nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
5,
12,
84,
8
] | 32 | [
"5*12=60",
"84+8=92",
"92-60=32"
] | Current State: 32:[5, 12, 84, 8], Operations: []
Exploring Operation: 5*12=60, Resulting Numbers: [84, 8, 60]
Generated Node #2: [84, 8, 60] from Operation: 5*12=60
Current State: 32:[84, 8, 60], Operations: ['5*12=60']
Exploring Operation: 84+8=92, Resulting Numbers: [60, 92]
Generated Node #3: [60, 92] from Operation: 84+8=92
Current State: 32:[60, 92], Operations: ['5*12=60', '84+8=92']
Exploring Operation: 92-60=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
7,
28,
31,
4
] | 62 | [
"7+28=35",
"31-4=27",
"35+27=62"
] | Current State: 62:[7, 28, 31, 4], Operations: []
Exploring Operation: 7+28=35, Resulting Numbers: [31, 4, 35]
Generated Node #2: [31, 4, 35] from Operation: 7+28=35
Current State: 62:[31, 4, 35], Operations: ['7+28=35']
Exploring Operation: 31-4=27, Resulting Numbers: [35, 27]
Generated Node #3: [35, 27] from Operation: 31-4=27
Current State: 62:[35, 27], Operations: ['7+28=35', '31-4=27']
Exploring Operation: 35+27=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
8,
40,
72,
15
] | 46 | [
"72/8=9",
"40+15=55",
"55-9=46"
] | Current State: 46:[8, 40, 72, 15], Operations: []
Exploring Operation: 72/8=9, Resulting Numbers: [40, 15, 9]
Generated Node #2: [40, 15, 9] from Operation: 72/8=9
Current State: 46:[40, 15, 9], Operations: ['72/8=9']
Exploring Operation: 40+15=55, Resulting Numbers: [9, 55]
Generated Node #3: [9, 55] from Operation: 40+15=55
Current State: 46:[9, 55], Operations: ['72/8=9', '40+15=55']
Exploring Operation: 55-9=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
88,
54,
9,
3
] | 97 | [
"88-9=79",
"54/3=18",
"79+18=97"
] | Current State: 97:[88, 54, 9, 3], Operations: []
Exploring Operation: 88-9=79, Resulting Numbers: [54, 3, 79]
Generated Node #2: [54, 3, 79] from Operation: 88-9=79
Current State: 97:[54, 3, 79], Operations: ['88-9=79']
Exploring Operation: 54/3=18, Resulting Numbers: [79, 18]
Generated Node #3: [79, 18] from Operation: 54/3=18
Current State: 97:[79, 18], Operations: ['88-9=79', '54/3=18']
Exploring Operation: 79+18=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
31,
39,
1,
20
] | 49 | [
"31+39=70",
"1+20=21",
"70-21=49"
] | Current State: 49:[31, 39, 1, 20], Operations: []
Exploring Operation: 31+39=70, Resulting Numbers: [1, 20, 70]
Generated Node #2: [1, 20, 70] from Operation: 31+39=70
Current State: 49:[1, 20, 70], Operations: ['31+39=70']
Exploring Operation: 1+20=21, Resulting Numbers: [70, 21]
Generated Node #3: [70, 21] from Operation: 1+20=21
Current State: 49:[70, 21], Operations: ['31+39=70', '1+20=21']
Exploring Operation: 70-21=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
25,
99,
26,
98
] | 51 | [
"25+26=51",
"99-98=1",
"51*1=51"
] | Current State: 51:[25, 99, 26, 98], Operations: []
Exploring Operation: 25+26=51, Resulting Numbers: [99, 98, 51]
Generated Node #2: [99, 98, 51] from Operation: 25+26=51
Current State: 51:[99, 98, 51], Operations: ['25+26=51']
Exploring Operation: 99-98=1, Resulting Numbers: [51, 1]
Generated Node #3: [51, 1] from Operation: 99-98=1
Current State: 51:[51, 1], Operations: ['25+26=51', '99-98=1']
Exploring Operation: 51*1=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
41,
1,
18,
10
] | 22 | [
"41-1=40",
"40/10=4",
"18+4=22"
] | Current State: 22:[41, 1, 18, 10], Operations: []
Exploring Operation: 41-1=40, Resulting Numbers: [18, 10, 40]
Generated Node #2: [18, 10, 40] from Operation: 41-1=40
Current State: 22:[18, 10, 40], Operations: ['41-1=40']
Exploring Operation: 40/10=4, Resulting Numbers: [18, 4]
Generated Node #3: [18, 4] from Operation: 40/10=4
Current State: 22:[18, 4], Operations: ['41-1=40', '40/10=4']
Exploring Operation: 18+4=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
67,
12,
25,
37
] | 91 | [
"67+12=79",
"37-25=12",
"79+12=91"
] | Current State: 91:[67, 12, 25, 37], Operations: []
Exploring Operation: 67+12=79, Resulting Numbers: [25, 37, 79]
Generated Node #2: [25, 37, 79] from Operation: 67+12=79
Current State: 91:[25, 37, 79], Operations: ['67+12=79']
Exploring Operation: 37-25=12, Resulting Numbers: [79, 12]
Generated Node #3: [79, 12] from Operation: 37-25=12
Current State: 91:[79, 12], Operations: ['67+12=79', '37-25=12']
Exploring Operation: 79+12=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
35,
30,
70,
19
] | 56 | [
"35-30=5",
"70-19=51",
"5+51=56"
] | Current State: 56:[35, 30, 70, 19], Operations: []
Exploring Operation: 35-30=5, Resulting Numbers: [70, 19, 5]
Generated Node #2: [70, 19, 5] from Operation: 35-30=5
Current State: 56:[70, 19, 5], Operations: ['35-30=5']
Exploring Operation: 70-19=51, Resulting Numbers: [5, 51]
Generated Node #3: [5, 51] from Operation: 70-19=51
Current State: 56:[5, 51], Operations: ['35-30=5', '70-19=51']
Exploring Operation: 5+51=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
53,
2,
69,
3
] | 99 | [
"2*69=138",
"138/3=46",
"53+46=99"
] | Current State: 99:[53, 2, 69, 3], Operations: []
Exploring Operation: 2*69=138, Resulting Numbers: [53, 3, 138]
Generated Node #2: [53, 3, 138] from Operation: 2*69=138
Current State: 99:[53, 3, 138], Operations: ['2*69=138']
Exploring Operation: 138/3=46, Resulting Numbers: [53, 46]
Generated Node #3: [53, 46] from Operation: 138/3=46
Current State: 99:[53, 46], Operations: ['2*69=138', '138/3=46']
Exploring Operation: 53+46=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
26,
4,
5,
30
] | 69 | [
"26*4=104",
"5+30=35",
"104-35=69"
] | Current State: 69:[26, 4, 5, 30], Operations: []
Exploring Operation: 26*4=104, Resulting Numbers: [5, 30, 104]
Generated Node #2: [5, 30, 104] from Operation: 26*4=104
Current State: 69:[5, 30, 104], Operations: ['26*4=104']
Exploring Operation: 5+30=35, Resulting Numbers: [104, 35]
Generated Node #3: [104, 35] from Operation: 5+30=35
Current State: 69:[104, 35], Operations: ['26*4=104', '5+30=35']
Exploring Operation: 104-35=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
31,
61,
33,
1
] | 30 | [
"33-31=2",
"61-1=60",
"60/2=30"
] | Current State: 30:[31, 61, 33, 1], Operations: []
Exploring Operation: 33-31=2, Resulting Numbers: [61, 1, 2]
Generated Node #2: [61, 1, 2] from Operation: 33-31=2
Current State: 30:[61, 1, 2], Operations: ['33-31=2']
Exploring Operation: 61-1=60, Resulting Numbers: [2, 60]
Generated Node #3: [2, 60] from Operation: 61-1=60
Current State: 30:[2, 60], Operations: ['33-31=2', '61-1=60']
Exploring Operation: 60/2=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
17,
44,
1,
5
] | 57 | [
"17+44=61",
"5-1=4",
"61-4=57"
] | Current State: 57:[17, 44, 1, 5], Operations: []
Exploring Operation: 17+44=61, Resulting Numbers: [1, 5, 61]
Generated Node #2: [1, 5, 61] from Operation: 17+44=61
Current State: 57:[1, 5, 61], Operations: ['17+44=61']
Exploring Operation: 5-1=4, Resulting Numbers: [61, 4]
Generated Node #3: [61, 4] from Operation: 5-1=4
Current State: 57:[61, 4], Operations: ['17+44=61', '5-1=4']
Exploring Operation: 61-4=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
3,
75,
3,
36
] | 34 | [
"75+36=111",
"111/3=37",
"37-3=34"
] | Current State: 34:[3, 75, 3, 36], Operations: []
Exploring Operation: 75+36=111, Resulting Numbers: [3, 3, 111]
Generated Node #2: [3, 3, 111] from Operation: 75+36=111
Current State: 34:[3, 3, 111], Operations: ['75+36=111']
Exploring Operation: 111/3=37, Resulting Numbers: [37]
37,34 equal: Goal Reached
Exploring Operation: 37-3=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
62,
77,
83,
11
] | 28 | [
"83-62=21",
"77/11=7",
"21+7=28"
] | Current State: 28:[62, 77, 83, 11], Operations: []
Exploring Operation: 83-62=21, Resulting Numbers: [77, 11, 21]
Generated Node #2: [77, 11, 21] from Operation: 83-62=21
Current State: 28:[77, 11, 21], Operations: ['83-62=21']
Exploring Operation: 77/11=7, Resulting Numbers: [21, 7]
Generated Node #3: [21, 7] from Operation: 77/11=7
Current State: 28:[21, 7], Operations: ['83-62=21', '77/11=7']
Exploring Operation: 21+7=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
67,
39,
76,
37
] | 11 | [
"67-39=28",
"76-37=39",
"39-28=11"
] | Current State: 11:[67, 39, 76, 37], Operations: []
Exploring Operation: 67-39=28, Resulting Numbers: [76, 37, 28]
Generated Node #2: [76, 37, 28] from Operation: 67-39=28
Current State: 11:[76, 37, 28], Operations: ['67-39=28']
Exploring Operation: 76-37=39, Resulting Numbers: [28, 39]
Generated Node #3: [28, 39] from Operation: 76-37=39
Current State: 11:[28, 39], Operations: ['67-39=28', '76-37=39']
Exploring Operation: 39-28=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
48,
8,
56,
1
] | 62 | [
"48/8=6",
"56*1=56",
"6+56=62"
] | Current State: 62:[48, 8, 56, 1], Operations: []
Exploring Operation: 48/8=6, Resulting Numbers: [56, 1, 6]
Generated Node #2: [56, 1, 6] from Operation: 48/8=6
Current State: 62:[56, 1, 6], Operations: ['48/8=6']
Exploring Operation: 56*1=56, Resulting Numbers: [6, 56]
Generated Node #3: [6, 56] from Operation: 56*1=56
Current State: 62:[6, 56], Operations: ['48/8=6', '56*1=56']
Exploring Operation: 6+56=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
49,
25,
44,
67
] | 87 | [
"49-25=24",
"44+67=111",
"111-24=87"
] | Current State: 87:[49, 25, 44, 67], Operations: []
Exploring Operation: 49-25=24, Resulting Numbers: [44, 67, 24]
Generated Node #2: [44, 67, 24] from Operation: 49-25=24
Current State: 87:[44, 67, 24], Operations: ['49-25=24']
Exploring Operation: 44+67=111, Resulting Numbers: [24, 111]
Generated Node #3: [24, 111] from Operation: 44+67=111
Current State: 87:[24, 111], Operations: ['49-25=24', '44+67=111']
Exploring Operation: 111-24=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
2,
3,
93,
91
] | 86 | [
"2*91=182",
"3+93=96",
"182-96=86"
] | Current State: 86:[2, 3, 93, 91], Operations: []
Exploring Operation: 2*91=182, Resulting Numbers: [3, 93, 182]
Generated Node #2: [3, 93, 182] from Operation: 2*91=182
Current State: 86:[3, 93, 182], Operations: ['2*91=182']
Exploring Operation: 3+93=96, Resulting Numbers: [182, 96]
Generated Node #3: [182, 96] from Operation: 3+93=96
Current State: 86:[182, 96], Operations: ['2*91=182', '3+93=96']
Exploring Operation: 182-96=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
56,
10,
15,
7
] | 54 | [
"56-10=46",
"15-7=8",
"46+8=54"
] | Current State: 54:[56, 10, 15, 7], Operations: []
Exploring Operation: 56-10=46, Resulting Numbers: [15, 7, 46]
Generated Node #2: [15, 7, 46] from Operation: 56-10=46
Current State: 54:[15, 7, 46], Operations: ['56-10=46']
Exploring Operation: 15-7=8, Resulting Numbers: [46, 8]
Generated Node #3: [46, 8] from Operation: 15-7=8
Current State: 54:[46, 8], Operations: ['56-10=46', '15-7=8']
Exploring Operation: 46+8=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
35,
64,
25,
67
] | 50 | [
"67-35=32",
"64*25=1600",
"1600/32=50"
] | Current State: 50:[35, 64, 25, 67], Operations: []
Exploring Operation: 67-35=32, Resulting Numbers: [64, 25, 32]
Generated Node #2: [64, 25, 32] from Operation: 67-35=32
Current State: 50:[64, 25, 32], Operations: ['67-35=32']
Exploring Operation: 64*25=1600, Resulting Numbers: [32, 1600]
Generated Node #3: [32, 1600] from Operation: 64*25=1600
Current State: 50:[32, 1600], Operations: ['67-35=32', '64*25=1600']
Exploring Operation: 1600/32=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
70,
27,
72,
66
] | 95 | [
"70-27=43",
"72+66=138",
"138-43=95"
] | Current State: 95:[70, 27, 72, 66], Operations: []
Exploring Operation: 70-27=43, Resulting Numbers: [72, 66, 43]
Generated Node #2: [72, 66, 43] from Operation: 70-27=43
Current State: 95:[72, 66, 43], Operations: ['70-27=43']
Exploring Operation: 72+66=138, Resulting Numbers: [43, 138]
Generated Node #3: [43, 138] from Operation: 72+66=138
Current State: 95:[43, 138], Operations: ['70-27=43', '72+66=138']
Exploring Operation: 138-43=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
8,
45,
10,
8
] | 49 | [
"10-8=2",
"8/2=4",
"45+4=49"
] | Current State: 49:[8, 45, 10, 8], Operations: []
Exploring Operation: 10-8=2, Resulting Numbers: [45, 2]
Generated Node #2: [45, 2] from Operation: 10-8=2
Current State: 49:[45, 2], Operations: ['10-8=2']
Exploring Operation: 8/2=4, Resulting Numbers: [45, 4]
Generated Node #3: [45, 4] from Operation: 8/2=4
Current State: 49:[45, 4], Operations: ['10-8=2', '8/2=4']
Exploring Operation: 45+4=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
14,
21,
20,
78
] | 28 | [
"20+78=98",
"98/14=7",
"21+7=28"
] | Current State: 28:[14, 21, 20, 78], Operations: []
Exploring Operation: 20+78=98, Resulting Numbers: [14, 21, 98]
Generated Node #2: [14, 21, 98] from Operation: 20+78=98
Current State: 28:[14, 21, 98], Operations: ['20+78=98']
Exploring Operation: 98/14=7, Resulting Numbers: [21, 7]
Generated Node #3: [21, 7] from Operation: 98/14=7
Current State: 28:[21, 7], Operations: ['20+78=98', '98/14=7']
Exploring Operation: 21+7=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
12,
45,
86,
28
] | 81 | [
"45-12=33",
"86+28=114",
"114-33=81"
] | Current State: 81:[12, 45, 86, 28], Operations: []
Exploring Operation: 45-12=33, Resulting Numbers: [86, 28, 33]
Generated Node #2: [86, 28, 33] from Operation: 45-12=33
Current State: 81:[86, 28, 33], Operations: ['45-12=33']
Exploring Operation: 86+28=114, Resulting Numbers: [33, 114]
Generated Node #3: [33, 114] from Operation: 86+28=114
Current State: 81:[33, 114], Operations: ['45-12=33', '86+28=114']
Exploring Operation: 114-33=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
90,
27,
78,
33
] | 29 | [
"78-33=45",
"90/45=2",
"27+2=29"
] | Current State: 29:[90, 27, 78, 33], Operations: []
Exploring Operation: 78-33=45, Resulting Numbers: [90, 27, 45]
Generated Node #2: [90, 27, 45] from Operation: 78-33=45
Current State: 29:[90, 27, 45], Operations: ['78-33=45']
Exploring Operation: 90/45=2, Resulting Numbers: [27, 2]
Generated Node #3: [27, 2] from Operation: 90/45=2
Current State: 29:[27, 2], Operations: ['78-33=45', '90/45=2']
Exploring Operation: 27+2=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
56,
70,
45,
73
] | 98 | [
"56+70=126",
"73-45=28",
"126-28=98"
] | Current State: 98:[56, 70, 45, 73], Operations: []
Exploring Operation: 56+70=126, Resulting Numbers: [45, 73, 126]
Generated Node #2: [45, 73, 126] from Operation: 56+70=126
Current State: 98:[45, 73, 126], Operations: ['56+70=126']
Exploring Operation: 73-45=28, Resulting Numbers: [126, 28]
Generated Node #3: [126, 28] from Operation: 73-45=28
Current State: 98:[126, 28], Operations: ['56+70=126', '73-45=28']
Exploring Operation: 126-28=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
40,
9,
56,
16
] | 21 | [
"40-16=24",
"9*56=504",
"504/24=21"
] | Current State: 21:[40, 9, 56, 16], Operations: []
Exploring Operation: 40-16=24, Resulting Numbers: [9, 56, 24]
Generated Node #2: [9, 56, 24] from Operation: 40-16=24
Current State: 21:[9, 56, 24], Operations: ['40-16=24']
Exploring Operation: 9*56=504, Resulting Numbers: [24, 504]
Generated Node #3: [24, 504] from Operation: 9*56=504
Current State: 21:[24, 504], Operations: ['40-16=24', '9*56=504']
Exploring Operation: 504/24=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
18,
52,
29,
22
] | 85 | [
"52-18=34",
"29+22=51",
"34+51=85"
] | Current State: 85:[18, 52, 29, 22], Operations: []
Exploring Operation: 52-18=34, Resulting Numbers: [29, 22, 34]
Generated Node #2: [29, 22, 34] from Operation: 52-18=34
Current State: 85:[29, 22, 34], Operations: ['52-18=34']
Exploring Operation: 29+22=51, Resulting Numbers: [34, 51]
Generated Node #3: [34, 51] from Operation: 29+22=51
Current State: 85:[34, 51], Operations: ['52-18=34', '29+22=51']
Exploring Operation: 34+51=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
49,
93,
11,
12
] | 45 | [
"93-49=44",
"12-11=1",
"44+1=45"
] | Current State: 45:[49, 93, 11, 12], Operations: []
Exploring Operation: 93-49=44, Resulting Numbers: [11, 12, 44]
Generated Node #2: [11, 12, 44] from Operation: 93-49=44
Current State: 45:[11, 12, 44], Operations: ['93-49=44']
Exploring Operation: 12-11=1, Resulting Numbers: [44, 1]
Generated Node #3: [44, 1] from Operation: 12-11=1
Current State: 45:[44, 1], Operations: ['93-49=44', '12-11=1']
Exploring Operation: 44+1=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
95,
47,
65,
3
] | 51 | [
"95-47=48",
"65-48=17",
"3*17=51"
] | Current State: 51:[95, 47, 65, 3], Operations: []
Exploring Operation: 95-47=48, Resulting Numbers: [65, 3, 48]
Generated Node #2: [65, 3, 48] from Operation: 95-47=48
Current State: 51:[65, 3, 48], Operations: ['95-47=48']
Exploring Operation: 65-48=17, Resulting Numbers: [3, 17]
Generated Node #3: [3, 17] from Operation: 65-48=17
Current State: 51:[3, 17], Operations: ['95-47=48', '65-48=17']
Exploring Operation: 3*17=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
63,
55,
16,
72
] | 62 | [
"63+55=118",
"72-16=56",
"118-56=62"
] | Current State: 62:[63, 55, 16, 72], Operations: []
Exploring Operation: 63+55=118, Resulting Numbers: [16, 72, 118]
Generated Node #2: [16, 72, 118] from Operation: 63+55=118
Current State: 62:[16, 72, 118], Operations: ['63+55=118']
Exploring Operation: 72-16=56, Resulting Numbers: [118, 56]
Generated Node #3: [118, 56] from Operation: 72-16=56
Current State: 62:[118, 56], Operations: ['63+55=118', '72-16=56']
Exploring Operation: 118-56=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
51,
6,
60,
65
] | 40 | [
"51-6=45",
"65-60=5",
"45-5=40"
] | Current State: 40:[51, 6, 60, 65], Operations: []
Exploring Operation: 51-6=45, Resulting Numbers: [60, 65, 45]
Generated Node #2: [60, 65, 45] from Operation: 51-6=45
Current State: 40:[60, 65, 45], Operations: ['51-6=45']
Exploring Operation: 65-60=5, Resulting Numbers: [45, 5]
Generated Node #3: [45, 5] from Operation: 65-60=5
Current State: 40:[45, 5], Operations: ['51-6=45', '65-60=5']
Exploring Operation: 45-5=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
32,
21,
50,
42
] | 84 | [
"32*21=672",
"50-42=8",
"672/8=84"
] | Current State: 84:[32, 21, 50, 42], Operations: []
Exploring Operation: 32*21=672, Resulting Numbers: [50, 42, 672]
Generated Node #2: [50, 42, 672] from Operation: 32*21=672
Current State: 84:[50, 42, 672], Operations: ['32*21=672']
Exploring Operation: 50-42=8, Resulting Numbers: [672, 8]
Generated Node #3: [672, 8] from Operation: 50-42=8
Current State: 84:[672, 8], Operations: ['32*21=672', '50-42=8']
Exploring Operation: 672/8=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
57,
54,
10,
31
] | 24 | [
"57-54=3",
"31-10=21",
"3+21=24"
] | Current State: 24:[57, 54, 10, 31], Operations: []
Exploring Operation: 57-54=3, Resulting Numbers: [10, 31, 3]
Generated Node #2: [10, 31, 3] from Operation: 57-54=3
Current State: 24:[10, 31, 3], Operations: ['57-54=3']
Exploring Operation: 31-10=21, Resulting Numbers: [3, 21]
Generated Node #3: [3, 21] from Operation: 31-10=21
Current State: 24:[3, 21], Operations: ['57-54=3', '31-10=21']
Exploring Operation: 3+21=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
30,
24,
64,
26
] | 96 | [
"30-24=6",
"64+26=90",
"6+90=96"
] | Current State: 96:[30, 24, 64, 26], Operations: []
Exploring Operation: 30-24=6, Resulting Numbers: [64, 26, 6]
Generated Node #2: [64, 26, 6] from Operation: 30-24=6
Current State: 96:[64, 26, 6], Operations: ['30-24=6']
Exploring Operation: 64+26=90, Resulting Numbers: [6, 90]
Generated Node #3: [6, 90] from Operation: 64+26=90
Current State: 96:[6, 90], Operations: ['30-24=6', '64+26=90']
Exploring Operation: 6+90=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
45,
50,
8,
56
] | 69 | [
"50-45=5",
"8+56=64",
"5+64=69"
] | Current State: 69:[45, 50, 8, 56], Operations: []
Exploring Operation: 50-45=5, Resulting Numbers: [8, 56, 5]
Generated Node #2: [8, 56, 5] from Operation: 50-45=5
Current State: 69:[8, 56, 5], Operations: ['50-45=5']
Exploring Operation: 8+56=64, Resulting Numbers: [5, 64]
Generated Node #3: [5, 64] from Operation: 8+56=64
Current State: 69:[5, 64], Operations: ['50-45=5', '8+56=64']
Exploring Operation: 5+64=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
81,
71,
2,
37
] | 13 | [
"71-37=34",
"2*34=68",
"81-68=13"
] | Current State: 13:[81, 71, 2, 37], Operations: []
Exploring Operation: 71-37=34, Resulting Numbers: [81, 2, 34]
Generated Node #2: [81, 2, 34] from Operation: 71-37=34
Current State: 13:[81, 2, 34], Operations: ['71-37=34']
Exploring Operation: 2*34=68, Resulting Numbers: [81, 68]
Generated Node #3: [81, 68] from Operation: 2*34=68
Current State: 13:[81, 68], Operations: ['71-37=34', '2*34=68']
Exploring Operation: 81-68=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
15,
4,
12,
56
] | 22 | [
"12-4=8",
"56/8=7",
"15+7=22"
] | Current State: 22:[15, 4, 12, 56], Operations: []
Exploring Operation: 12-4=8, Resulting Numbers: [15, 56, 8]
Generated Node #2: [15, 56, 8] from Operation: 12-4=8
Current State: 22:[15, 56, 8], Operations: ['12-4=8']
Exploring Operation: 56/8=7, Resulting Numbers: [15, 7]
Generated Node #3: [15, 7] from Operation: 56/8=7
Current State: 22:[15, 7], Operations: ['12-4=8', '56/8=7']
Exploring Operation: 15+7=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
44,
27,
54,
32
] | 39 | [
"44-27=17",
"54-32=22",
"17+22=39"
] | Current State: 39:[44, 27, 54, 32], Operations: []
Exploring Operation: 44-27=17, Resulting Numbers: [54, 32, 17]
Generated Node #2: [54, 32, 17] from Operation: 44-27=17
Current State: 39:[54, 32, 17], Operations: ['44-27=17']
Exploring Operation: 54-32=22, Resulting Numbers: [17, 22]
Generated Node #3: [17, 22] from Operation: 54-32=22
Current State: 39:[17, 22], Operations: ['44-27=17', '54-32=22']
Exploring Operation: 17+22=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
66,
63,
24,
14
] | 66 | [
"66-63=3",
"14*3=42",
"24+42=66"
] | Current State: 66:[66, 63, 24, 14], Operations: []
Exploring Operation: 66-63=3, Resulting Numbers: [24, 14, 3]
Generated Node #2: [24, 14, 3] from Operation: 66-63=3
Current State: 66:[24, 14, 3], Operations: ['66-63=3']
Exploring Operation: 14*3=42, Resulting Numbers: [24, 42]
Generated Node #3: [24, 42] from Operation: 14*3=42
Current State: 66:[24, 42], Operations: ['66-63=3', '14*3=42']
Exploring Operation: 24+42=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
14,
57,
33,
99
] | 46 | [
"57-14=43",
"99/33=3",
"43+3=46"
] | Current State: 46:[14, 57, 33, 99], Operations: []
Exploring Operation: 57-14=43, Resulting Numbers: [33, 99, 43]
Generated Node #2: [33, 99, 43] from Operation: 57-14=43
Current State: 46:[33, 99, 43], Operations: ['57-14=43']
Exploring Operation: 99/33=3, Resulting Numbers: [43, 3]
Generated Node #3: [43, 3] from Operation: 99/33=3
Current State: 46:[43, 3], Operations: ['57-14=43', '99/33=3']
Exploring Operation: 43+3=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
54,
65,
12,
21
] | 67 | [
"54-12=42",
"42/21=2",
"65+2=67"
] | Current State: 67:[54, 65, 12, 21], Operations: []
Exploring Operation: 54-12=42, Resulting Numbers: [65, 21, 42]
Generated Node #2: [65, 21, 42] from Operation: 54-12=42
Current State: 67:[65, 21, 42], Operations: ['54-12=42']
Exploring Operation: 42/21=2, Resulting Numbers: [65, 2]
Generated Node #3: [65, 2] from Operation: 42/21=2
Current State: 67:[65, 2], Operations: ['54-12=42', '42/21=2']
Exploring Operation: 65+2=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
70,
9,
52,
11
] | 61 | [
"70+52=122",
"11-9=2",
"122/2=61"
] | Current State: 61:[70, 9, 52, 11], Operations: []
Exploring Operation: 70+52=122, Resulting Numbers: [9, 11, 122]
Generated Node #2: [9, 11, 122] from Operation: 70+52=122
Current State: 61:[9, 11, 122], Operations: ['70+52=122']
Exploring Operation: 11-9=2, Resulting Numbers: [122, 2]
Generated Node #3: [122, 2] from Operation: 11-9=2
Current State: 61:[122, 2], Operations: ['70+52=122', '11-9=2']
Exploring Operation: 122/2=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
96,
12,
43,
93
] | 39 | [
"96-93=3",
"12/3=4",
"43-4=39"
] | Current State: 39:[96, 12, 43, 93], Operations: []
Exploring Operation: 96-93=3, Resulting Numbers: [12, 43, 3]
Generated Node #2: [12, 43, 3] from Operation: 96-93=3
Current State: 39:[12, 43, 3], Operations: ['96-93=3']
Exploring Operation: 12/3=4, Resulting Numbers: [43, 4]
Generated Node #3: [43, 4] from Operation: 12/3=4
Current State: 39:[43, 4], Operations: ['96-93=3', '12/3=4']
Exploring Operation: 43-4=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
82,
2,
58,
16
] | 10 | [
"82+2=84",
"58+16=74",
"84-74=10"
] | Current State: 10:[82, 2, 58, 16], Operations: []
Exploring Operation: 82+2=84, Resulting Numbers: [58, 16, 84]
Generated Node #2: [58, 16, 84] from Operation: 82+2=84
Current State: 10:[58, 16, 84], Operations: ['82+2=84']
Exploring Operation: 58+16=74, Resulting Numbers: [84, 74]
Generated Node #3: [84, 74] from Operation: 58+16=74
Current State: 10:[84, 74], Operations: ['82+2=84', '58+16=74']
Exploring Operation: 84-74=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
73,
99,
76,
84
] | 34 | [
"99-73=26",
"84-76=8",
"26+8=34"
] | Current State: 34:[73, 99, 76, 84], Operations: []
Exploring Operation: 99-73=26, Resulting Numbers: [76, 84, 26]
Generated Node #2: [76, 84, 26] from Operation: 99-73=26
Current State: 34:[76, 84, 26], Operations: ['99-73=26']
Exploring Operation: 84-76=8, Resulting Numbers: [26, 8]
Generated Node #3: [26, 8] from Operation: 84-76=8
Current State: 34:[26, 8], Operations: ['99-73=26', '84-76=8']
Exploring Operation: 26+8=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
49,
74,
73,
30
] | 68 | [
"74-49=25",
"73-30=43",
"25+43=68"
] | Current State: 68:[49, 74, 73, 30], Operations: []
Exploring Operation: 74-49=25, Resulting Numbers: [73, 30, 25]
Generated Node #2: [73, 30, 25] from Operation: 74-49=25
Current State: 68:[73, 30, 25], Operations: ['74-49=25']
Exploring Operation: 73-30=43, Resulting Numbers: [25, 43]
Generated Node #3: [25, 43] from Operation: 73-30=43
Current State: 68:[25, 43], Operations: ['74-49=25', '73-30=43']
Exploring Operation: 25+43=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
72,
38,
67,
88
] | 55 | [
"72-38=34",
"88-67=21",
"34+21=55"
] | Current State: 55:[72, 38, 67, 88], Operations: []
Exploring Operation: 72-38=34, Resulting Numbers: [67, 88, 34]
Generated Node #2: [67, 88, 34] from Operation: 72-38=34
Current State: 55:[67, 88, 34], Operations: ['72-38=34']
Exploring Operation: 88-67=21, Resulting Numbers: [34, 21]
Generated Node #3: [34, 21] from Operation: 88-67=21
Current State: 55:[34, 21], Operations: ['72-38=34', '88-67=21']
Exploring Operation: 34+21=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
82,
52,
32,
18
] | 20 | [
"82-52=30",
"32+18=50",
"50-30=20"
] | Current State: 20:[82, 52, 32, 18], Operations: []
Exploring Operation: 82-52=30, Resulting Numbers: [32, 18, 30]
Generated Node #2: [32, 18, 30] from Operation: 82-52=30
Current State: 20:[32, 18, 30], Operations: ['82-52=30']
Exploring Operation: 32+18=50, Resulting Numbers: [30, 50]
Generated Node #3: [30, 50] from Operation: 32+18=50
Current State: 20:[30, 50], Operations: ['82-52=30', '32+18=50']
Exploring Operation: 50-30=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
8,
77,
79,
86
] | 51 | [
"79-77=2",
"86/2=43",
"8+43=51"
] | Current State: 51:[8, 77, 79, 86], Operations: []
Exploring Operation: 79-77=2, Resulting Numbers: [8, 86, 2]
Generated Node #2: [8, 86, 2] from Operation: 79-77=2
Current State: 51:[8, 86, 2], Operations: ['79-77=2']
Exploring Operation: 86/2=43, Resulting Numbers: [8, 43]
Generated Node #3: [8, 43] from Operation: 86/2=43
Current State: 51:[8, 43], Operations: ['79-77=2', '86/2=43']
Exploring Operation: 8+43=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
80,
48,
62,
14
] | 80 | [
"80+48=128",
"62-14=48",
"128-48=80"
] | Current State: 80:[80, 48, 62, 14], Operations: []
Exploring Operation: 80+48=128, Resulting Numbers: [62, 14, 128]
Generated Node #2: [62, 14, 128] from Operation: 80+48=128
Current State: 80:[62, 14, 128], Operations: ['80+48=128']
Exploring Operation: 62-14=48, Resulting Numbers: [128, 48]
Generated Node #3: [128, 48] from Operation: 62-14=48
Current State: 80:[128, 48], Operations: ['80+48=128', '62-14=48']
Exploring Operation: 128-48=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
58,
6,
57,
27
] | 63 | [
"57-27=30",
"30/6=5",
"58+5=63"
] | Current State: 63:[58, 6, 57, 27], Operations: []
Exploring Operation: 57-27=30, Resulting Numbers: [58, 6, 30]
Generated Node #2: [58, 6, 30] from Operation: 57-27=30
Current State: 63:[58, 6, 30], Operations: ['57-27=30']
Exploring Operation: 30/6=5, Resulting Numbers: [58, 5]
Generated Node #3: [58, 5] from Operation: 30/6=5
Current State: 63:[58, 5], Operations: ['57-27=30', '30/6=5']
Exploring Operation: 58+5=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
32,
27,
13,
16
] | 42 | [
"32/16=2",
"27+13=40",
"2+40=42"
] | Current State: 42:[32, 27, 13, 16], Operations: []
Exploring Operation: 32/16=2, Resulting Numbers: [27, 13, 2]
Generated Node #2: [27, 13, 2] from Operation: 32/16=2
Current State: 42:[27, 13, 2], Operations: ['32/16=2']
Exploring Operation: 27+13=40, Resulting Numbers: [2, 40]
Generated Node #3: [2, 40] from Operation: 27+13=40
Current State: 42:[2, 40], Operations: ['32/16=2', '27+13=40']
Exploring Operation: 2+40=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
86,
12,
22,
12
] | 63 | [
"86-22=64",
"12/12=1",
"64-1=63"
] | Current State: 63:[86, 12, 22, 12], Operations: []
Exploring Operation: 86-22=64, Resulting Numbers: [12, 12, 64]
Generated Node #2: [12, 12, 64] from Operation: 86-22=64
Current State: 63:[12, 12, 64], Operations: ['86-22=64']
Exploring Operation: 12/12=1, Resulting Numbers: [64, 1]
Generated Node #3: [64, 1] from Operation: 12/12=1
Current State: 63:[64, 1], Operations: ['86-22=64', '12/12=1']
Exploring Operation: 64-1=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
11,
78,
46,
16
] | 97 | [
"78-11=67",
"46-16=30",
"67+30=97"
] | Current State: 97:[11, 78, 46, 16], Operations: []
Exploring Operation: 78-11=67, Resulting Numbers: [46, 16, 67]
Generated Node #2: [46, 16, 67] from Operation: 78-11=67
Current State: 97:[46, 16, 67], Operations: ['78-11=67']
Exploring Operation: 46-16=30, Resulting Numbers: [67, 30]
Generated Node #3: [67, 30] from Operation: 46-16=30
Current State: 97:[67, 30], Operations: ['78-11=67', '46-16=30']
Exploring Operation: 67+30=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
7,
25,
62,
42
] | 88 | [
"42/7=6",
"25*6=150",
"150-62=88"
] | Current State: 88:[7, 25, 62, 42], Operations: []
Exploring Operation: 42/7=6, Resulting Numbers: [25, 62, 6]
Generated Node #2: [25, 62, 6] from Operation: 42/7=6
Current State: 88:[25, 62, 6], Operations: ['42/7=6']
Exploring Operation: 25*6=150, Resulting Numbers: [62, 150]
Generated Node #3: [62, 150] from Operation: 25*6=150
Current State: 88:[62, 150], Operations: ['42/7=6', '25*6=150']
Exploring Operation: 150-62=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
4,
28,
65,
80
] | 91 | [
"4*28=112",
"65*112=7280",
"7280/80=91"
] | Current State: 91:[4, 28, 65, 80], Operations: []
Exploring Operation: 4*28=112, Resulting Numbers: [65, 80, 112]
Generated Node #2: [65, 80, 112] from Operation: 4*28=112
Current State: 91:[65, 80, 112], Operations: ['4*28=112']
Exploring Operation: 65*112=7280, Resulting Numbers: [80, 7280]
Generated Node #3: [80, 7280] from Operation: 65*112=7280
Current State: 91:[80, 7280], Operations: ['4*28=112', '65*112=7280']
Exploring Operation: 7280/80=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
29,
45,
61,
89
] | 12 | [
"45-29=16",
"89-61=28",
"28-16=12"
] | Current State: 12:[29, 45, 61, 89], Operations: []
Exploring Operation: 45-29=16, Resulting Numbers: [61, 89, 16]
Generated Node #2: [61, 89, 16] from Operation: 45-29=16
Current State: 12:[61, 89, 16], Operations: ['45-29=16']
Exploring Operation: 89-61=28, Resulting Numbers: [16, 28]
Generated Node #3: [16, 28] from Operation: 89-61=28
Current State: 12:[16, 28], Operations: ['45-29=16', '89-61=28']
Exploring Operation: 28-16=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
32,
38,
56,
26
] | 88 | [
"38-32=6",
"56+26=82",
"6+82=88"
] | Current State: 88:[32, 38, 56, 26], Operations: []
Exploring Operation: 38-32=6, Resulting Numbers: [56, 26, 6]
Generated Node #2: [56, 26, 6] from Operation: 38-32=6
Current State: 88:[56, 26, 6], Operations: ['38-32=6']
Exploring Operation: 56+26=82, Resulting Numbers: [6, 82]
Generated Node #3: [6, 82] from Operation: 56+26=82
Current State: 88:[6, 82], Operations: ['38-32=6', '56+26=82']
Exploring Operation: 6+82=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
91,
63,
10,
11
] | 29 | [
"91-63=28",
"11-10=1",
"28+1=29"
] | Current State: 29:[91, 63, 10, 11], Operations: []
Exploring Operation: 91-63=28, Resulting Numbers: [10, 11, 28]
Generated Node #2: [10, 11, 28] from Operation: 91-63=28
Current State: 29:[10, 11, 28], Operations: ['91-63=28']
Exploring Operation: 11-10=1, Resulting Numbers: [28, 1]
Generated Node #3: [28, 1] from Operation: 11-10=1
Current State: 29:[28, 1], Operations: ['91-63=28', '11-10=1']
Exploring Operation: 28+1=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
95,
76,
46,
6
] | 85 | [
"76-46=30",
"6*30=180",
"180-95=85"
] | Current State: 85:[95, 76, 46, 6], Operations: []
Exploring Operation: 76-46=30, Resulting Numbers: [95, 6, 30]
Generated Node #2: [95, 6, 30] from Operation: 76-46=30
Current State: 85:[95, 6, 30], Operations: ['76-46=30']
Exploring Operation: 6*30=180, Resulting Numbers: [95, 180]
Generated Node #3: [95, 180] from Operation: 6*30=180
Current State: 85:[95, 180], Operations: ['76-46=30', '6*30=180']
Exploring Operation: 180-95=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
21,
82,
53,
27
] | 23 | [
"21+82=103",
"53+27=80",
"103-80=23"
] | Current State: 23:[21, 82, 53, 27], Operations: []
Exploring Operation: 21+82=103, Resulting Numbers: [53, 27, 103]
Generated Node #2: [53, 27, 103] from Operation: 21+82=103
Current State: 23:[53, 27, 103], Operations: ['21+82=103']
Exploring Operation: 53+27=80, Resulting Numbers: [103, 80]
Generated Node #3: [103, 80] from Operation: 53+27=80
Current State: 23:[103, 80], Operations: ['21+82=103', '53+27=80']
Exploring Operation: 103-80=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
41,
18,
14,
54
] | 45 | [
"41-18=23",
"14+54=68",
"68-23=45"
] | Current State: 45:[41, 18, 14, 54], Operations: []
Exploring Operation: 41-18=23, Resulting Numbers: [14, 54, 23]
Generated Node #2: [14, 54, 23] from Operation: 41-18=23
Current State: 45:[14, 54, 23], Operations: ['41-18=23']
Exploring Operation: 14+54=68, Resulting Numbers: [23, 68]
Generated Node #3: [23, 68] from Operation: 14+54=68
Current State: 45:[23, 68], Operations: ['41-18=23', '14+54=68']
Exploring Operation: 68-23=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
8,
6,
51,
36
] | 17 | [
"8-6=2",
"51-36=15",
"2+15=17"
] | Current State: 17:[8, 6, 51, 36], Operations: []
Exploring Operation: 8-6=2, Resulting Numbers: [51, 36, 2]
Generated Node #2: [51, 36, 2] from Operation: 8-6=2
Current State: 17:[51, 36, 2], Operations: ['8-6=2']
Exploring Operation: 51-36=15, Resulting Numbers: [2, 15]
Generated Node #3: [2, 15] from Operation: 51-36=15
Current State: 17:[2, 15], Operations: ['8-6=2', '51-36=15']
Exploring Operation: 2+15=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
6,
7,
48,
76
] | 70 | [
"6*7=42",
"76-48=28",
"42+28=70"
] | Current State: 70:[6, 7, 48, 76], Operations: []
Exploring Operation: 6*7=42, Resulting Numbers: [48, 76, 42]
Generated Node #2: [48, 76, 42] from Operation: 6*7=42
Current State: 70:[48, 76, 42], Operations: ['6*7=42']
Exploring Operation: 76-48=28, Resulting Numbers: [42, 28]
Generated Node #3: [42, 28] from Operation: 76-48=28
Current State: 70:[42, 28], Operations: ['6*7=42', '76-48=28']
Exploring Operation: 42+28=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
44,
51,
42,
20
] | 53 | [
"42-20=22",
"44/22=2",
"51+2=53"
] | Current State: 53:[44, 51, 42, 20], Operations: []
Exploring Operation: 42-20=22, Resulting Numbers: [44, 51, 22]
Generated Node #2: [44, 51, 22] from Operation: 42-20=22
Current State: 53:[44, 51, 22], Operations: ['42-20=22']
Exploring Operation: 44/22=2, Resulting Numbers: [51, 2]
Generated Node #3: [51, 2] from Operation: 44/22=2
Current State: 53:[51, 2], Operations: ['42-20=22', '44/22=2']
Exploring Operation: 51+2=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
14,
14,
46,
68
] | 86 | [
"14+14=28",
"46+68=114",
"114-28=86"
] | Current State: 86:[14, 14, 46, 68], Operations: []
Exploring Operation: 14+14=28, Resulting Numbers: [46, 68, 28]
Generated Node #2: [46, 68, 28] from Operation: 14+14=28
Current State: 86:[46, 68, 28], Operations: ['14+14=28']
Exploring Operation: 46+68=114, Resulting Numbers: [28, 114]
Generated Node #3: [28, 114] from Operation: 46+68=114
Current State: 86:[28, 114], Operations: ['14+14=28', '46+68=114']
Exploring Operation: 114-28=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
95,
31,
79,
5
] | 20 | [
"95-31=64",
"79+5=84",
"84-64=20"
] | Current State: 20:[95, 31, 79, 5], Operations: []
Exploring Operation: 95-31=64, Resulting Numbers: [79, 5, 64]
Generated Node #2: [79, 5, 64] from Operation: 95-31=64
Current State: 20:[79, 5, 64], Operations: ['95-31=64']
Exploring Operation: 79+5=84, Resulting Numbers: [64, 84]
Generated Node #3: [64, 84] from Operation: 79+5=84
Current State: 20:[64, 84], Operations: ['95-31=64', '79+5=84']
Exploring Operation: 84-64=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
59,
4,
84,
35
] | 73 | [
"59+35=94",
"84/4=21",
"94-21=73"
] | Current State: 73:[59, 4, 84, 35], Operations: []
Exploring Operation: 59+35=94, Resulting Numbers: [4, 84, 94]
Generated Node #2: [4, 84, 94] from Operation: 59+35=94
Current State: 73:[4, 84, 94], Operations: ['59+35=94']
Exploring Operation: 84/4=21, Resulting Numbers: [94, 21]
Generated Node #3: [94, 21] from Operation: 84/4=21
Current State: 73:[94, 21], Operations: ['59+35=94', '84/4=21']
Exploring Operation: 94-21=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
96,
65,
25,
58
] | 64 | [
"96-65=31",
"58-25=33",
"31+33=64"
] | Current State: 64:[96, 65, 25, 58], Operations: []
Exploring Operation: 96-65=31, Resulting Numbers: [25, 58, 31]
Generated Node #2: [25, 58, 31] from Operation: 96-65=31
Current State: 64:[25, 58, 31], Operations: ['96-65=31']
Exploring Operation: 58-25=33, Resulting Numbers: [31, 33]
Generated Node #3: [31, 33] from Operation: 58-25=33
Current State: 64:[31, 33], Operations: ['96-65=31', '58-25=33']
Exploring Operation: 31+33=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
78,
41,
86,
59
] | 64 | [
"78-41=37",
"86-59=27",
"37+27=64"
] | Current State: 64:[78, 41, 86, 59], Operations: []
Exploring Operation: 78-41=37, Resulting Numbers: [86, 59, 37]
Generated Node #2: [86, 59, 37] from Operation: 78-41=37
Current State: 64:[86, 59, 37], Operations: ['78-41=37']
Exploring Operation: 86-59=27, Resulting Numbers: [37, 27]
Generated Node #3: [37, 27] from Operation: 86-59=27
Current State: 64:[37, 27], Operations: ['78-41=37', '86-59=27']
Exploring Operation: 37+27=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
38,
65,
34,
97
] | 90 | [
"65-38=27",
"97-34=63",
"27+63=90"
] | Current State: 90:[38, 65, 34, 97], Operations: []
Exploring Operation: 65-38=27, Resulting Numbers: [34, 97, 27]
Generated Node #2: [34, 97, 27] from Operation: 65-38=27
Current State: 90:[34, 97, 27], Operations: ['65-38=27']
Exploring Operation: 97-34=63, Resulting Numbers: [27, 63]
Generated Node #3: [27, 63] from Operation: 97-34=63
Current State: 90:[27, 63], Operations: ['65-38=27', '97-34=63']
Exploring Operation: 27+63=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
19,
97,
2,
32
] | 90 | [
"19+97=116",
"116/2=58",
"32+58=90"
] | Current State: 90:[19, 97, 2, 32], Operations: []
Exploring Operation: 19+97=116, Resulting Numbers: [2, 32, 116]
Generated Node #2: [2, 32, 116] from Operation: 19+97=116
Current State: 90:[2, 32, 116], Operations: ['19+97=116']
Exploring Operation: 116/2=58, Resulting Numbers: [32, 58]
Generated Node #3: [32, 58] from Operation: 116/2=58
Current State: 90:[32, 58], Operations: ['19+97=116', '116/2=58']
Exploring Operation: 32+58=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
51,
26,
50,
87
] | 89 | [
"51-26=25",
"50/25=2",
"87+2=89"
] | Current State: 89:[51, 26, 50, 87], Operations: []
Exploring Operation: 51-26=25, Resulting Numbers: [50, 87, 25]
Generated Node #2: [50, 87, 25] from Operation: 51-26=25
Current State: 89:[50, 87, 25], Operations: ['51-26=25']
Exploring Operation: 50/25=2, Resulting Numbers: [87, 2]
Generated Node #3: [87, 2] from Operation: 50/25=2
Current State: 89:[87, 2], Operations: ['51-26=25', '50/25=2']
Exploring Operation: 87+2=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
68,
33,
61,
2
] | 73 | [
"68-61=7",
"33*2=66",
"7+66=73"
] | Current State: 73:[68, 33, 61, 2], Operations: []
Exploring Operation: 68-61=7, Resulting Numbers: [33, 2, 7]
Generated Node #2: [33, 2, 7] from Operation: 68-61=7
Current State: 73:[33, 2, 7], Operations: ['68-61=7']
Exploring Operation: 33*2=66, Resulting Numbers: [7, 66]
Generated Node #3: [7, 66] from Operation: 33*2=66
Current State: 73:[7, 66], Operations: ['68-61=7', '33*2=66']
Exploring Operation: 7+66=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
4,
83,
55,
71
] | 39 | [
"4+83=87",
"55+71=126",
"126-87=39"
] | Current State: 39:[4, 83, 55, 71], Operations: []
Exploring Operation: 4+83=87, Resulting Numbers: [55, 71, 87]
Generated Node #2: [55, 71, 87] from Operation: 4+83=87
Current State: 39:[55, 71, 87], Operations: ['4+83=87']
Exploring Operation: 55+71=126, Resulting Numbers: [87, 126]
Generated Node #3: [87, 126] from Operation: 55+71=126
Current State: 39:[87, 126], Operations: ['4+83=87', '55+71=126']
Exploring Operation: 126-87=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
65,
80,
3,
83
] | 64 | [
"80+3=83",
"83/83=1",
"65-1=64"
] | Current State: 64:[65, 80, 3, 83], Operations: []
Exploring Operation: 80+3=83, Resulting Numbers: [65, 83, 83]
Generated Node #2: [65, 83, 83] from Operation: 80+3=83
Current State: 64:[65, 83, 83], Operations: ['80+3=83']
Exploring Operation: 83/83=1, Resulting Numbers: [65, 1]
Generated Node #3: [65, 1] from Operation: 83/83=1
Current State: 64:[65, 1], Operations: ['80+3=83', '83/83=1']
Exploring Operation: 65-1=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
84,
15,
39,
79
] | 42 | [
"84-79=5",
"15/5=3",
"39+3=42"
] | Current State: 42:[84, 15, 39, 79], Operations: []
Exploring Operation: 84-79=5, Resulting Numbers: [15, 39, 5]
Generated Node #2: [15, 39, 5] from Operation: 84-79=5
Current State: 42:[15, 39, 5], Operations: ['84-79=5']
Exploring Operation: 15/5=3, Resulting Numbers: [39, 3]
Generated Node #3: [39, 3] from Operation: 15/5=3
Current State: 42:[39, 3], Operations: ['84-79=5', '15/5=3']
Exploring Operation: 39+3=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
78,
40,
98,
58
] | 29 | [
"98-78=20",
"40/20=2",
"58/2=29"
] | Current State: 29:[78, 40, 98, 58], Operations: []
Exploring Operation: 98-78=20, Resulting Numbers: [40, 58, 20]
Generated Node #2: [40, 58, 20] from Operation: 98-78=20
Current State: 29:[40, 58, 20], Operations: ['98-78=20']
Exploring Operation: 40/20=2, Resulting Numbers: [58, 2]
Generated Node #3: [58, 2] from Operation: 40/20=2
Current State: 29:[58, 2], Operations: ['98-78=20', '40/20=2']
Exploring Operation: 58/2=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
52,
85,
52,
2
] | 88 | [
"52/52=1",
"85+2=87",
"1+87=88"
] | Current State: 88:[52, 85, 52, 2], Operations: []
Exploring Operation: 52/52=1, Resulting Numbers: [85, 2, 1]
Generated Node #2: [85, 2, 1] from Operation: 52/52=1
Current State: 88:[85, 2, 1], Operations: ['52/52=1']
Exploring Operation: 85+2=87, Resulting Numbers: [1, 87]
Generated Node #3: [1, 87] from Operation: 85+2=87
Current State: 88:[1, 87], Operations: ['52/52=1', '85+2=87']
Exploring Operation: 1+87=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
9,
81,
51,
73
] | 13 | [
"81/9=9",
"73-51=22",
"22-9=13"
] | Current State: 13:[9, 81, 51, 73], Operations: []
Exploring Operation: 81/9=9, Resulting Numbers: [51, 73, 9]
Generated Node #2: [51, 73, 9] from Operation: 81/9=9
Current State: 13:[51, 73, 9], Operations: ['81/9=9']
Exploring Operation: 73-51=22, Resulting Numbers: [9, 22]
Generated Node #3: [9, 22] from Operation: 73-51=22
Current State: 13:[9, 22], Operations: ['81/9=9', '73-51=22']
Exploring Operation: 22-9=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
82,
82,
81,
29
] | 81 | [
"82-82=0",
"29*0=0",
"81+0=81"
] | Current State: 81:[82, 82, 81, 29], Operations: []
Exploring Operation: 82-82=0, Resulting Numbers: [81, 29, 0]
Generated Node #2: [81, 29, 0] from Operation: 82-82=0
Current State: 81:[81, 29, 0], Operations: ['82-82=0']
Exploring Operation: 29*0=0, Resulting Numbers: [81, 0]
Generated Node #3: [81, 0] from Operation: 29*0=0
Current State: 81:[81, 0], Operations: ['82-82=0', '29*0=0']
Exploring Operation: 81+0=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
8,
14,
61,
78
] | 10 | [
"8*78=624",
"624-14=610",
"610/61=10"
] | Current State: 10:[8, 14, 61, 78], Operations: []
Exploring Operation: 8*78=624, Resulting Numbers: [14, 61, 624]
Generated Node #2: [14, 61, 624] from Operation: 8*78=624
Current State: 10:[14, 61, 624], Operations: ['8*78=624']
Exploring Operation: 624-14=610, Resulting Numbers: [61, 610]
Generated Node #3: [61, 610] from Operation: 624-14=610
Current State: 10:[61, 610], Operations: ['8*78=624', '624-14=610']
Exploring Operation: 610/61=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
4,
48,
75,
56
] | 77 | [
"56-48=8",
"8/4=2",
"75+2=77"
] | Current State: 77:[4, 48, 75, 56], Operations: []
Exploring Operation: 56-48=8, Resulting Numbers: [4, 75, 8]
Generated Node #2: [4, 75, 8] from Operation: 56-48=8
Current State: 77:[4, 75, 8], Operations: ['56-48=8']
Exploring Operation: 8/4=2, Resulting Numbers: [75, 2]
Generated Node #3: [75, 2] from Operation: 8/4=2
Current State: 77:[75, 2], Operations: ['56-48=8', '8/4=2']
Exploring Operation: 75+2=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
6,
29,
37,
39
] | 23 | [
"39-29=10",
"6*10=60",
"60-37=23"
] | Current State: 23:[6, 29, 37, 39], Operations: []
Exploring Operation: 39-29=10, Resulting Numbers: [6, 37, 10]
Generated Node #2: [6, 37, 10] from Operation: 39-29=10
Current State: 23:[6, 37, 10], Operations: ['39-29=10']
Exploring Operation: 6*10=60, Resulting Numbers: [37, 60]
Generated Node #3: [37, 60] from Operation: 6*10=60
Current State: 23:[37, 60], Operations: ['39-29=10', '6*10=60']
Exploring Operation: 60-37=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
76,
12,
87,
93
] | 91 | [
"87+93=180",
"180/12=15",
"76+15=91"
] | Current State: 91:[76, 12, 87, 93], Operations: []
Exploring Operation: 87+93=180, Resulting Numbers: [76, 12, 180]
Generated Node #2: [76, 12, 180] from Operation: 87+93=180
Current State: 91:[76, 12, 180], Operations: ['87+93=180']
Exploring Operation: 180/12=15, Resulting Numbers: [76, 15]
Generated Node #3: [76, 15] from Operation: 180/12=15
Current State: 91:[76, 15], Operations: ['87+93=180', '180/12=15']
Exploring Operation: 76+15=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
16,
31,
34,
2
] | 96 | [
"16*2=32",
"34-31=3",
"32*3=96"
] | Current State: 96:[16, 31, 34, 2], Operations: []
Exploring Operation: 16*2=32, Resulting Numbers: [31, 34, 32]
Generated Node #2: [31, 34, 32] from Operation: 16*2=32
Current State: 96:[31, 34, 32], Operations: ['16*2=32']
Exploring Operation: 34-31=3, Resulting Numbers: [32, 3]
Generated Node #3: [32, 3] from Operation: 34-31=3
Current State: 96:[32, 3], Operations: ['16*2=32', '34-31=3']
Exploring Operation: 32*3=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
77,
14,
12,
83
] | 84 | [
"77+12=89",
"89-83=6",
"14*6=84"
] | Current State: 84:[77, 14, 12, 83], Operations: []
Exploring Operation: 77+12=89, Resulting Numbers: [14, 83, 89]
Generated Node #2: [14, 83, 89] from Operation: 77+12=89
Current State: 84:[14, 83, 89], Operations: ['77+12=89']
Exploring Operation: 89-83=6, Resulting Numbers: [14, 6]
Generated Node #3: [14, 6] from Operation: 89-83=6
Current State: 84:[14, 6], Operations: ['77+12=89', '89-83=6']
Exploring Operation: 14*6=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
5,
92,
76,
81
] | 67 | [
"81-76=5",
"5*5=25",
"92-25=67"
] | Current State: 67:[5, 92, 76, 81], Operations: []
Exploring Operation: 81-76=5, Resulting Numbers: [5, 92, 5]
Generated Node #2: [5, 92, 5] from Operation: 81-76=5
Current State: 67:[5, 92, 5], Operations: ['81-76=5']
Exploring Operation: 5*5=25, Resulting Numbers: [92, 25]
Generated Node #3: [92, 25] from Operation: 5*5=25
Current State: 67:[92, 25], Operations: ['81-76=5', '5*5=25']
Exploring Operation: 92-25=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
5,
74,
49,
76
] | 61 | [
"76-49=27",
"5*27=135",
"135-74=61"
] | Current State: 61:[5, 74, 49, 76], Operations: []
Exploring Operation: 76-49=27, Resulting Numbers: [5, 74, 27]
Generated Node #2: [5, 74, 27] from Operation: 76-49=27
Current State: 61:[5, 74, 27], Operations: ['76-49=27']
Exploring Operation: 5*27=135, Resulting Numbers: [74, 135]
Generated Node #3: [74, 135] from Operation: 5*27=135
Current State: 61:[74, 135], Operations: ['76-49=27', '5*27=135']
Exploring Operation: 135-74=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
78,
26,
8,
28
] | 17 | [
"78/26=3",
"28-8=20",
"20-3=17"
] | Current State: 17:[78, 26, 8, 28], Operations: []
Exploring Operation: 78/26=3, Resulting Numbers: [8, 28, 3]
Generated Node #2: [8, 28, 3] from Operation: 78/26=3
Current State: 17:[8, 28, 3], Operations: ['78/26=3']
Exploring Operation: 28-8=20, Resulting Numbers: [3, 20]
Generated Node #3: [3, 20] from Operation: 28-8=20
Current State: 17:[3, 20], Operations: ['78/26=3', '28-8=20']
Exploring Operation: 20-3=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
51,
6,
15,
50
] | 91 | [
"51-50=1",
"6*15=90",
"1+90=91"
] | Current State: 91:[51, 6, 15, 50], Operations: []
Exploring Operation: 51-50=1, Resulting Numbers: [6, 15, 1]
Generated Node #2: [6, 15, 1] from Operation: 51-50=1
Current State: 91:[6, 15, 1], Operations: ['51-50=1']
Exploring Operation: 6*15=90, Resulting Numbers: [1, 90]
Generated Node #3: [1, 90] from Operation: 6*15=90
Current State: 91:[1, 90], Operations: ['51-50=1', '6*15=90']
Exploring Operation: 1+90=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
36,
83,
29,
28
] | 62 | [
"36+83=119",
"29+28=57",
"119-57=62"
] | Current State: 62:[36, 83, 29, 28], Operations: []
Exploring Operation: 36+83=119, Resulting Numbers: [29, 28, 119]
Generated Node #2: [29, 28, 119] from Operation: 36+83=119
Current State: 62:[29, 28, 119], Operations: ['36+83=119']
Exploring Operation: 29+28=57, Resulting Numbers: [119, 57]
Generated Node #3: [119, 57] from Operation: 29+28=57
Current State: 62:[119, 57], Operations: ['36+83=119', '29+28=57']
Exploring Operation: 119-57=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
64,
19,
20,
14
] | 13 | [
"64+20=84",
"84/14=6",
"19-6=13"
] | Current State: 13:[64, 19, 20, 14], Operations: []
Exploring Operation: 64+20=84, Resulting Numbers: [19, 14, 84]
Generated Node #2: [19, 14, 84] from Operation: 64+20=84
Current State: 13:[19, 14, 84], Operations: ['64+20=84']
Exploring Operation: 84/14=6, Resulting Numbers: [19, 6]
Generated Node #3: [19, 6] from Operation: 84/14=6
Current State: 13:[19, 6], Operations: ['64+20=84', '84/14=6']
Exploring Operation: 19-6=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
22,
48,
44,
72
] | 46 | [
"22+48=70",
"44+72=116",
"116-70=46"
] | Current State: 46:[22, 48, 44, 72], Operations: []
Exploring Operation: 22+48=70, Resulting Numbers: [44, 72, 70]
Generated Node #2: [44, 72, 70] from Operation: 22+48=70
Current State: 46:[44, 72, 70], Operations: ['22+48=70']
Exploring Operation: 44+72=116, Resulting Numbers: [70, 116]
Generated Node #3: [70, 116] from Operation: 44+72=116
Current State: 46:[70, 116], Operations: ['22+48=70', '44+72=116']
Exploring Operation: 116-70=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
85,
49,
92,
2
] | 79 | [
"85+92=177",
"49*2=98",
"177-98=79"
] | Current State: 79:[85, 49, 92, 2], Operations: []
Exploring Operation: 85+92=177, Resulting Numbers: [49, 2, 177]
Generated Node #2: [49, 2, 177] from Operation: 85+92=177
Current State: 79:[49, 2, 177], Operations: ['85+92=177']
Exploring Operation: 49*2=98, Resulting Numbers: [177, 98]
Generated Node #3: [177, 98] from Operation: 49*2=98
Current State: 79:[177, 98], Operations: ['85+92=177', '49*2=98']
Exploring Operation: 177-98=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
17,
65,
45,
27
] | 81 | [
"65-17=48",
"48-45=3",
"27*3=81"
] | Current State: 81:[17, 65, 45, 27], Operations: []
Exploring Operation: 65-17=48, Resulting Numbers: [45, 27, 48]
Generated Node #2: [45, 27, 48] from Operation: 65-17=48
Current State: 81:[45, 27, 48], Operations: ['65-17=48']
Exploring Operation: 48-45=3, Resulting Numbers: [27, 3]
Generated Node #3: [27, 3] from Operation: 48-45=3
Current State: 81:[27, 3], Operations: ['65-17=48', '48-45=3']
Exploring Operation: 27*3=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
7,
84,
57,
25
] | 70 | [
"84/7=12",
"57+25=82",
"82-12=70"
] | Current State: 70:[7, 84, 57, 25], Operations: []
Exploring Operation: 84/7=12, Resulting Numbers: [57, 25, 12]
Generated Node #2: [57, 25, 12] from Operation: 84/7=12
Current State: 70:[57, 25, 12], Operations: ['84/7=12']
Exploring Operation: 57+25=82, Resulting Numbers: [12, 82]
Generated Node #3: [12, 82] from Operation: 57+25=82
Current State: 70:[12, 82], Operations: ['84/7=12', '57+25=82']
Exploring Operation: 82-12=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
94,
36,
52,
72
] | 99 | [
"94*36=3384",
"3384/72=47",
"52+47=99"
] | Current State: 99:[94, 36, 52, 72], Operations: []
Exploring Operation: 94*36=3384, Resulting Numbers: [52, 72, 3384]
Generated Node #2: [52, 72, 3384] from Operation: 94*36=3384
Current State: 99:[52, 72, 3384], Operations: ['94*36=3384']
Exploring Operation: 3384/72=47, Resulting Numbers: [52, 47]
Generated Node #3: [52, 47] from Operation: 3384/72=47
Current State: 99:[52, 47], Operations: ['94*36=3384', '3384/72=47']
Exploring Operation: 52+47=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
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