nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
52,
40,
63,
36
] | 81 | [
"52*63=3276",
"3276-36=3240",
"3240/40=81"
] | Current State: 81:[52, 40, 63, 36], Operations: []
Exploring Operation: 52*63=3276, Resulting Numbers: [40, 36, 3276]
Generated Node #2: [40, 36, 3276] from Operation: 52*63=3276
Current State: 81:[40, 36, 3276], Operations: ['52*63=3276']
Exploring Operation: 3276-36=3240, Resulting Numbers: [40, 3240]
Generated Node #3: [40, 3240] from Operation: 3276-36=3240
Current State: 81:[40, 3240], Operations: ['52*63=3276', '3276-36=3240']
Exploring Operation: 3240/40=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
81,
91,
64,
31
] | 77 | [
"81+91=172",
"64+31=95",
"172-95=77"
] | Current State: 77:[81, 91, 64, 31], Operations: []
Exploring Operation: 81+91=172, Resulting Numbers: [64, 31, 172]
Generated Node #2: [64, 31, 172] from Operation: 81+91=172
Current State: 77:[64, 31, 172], Operations: ['81+91=172']
Exploring Operation: 64+31=95, Resulting Numbers: [172, 95]
Generated Node #3: [172, 95] from Operation: 64+31=95
Current State: 77:[172, 95], Operations: ['81+91=172', '64+31=95']
Exploring Operation: 172-95=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
78,
79,
8,
87
] | 77 | [
"79+8=87",
"87/87=1",
"78-1=77"
] | Current State: 77:[78, 79, 8, 87], Operations: []
Exploring Operation: 79+8=87, Resulting Numbers: [78, 87, 87]
Generated Node #2: [78, 87, 87] from Operation: 79+8=87
Current State: 77:[78, 87, 87], Operations: ['79+8=87']
Exploring Operation: 87/87=1, Resulting Numbers: [78, 1]
Generated Node #3: [78, 1] from Operation: 87/87=1
Current State: 77:[78, 1], Operations: ['79+8=87', '87/87=1']
Exploring Operation: 78-1=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
73,
6,
70,
93
] | 84 | [
"73+6=79",
"70+93=163",
"163-79=84"
] | Current State: 84:[73, 6, 70, 93], Operations: []
Exploring Operation: 73+6=79, Resulting Numbers: [70, 93, 79]
Generated Node #2: [70, 93, 79] from Operation: 73+6=79
Current State: 84:[70, 93, 79], Operations: ['73+6=79']
Exploring Operation: 70+93=163, Resulting Numbers: [79, 163]
Generated Node #3: [79, 163] from Operation: 70+93=163
Current State: 84:[79, 163], Operations: ['73+6=79', '70+93=163']
Exploring Operation: 163-79=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
12,
21,
55,
31
] | 15 | [
"21-12=9",
"55-31=24",
"24-9=15"
] | Current State: 15:[12, 21, 55, 31], Operations: []
Exploring Operation: 21-12=9, Resulting Numbers: [55, 31, 9]
Generated Node #2: [55, 31, 9] from Operation: 21-12=9
Current State: 15:[55, 31, 9], Operations: ['21-12=9']
Exploring Operation: 55-31=24, Resulting Numbers: [9, 24]
Generated Node #3: [9, 24] from Operation: 55-31=24
Current State: 15:[9, 24], Operations: ['21-12=9', '55-31=24']
Exploring Operation: 24-9=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
1,
41,
29,
37
] | 32 | [
"41-1=40",
"37-29=8",
"40-8=32"
] | Current State: 32:[1, 41, 29, 37], Operations: []
Exploring Operation: 41-1=40, Resulting Numbers: [29, 37, 40]
Generated Node #2: [29, 37, 40] from Operation: 41-1=40
Current State: 32:[29, 37, 40], Operations: ['41-1=40']
Exploring Operation: 37-29=8, Resulting Numbers: [40, 8]
Generated Node #3: [40, 8] from Operation: 37-29=8
Current State: 32:[40, 8], Operations: ['41-1=40', '37-29=8']
Exploring Operation: 40-8=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
38,
58,
36,
76
] | 11 | [
"76/38=2",
"58-36=22",
"22/2=11"
] | Current State: 11:[38, 58, 36, 76], Operations: []
Exploring Operation: 76/38=2, Resulting Numbers: [58, 36, 2]
Generated Node #2: [58, 36, 2] from Operation: 76/38=2
Current State: 11:[58, 36, 2], Operations: ['76/38=2']
Exploring Operation: 58-36=22, Resulting Numbers: [2, 22]
Generated Node #3: [2, 22] from Operation: 58-36=22
Current State: 11:[2, 22], Operations: ['76/38=2', '58-36=22']
Exploring Operation: 22/2=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
94,
11,
35,
11
] | 62 | [
"94-35=59",
"11*11=121",
"121-59=62"
] | Current State: 62:[94, 11, 35, 11], Operations: []
Exploring Operation: 94-35=59, Resulting Numbers: [11, 11, 59]
Generated Node #2: [11, 11, 59] from Operation: 94-35=59
Current State: 62:[11, 11, 59], Operations: ['94-35=59']
Exploring Operation: 11*11=121, Resulting Numbers: [59, 121]
Generated Node #3: [59, 121] from Operation: 11*11=121
Current State: 62:[59, 121], Operations: ['94-35=59', '11*11=121']
Exploring Operation: 121-59=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
8,
20,
30,
10
] | 65 | [
"20*30=600",
"600/8=75",
"75-10=65"
] | Current State: 65:[8, 20, 30, 10], Operations: []
Exploring Operation: 20*30=600, Resulting Numbers: [8, 10, 600]
Generated Node #2: [8, 10, 600] from Operation: 20*30=600
Current State: 65:[8, 10, 600], Operations: ['20*30=600']
Exploring Operation: 600/8=75, Resulting Numbers: [10, 75]
Generated Node #3: [10, 75] from Operation: 600/8=75
Current State: 65:[10, 75], Operations: ['20*30=600', '600/8=75']
Exploring Operation: 75-10=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
38,
33,
90,
48
] | 47 | [
"38-33=5",
"90-48=42",
"5+42=47"
] | Current State: 47:[38, 33, 90, 48], Operations: []
Exploring Operation: 38-33=5, Resulting Numbers: [90, 48, 5]
Generated Node #2: [90, 48, 5] from Operation: 38-33=5
Current State: 47:[90, 48, 5], Operations: ['38-33=5']
Exploring Operation: 90-48=42, Resulting Numbers: [5, 42]
Generated Node #3: [5, 42] from Operation: 90-48=42
Current State: 47:[5, 42], Operations: ['38-33=5', '90-48=42']
Exploring Operation: 5+42=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
1,
65,
68,
22
] | 25 | [
"1*65=65",
"68+22=90",
"90-65=25"
] | Current State: 25:[1, 65, 68, 22], Operations: []
Exploring Operation: 1*65=65, Resulting Numbers: [68, 22, 65]
Generated Node #2: [68, 22, 65] from Operation: 1*65=65
Current State: 25:[68, 22, 65], Operations: ['1*65=65']
Exploring Operation: 68+22=90, Resulting Numbers: [65, 90]
Generated Node #3: [65, 90] from Operation: 68+22=90
Current State: 25:[65, 90], Operations: ['1*65=65', '68+22=90']
Exploring Operation: 90-65=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
33,
5,
36,
42
] | 50 | [
"33-5=28",
"36+42=78",
"78-28=50"
] | Current State: 50:[33, 5, 36, 42], Operations: []
Exploring Operation: 33-5=28, Resulting Numbers: [36, 42, 28]
Generated Node #2: [36, 42, 28] from Operation: 33-5=28
Current State: 50:[36, 42, 28], Operations: ['33-5=28']
Exploring Operation: 36+42=78, Resulting Numbers: [28, 78]
Generated Node #3: [28, 78] from Operation: 36+42=78
Current State: 50:[28, 78], Operations: ['33-5=28', '36+42=78']
Exploring Operation: 78-28=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
60,
42,
23,
17
] | 17 | [
"60+42=102",
"23-17=6",
"102/6=17"
] | Current State: 17:[60, 42, 23, 17], Operations: []
Exploring Operation: 60+42=102, Resulting Numbers: [23, 17, 102]
Generated Node #2: [23, 17, 102] from Operation: 60+42=102
Current State: 17:[23, 17, 102], Operations: ['60+42=102']
Exploring Operation: 23-17=6, Resulting Numbers: [102, 6]
Generated Node #3: [102, 6] from Operation: 23-17=6
Current State: 17:[102, 6], Operations: ['60+42=102', '23-17=6']
Exploring Operation: 102/6=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
90,
83,
35,
57
] | 86 | [
"83+57=140",
"140/35=4",
"90-4=86"
] | Current State: 86:[90, 83, 35, 57], Operations: []
Exploring Operation: 83+57=140, Resulting Numbers: [90, 35, 140]
Generated Node #2: [90, 35, 140] from Operation: 83+57=140
Current State: 86:[90, 35, 140], Operations: ['83+57=140']
Exploring Operation: 140/35=4, Resulting Numbers: [90, 4]
Generated Node #3: [90, 4] from Operation: 140/35=4
Current State: 86:[90, 4], Operations: ['83+57=140', '140/35=4']
Exploring Operation: 90-4=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
66,
67,
70,
45
] | 25 | [
"67-66=1",
"70-45=25",
"1*25=25"
] | Current State: 25:[66, 67, 70, 45], Operations: []
Exploring Operation: 67-66=1, Resulting Numbers: [70, 45, 1]
Generated Node #2: [70, 45, 1] from Operation: 67-66=1
Current State: 25:[70, 45, 1], Operations: ['67-66=1']
Exploring Operation: 70-45=25, Resulting Numbers: [1, 25]
Generated Node #3: [1, 25] from Operation: 70-45=25
Current State: 25:[1, 25], Operations: ['67-66=1', '70-45=25']
Exploring Operation: 1*25=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
36,
48,
96,
5
] | 79 | [
"48-36=12",
"96-5=91",
"91-12=79"
] | Current State: 79:[36, 48, 96, 5], Operations: []
Exploring Operation: 48-36=12, Resulting Numbers: [96, 5, 12]
Generated Node #2: [96, 5, 12] from Operation: 48-36=12
Current State: 79:[96, 5, 12], Operations: ['48-36=12']
Exploring Operation: 96-5=91, Resulting Numbers: [12, 91]
Generated Node #3: [12, 91] from Operation: 96-5=91
Current State: 79:[12, 91], Operations: ['48-36=12', '96-5=91']
Exploring Operation: 91-12=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
94,
22,
15,
5
] | 28 | [
"22*15=330",
"330/5=66",
"94-66=28"
] | Current State: 28:[94, 22, 15, 5], Operations: []
Exploring Operation: 22*15=330, Resulting Numbers: [94, 5, 330]
Generated Node #2: [94, 5, 330] from Operation: 22*15=330
Current State: 28:[94, 5, 330], Operations: ['22*15=330']
Exploring Operation: 330/5=66, Resulting Numbers: [94, 66]
Generated Node #3: [94, 66] from Operation: 330/5=66
Current State: 28:[94, 66], Operations: ['22*15=330', '330/5=66']
Exploring Operation: 94-66=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
95,
45,
96,
47
] | 47 | [
"95-47=48",
"96/48=2",
"45+2=47"
] | Current State: 47:[95, 45, 96, 47], Operations: []
Exploring Operation: 95-47=48, Resulting Numbers: [45, 96, 48]
Generated Node #2: [45, 96, 48] from Operation: 95-47=48
Current State: 47:[45, 96, 48], Operations: ['95-47=48']
Exploring Operation: 96/48=2, Resulting Numbers: [45, 2]
Generated Node #3: [45, 2] from Operation: 96/48=2
Current State: 47:[45, 2], Operations: ['95-47=48', '96/48=2']
Exploring Operation: 45+2=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
78,
10,
9,
22
] | 75 | [
"78+10=88",
"22-9=13",
"88-13=75"
] | Current State: 75:[78, 10, 9, 22], Operations: []
Exploring Operation: 78+10=88, Resulting Numbers: [9, 22, 88]
Generated Node #2: [9, 22, 88] from Operation: 78+10=88
Current State: 75:[9, 22, 88], Operations: ['78+10=88']
Exploring Operation: 22-9=13, Resulting Numbers: [88, 13]
Generated Node #3: [88, 13] from Operation: 22-9=13
Current State: 75:[88, 13], Operations: ['78+10=88', '22-9=13']
Exploring Operation: 88-13=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
63,
37,
84,
15
] | 73 | [
"63-37=26",
"84+15=99",
"99-26=73"
] | Current State: 73:[63, 37, 84, 15], Operations: []
Exploring Operation: 63-37=26, Resulting Numbers: [84, 15, 26]
Generated Node #2: [84, 15, 26] from Operation: 63-37=26
Current State: 73:[84, 15, 26], Operations: ['63-37=26']
Exploring Operation: 84+15=99, Resulting Numbers: [26, 99]
Generated Node #3: [26, 99] from Operation: 84+15=99
Current State: 73:[26, 99], Operations: ['63-37=26', '84+15=99']
Exploring Operation: 99-26=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
48,
1,
25,
22
] | 16 | [
"48*1=48",
"25-22=3",
"48/3=16"
] | Current State: 16:[48, 1, 25, 22], Operations: []
Exploring Operation: 48*1=48, Resulting Numbers: [25, 22, 48]
Generated Node #2: [25, 22, 48] from Operation: 48*1=48
Current State: 16:[25, 22, 48], Operations: ['48*1=48']
Exploring Operation: 25-22=3, Resulting Numbers: [48, 3]
Generated Node #3: [48, 3] from Operation: 25-22=3
Current State: 16:[48, 3], Operations: ['48*1=48', '25-22=3']
Exploring Operation: 48/3=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
3,
72,
17,
12
] | 81 | [
"12-3=9",
"17*9=153",
"153-72=81"
] | Current State: 81:[3, 72, 17, 12], Operations: []
Exploring Operation: 12-3=9, Resulting Numbers: [72, 17, 9]
Generated Node #2: [72, 17, 9] from Operation: 12-3=9
Current State: 81:[72, 17, 9], Operations: ['12-3=9']
Exploring Operation: 17*9=153, Resulting Numbers: [72, 153]
Generated Node #3: [72, 153] from Operation: 17*9=153
Current State: 81:[72, 153], Operations: ['12-3=9', '17*9=153']
Exploring Operation: 153-72=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
52,
25,
45,
10
] | 59 | [
"25+45=70",
"70/10=7",
"52+7=59"
] | Current State: 59:[52, 25, 45, 10], Operations: []
Exploring Operation: 25+45=70, Resulting Numbers: [52, 10, 70]
Generated Node #2: [52, 10, 70] from Operation: 25+45=70
Current State: 59:[52, 10, 70], Operations: ['25+45=70']
Exploring Operation: 70/10=7, Resulting Numbers: [52, 7]
Generated Node #3: [52, 7] from Operation: 70/10=7
Current State: 59:[52, 7], Operations: ['25+45=70', '70/10=7']
Exploring Operation: 52+7=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
36,
63,
23,
39
] | 44 | [
"39-36=3",
"63/3=21",
"23+21=44"
] | Current State: 44:[36, 63, 23, 39], Operations: []
Exploring Operation: 39-36=3, Resulting Numbers: [63, 23, 3]
Generated Node #2: [63, 23, 3] from Operation: 39-36=3
Current State: 44:[63, 23, 3], Operations: ['39-36=3']
Exploring Operation: 63/3=21, Resulting Numbers: [23, 21]
Generated Node #3: [23, 21] from Operation: 63/3=21
Current State: 44:[23, 21], Operations: ['39-36=3', '63/3=21']
Exploring Operation: 23+21=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
57,
26,
19,
7
] | 47 | [
"57/19=3",
"7*3=21",
"26+21=47"
] | Current State: 47:[57, 26, 19, 7], Operations: []
Exploring Operation: 57/19=3, Resulting Numbers: [26, 7, 3]
Generated Node #2: [26, 7, 3] from Operation: 57/19=3
Current State: 47:[26, 7, 3], Operations: ['57/19=3']
Exploring Operation: 7*3=21, Resulting Numbers: [26, 21]
Generated Node #3: [26, 21] from Operation: 7*3=21
Current State: 47:[26, 21], Operations: ['57/19=3', '7*3=21']
Exploring Operation: 26+21=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
95,
12,
87,
56
] | 40 | [
"95-87=8",
"12*8=96",
"96-56=40"
] | Current State: 40:[95, 12, 87, 56], Operations: []
Exploring Operation: 95-87=8, Resulting Numbers: [12, 56, 8]
Generated Node #2: [12, 56, 8] from Operation: 95-87=8
Current State: 40:[12, 56, 8], Operations: ['95-87=8']
Exploring Operation: 12*8=96, Resulting Numbers: [56, 96]
Generated Node #3: [56, 96] from Operation: 12*8=96
Current State: 40:[56, 96], Operations: ['95-87=8', '12*8=96']
Exploring Operation: 96-56=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
46,
89,
1,
92
] | 49 | [
"89-46=43",
"1*92=92",
"92-43=49"
] | Current State: 49:[46, 89, 1, 92], Operations: []
Exploring Operation: 89-46=43, Resulting Numbers: [1, 92, 43]
Generated Node #2: [1, 92, 43] from Operation: 89-46=43
Current State: 49:[1, 92, 43], Operations: ['89-46=43']
Exploring Operation: 1*92=92, Resulting Numbers: [43, 92]
Generated Node #3: [43, 92] from Operation: 1*92=92
Current State: 49:[43, 92], Operations: ['89-46=43', '1*92=92']
Exploring Operation: 92-43=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
30,
29,
3,
55
] | 12 | [
"30+29=59",
"59-55=4",
"3*4=12"
] | Current State: 12:[30, 29, 3, 55], Operations: []
Exploring Operation: 30+29=59, Resulting Numbers: [3, 55, 59]
Generated Node #2: [3, 55, 59] from Operation: 30+29=59
Current State: 12:[3, 55, 59], Operations: ['30+29=59']
Exploring Operation: 59-55=4, Resulting Numbers: [3, 4]
Generated Node #3: [3, 4] from Operation: 59-55=4
Current State: 12:[3, 4], Operations: ['30+29=59', '59-55=4']
Exploring Operation: 3*4=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
8,
92,
85,
94
] | 95 | [
"92-8=84",
"85+94=179",
"179-84=95"
] | Current State: 95:[8, 92, 85, 94], Operations: []
Exploring Operation: 92-8=84, Resulting Numbers: [85, 94, 84]
Generated Node #2: [85, 94, 84] from Operation: 92-8=84
Current State: 95:[85, 94, 84], Operations: ['92-8=84']
Exploring Operation: 85+94=179, Resulting Numbers: [84, 179]
Generated Node #3: [84, 179] from Operation: 85+94=179
Current State: 95:[84, 179], Operations: ['92-8=84', '85+94=179']
Exploring Operation: 179-84=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
14,
17,
16,
76
] | 20 | [
"17-14=3",
"76-16=60",
"60/3=20"
] | Current State: 20:[14, 17, 16, 76], Operations: []
Exploring Operation: 17-14=3, Resulting Numbers: [16, 76, 3]
Generated Node #2: [16, 76, 3] from Operation: 17-14=3
Current State: 20:[16, 76, 3], Operations: ['17-14=3']
Exploring Operation: 76-16=60, Resulting Numbers: [3, 60]
Generated Node #3: [3, 60] from Operation: 76-16=60
Current State: 20:[3, 60], Operations: ['17-14=3', '76-16=60']
Exploring Operation: 60/3=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
7,
72,
68,
74
] | 73 | [
"7+72=79",
"74-68=6",
"79-6=73"
] | Current State: 73:[7, 72, 68, 74], Operations: []
Exploring Operation: 7+72=79, Resulting Numbers: [68, 74, 79]
Generated Node #2: [68, 74, 79] from Operation: 7+72=79
Current State: 73:[68, 74, 79], Operations: ['7+72=79']
Exploring Operation: 74-68=6, Resulting Numbers: [79, 6]
Generated Node #3: [79, 6] from Operation: 74-68=6
Current State: 73:[79, 6], Operations: ['7+72=79', '74-68=6']
Exploring Operation: 79-6=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
70,
60,
56,
74
] | 21 | [
"74-56=18",
"70*18=1260",
"1260/60=21"
] | Current State: 21:[70, 60, 56, 74], Operations: []
Exploring Operation: 74-56=18, Resulting Numbers: [70, 60, 18]
Generated Node #2: [70, 60, 18] from Operation: 74-56=18
Current State: 21:[70, 60, 18], Operations: ['74-56=18']
Exploring Operation: 70*18=1260, Resulting Numbers: [60, 1260]
Generated Node #3: [60, 1260] from Operation: 70*18=1260
Current State: 21:[60, 1260], Operations: ['74-56=18', '70*18=1260']
Exploring Operation: 1260/60=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
9,
73,
43,
49
] | 76 | [
"9+73=82",
"49-43=6",
"82-6=76"
] | Current State: 76:[9, 73, 43, 49], Operations: []
Exploring Operation: 9+73=82, Resulting Numbers: [43, 49, 82]
Generated Node #2: [43, 49, 82] from Operation: 9+73=82
Current State: 76:[43, 49, 82], Operations: ['9+73=82']
Exploring Operation: 49-43=6, Resulting Numbers: [82, 6]
Generated Node #3: [82, 6] from Operation: 49-43=6
Current State: 76:[82, 6], Operations: ['9+73=82', '49-43=6']
Exploring Operation: 82-6=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
58,
71,
9,
5
] | 74 | [
"71-58=13",
"5*13=65",
"9+65=74"
] | Current State: 74:[58, 71, 9, 5], Operations: []
Exploring Operation: 71-58=13, Resulting Numbers: [9, 5, 13]
Generated Node #2: [9, 5, 13] from Operation: 71-58=13
Current State: 74:[9, 5, 13], Operations: ['71-58=13']
Exploring Operation: 5*13=65, Resulting Numbers: [9, 65]
Generated Node #3: [9, 65] from Operation: 5*13=65
Current State: 74:[9, 65], Operations: ['71-58=13', '5*13=65']
Exploring Operation: 9+65=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
61,
89,
4,
5
] | 59 | [
"89*4=356",
"356-61=295",
"295/5=59"
] | Current State: 59:[61, 89, 4, 5], Operations: []
Exploring Operation: 89*4=356, Resulting Numbers: [61, 5, 356]
Generated Node #2: [61, 5, 356] from Operation: 89*4=356
Current State: 59:[61, 5, 356], Operations: ['89*4=356']
Exploring Operation: 356-61=295, Resulting Numbers: [5, 295]
Generated Node #3: [5, 295] from Operation: 356-61=295
Current State: 59:[5, 295], Operations: ['89*4=356', '356-61=295']
Exploring Operation: 295/5=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
43,
5,
55,
37
] | 54 | [
"43-5=38",
"55+37=92",
"92-38=54"
] | Current State: 54:[43, 5, 55, 37], Operations: []
Exploring Operation: 43-5=38, Resulting Numbers: [55, 37, 38]
Generated Node #2: [55, 37, 38] from Operation: 43-5=38
Current State: 54:[55, 37, 38], Operations: ['43-5=38']
Exploring Operation: 55+37=92, Resulting Numbers: [38, 92]
Generated Node #3: [38, 92] from Operation: 55+37=92
Current State: 54:[38, 92], Operations: ['43-5=38', '55+37=92']
Exploring Operation: 92-38=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
20,
33,
50,
90
] | 35 | [
"90-50=40",
"40/20=2",
"33+2=35"
] | Current State: 35:[20, 33, 50, 90], Operations: []
Exploring Operation: 90-50=40, Resulting Numbers: [20, 33, 40]
Generated Node #2: [20, 33, 40] from Operation: 90-50=40
Current State: 35:[20, 33, 40], Operations: ['90-50=40']
Exploring Operation: 40/20=2, Resulting Numbers: [33, 2]
Generated Node #3: [33, 2] from Operation: 40/20=2
Current State: 35:[33, 2], Operations: ['90-50=40', '40/20=2']
Exploring Operation: 33+2=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
67,
22,
11,
28
] | 78 | [
"67-28=39",
"22/11=2",
"39*2=78"
] | Current State: 78:[67, 22, 11, 28], Operations: []
Exploring Operation: 67-28=39, Resulting Numbers: [22, 11, 39]
Generated Node #2: [22, 11, 39] from Operation: 67-28=39
Current State: 78:[22, 11, 39], Operations: ['67-28=39']
Exploring Operation: 22/11=2, Resulting Numbers: [39, 2]
Generated Node #3: [39, 2] from Operation: 22/11=2
Current State: 78:[39, 2], Operations: ['67-28=39', '22/11=2']
Exploring Operation: 39*2=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
13,
28,
10,
80
] | 78 | [
"13*10=130",
"80-28=52",
"130-52=78"
] | Current State: 78:[13, 28, 10, 80], Operations: []
Exploring Operation: 13*10=130, Resulting Numbers: [28, 80, 130]
Generated Node #2: [28, 80, 130] from Operation: 13*10=130
Current State: 78:[28, 80, 130], Operations: ['13*10=130']
Exploring Operation: 80-28=52, Resulting Numbers: [130, 52]
Generated Node #3: [130, 52] from Operation: 80-28=52
Current State: 78:[130, 52], Operations: ['13*10=130', '80-28=52']
Exploring Operation: 130-52=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
4,
22,
7,
86
] | 53 | [
"4+22=26",
"86-7=79",
"79-26=53"
] | Current State: 53:[4, 22, 7, 86], Operations: []
Exploring Operation: 4+22=26, Resulting Numbers: [7, 86, 26]
Generated Node #2: [7, 86, 26] from Operation: 4+22=26
Current State: 53:[7, 86, 26], Operations: ['4+22=26']
Exploring Operation: 86-7=79, Resulting Numbers: [26, 79]
Generated Node #3: [26, 79] from Operation: 86-7=79
Current State: 53:[26, 79], Operations: ['4+22=26', '86-7=79']
Exploring Operation: 79-26=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
82,
53,
54,
32
] | 92 | [
"53*54=2862",
"82+2862=2944",
"2944/32=92"
] | Current State: 92:[82, 53, 54, 32], Operations: []
Exploring Operation: 53*54=2862, Resulting Numbers: [82, 32, 2862]
Generated Node #2: [82, 32, 2862] from Operation: 53*54=2862
Current State: 92:[82, 32, 2862], Operations: ['53*54=2862']
Exploring Operation: 82+2862=2944, Resulting Numbers: [32, 2944]
Generated Node #3: [32, 2944] from Operation: 82+2862=2944
Current State: 92:[32, 2944], Operations: ['53*54=2862', '82+2862=2944']
Exploring Operation: 2944/32=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
42,
65,
59,
54
] | 28 | [
"65-42=23",
"59-54=5",
"23+5=28"
] | Current State: 28:[42, 65, 59, 54], Operations: []
Exploring Operation: 65-42=23, Resulting Numbers: [59, 54, 23]
Generated Node #2: [59, 54, 23] from Operation: 65-42=23
Current State: 28:[59, 54, 23], Operations: ['65-42=23']
Exploring Operation: 59-54=5, Resulting Numbers: [23, 5]
Generated Node #3: [23, 5] from Operation: 59-54=5
Current State: 28:[23, 5], Operations: ['65-42=23', '59-54=5']
Exploring Operation: 23+5=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
79,
69,
5,
43
] | 93 | [
"79-69=10",
"5*10=50",
"43+50=93"
] | Current State: 93:[79, 69, 5, 43], Operations: []
Exploring Operation: 79-69=10, Resulting Numbers: [5, 43, 10]
Generated Node #2: [5, 43, 10] from Operation: 79-69=10
Current State: 93:[5, 43, 10], Operations: ['79-69=10']
Exploring Operation: 5*10=50, Resulting Numbers: [43, 50]
Generated Node #3: [43, 50] from Operation: 5*10=50
Current State: 93:[43, 50], Operations: ['79-69=10', '5*10=50']
Exploring Operation: 43+50=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
11,
74,
11,
25
] | 33 | [
"11*74=814",
"11+814=825",
"825/25=33"
] | Current State: 33:[11, 74, 11, 25], Operations: []
Exploring Operation: 11*74=814, Resulting Numbers: [25, 814]
Generated Node #2: [25, 814] from Operation: 11*74=814
Current State: 33:[25, 814], Operations: ['11*74=814']
Exploring Operation: 11+814=825, Resulting Numbers: [25, 825]
Generated Node #3: [25, 825] from Operation: 11+814=825
Current State: 33:[25, 825], Operations: ['11*74=814', '11+814=825']
Exploring Operation: 825/25=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
86,
7,
40,
42
] | 50 | [
"42-40=2",
"86/2=43",
"7+43=50"
] | Current State: 50:[86, 7, 40, 42], Operations: []
Exploring Operation: 42-40=2, Resulting Numbers: [86, 7, 2]
Generated Node #2: [86, 7, 2] from Operation: 42-40=2
Current State: 50:[86, 7, 2], Operations: ['42-40=2']
Exploring Operation: 86/2=43, Resulting Numbers: [7, 43]
Generated Node #3: [7, 43] from Operation: 86/2=43
Current State: 50:[7, 43], Operations: ['42-40=2', '86/2=43']
Exploring Operation: 7+43=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
68,
91,
79,
70
] | 28 | [
"68*70=4760",
"91+79=170",
"4760/170=28"
] | Current State: 28:[68, 91, 79, 70], Operations: []
Exploring Operation: 68*70=4760, Resulting Numbers: [91, 79, 4760]
Generated Node #2: [91, 79, 4760] from Operation: 68*70=4760
Current State: 28:[91, 79, 4760], Operations: ['68*70=4760']
Exploring Operation: 91+79=170, Resulting Numbers: [4760, 170]
Generated Node #3: [4760, 170] from Operation: 91+79=170
Current State: 28:[4760, 170], Operations: ['68*70=4760', '91+79=170']
Exploring Operation: 4760/170=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
26,
72,
55,
9
] | 81 | [
"72-26=46",
"55-46=9",
"9*9=81"
] | Current State: 81:[26, 72, 55, 9], Operations: []
Exploring Operation: 72-26=46, Resulting Numbers: [55, 9, 46]
Generated Node #2: [55, 9, 46] from Operation: 72-26=46
Current State: 81:[55, 9, 46], Operations: ['72-26=46']
Exploring Operation: 55-46=9, Resulting Numbers: [9, 9]
Generated Node #3: [9, 9] from Operation: 55-46=9
Current State: 81:[9, 9], Operations: ['72-26=46', '55-46=9']
Exploring Operation: 9*9=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
10,
65,
51,
56
] | 70 | [
"10+65=75",
"56-51=5",
"75-5=70"
] | Current State: 70:[10, 65, 51, 56], Operations: []
Exploring Operation: 10+65=75, Resulting Numbers: [51, 56, 75]
Generated Node #2: [51, 56, 75] from Operation: 10+65=75
Current State: 70:[51, 56, 75], Operations: ['10+65=75']
Exploring Operation: 56-51=5, Resulting Numbers: [75, 5]
Generated Node #3: [75, 5] from Operation: 56-51=5
Current State: 70:[75, 5], Operations: ['10+65=75', '56-51=5']
Exploring Operation: 75-5=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
29,
39,
55,
68
] | 23 | [
"39-29=10",
"68-55=13",
"10+13=23"
] | Current State: 23:[29, 39, 55, 68], Operations: []
Exploring Operation: 39-29=10, Resulting Numbers: [55, 68, 10]
Generated Node #2: [55, 68, 10] from Operation: 39-29=10
Current State: 23:[55, 68, 10], Operations: ['39-29=10']
Exploring Operation: 68-55=13, Resulting Numbers: [10, 13]
Generated Node #3: [10, 13] from Operation: 68-55=13
Current State: 23:[10, 13], Operations: ['39-29=10', '68-55=13']
Exploring Operation: 10+13=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
73,
92,
26,
78
] | 61 | [
"73+92=165",
"26+78=104",
"165-104=61"
] | Current State: 61:[73, 92, 26, 78], Operations: []
Exploring Operation: 73+92=165, Resulting Numbers: [26, 78, 165]
Generated Node #2: [26, 78, 165] from Operation: 73+92=165
Current State: 61:[26, 78, 165], Operations: ['73+92=165']
Exploring Operation: 26+78=104, Resulting Numbers: [165, 104]
Generated Node #3: [165, 104] from Operation: 26+78=104
Current State: 61:[165, 104], Operations: ['73+92=165', '26+78=104']
Exploring Operation: 165-104=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
42,
41,
60,
58
] | 81 | [
"42+41=83",
"60-58=2",
"83-2=81"
] | Current State: 81:[42, 41, 60, 58], Operations: []
Exploring Operation: 42+41=83, Resulting Numbers: [60, 58, 83]
Generated Node #2: [60, 58, 83] from Operation: 42+41=83
Current State: 81:[60, 58, 83], Operations: ['42+41=83']
Exploring Operation: 60-58=2, Resulting Numbers: [83, 2]
Generated Node #3: [83, 2] from Operation: 60-58=2
Current State: 81:[83, 2], Operations: ['42+41=83', '60-58=2']
Exploring Operation: 83-2=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
57,
72,
51,
15
] | 27 | [
"57-51=6",
"72/6=12",
"15+12=27"
] | Current State: 27:[57, 72, 51, 15], Operations: []
Exploring Operation: 57-51=6, Resulting Numbers: [72, 15, 6]
Generated Node #2: [72, 15, 6] from Operation: 57-51=6
Current State: 27:[72, 15, 6], Operations: ['57-51=6']
Exploring Operation: 72/6=12, Resulting Numbers: [15, 12]
Generated Node #3: [15, 12] from Operation: 72/6=12
Current State: 27:[15, 12], Operations: ['57-51=6', '72/6=12']
Exploring Operation: 15+12=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
7,
77,
10,
9
] | 79 | [
"77/7=11",
"10*9=90",
"90-11=79"
] | Current State: 79:[7, 77, 10, 9], Operations: []
Exploring Operation: 77/7=11, Resulting Numbers: [10, 9, 11]
Generated Node #2: [10, 9, 11] from Operation: 77/7=11
Current State: 79:[10, 9, 11], Operations: ['77/7=11']
Exploring Operation: 10*9=90, Resulting Numbers: [11, 90]
Generated Node #3: [11, 90] from Operation: 10*9=90
Current State: 79:[11, 90], Operations: ['77/7=11', '10*9=90']
Exploring Operation: 90-11=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
3,
38,
58,
66
] | 98 | [
"38+58=96",
"96/3=32",
"66+32=98"
] | Current State: 98:[3, 38, 58, 66], Operations: []
Exploring Operation: 38+58=96, Resulting Numbers: [3, 66, 96]
Generated Node #2: [3, 66, 96] from Operation: 38+58=96
Current State: 98:[3, 66, 96], Operations: ['38+58=96']
Exploring Operation: 96/3=32, Resulting Numbers: [66, 32]
Generated Node #3: [66, 32] from Operation: 96/3=32
Current State: 98:[66, 32], Operations: ['38+58=96', '96/3=32']
Exploring Operation: 66+32=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
44,
15,
22,
30
] | 43 | [
"44/22=2",
"15+30=45",
"45-2=43"
] | Current State: 43:[44, 15, 22, 30], Operations: []
Exploring Operation: 44/22=2, Resulting Numbers: [15, 30, 2]
Generated Node #2: [15, 30, 2] from Operation: 44/22=2
Current State: 43:[15, 30, 2], Operations: ['44/22=2']
Exploring Operation: 15+30=45, Resulting Numbers: [2, 45]
Generated Node #3: [2, 45] from Operation: 15+30=45
Current State: 43:[2, 45], Operations: ['44/22=2', '15+30=45']
Exploring Operation: 45-2=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
10,
90,
39,
59
] | 89 | [
"90/10=9",
"39+59=98",
"98-9=89"
] | Current State: 89:[10, 90, 39, 59], Operations: []
Exploring Operation: 90/10=9, Resulting Numbers: [39, 59, 9]
Generated Node #2: [39, 59, 9] from Operation: 90/10=9
Current State: 89:[39, 59, 9], Operations: ['90/10=9']
Exploring Operation: 39+59=98, Resulting Numbers: [9, 98]
Generated Node #3: [9, 98] from Operation: 39+59=98
Current State: 89:[9, 98], Operations: ['90/10=9', '39+59=98']
Exploring Operation: 98-9=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
83,
8,
17,
18
] | 87 | [
"18-8=10",
"17*10=170",
"170-83=87"
] | Current State: 87:[83, 8, 17, 18], Operations: []
Exploring Operation: 18-8=10, Resulting Numbers: [83, 17, 10]
Generated Node #2: [83, 17, 10] from Operation: 18-8=10
Current State: 87:[83, 17, 10], Operations: ['18-8=10']
Exploring Operation: 17*10=170, Resulting Numbers: [83, 170]
Generated Node #3: [83, 170] from Operation: 17*10=170
Current State: 87:[83, 170], Operations: ['18-8=10', '17*10=170']
Exploring Operation: 170-83=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
55,
46,
70,
93
] | 78 | [
"55+46=101",
"93-70=23",
"101-23=78"
] | Current State: 78:[55, 46, 70, 93], Operations: []
Exploring Operation: 55+46=101, Resulting Numbers: [70, 93, 101]
Generated Node #2: [70, 93, 101] from Operation: 55+46=101
Current State: 78:[70, 93, 101], Operations: ['55+46=101']
Exploring Operation: 93-70=23, Resulting Numbers: [101, 23]
Generated Node #3: [101, 23] from Operation: 93-70=23
Current State: 78:[101, 23], Operations: ['55+46=101', '93-70=23']
Exploring Operation: 101-23=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
28,
24,
84,
59
] | 86 | [
"84/28=3",
"24+59=83",
"3+83=86"
] | Current State: 86:[28, 24, 84, 59], Operations: []
Exploring Operation: 84/28=3, Resulting Numbers: [24, 59, 3]
Generated Node #2: [24, 59, 3] from Operation: 84/28=3
Current State: 86:[24, 59, 3], Operations: ['84/28=3']
Exploring Operation: 24+59=83, Resulting Numbers: [3, 83]
Generated Node #3: [3, 83] from Operation: 24+59=83
Current State: 86:[3, 83], Operations: ['84/28=3', '24+59=83']
Exploring Operation: 3+83=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
71,
47,
75,
80
] | 67 | [
"75-71=4",
"80/4=20",
"47+20=67"
] | Current State: 67:[71, 47, 75, 80], Operations: []
Exploring Operation: 75-71=4, Resulting Numbers: [47, 80, 4]
Generated Node #2: [47, 80, 4] from Operation: 75-71=4
Current State: 67:[47, 80, 4], Operations: ['75-71=4']
Exploring Operation: 80/4=20, Resulting Numbers: [47, 20]
Generated Node #3: [47, 20] from Operation: 80/4=20
Current State: 67:[47, 20], Operations: ['75-71=4', '80/4=20']
Exploring Operation: 47+20=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
10,
25,
84,
95
] | 25 | [
"10+84=94",
"95-94=1",
"25*1=25"
] | Current State: 25:[10, 25, 84, 95], Operations: []
Exploring Operation: 10+84=94, Resulting Numbers: [25, 95, 94]
Generated Node #2: [25, 95, 94] from Operation: 10+84=94
Current State: 25:[25, 95, 94], Operations: ['10+84=94']
Exploring Operation: 95-94=1, Resulting Numbers: [25, 1]
Generated Node #3: [25, 1] from Operation: 95-94=1
Current State: 25:[25, 1], Operations: ['10+84=94', '95-94=1']
Exploring Operation: 25*1=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
15,
13,
33,
68
] | 51 | [
"15*68=1020",
"33-13=20",
"1020/20=51"
] | Current State: 51:[15, 13, 33, 68], Operations: []
Exploring Operation: 15*68=1020, Resulting Numbers: [13, 33, 1020]
Generated Node #2: [13, 33, 1020] from Operation: 15*68=1020
Current State: 51:[13, 33, 1020], Operations: ['15*68=1020']
Exploring Operation: 33-13=20, Resulting Numbers: [1020, 20]
Generated Node #3: [1020, 20] from Operation: 33-13=20
Current State: 51:[1020, 20], Operations: ['15*68=1020', '33-13=20']
Exploring Operation: 1020/20=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
60,
38,
26,
37
] | 33 | [
"60-38=22",
"37-26=11",
"22+11=33"
] | Current State: 33:[60, 38, 26, 37], Operations: []
Exploring Operation: 60-38=22, Resulting Numbers: [26, 37, 22]
Generated Node #2: [26, 37, 22] from Operation: 60-38=22
Current State: 33:[26, 37, 22], Operations: ['60-38=22']
Exploring Operation: 37-26=11, Resulting Numbers: [22, 11]
Generated Node #3: [22, 11] from Operation: 37-26=11
Current State: 33:[22, 11], Operations: ['60-38=22', '37-26=11']
Exploring Operation: 22+11=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
3,
9,
39,
33
] | 17 | [
"9+39=48",
"48/3=16",
"33-16=17"
] | Current State: 17:[3, 9, 39, 33], Operations: []
Exploring Operation: 9+39=48, Resulting Numbers: [3, 33, 48]
Generated Node #2: [3, 33, 48] from Operation: 9+39=48
Current State: 17:[3, 33, 48], Operations: ['9+39=48']
Exploring Operation: 48/3=16, Resulting Numbers: [33, 16]
Generated Node #3: [33, 16] from Operation: 48/3=16
Current State: 17:[33, 16], Operations: ['9+39=48', '48/3=16']
Exploring Operation: 33-16=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
57,
64,
27,
9
] | 21 | [
"64-57=7",
"27/9=3",
"7*3=21"
] | Current State: 21:[57, 64, 27, 9], Operations: []
Exploring Operation: 64-57=7, Resulting Numbers: [27, 9, 7]
Generated Node #2: [27, 9, 7] from Operation: 64-57=7
Current State: 21:[27, 9, 7], Operations: ['64-57=7']
Exploring Operation: 27/9=3, Resulting Numbers: [7, 3]
Generated Node #3: [7, 3] from Operation: 27/9=3
Current State: 21:[7, 3], Operations: ['64-57=7', '27/9=3']
Exploring Operation: 7*3=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
49,
5,
5,
28
] | 67 | [
"49-5=44",
"28-5=23",
"44+23=67"
] | Current State: 67:[49, 5, 5, 28], Operations: []
Exploring Operation: 49-5=44, Resulting Numbers: [28, 44]
Generated Node #2: [28, 44] from Operation: 49-5=44
Current State: 67:[28, 44], Operations: ['49-5=44']
Exploring Operation: 28-5=23, Resulting Numbers: [44, 23]
Generated Node #3: [44, 23] from Operation: 28-5=23
Current State: 67:[44, 23], Operations: ['49-5=44', '28-5=23']
Exploring Operation: 44+23=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
39,
28,
81,
82
] | 67 | [
"39+28=67",
"82-81=1",
"67*1=67"
] | Current State: 67:[39, 28, 81, 82], Operations: []
Exploring Operation: 39+28=67, Resulting Numbers: [81, 82, 67]
Generated Node #2: [81, 82, 67] from Operation: 39+28=67
Current State: 67:[81, 82, 67], Operations: ['39+28=67']
Exploring Operation: 82-81=1, Resulting Numbers: [67, 1]
Generated Node #3: [67, 1] from Operation: 82-81=1
Current State: 67:[67, 1], Operations: ['39+28=67', '82-81=1']
Exploring Operation: 67*1=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
63,
82,
71,
11
] | 41 | [
"82-63=19",
"71-11=60",
"60-19=41"
] | Current State: 41:[63, 82, 71, 11], Operations: []
Exploring Operation: 82-63=19, Resulting Numbers: [71, 11, 19]
Generated Node #2: [71, 11, 19] from Operation: 82-63=19
Current State: 41:[71, 11, 19], Operations: ['82-63=19']
Exploring Operation: 71-11=60, Resulting Numbers: [19, 60]
Generated Node #3: [19, 60] from Operation: 71-11=60
Current State: 41:[19, 60], Operations: ['82-63=19', '71-11=60']
Exploring Operation: 60-19=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
53,
19,
11,
12
] | 34 | [
"53-19=34",
"12-11=1",
"34*1=34"
] | Current State: 34:[53, 19, 11, 12], Operations: []
Exploring Operation: 53-19=34, Resulting Numbers: [11, 12, 34]
Generated Node #2: [11, 12, 34] from Operation: 53-19=34
Current State: 34:[11, 12, 34], Operations: ['53-19=34']
Exploring Operation: 12-11=1, Resulting Numbers: [34, 1]
Generated Node #3: [34, 1] from Operation: 12-11=1
Current State: 34:[34, 1], Operations: ['53-19=34', '12-11=1']
Exploring Operation: 34*1=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
23,
20,
52,
16
] | 21 | [
"23*16=368",
"52+368=420",
"420/20=21"
] | Current State: 21:[23, 20, 52, 16], Operations: []
Exploring Operation: 23*16=368, Resulting Numbers: [20, 52, 368]
Generated Node #2: [20, 52, 368] from Operation: 23*16=368
Current State: 21:[20, 52, 368], Operations: ['23*16=368']
Exploring Operation: 52+368=420, Resulting Numbers: [20, 420]
Generated Node #3: [20, 420] from Operation: 52+368=420
Current State: 21:[20, 420], Operations: ['23*16=368', '52+368=420']
Exploring Operation: 420/20=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
28,
57,
36,
23
] | 26 | [
"28+57=85",
"36+23=59",
"85-59=26"
] | Current State: 26:[28, 57, 36, 23], Operations: []
Exploring Operation: 28+57=85, Resulting Numbers: [36, 23, 85]
Generated Node #2: [36, 23, 85] from Operation: 28+57=85
Current State: 26:[36, 23, 85], Operations: ['28+57=85']
Exploring Operation: 36+23=59, Resulting Numbers: [85, 59]
Generated Node #3: [85, 59] from Operation: 36+23=59
Current State: 26:[85, 59], Operations: ['28+57=85', '36+23=59']
Exploring Operation: 85-59=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
68,
13,
59,
95
] | 99 | [
"68-13=55",
"59+95=154",
"154-55=99"
] | Current State: 99:[68, 13, 59, 95], Operations: []
Exploring Operation: 68-13=55, Resulting Numbers: [59, 95, 55]
Generated Node #2: [59, 95, 55] from Operation: 68-13=55
Current State: 99:[59, 95, 55], Operations: ['68-13=55']
Exploring Operation: 59+95=154, Resulting Numbers: [55, 154]
Generated Node #3: [55, 154] from Operation: 59+95=154
Current State: 99:[55, 154], Operations: ['68-13=55', '59+95=154']
Exploring Operation: 154-55=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
70,
29,
55,
35
] | 79 | [
"70+29=99",
"55-35=20",
"99-20=79"
] | Current State: 79:[70, 29, 55, 35], Operations: []
Exploring Operation: 70+29=99, Resulting Numbers: [55, 35, 99]
Generated Node #2: [55, 35, 99] from Operation: 70+29=99
Current State: 79:[55, 35, 99], Operations: ['70+29=99']
Exploring Operation: 55-35=20, Resulting Numbers: [99, 20]
Generated Node #3: [99, 20] from Operation: 55-35=20
Current State: 79:[99, 20], Operations: ['70+29=99', '55-35=20']
Exploring Operation: 99-20=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
72,
9,
36,
46
] | 72 | [
"9+36=45",
"46-45=1",
"72*1=72"
] | Current State: 72:[72, 9, 36, 46], Operations: []
Exploring Operation: 9+36=45, Resulting Numbers: [72, 46, 45]
Generated Node #2: [72, 46, 45] from Operation: 9+36=45
Current State: 72:[72, 46, 45], Operations: ['9+36=45']
Exploring Operation: 46-45=1, Resulting Numbers: [72, 1]
Generated Node #3: [72, 1] from Operation: 46-45=1
Current State: 72:[72, 1], Operations: ['9+36=45', '46-45=1']
Exploring Operation: 72*1=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
45,
51,
63,
72
] | 27 | [
"45*72=3240",
"51*63=3213",
"3240-3213=27"
] | Current State: 27:[45, 51, 63, 72], Operations: []
Exploring Operation: 45*72=3240, Resulting Numbers: [51, 63, 3240]
Generated Node #2: [51, 63, 3240] from Operation: 45*72=3240
Current State: 27:[51, 63, 3240], Operations: ['45*72=3240']
Exploring Operation: 51*63=3213, Resulting Numbers: [3240, 3213]
Generated Node #3: [3240, 3213] from Operation: 51*63=3213
Current State: 27:[3240, 3213], Operations: ['45*72=3240', '51*63=3213']
Exploring Operation: 3240-3213=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
15,
14,
74,
16
] | 44 | [
"16-14=2",
"15*2=30",
"74-30=44"
] | Current State: 44:[15, 14, 74, 16], Operations: []
Exploring Operation: 16-14=2, Resulting Numbers: [15, 74, 2]
Generated Node #2: [15, 74, 2] from Operation: 16-14=2
Current State: 44:[15, 74, 2], Operations: ['16-14=2']
Exploring Operation: 15*2=30, Resulting Numbers: [74, 30]
Generated Node #3: [74, 30] from Operation: 15*2=30
Current State: 44:[74, 30], Operations: ['16-14=2', '15*2=30']
Exploring Operation: 74-30=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
49,
56,
88,
88
] | 71 | [
"49+56=105",
"88+88=176",
"176-105=71"
] | Current State: 71:[49, 56, 88, 88], Operations: []
Exploring Operation: 49+56=105, Resulting Numbers: [88, 88, 105]
Generated Node #2: [88, 88, 105] from Operation: 49+56=105
Current State: 71:[88, 88, 105], Operations: ['49+56=105']
Exploring Operation: 88+88=176, Resulting Numbers: [105, 176]
Generated Node #3: [105, 176] from Operation: 88+88=176
Current State: 71:[105, 176], Operations: ['49+56=105', '88+88=176']
Exploring Operation: 176-105=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
93,
33,
43,
41
] | 17 | [
"93+43=136",
"41-33=8",
"136/8=17"
] | Current State: 17:[93, 33, 43, 41], Operations: []
Exploring Operation: 93+43=136, Resulting Numbers: [33, 41, 136]
Generated Node #2: [33, 41, 136] from Operation: 93+43=136
Current State: 17:[33, 41, 136], Operations: ['93+43=136']
Exploring Operation: 41-33=8, Resulting Numbers: [136, 8]
Generated Node #3: [136, 8] from Operation: 41-33=8
Current State: 17:[136, 8], Operations: ['93+43=136', '41-33=8']
Exploring Operation: 136/8=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
10,
64,
48,
62
] | 53 | [
"64-62=2",
"10/2=5",
"48+5=53"
] | Current State: 53:[10, 64, 48, 62], Operations: []
Exploring Operation: 64-62=2, Resulting Numbers: [10, 48, 2]
Generated Node #2: [10, 48, 2] from Operation: 64-62=2
Current State: 53:[10, 48, 2], Operations: ['64-62=2']
Exploring Operation: 10/2=5, Resulting Numbers: [48, 5]
Generated Node #3: [48, 5] from Operation: 10/2=5
Current State: 53:[48, 5], Operations: ['64-62=2', '10/2=5']
Exploring Operation: 48+5=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
94,
63,
83,
66
] | 59 | [
"94+83=177",
"66-63=3",
"177/3=59"
] | Current State: 59:[94, 63, 83, 66], Operations: []
Exploring Operation: 94+83=177, Resulting Numbers: [63, 66, 177]
Generated Node #2: [63, 66, 177] from Operation: 94+83=177
Current State: 59:[63, 66, 177], Operations: ['94+83=177']
Exploring Operation: 66-63=3, Resulting Numbers: [177, 3]
Generated Node #3: [177, 3] from Operation: 66-63=3
Current State: 59:[177, 3], Operations: ['94+83=177', '66-63=3']
Exploring Operation: 177/3=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
10,
31,
33,
19
] | 19 | [
"10*33=330",
"31+330=361",
"361/19=19"
] | Current State: 19:[10, 31, 33, 19], Operations: []
Exploring Operation: 10*33=330, Resulting Numbers: [31, 19, 330]
Generated Node #2: [31, 19, 330] from Operation: 10*33=330
Current State: 19:[31, 19, 330], Operations: ['10*33=330']
Exploring Operation: 31+330=361, Resulting Numbers: [19, 361]
Generated Node #3: [19, 361] from Operation: 31+330=361
Current State: 19:[19, 361], Operations: ['10*33=330', '31+330=361']
Exploring Operation: 361/19=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
86,
8,
60,
2
] | 69 | [
"86-8=78",
"60+78=138",
"138/2=69"
] | Current State: 69:[86, 8, 60, 2], Operations: []
Exploring Operation: 86-8=78, Resulting Numbers: [60, 2, 78]
Generated Node #2: [60, 2, 78] from Operation: 86-8=78
Current State: 69:[60, 2, 78], Operations: ['86-8=78']
Exploring Operation: 60+78=138, Resulting Numbers: [2, 138]
Generated Node #3: [2, 138] from Operation: 60+78=138
Current State: 69:[2, 138], Operations: ['86-8=78', '60+78=138']
Exploring Operation: 138/2=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
47,
11,
94,
80
] | 93 | [
"94/47=2",
"11+80=91",
"2+91=93"
] | Current State: 93:[47, 11, 94, 80], Operations: []
Exploring Operation: 94/47=2, Resulting Numbers: [11, 80, 2]
Generated Node #2: [11, 80, 2] from Operation: 94/47=2
Current State: 93:[11, 80, 2], Operations: ['94/47=2']
Exploring Operation: 11+80=91, Resulting Numbers: [2, 91]
Generated Node #3: [2, 91] from Operation: 11+80=91
Current State: 93:[2, 91], Operations: ['94/47=2', '11+80=91']
Exploring Operation: 2+91=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
18,
21,
19,
19
] | 41 | [
"21-18=3",
"19+19=38",
"3+38=41"
] | Current State: 41:[18, 21, 19, 19], Operations: []
Exploring Operation: 21-18=3, Resulting Numbers: [19, 19, 3]
Generated Node #2: [19, 19, 3] from Operation: 21-18=3
Current State: 41:[19, 19, 3], Operations: ['21-18=3']
Exploring Operation: 19+19=38, Resulting Numbers: [3, 38]
Generated Node #3: [3, 38] from Operation: 19+19=38
Current State: 41:[3, 38], Operations: ['21-18=3', '19+19=38']
Exploring Operation: 3+38=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
65,
70,
33,
52
] | 24 | [
"70-65=5",
"52-33=19",
"5+19=24"
] | Current State: 24:[65, 70, 33, 52], Operations: []
Exploring Operation: 70-65=5, Resulting Numbers: [33, 52, 5]
Generated Node #2: [33, 52, 5] from Operation: 70-65=5
Current State: 24:[33, 52, 5], Operations: ['70-65=5']
Exploring Operation: 52-33=19, Resulting Numbers: [5, 19]
Generated Node #3: [5, 19] from Operation: 52-33=19
Current State: 24:[5, 19], Operations: ['70-65=5', '52-33=19']
Exploring Operation: 5+19=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
7,
33,
80,
48
] | 58 | [
"33-7=26",
"80-48=32",
"26+32=58"
] | Current State: 58:[7, 33, 80, 48], Operations: []
Exploring Operation: 33-7=26, Resulting Numbers: [80, 48, 26]
Generated Node #2: [80, 48, 26] from Operation: 33-7=26
Current State: 58:[80, 48, 26], Operations: ['33-7=26']
Exploring Operation: 80-48=32, Resulting Numbers: [26, 32]
Generated Node #3: [26, 32] from Operation: 80-48=32
Current State: 58:[26, 32], Operations: ['33-7=26', '80-48=32']
Exploring Operation: 26+32=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
51,
9,
16,
87
] | 57 | [
"9+87=96",
"96/16=6",
"51+6=57"
] | Current State: 57:[51, 9, 16, 87], Operations: []
Exploring Operation: 9+87=96, Resulting Numbers: [51, 16, 96]
Generated Node #2: [51, 16, 96] from Operation: 9+87=96
Current State: 57:[51, 16, 96], Operations: ['9+87=96']
Exploring Operation: 96/16=6, Resulting Numbers: [51, 6]
Generated Node #3: [51, 6] from Operation: 96/16=6
Current State: 57:[51, 6], Operations: ['9+87=96', '96/16=6']
Exploring Operation: 51+6=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
17,
38,
6,
12
] | 52 | [
"17*6=102",
"38+12=50",
"102-50=52"
] | Current State: 52:[17, 38, 6, 12], Operations: []
Exploring Operation: 17*6=102, Resulting Numbers: [38, 12, 102]
Generated Node #2: [38, 12, 102] from Operation: 17*6=102
Current State: 52:[38, 12, 102], Operations: ['17*6=102']
Exploring Operation: 38+12=50, Resulting Numbers: [102, 50]
Generated Node #3: [102, 50] from Operation: 38+12=50
Current State: 52:[102, 50], Operations: ['17*6=102', '38+12=50']
Exploring Operation: 102-50=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
55,
54,
56,
49
] | 98 | [
"54+56=110",
"110/55=2",
"49*2=98"
] | Current State: 98:[55, 54, 56, 49], Operations: []
Exploring Operation: 54+56=110, Resulting Numbers: [55, 49, 110]
Generated Node #2: [55, 49, 110] from Operation: 54+56=110
Current State: 98:[55, 49, 110], Operations: ['54+56=110']
Exploring Operation: 110/55=2, Resulting Numbers: [49, 2]
Generated Node #3: [49, 2] from Operation: 110/55=2
Current State: 98:[49, 2], Operations: ['54+56=110', '110/55=2']
Exploring Operation: 49*2=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
72,
60,
63,
53
] | 81 | [
"60-53=7",
"63/7=9",
"72+9=81"
] | Current State: 81:[72, 60, 63, 53], Operations: []
Exploring Operation: 60-53=7, Resulting Numbers: [72, 63, 7]
Generated Node #2: [72, 63, 7] from Operation: 60-53=7
Current State: 81:[72, 63, 7], Operations: ['60-53=7']
Exploring Operation: 63/7=9, Resulting Numbers: [72, 9]
Generated Node #3: [72, 9] from Operation: 63/7=9
Current State: 81:[72, 9], Operations: ['60-53=7', '63/7=9']
Exploring Operation: 72+9=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
10,
2,
47,
2
] | 76 | [
"47-10=37",
"2*37=74",
"2+74=76"
] | Current State: 76:[10, 2, 47, 2], Operations: []
Exploring Operation: 47-10=37, Resulting Numbers: [2, 2, 37]
Generated Node #2: [2, 2, 37] from Operation: 47-10=37
Current State: 76:[2, 2, 37], Operations: ['47-10=37']
Exploring Operation: 2*37=74, Resulting Numbers: [74]
74,76 equal: Goal Reached
Exploring Operation: 2+74=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
48,
8,
5,
41
] | 86 | [
"48-8=40",
"5+41=46",
"40+46=86"
] | Current State: 86:[48, 8, 5, 41], Operations: []
Exploring Operation: 48-8=40, Resulting Numbers: [5, 41, 40]
Generated Node #2: [5, 41, 40] from Operation: 48-8=40
Current State: 86:[5, 41, 40], Operations: ['48-8=40']
Exploring Operation: 5+41=46, Resulting Numbers: [40, 46]
Generated Node #3: [40, 46] from Operation: 5+41=46
Current State: 86:[40, 46], Operations: ['48-8=40', '5+41=46']
Exploring Operation: 40+46=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
45,
25,
48,
6
] | 75 | [
"48-45=3",
"6-3=3",
"25*3=75"
] | Current State: 75:[45, 25, 48, 6], Operations: []
Exploring Operation: 48-45=3, Resulting Numbers: [25, 6, 3]
Generated Node #2: [25, 6, 3] from Operation: 48-45=3
Current State: 75:[25, 6, 3], Operations: ['48-45=3']
Exploring Operation: 6-3=3, Resulting Numbers: [25, 3]
Generated Node #3: [25, 3] from Operation: 6-3=3
Current State: 75:[25, 3], Operations: ['48-45=3', '6-3=3']
Exploring Operation: 25*3=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
74,
87,
51,
3
] | 52 | [
"74-51=23",
"87/3=29",
"23+29=52"
] | Current State: 52:[74, 87, 51, 3], Operations: []
Exploring Operation: 74-51=23, Resulting Numbers: [87, 3, 23]
Generated Node #2: [87, 3, 23] from Operation: 74-51=23
Current State: 52:[87, 3, 23], Operations: ['74-51=23']
Exploring Operation: 87/3=29, Resulting Numbers: [23, 29]
Generated Node #3: [23, 29] from Operation: 87/3=29
Current State: 52:[23, 29], Operations: ['74-51=23', '87/3=29']
Exploring Operation: 23+29=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
86,
10,
32,
95
] | 27 | [
"10*95=950",
"950-86=864",
"864/32=27"
] | Current State: 27:[86, 10, 32, 95], Operations: []
Exploring Operation: 10*95=950, Resulting Numbers: [86, 32, 950]
Generated Node #2: [86, 32, 950] from Operation: 10*95=950
Current State: 27:[86, 32, 950], Operations: ['10*95=950']
Exploring Operation: 950-86=864, Resulting Numbers: [32, 864]
Generated Node #3: [32, 864] from Operation: 950-86=864
Current State: 27:[32, 864], Operations: ['10*95=950', '950-86=864']
Exploring Operation: 864/32=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
30,
8,
27,
9
] | 99 | [
"30+8=38",
"38-27=11",
"9*11=99"
] | Current State: 99:[30, 8, 27, 9], Operations: []
Exploring Operation: 30+8=38, Resulting Numbers: [27, 9, 38]
Generated Node #2: [27, 9, 38] from Operation: 30+8=38
Current State: 99:[27, 9, 38], Operations: ['30+8=38']
Exploring Operation: 38-27=11, Resulting Numbers: [9, 11]
Generated Node #3: [9, 11] from Operation: 38-27=11
Current State: 99:[9, 11], Operations: ['30+8=38', '38-27=11']
Exploring Operation: 9*11=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
75,
87,
65,
2
] | 99 | [
"75+87=162",
"65-2=63",
"162-63=99"
] | Current State: 99:[75, 87, 65, 2], Operations: []
Exploring Operation: 75+87=162, Resulting Numbers: [65, 2, 162]
Generated Node #2: [65, 2, 162] from Operation: 75+87=162
Current State: 99:[65, 2, 162], Operations: ['75+87=162']
Exploring Operation: 65-2=63, Resulting Numbers: [162, 63]
Generated Node #3: [162, 63] from Operation: 65-2=63
Current State: 99:[162, 63], Operations: ['75+87=162', '65-2=63']
Exploring Operation: 162-63=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
17,
33,
37,
34
] | 47 | [
"17+33=50",
"37-34=3",
"50-3=47"
] | Current State: 47:[17, 33, 37, 34], Operations: []
Exploring Operation: 17+33=50, Resulting Numbers: [37, 34, 50]
Generated Node #2: [37, 34, 50] from Operation: 17+33=50
Current State: 47:[37, 34, 50], Operations: ['17+33=50']
Exploring Operation: 37-34=3, Resulting Numbers: [50, 3]
Generated Node #3: [50, 3] from Operation: 37-34=3
Current State: 47:[50, 3], Operations: ['17+33=50', '37-34=3']
Exploring Operation: 50-3=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
99,
36,
13,
67
] | 17 | [
"99-36=63",
"13+67=80",
"80-63=17"
] | Current State: 17:[99, 36, 13, 67], Operations: []
Exploring Operation: 99-36=63, Resulting Numbers: [13, 67, 63]
Generated Node #2: [13, 67, 63] from Operation: 99-36=63
Current State: 17:[13, 67, 63], Operations: ['99-36=63']
Exploring Operation: 13+67=80, Resulting Numbers: [63, 80]
Generated Node #3: [63, 80] from Operation: 13+67=80
Current State: 17:[63, 80], Operations: ['99-36=63', '13+67=80']
Exploring Operation: 80-63=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
32,
11,
25,
17
] | 85 | [
"32+11=43",
"25+17=42",
"43+42=85"
] | Current State: 85:[32, 11, 25, 17], Operations: []
Exploring Operation: 32+11=43, Resulting Numbers: [25, 17, 43]
Generated Node #2: [25, 17, 43] from Operation: 32+11=43
Current State: 85:[25, 17, 43], Operations: ['32+11=43']
Exploring Operation: 25+17=42, Resulting Numbers: [43, 42]
Generated Node #3: [43, 42] from Operation: 25+17=42
Current State: 85:[43, 42], Operations: ['32+11=43', '25+17=42']
Exploring Operation: 43+42=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
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