nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
36,
66,
13,
39
] | 42 | [
"36*39=1404",
"1404/13=108",
"108-66=42"
] | Current State: 42:[36, 66, 13, 39], Operations: []
Exploring Operation: 36*39=1404, Resulting Numbers: [66, 13, 1404]
Generated Node #2: [66, 13, 1404] from Operation: 36*39=1404
Current State: 42:[66, 13, 1404], Operations: ['36*39=1404']
Exploring Operation: 1404/13=108, Resulting Numbers: [66, 108]
Generated Node #3: [66, 108] from Operation: 1404/13=108
Current State: 42:[66, 108], Operations: ['36*39=1404', '1404/13=108']
Exploring Operation: 108-66=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
8,
63,
1,
24
] | 66 | [
"8*1=8",
"24/8=3",
"63+3=66"
] | Current State: 66:[8, 63, 1, 24], Operations: []
Exploring Operation: 8*1=8, Resulting Numbers: [63, 24, 8]
Generated Node #2: [63, 24, 8] from Operation: 8*1=8
Current State: 66:[63, 24, 8], Operations: ['8*1=8']
Exploring Operation: 24/8=3, Resulting Numbers: [63, 3]
Generated Node #3: [63, 3] from Operation: 24/8=3
Current State: 66:[63, 3], Operations: ['8*1=8', '24/8=3']
Exploring Operation: 63+3=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
3,
54,
26,
21
] | 29 | [
"54/3=18",
"26+21=47",
"47-18=29"
] | Current State: 29:[3, 54, 26, 21], Operations: []
Exploring Operation: 54/3=18, Resulting Numbers: [26, 21, 18]
Generated Node #2: [26, 21, 18] from Operation: 54/3=18
Current State: 29:[26, 21, 18], Operations: ['54/3=18']
Exploring Operation: 26+21=47, Resulting Numbers: [18, 47]
Generated Node #3: [18, 47] from Operation: 26+21=47
Current State: 29:[18, 47], Operations: ['54/3=18', '26+21=47']
Exploring Operation: 47-18=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
55,
92,
86,
67
] | 18 | [
"92-55=37",
"86-67=19",
"37-19=18"
] | Current State: 18:[55, 92, 86, 67], Operations: []
Exploring Operation: 92-55=37, Resulting Numbers: [86, 67, 37]
Generated Node #2: [86, 67, 37] from Operation: 92-55=37
Current State: 18:[86, 67, 37], Operations: ['92-55=37']
Exploring Operation: 86-67=19, Resulting Numbers: [37, 19]
Generated Node #3: [37, 19] from Operation: 86-67=19
Current State: 18:[37, 19], Operations: ['92-55=37', '86-67=19']
Exploring Operation: 37-19=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
84,
80,
89,
45
] | 91 | [
"84-80=4",
"45*4=180",
"180-89=91"
] | Current State: 91:[84, 80, 89, 45], Operations: []
Exploring Operation: 84-80=4, Resulting Numbers: [89, 45, 4]
Generated Node #2: [89, 45, 4] from Operation: 84-80=4
Current State: 91:[89, 45, 4], Operations: ['84-80=4']
Exploring Operation: 45*4=180, Resulting Numbers: [89, 180]
Generated Node #3: [89, 180] from Operation: 45*4=180
Current State: 91:[89, 180], Operations: ['84-80=4', '45*4=180']
Exploring Operation: 180-89=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
68,
47,
13,
59
] | 70 | [
"68-59=9",
"13*9=117",
"117-47=70"
] | Current State: 70:[68, 47, 13, 59], Operations: []
Exploring Operation: 68-59=9, Resulting Numbers: [47, 13, 9]
Generated Node #2: [47, 13, 9] from Operation: 68-59=9
Current State: 70:[47, 13, 9], Operations: ['68-59=9']
Exploring Operation: 13*9=117, Resulting Numbers: [47, 117]
Generated Node #3: [47, 117] from Operation: 13*9=117
Current State: 70:[47, 117], Operations: ['68-59=9', '13*9=117']
Exploring Operation: 117-47=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
2,
18,
59,
85
] | 17 | [
"18/2=9",
"85-59=26",
"26-9=17"
] | Current State: 17:[2, 18, 59, 85], Operations: []
Exploring Operation: 18/2=9, Resulting Numbers: [59, 85, 9]
Generated Node #2: [59, 85, 9] from Operation: 18/2=9
Current State: 17:[59, 85, 9], Operations: ['18/2=9']
Exploring Operation: 85-59=26, Resulting Numbers: [9, 26]
Generated Node #3: [9, 26] from Operation: 85-59=26
Current State: 17:[9, 26], Operations: ['18/2=9', '85-59=26']
Exploring Operation: 26-9=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
1,
19,
76,
93
] | 23 | [
"93-1=92",
"76/19=4",
"92/4=23"
] | Current State: 23:[1, 19, 76, 93], Operations: []
Exploring Operation: 93-1=92, Resulting Numbers: [19, 76, 92]
Generated Node #2: [19, 76, 92] from Operation: 93-1=92
Current State: 23:[19, 76, 92], Operations: ['93-1=92']
Exploring Operation: 76/19=4, Resulting Numbers: [92, 4]
Generated Node #3: [92, 4] from Operation: 76/19=4
Current State: 23:[92, 4], Operations: ['93-1=92', '76/19=4']
Exploring Operation: 92/4=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
1,
15,
82,
88
] | 96 | [
"1+15=16",
"88-82=6",
"16*6=96"
] | Current State: 96:[1, 15, 82, 88], Operations: []
Exploring Operation: 1+15=16, Resulting Numbers: [82, 88, 16]
Generated Node #2: [82, 88, 16] from Operation: 1+15=16
Current State: 96:[82, 88, 16], Operations: ['1+15=16']
Exploring Operation: 88-82=6, Resulting Numbers: [16, 6]
Generated Node #3: [16, 6] from Operation: 88-82=6
Current State: 96:[16, 6], Operations: ['1+15=16', '88-82=6']
Exploring Operation: 16*6=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
6,
15,
10,
53
] | 23 | [
"15-10=5",
"6*5=30",
"53-30=23"
] | Current State: 23:[6, 15, 10, 53], Operations: []
Exploring Operation: 15-10=5, Resulting Numbers: [6, 53, 5]
Generated Node #2: [6, 53, 5] from Operation: 15-10=5
Current State: 23:[6, 53, 5], Operations: ['15-10=5']
Exploring Operation: 6*5=30, Resulting Numbers: [53, 30]
Generated Node #3: [53, 30] from Operation: 6*5=30
Current State: 23:[53, 30], Operations: ['15-10=5', '6*5=30']
Exploring Operation: 53-30=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
57,
7,
94,
35
] | 94 | [
"57+94=151",
"7*35=245",
"245-151=94"
] | Current State: 94:[57, 7, 94, 35], Operations: []
Exploring Operation: 57+94=151, Resulting Numbers: [7, 35, 151]
Generated Node #2: [7, 35, 151] from Operation: 57+94=151
Current State: 94:[7, 35, 151], Operations: ['57+94=151']
Exploring Operation: 7*35=245, Resulting Numbers: [151, 245]
Generated Node #3: [151, 245] from Operation: 7*35=245
Current State: 94:[151, 245], Operations: ['57+94=151', '7*35=245']
Exploring Operation: 245-151=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
54,
54,
21,
2
] | 19 | [
"54-54=0",
"21-2=19",
"0+19=19"
] | Current State: 19:[54, 54, 21, 2], Operations: []
Exploring Operation: 54-54=0, Resulting Numbers: [21, 2, 0]
Generated Node #2: [21, 2, 0] from Operation: 54-54=0
Current State: 19:[21, 2, 0], Operations: ['54-54=0']
Exploring Operation: 21-2=19, Resulting Numbers: [0, 19]
Generated Node #3: [0, 19] from Operation: 21-2=19
Current State: 19:[0, 19], Operations: ['54-54=0', '21-2=19']
Exploring Operation: 0+19=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
53,
49,
50,
30
] | 59 | [
"53-50=3",
"30/3=10",
"49+10=59"
] | Current State: 59:[53, 49, 50, 30], Operations: []
Exploring Operation: 53-50=3, Resulting Numbers: [49, 30, 3]
Generated Node #2: [49, 30, 3] from Operation: 53-50=3
Current State: 59:[49, 30, 3], Operations: ['53-50=3']
Exploring Operation: 30/3=10, Resulting Numbers: [49, 10]
Generated Node #3: [49, 10] from Operation: 30/3=10
Current State: 59:[49, 10], Operations: ['53-50=3', '30/3=10']
Exploring Operation: 49+10=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
40,
68,
99,
84
] | 77 | [
"40+68=108",
"99*84=8316",
"8316/108=77"
] | Current State: 77:[40, 68, 99, 84], Operations: []
Exploring Operation: 40+68=108, Resulting Numbers: [99, 84, 108]
Generated Node #2: [99, 84, 108] from Operation: 40+68=108
Current State: 77:[99, 84, 108], Operations: ['40+68=108']
Exploring Operation: 99*84=8316, Resulting Numbers: [108, 8316]
Generated Node #3: [108, 8316] from Operation: 99*84=8316
Current State: 77:[108, 8316], Operations: ['40+68=108', '99*84=8316']
Exploring Operation: 8316/108=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
70,
14,
6,
53
] | 25 | [
"70+14=84",
"6+53=59",
"84-59=25"
] | Current State: 25:[70, 14, 6, 53], Operations: []
Exploring Operation: 70+14=84, Resulting Numbers: [6, 53, 84]
Generated Node #2: [6, 53, 84] from Operation: 70+14=84
Current State: 25:[6, 53, 84], Operations: ['70+14=84']
Exploring Operation: 6+53=59, Resulting Numbers: [84, 59]
Generated Node #3: [84, 59] from Operation: 6+53=59
Current State: 25:[84, 59], Operations: ['70+14=84', '6+53=59']
Exploring Operation: 84-59=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
95,
73,
20,
97
] | 91 | [
"95+73=168",
"97-20=77",
"168-77=91"
] | Current State: 91:[95, 73, 20, 97], Operations: []
Exploring Operation: 95+73=168, Resulting Numbers: [20, 97, 168]
Generated Node #2: [20, 97, 168] from Operation: 95+73=168
Current State: 91:[20, 97, 168], Operations: ['95+73=168']
Exploring Operation: 97-20=77, Resulting Numbers: [168, 77]
Generated Node #3: [168, 77] from Operation: 97-20=77
Current State: 91:[168, 77], Operations: ['95+73=168', '97-20=77']
Exploring Operation: 168-77=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
35,
82,
63,
69
] | 85 | [
"82-35=47",
"63+69=132",
"132-47=85"
] | Current State: 85:[35, 82, 63, 69], Operations: []
Exploring Operation: 82-35=47, Resulting Numbers: [63, 69, 47]
Generated Node #2: [63, 69, 47] from Operation: 82-35=47
Current State: 85:[63, 69, 47], Operations: ['82-35=47']
Exploring Operation: 63+69=132, Resulting Numbers: [47, 132]
Generated Node #3: [47, 132] from Operation: 63+69=132
Current State: 85:[47, 132], Operations: ['82-35=47', '63+69=132']
Exploring Operation: 132-47=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
73,
83,
11,
25
] | 85 | [
"83-73=10",
"11*10=110",
"110-25=85"
] | Current State: 85:[73, 83, 11, 25], Operations: []
Exploring Operation: 83-73=10, Resulting Numbers: [11, 25, 10]
Generated Node #2: [11, 25, 10] from Operation: 83-73=10
Current State: 85:[11, 25, 10], Operations: ['83-73=10']
Exploring Operation: 11*10=110, Resulting Numbers: [25, 110]
Generated Node #3: [25, 110] from Operation: 11*10=110
Current State: 85:[25, 110], Operations: ['83-73=10', '11*10=110']
Exploring Operation: 110-25=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
13,
49,
46,
60
] | 70 | [
"49-13=36",
"46+60=106",
"106-36=70"
] | Current State: 70:[13, 49, 46, 60], Operations: []
Exploring Operation: 49-13=36, Resulting Numbers: [46, 60, 36]
Generated Node #2: [46, 60, 36] from Operation: 49-13=36
Current State: 70:[46, 60, 36], Operations: ['49-13=36']
Exploring Operation: 46+60=106, Resulting Numbers: [36, 106]
Generated Node #3: [36, 106] from Operation: 46+60=106
Current State: 70:[36, 106], Operations: ['49-13=36', '46+60=106']
Exploring Operation: 106-36=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
3,
6,
22,
87
] | 27 | [
"3*22=66",
"6+87=93",
"93-66=27"
] | Current State: 27:[3, 6, 22, 87], Operations: []
Exploring Operation: 3*22=66, Resulting Numbers: [6, 87, 66]
Generated Node #2: [6, 87, 66] from Operation: 3*22=66
Current State: 27:[6, 87, 66], Operations: ['3*22=66']
Exploring Operation: 6+87=93, Resulting Numbers: [66, 93]
Generated Node #3: [66, 93] from Operation: 6+87=93
Current State: 27:[66, 93], Operations: ['3*22=66', '6+87=93']
Exploring Operation: 93-66=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
51,
37,
81,
3
] | 21 | [
"51+37=88",
"88-81=7",
"3*7=21"
] | Current State: 21:[51, 37, 81, 3], Operations: []
Exploring Operation: 51+37=88, Resulting Numbers: [81, 3, 88]
Generated Node #2: [81, 3, 88] from Operation: 51+37=88
Current State: 21:[81, 3, 88], Operations: ['51+37=88']
Exploring Operation: 88-81=7, Resulting Numbers: [3, 7]
Generated Node #3: [3, 7] from Operation: 88-81=7
Current State: 21:[3, 7], Operations: ['51+37=88', '88-81=7']
Exploring Operation: 3*7=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
28,
42,
11,
82
] | 23 | [
"28+42=70",
"11+82=93",
"93-70=23"
] | Current State: 23:[28, 42, 11, 82], Operations: []
Exploring Operation: 28+42=70, Resulting Numbers: [11, 82, 70]
Generated Node #2: [11, 82, 70] from Operation: 28+42=70
Current State: 23:[11, 82, 70], Operations: ['28+42=70']
Exploring Operation: 11+82=93, Resulting Numbers: [70, 93]
Generated Node #3: [70, 93] from Operation: 11+82=93
Current State: 23:[70, 93], Operations: ['28+42=70', '11+82=93']
Exploring Operation: 93-70=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
57,
85,
98,
58
] | 13 | [
"58-57=1",
"98-85=13",
"1*13=13"
] | Current State: 13:[57, 85, 98, 58], Operations: []
Exploring Operation: 58-57=1, Resulting Numbers: [85, 98, 1]
Generated Node #2: [85, 98, 1] from Operation: 58-57=1
Current State: 13:[85, 98, 1], Operations: ['58-57=1']
Exploring Operation: 98-85=13, Resulting Numbers: [1, 13]
Generated Node #3: [1, 13] from Operation: 98-85=13
Current State: 13:[1, 13], Operations: ['58-57=1', '98-85=13']
Exploring Operation: 1*13=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
3,
48,
2,
46
] | 94 | [
"3-2=1",
"48+46=94",
"1*94=94"
] | Current State: 94:[3, 48, 2, 46], Operations: []
Exploring Operation: 3-2=1, Resulting Numbers: [48, 46, 1]
Generated Node #2: [48, 46, 1] from Operation: 3-2=1
Current State: 94:[48, 46, 1], Operations: ['3-2=1']
Exploring Operation: 48+46=94, Resulting Numbers: [1, 94]
Generated Node #3: [1, 94] from Operation: 48+46=94
Current State: 94:[1, 94], Operations: ['3-2=1', '48+46=94']
Exploring Operation: 1*94=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
65,
92,
76,
44
] | 37 | [
"65+92=157",
"76+44=120",
"157-120=37"
] | Current State: 37:[65, 92, 76, 44], Operations: []
Exploring Operation: 65+92=157, Resulting Numbers: [76, 44, 157]
Generated Node #2: [76, 44, 157] from Operation: 65+92=157
Current State: 37:[76, 44, 157], Operations: ['65+92=157']
Exploring Operation: 76+44=120, Resulting Numbers: [157, 120]
Generated Node #3: [157, 120] from Operation: 76+44=120
Current State: 37:[157, 120], Operations: ['65+92=157', '76+44=120']
Exploring Operation: 157-120=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
19,
17,
55,
52
] | 81 | [
"19-17=2",
"52/2=26",
"55+26=81"
] | Current State: 81:[19, 17, 55, 52], Operations: []
Exploring Operation: 19-17=2, Resulting Numbers: [55, 52, 2]
Generated Node #2: [55, 52, 2] from Operation: 19-17=2
Current State: 81:[55, 52, 2], Operations: ['19-17=2']
Exploring Operation: 52/2=26, Resulting Numbers: [55, 26]
Generated Node #3: [55, 26] from Operation: 52/2=26
Current State: 81:[55, 26], Operations: ['19-17=2', '52/2=26']
Exploring Operation: 55+26=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
48,
45,
18,
72
] | 89 | [
"48+45=93",
"72/18=4",
"93-4=89"
] | Current State: 89:[48, 45, 18, 72], Operations: []
Exploring Operation: 48+45=93, Resulting Numbers: [18, 72, 93]
Generated Node #2: [18, 72, 93] from Operation: 48+45=93
Current State: 89:[18, 72, 93], Operations: ['48+45=93']
Exploring Operation: 72/18=4, Resulting Numbers: [93, 4]
Generated Node #3: [93, 4] from Operation: 72/18=4
Current State: 89:[93, 4], Operations: ['48+45=93', '72/18=4']
Exploring Operation: 93-4=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
98,
40,
50,
42
] | 74 | [
"98+50=148",
"42-40=2",
"148/2=74"
] | Current State: 74:[98, 40, 50, 42], Operations: []
Exploring Operation: 98+50=148, Resulting Numbers: [40, 42, 148]
Generated Node #2: [40, 42, 148] from Operation: 98+50=148
Current State: 74:[40, 42, 148], Operations: ['98+50=148']
Exploring Operation: 42-40=2, Resulting Numbers: [148, 2]
Generated Node #3: [148, 2] from Operation: 42-40=2
Current State: 74:[148, 2], Operations: ['98+50=148', '42-40=2']
Exploring Operation: 148/2=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
52,
48,
4,
72
] | 58 | [
"48/4=12",
"72/12=6",
"52+6=58"
] | Current State: 58:[52, 48, 4, 72], Operations: []
Exploring Operation: 48/4=12, Resulting Numbers: [52, 72, 12]
Generated Node #2: [52, 72, 12] from Operation: 48/4=12
Current State: 58:[52, 72, 12], Operations: ['48/4=12']
Exploring Operation: 72/12=6, Resulting Numbers: [52, 6]
Generated Node #3: [52, 6] from Operation: 72/12=6
Current State: 58:[52, 6], Operations: ['48/4=12', '72/12=6']
Exploring Operation: 52+6=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
59,
24,
38,
35
] | 51 | [
"38-35=3",
"24/3=8",
"59-8=51"
] | Current State: 51:[59, 24, 38, 35], Operations: []
Exploring Operation: 38-35=3, Resulting Numbers: [59, 24, 3]
Generated Node #2: [59, 24, 3] from Operation: 38-35=3
Current State: 51:[59, 24, 3], Operations: ['38-35=3']
Exploring Operation: 24/3=8, Resulting Numbers: [59, 8]
Generated Node #3: [59, 8] from Operation: 24/3=8
Current State: 51:[59, 8], Operations: ['38-35=3', '24/3=8']
Exploring Operation: 59-8=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
30,
97,
55,
97
] | 86 | [
"30+55=85",
"97/97=1",
"85+1=86"
] | Current State: 86:[30, 97, 55, 97], Operations: []
Exploring Operation: 30+55=85, Resulting Numbers: [97, 97, 85]
Generated Node #2: [97, 97, 85] from Operation: 30+55=85
Current State: 86:[97, 97, 85], Operations: ['30+55=85']
Exploring Operation: 97/97=1, Resulting Numbers: [85, 1]
Generated Node #3: [85, 1] from Operation: 97/97=1
Current State: 86:[85, 1], Operations: ['30+55=85', '97/97=1']
Exploring Operation: 85+1=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
8,
75,
90,
30
] | 70 | [
"8*75=600",
"600/30=20",
"90-20=70"
] | Current State: 70:[8, 75, 90, 30], Operations: []
Exploring Operation: 8*75=600, Resulting Numbers: [90, 30, 600]
Generated Node #2: [90, 30, 600] from Operation: 8*75=600
Current State: 70:[90, 30, 600], Operations: ['8*75=600']
Exploring Operation: 600/30=20, Resulting Numbers: [90, 20]
Generated Node #3: [90, 20] from Operation: 600/30=20
Current State: 70:[90, 20], Operations: ['8*75=600', '600/30=20']
Exploring Operation: 90-20=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
86,
56,
51,
80
] | 96 | [
"86*56=4816",
"80+4816=4896",
"4896/51=96"
] | Current State: 96:[86, 56, 51, 80], Operations: []
Exploring Operation: 86*56=4816, Resulting Numbers: [51, 80, 4816]
Generated Node #2: [51, 80, 4816] from Operation: 86*56=4816
Current State: 96:[51, 80, 4816], Operations: ['86*56=4816']
Exploring Operation: 80+4816=4896, Resulting Numbers: [51, 4896]
Generated Node #3: [51, 4896] from Operation: 80+4816=4896
Current State: 96:[51, 4896], Operations: ['86*56=4816', '80+4816=4896']
Exploring Operation: 4896/51=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
84,
14,
6,
84
] | 15 | [
"84/14=6",
"6+84=90",
"90/6=15"
] | Current State: 15:[84, 14, 6, 84], Operations: []
Exploring Operation: 84/14=6, Resulting Numbers: [6, 6]
Generated Node #2: [6, 6] from Operation: 84/14=6
Current State: 15:[6, 6], Operations: ['84/14=6']
Exploring Operation: 6+84=90, Resulting Numbers: [90]
90,15 equal: Goal Reached
Exploring Operation: 90/6=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
15,
11,
27,
8
] | 21 | [
"27*8=216",
"15+216=231",
"231/11=21"
] | Current State: 21:[15, 11, 27, 8], Operations: []
Exploring Operation: 27*8=216, Resulting Numbers: [15, 11, 216]
Generated Node #2: [15, 11, 216] from Operation: 27*8=216
Current State: 21:[15, 11, 216], Operations: ['27*8=216']
Exploring Operation: 15+216=231, Resulting Numbers: [11, 231]
Generated Node #3: [11, 231] from Operation: 15+216=231
Current State: 21:[11, 231], Operations: ['27*8=216', '15+216=231']
Exploring Operation: 231/11=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
15,
63,
24,
10
] | 82 | [
"63-15=48",
"24+10=34",
"48+34=82"
] | Current State: 82:[15, 63, 24, 10], Operations: []
Exploring Operation: 63-15=48, Resulting Numbers: [24, 10, 48]
Generated Node #2: [24, 10, 48] from Operation: 63-15=48
Current State: 82:[24, 10, 48], Operations: ['63-15=48']
Exploring Operation: 24+10=34, Resulting Numbers: [48, 34]
Generated Node #3: [48, 34] from Operation: 24+10=34
Current State: 82:[48, 34], Operations: ['63-15=48', '24+10=34']
Exploring Operation: 48+34=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
57,
1,
10,
94
] | 27 | [
"57*1=57",
"94-10=84",
"84-57=27"
] | Current State: 27:[57, 1, 10, 94], Operations: []
Exploring Operation: 57*1=57, Resulting Numbers: [10, 94, 57]
Generated Node #2: [10, 94, 57] from Operation: 57*1=57
Current State: 27:[10, 94, 57], Operations: ['57*1=57']
Exploring Operation: 94-10=84, Resulting Numbers: [57, 84]
Generated Node #3: [57, 84] from Operation: 94-10=84
Current State: 27:[57, 84], Operations: ['57*1=57', '94-10=84']
Exploring Operation: 84-57=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
49,
55,
2,
93
] | 89 | [
"55-49=6",
"2+93=95",
"95-6=89"
] | Current State: 89:[49, 55, 2, 93], Operations: []
Exploring Operation: 55-49=6, Resulting Numbers: [2, 93, 6]
Generated Node #2: [2, 93, 6] from Operation: 55-49=6
Current State: 89:[2, 93, 6], Operations: ['55-49=6']
Exploring Operation: 2+93=95, Resulting Numbers: [6, 95]
Generated Node #3: [6, 95] from Operation: 2+93=95
Current State: 89:[6, 95], Operations: ['55-49=6', '2+93=95']
Exploring Operation: 95-6=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
92,
76,
18,
66
] | 13 | [
"92+76=168",
"66+168=234",
"234/18=13"
] | Current State: 13:[92, 76, 18, 66], Operations: []
Exploring Operation: 92+76=168, Resulting Numbers: [18, 66, 168]
Generated Node #2: [18, 66, 168] from Operation: 92+76=168
Current State: 13:[18, 66, 168], Operations: ['92+76=168']
Exploring Operation: 66+168=234, Resulting Numbers: [18, 234]
Generated Node #3: [18, 234] from Operation: 66+168=234
Current State: 13:[18, 234], Operations: ['92+76=168', '66+168=234']
Exploring Operation: 234/18=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
35,
70,
53,
13
] | 14 | [
"53-35=18",
"18-13=5",
"70/5=14"
] | Current State: 14:[35, 70, 53, 13], Operations: []
Exploring Operation: 53-35=18, Resulting Numbers: [70, 13, 18]
Generated Node #2: [70, 13, 18] from Operation: 53-35=18
Current State: 14:[70, 13, 18], Operations: ['53-35=18']
Exploring Operation: 18-13=5, Resulting Numbers: [70, 5]
Generated Node #3: [70, 5] from Operation: 18-13=5
Current State: 14:[70, 5], Operations: ['53-35=18', '18-13=5']
Exploring Operation: 70/5=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
51,
13,
19,
11
] | 46 | [
"51-13=38",
"19-11=8",
"38+8=46"
] | Current State: 46:[51, 13, 19, 11], Operations: []
Exploring Operation: 51-13=38, Resulting Numbers: [19, 11, 38]
Generated Node #2: [19, 11, 38] from Operation: 51-13=38
Current State: 46:[19, 11, 38], Operations: ['51-13=38']
Exploring Operation: 19-11=8, Resulting Numbers: [38, 8]
Generated Node #3: [38, 8] from Operation: 19-11=8
Current State: 46:[38, 8], Operations: ['51-13=38', '19-11=8']
Exploring Operation: 38+8=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
65,
72,
5,
92
] | 61 | [
"92-72=20",
"20/5=4",
"65-4=61"
] | Current State: 61:[65, 72, 5, 92], Operations: []
Exploring Operation: 92-72=20, Resulting Numbers: [65, 5, 20]
Generated Node #2: [65, 5, 20] from Operation: 92-72=20
Current State: 61:[65, 5, 20], Operations: ['92-72=20']
Exploring Operation: 20/5=4, Resulting Numbers: [65, 4]
Generated Node #3: [65, 4] from Operation: 20/5=4
Current State: 61:[65, 4], Operations: ['92-72=20', '20/5=4']
Exploring Operation: 65-4=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
56,
22,
78,
14
] | 71 | [
"22-14=8",
"56/8=7",
"78-7=71"
] | Current State: 71:[56, 22, 78, 14], Operations: []
Exploring Operation: 22-14=8, Resulting Numbers: [56, 78, 8]
Generated Node #2: [56, 78, 8] from Operation: 22-14=8
Current State: 71:[56, 78, 8], Operations: ['22-14=8']
Exploring Operation: 56/8=7, Resulting Numbers: [78, 7]
Generated Node #3: [78, 7] from Operation: 56/8=7
Current State: 71:[78, 7], Operations: ['22-14=8', '56/8=7']
Exploring Operation: 78-7=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
63,
21,
24,
84
] | 76 | [
"63/21=3",
"24/3=8",
"84-8=76"
] | Current State: 76:[63, 21, 24, 84], Operations: []
Exploring Operation: 63/21=3, Resulting Numbers: [24, 84, 3]
Generated Node #2: [24, 84, 3] from Operation: 63/21=3
Current State: 76:[24, 84, 3], Operations: ['63/21=3']
Exploring Operation: 24/3=8, Resulting Numbers: [84, 8]
Generated Node #3: [84, 8] from Operation: 24/3=8
Current State: 76:[84, 8], Operations: ['63/21=3', '24/3=8']
Exploring Operation: 84-8=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
96,
91,
7,
94
] | 96 | [
"96-91=5",
"7+94=101",
"101-5=96"
] | Current State: 96:[96, 91, 7, 94], Operations: []
Exploring Operation: 96-91=5, Resulting Numbers: [7, 94, 5]
Generated Node #2: [7, 94, 5] from Operation: 96-91=5
Current State: 96:[7, 94, 5], Operations: ['96-91=5']
Exploring Operation: 7+94=101, Resulting Numbers: [5, 101]
Generated Node #3: [5, 101] from Operation: 7+94=101
Current State: 96:[5, 101], Operations: ['96-91=5', '7+94=101']
Exploring Operation: 101-5=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
90,
28,
63,
84
] | 80 | [
"84-28=56",
"90*56=5040",
"5040/63=80"
] | Current State: 80:[90, 28, 63, 84], Operations: []
Exploring Operation: 84-28=56, Resulting Numbers: [90, 63, 56]
Generated Node #2: [90, 63, 56] from Operation: 84-28=56
Current State: 80:[90, 63, 56], Operations: ['84-28=56']
Exploring Operation: 90*56=5040, Resulting Numbers: [63, 5040]
Generated Node #3: [63, 5040] from Operation: 90*56=5040
Current State: 80:[63, 5040], Operations: ['84-28=56', '90*56=5040']
Exploring Operation: 5040/63=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
13,
5,
19,
82
] | 78 | [
"13+19=32",
"5*32=160",
"160-82=78"
] | Current State: 78:[13, 5, 19, 82], Operations: []
Exploring Operation: 13+19=32, Resulting Numbers: [5, 82, 32]
Generated Node #2: [5, 82, 32] from Operation: 13+19=32
Current State: 78:[5, 82, 32], Operations: ['13+19=32']
Exploring Operation: 5*32=160, Resulting Numbers: [82, 160]
Generated Node #3: [82, 160] from Operation: 5*32=160
Current State: 78:[82, 160], Operations: ['13+19=32', '5*32=160']
Exploring Operation: 160-82=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
11,
44,
91,
63
] | 99 | [
"11+44=55",
"91+63=154",
"154-55=99"
] | Current State: 99:[11, 44, 91, 63], Operations: []
Exploring Operation: 11+44=55, Resulting Numbers: [91, 63, 55]
Generated Node #2: [91, 63, 55] from Operation: 11+44=55
Current State: 99:[91, 63, 55], Operations: ['11+44=55']
Exploring Operation: 91+63=154, Resulting Numbers: [55, 154]
Generated Node #3: [55, 154] from Operation: 91+63=154
Current State: 99:[55, 154], Operations: ['11+44=55', '91+63=154']
Exploring Operation: 154-55=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
56,
41,
7,
96
] | 47 | [
"56/7=8",
"96-41=55",
"55-8=47"
] | Current State: 47:[56, 41, 7, 96], Operations: []
Exploring Operation: 56/7=8, Resulting Numbers: [41, 96, 8]
Generated Node #2: [41, 96, 8] from Operation: 56/7=8
Current State: 47:[41, 96, 8], Operations: ['56/7=8']
Exploring Operation: 96-41=55, Resulting Numbers: [8, 55]
Generated Node #3: [8, 55] from Operation: 96-41=55
Current State: 47:[8, 55], Operations: ['56/7=8', '96-41=55']
Exploring Operation: 55-8=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
79,
68,
49,
8
] | 11 | [
"79+68=147",
"147/49=3",
"8+3=11"
] | Current State: 11:[79, 68, 49, 8], Operations: []
Exploring Operation: 79+68=147, Resulting Numbers: [49, 8, 147]
Generated Node #2: [49, 8, 147] from Operation: 79+68=147
Current State: 11:[49, 8, 147], Operations: ['79+68=147']
Exploring Operation: 147/49=3, Resulting Numbers: [8, 3]
Generated Node #3: [8, 3] from Operation: 147/49=3
Current State: 11:[8, 3], Operations: ['79+68=147', '147/49=3']
Exploring Operation: 8+3=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
55,
2,
85,
30
] | 45 | [
"85-55=30",
"30/2=15",
"30+15=45"
] | Current State: 45:[55, 2, 85, 30], Operations: []
Exploring Operation: 85-55=30, Resulting Numbers: [2, 30, 30]
Generated Node #2: [2, 30, 30] from Operation: 85-55=30
Current State: 45:[2, 30, 30], Operations: ['85-55=30']
Exploring Operation: 30/2=15, Resulting Numbers: [15]
15,45 equal: Goal Reached
Exploring Operation: 30+15=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
49,
39,
2,
90
] | 61 | [
"49+90=139",
"39*2=78",
"139-78=61"
] | Current State: 61:[49, 39, 2, 90], Operations: []
Exploring Operation: 49+90=139, Resulting Numbers: [39, 2, 139]
Generated Node #2: [39, 2, 139] from Operation: 49+90=139
Current State: 61:[39, 2, 139], Operations: ['49+90=139']
Exploring Operation: 39*2=78, Resulting Numbers: [139, 78]
Generated Node #3: [139, 78] from Operation: 39*2=78
Current State: 61:[139, 78], Operations: ['49+90=139', '39*2=78']
Exploring Operation: 139-78=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
13,
46,
70,
60
] | 84 | [
"70-60=10",
"13*10=130",
"130-46=84"
] | Current State: 84:[13, 46, 70, 60], Operations: []
Exploring Operation: 70-60=10, Resulting Numbers: [13, 46, 10]
Generated Node #2: [13, 46, 10] from Operation: 70-60=10
Current State: 84:[13, 46, 10], Operations: ['70-60=10']
Exploring Operation: 13*10=130, Resulting Numbers: [46, 130]
Generated Node #3: [46, 130] from Operation: 13*10=130
Current State: 84:[46, 130], Operations: ['70-60=10', '13*10=130']
Exploring Operation: 130-46=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
15,
51,
4,
51
] | 45 | [
"51/51=1",
"4-1=3",
"15*3=45"
] | Current State: 45:[15, 51, 4, 51], Operations: []
Exploring Operation: 51/51=1, Resulting Numbers: [15, 4, 1]
Generated Node #2: [15, 4, 1] from Operation: 51/51=1
Current State: 45:[15, 4, 1], Operations: ['51/51=1']
Exploring Operation: 4-1=3, Resulting Numbers: [15, 3]
Generated Node #3: [15, 3] from Operation: 4-1=3
Current State: 45:[15, 3], Operations: ['51/51=1', '4-1=3']
Exploring Operation: 15*3=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
14,
59,
75,
15
] | 68 | [
"14+59=73",
"75/15=5",
"73-5=68"
] | Current State: 68:[14, 59, 75, 15], Operations: []
Exploring Operation: 14+59=73, Resulting Numbers: [75, 15, 73]
Generated Node #2: [75, 15, 73] from Operation: 14+59=73
Current State: 68:[75, 15, 73], Operations: ['14+59=73']
Exploring Operation: 75/15=5, Resulting Numbers: [73, 5]
Generated Node #3: [73, 5] from Operation: 75/15=5
Current State: 68:[73, 5], Operations: ['14+59=73', '75/15=5']
Exploring Operation: 73-5=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
2,
34,
96,
35
] | 97 | [
"2+34=36",
"96-35=61",
"36+61=97"
] | Current State: 97:[2, 34, 96, 35], Operations: []
Exploring Operation: 2+34=36, Resulting Numbers: [96, 35, 36]
Generated Node #2: [96, 35, 36] from Operation: 2+34=36
Current State: 97:[96, 35, 36], Operations: ['2+34=36']
Exploring Operation: 96-35=61, Resulting Numbers: [36, 61]
Generated Node #3: [36, 61] from Operation: 96-35=61
Current State: 97:[36, 61], Operations: ['2+34=36', '96-35=61']
Exploring Operation: 36+61=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
51,
58,
88,
97
] | 100 | [
"51+58=109",
"97-88=9",
"109-9=100"
] | Current State: 100:[51, 58, 88, 97], Operations: []
Exploring Operation: 51+58=109, Resulting Numbers: [88, 97, 109]
Generated Node #2: [88, 97, 109] from Operation: 51+58=109
Current State: 100:[88, 97, 109], Operations: ['51+58=109']
Exploring Operation: 97-88=9, Resulting Numbers: [109, 9]
Generated Node #3: [109, 9] from Operation: 97-88=9
Current State: 100:[109, 9], Operations: ['51+58=109', '97-88=9']
Exploring Operation: 109-9=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
7,
21,
29,
95
] | 39 | [
"29-21=8",
"7*8=56",
"95-56=39"
] | Current State: 39:[7, 21, 29, 95], Operations: []
Exploring Operation: 29-21=8, Resulting Numbers: [7, 95, 8]
Generated Node #2: [7, 95, 8] from Operation: 29-21=8
Current State: 39:[7, 95, 8], Operations: ['29-21=8']
Exploring Operation: 7*8=56, Resulting Numbers: [95, 56]
Generated Node #3: [95, 56] from Operation: 7*8=56
Current State: 39:[95, 56], Operations: ['29-21=8', '7*8=56']
Exploring Operation: 95-56=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
84,
64,
9,
11
] | 40 | [
"84-64=20",
"9+11=20",
"20+20=40"
] | Current State: 40:[84, 64, 9, 11], Operations: []
Exploring Operation: 84-64=20, Resulting Numbers: [9, 11, 20]
Generated Node #2: [9, 11, 20] from Operation: 84-64=20
Current State: 40:[9, 11, 20], Operations: ['84-64=20']
Exploring Operation: 9+11=20, Resulting Numbers: [20, 20]
Generated Node #3: [20, 20] from Operation: 9+11=20
Current State: 40:[20, 20], Operations: ['84-64=20', '9+11=20']
Exploring Operation: 20+20=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
48,
27,
87,
19
] | 42 | [
"27+87=114",
"114/19=6",
"48-6=42"
] | Current State: 42:[48, 27, 87, 19], Operations: []
Exploring Operation: 27+87=114, Resulting Numbers: [48, 19, 114]
Generated Node #2: [48, 19, 114] from Operation: 27+87=114
Current State: 42:[48, 19, 114], Operations: ['27+87=114']
Exploring Operation: 114/19=6, Resulting Numbers: [48, 6]
Generated Node #3: [48, 6] from Operation: 114/19=6
Current State: 42:[48, 6], Operations: ['27+87=114', '114/19=6']
Exploring Operation: 48-6=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
15,
63,
90,
6
] | 10 | [
"15+90=105",
"6*105=630",
"630/63=10"
] | Current State: 10:[15, 63, 90, 6], Operations: []
Exploring Operation: 15+90=105, Resulting Numbers: [63, 6, 105]
Generated Node #2: [63, 6, 105] from Operation: 15+90=105
Current State: 10:[63, 6, 105], Operations: ['15+90=105']
Exploring Operation: 6*105=630, Resulting Numbers: [63, 630]
Generated Node #3: [63, 630] from Operation: 6*105=630
Current State: 10:[63, 630], Operations: ['15+90=105', '6*105=630']
Exploring Operation: 630/63=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
88,
44,
12,
69
] | 13 | [
"88-44=44",
"69-12=57",
"57-44=13"
] | Current State: 13:[88, 44, 12, 69], Operations: []
Exploring Operation: 88-44=44, Resulting Numbers: [12, 69, 44]
Generated Node #2: [12, 69, 44] from Operation: 88-44=44
Current State: 13:[12, 69, 44], Operations: ['88-44=44']
Exploring Operation: 69-12=57, Resulting Numbers: [44, 57]
Generated Node #3: [44, 57] from Operation: 69-12=57
Current State: 13:[44, 57], Operations: ['88-44=44', '69-12=57']
Exploring Operation: 57-44=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
20,
5,
86,
40
] | 38 | [
"20*86=1720",
"1720/40=43",
"43-5=38"
] | Current State: 38:[20, 5, 86, 40], Operations: []
Exploring Operation: 20*86=1720, Resulting Numbers: [5, 40, 1720]
Generated Node #2: [5, 40, 1720] from Operation: 20*86=1720
Current State: 38:[5, 40, 1720], Operations: ['20*86=1720']
Exploring Operation: 1720/40=43, Resulting Numbers: [5, 43]
Generated Node #3: [5, 43] from Operation: 1720/40=43
Current State: 38:[5, 43], Operations: ['20*86=1720', '1720/40=43']
Exploring Operation: 43-5=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
31,
88,
99,
9
] | 95 | [
"31-9=22",
"88/22=4",
"99-4=95"
] | Current State: 95:[31, 88, 99, 9], Operations: []
Exploring Operation: 31-9=22, Resulting Numbers: [88, 99, 22]
Generated Node #2: [88, 99, 22] from Operation: 31-9=22
Current State: 95:[88, 99, 22], Operations: ['31-9=22']
Exploring Operation: 88/22=4, Resulting Numbers: [99, 4]
Generated Node #3: [99, 4] from Operation: 88/22=4
Current State: 95:[99, 4], Operations: ['31-9=22', '88/22=4']
Exploring Operation: 99-4=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
62,
3,
29,
96
] | 43 | [
"62-29=33",
"96+33=129",
"129/3=43"
] | Current State: 43:[62, 3, 29, 96], Operations: []
Exploring Operation: 62-29=33, Resulting Numbers: [3, 96, 33]
Generated Node #2: [3, 96, 33] from Operation: 62-29=33
Current State: 43:[3, 96, 33], Operations: ['62-29=33']
Exploring Operation: 96+33=129, Resulting Numbers: [3, 129]
Generated Node #3: [3, 129] from Operation: 96+33=129
Current State: 43:[3, 129], Operations: ['62-29=33', '96+33=129']
Exploring Operation: 129/3=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
10,
47,
58,
7
] | 88 | [
"47-10=37",
"58-7=51",
"37+51=88"
] | Current State: 88:[10, 47, 58, 7], Operations: []
Exploring Operation: 47-10=37, Resulting Numbers: [58, 7, 37]
Generated Node #2: [58, 7, 37] from Operation: 47-10=37
Current State: 88:[58, 7, 37], Operations: ['47-10=37']
Exploring Operation: 58-7=51, Resulting Numbers: [37, 51]
Generated Node #3: [37, 51] from Operation: 58-7=51
Current State: 88:[37, 51], Operations: ['47-10=37', '58-7=51']
Exploring Operation: 37+51=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
88,
43,
47,
51
] | 58 | [
"51-43=8",
"88/8=11",
"47+11=58"
] | Current State: 58:[88, 43, 47, 51], Operations: []
Exploring Operation: 51-43=8, Resulting Numbers: [88, 47, 8]
Generated Node #2: [88, 47, 8] from Operation: 51-43=8
Current State: 58:[88, 47, 8], Operations: ['51-43=8']
Exploring Operation: 88/8=11, Resulting Numbers: [47, 11]
Generated Node #3: [47, 11] from Operation: 88/8=11
Current State: 58:[47, 11], Operations: ['51-43=8', '88/8=11']
Exploring Operation: 47+11=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
7,
94,
5,
97
] | 14 | [
"94+5=99",
"99-97=2",
"7*2=14"
] | Current State: 14:[7, 94, 5, 97], Operations: []
Exploring Operation: 94+5=99, Resulting Numbers: [7, 97, 99]
Generated Node #2: [7, 97, 99] from Operation: 94+5=99
Current State: 14:[7, 97, 99], Operations: ['94+5=99']
Exploring Operation: 99-97=2, Resulting Numbers: [7, 2]
Generated Node #3: [7, 2] from Operation: 99-97=2
Current State: 14:[7, 2], Operations: ['94+5=99', '99-97=2']
Exploring Operation: 7*2=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
54,
77,
46,
86
] | 64 | [
"77*46=3542",
"3542-86=3456",
"3456/54=64"
] | Current State: 64:[54, 77, 46, 86], Operations: []
Exploring Operation: 77*46=3542, Resulting Numbers: [54, 86, 3542]
Generated Node #2: [54, 86, 3542] from Operation: 77*46=3542
Current State: 64:[54, 86, 3542], Operations: ['77*46=3542']
Exploring Operation: 3542-86=3456, Resulting Numbers: [54, 3456]
Generated Node #3: [54, 3456] from Operation: 3542-86=3456
Current State: 64:[54, 3456], Operations: ['77*46=3542', '3542-86=3456']
Exploring Operation: 3456/54=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
2,
79,
48,
42
] | 71 | [
"79-2=77",
"48-42=6",
"77-6=71"
] | Current State: 71:[2, 79, 48, 42], Operations: []
Exploring Operation: 79-2=77, Resulting Numbers: [48, 42, 77]
Generated Node #2: [48, 42, 77] from Operation: 79-2=77
Current State: 71:[48, 42, 77], Operations: ['79-2=77']
Exploring Operation: 48-42=6, Resulting Numbers: [77, 6]
Generated Node #3: [77, 6] from Operation: 48-42=6
Current State: 71:[77, 6], Operations: ['79-2=77', '48-42=6']
Exploring Operation: 77-6=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
14,
83,
77,
20
] | 27 | [
"77*20=1540",
"1540/14=110",
"110-83=27"
] | Current State: 27:[14, 83, 77, 20], Operations: []
Exploring Operation: 77*20=1540, Resulting Numbers: [14, 83, 1540]
Generated Node #2: [14, 83, 1540] from Operation: 77*20=1540
Current State: 27:[14, 83, 1540], Operations: ['77*20=1540']
Exploring Operation: 1540/14=110, Resulting Numbers: [83, 110]
Generated Node #3: [83, 110] from Operation: 1540/14=110
Current State: 27:[83, 110], Operations: ['77*20=1540', '1540/14=110']
Exploring Operation: 110-83=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
53,
30,
28,
64
] | 69 | [
"53-30=23",
"28+64=92",
"92-23=69"
] | Current State: 69:[53, 30, 28, 64], Operations: []
Exploring Operation: 53-30=23, Resulting Numbers: [28, 64, 23]
Generated Node #2: [28, 64, 23] from Operation: 53-30=23
Current State: 69:[28, 64, 23], Operations: ['53-30=23']
Exploring Operation: 28+64=92, Resulting Numbers: [23, 92]
Generated Node #3: [23, 92] from Operation: 28+64=92
Current State: 69:[23, 92], Operations: ['53-30=23', '28+64=92']
Exploring Operation: 92-23=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
29,
46,
39,
67
] | 89 | [
"46-29=17",
"39+67=106",
"106-17=89"
] | Current State: 89:[29, 46, 39, 67], Operations: []
Exploring Operation: 46-29=17, Resulting Numbers: [39, 67, 17]
Generated Node #2: [39, 67, 17] from Operation: 46-29=17
Current State: 89:[39, 67, 17], Operations: ['46-29=17']
Exploring Operation: 39+67=106, Resulting Numbers: [17, 106]
Generated Node #3: [17, 106] from Operation: 39+67=106
Current State: 89:[17, 106], Operations: ['46-29=17', '39+67=106']
Exploring Operation: 106-17=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
5,
52,
9,
96
] | 37 | [
"9-5=4",
"52+96=148",
"148/4=37"
] | Current State: 37:[5, 52, 9, 96], Operations: []
Exploring Operation: 9-5=4, Resulting Numbers: [52, 96, 4]
Generated Node #2: [52, 96, 4] from Operation: 9-5=4
Current State: 37:[52, 96, 4], Operations: ['9-5=4']
Exploring Operation: 52+96=148, Resulting Numbers: [4, 148]
Generated Node #3: [4, 148] from Operation: 52+96=148
Current State: 37:[4, 148], Operations: ['9-5=4', '52+96=148']
Exploring Operation: 148/4=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
5,
91,
54,
20
] | 22 | [
"5+91=96",
"54+20=74",
"96-74=22"
] | Current State: 22:[5, 91, 54, 20], Operations: []
Exploring Operation: 5+91=96, Resulting Numbers: [54, 20, 96]
Generated Node #2: [54, 20, 96] from Operation: 5+91=96
Current State: 22:[54, 20, 96], Operations: ['5+91=96']
Exploring Operation: 54+20=74, Resulting Numbers: [96, 74]
Generated Node #3: [96, 74] from Operation: 54+20=74
Current State: 22:[96, 74], Operations: ['5+91=96', '54+20=74']
Exploring Operation: 96-74=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
93,
50,
88,
4
] | 40 | [
"93-88=5",
"50*4=200",
"200/5=40"
] | Current State: 40:[93, 50, 88, 4], Operations: []
Exploring Operation: 93-88=5, Resulting Numbers: [50, 4, 5]
Generated Node #2: [50, 4, 5] from Operation: 93-88=5
Current State: 40:[50, 4, 5], Operations: ['93-88=5']
Exploring Operation: 50*4=200, Resulting Numbers: [5, 200]
Generated Node #3: [5, 200] from Operation: 50*4=200
Current State: 40:[5, 200], Operations: ['93-88=5', '50*4=200']
Exploring Operation: 200/5=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
36,
34,
6,
9
] | 19 | [
"36/6=6",
"34-9=25",
"25-6=19"
] | Current State: 19:[36, 34, 6, 9], Operations: []
Exploring Operation: 36/6=6, Resulting Numbers: [34, 9, 6]
Generated Node #2: [34, 9, 6] from Operation: 36/6=6
Current State: 19:[34, 9, 6], Operations: ['36/6=6']
Exploring Operation: 34-9=25, Resulting Numbers: [6, 25]
Generated Node #3: [6, 25] from Operation: 34-9=25
Current State: 19:[6, 25], Operations: ['36/6=6', '34-9=25']
Exploring Operation: 25-6=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
11,
2,
39,
42
] | 43 | [
"2+42=44",
"44/11=4",
"39+4=43"
] | Current State: 43:[11, 2, 39, 42], Operations: []
Exploring Operation: 2+42=44, Resulting Numbers: [11, 39, 44]
Generated Node #2: [11, 39, 44] from Operation: 2+42=44
Current State: 43:[11, 39, 44], Operations: ['2+42=44']
Exploring Operation: 44/11=4, Resulting Numbers: [39, 4]
Generated Node #3: [39, 4] from Operation: 44/11=4
Current State: 43:[39, 4], Operations: ['2+42=44', '44/11=4']
Exploring Operation: 39+4=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
6,
37,
86,
40
] | 89 | [
"6+37=43",
"86-40=46",
"43+46=89"
] | Current State: 89:[6, 37, 86, 40], Operations: []
Exploring Operation: 6+37=43, Resulting Numbers: [86, 40, 43]
Generated Node #2: [86, 40, 43] from Operation: 6+37=43
Current State: 89:[86, 40, 43], Operations: ['6+37=43']
Exploring Operation: 86-40=46, Resulting Numbers: [43, 46]
Generated Node #3: [43, 46] from Operation: 86-40=46
Current State: 89:[43, 46], Operations: ['6+37=43', '86-40=46']
Exploring Operation: 43+46=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
91,
66,
77,
26
] | 26 | [
"91-66=25",
"77-26=51",
"51-25=26"
] | Current State: 26:[91, 66, 77, 26], Operations: []
Exploring Operation: 91-66=25, Resulting Numbers: [77, 26, 25]
Generated Node #2: [77, 26, 25] from Operation: 91-66=25
Current State: 26:[77, 26, 25], Operations: ['91-66=25']
Exploring Operation: 77-26=51, Resulting Numbers: [25, 51]
Generated Node #3: [25, 51] from Operation: 77-26=51
Current State: 26:[25, 51], Operations: ['91-66=25', '77-26=51']
Exploring Operation: 51-25=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
96,
19,
66,
75
] | 86 | [
"96-19=77",
"75-66=9",
"77+9=86"
] | Current State: 86:[96, 19, 66, 75], Operations: []
Exploring Operation: 96-19=77, Resulting Numbers: [66, 75, 77]
Generated Node #2: [66, 75, 77] from Operation: 96-19=77
Current State: 86:[66, 75, 77], Operations: ['96-19=77']
Exploring Operation: 75-66=9, Resulting Numbers: [77, 9]
Generated Node #3: [77, 9] from Operation: 75-66=9
Current State: 86:[77, 9], Operations: ['96-19=77', '75-66=9']
Exploring Operation: 77+9=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
61,
21,
9,
20
] | 69 | [
"61-21=40",
"9+20=29",
"40+29=69"
] | Current State: 69:[61, 21, 9, 20], Operations: []
Exploring Operation: 61-21=40, Resulting Numbers: [9, 20, 40]
Generated Node #2: [9, 20, 40] from Operation: 61-21=40
Current State: 69:[9, 20, 40], Operations: ['61-21=40']
Exploring Operation: 9+20=29, Resulting Numbers: [40, 29]
Generated Node #3: [40, 29] from Operation: 9+20=29
Current State: 69:[40, 29], Operations: ['61-21=40', '9+20=29']
Exploring Operation: 40+29=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
15,
68,
54,
77
] | 21 | [
"77-68=9",
"54/9=6",
"15+6=21"
] | Current State: 21:[15, 68, 54, 77], Operations: []
Exploring Operation: 77-68=9, Resulting Numbers: [15, 54, 9]
Generated Node #2: [15, 54, 9] from Operation: 77-68=9
Current State: 21:[15, 54, 9], Operations: ['77-68=9']
Exploring Operation: 54/9=6, Resulting Numbers: [15, 6]
Generated Node #3: [15, 6] from Operation: 54/9=6
Current State: 21:[15, 6], Operations: ['77-68=9', '54/9=6']
Exploring Operation: 15+6=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
11,
17,
47,
35
] | 76 | [
"17-11=6",
"47+35=82",
"82-6=76"
] | Current State: 76:[11, 17, 47, 35], Operations: []
Exploring Operation: 17-11=6, Resulting Numbers: [47, 35, 6]
Generated Node #2: [47, 35, 6] from Operation: 17-11=6
Current State: 76:[47, 35, 6], Operations: ['17-11=6']
Exploring Operation: 47+35=82, Resulting Numbers: [6, 82]
Generated Node #3: [6, 82] from Operation: 47+35=82
Current State: 76:[6, 82], Operations: ['17-11=6', '47+35=82']
Exploring Operation: 82-6=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
7,
3,
7,
16
] | 51 | [
"7/7=1",
"16+1=17",
"3*17=51"
] | Current State: 51:[7, 3, 7, 16], Operations: []
Exploring Operation: 7/7=1, Resulting Numbers: [3, 16, 1]
Generated Node #2: [3, 16, 1] from Operation: 7/7=1
Current State: 51:[3, 16, 1], Operations: ['7/7=1']
Exploring Operation: 16+1=17, Resulting Numbers: [3, 17]
Generated Node #3: [3, 17] from Operation: 16+1=17
Current State: 51:[3, 17], Operations: ['7/7=1', '16+1=17']
Exploring Operation: 3*17=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
23,
71,
78,
8
] | 84 | [
"71-23=48",
"48/8=6",
"78+6=84"
] | Current State: 84:[23, 71, 78, 8], Operations: []
Exploring Operation: 71-23=48, Resulting Numbers: [78, 8, 48]
Generated Node #2: [78, 8, 48] from Operation: 71-23=48
Current State: 84:[78, 8, 48], Operations: ['71-23=48']
Exploring Operation: 48/8=6, Resulting Numbers: [78, 6]
Generated Node #3: [78, 6] from Operation: 48/8=6
Current State: 84:[78, 6], Operations: ['71-23=48', '48/8=6']
Exploring Operation: 78+6=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
24,
50,
91,
55
] | 72 | [
"24+50=74",
"91+55=146",
"146-74=72"
] | Current State: 72:[24, 50, 91, 55], Operations: []
Exploring Operation: 24+50=74, Resulting Numbers: [91, 55, 74]
Generated Node #2: [91, 55, 74] from Operation: 24+50=74
Current State: 72:[91, 55, 74], Operations: ['24+50=74']
Exploring Operation: 91+55=146, Resulting Numbers: [74, 146]
Generated Node #3: [74, 146] from Operation: 91+55=146
Current State: 72:[74, 146], Operations: ['24+50=74', '91+55=146']
Exploring Operation: 146-74=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
40,
11,
70,
88
] | 33 | [
"40+11=51",
"88-70=18",
"51-18=33"
] | Current State: 33:[40, 11, 70, 88], Operations: []
Exploring Operation: 40+11=51, Resulting Numbers: [70, 88, 51]
Generated Node #2: [70, 88, 51] from Operation: 40+11=51
Current State: 33:[70, 88, 51], Operations: ['40+11=51']
Exploring Operation: 88-70=18, Resulting Numbers: [51, 18]
Generated Node #3: [51, 18] from Operation: 88-70=18
Current State: 33:[51, 18], Operations: ['40+11=51', '88-70=18']
Exploring Operation: 51-18=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
95,
68,
67,
82
] | 14 | [
"95+68=163",
"67+82=149",
"163-149=14"
] | Current State: 14:[95, 68, 67, 82], Operations: []
Exploring Operation: 95+68=163, Resulting Numbers: [67, 82, 163]
Generated Node #2: [67, 82, 163] from Operation: 95+68=163
Current State: 14:[67, 82, 163], Operations: ['95+68=163']
Exploring Operation: 67+82=149, Resulting Numbers: [163, 149]
Generated Node #3: [163, 149] from Operation: 67+82=149
Current State: 14:[163, 149], Operations: ['95+68=163', '67+82=149']
Exploring Operation: 163-149=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
99,
66,
77,
62
] | 88 | [
"99-77=22",
"66-62=4",
"22*4=88"
] | Current State: 88:[99, 66, 77, 62], Operations: []
Exploring Operation: 99-77=22, Resulting Numbers: [66, 62, 22]
Generated Node #2: [66, 62, 22] from Operation: 99-77=22
Current State: 88:[66, 62, 22], Operations: ['99-77=22']
Exploring Operation: 66-62=4, Resulting Numbers: [22, 4]
Generated Node #3: [22, 4] from Operation: 66-62=4
Current State: 88:[22, 4], Operations: ['99-77=22', '66-62=4']
Exploring Operation: 22*4=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
11,
17,
90,
27
] | 35 | [
"11+17=28",
"90-27=63",
"63-28=35"
] | Current State: 35:[11, 17, 90, 27], Operations: []
Exploring Operation: 11+17=28, Resulting Numbers: [90, 27, 28]
Generated Node #2: [90, 27, 28] from Operation: 11+17=28
Current State: 35:[90, 27, 28], Operations: ['11+17=28']
Exploring Operation: 90-27=63, Resulting Numbers: [28, 63]
Generated Node #3: [28, 63] from Operation: 90-27=63
Current State: 35:[28, 63], Operations: ['11+17=28', '90-27=63']
Exploring Operation: 63-28=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
9,
44,
41,
2
] | 47 | [
"9+44=53",
"41+53=94",
"94/2=47"
] | Current State: 47:[9, 44, 41, 2], Operations: []
Exploring Operation: 9+44=53, Resulting Numbers: [41, 2, 53]
Generated Node #2: [41, 2, 53] from Operation: 9+44=53
Current State: 47:[41, 2, 53], Operations: ['9+44=53']
Exploring Operation: 41+53=94, Resulting Numbers: [2, 94]
Generated Node #3: [2, 94] from Operation: 41+53=94
Current State: 47:[2, 94], Operations: ['9+44=53', '41+53=94']
Exploring Operation: 94/2=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
91,
16,
24,
14
] | 65 | [
"91-16=75",
"24-14=10",
"75-10=65"
] | Current State: 65:[91, 16, 24, 14], Operations: []
Exploring Operation: 91-16=75, Resulting Numbers: [24, 14, 75]
Generated Node #2: [24, 14, 75] from Operation: 91-16=75
Current State: 65:[24, 14, 75], Operations: ['91-16=75']
Exploring Operation: 24-14=10, Resulting Numbers: [75, 10]
Generated Node #3: [75, 10] from Operation: 24-14=10
Current State: 65:[75, 10], Operations: ['91-16=75', '24-14=10']
Exploring Operation: 75-10=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
39,
62,
31,
30
] | 40 | [
"39+62=101",
"31+30=61",
"101-61=40"
] | Current State: 40:[39, 62, 31, 30], Operations: []
Exploring Operation: 39+62=101, Resulting Numbers: [31, 30, 101]
Generated Node #2: [31, 30, 101] from Operation: 39+62=101
Current State: 40:[31, 30, 101], Operations: ['39+62=101']
Exploring Operation: 31+30=61, Resulting Numbers: [101, 61]
Generated Node #3: [101, 61] from Operation: 31+30=61
Current State: 40:[101, 61], Operations: ['39+62=101', '31+30=61']
Exploring Operation: 101-61=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
12,
97,
74,
36
] | 47 | [
"97-12=85",
"74-36=38",
"85-38=47"
] | Current State: 47:[12, 97, 74, 36], Operations: []
Exploring Operation: 97-12=85, Resulting Numbers: [74, 36, 85]
Generated Node #2: [74, 36, 85] from Operation: 97-12=85
Current State: 47:[74, 36, 85], Operations: ['97-12=85']
Exploring Operation: 74-36=38, Resulting Numbers: [85, 38]
Generated Node #3: [85, 38] from Operation: 74-36=38
Current State: 47:[85, 38], Operations: ['97-12=85', '74-36=38']
Exploring Operation: 85-38=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
94,
2,
82,
77
] | 52 | [
"94/2=47",
"82-77=5",
"47+5=52"
] | Current State: 52:[94, 2, 82, 77], Operations: []
Exploring Operation: 94/2=47, Resulting Numbers: [82, 77, 47]
Generated Node #2: [82, 77, 47] from Operation: 94/2=47
Current State: 52:[82, 77, 47], Operations: ['94/2=47']
Exploring Operation: 82-77=5, Resulting Numbers: [47, 5]
Generated Node #3: [47, 5] from Operation: 82-77=5
Current State: 52:[47, 5], Operations: ['94/2=47', '82-77=5']
Exploring Operation: 47+5=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
23,
58,
51,
21
] | 51 | [
"23+58=81",
"51-21=30",
"81-30=51"
] | Current State: 51:[23, 58, 51, 21], Operations: []
Exploring Operation: 23+58=81, Resulting Numbers: [51, 21, 81]
Generated Node #2: [51, 21, 81] from Operation: 23+58=81
Current State: 51:[51, 21, 81], Operations: ['23+58=81']
Exploring Operation: 51-21=30, Resulting Numbers: [81, 30]
Generated Node #3: [81, 30] from Operation: 51-21=30
Current State: 51:[81, 30], Operations: ['23+58=81', '51-21=30']
Exploring Operation: 81-30=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
36,
64,
32,
86
] | 88 | [
"36-32=4",
"86-64=22",
"4*22=88"
] | Current State: 88:[36, 64, 32, 86], Operations: []
Exploring Operation: 36-32=4, Resulting Numbers: [64, 86, 4]
Generated Node #2: [64, 86, 4] from Operation: 36-32=4
Current State: 88:[64, 86, 4], Operations: ['36-32=4']
Exploring Operation: 86-64=22, Resulting Numbers: [4, 22]
Generated Node #3: [4, 22] from Operation: 86-64=22
Current State: 88:[4, 22], Operations: ['36-32=4', '86-64=22']
Exploring Operation: 4*22=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
79,
71,
2,
56
] | 46 | [
"79-71=8",
"56-2=54",
"54-8=46"
] | Current State: 46:[79, 71, 2, 56], Operations: []
Exploring Operation: 79-71=8, Resulting Numbers: [2, 56, 8]
Generated Node #2: [2, 56, 8] from Operation: 79-71=8
Current State: 46:[2, 56, 8], Operations: ['79-71=8']
Exploring Operation: 56-2=54, Resulting Numbers: [8, 54]
Generated Node #3: [8, 54] from Operation: 56-2=54
Current State: 46:[8, 54], Operations: ['79-71=8', '56-2=54']
Exploring Operation: 54-8=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
90,
85,
88,
39
] | 92 | [
"90-88=2",
"85-39=46",
"2*46=92"
] | Current State: 92:[90, 85, 88, 39], Operations: []
Exploring Operation: 90-88=2, Resulting Numbers: [85, 39, 2]
Generated Node #2: [85, 39, 2] from Operation: 90-88=2
Current State: 92:[85, 39, 2], Operations: ['90-88=2']
Exploring Operation: 85-39=46, Resulting Numbers: [2, 46]
Generated Node #3: [2, 46] from Operation: 85-39=46
Current State: 92:[2, 46], Operations: ['90-88=2', '85-39=46']
Exploring Operation: 2*46=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
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