nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
18,
88,
94,
11
] | 97 | [
"94-88=6",
"18*6=108",
"108-11=97"
] | Current State: 97:[18, 88, 94, 11], Operations: []
Exploring Operation: 94-88=6, Resulting Numbers: [18, 11, 6]
Generated Node #2: [18, 11, 6] from Operation: 94-88=6
Current State: 97:[18, 11, 6], Operations: ['94-88=6']
Exploring Operation: 18*6=108, Resulting Numbers: [11, 108]
Generated Node #3: [11, 108] from Operation: 18*6=108
Current State: 97:[11, 108], Operations: ['94-88=6', '18*6=108']
Exploring Operation: 108-11=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
13,
65,
16,
2
] | 65 | [
"16-13=3",
"3-2=1",
"65*1=65"
] | Current State: 65:[13, 65, 16, 2], Operations: []
Exploring Operation: 16-13=3, Resulting Numbers: [65, 2, 3]
Generated Node #2: [65, 2, 3] from Operation: 16-13=3
Current State: 65:[65, 2, 3], Operations: ['16-13=3']
Exploring Operation: 3-2=1, Resulting Numbers: [65, 1]
Generated Node #3: [65, 1] from Operation: 3-2=1
Current State: 65:[65, 1], Operations: ['16-13=3', '3-2=1']
Exploring Operation: 65*1=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
94,
94,
33,
28
] | 61 | [
"94-94=0",
"33+28=61",
"0+61=61"
] | Current State: 61:[94, 94, 33, 28], Operations: []
Exploring Operation: 94-94=0, Resulting Numbers: [33, 28, 0]
Generated Node #2: [33, 28, 0] from Operation: 94-94=0
Current State: 61:[33, 28, 0], Operations: ['94-94=0']
Exploring Operation: 33+28=61, Resulting Numbers: [0, 61]
Generated Node #3: [0, 61] from Operation: 33+28=61
Current State: 61:[0, 61], Operations: ['94-94=0', '33+28=61']
Exploring Operation: 0+61=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
53,
14,
82,
39
] | 54 | [
"53+14=67",
"82+39=121",
"121-67=54"
] | Current State: 54:[53, 14, 82, 39], Operations: []
Exploring Operation: 53+14=67, Resulting Numbers: [82, 39, 67]
Generated Node #2: [82, 39, 67] from Operation: 53+14=67
Current State: 54:[82, 39, 67], Operations: ['53+14=67']
Exploring Operation: 82+39=121, Resulting Numbers: [67, 121]
Generated Node #3: [67, 121] from Operation: 82+39=121
Current State: 54:[67, 121], Operations: ['53+14=67', '82+39=121']
Exploring Operation: 121-67=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
77,
11,
30,
7
] | 44 | [
"77/11=7",
"30+7=37",
"7+37=44"
] | Current State: 44:[77, 11, 30, 7], Operations: []
Exploring Operation: 77/11=7, Resulting Numbers: [30, 7, 7]
Generated Node #2: [30, 7, 7] from Operation: 77/11=7
Current State: 44:[30, 7, 7], Operations: ['77/11=7']
Exploring Operation: 30+7=37, Resulting Numbers: [37]
37,44 equal: Goal Reached
Exploring Operation: 7+37=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
94,
65,
36,
60
] | 55 | [
"65*36=2340",
"2340/60=39",
"94-39=55"
] | Current State: 55:[94, 65, 36, 60], Operations: []
Exploring Operation: 65*36=2340, Resulting Numbers: [94, 60, 2340]
Generated Node #2: [94, 60, 2340] from Operation: 65*36=2340
Current State: 55:[94, 60, 2340], Operations: ['65*36=2340']
Exploring Operation: 2340/60=39, Resulting Numbers: [94, 39]
Generated Node #3: [94, 39] from Operation: 2340/60=39
Current State: 55:[94, 39], Operations: ['65*36=2340', '2340/60=39']
Exploring Operation: 94-39=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
12,
26,
27,
48
] | 36 | [
"48-12=36",
"27-26=1",
"36*1=36"
] | Current State: 36:[12, 26, 27, 48], Operations: []
Exploring Operation: 48-12=36, Resulting Numbers: [26, 27, 36]
Generated Node #2: [26, 27, 36] from Operation: 48-12=36
Current State: 36:[26, 27, 36], Operations: ['48-12=36']
Exploring Operation: 27-26=1, Resulting Numbers: [36, 1]
Generated Node #3: [36, 1] from Operation: 27-26=1
Current State: 36:[36, 1], Operations: ['48-12=36', '27-26=1']
Exploring Operation: 36*1=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
8,
48,
16,
16
] | 24 | [
"8+48=56",
"16+16=32",
"56-32=24"
] | Current State: 24:[8, 48, 16, 16], Operations: []
Exploring Operation: 8+48=56, Resulting Numbers: [16, 16, 56]
Generated Node #2: [16, 16, 56] from Operation: 8+48=56
Current State: 24:[16, 16, 56], Operations: ['8+48=56']
Exploring Operation: 16+16=32, Resulting Numbers: [56, 32]
Generated Node #3: [56, 32] from Operation: 16+16=32
Current State: 24:[56, 32], Operations: ['8+48=56', '16+16=32']
Exploring Operation: 56-32=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
95,
69,
24,
48
] | 28 | [
"95-69=26",
"48/24=2",
"26+2=28"
] | Current State: 28:[95, 69, 24, 48], Operations: []
Exploring Operation: 95-69=26, Resulting Numbers: [24, 48, 26]
Generated Node #2: [24, 48, 26] from Operation: 95-69=26
Current State: 28:[24, 48, 26], Operations: ['95-69=26']
Exploring Operation: 48/24=2, Resulting Numbers: [26, 2]
Generated Node #3: [26, 2] from Operation: 48/24=2
Current State: 28:[26, 2], Operations: ['95-69=26', '48/24=2']
Exploring Operation: 26+2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
25,
1,
38,
76
] | 26 | [
"25-1=24",
"76/38=2",
"24+2=26"
] | Current State: 26:[25, 1, 38, 76], Operations: []
Exploring Operation: 25-1=24, Resulting Numbers: [38, 76, 24]
Generated Node #2: [38, 76, 24] from Operation: 25-1=24
Current State: 26:[38, 76, 24], Operations: ['25-1=24']
Exploring Operation: 76/38=2, Resulting Numbers: [24, 2]
Generated Node #3: [24, 2] from Operation: 76/38=2
Current State: 26:[24, 2], Operations: ['25-1=24', '76/38=2']
Exploring Operation: 24+2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
5,
76,
32,
82
] | 33 | [
"5+76=81",
"32+82=114",
"114-81=33"
] | Current State: 33:[5, 76, 32, 82], Operations: []
Exploring Operation: 5+76=81, Resulting Numbers: [32, 82, 81]
Generated Node #2: [32, 82, 81] from Operation: 5+76=81
Current State: 33:[32, 82, 81], Operations: ['5+76=81']
Exploring Operation: 32+82=114, Resulting Numbers: [81, 114]
Generated Node #3: [81, 114] from Operation: 32+82=114
Current State: 33:[81, 114], Operations: ['5+76=81', '32+82=114']
Exploring Operation: 114-81=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
65,
42,
11,
66
] | 29 | [
"65-42=23",
"66/11=6",
"23+6=29"
] | Current State: 29:[65, 42, 11, 66], Operations: []
Exploring Operation: 65-42=23, Resulting Numbers: [11, 66, 23]
Generated Node #2: [11, 66, 23] from Operation: 65-42=23
Current State: 29:[11, 66, 23], Operations: ['65-42=23']
Exploring Operation: 66/11=6, Resulting Numbers: [23, 6]
Generated Node #3: [23, 6] from Operation: 66/11=6
Current State: 29:[23, 6], Operations: ['65-42=23', '66/11=6']
Exploring Operation: 23+6=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
67,
40,
24,
54
] | 22 | [
"67-40=27",
"54/27=2",
"24-2=22"
] | Current State: 22:[67, 40, 24, 54], Operations: []
Exploring Operation: 67-40=27, Resulting Numbers: [24, 54, 27]
Generated Node #2: [24, 54, 27] from Operation: 67-40=27
Current State: 22:[24, 54, 27], Operations: ['67-40=27']
Exploring Operation: 54/27=2, Resulting Numbers: [24, 2]
Generated Node #3: [24, 2] from Operation: 54/27=2
Current State: 22:[24, 2], Operations: ['67-40=27', '54/27=2']
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
86,
70,
40,
90
] | 66 | [
"86-70=16",
"90-40=50",
"16+50=66"
] | Current State: 66:[86, 70, 40, 90], Operations: []
Exploring Operation: 86-70=16, Resulting Numbers: [40, 90, 16]
Generated Node #2: [40, 90, 16] from Operation: 86-70=16
Current State: 66:[40, 90, 16], Operations: ['86-70=16']
Exploring Operation: 90-40=50, Resulting Numbers: [16, 50]
Generated Node #3: [16, 50] from Operation: 90-40=50
Current State: 66:[16, 50], Operations: ['86-70=16', '90-40=50']
Exploring Operation: 16+50=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
26,
44,
44,
78
] | 91 | [
"78/26=3",
"44+44=88",
"3+88=91"
] | Current State: 91:[26, 44, 44, 78], Operations: []
Exploring Operation: 78/26=3, Resulting Numbers: [44, 44, 3]
Generated Node #2: [44, 44, 3] from Operation: 78/26=3
Current State: 91:[44, 44, 3], Operations: ['78/26=3']
Exploring Operation: 44+44=88, Resulting Numbers: [3, 88]
Generated Node #3: [3, 88] from Operation: 44+44=88
Current State: 91:[3, 88], Operations: ['78/26=3', '44+44=88']
Exploring Operation: 3+88=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
25,
3,
20,
99
] | 84 | [
"25+20=45",
"45/3=15",
"99-15=84"
] | Current State: 84:[25, 3, 20, 99], Operations: []
Exploring Operation: 25+20=45, Resulting Numbers: [3, 99, 45]
Generated Node #2: [3, 99, 45] from Operation: 25+20=45
Current State: 84:[3, 99, 45], Operations: ['25+20=45']
Exploring Operation: 45/3=15, Resulting Numbers: [99, 15]
Generated Node #3: [99, 15] from Operation: 45/3=15
Current State: 84:[99, 15], Operations: ['25+20=45', '45/3=15']
Exploring Operation: 99-15=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
85,
87,
3,
78
] | 82 | [
"87-78=9",
"9/3=3",
"85-3=82"
] | Current State: 82:[85, 87, 3, 78], Operations: []
Exploring Operation: 87-78=9, Resulting Numbers: [85, 3, 9]
Generated Node #2: [85, 3, 9] from Operation: 87-78=9
Current State: 82:[85, 3, 9], Operations: ['87-78=9']
Exploring Operation: 9/3=3, Resulting Numbers: [85, 3]
Generated Node #3: [85, 3] from Operation: 9/3=3
Current State: 82:[85, 3], Operations: ['87-78=9', '9/3=3']
Exploring Operation: 85-3=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
46,
36,
72,
13
] | 61 | [
"46+13=59",
"72/36=2",
"59+2=61"
] | Current State: 61:[46, 36, 72, 13], Operations: []
Exploring Operation: 46+13=59, Resulting Numbers: [36, 72, 59]
Generated Node #2: [36, 72, 59] from Operation: 46+13=59
Current State: 61:[36, 72, 59], Operations: ['46+13=59']
Exploring Operation: 72/36=2, Resulting Numbers: [59, 2]
Generated Node #3: [59, 2] from Operation: 72/36=2
Current State: 61:[59, 2], Operations: ['46+13=59', '72/36=2']
Exploring Operation: 59+2=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
50,
66,
32,
64
] | 66 | [
"66-50=16",
"32/16=2",
"64+2=66"
] | Current State: 66:[50, 66, 32, 64], Operations: []
Exploring Operation: 66-50=16, Resulting Numbers: [32, 64, 16]
Generated Node #2: [32, 64, 16] from Operation: 66-50=16
Current State: 66:[32, 64, 16], Operations: ['66-50=16']
Exploring Operation: 32/16=2, Resulting Numbers: [64, 2]
Generated Node #3: [64, 2] from Operation: 32/16=2
Current State: 66:[64, 2], Operations: ['66-50=16', '32/16=2']
Exploring Operation: 64+2=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
3,
38,
39,
90
] | 39 | [
"39/3=13",
"90-38=52",
"52-13=39"
] | Current State: 39:[3, 38, 39, 90], Operations: []
Exploring Operation: 39/3=13, Resulting Numbers: [38, 90, 13]
Generated Node #2: [38, 90, 13] from Operation: 39/3=13
Current State: 39:[38, 90, 13], Operations: ['39/3=13']
Exploring Operation: 90-38=52, Resulting Numbers: [13, 52]
Generated Node #3: [13, 52] from Operation: 90-38=52
Current State: 39:[13, 52], Operations: ['39/3=13', '90-38=52']
Exploring Operation: 52-13=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
70,
8,
99,
50
] | 87 | [
"70-8=62",
"99+50=149",
"149-62=87"
] | Current State: 87:[70, 8, 99, 50], Operations: []
Exploring Operation: 70-8=62, Resulting Numbers: [99, 50, 62]
Generated Node #2: [99, 50, 62] from Operation: 70-8=62
Current State: 87:[99, 50, 62], Operations: ['70-8=62']
Exploring Operation: 99+50=149, Resulting Numbers: [62, 149]
Generated Node #3: [62, 149] from Operation: 99+50=149
Current State: 87:[62, 149], Operations: ['70-8=62', '99+50=149']
Exploring Operation: 149-62=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
75,
17,
18,
37
] | 38 | [
"75-37=38",
"18-17=1",
"38*1=38"
] | Current State: 38:[75, 17, 18, 37], Operations: []
Exploring Operation: 75-37=38, Resulting Numbers: [17, 18, 38]
Generated Node #2: [17, 18, 38] from Operation: 75-37=38
Current State: 38:[17, 18, 38], Operations: ['75-37=38']
Exploring Operation: 18-17=1, Resulting Numbers: [38, 1]
Generated Node #3: [38, 1] from Operation: 18-17=1
Current State: 38:[38, 1], Operations: ['75-37=38', '18-17=1']
Exploring Operation: 38*1=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
92,
35,
9,
18
] | 61 | [
"35-18=17",
"9*17=153",
"153-92=61"
] | Current State: 61:[92, 35, 9, 18], Operations: []
Exploring Operation: 35-18=17, Resulting Numbers: [92, 9, 17]
Generated Node #2: [92, 9, 17] from Operation: 35-18=17
Current State: 61:[92, 9, 17], Operations: ['35-18=17']
Exploring Operation: 9*17=153, Resulting Numbers: [92, 153]
Generated Node #3: [92, 153] from Operation: 9*17=153
Current State: 61:[92, 153], Operations: ['35-18=17', '9*17=153']
Exploring Operation: 153-92=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
12,
49,
36,
80
] | 67 | [
"36/12=3",
"49*3=147",
"147-80=67"
] | Current State: 67:[12, 49, 36, 80], Operations: []
Exploring Operation: 36/12=3, Resulting Numbers: [49, 80, 3]
Generated Node #2: [49, 80, 3] from Operation: 36/12=3
Current State: 67:[49, 80, 3], Operations: ['36/12=3']
Exploring Operation: 49*3=147, Resulting Numbers: [80, 147]
Generated Node #3: [80, 147] from Operation: 49*3=147
Current State: 67:[80, 147], Operations: ['36/12=3', '49*3=147']
Exploring Operation: 147-80=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
75,
81,
41,
95
] | 20 | [
"75+81=156",
"41+95=136",
"156-136=20"
] | Current State: 20:[75, 81, 41, 95], Operations: []
Exploring Operation: 75+81=156, Resulting Numbers: [41, 95, 156]
Generated Node #2: [41, 95, 156] from Operation: 75+81=156
Current State: 20:[41, 95, 156], Operations: ['75+81=156']
Exploring Operation: 41+95=136, Resulting Numbers: [156, 136]
Generated Node #3: [156, 136] from Operation: 41+95=136
Current State: 20:[156, 136], Operations: ['75+81=156', '41+95=136']
Exploring Operation: 156-136=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
40,
8,
92,
46
] | 30 | [
"40-8=32",
"92/46=2",
"32-2=30"
] | Current State: 30:[40, 8, 92, 46], Operations: []
Exploring Operation: 40-8=32, Resulting Numbers: [92, 46, 32]
Generated Node #2: [92, 46, 32] from Operation: 40-8=32
Current State: 30:[92, 46, 32], Operations: ['40-8=32']
Exploring Operation: 92/46=2, Resulting Numbers: [32, 2]
Generated Node #3: [32, 2] from Operation: 92/46=2
Current State: 30:[32, 2], Operations: ['40-8=32', '92/46=2']
Exploring Operation: 32-2=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
83,
52,
33,
2
] | 24 | [
"83-33=50",
"52/2=26",
"50-26=24"
] | Current State: 24:[83, 52, 33, 2], Operations: []
Exploring Operation: 83-33=50, Resulting Numbers: [52, 2, 50]
Generated Node #2: [52, 2, 50] from Operation: 83-33=50
Current State: 24:[52, 2, 50], Operations: ['83-33=50']
Exploring Operation: 52/2=26, Resulting Numbers: [50, 26]
Generated Node #3: [50, 26] from Operation: 52/2=26
Current State: 24:[50, 26], Operations: ['83-33=50', '52/2=26']
Exploring Operation: 50-26=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
8,
10,
85,
2
] | 89 | [
"10-8=2",
"85+2=87",
"2+87=89"
] | Current State: 89:[8, 10, 85, 2], Operations: []
Exploring Operation: 10-8=2, Resulting Numbers: [85, 2, 2]
Generated Node #2: [85, 2, 2] from Operation: 10-8=2
Current State: 89:[85, 2, 2], Operations: ['10-8=2']
Exploring Operation: 85+2=87, Resulting Numbers: [87]
87,89 equal: Goal Reached
Exploring Operation: 2+87=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
22,
51,
8,
87
] | 11 | [
"51-22=29",
"87/29=3",
"8+3=11"
] | Current State: 11:[22, 51, 8, 87], Operations: []
Exploring Operation: 51-22=29, Resulting Numbers: [8, 87, 29]
Generated Node #2: [8, 87, 29] from Operation: 51-22=29
Current State: 11:[8, 87, 29], Operations: ['51-22=29']
Exploring Operation: 87/29=3, Resulting Numbers: [8, 3]
Generated Node #3: [8, 3] from Operation: 87/29=3
Current State: 11:[8, 3], Operations: ['51-22=29', '87/29=3']
Exploring Operation: 8+3=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
22,
39,
71,
5
] | 14 | [
"39-22=17",
"5*17=85",
"85-71=14"
] | Current State: 14:[22, 39, 71, 5], Operations: []
Exploring Operation: 39-22=17, Resulting Numbers: [71, 5, 17]
Generated Node #2: [71, 5, 17] from Operation: 39-22=17
Current State: 14:[71, 5, 17], Operations: ['39-22=17']
Exploring Operation: 5*17=85, Resulting Numbers: [71, 85]
Generated Node #3: [71, 85] from Operation: 5*17=85
Current State: 14:[71, 85], Operations: ['39-22=17', '5*17=85']
Exploring Operation: 85-71=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
58,
59,
89,
7
] | 82 | [
"59-58=1",
"89-7=82",
"1*82=82"
] | Current State: 82:[58, 59, 89, 7], Operations: []
Exploring Operation: 59-58=1, Resulting Numbers: [89, 7, 1]
Generated Node #2: [89, 7, 1] from Operation: 59-58=1
Current State: 82:[89, 7, 1], Operations: ['59-58=1']
Exploring Operation: 89-7=82, Resulting Numbers: [1, 82]
Generated Node #3: [1, 82] from Operation: 89-7=82
Current State: 82:[1, 82], Operations: ['59-58=1', '89-7=82']
Exploring Operation: 1*82=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
85,
33,
76,
72
] | 96 | [
"85-33=52",
"76+72=148",
"148-52=96"
] | Current State: 96:[85, 33, 76, 72], Operations: []
Exploring Operation: 85-33=52, Resulting Numbers: [76, 72, 52]
Generated Node #2: [76, 72, 52] from Operation: 85-33=52
Current State: 96:[76, 72, 52], Operations: ['85-33=52']
Exploring Operation: 76+72=148, Resulting Numbers: [52, 148]
Generated Node #3: [52, 148] from Operation: 76+72=148
Current State: 96:[52, 148], Operations: ['85-33=52', '76+72=148']
Exploring Operation: 148-52=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
84,
14,
8,
80
] | 32 | [
"84/14=6",
"8*6=48",
"80-48=32"
] | Current State: 32:[84, 14, 8, 80], Operations: []
Exploring Operation: 84/14=6, Resulting Numbers: [8, 80, 6]
Generated Node #2: [8, 80, 6] from Operation: 84/14=6
Current State: 32:[8, 80, 6], Operations: ['84/14=6']
Exploring Operation: 8*6=48, Resulting Numbers: [80, 48]
Generated Node #3: [80, 48] from Operation: 8*6=48
Current State: 32:[80, 48], Operations: ['84/14=6', '8*6=48']
Exploring Operation: 80-48=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
68,
43,
38,
95
] | 82 | [
"68-43=25",
"95-38=57",
"25+57=82"
] | Current State: 82:[68, 43, 38, 95], Operations: []
Exploring Operation: 68-43=25, Resulting Numbers: [38, 95, 25]
Generated Node #2: [38, 95, 25] from Operation: 68-43=25
Current State: 82:[38, 95, 25], Operations: ['68-43=25']
Exploring Operation: 95-38=57, Resulting Numbers: [25, 57]
Generated Node #3: [25, 57] from Operation: 95-38=57
Current State: 82:[25, 57], Operations: ['68-43=25', '95-38=57']
Exploring Operation: 25+57=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
19,
12,
25,
23
] | 15 | [
"25+23=48",
"48/12=4",
"19-4=15"
] | Current State: 15:[19, 12, 25, 23], Operations: []
Exploring Operation: 25+23=48, Resulting Numbers: [19, 12, 48]
Generated Node #2: [19, 12, 48] from Operation: 25+23=48
Current State: 15:[19, 12, 48], Operations: ['25+23=48']
Exploring Operation: 48/12=4, Resulting Numbers: [19, 4]
Generated Node #3: [19, 4] from Operation: 48/12=4
Current State: 15:[19, 4], Operations: ['25+23=48', '48/12=4']
Exploring Operation: 19-4=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
49,
56,
55,
87
] | 38 | [
"87-49=38",
"56-55=1",
"38*1=38"
] | Current State: 38:[49, 56, 55, 87], Operations: []
Exploring Operation: 87-49=38, Resulting Numbers: [56, 55, 38]
Generated Node #2: [56, 55, 38] from Operation: 87-49=38
Current State: 38:[56, 55, 38], Operations: ['87-49=38']
Exploring Operation: 56-55=1, Resulting Numbers: [38, 1]
Generated Node #3: [38, 1] from Operation: 56-55=1
Current State: 38:[38, 1], Operations: ['87-49=38', '56-55=1']
Exploring Operation: 38*1=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
81,
49,
69,
59
] | 42 | [
"81-49=32",
"69-59=10",
"32+10=42"
] | Current State: 42:[81, 49, 69, 59], Operations: []
Exploring Operation: 81-49=32, Resulting Numbers: [69, 59, 32]
Generated Node #2: [69, 59, 32] from Operation: 81-49=32
Current State: 42:[69, 59, 32], Operations: ['81-49=32']
Exploring Operation: 69-59=10, Resulting Numbers: [32, 10]
Generated Node #3: [32, 10] from Operation: 69-59=10
Current State: 42:[32, 10], Operations: ['81-49=32', '69-59=10']
Exploring Operation: 32+10=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
9,
22,
4,
20
] | 14 | [
"22-20=2",
"9*2=18",
"18-4=14"
] | Current State: 14:[9, 22, 4, 20], Operations: []
Exploring Operation: 22-20=2, Resulting Numbers: [9, 4, 2]
Generated Node #2: [9, 4, 2] from Operation: 22-20=2
Current State: 14:[9, 4, 2], Operations: ['22-20=2']
Exploring Operation: 9*2=18, Resulting Numbers: [4, 18]
Generated Node #3: [4, 18] from Operation: 9*2=18
Current State: 14:[4, 18], Operations: ['22-20=2', '9*2=18']
Exploring Operation: 18-4=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
66,
78,
84,
9
] | 68 | [
"66+78=144",
"144/9=16",
"84-16=68"
] | Current State: 68:[66, 78, 84, 9], Operations: []
Exploring Operation: 66+78=144, Resulting Numbers: [84, 9, 144]
Generated Node #2: [84, 9, 144] from Operation: 66+78=144
Current State: 68:[84, 9, 144], Operations: ['66+78=144']
Exploring Operation: 144/9=16, Resulting Numbers: [84, 16]
Generated Node #3: [84, 16] from Operation: 144/9=16
Current State: 68:[84, 16], Operations: ['66+78=144', '144/9=16']
Exploring Operation: 84-16=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
96,
55,
22,
97
] | 34 | [
"96-55=41",
"97-22=75",
"75-41=34"
] | Current State: 34:[96, 55, 22, 97], Operations: []
Exploring Operation: 96-55=41, Resulting Numbers: [22, 97, 41]
Generated Node #2: [22, 97, 41] from Operation: 96-55=41
Current State: 34:[22, 97, 41], Operations: ['96-55=41']
Exploring Operation: 97-22=75, Resulting Numbers: [41, 75]
Generated Node #3: [41, 75] from Operation: 97-22=75
Current State: 34:[41, 75], Operations: ['96-55=41', '97-22=75']
Exploring Operation: 75-41=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
10,
96,
2,
66
] | 26 | [
"10+96=106",
"2*66=132",
"132-106=26"
] | Current State: 26:[10, 96, 2, 66], Operations: []
Exploring Operation: 10+96=106, Resulting Numbers: [2, 66, 106]
Generated Node #2: [2, 66, 106] from Operation: 10+96=106
Current State: 26:[2, 66, 106], Operations: ['10+96=106']
Exploring Operation: 2*66=132, Resulting Numbers: [106, 132]
Generated Node #3: [106, 132] from Operation: 2*66=132
Current State: 26:[106, 132], Operations: ['10+96=106', '2*66=132']
Exploring Operation: 132-106=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
88,
52,
39,
90
] | 87 | [
"88-52=36",
"90-39=51",
"36+51=87"
] | Current State: 87:[88, 52, 39, 90], Operations: []
Exploring Operation: 88-52=36, Resulting Numbers: [39, 90, 36]
Generated Node #2: [39, 90, 36] from Operation: 88-52=36
Current State: 87:[39, 90, 36], Operations: ['88-52=36']
Exploring Operation: 90-39=51, Resulting Numbers: [36, 51]
Generated Node #3: [36, 51] from Operation: 90-39=51
Current State: 87:[36, 51], Operations: ['88-52=36', '90-39=51']
Exploring Operation: 36+51=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
20,
48,
72,
25
] | 96 | [
"48+72=120",
"20*120=2400",
"2400/25=96"
] | Current State: 96:[20, 48, 72, 25], Operations: []
Exploring Operation: 48+72=120, Resulting Numbers: [20, 25, 120]
Generated Node #2: [20, 25, 120] from Operation: 48+72=120
Current State: 96:[20, 25, 120], Operations: ['48+72=120']
Exploring Operation: 20*120=2400, Resulting Numbers: [25, 2400]
Generated Node #3: [25, 2400] from Operation: 20*120=2400
Current State: 96:[25, 2400], Operations: ['48+72=120', '20*120=2400']
Exploring Operation: 2400/25=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
37,
71,
93,
21
] | 37 | [
"93-71=22",
"22-21=1",
"37*1=37"
] | Current State: 37:[37, 71, 93, 21], Operations: []
Exploring Operation: 93-71=22, Resulting Numbers: [37, 21, 22]
Generated Node #2: [37, 21, 22] from Operation: 93-71=22
Current State: 37:[37, 21, 22], Operations: ['93-71=22']
Exploring Operation: 22-21=1, Resulting Numbers: [37, 1]
Generated Node #3: [37, 1] from Operation: 22-21=1
Current State: 37:[37, 1], Operations: ['93-71=22', '22-21=1']
Exploring Operation: 37*1=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
67,
5,
85,
70
] | 87 | [
"67+5=72",
"85-70=15",
"72+15=87"
] | Current State: 87:[67, 5, 85, 70], Operations: []
Exploring Operation: 67+5=72, Resulting Numbers: [85, 70, 72]
Generated Node #2: [85, 70, 72] from Operation: 67+5=72
Current State: 87:[85, 70, 72], Operations: ['67+5=72']
Exploring Operation: 85-70=15, Resulting Numbers: [72, 15]
Generated Node #3: [72, 15] from Operation: 85-70=15
Current State: 87:[72, 15], Operations: ['67+5=72', '85-70=15']
Exploring Operation: 72+15=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
7,
44,
85,
89
] | 66 | [
"44+89=133",
"133/7=19",
"85-19=66"
] | Current State: 66:[7, 44, 85, 89], Operations: []
Exploring Operation: 44+89=133, Resulting Numbers: [7, 85, 133]
Generated Node #2: [7, 85, 133] from Operation: 44+89=133
Current State: 66:[7, 85, 133], Operations: ['44+89=133']
Exploring Operation: 133/7=19, Resulting Numbers: [85, 19]
Generated Node #3: [85, 19] from Operation: 133/7=19
Current State: 66:[85, 19], Operations: ['44+89=133', '133/7=19']
Exploring Operation: 85-19=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
4,
19,
41,
46
] | 72 | [
"19-4=15",
"41+46=87",
"87-15=72"
] | Current State: 72:[4, 19, 41, 46], Operations: []
Exploring Operation: 19-4=15, Resulting Numbers: [41, 46, 15]
Generated Node #2: [41, 46, 15] from Operation: 19-4=15
Current State: 72:[41, 46, 15], Operations: ['19-4=15']
Exploring Operation: 41+46=87, Resulting Numbers: [15, 87]
Generated Node #3: [15, 87] from Operation: 41+46=87
Current State: 72:[15, 87], Operations: ['19-4=15', '41+46=87']
Exploring Operation: 87-15=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
18,
93,
87,
2
] | 26 | [
"18+93=111",
"87-2=85",
"111-85=26"
] | Current State: 26:[18, 93, 87, 2], Operations: []
Exploring Operation: 18+93=111, Resulting Numbers: [87, 2, 111]
Generated Node #2: [87, 2, 111] from Operation: 18+93=111
Current State: 26:[87, 2, 111], Operations: ['18+93=111']
Exploring Operation: 87-2=85, Resulting Numbers: [111, 85]
Generated Node #3: [111, 85] from Operation: 87-2=85
Current State: 26:[111, 85], Operations: ['18+93=111', '87-2=85']
Exploring Operation: 111-85=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
63,
73,
67,
88
] | 60 | [
"67-63=4",
"88-73=15",
"4*15=60"
] | Current State: 60:[63, 73, 67, 88], Operations: []
Exploring Operation: 67-63=4, Resulting Numbers: [73, 88, 4]
Generated Node #2: [73, 88, 4] from Operation: 67-63=4
Current State: 60:[73, 88, 4], Operations: ['67-63=4']
Exploring Operation: 88-73=15, Resulting Numbers: [4, 15]
Generated Node #3: [4, 15] from Operation: 88-73=15
Current State: 60:[4, 15], Operations: ['67-63=4', '88-73=15']
Exploring Operation: 4*15=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
36,
67,
45,
55
] | 48 | [
"67-55=12",
"36/12=3",
"45+3=48"
] | Current State: 48:[36, 67, 45, 55], Operations: []
Exploring Operation: 67-55=12, Resulting Numbers: [36, 45, 12]
Generated Node #2: [36, 45, 12] from Operation: 67-55=12
Current State: 48:[36, 45, 12], Operations: ['67-55=12']
Exploring Operation: 36/12=3, Resulting Numbers: [45, 3]
Generated Node #3: [45, 3] from Operation: 36/12=3
Current State: 48:[45, 3], Operations: ['67-55=12', '36/12=3']
Exploring Operation: 45+3=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
2,
2,
19,
92
] | 65 | [
"2*19=38",
"92+38=130",
"130/2=65"
] | Current State: 65:[2, 2, 19, 92], Operations: []
Exploring Operation: 2*19=38, Resulting Numbers: [92, 38]
Generated Node #2: [92, 38] from Operation: 2*19=38
Current State: 65:[92, 38], Operations: ['2*19=38']
Exploring Operation: 92+38=130, Resulting Numbers: [130]
130,65 equal: Goal Reached
Exploring Operation: 130/2=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
37,
31,
47,
2
] | 42 | [
"37+31=68",
"68-47=21",
"2*21=42"
] | Current State: 42:[37, 31, 47, 2], Operations: []
Exploring Operation: 37+31=68, Resulting Numbers: [47, 2, 68]
Generated Node #2: [47, 2, 68] from Operation: 37+31=68
Current State: 42:[47, 2, 68], Operations: ['37+31=68']
Exploring Operation: 68-47=21, Resulting Numbers: [2, 21]
Generated Node #3: [2, 21] from Operation: 68-47=21
Current State: 42:[2, 21], Operations: ['37+31=68', '68-47=21']
Exploring Operation: 2*21=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
82,
80,
24,
84
] | 58 | [
"82-80=2",
"84-24=60",
"60-2=58"
] | Current State: 58:[82, 80, 24, 84], Operations: []
Exploring Operation: 82-80=2, Resulting Numbers: [24, 84, 2]
Generated Node #2: [24, 84, 2] from Operation: 82-80=2
Current State: 58:[24, 84, 2], Operations: ['82-80=2']
Exploring Operation: 84-24=60, Resulting Numbers: [2, 60]
Generated Node #3: [2, 60] from Operation: 84-24=60
Current State: 58:[2, 60], Operations: ['82-80=2', '84-24=60']
Exploring Operation: 60-2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
90,
13,
39,
91
] | 52 | [
"91-90=1",
"13+39=52",
"1*52=52"
] | Current State: 52:[90, 13, 39, 91], Operations: []
Exploring Operation: 91-90=1, Resulting Numbers: [13, 39, 1]
Generated Node #2: [13, 39, 1] from Operation: 91-90=1
Current State: 52:[13, 39, 1], Operations: ['91-90=1']
Exploring Operation: 13+39=52, Resulting Numbers: [1, 52]
Generated Node #3: [1, 52] from Operation: 13+39=52
Current State: 52:[1, 52], Operations: ['91-90=1', '13+39=52']
Exploring Operation: 1*52=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
76,
24,
30,
33
] | 37 | [
"76+24=100",
"30+33=63",
"100-63=37"
] | Current State: 37:[76, 24, 30, 33], Operations: []
Exploring Operation: 76+24=100, Resulting Numbers: [30, 33, 100]
Generated Node #2: [30, 33, 100] from Operation: 76+24=100
Current State: 37:[30, 33, 100], Operations: ['76+24=100']
Exploring Operation: 30+33=63, Resulting Numbers: [100, 63]
Generated Node #3: [100, 63] from Operation: 30+33=63
Current State: 37:[100, 63], Operations: ['76+24=100', '30+33=63']
Exploring Operation: 100-63=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
2,
54,
96,
74
] | 79 | [
"74/2=37",
"96-54=42",
"37+42=79"
] | Current State: 79:[2, 54, 96, 74], Operations: []
Exploring Operation: 74/2=37, Resulting Numbers: [54, 96, 37]
Generated Node #2: [54, 96, 37] from Operation: 74/2=37
Current State: 79:[54, 96, 37], Operations: ['74/2=37']
Exploring Operation: 96-54=42, Resulting Numbers: [37, 42]
Generated Node #3: [37, 42] from Operation: 96-54=42
Current State: 79:[37, 42], Operations: ['74/2=37', '96-54=42']
Exploring Operation: 37+42=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
83,
99,
68,
28
] | 86 | [
"83+99=182",
"68+28=96",
"182-96=86"
] | Current State: 86:[83, 99, 68, 28], Operations: []
Exploring Operation: 83+99=182, Resulting Numbers: [68, 28, 182]
Generated Node #2: [68, 28, 182] from Operation: 83+99=182
Current State: 86:[68, 28, 182], Operations: ['83+99=182']
Exploring Operation: 68+28=96, Resulting Numbers: [182, 96]
Generated Node #3: [182, 96] from Operation: 68+28=96
Current State: 86:[182, 96], Operations: ['83+99=182', '68+28=96']
Exploring Operation: 182-96=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
54,
97,
27,
6
] | 76 | [
"97-54=43",
"27+6=33",
"43+33=76"
] | Current State: 76:[54, 97, 27, 6], Operations: []
Exploring Operation: 97-54=43, Resulting Numbers: [27, 6, 43]
Generated Node #2: [27, 6, 43] from Operation: 97-54=43
Current State: 76:[27, 6, 43], Operations: ['97-54=43']
Exploring Operation: 27+6=33, Resulting Numbers: [43, 33]
Generated Node #3: [43, 33] from Operation: 27+6=33
Current State: 76:[43, 33], Operations: ['97-54=43', '27+6=33']
Exploring Operation: 43+33=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
90,
3,
19,
5
] | 18 | [
"19+5=24",
"3*24=72",
"90-72=18"
] | Current State: 18:[90, 3, 19, 5], Operations: []
Exploring Operation: 19+5=24, Resulting Numbers: [90, 3, 24]
Generated Node #2: [90, 3, 24] from Operation: 19+5=24
Current State: 18:[90, 3, 24], Operations: ['19+5=24']
Exploring Operation: 3*24=72, Resulting Numbers: [90, 72]
Generated Node #3: [90, 72] from Operation: 3*24=72
Current State: 18:[90, 72], Operations: ['19+5=24', '3*24=72']
Exploring Operation: 90-72=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
62,
33,
62,
87
] | 65 | [
"62-33=29",
"87/29=3",
"62+3=65"
] | Current State: 65:[62, 33, 62, 87], Operations: []
Exploring Operation: 62-33=29, Resulting Numbers: [87, 29]
Generated Node #2: [87, 29] from Operation: 62-33=29
Current State: 65:[87, 29], Operations: ['62-33=29']
Exploring Operation: 87/29=3, Resulting Numbers: [3]
3,65 equal: Goal Reached
Exploring Operation: 62+3=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
2,
52,
51,
15
] | 90 | [
"2+52=54",
"51-15=36",
"54+36=90"
] | Current State: 90:[2, 52, 51, 15], Operations: []
Exploring Operation: 2+52=54, Resulting Numbers: [51, 15, 54]
Generated Node #2: [51, 15, 54] from Operation: 2+52=54
Current State: 90:[51, 15, 54], Operations: ['2+52=54']
Exploring Operation: 51-15=36, Resulting Numbers: [54, 36]
Generated Node #3: [54, 36] from Operation: 51-15=36
Current State: 90:[54, 36], Operations: ['2+52=54', '51-15=36']
Exploring Operation: 54+36=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
38,
48,
35,
90
] | 39 | [
"38+48=86",
"35+90=125",
"125-86=39"
] | Current State: 39:[38, 48, 35, 90], Operations: []
Exploring Operation: 38+48=86, Resulting Numbers: [35, 90, 86]
Generated Node #2: [35, 90, 86] from Operation: 38+48=86
Current State: 39:[35, 90, 86], Operations: ['38+48=86']
Exploring Operation: 35+90=125, Resulting Numbers: [86, 125]
Generated Node #3: [86, 125] from Operation: 35+90=125
Current State: 39:[86, 125], Operations: ['38+48=86', '35+90=125']
Exploring Operation: 125-86=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
72,
82,
52,
46
] | 50 | [
"82-46=36",
"72/36=2",
"52-2=50"
] | Current State: 50:[72, 82, 52, 46], Operations: []
Exploring Operation: 82-46=36, Resulting Numbers: [72, 52, 36]
Generated Node #2: [72, 52, 36] from Operation: 82-46=36
Current State: 50:[72, 52, 36], Operations: ['82-46=36']
Exploring Operation: 72/36=2, Resulting Numbers: [52, 2]
Generated Node #3: [52, 2] from Operation: 72/36=2
Current State: 50:[52, 2], Operations: ['82-46=36', '72/36=2']
Exploring Operation: 52-2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
69,
36,
21,
9
] | 75 | [
"69+36=105",
"21+9=30",
"105-30=75"
] | Current State: 75:[69, 36, 21, 9], Operations: []
Exploring Operation: 69+36=105, Resulting Numbers: [21, 9, 105]
Generated Node #2: [21, 9, 105] from Operation: 69+36=105
Current State: 75:[21, 9, 105], Operations: ['69+36=105']
Exploring Operation: 21+9=30, Resulting Numbers: [105, 30]
Generated Node #3: [105, 30] from Operation: 21+9=30
Current State: 75:[105, 30], Operations: ['69+36=105', '21+9=30']
Exploring Operation: 105-30=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
89,
2,
66,
96
] | 25 | [
"89-66=23",
"96/2=48",
"48-23=25"
] | Current State: 25:[89, 2, 66, 96], Operations: []
Exploring Operation: 89-66=23, Resulting Numbers: [2, 96, 23]
Generated Node #2: [2, 96, 23] from Operation: 89-66=23
Current State: 25:[2, 96, 23], Operations: ['89-66=23']
Exploring Operation: 96/2=48, Resulting Numbers: [23, 48]
Generated Node #3: [23, 48] from Operation: 96/2=48
Current State: 25:[23, 48], Operations: ['89-66=23', '96/2=48']
Exploring Operation: 48-23=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
40,
99,
70,
89
] | 66 | [
"99-89=10",
"40/10=4",
"70-4=66"
] | Current State: 66:[40, 99, 70, 89], Operations: []
Exploring Operation: 99-89=10, Resulting Numbers: [40, 70, 10]
Generated Node #2: [40, 70, 10] from Operation: 99-89=10
Current State: 66:[40, 70, 10], Operations: ['99-89=10']
Exploring Operation: 40/10=4, Resulting Numbers: [70, 4]
Generated Node #3: [70, 4] from Operation: 40/10=4
Current State: 66:[70, 4], Operations: ['99-89=10', '40/10=4']
Exploring Operation: 70-4=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
60,
84,
79,
19
] | 31 | [
"84-79=5",
"60/5=12",
"19+12=31"
] | Current State: 31:[60, 84, 79, 19], Operations: []
Exploring Operation: 84-79=5, Resulting Numbers: [60, 19, 5]
Generated Node #2: [60, 19, 5] from Operation: 84-79=5
Current State: 31:[60, 19, 5], Operations: ['84-79=5']
Exploring Operation: 60/5=12, Resulting Numbers: [19, 12]
Generated Node #3: [19, 12] from Operation: 60/5=12
Current State: 31:[19, 12], Operations: ['84-79=5', '60/5=12']
Exploring Operation: 19+12=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
54,
7,
65,
45
] | 41 | [
"54+7=61",
"65-45=20",
"61-20=41"
] | Current State: 41:[54, 7, 65, 45], Operations: []
Exploring Operation: 54+7=61, Resulting Numbers: [65, 45, 61]
Generated Node #2: [65, 45, 61] from Operation: 54+7=61
Current State: 41:[65, 45, 61], Operations: ['54+7=61']
Exploring Operation: 65-45=20, Resulting Numbers: [61, 20]
Generated Node #3: [61, 20] from Operation: 65-45=20
Current State: 41:[61, 20], Operations: ['54+7=61', '65-45=20']
Exploring Operation: 61-20=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
71,
73,
64,
54
] | 20 | [
"73-71=2",
"64-54=10",
"2*10=20"
] | Current State: 20:[71, 73, 64, 54], Operations: []
Exploring Operation: 73-71=2, Resulting Numbers: [64, 54, 2]
Generated Node #2: [64, 54, 2] from Operation: 73-71=2
Current State: 20:[64, 54, 2], Operations: ['73-71=2']
Exploring Operation: 64-54=10, Resulting Numbers: [2, 10]
Generated Node #3: [2, 10] from Operation: 64-54=10
Current State: 20:[2, 10], Operations: ['73-71=2', '64-54=10']
Exploring Operation: 2*10=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
93,
34,
87,
68
] | 28 | [
"93+34=127",
"87+68=155",
"155-127=28"
] | Current State: 28:[93, 34, 87, 68], Operations: []
Exploring Operation: 93+34=127, Resulting Numbers: [87, 68, 127]
Generated Node #2: [87, 68, 127] from Operation: 93+34=127
Current State: 28:[87, 68, 127], Operations: ['93+34=127']
Exploring Operation: 87+68=155, Resulting Numbers: [127, 155]
Generated Node #3: [127, 155] from Operation: 87+68=155
Current State: 28:[127, 155], Operations: ['93+34=127', '87+68=155']
Exploring Operation: 155-127=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
48,
52,
51,
77
] | 43 | [
"51-48=3",
"52+77=129",
"129/3=43"
] | Current State: 43:[48, 52, 51, 77], Operations: []
Exploring Operation: 51-48=3, Resulting Numbers: [52, 77, 3]
Generated Node #2: [52, 77, 3] from Operation: 51-48=3
Current State: 43:[52, 77, 3], Operations: ['51-48=3']
Exploring Operation: 52+77=129, Resulting Numbers: [3, 129]
Generated Node #3: [3, 129] from Operation: 52+77=129
Current State: 43:[3, 129], Operations: ['51-48=3', '52+77=129']
Exploring Operation: 129/3=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
81,
66,
94,
79
] | 38 | [
"81-79=2",
"66*2=132",
"132-94=38"
] | Current State: 38:[81, 66, 94, 79], Operations: []
Exploring Operation: 81-79=2, Resulting Numbers: [66, 94, 2]
Generated Node #2: [66, 94, 2] from Operation: 81-79=2
Current State: 38:[66, 94, 2], Operations: ['81-79=2']
Exploring Operation: 66*2=132, Resulting Numbers: [94, 132]
Generated Node #3: [94, 132] from Operation: 66*2=132
Current State: 38:[94, 132], Operations: ['81-79=2', '66*2=132']
Exploring Operation: 132-94=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
22,
62,
33,
13
] | 20 | [
"62-22=40",
"33-13=20",
"40-20=20"
] | Current State: 20:[22, 62, 33, 13], Operations: []
Exploring Operation: 62-22=40, Resulting Numbers: [33, 13, 40]
Generated Node #2: [33, 13, 40] from Operation: 62-22=40
Current State: 20:[33, 13, 40], Operations: ['62-22=40']
Exploring Operation: 33-13=20, Resulting Numbers: [40, 20]
Generated Node #3: [40, 20] from Operation: 33-13=20
Current State: 20:[40, 20], Operations: ['62-22=40', '33-13=20']
Exploring Operation: 40-20=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
91,
46,
94,
28
] | 86 | [
"46+94=140",
"140/28=5",
"91-5=86"
] | Current State: 86:[91, 46, 94, 28], Operations: []
Exploring Operation: 46+94=140, Resulting Numbers: [91, 28, 140]
Generated Node #2: [91, 28, 140] from Operation: 46+94=140
Current State: 86:[91, 28, 140], Operations: ['46+94=140']
Exploring Operation: 140/28=5, Resulting Numbers: [91, 5]
Generated Node #3: [91, 5] from Operation: 140/28=5
Current State: 86:[91, 5], Operations: ['46+94=140', '140/28=5']
Exploring Operation: 91-5=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
8,
40,
5,
45
] | 64 | [
"8*45=360",
"360-40=320",
"320/5=64"
] | Current State: 64:[8, 40, 5, 45], Operations: []
Exploring Operation: 8*45=360, Resulting Numbers: [40, 5, 360]
Generated Node #2: [40, 5, 360] from Operation: 8*45=360
Current State: 64:[40, 5, 360], Operations: ['8*45=360']
Exploring Operation: 360-40=320, Resulting Numbers: [5, 320]
Generated Node #3: [5, 320] from Operation: 360-40=320
Current State: 64:[5, 320], Operations: ['8*45=360', '360-40=320']
Exploring Operation: 320/5=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
93,
92,
10,
64
] | 54 | [
"93-92=1",
"64-10=54",
"1*54=54"
] | Current State: 54:[93, 92, 10, 64], Operations: []
Exploring Operation: 93-92=1, Resulting Numbers: [10, 64, 1]
Generated Node #2: [10, 64, 1] from Operation: 93-92=1
Current State: 54:[10, 64, 1], Operations: ['93-92=1']
Exploring Operation: 64-10=54, Resulting Numbers: [1, 54]
Generated Node #3: [1, 54] from Operation: 64-10=54
Current State: 54:[1, 54], Operations: ['93-92=1', '64-10=54']
Exploring Operation: 1*54=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
57,
85,
87,
8
] | 67 | [
"85-57=28",
"87+8=95",
"95-28=67"
] | Current State: 67:[57, 85, 87, 8], Operations: []
Exploring Operation: 85-57=28, Resulting Numbers: [87, 8, 28]
Generated Node #2: [87, 8, 28] from Operation: 85-57=28
Current State: 67:[87, 8, 28], Operations: ['85-57=28']
Exploring Operation: 87+8=95, Resulting Numbers: [28, 95]
Generated Node #3: [28, 95] from Operation: 87+8=95
Current State: 67:[28, 95], Operations: ['85-57=28', '87+8=95']
Exploring Operation: 95-28=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
23,
7,
33,
28
] | 45 | [
"23-7=16",
"33+28=61",
"61-16=45"
] | Current State: 45:[23, 7, 33, 28], Operations: []
Exploring Operation: 23-7=16, Resulting Numbers: [33, 28, 16]
Generated Node #2: [33, 28, 16] from Operation: 23-7=16
Current State: 45:[33, 28, 16], Operations: ['23-7=16']
Exploring Operation: 33+28=61, Resulting Numbers: [16, 61]
Generated Node #3: [16, 61] from Operation: 33+28=61
Current State: 45:[16, 61], Operations: ['23-7=16', '33+28=61']
Exploring Operation: 61-16=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
76,
50,
25,
48
] | 10 | [
"76*25=1900",
"1900/50=38",
"48-38=10"
] | Current State: 10:[76, 50, 25, 48], Operations: []
Exploring Operation: 76*25=1900, Resulting Numbers: [50, 48, 1900]
Generated Node #2: [50, 48, 1900] from Operation: 76*25=1900
Current State: 10:[50, 48, 1900], Operations: ['76*25=1900']
Exploring Operation: 1900/50=38, Resulting Numbers: [48, 38]
Generated Node #3: [48, 38] from Operation: 1900/50=38
Current State: 10:[48, 38], Operations: ['76*25=1900', '1900/50=38']
Exploring Operation: 48-38=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
85,
66,
93,
20
] | 94 | [
"85-66=19",
"93+20=113",
"113-19=94"
] | Current State: 94:[85, 66, 93, 20], Operations: []
Exploring Operation: 85-66=19, Resulting Numbers: [93, 20, 19]
Generated Node #2: [93, 20, 19] from Operation: 85-66=19
Current State: 94:[93, 20, 19], Operations: ['85-66=19']
Exploring Operation: 93+20=113, Resulting Numbers: [19, 113]
Generated Node #3: [19, 113] from Operation: 93+20=113
Current State: 94:[19, 113], Operations: ['85-66=19', '93+20=113']
Exploring Operation: 113-19=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
44,
68,
87,
72
] | 84 | [
"68-44=24",
"72/24=3",
"87-3=84"
] | Current State: 84:[44, 68, 87, 72], Operations: []
Exploring Operation: 68-44=24, Resulting Numbers: [87, 72, 24]
Generated Node #2: [87, 72, 24] from Operation: 68-44=24
Current State: 84:[87, 72, 24], Operations: ['68-44=24']
Exploring Operation: 72/24=3, Resulting Numbers: [87, 3]
Generated Node #3: [87, 3] from Operation: 72/24=3
Current State: 84:[87, 3], Operations: ['68-44=24', '72/24=3']
Exploring Operation: 87-3=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
14,
27,
20,
22
] | 39 | [
"14+27=41",
"22-20=2",
"41-2=39"
] | Current State: 39:[14, 27, 20, 22], Operations: []
Exploring Operation: 14+27=41, Resulting Numbers: [20, 22, 41]
Generated Node #2: [20, 22, 41] from Operation: 14+27=41
Current State: 39:[20, 22, 41], Operations: ['14+27=41']
Exploring Operation: 22-20=2, Resulting Numbers: [41, 2]
Generated Node #3: [41, 2] from Operation: 22-20=2
Current State: 39:[41, 2], Operations: ['14+27=41', '22-20=2']
Exploring Operation: 41-2=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
84,
24,
12,
94
] | 74 | [
"84*24=2016",
"2016/12=168",
"168-94=74"
] | Current State: 74:[84, 24, 12, 94], Operations: []
Exploring Operation: 84*24=2016, Resulting Numbers: [12, 94, 2016]
Generated Node #2: [12, 94, 2016] from Operation: 84*24=2016
Current State: 74:[12, 94, 2016], Operations: ['84*24=2016']
Exploring Operation: 2016/12=168, Resulting Numbers: [94, 168]
Generated Node #3: [94, 168] from Operation: 2016/12=168
Current State: 74:[94, 168], Operations: ['84*24=2016', '2016/12=168']
Exploring Operation: 168-94=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
17,
46,
59,
73
] | 77 | [
"17+46=63",
"73-59=14",
"63+14=77"
] | Current State: 77:[17, 46, 59, 73], Operations: []
Exploring Operation: 17+46=63, Resulting Numbers: [59, 73, 63]
Generated Node #2: [59, 73, 63] from Operation: 17+46=63
Current State: 77:[59, 73, 63], Operations: ['17+46=63']
Exploring Operation: 73-59=14, Resulting Numbers: [63, 14]
Generated Node #3: [63, 14] from Operation: 73-59=14
Current State: 77:[63, 14], Operations: ['17+46=63', '73-59=14']
Exploring Operation: 63+14=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
27,
99,
68,
95
] | 99 | [
"27+99=126",
"95-68=27",
"126-27=99"
] | Current State: 99:[27, 99, 68, 95], Operations: []
Exploring Operation: 27+99=126, Resulting Numbers: [68, 95, 126]
Generated Node #2: [68, 95, 126] from Operation: 27+99=126
Current State: 99:[68, 95, 126], Operations: ['27+99=126']
Exploring Operation: 95-68=27, Resulting Numbers: [126, 27]
Generated Node #3: [126, 27] from Operation: 95-68=27
Current State: 99:[126, 27], Operations: ['27+99=126', '95-68=27']
Exploring Operation: 126-27=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
91,
8,
83,
62
] | 61 | [
"91-8=83",
"83/83=1",
"62-1=61"
] | Current State: 61:[91, 8, 83, 62], Operations: []
Exploring Operation: 91-8=83, Resulting Numbers: [83, 62, 83]
Generated Node #2: [83, 62, 83] from Operation: 91-8=83
Current State: 61:[83, 62, 83], Operations: ['91-8=83']
Exploring Operation: 83/83=1, Resulting Numbers: [62, 1]
Generated Node #3: [62, 1] from Operation: 83/83=1
Current State: 61:[62, 1], Operations: ['91-8=83', '83/83=1']
Exploring Operation: 62-1=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
51,
22,
66,
90
] | 81 | [
"66/22=3",
"90/3=30",
"51+30=81"
] | Current State: 81:[51, 22, 66, 90], Operations: []
Exploring Operation: 66/22=3, Resulting Numbers: [51, 90, 3]
Generated Node #2: [51, 90, 3] from Operation: 66/22=3
Current State: 81:[51, 90, 3], Operations: ['66/22=3']
Exploring Operation: 90/3=30, Resulting Numbers: [51, 30]
Generated Node #3: [51, 30] from Operation: 90/3=30
Current State: 81:[51, 30], Operations: ['66/22=3', '90/3=30']
Exploring Operation: 51+30=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
7,
12,
3,
61
] | 69 | [
"7*12=84",
"84-61=23",
"3*23=69"
] | Current State: 69:[7, 12, 3, 61], Operations: []
Exploring Operation: 7*12=84, Resulting Numbers: [3, 61, 84]
Generated Node #2: [3, 61, 84] from Operation: 7*12=84
Current State: 69:[3, 61, 84], Operations: ['7*12=84']
Exploring Operation: 84-61=23, Resulting Numbers: [3, 23]
Generated Node #3: [3, 23] from Operation: 84-61=23
Current State: 69:[3, 23], Operations: ['7*12=84', '84-61=23']
Exploring Operation: 3*23=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
5,
75,
64,
53
] | 91 | [
"5+75=80",
"64-53=11",
"80+11=91"
] | Current State: 91:[5, 75, 64, 53], Operations: []
Exploring Operation: 5+75=80, Resulting Numbers: [64, 53, 80]
Generated Node #2: [64, 53, 80] from Operation: 5+75=80
Current State: 91:[64, 53, 80], Operations: ['5+75=80']
Exploring Operation: 64-53=11, Resulting Numbers: [80, 11]
Generated Node #3: [80, 11] from Operation: 64-53=11
Current State: 91:[80, 11], Operations: ['5+75=80', '64-53=11']
Exploring Operation: 80+11=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
24,
80,
52,
8
] | 38 | [
"52-24=28",
"80/8=10",
"28+10=38"
] | Current State: 38:[24, 80, 52, 8], Operations: []
Exploring Operation: 52-24=28, Resulting Numbers: [80, 8, 28]
Generated Node #2: [80, 8, 28] from Operation: 52-24=28
Current State: 38:[80, 8, 28], Operations: ['52-24=28']
Exploring Operation: 80/8=10, Resulting Numbers: [28, 10]
Generated Node #3: [28, 10] from Operation: 80/8=10
Current State: 38:[28, 10], Operations: ['52-24=28', '80/8=10']
Exploring Operation: 28+10=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
51,
59,
3,
53
] | 64 | [
"59-51=8",
"3+53=56",
"8+56=64"
] | Current State: 64:[51, 59, 3, 53], Operations: []
Exploring Operation: 59-51=8, Resulting Numbers: [3, 53, 8]
Generated Node #2: [3, 53, 8] from Operation: 59-51=8
Current State: 64:[3, 53, 8], Operations: ['59-51=8']
Exploring Operation: 3+53=56, Resulting Numbers: [8, 56]
Generated Node #3: [8, 56] from Operation: 3+53=56
Current State: 64:[8, 56], Operations: ['59-51=8', '3+53=56']
Exploring Operation: 8+56=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
67,
13,
89,
66
] | 57 | [
"67+13=80",
"89-66=23",
"80-23=57"
] | Current State: 57:[67, 13, 89, 66], Operations: []
Exploring Operation: 67+13=80, Resulting Numbers: [89, 66, 80]
Generated Node #2: [89, 66, 80] from Operation: 67+13=80
Current State: 57:[89, 66, 80], Operations: ['67+13=80']
Exploring Operation: 89-66=23, Resulting Numbers: [80, 23]
Generated Node #3: [80, 23] from Operation: 89-66=23
Current State: 57:[80, 23], Operations: ['67+13=80', '89-66=23']
Exploring Operation: 80-23=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
35,
25,
58,
91
] | 37 | [
"25+91=116",
"116/58=2",
"35+2=37"
] | Current State: 37:[35, 25, 58, 91], Operations: []
Exploring Operation: 25+91=116, Resulting Numbers: [35, 58, 116]
Generated Node #2: [35, 58, 116] from Operation: 25+91=116
Current State: 37:[35, 58, 116], Operations: ['25+91=116']
Exploring Operation: 116/58=2, Resulting Numbers: [35, 2]
Generated Node #3: [35, 2] from Operation: 116/58=2
Current State: 37:[35, 2], Operations: ['25+91=116', '116/58=2']
Exploring Operation: 35+2=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
59,
73,
35,
37
] | 16 | [
"73-59=14",
"37-35=2",
"14+2=16"
] | Current State: 16:[59, 73, 35, 37], Operations: []
Exploring Operation: 73-59=14, Resulting Numbers: [35, 37, 14]
Generated Node #2: [35, 37, 14] from Operation: 73-59=14
Current State: 16:[35, 37, 14], Operations: ['73-59=14']
Exploring Operation: 37-35=2, Resulting Numbers: [14, 2]
Generated Node #3: [14, 2] from Operation: 37-35=2
Current State: 16:[14, 2], Operations: ['73-59=14', '37-35=2']
Exploring Operation: 14+2=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
15,
63,
57,
78
] | 58 | [
"15+63=78",
"78/78=1",
"57+1=58"
] | Current State: 58:[15, 63, 57, 78], Operations: []
Exploring Operation: 15+63=78, Resulting Numbers: [57, 78, 78]
Generated Node #2: [57, 78, 78] from Operation: 15+63=78
Current State: 58:[57, 78, 78], Operations: ['15+63=78']
Exploring Operation: 78/78=1, Resulting Numbers: [57, 1]
Generated Node #3: [57, 1] from Operation: 78/78=1
Current State: 58:[57, 1], Operations: ['15+63=78', '78/78=1']
Exploring Operation: 57+1=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
73,
48,
45,
27
] | 15 | [
"73-48=25",
"27*25=675",
"675/45=15"
] | Current State: 15:[73, 48, 45, 27], Operations: []
Exploring Operation: 73-48=25, Resulting Numbers: [45, 27, 25]
Generated Node #2: [45, 27, 25] from Operation: 73-48=25
Current State: 15:[45, 27, 25], Operations: ['73-48=25']
Exploring Operation: 27*25=675, Resulting Numbers: [45, 675]
Generated Node #3: [45, 675] from Operation: 27*25=675
Current State: 15:[45, 675], Operations: ['73-48=25', '27*25=675']
Exploring Operation: 675/45=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
63,
72,
81,
36
] | 75 | [
"63-36=27",
"81/27=3",
"72+3=75"
] | Current State: 75:[63, 72, 81, 36], Operations: []
Exploring Operation: 63-36=27, Resulting Numbers: [72, 81, 27]
Generated Node #2: [72, 81, 27] from Operation: 63-36=27
Current State: 75:[72, 81, 27], Operations: ['63-36=27']
Exploring Operation: 81/27=3, Resulting Numbers: [72, 3]
Generated Node #3: [72, 3] from Operation: 81/27=3
Current State: 75:[72, 3], Operations: ['63-36=27', '81/27=3']
Exploring Operation: 72+3=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
3,
53,
39,
35
] | 85 | [
"3*53=159",
"39+35=74",
"159-74=85"
] | Current State: 85:[3, 53, 39, 35], Operations: []
Exploring Operation: 3*53=159, Resulting Numbers: [39, 35, 159]
Generated Node #2: [39, 35, 159] from Operation: 3*53=159
Current State: 85:[39, 35, 159], Operations: ['3*53=159']
Exploring Operation: 39+35=74, Resulting Numbers: [159, 74]
Generated Node #3: [159, 74] from Operation: 39+35=74
Current State: 85:[159, 74], Operations: ['3*53=159', '39+35=74']
Exploring Operation: 159-74=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
16,
64,
45,
61
] | 31 | [
"64-61=3",
"45/3=15",
"16+15=31"
] | Current State: 31:[16, 64, 45, 61], Operations: []
Exploring Operation: 64-61=3, Resulting Numbers: [16, 45, 3]
Generated Node #2: [16, 45, 3] from Operation: 64-61=3
Current State: 31:[16, 45, 3], Operations: ['64-61=3']
Exploring Operation: 45/3=15, Resulting Numbers: [16, 15]
Generated Node #3: [16, 15] from Operation: 45/3=15
Current State: 31:[16, 15], Operations: ['64-61=3', '45/3=15']
Exploring Operation: 16+15=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
10,
17,
91,
25
] | 73 | [
"17-10=7",
"91-25=66",
"7+66=73"
] | Current State: 73:[10, 17, 91, 25], Operations: []
Exploring Operation: 17-10=7, Resulting Numbers: [91, 25, 7]
Generated Node #2: [91, 25, 7] from Operation: 17-10=7
Current State: 73:[91, 25, 7], Operations: ['17-10=7']
Exploring Operation: 91-25=66, Resulting Numbers: [7, 66]
Generated Node #3: [7, 66] from Operation: 91-25=66
Current State: 73:[7, 66], Operations: ['17-10=7', '91-25=66']
Exploring Operation: 7+66=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
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