9=6']
Exploring Operation: 23+6=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
87,
3,
15,
20
] | 14 | [
"87+3=90",
"90/15=6",
"20-6=14"
] | Current State: 14:[87, 3, 15, 20], Operations: []
Exploring Operation: 87+3=90, Resulting Numbers: [15, 20, 90]
Generated Node #2: [15, 20, 90] from Operation: 87+3=90
Current State: 14:[15, 20, 90], Operations: ['87+3=90']
Exploring Operation: 90/15=6, Resulting Numbers: [20, 6]
Generated Node #3: [20, 6] from Operation: 90/15=6
Current State: 14:[20, 6], Operations: ['87+3=90', '90/15=6']
Exploring Operation: 20-6=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
72,
32,
93,
69
] | 96 | [
"72*32=2304",
"93-69=24",
"2304/24=96"
] | Current State: 96:[72, 32, 93, 69], Operations: []
Exploring Operation: 72*32=2304, Resulting Numbers: [93, 69, 2304]
Generated Node #2: [93, 69, 2304] from Operation: 72*32=2304
Current State: 96:[93, 69, 2304], Operations: ['72*32=2304']
Exploring Operation: 93-69=24, Resulting Numbers: [2304, 24]
Generated Node #3: [2304, 24] from Operation: 93-69=24
Current State: 96:[2304, 24], Operations: ['72*32=2304', '93-69=24']
Exploring Operation: 2304/24=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
9,
22,
81,
99
] | 79 | [
"9*22=198",
"198/99=2",
"81-2=79"
] | Current State: 79:[9, 22, 81, 99], Operations: []
Exploring Operation: 9*22=198, Resulting Numbers: [81, 99, 198]
Generated Node #2: [81, 99, 198] from Operation: 9*22=198
Current State: 79:[81, 99, 198], Operations: ['9*22=198']
Exploring Operation: 198/99=2, Resulting Numbers: [81, 2]
Generated Node #3: [81, 2] from Operation: 198/99=2
Current State: 79:[81, 2], Operations: ['9*22=198', '198/99=2']
Exploring Operation: 81-2=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
88,
22,
11,
38
] | 48 | [
"88+22=110",
"110/11=10",
"38+10=48"
] | Current State: 48:[88, 22, 11, 38], Operations: []
Exploring Operation: 88+22=110, Resulting Numbers: [11, 38, 110]
Generated Node #2: [11, 38, 110] from Operation: 88+22=110
Current State: 48:[11, 38, 110], Operations: ['88+22=110']
Exploring Operation: 110/11=10, Resulting Numbers: [38, 10]
Generated Node #3: [38, 10] from Operation: 110/11=10
Current State: 48:[38, 10], Operations: ['88+22=110', '110/11=10']
Exploring Operation: 38+10=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
11,
69,
76,
15
] | 28 | [
"15-11=4",
"76-69=7",
"4*7=28"
] | Current State: 28:[11, 69, 76, 15], Operations: []
Exploring Operation: 15-11=4, Resulting Numbers: [69, 76, 4]
Generated Node #2: [69, 76, 4] from Operation: 15-11=4
Current State: 28:[69, 76, 4], Operations: ['15-11=4']
Exploring Operation: 76-69=7, Resulting Numbers: [4, 7]
Generated Node #3: [4, 7] from Operation: 76-69=7
Current State: 28:[4, 7], Operations: ['15-11=4', '76-69=7']
Exploring Operation: 4*7=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
76,
52,
29,
65
] | 70 | [
"76-52=24",
"29+65=94",
"94-24=70"
] | Current State: 70:[76, 52, 29, 65], Operations: []
Exploring Operation: 76-52=24, Resulting Numbers: [29, 65, 24]
Generated Node #2: [29, 65, 24] from Operation: 76-52=24
Current State: 70:[29, 65, 24], Operations: ['76-52=24']
Exploring Operation: 29+65=94, Resulting Numbers: [24, 94]
Generated Node #3: [24, 94] from Operation: 29+65=94
Current State: 70:[24, 94], Operations: ['76-52=24', '29+65=94']
Exploring Operation: 94-24=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
31,
22,
54,
46
] | 47 | [
"31+22=53",
"54+46=100",
"100-53=47"
] | Current State: 47:[31, 22, 54, 46], Operations: []
Exploring Operation: 31+22=53, Resulting Numbers: [54, 46, 53]
Generated Node #2: [54, 46, 53] from Operation: 31+22=53
Current State: 47:[54, 46, 53], Operations: ['31+22=53']
Exploring Operation: 54+46=100, Resulting Numbers: [53, 100]
Generated Node #3: [53, 100] from Operation: 54+46=100
Current State: 47:[53, 100], Operations: ['31+22=53', '54+46=100']
Exploring Operation: 100-53=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
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