nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
98,
25,
69,
98
] | 94 | [
"98+25=123",
"98-69=29",
"123-29=94"
] | Current State: 94:[98, 25, 69, 98], Operations: []
Exploring Operation: 98+25=123, Resulting Numbers: [69, 123]
Generated Node #2: [69, 123] from Operation: 98+25=123
Current State: 94:[69, 123], Operations: ['98+25=123']
Exploring Operation: 98-69=29, Resulting Numbers: [123, 29]
Generated Node #3: [123, 29] from Operation: 98-69=29
Current State: 94:[123, 29], Operations: ['98+25=123', '98-69=29']
Exploring Operation: 123-29=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
16,
63,
12,
61
] | 44 | [
"63-61=2",
"16*2=32",
"12+32=44"
] | Current State: 44:[16, 63, 12, 61], Operations: []
Exploring Operation: 63-61=2, Resulting Numbers: [16, 12, 2]
Generated Node #2: [16, 12, 2] from Operation: 63-61=2
Current State: 44:[16, 12, 2], Operations: ['63-61=2']
Exploring Operation: 16*2=32, Resulting Numbers: [12, 32]
Generated Node #3: [12, 32] from Operation: 16*2=32
Current State: 44:[12, 32], Operations: ['63-61=2', '16*2=32']
Exploring Operation: 12+32=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
2,
54,
20,
4
] | 37 | [
"4-2=2",
"54+20=74",
"74/2=37"
] | Current State: 37:[2, 54, 20, 4], Operations: []
Exploring Operation: 4-2=2, Resulting Numbers: [54, 20, 2]
Generated Node #2: [54, 20, 2] from Operation: 4-2=2
Current State: 37:[54, 20, 2], Operations: ['4-2=2']
Exploring Operation: 54+20=74, Resulting Numbers: [2, 74]
Generated Node #3: [2, 74] from Operation: 54+20=74
Current State: 37:[2, 74], Operations: ['4-2=2', '54+20=74']
Exploring Operation: 74/2=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
97,
37,
98,
9
] | 29 | [
"97-37=60",
"98-9=89",
"89-60=29"
] | Current State: 29:[97, 37, 98, 9], Operations: []
Exploring Operation: 97-37=60, Resulting Numbers: [98, 9, 60]
Generated Node #2: [98, 9, 60] from Operation: 97-37=60
Current State: 29:[98, 9, 60], Operations: ['97-37=60']
Exploring Operation: 98-9=89, Resulting Numbers: [60, 89]
Generated Node #3: [60, 89] from Operation: 98-9=89
Current State: 29:[60, 89], Operations: ['97-37=60', '98-9=89']
Exploring Operation: 89-60=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
83,
94,
80,
87
] | 77 | [
"94-83=11",
"87-80=7",
"11*7=77"
] | Current State: 77:[83, 94, 80, 87], Operations: []
Exploring Operation: 94-83=11, Resulting Numbers: [80, 87, 11]
Generated Node #2: [80, 87, 11] from Operation: 94-83=11
Current State: 77:[80, 87, 11], Operations: ['94-83=11']
Exploring Operation: 87-80=7, Resulting Numbers: [11, 7]
Generated Node #3: [11, 7] from Operation: 87-80=7
Current State: 77:[11, 7], Operations: ['94-83=11', '87-80=7']
Exploring Operation: 11*7=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
41,
54,
90,
6
] | 21 | [
"41-6=35",
"54*35=1890",
"1890/90=21"
] | Current State: 21:[41, 54, 90, 6], Operations: []
Exploring Operation: 41-6=35, Resulting Numbers: [54, 90, 35]
Generated Node #2: [54, 90, 35] from Operation: 41-6=35
Current State: 21:[54, 90, 35], Operations: ['41-6=35']
Exploring Operation: 54*35=1890, Resulting Numbers: [90, 1890]
Generated Node #3: [90, 1890] from Operation: 54*35=1890
Current State: 21:[90, 1890], Operations: ['41-6=35', '54*35=1890']
Exploring Operation: 1890/90=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
71,
14,
7,
43
] | 99 | [
"71*14=994",
"994/7=142",
"142-43=99"
] | Current State: 99:[71, 14, 7, 43], Operations: []
Exploring Operation: 71*14=994, Resulting Numbers: [7, 43, 994]
Generated Node #2: [7, 43, 994] from Operation: 71*14=994
Current State: 99:[7, 43, 994], Operations: ['71*14=994']
Exploring Operation: 994/7=142, Resulting Numbers: [43, 142]
Generated Node #3: [43, 142] from Operation: 994/7=142
Current State: 99:[43, 142], Operations: ['71*14=994', '994/7=142']
Exploring Operation: 142-43=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
6,
12,
42,
20
] | 32 | [
"12/6=2",
"20/2=10",
"42-10=32"
] | Current State: 32:[6, 12, 42, 20], Operations: []
Exploring Operation: 12/6=2, Resulting Numbers: [42, 20, 2]
Generated Node #2: [42, 20, 2] from Operation: 12/6=2
Current State: 32:[42, 20, 2], Operations: ['12/6=2']
Exploring Operation: 20/2=10, Resulting Numbers: [42, 10]
Generated Node #3: [42, 10] from Operation: 20/2=10
Current State: 32:[42, 10], Operations: ['12/6=2', '20/2=10']
Exploring Operation: 42-10=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
48,
52,
52,
11
] | 60 | [
"48+11=59",
"52/52=1",
"59+1=60"
] | Current State: 60:[48, 52, 52, 11], Operations: []
Exploring Operation: 48+11=59, Resulting Numbers: [52, 52, 59]
Generated Node #2: [52, 52, 59] from Operation: 48+11=59
Current State: 60:[52, 52, 59], Operations: ['48+11=59']
Exploring Operation: 52/52=1, Resulting Numbers: [59, 1]
Generated Node #3: [59, 1] from Operation: 52/52=1
Current State: 60:[59, 1], Operations: ['48+11=59', '52/52=1']
Exploring Operation: 59+1=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
85,
98,
53,
88
] | 15 | [
"88-85=3",
"98-53=45",
"45/3=15"
] | Current State: 15:[85, 98, 53, 88], Operations: []
Exploring Operation: 88-85=3, Resulting Numbers: [98, 53, 3]
Generated Node #2: [98, 53, 3] from Operation: 88-85=3
Current State: 15:[98, 53, 3], Operations: ['88-85=3']
Exploring Operation: 98-53=45, Resulting Numbers: [3, 45]
Generated Node #3: [3, 45] from Operation: 98-53=45
Current State: 15:[3, 45], Operations: ['88-85=3', '98-53=45']
Exploring Operation: 45/3=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
79,
75,
96,
33
] | 59 | [
"79-75=4",
"96-33=63",
"63-4=59"
] | Current State: 59:[79, 75, 96, 33], Operations: []
Exploring Operation: 79-75=4, Resulting Numbers: [96, 33, 4]
Generated Node #2: [96, 33, 4] from Operation: 79-75=4
Current State: 59:[96, 33, 4], Operations: ['79-75=4']
Exploring Operation: 96-33=63, Resulting Numbers: [4, 63]
Generated Node #3: [4, 63] from Operation: 96-33=63
Current State: 59:[4, 63], Operations: ['79-75=4', '96-33=63']
Exploring Operation: 63-4=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
12,
40,
10,
84
] | 37 | [
"84/12=7",
"40-10=30",
"7+30=37"
] | Current State: 37:[12, 40, 10, 84], Operations: []
Exploring Operation: 84/12=7, Resulting Numbers: [40, 10, 7]
Generated Node #2: [40, 10, 7] from Operation: 84/12=7
Current State: 37:[40, 10, 7], Operations: ['84/12=7']
Exploring Operation: 40-10=30, Resulting Numbers: [7, 30]
Generated Node #3: [7, 30] from Operation: 40-10=30
Current State: 37:[7, 30], Operations: ['84/12=7', '40-10=30']
Exploring Operation: 7+30=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
70,
92,
18,
20
] | 66 | [
"92-20=72",
"72/18=4",
"70-4=66"
] | Current State: 66:[70, 92, 18, 20], Operations: []
Exploring Operation: 92-20=72, Resulting Numbers: [70, 18, 72]
Generated Node #2: [70, 18, 72] from Operation: 92-20=72
Current State: 66:[70, 18, 72], Operations: ['92-20=72']
Exploring Operation: 72/18=4, Resulting Numbers: [70, 4]
Generated Node #3: [70, 4] from Operation: 72/18=4
Current State: 66:[70, 4], Operations: ['92-20=72', '72/18=4']
Exploring Operation: 70-4=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
96,
8,
98,
61
] | 71 | [
"96-8=88",
"98+61=159",
"159-88=71"
] | Current State: 71:[96, 8, 98, 61], Operations: []
Exploring Operation: 96-8=88, Resulting Numbers: [98, 61, 88]
Generated Node #2: [98, 61, 88] from Operation: 96-8=88
Current State: 71:[98, 61, 88], Operations: ['96-8=88']
Exploring Operation: 98+61=159, Resulting Numbers: [88, 159]
Generated Node #3: [88, 159] from Operation: 98+61=159
Current State: 71:[88, 159], Operations: ['96-8=88', '98+61=159']
Exploring Operation: 159-88=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
13,
5,
70,
58
] | 61 | [
"58-13=45",
"45/5=9",
"70-9=61"
] | Current State: 61:[13, 5, 70, 58], Operations: []
Exploring Operation: 58-13=45, Resulting Numbers: [5, 70, 45]
Generated Node #2: [5, 70, 45] from Operation: 58-13=45
Current State: 61:[5, 70, 45], Operations: ['58-13=45']
Exploring Operation: 45/5=9, Resulting Numbers: [70, 9]
Generated Node #3: [70, 9] from Operation: 45/5=9
Current State: 61:[70, 9], Operations: ['58-13=45', '45/5=9']
Exploring Operation: 70-9=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
2,
11,
30,
75
] | 16 | [
"30/2=15",
"75/15=5",
"11+5=16"
] | Current State: 16:[2, 11, 30, 75], Operations: []
Exploring Operation: 30/2=15, Resulting Numbers: [11, 75, 15]
Generated Node #2: [11, 75, 15] from Operation: 30/2=15
Current State: 16:[11, 75, 15], Operations: ['30/2=15']
Exploring Operation: 75/15=5, Resulting Numbers: [11, 5]
Generated Node #3: [11, 5] from Operation: 75/15=5
Current State: 16:[11, 5], Operations: ['30/2=15', '75/15=5']
Exploring Operation: 11+5=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
21,
60,
54,
36
] | 70 | [
"21*60=1260",
"54-36=18",
"1260/18=70"
] | Current State: 70:[21, 60, 54, 36], Operations: []
Exploring Operation: 21*60=1260, Resulting Numbers: [54, 36, 1260]
Generated Node #2: [54, 36, 1260] from Operation: 21*60=1260
Current State: 70:[54, 36, 1260], Operations: ['21*60=1260']
Exploring Operation: 54-36=18, Resulting Numbers: [1260, 18]
Generated Node #3: [1260, 18] from Operation: 54-36=18
Current State: 70:[1260, 18], Operations: ['21*60=1260', '54-36=18']
Exploring Operation: 1260/18=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
48,
26,
78,
65
] | 60 | [
"48*65=3120",
"78-26=52",
"3120/52=60"
] | Current State: 60:[48, 26, 78, 65], Operations: []
Exploring Operation: 48*65=3120, Resulting Numbers: [26, 78, 3120]
Generated Node #2: [26, 78, 3120] from Operation: 48*65=3120
Current State: 60:[26, 78, 3120], Operations: ['48*65=3120']
Exploring Operation: 78-26=52, Resulting Numbers: [3120, 52]
Generated Node #3: [3120, 52] from Operation: 78-26=52
Current State: 60:[3120, 52], Operations: ['48*65=3120', '78-26=52']
Exploring Operation: 3120/52=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
80,
16,
90,
87
] | 61 | [
"80-16=64",
"90-87=3",
"64-3=61"
] | Current State: 61:[80, 16, 90, 87], Operations: []
Exploring Operation: 80-16=64, Resulting Numbers: [90, 87, 64]
Generated Node #2: [90, 87, 64] from Operation: 80-16=64
Current State: 61:[90, 87, 64], Operations: ['80-16=64']
Exploring Operation: 90-87=3, Resulting Numbers: [64, 3]
Generated Node #3: [64, 3] from Operation: 90-87=3
Current State: 61:[64, 3], Operations: ['80-16=64', '90-87=3']
Exploring Operation: 64-3=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
29,
17,
78,
31
] | 22 | [
"31-29=2",
"78/2=39",
"39-17=22"
] | Current State: 22:[29, 17, 78, 31], Operations: []
Exploring Operation: 31-29=2, Resulting Numbers: [17, 78, 2]
Generated Node #2: [17, 78, 2] from Operation: 31-29=2
Current State: 22:[17, 78, 2], Operations: ['31-29=2']
Exploring Operation: 78/2=39, Resulting Numbers: [17, 39]
Generated Node #3: [17, 39] from Operation: 78/2=39
Current State: 22:[17, 39], Operations: ['31-29=2', '78/2=39']
Exploring Operation: 39-17=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
43,
56,
70,
64
] | 35 | [
"43+56=99",
"70+64=134",
"134-99=35"
] | Current State: 35:[43, 56, 70, 64], Operations: []
Exploring Operation: 43+56=99, Resulting Numbers: [70, 64, 99]
Generated Node #2: [70, 64, 99] from Operation: 43+56=99
Current State: 35:[70, 64, 99], Operations: ['43+56=99']
Exploring Operation: 70+64=134, Resulting Numbers: [99, 134]
Generated Node #3: [99, 134] from Operation: 70+64=134
Current State: 35:[99, 134], Operations: ['43+56=99', '70+64=134']
Exploring Operation: 134-99=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
40,
80,
61,
88
] | 93 | [
"40+80=120",
"88-61=27",
"120-27=93"
] | Current State: 93:[40, 80, 61, 88], Operations: []
Exploring Operation: 40+80=120, Resulting Numbers: [61, 88, 120]
Generated Node #2: [61, 88, 120] from Operation: 40+80=120
Current State: 93:[61, 88, 120], Operations: ['40+80=120']
Exploring Operation: 88-61=27, Resulting Numbers: [120, 27]
Generated Node #3: [120, 27] from Operation: 88-61=27
Current State: 93:[120, 27], Operations: ['40+80=120', '88-61=27']
Exploring Operation: 120-27=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
76,
23,
9,
53
] | 97 | [
"76-23=53",
"53-9=44",
"53+44=97"
] | Current State: 97:[76, 23, 9, 53], Operations: []
Exploring Operation: 76-23=53, Resulting Numbers: [9, 53, 53]
Generated Node #2: [9, 53, 53] from Operation: 76-23=53
Current State: 97:[9, 53, 53], Operations: ['76-23=53']
Exploring Operation: 53-9=44, Resulting Numbers: [44]
44,97 equal: Goal Reached
Exploring Operation: 53+44=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
89,
16,
82,
40
] | 49 | [
"89-16=73",
"82+40=122",
"122-73=49"
] | Current State: 49:[89, 16, 82, 40], Operations: []
Exploring Operation: 89-16=73, Resulting Numbers: [82, 40, 73]
Generated Node #2: [82, 40, 73] from Operation: 89-16=73
Current State: 49:[82, 40, 73], Operations: ['89-16=73']
Exploring Operation: 82+40=122, Resulting Numbers: [73, 122]
Generated Node #3: [73, 122] from Operation: 82+40=122
Current State: 49:[73, 122], Operations: ['89-16=73', '82+40=122']
Exploring Operation: 122-73=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
82,
12,
48,
88
] | 20 | [
"88-82=6",
"48/6=8",
"12+8=20"
] | Current State: 20:[82, 12, 48, 88], Operations: []
Exploring Operation: 88-82=6, Resulting Numbers: [12, 48, 6]
Generated Node #2: [12, 48, 6] from Operation: 88-82=6
Current State: 20:[12, 48, 6], Operations: ['88-82=6']
Exploring Operation: 48/6=8, Resulting Numbers: [12, 8]
Generated Node #3: [12, 8] from Operation: 48/6=8
Current State: 20:[12, 8], Operations: ['88-82=6', '48/6=8']
Exploring Operation: 12+8=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
4,
32,
85,
30
] | 73 | [
"4*32=128",
"85-30=55",
"128-55=73"
] | Current State: 73:[4, 32, 85, 30], Operations: []
Exploring Operation: 4*32=128, Resulting Numbers: [85, 30, 128]
Generated Node #2: [85, 30, 128] from Operation: 4*32=128
Current State: 73:[85, 30, 128], Operations: ['4*32=128']
Exploring Operation: 85-30=55, Resulting Numbers: [128, 55]
Generated Node #3: [128, 55] from Operation: 85-30=55
Current State: 73:[128, 55], Operations: ['4*32=128', '85-30=55']
Exploring Operation: 128-55=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
25,
54,
51,
2
] | 16 | [
"25+51=76",
"76/2=38",
"54-38=16"
] | Current State: 16:[25, 54, 51, 2], Operations: []
Exploring Operation: 25+51=76, Resulting Numbers: [54, 2, 76]
Generated Node #2: [54, 2, 76] from Operation: 25+51=76
Current State: 16:[54, 2, 76], Operations: ['25+51=76']
Exploring Operation: 76/2=38, Resulting Numbers: [54, 38]
Generated Node #3: [54, 38] from Operation: 76/2=38
Current State: 16:[54, 38], Operations: ['25+51=76', '76/2=38']
Exploring Operation: 54-38=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
11,
88,
4,
85
] | 52 | [
"85-11=74",
"88/4=22",
"74-22=52"
] | Current State: 52:[11, 88, 4, 85], Operations: []
Exploring Operation: 85-11=74, Resulting Numbers: [88, 4, 74]
Generated Node #2: [88, 4, 74] from Operation: 85-11=74
Current State: 52:[88, 4, 74], Operations: ['85-11=74']
Exploring Operation: 88/4=22, Resulting Numbers: [74, 22]
Generated Node #3: [74, 22] from Operation: 88/4=22
Current State: 52:[74, 22], Operations: ['85-11=74', '88/4=22']
Exploring Operation: 74-22=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
17,
96,
66,
25
] | 12 | [
"96-17=79",
"66+25=91",
"91-79=12"
] | Current State: 12:[17, 96, 66, 25], Operations: []
Exploring Operation: 96-17=79, Resulting Numbers: [66, 25, 79]
Generated Node #2: [66, 25, 79] from Operation: 96-17=79
Current State: 12:[66, 25, 79], Operations: ['96-17=79']
Exploring Operation: 66+25=91, Resulting Numbers: [79, 91]
Generated Node #3: [79, 91] from Operation: 66+25=91
Current State: 12:[79, 91], Operations: ['96-17=79', '66+25=91']
Exploring Operation: 91-79=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
89,
17,
54,
63
] | 97 | [
"89+17=106",
"63-54=9",
"106-9=97"
] | Current State: 97:[89, 17, 54, 63], Operations: []
Exploring Operation: 89+17=106, Resulting Numbers: [54, 63, 106]
Generated Node #2: [54, 63, 106] from Operation: 89+17=106
Current State: 97:[54, 63, 106], Operations: ['89+17=106']
Exploring Operation: 63-54=9, Resulting Numbers: [106, 9]
Generated Node #3: [106, 9] from Operation: 63-54=9
Current State: 97:[106, 9], Operations: ['89+17=106', '63-54=9']
Exploring Operation: 106-9=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
19,
42,
5,
10
] | 18 | [
"42-19=23",
"10-5=5",
"23-5=18"
] | Current State: 18:[19, 42, 5, 10], Operations: []
Exploring Operation: 42-19=23, Resulting Numbers: [5, 10, 23]
Generated Node #2: [5, 10, 23] from Operation: 42-19=23
Current State: 18:[5, 10, 23], Operations: ['42-19=23']
Exploring Operation: 10-5=5, Resulting Numbers: [23, 5]
Generated Node #3: [23, 5] from Operation: 10-5=5
Current State: 18:[23, 5], Operations: ['42-19=23', '10-5=5']
Exploring Operation: 23-5=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
30,
6,
96,
12
] | 54 | [
"30+96=126",
"6*12=72",
"126-72=54"
] | Current State: 54:[30, 6, 96, 12], Operations: []
Exploring Operation: 30+96=126, Resulting Numbers: [6, 12, 126]
Generated Node #2: [6, 12, 126] from Operation: 30+96=126
Current State: 54:[6, 12, 126], Operations: ['30+96=126']
Exploring Operation: 6*12=72, Resulting Numbers: [126, 72]
Generated Node #3: [126, 72] from Operation: 6*12=72
Current State: 54:[126, 72], Operations: ['30+96=126', '6*12=72']
Exploring Operation: 126-72=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
82,
46,
24,
5
] | 68 | [
"46+24=70",
"70/5=14",
"82-14=68"
] | Current State: 68:[82, 46, 24, 5], Operations: []
Exploring Operation: 46+24=70, Resulting Numbers: [82, 5, 70]
Generated Node #2: [82, 5, 70] from Operation: 46+24=70
Current State: 68:[82, 5, 70], Operations: ['46+24=70']
Exploring Operation: 70/5=14, Resulting Numbers: [82, 14]
Generated Node #3: [82, 14] from Operation: 70/5=14
Current State: 68:[82, 14], Operations: ['46+24=70', '70/5=14']
Exploring Operation: 82-14=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
12,
8,
52,
96
] | 13 | [
"8+52=60",
"96+60=156",
"156/12=13"
] | Current State: 13:[12, 8, 52, 96], Operations: []
Exploring Operation: 8+52=60, Resulting Numbers: [12, 96, 60]
Generated Node #2: [12, 96, 60] from Operation: 8+52=60
Current State: 13:[12, 96, 60], Operations: ['8+52=60']
Exploring Operation: 96+60=156, Resulting Numbers: [12, 156]
Generated Node #3: [12, 156] from Operation: 96+60=156
Current State: 13:[12, 156], Operations: ['8+52=60', '96+60=156']
Exploring Operation: 156/12=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
15,
16,
41,
37
] | 77 | [
"16-15=1",
"41+37=78",
"78-1=77"
] | Current State: 77:[15, 16, 41, 37], Operations: []
Exploring Operation: 16-15=1, Resulting Numbers: [41, 37, 1]
Generated Node #2: [41, 37, 1] from Operation: 16-15=1
Current State: 77:[41, 37, 1], Operations: ['16-15=1']
Exploring Operation: 41+37=78, Resulting Numbers: [1, 78]
Generated Node #3: [1, 78] from Operation: 41+37=78
Current State: 77:[1, 78], Operations: ['16-15=1', '41+37=78']
Exploring Operation: 78-1=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
35,
87,
50,
70
] | 35 | [
"87-35=52",
"52-50=2",
"70/2=35"
] | Current State: 35:[35, 87, 50, 70], Operations: []
Exploring Operation: 87-35=52, Resulting Numbers: [50, 70, 52]
Generated Node #2: [50, 70, 52] from Operation: 87-35=52
Current State: 35:[50, 70, 52], Operations: ['87-35=52']
Exploring Operation: 52-50=2, Resulting Numbers: [70, 2]
Generated Node #3: [70, 2] from Operation: 52-50=2
Current State: 35:[70, 2], Operations: ['87-35=52', '52-50=2']
Exploring Operation: 70/2=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
9,
88,
77,
84
] | 15 | [
"88-77=11",
"9*11=99",
"99-84=15"
] | Current State: 15:[9, 88, 77, 84], Operations: []
Exploring Operation: 88-77=11, Resulting Numbers: [9, 84, 11]
Generated Node #2: [9, 84, 11] from Operation: 88-77=11
Current State: 15:[9, 84, 11], Operations: ['88-77=11']
Exploring Operation: 9*11=99, Resulting Numbers: [84, 99]
Generated Node #3: [84, 99] from Operation: 9*11=99
Current State: 15:[84, 99], Operations: ['88-77=11', '9*11=99']
Exploring Operation: 99-84=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
84,
79,
58,
63
] | 42 | [
"84+79=163",
"58+63=121",
"163-121=42"
] | Current State: 42:[84, 79, 58, 63], Operations: []
Exploring Operation: 84+79=163, Resulting Numbers: [58, 63, 163]
Generated Node #2: [58, 63, 163] from Operation: 84+79=163
Current State: 42:[58, 63, 163], Operations: ['84+79=163']
Exploring Operation: 58+63=121, Resulting Numbers: [163, 121]
Generated Node #3: [163, 121] from Operation: 58+63=121
Current State: 42:[163, 121], Operations: ['84+79=163', '58+63=121']
Exploring Operation: 163-121=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
92,
85,
6,
96
] | 83 | [
"92-85=7",
"96-6=90",
"90-7=83"
] | Current State: 83:[92, 85, 6, 96], Operations: []
Exploring Operation: 92-85=7, Resulting Numbers: [6, 96, 7]
Generated Node #2: [6, 96, 7] from Operation: 92-85=7
Current State: 83:[6, 96, 7], Operations: ['92-85=7']
Exploring Operation: 96-6=90, Resulting Numbers: [7, 90]
Generated Node #3: [7, 90] from Operation: 96-6=90
Current State: 83:[7, 90], Operations: ['92-85=7', '96-6=90']
Exploring Operation: 90-7=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
95,
10,
25,
9
] | 30 | [
"95+25=120",
"10*9=90",
"120-90=30"
] | Current State: 30:[95, 10, 25, 9], Operations: []
Exploring Operation: 95+25=120, Resulting Numbers: [10, 9, 120]
Generated Node #2: [10, 9, 120] from Operation: 95+25=120
Current State: 30:[10, 9, 120], Operations: ['95+25=120']
Exploring Operation: 10*9=90, Resulting Numbers: [120, 90]
Generated Node #3: [120, 90] from Operation: 10*9=90
Current State: 30:[120, 90], Operations: ['95+25=120', '10*9=90']
Exploring Operation: 120-90=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
83,
95,
8,
77
] | 93 | [
"83+95=178",
"8+77=85",
"178-85=93"
] | Current State: 93:[83, 95, 8, 77], Operations: []
Exploring Operation: 83+95=178, Resulting Numbers: [8, 77, 178]
Generated Node #2: [8, 77, 178] from Operation: 83+95=178
Current State: 93:[8, 77, 178], Operations: ['83+95=178']
Exploring Operation: 8+77=85, Resulting Numbers: [178, 85]
Generated Node #3: [178, 85] from Operation: 8+77=85
Current State: 93:[178, 85], Operations: ['83+95=178', '8+77=85']
Exploring Operation: 178-85=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
67,
73,
12,
74
] | 68 | [
"73-67=6",
"74-12=62",
"6+62=68"
] | Current State: 68:[67, 73, 12, 74], Operations: []
Exploring Operation: 73-67=6, Resulting Numbers: [12, 74, 6]
Generated Node #2: [12, 74, 6] from Operation: 73-67=6
Current State: 68:[12, 74, 6], Operations: ['73-67=6']
Exploring Operation: 74-12=62, Resulting Numbers: [6, 62]
Generated Node #3: [6, 62] from Operation: 74-12=62
Current State: 68:[6, 62], Operations: ['73-67=6', '74-12=62']
Exploring Operation: 6+62=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
23,
12,
66,
5
] | 30 | [
"23-12=11",
"66*5=330",
"330/11=30"
] | Current State: 30:[23, 12, 66, 5], Operations: []
Exploring Operation: 23-12=11, Resulting Numbers: [66, 5, 11]
Generated Node #2: [66, 5, 11] from Operation: 23-12=11
Current State: 30:[66, 5, 11], Operations: ['23-12=11']
Exploring Operation: 66*5=330, Resulting Numbers: [11, 330]
Generated Node #3: [11, 330] from Operation: 66*5=330
Current State: 30:[11, 330], Operations: ['23-12=11', '66*5=330']
Exploring Operation: 330/11=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
16,
26,
16,
89
] | 71 | [
"26-16=10",
"16*10=160",
"160-89=71"
] | Current State: 71:[16, 26, 16, 89], Operations: []
Exploring Operation: 26-16=10, Resulting Numbers: [89, 10]
Generated Node #2: [89, 10] from Operation: 26-16=10
Current State: 71:[89, 10], Operations: ['26-16=10']
Exploring Operation: 16*10=160, Resulting Numbers: [89, 160]
Generated Node #3: [89, 160] from Operation: 16*10=160
Current State: 71:[89, 160], Operations: ['26-16=10', '16*10=160']
Exploring Operation: 160-89=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
48,
60,
62,
50
] | 32 | [
"50-48=2",
"60/2=30",
"62-30=32"
] | Current State: 32:[48, 60, 62, 50], Operations: []
Exploring Operation: 50-48=2, Resulting Numbers: [60, 62, 2]
Generated Node #2: [60, 62, 2] from Operation: 50-48=2
Current State: 32:[60, 62, 2], Operations: ['50-48=2']
Exploring Operation: 60/2=30, Resulting Numbers: [62, 30]
Generated Node #3: [62, 30] from Operation: 60/2=30
Current State: 32:[62, 30], Operations: ['50-48=2', '60/2=30']
Exploring Operation: 62-30=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
90,
1,
4,
71
] | 22 | [
"90-1=89",
"71-4=67",
"89-67=22"
] | Current State: 22:[90, 1, 4, 71], Operations: []
Exploring Operation: 90-1=89, Resulting Numbers: [4, 71, 89]
Generated Node #2: [4, 71, 89] from Operation: 90-1=89
Current State: 22:[4, 71, 89], Operations: ['90-1=89']
Exploring Operation: 71-4=67, Resulting Numbers: [89, 67]
Generated Node #3: [89, 67] from Operation: 71-4=67
Current State: 22:[89, 67], Operations: ['90-1=89', '71-4=67']
Exploring Operation: 89-67=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
60,
92,
83,
40
] | 29 | [
"60+92=152",
"83+40=123",
"152-123=29"
] | Current State: 29:[60, 92, 83, 40], Operations: []
Exploring Operation: 60+92=152, Resulting Numbers: [83, 40, 152]
Generated Node #2: [83, 40, 152] from Operation: 60+92=152
Current State: 29:[83, 40, 152], Operations: ['60+92=152']
Exploring Operation: 83+40=123, Resulting Numbers: [152, 123]
Generated Node #3: [152, 123] from Operation: 83+40=123
Current State: 29:[152, 123], Operations: ['60+92=152', '83+40=123']
Exploring Operation: 152-123=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
83,
72,
79,
69
] | 21 | [
"83-72=11",
"79-69=10",
"11+10=21"
] | Current State: 21:[83, 72, 79, 69], Operations: []
Exploring Operation: 83-72=11, Resulting Numbers: [79, 69, 11]
Generated Node #2: [79, 69, 11] from Operation: 83-72=11
Current State: 21:[79, 69, 11], Operations: ['83-72=11']
Exploring Operation: 79-69=10, Resulting Numbers: [11, 10]
Generated Node #3: [11, 10] from Operation: 79-69=10
Current State: 21:[11, 10], Operations: ['83-72=11', '79-69=10']
Exploring Operation: 11+10=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
1,
34,
99,
89
] | 43 | [
"34-1=33",
"99-89=10",
"33+10=43"
] | Current State: 43:[1, 34, 99, 89], Operations: []
Exploring Operation: 34-1=33, Resulting Numbers: [99, 89, 33]
Generated Node #2: [99, 89, 33] from Operation: 34-1=33
Current State: 43:[99, 89, 33], Operations: ['34-1=33']
Exploring Operation: 99-89=10, Resulting Numbers: [33, 10]
Generated Node #3: [33, 10] from Operation: 99-89=10
Current State: 43:[33, 10], Operations: ['34-1=33', '99-89=10']
Exploring Operation: 33+10=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
95,
96,
87,
54
] | 50 | [
"95+96=191",
"87+54=141",
"191-141=50"
] | Current State: 50:[95, 96, 87, 54], Operations: []
Exploring Operation: 95+96=191, Resulting Numbers: [87, 54, 191]
Generated Node #2: [87, 54, 191] from Operation: 95+96=191
Current State: 50:[87, 54, 191], Operations: ['95+96=191']
Exploring Operation: 87+54=141, Resulting Numbers: [191, 141]
Generated Node #3: [191, 141] from Operation: 87+54=141
Current State: 50:[191, 141], Operations: ['95+96=191', '87+54=141']
Exploring Operation: 191-141=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
68,
45,
34,
68
] | 43 | [
"68-34=34",
"68/34=2",
"45-2=43"
] | Current State: 43:[68, 45, 34, 68], Operations: []
Exploring Operation: 68-34=34, Resulting Numbers: [45, 34]
Generated Node #2: [45, 34] from Operation: 68-34=34
Current State: 43:[45, 34], Operations: ['68-34=34']
Exploring Operation: 68/34=2, Resulting Numbers: [45, 2]
Generated Node #3: [45, 2] from Operation: 68/34=2
Current State: 43:[45, 2], Operations: ['68-34=34', '68/34=2']
Exploring Operation: 45-2=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
49,
5,
86,
40
] | 13 | [
"49+86=135",
"135/5=27",
"40-27=13"
] | Current State: 13:[49, 5, 86, 40], Operations: []
Exploring Operation: 49+86=135, Resulting Numbers: [5, 40, 135]
Generated Node #2: [5, 40, 135] from Operation: 49+86=135
Current State: 13:[5, 40, 135], Operations: ['49+86=135']
Exploring Operation: 135/5=27, Resulting Numbers: [40, 27]
Generated Node #3: [40, 27] from Operation: 135/5=27
Current State: 13:[40, 27], Operations: ['49+86=135', '135/5=27']
Exploring Operation: 40-27=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
66,
35,
57,
60
] | 63 | [
"57-35=22",
"66/22=3",
"60+3=63"
] | Current State: 63:[66, 35, 57, 60], Operations: []
Exploring Operation: 57-35=22, Resulting Numbers: [66, 60, 22]
Generated Node #2: [66, 60, 22] from Operation: 57-35=22
Current State: 63:[66, 60, 22], Operations: ['57-35=22']
Exploring Operation: 66/22=3, Resulting Numbers: [60, 3]
Generated Node #3: [60, 3] from Operation: 66/22=3
Current State: 63:[60, 3], Operations: ['57-35=22', '66/22=3']
Exploring Operation: 60+3=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
69,
84,
32,
77
] | 94 | [
"84-69=15",
"32+77=109",
"109-15=94"
] | Current State: 94:[69, 84, 32, 77], Operations: []
Exploring Operation: 84-69=15, Resulting Numbers: [32, 77, 15]
Generated Node #2: [32, 77, 15] from Operation: 84-69=15
Current State: 94:[32, 77, 15], Operations: ['84-69=15']
Exploring Operation: 32+77=109, Resulting Numbers: [15, 109]
Generated Node #3: [15, 109] from Operation: 32+77=109
Current State: 94:[15, 109], Operations: ['84-69=15', '32+77=109']
Exploring Operation: 109-15=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
10,
34,
12,
84
] | 42 | [
"34-10=24",
"12*84=1008",
"1008/24=42"
] | Current State: 42:[10, 34, 12, 84], Operations: []
Exploring Operation: 34-10=24, Resulting Numbers: [12, 84, 24]
Generated Node #2: [12, 84, 24] from Operation: 34-10=24
Current State: 42:[12, 84, 24], Operations: ['34-10=24']
Exploring Operation: 12*84=1008, Resulting Numbers: [24, 1008]
Generated Node #3: [24, 1008] from Operation: 12*84=1008
Current State: 42:[24, 1008], Operations: ['34-10=24', '12*84=1008']
Exploring Operation: 1008/24=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
50,
13,
13,
43
] | 33 | [
"50+13=63",
"43-13=30",
"63-30=33"
] | Current State: 33:[50, 13, 13, 43], Operations: []
Exploring Operation: 50+13=63, Resulting Numbers: [43, 63]
Generated Node #2: [43, 63] from Operation: 50+13=63
Current State: 33:[43, 63], Operations: ['50+13=63']
Exploring Operation: 43-13=30, Resulting Numbers: [63, 30]
Generated Node #3: [63, 30] from Operation: 43-13=30
Current State: 33:[63, 30], Operations: ['50+13=63', '43-13=30']
Exploring Operation: 63-30=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
96,
6,
57,
8
] | 55 | [
"96/6=16",
"16/8=2",
"57-2=55"
] | Current State: 55:[96, 6, 57, 8], Operations: []
Exploring Operation: 96/6=16, Resulting Numbers: [57, 8, 16]
Generated Node #2: [57, 8, 16] from Operation: 96/6=16
Current State: 55:[57, 8, 16], Operations: ['96/6=16']
Exploring Operation: 16/8=2, Resulting Numbers: [57, 2]
Generated Node #3: [57, 2] from Operation: 16/8=2
Current State: 55:[57, 2], Operations: ['96/6=16', '16/8=2']
Exploring Operation: 57-2=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
5,
16,
76,
49
] | 53 | [
"5*16=80",
"76-49=27",
"80-27=53"
] | Current State: 53:[5, 16, 76, 49], Operations: []
Exploring Operation: 5*16=80, Resulting Numbers: [76, 49, 80]
Generated Node #2: [76, 49, 80] from Operation: 5*16=80
Current State: 53:[76, 49, 80], Operations: ['5*16=80']
Exploring Operation: 76-49=27, Resulting Numbers: [80, 27]
Generated Node #3: [80, 27] from Operation: 76-49=27
Current State: 53:[80, 27], Operations: ['5*16=80', '76-49=27']
Exploring Operation: 80-27=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
17,
35,
16,
15
] | 77 | [
"17+16=33",
"35*33=1155",
"1155/15=77"
] | Current State: 77:[17, 35, 16, 15], Operations: []
Exploring Operation: 17+16=33, Resulting Numbers: [35, 15, 33]
Generated Node #2: [35, 15, 33] from Operation: 17+16=33
Current State: 77:[35, 15, 33], Operations: ['17+16=33']
Exploring Operation: 35*33=1155, Resulting Numbers: [15, 1155]
Generated Node #3: [15, 1155] from Operation: 35*33=1155
Current State: 77:[15, 1155], Operations: ['17+16=33', '35*33=1155']
Exploring Operation: 1155/15=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
94,
85,
15,
59
] | 76 | [
"94-85=9",
"15*9=135",
"135-59=76"
] | Current State: 76:[94, 85, 15, 59], Operations: []
Exploring Operation: 94-85=9, Resulting Numbers: [15, 59, 9]
Generated Node #2: [15, 59, 9] from Operation: 94-85=9
Current State: 76:[15, 59, 9], Operations: ['94-85=9']
Exploring Operation: 15*9=135, Resulting Numbers: [59, 135]
Generated Node #3: [59, 135] from Operation: 15*9=135
Current State: 76:[59, 135], Operations: ['94-85=9', '15*9=135']
Exploring Operation: 135-59=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
12,
58,
7,
60
] | 31 | [
"60-58=2",
"12*2=24",
"7+24=31"
] | Current State: 31:[12, 58, 7, 60], Operations: []
Exploring Operation: 60-58=2, Resulting Numbers: [12, 7, 2]
Generated Node #2: [12, 7, 2] from Operation: 60-58=2
Current State: 31:[12, 7, 2], Operations: ['60-58=2']
Exploring Operation: 12*2=24, Resulting Numbers: [7, 24]
Generated Node #3: [7, 24] from Operation: 12*2=24
Current State: 31:[7, 24], Operations: ['60-58=2', '12*2=24']
Exploring Operation: 7+24=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
11,
40,
62,
28
] | 56 | [
"62-40=22",
"22/11=2",
"28*2=56"
] | Current State: 56:[11, 40, 62, 28], Operations: []
Exploring Operation: 62-40=22, Resulting Numbers: [11, 28, 22]
Generated Node #2: [11, 28, 22] from Operation: 62-40=22
Current State: 56:[11, 28, 22], Operations: ['62-40=22']
Exploring Operation: 22/11=2, Resulting Numbers: [28, 2]
Generated Node #3: [28, 2] from Operation: 22/11=2
Current State: 56:[28, 2], Operations: ['62-40=22', '22/11=2']
Exploring Operation: 28*2=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
10,
66,
11,
55
] | 56 | [
"10*55=550",
"66+550=616",
"616/11=56"
] | Current State: 56:[10, 66, 11, 55], Operations: []
Exploring Operation: 10*55=550, Resulting Numbers: [66, 11, 550]
Generated Node #2: [66, 11, 550] from Operation: 10*55=550
Current State: 56:[66, 11, 550], Operations: ['10*55=550']
Exploring Operation: 66+550=616, Resulting Numbers: [11, 616]
Generated Node #3: [11, 616] from Operation: 66+550=616
Current State: 56:[11, 616], Operations: ['10*55=550', '66+550=616']
Exploring Operation: 616/11=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
46,
80,
62,
3
] | 84 | [
"80-46=34",
"62-34=28",
"3*28=84"
] | Current State: 84:[46, 80, 62, 3], Operations: []
Exploring Operation: 80-46=34, Resulting Numbers: [62, 3, 34]
Generated Node #2: [62, 3, 34] from Operation: 80-46=34
Current State: 84:[62, 3, 34], Operations: ['80-46=34']
Exploring Operation: 62-34=28, Resulting Numbers: [3, 28]
Generated Node #3: [3, 28] from Operation: 62-34=28
Current State: 84:[3, 28], Operations: ['80-46=34', '62-34=28']
Exploring Operation: 3*28=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
2,
31,
47,
85
] | 11 | [
"31+85=116",
"116/2=58",
"58-47=11"
] | Current State: 11:[2, 31, 47, 85], Operations: []
Exploring Operation: 31+85=116, Resulting Numbers: [2, 47, 116]
Generated Node #2: [2, 47, 116] from Operation: 31+85=116
Current State: 11:[2, 47, 116], Operations: ['31+85=116']
Exploring Operation: 116/2=58, Resulting Numbers: [47, 58]
Generated Node #3: [47, 58] from Operation: 116/2=58
Current State: 11:[47, 58], Operations: ['31+85=116', '116/2=58']
Exploring Operation: 58-47=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
67,
73,
73,
62
] | 67 | [
"73-73=0",
"62*0=0",
"67+0=67"
] | Current State: 67:[67, 73, 73, 62], Operations: []
Exploring Operation: 73-73=0, Resulting Numbers: [67, 62, 0]
Generated Node #2: [67, 62, 0] from Operation: 73-73=0
Current State: 67:[67, 62, 0], Operations: ['73-73=0']
Exploring Operation: 62*0=0, Resulting Numbers: [67, 0]
Generated Node #3: [67, 0] from Operation: 62*0=0
Current State: 67:[67, 0], Operations: ['73-73=0', '62*0=0']
Exploring Operation: 67+0=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
69,
2,
44,
11
] | 100 | [
"69-2=67",
"44-11=33",
"67+33=100"
] | Current State: 100:[69, 2, 44, 11], Operations: []
Exploring Operation: 69-2=67, Resulting Numbers: [44, 11, 67]
Generated Node #2: [44, 11, 67] from Operation: 69-2=67
Current State: 100:[44, 11, 67], Operations: ['69-2=67']
Exploring Operation: 44-11=33, Resulting Numbers: [67, 33]
Generated Node #3: [67, 33] from Operation: 44-11=33
Current State: 100:[67, 33], Operations: ['69-2=67', '44-11=33']
Exploring Operation: 67+33=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
90,
23,
77,
89
] | 100 | [
"90-89=1",
"23+77=100",
"1*100=100"
] | Current State: 100:[90, 23, 77, 89], Operations: []
Exploring Operation: 90-89=1, Resulting Numbers: [23, 77, 1]
Generated Node #2: [23, 77, 1] from Operation: 90-89=1
Current State: 100:[23, 77, 1], Operations: ['90-89=1']
Exploring Operation: 23+77=100, Resulting Numbers: [1, 100]
Generated Node #3: [1, 100] from Operation: 23+77=100
Current State: 100:[1, 100], Operations: ['90-89=1', '23+77=100']
Exploring Operation: 1*100=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
16,
44,
4,
36
] | 88 | [
"36-4=32",
"32/16=2",
"44*2=88"
] | Current State: 88:[16, 44, 4, 36], Operations: []
Exploring Operation: 36-4=32, Resulting Numbers: [16, 44, 32]
Generated Node #2: [16, 44, 32] from Operation: 36-4=32
Current State: 88:[16, 44, 32], Operations: ['36-4=32']
Exploring Operation: 32/16=2, Resulting Numbers: [44, 2]
Generated Node #3: [44, 2] from Operation: 32/16=2
Current State: 88:[44, 2], Operations: ['36-4=32', '32/16=2']
Exploring Operation: 44*2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
44,
53,
24,
47
] | 28 | [
"53*24=1272",
"44+1272=1316",
"1316/47=28"
] | Current State: 28:[44, 53, 24, 47], Operations: []
Exploring Operation: 53*24=1272, Resulting Numbers: [44, 47, 1272]
Generated Node #2: [44, 47, 1272] from Operation: 53*24=1272
Current State: 28:[44, 47, 1272], Operations: ['53*24=1272']
Exploring Operation: 44+1272=1316, Resulting Numbers: [47, 1316]
Generated Node #3: [47, 1316] from Operation: 44+1272=1316
Current State: 28:[47, 1316], Operations: ['53*24=1272', '44+1272=1316']
Exploring Operation: 1316/47=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
7,
18,
44,
67
] | 63 | [
"18-7=11",
"44/11=4",
"67-4=63"
] | Current State: 63:[7, 18, 44, 67], Operations: []
Exploring Operation: 18-7=11, Resulting Numbers: [44, 67, 11]
Generated Node #2: [44, 67, 11] from Operation: 18-7=11
Current State: 63:[44, 67, 11], Operations: ['18-7=11']
Exploring Operation: 44/11=4, Resulting Numbers: [67, 4]
Generated Node #3: [67, 4] from Operation: 44/11=4
Current State: 63:[67, 4], Operations: ['18-7=11', '44/11=4']
Exploring Operation: 67-4=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
17,
23,
55,
16
] | 45 | [
"23-17=6",
"55-16=39",
"6+39=45"
] | Current State: 45:[17, 23, 55, 16], Operations: []
Exploring Operation: 23-17=6, Resulting Numbers: [55, 16, 6]
Generated Node #2: [55, 16, 6] from Operation: 23-17=6
Current State: 45:[55, 16, 6], Operations: ['23-17=6']
Exploring Operation: 55-16=39, Resulting Numbers: [6, 39]
Generated Node #3: [6, 39] from Operation: 55-16=39
Current State: 45:[6, 39], Operations: ['23-17=6', '55-16=39']
Exploring Operation: 6+39=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
25,
11,
9,
17
] | 63 | [
"17-9=8",
"11*8=88",
"88-25=63"
] | Current State: 63:[25, 11, 9, 17], Operations: []
Exploring Operation: 17-9=8, Resulting Numbers: [25, 11, 8]
Generated Node #2: [25, 11, 8] from Operation: 17-9=8
Current State: 63:[25, 11, 8], Operations: ['17-9=8']
Exploring Operation: 11*8=88, Resulting Numbers: [25, 88]
Generated Node #3: [25, 88] from Operation: 11*8=88
Current State: 63:[25, 88], Operations: ['17-9=8', '11*8=88']
Exploring Operation: 88-25=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
51,
67,
11,
5
] | 75 | [
"51-11=40",
"40/5=8",
"67+8=75"
] | Current State: 75:[51, 67, 11, 5], Operations: []
Exploring Operation: 51-11=40, Resulting Numbers: [67, 5, 40]
Generated Node #2: [67, 5, 40] from Operation: 51-11=40
Current State: 75:[67, 5, 40], Operations: ['51-11=40']
Exploring Operation: 40/5=8, Resulting Numbers: [67, 8]
Generated Node #3: [67, 8] from Operation: 40/5=8
Current State: 75:[67, 8], Operations: ['51-11=40', '40/5=8']
Exploring Operation: 67+8=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
3,
91,
15,
7
] | 35 | [
"3+15=18",
"7*18=126",
"126-91=35"
] | Current State: 35:[3, 91, 15, 7], Operations: []
Exploring Operation: 3+15=18, Resulting Numbers: [91, 7, 18]
Generated Node #2: [91, 7, 18] from Operation: 3+15=18
Current State: 35:[91, 7, 18], Operations: ['3+15=18']
Exploring Operation: 7*18=126, Resulting Numbers: [91, 126]
Generated Node #3: [91, 126] from Operation: 7*18=126
Current State: 35:[91, 126], Operations: ['3+15=18', '7*18=126']
Exploring Operation: 126-91=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
97,
67,
23,
14
] | 98 | [
"97-67=30",
"30-23=7",
"14*7=98"
] | Current State: 98:[97, 67, 23, 14], Operations: []
Exploring Operation: 97-67=30, Resulting Numbers: [23, 14, 30]
Generated Node #2: [23, 14, 30] from Operation: 97-67=30
Current State: 98:[23, 14, 30], Operations: ['97-67=30']
Exploring Operation: 30-23=7, Resulting Numbers: [14, 7]
Generated Node #3: [14, 7] from Operation: 30-23=7
Current State: 98:[14, 7], Operations: ['97-67=30', '30-23=7']
Exploring Operation: 14*7=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
31,
35,
3,
5
] | 47 | [
"31+5=36",
"36/3=12",
"35+12=47"
] | Current State: 47:[31, 35, 3, 5], Operations: []
Exploring Operation: 31+5=36, Resulting Numbers: [35, 3, 36]
Generated Node #2: [35, 3, 36] from Operation: 31+5=36
Current State: 47:[35, 3, 36], Operations: ['31+5=36']
Exploring Operation: 36/3=12, Resulting Numbers: [35, 12]
Generated Node #3: [35, 12] from Operation: 36/3=12
Current State: 47:[35, 12], Operations: ['31+5=36', '36/3=12']
Exploring Operation: 35+12=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
74,
55,
46,
94
] | 29 | [
"74-55=19",
"94-46=48",
"48-19=29"
] | Current State: 29:[74, 55, 46, 94], Operations: []
Exploring Operation: 74-55=19, Resulting Numbers: [46, 94, 19]
Generated Node #2: [46, 94, 19] from Operation: 74-55=19
Current State: 29:[46, 94, 19], Operations: ['74-55=19']
Exploring Operation: 94-46=48, Resulting Numbers: [19, 48]
Generated Node #3: [19, 48] from Operation: 94-46=48
Current State: 29:[19, 48], Operations: ['74-55=19', '94-46=48']
Exploring Operation: 48-19=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
64,
12,
45,
43
] | 12 | [
"64+12=76",
"45+43=88",
"88-76=12"
] | Current State: 12:[64, 12, 45, 43], Operations: []
Exploring Operation: 64+12=76, Resulting Numbers: [45, 43, 76]
Generated Node #2: [45, 43, 76] from Operation: 64+12=76
Current State: 12:[45, 43, 76], Operations: ['64+12=76']
Exploring Operation: 45+43=88, Resulting Numbers: [76, 88]
Generated Node #3: [76, 88] from Operation: 45+43=88
Current State: 12:[76, 88], Operations: ['64+12=76', '45+43=88']
Exploring Operation: 88-76=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
22,
86,
33,
78
] | 47 | [
"86-22=64",
"33+78=111",
"111-64=47"
] | Current State: 47:[22, 86, 33, 78], Operations: []
Exploring Operation: 86-22=64, Resulting Numbers: [33, 78, 64]
Generated Node #2: [33, 78, 64] from Operation: 86-22=64
Current State: 47:[33, 78, 64], Operations: ['86-22=64']
Exploring Operation: 33+78=111, Resulting Numbers: [64, 111]
Generated Node #3: [64, 111] from Operation: 33+78=111
Current State: 47:[64, 111], Operations: ['86-22=64', '33+78=111']
Exploring Operation: 111-64=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
10,
34,
1,
2
] | 56 | [
"10+1=11",
"2*11=22",
"34+22=56"
] | Current State: 56:[10, 34, 1, 2], Operations: []
Exploring Operation: 10+1=11, Resulting Numbers: [34, 2, 11]
Generated Node #2: [34, 2, 11] from Operation: 10+1=11
Current State: 56:[34, 2, 11], Operations: ['10+1=11']
Exploring Operation: 2*11=22, Resulting Numbers: [34, 22]
Generated Node #3: [34, 22] from Operation: 2*11=22
Current State: 56:[34, 22], Operations: ['10+1=11', '2*11=22']
Exploring Operation: 34+22=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
63,
99,
2,
88
] | 61 | [
"63*2=126",
"99+88=187",
"187-126=61"
] | Current State: 61:[63, 99, 2, 88], Operations: []
Exploring Operation: 63*2=126, Resulting Numbers: [99, 88, 126]
Generated Node #2: [99, 88, 126] from Operation: 63*2=126
Current State: 61:[99, 88, 126], Operations: ['63*2=126']
Exploring Operation: 99+88=187, Resulting Numbers: [126, 187]
Generated Node #3: [126, 187] from Operation: 99+88=187
Current State: 61:[126, 187], Operations: ['63*2=126', '99+88=187']
Exploring Operation: 187-126=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
8,
36,
72,
7
] | 52 | [
"72/8=9",
"36+7=43",
"9+43=52"
] | Current State: 52:[8, 36, 72, 7], Operations: []
Exploring Operation: 72/8=9, Resulting Numbers: [36, 7, 9]
Generated Node #2: [36, 7, 9] from Operation: 72/8=9
Current State: 52:[36, 7, 9], Operations: ['72/8=9']
Exploring Operation: 36+7=43, Resulting Numbers: [9, 43]
Generated Node #3: [9, 43] from Operation: 36+7=43
Current State: 52:[9, 43], Operations: ['72/8=9', '36+7=43']
Exploring Operation: 9+43=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
2,
22,
19,
31
] | 11 | [
"2+31=33",
"22-19=3",
"33/3=11"
] | Current State: 11:[2, 22, 19, 31], Operations: []
Exploring Operation: 2+31=33, Resulting Numbers: [22, 19, 33]
Generated Node #2: [22, 19, 33] from Operation: 2+31=33
Current State: 11:[22, 19, 33], Operations: ['2+31=33']
Exploring Operation: 22-19=3, Resulting Numbers: [33, 3]
Generated Node #3: [33, 3] from Operation: 22-19=3
Current State: 11:[33, 3], Operations: ['2+31=33', '22-19=3']
Exploring Operation: 33/3=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
23,
51,
22,
2
] | 25 | [
"51-23=28",
"22+28=50",
"50/2=25"
] | Current State: 25:[23, 51, 22, 2], Operations: []
Exploring Operation: 51-23=28, Resulting Numbers: [22, 2, 28]
Generated Node #2: [22, 2, 28] from Operation: 51-23=28
Current State: 25:[22, 2, 28], Operations: ['51-23=28']
Exploring Operation: 22+28=50, Resulting Numbers: [2, 50]
Generated Node #3: [2, 50] from Operation: 22+28=50
Current State: 25:[2, 50], Operations: ['51-23=28', '22+28=50']
Exploring Operation: 50/2=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
14,
64,
13,
96
] | 31 | [
"14+64=78",
"13+96=109",
"109-78=31"
] | Current State: 31:[14, 64, 13, 96], Operations: []
Exploring Operation: 14+64=78, Resulting Numbers: [13, 96, 78]
Generated Node #2: [13, 96, 78] from Operation: 14+64=78
Current State: 31:[13, 96, 78], Operations: ['14+64=78']
Exploring Operation: 13+96=109, Resulting Numbers: [78, 109]
Generated Node #3: [78, 109] from Operation: 13+96=109
Current State: 31:[78, 109], Operations: ['14+64=78', '13+96=109']
Exploring Operation: 109-78=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
75,
35,
36,
41
] | 65 | [
"75*36=2700",
"2700-35=2665",
"2665/41=65"
] | Current State: 65:[75, 35, 36, 41], Operations: []
Exploring Operation: 75*36=2700, Resulting Numbers: [35, 41, 2700]
Generated Node #2: [35, 41, 2700] from Operation: 75*36=2700
Current State: 65:[35, 41, 2700], Operations: ['75*36=2700']
Exploring Operation: 2700-35=2665, Resulting Numbers: [41, 2665]
Generated Node #3: [41, 2665] from Operation: 2700-35=2665
Current State: 65:[41, 2665], Operations: ['75*36=2700', '2700-35=2665']
Exploring Operation: 2665/41=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
45,
4,
33,
78
] | 94 | [
"45+4=49",
"78-33=45",
"49+45=94"
] | Current State: 94:[45, 4, 33, 78], Operations: []
Exploring Operation: 45+4=49, Resulting Numbers: [33, 78, 49]
Generated Node #2: [33, 78, 49] from Operation: 45+4=49
Current State: 94:[33, 78, 49], Operations: ['45+4=49']
Exploring Operation: 78-33=45, Resulting Numbers: [49, 45]
Generated Node #3: [49, 45] from Operation: 78-33=45
Current State: 94:[49, 45], Operations: ['45+4=49', '78-33=45']
Exploring Operation: 49+45=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
58,
14,
3,
58
] | 74 | [
"58-14=44",
"3*44=132",
"132-58=74"
] | Current State: 74:[58, 14, 3, 58], Operations: []
Exploring Operation: 58-14=44, Resulting Numbers: [3, 44]
Generated Node #2: [3, 44] from Operation: 58-14=44
Current State: 74:[3, 44], Operations: ['58-14=44']
Exploring Operation: 3*44=132, Resulting Numbers: [132]
132,74 equal: Goal Reached
Exploring Operation: 132-58=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
89,
21,
95,
93
] | 11 | [
"93-89=4",
"21*4=84",
"95-84=11"
] | Current State: 11:[89, 21, 95, 93], Operations: []
Exploring Operation: 93-89=4, Resulting Numbers: [21, 95, 4]
Generated Node #2: [21, 95, 4] from Operation: 93-89=4
Current State: 11:[21, 95, 4], Operations: ['93-89=4']
Exploring Operation: 21*4=84, Resulting Numbers: [95, 84]
Generated Node #3: [95, 84] from Operation: 21*4=84
Current State: 11:[95, 84], Operations: ['93-89=4', '21*4=84']
Exploring Operation: 95-84=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
83,
34,
56,
37
] | 30 | [
"83-34=49",
"56-37=19",
"49-19=30"
] | Current State: 30:[83, 34, 56, 37], Operations: []
Exploring Operation: 83-34=49, Resulting Numbers: [56, 37, 49]
Generated Node #2: [56, 37, 49] from Operation: 83-34=49
Current State: 30:[56, 37, 49], Operations: ['83-34=49']
Exploring Operation: 56-37=19, Resulting Numbers: [49, 19]
Generated Node #3: [49, 19] from Operation: 56-37=19
Current State: 30:[49, 19], Operations: ['83-34=49', '56-37=19']
Exploring Operation: 49-19=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
50,
16,
41,
12
] | 37 | [
"50+16=66",
"41-12=29",
"66-29=37"
] | Current State: 37:[50, 16, 41, 12], Operations: []
Exploring Operation: 50+16=66, Resulting Numbers: [41, 12, 66]
Generated Node #2: [41, 12, 66] from Operation: 50+16=66
Current State: 37:[41, 12, 66], Operations: ['50+16=66']
Exploring Operation: 41-12=29, Resulting Numbers: [66, 29]
Generated Node #3: [66, 29] from Operation: 41-12=29
Current State: 37:[66, 29], Operations: ['50+16=66', '41-12=29']
Exploring Operation: 66-29=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
2,
98,
20,
64
] | 91 | [
"98+20=118",
"64+118=182",
"182/2=91"
] | Current State: 91:[2, 98, 20, 64], Operations: []
Exploring Operation: 98+20=118, Resulting Numbers: [2, 64, 118]
Generated Node #2: [2, 64, 118] from Operation: 98+20=118
Current State: 91:[2, 64, 118], Operations: ['98+20=118']
Exploring Operation: 64+118=182, Resulting Numbers: [2, 182]
Generated Node #3: [2, 182] from Operation: 64+118=182
Current State: 91:[2, 182], Operations: ['98+20=118', '64+118=182']
Exploring Operation: 182/2=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
4,
6,
7,
4
] | 41 | [
"4+4=8",
"6*8=48",
"48-7=41"
] | Current State: 41:[4, 6, 7, 4], Operations: []
Exploring Operation: 4+4=8, Resulting Numbers: [6, 7, 8]
Generated Node #2: [6, 7, 8] from Operation: 4+4=8
Current State: 41:[6, 7, 8], Operations: ['4+4=8']
Exploring Operation: 6*8=48, Resulting Numbers: [7, 48]
Generated Node #3: [7, 48] from Operation: 6*8=48
Current State: 41:[7, 48], Operations: ['4+4=8', '6*8=48']
Exploring Operation: 48-7=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
68,
23,
15,
8
] | 27 | [
"68-8=60",
"60/15=4",
"23+4=27"
] | Current State: 27:[68, 23, 15, 8], Operations: []
Exploring Operation: 68-8=60, Resulting Numbers: [23, 15, 60]
Generated Node #2: [23, 15, 60] from Operation: 68-8=60
Current State: 27:[23, 15, 60], Operations: ['68-8=60']
Exploring Operation: 60/15=4, Resulting Numbers: [23, 4]
Generated Node #3: [23, 4] from Operation: 60/15=4
Current State: 27:[23, 4], Operations: ['68-8=60', '60/15=4']
Exploring Operation: 23+4=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
18,
5,
40,
23
] | 73 | [
"18*5=90",
"40-23=17",
"90-17=73"
] | Current State: 73:[18, 5, 40, 23], Operations: []
Exploring Operation: 18*5=90, Resulting Numbers: [40, 23, 90]
Generated Node #2: [40, 23, 90] from Operation: 18*5=90
Current State: 73:[40, 23, 90], Operations: ['18*5=90']
Exploring Operation: 40-23=17, Resulting Numbers: [90, 17]
Generated Node #3: [90, 17] from Operation: 40-23=17
Current State: 73:[90, 17], Operations: ['18*5=90', '40-23=17']
Exploring Operation: 90-17=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
17,
45,
79,
35
] | 91 | [
"45-35=10",
"17*10=170",
"170-79=91"
] | Current State: 91:[17, 45, 79, 35], Operations: []
Exploring Operation: 45-35=10, Resulting Numbers: [17, 79, 10]
Generated Node #2: [17, 79, 10] from Operation: 45-35=10
Current State: 91:[17, 79, 10], Operations: ['45-35=10']
Exploring Operation: 17*10=170, Resulting Numbers: [79, 170]
Generated Node #3: [79, 170] from Operation: 17*10=170
Current State: 91:[79, 170], Operations: ['45-35=10', '17*10=170']
Exploring Operation: 170-79=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
35,
19,
15,
84
] | 84 | [
"35-19=16",
"16-15=1",
"84*1=84"
] | Current State: 84:[35, 19, 15, 84], Operations: []
Exploring Operation: 35-19=16, Resulting Numbers: [15, 84, 16]
Generated Node #2: [15, 84, 16] from Operation: 35-19=16
Current State: 84:[15, 84, 16], Operations: ['35-19=16']
Exploring Operation: 16-15=1, Resulting Numbers: [84, 1]
Generated Node #3: [84, 1] from Operation: 16-15=1
Current State: 84:[84, 1], Operations: ['35-19=16', '16-15=1']
Exploring Operation: 84*1=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
14,
99,
69,
31
] | 15 | [
"99-14=85",
"69+31=100",
"100-85=15"
] | Current State: 15:[14, 99, 69, 31], Operations: []
Exploring Operation: 99-14=85, Resulting Numbers: [69, 31, 85]
Generated Node #2: [69, 31, 85] from Operation: 99-14=85
Current State: 15:[69, 31, 85], Operations: ['99-14=85']
Exploring Operation: 69+31=100, Resulting Numbers: [85, 100]
Generated Node #3: [85, 100] from Operation: 69+31=100
Current State: 15:[85, 100], Operations: ['99-14=85', '69+31=100']
Exploring Operation: 100-85=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
23,
2,
88,
38
] | 96 | [
"23*2=46",
"88-38=50",
"46+50=96"
] | Current State: 96:[23, 2, 88, 38], Operations: []
Exploring Operation: 23*2=46, Resulting Numbers: [88, 38, 46]
Generated Node #2: [88, 38, 46] from Operation: 23*2=46
Current State: 96:[88, 38, 46], Operations: ['23*2=46']
Exploring Operation: 88-38=50, Resulting Numbers: [46, 50]
Generated Node #3: [46, 50] from Operation: 88-38=50
Current State: 96:[46, 50], Operations: ['23*2=46', '88-38=50']
Exploring Operation: 46+50=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
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