nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
16,
31,
94,
47
] | 93 | [
"16+31=47",
"47/47=1",
"94-1=93"
] | Current State: 93:[16, 31, 94, 47], Operations: []
Exploring Operation: 16+31=47, Resulting Numbers: [94, 47, 47]
Generated Node #2: [94, 47, 47] from Operation: 16+31=47
Current State: 93:[94, 47, 47], Operations: ['16+31=47']
Exploring Operation: 47/47=1, Resulting Numbers: [94, 1]
Generated Node #3: [94, 1] from Operation: 47/47=1
Current State: 93:[94, 1], Operations: ['16+31=47', '47/47=1']
Exploring Operation: 94-1=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
56,
5,
52,
42
] | 76 | [
"5+52=57",
"56*57=3192",
"3192/42=76"
] | Current State: 76:[56, 5, 52, 42], Operations: []
Exploring Operation: 5+52=57, Resulting Numbers: [56, 42, 57]
Generated Node #2: [56, 42, 57] from Operation: 5+52=57
Current State: 76:[56, 42, 57], Operations: ['5+52=57']
Exploring Operation: 56*57=3192, Resulting Numbers: [42, 3192]
Generated Node #3: [42, 3192] from Operation: 56*57=3192
Current State: 76:[42, 3192], Operations: ['5+52=57', '56*57=3192']
Exploring Operation: 3192/42=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
13,
78,
66,
3
] | 53 | [
"13+66=79",
"78/3=26",
"79-26=53"
] | Current State: 53:[13, 78, 66, 3], Operations: []
Exploring Operation: 13+66=79, Resulting Numbers: [78, 3, 79]
Generated Node #2: [78, 3, 79] from Operation: 13+66=79
Current State: 53:[78, 3, 79], Operations: ['13+66=79']
Exploring Operation: 78/3=26, Resulting Numbers: [79, 26]
Generated Node #3: [79, 26] from Operation: 78/3=26
Current State: 53:[79, 26], Operations: ['13+66=79', '78/3=26']
Exploring Operation: 79-26=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
21,
63,
73,
98
] | 57 | [
"63/21=3",
"73+98=171",
"171/3=57"
] | Current State: 57:[21, 63, 73, 98], Operations: []
Exploring Operation: 63/21=3, Resulting Numbers: [73, 98, 3]
Generated Node #2: [73, 98, 3] from Operation: 63/21=3
Current State: 57:[73, 98, 3], Operations: ['63/21=3']
Exploring Operation: 73+98=171, Resulting Numbers: [3, 171]
Generated Node #3: [3, 171] from Operation: 73+98=171
Current State: 57:[3, 171], Operations: ['63/21=3', '73+98=171']
Exploring Operation: 171/3=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
17,
9,
73,
63
] | 53 | [
"17+73=90",
"90/9=10",
"63-10=53"
] | Current State: 53:[17, 9, 73, 63], Operations: []
Exploring Operation: 17+73=90, Resulting Numbers: [9, 63, 90]
Generated Node #2: [9, 63, 90] from Operation: 17+73=90
Current State: 53:[9, 63, 90], Operations: ['17+73=90']
Exploring Operation: 90/9=10, Resulting Numbers: [63, 10]
Generated Node #3: [63, 10] from Operation: 90/9=10
Current State: 53:[63, 10], Operations: ['17+73=90', '90/9=10']
Exploring Operation: 63-10=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
94,
98,
36,
23
] | 32 | [
"98-94=4",
"36/4=9",
"23+9=32"
] | Current State: 32:[94, 98, 36, 23], Operations: []
Exploring Operation: 98-94=4, Resulting Numbers: [36, 23, 4]
Generated Node #2: [36, 23, 4] from Operation: 98-94=4
Current State: 32:[36, 23, 4], Operations: ['98-94=4']
Exploring Operation: 36/4=9, Resulting Numbers: [23, 9]
Generated Node #3: [23, 9] from Operation: 36/4=9
Current State: 32:[23, 9], Operations: ['98-94=4', '36/4=9']
Exploring Operation: 23+9=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
46,
22,
32,
35
] | 34 | [
"46-35=11",
"22/11=2",
"32+2=34"
] | Current State: 34:[46, 22, 32, 35], Operations: []
Exploring Operation: 46-35=11, Resulting Numbers: [22, 32, 11]
Generated Node #2: [22, 32, 11] from Operation: 46-35=11
Current State: 34:[22, 32, 11], Operations: ['46-35=11']
Exploring Operation: 22/11=2, Resulting Numbers: [32, 2]
Generated Node #3: [32, 2] from Operation: 22/11=2
Current State: 34:[32, 2], Operations: ['46-35=11', '22/11=2']
Exploring Operation: 32+2=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
65,
99,
58,
11
] | 13 | [
"99-65=34",
"58-11=47",
"47-34=13"
] | Current State: 13:[65, 99, 58, 11], Operations: []
Exploring Operation: 99-65=34, Resulting Numbers: [58, 11, 34]
Generated Node #2: [58, 11, 34] from Operation: 99-65=34
Current State: 13:[58, 11, 34], Operations: ['99-65=34']
Exploring Operation: 58-11=47, Resulting Numbers: [34, 47]
Generated Node #3: [34, 47] from Operation: 58-11=47
Current State: 13:[34, 47], Operations: ['99-65=34', '58-11=47']
Exploring Operation: 47-34=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
18,
74,
2,
77
] | 49 | [
"74-18=56",
"56/2=28",
"77-28=49"
] | Current State: 49:[18, 74, 2, 77], Operations: []
Exploring Operation: 74-18=56, Resulting Numbers: [2, 77, 56]
Generated Node #2: [2, 77, 56] from Operation: 74-18=56
Current State: 49:[2, 77, 56], Operations: ['74-18=56']
Exploring Operation: 56/2=28, Resulting Numbers: [77, 28]
Generated Node #3: [77, 28] from Operation: 56/2=28
Current State: 49:[77, 28], Operations: ['74-18=56', '56/2=28']
Exploring Operation: 77-28=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
60,
71,
1,
32
] | 21 | [
"71-60=11",
"1*32=32",
"32-11=21"
] | Current State: 21:[60, 71, 1, 32], Operations: []
Exploring Operation: 71-60=11, Resulting Numbers: [1, 32, 11]
Generated Node #2: [1, 32, 11] from Operation: 71-60=11
Current State: 21:[1, 32, 11], Operations: ['71-60=11']
Exploring Operation: 1*32=32, Resulting Numbers: [11, 32]
Generated Node #3: [11, 32] from Operation: 1*32=32
Current State: 21:[11, 32], Operations: ['71-60=11', '1*32=32']
Exploring Operation: 32-11=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
48,
34,
31,
58
] | 41 | [
"48-34=14",
"58-31=27",
"14+27=41"
] | Current State: 41:[48, 34, 31, 58], Operations: []
Exploring Operation: 48-34=14, Resulting Numbers: [31, 58, 14]
Generated Node #2: [31, 58, 14] from Operation: 48-34=14
Current State: 41:[31, 58, 14], Operations: ['48-34=14']
Exploring Operation: 58-31=27, Resulting Numbers: [14, 27]
Generated Node #3: [14, 27] from Operation: 58-31=27
Current State: 41:[14, 27], Operations: ['48-34=14', '58-31=27']
Exploring Operation: 14+27=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
2,
19,
54,
5
] | 47 | [
"19-5=14",
"14/2=7",
"54-7=47"
] | Current State: 47:[2, 19, 54, 5], Operations: []
Exploring Operation: 19-5=14, Resulting Numbers: [2, 54, 14]
Generated Node #2: [2, 54, 14] from Operation: 19-5=14
Current State: 47:[2, 54, 14], Operations: ['19-5=14']
Exploring Operation: 14/2=7, Resulting Numbers: [54, 7]
Generated Node #3: [54, 7] from Operation: 14/2=7
Current State: 47:[54, 7], Operations: ['19-5=14', '14/2=7']
Exploring Operation: 54-7=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
16,
85,
92,
89
] | 88 | [
"89-85=4",
"16/4=4",
"92-4=88"
] | Current State: 88:[16, 85, 92, 89], Operations: []
Exploring Operation: 89-85=4, Resulting Numbers: [16, 92, 4]
Generated Node #2: [16, 92, 4] from Operation: 89-85=4
Current State: 88:[16, 92, 4], Operations: ['89-85=4']
Exploring Operation: 16/4=4, Resulting Numbers: [92, 4]
Generated Node #3: [92, 4] from Operation: 16/4=4
Current State: 88:[92, 4], Operations: ['89-85=4', '16/4=4']
Exploring Operation: 92-4=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
24,
37,
87,
56
] | 53 | [
"24+87=111",
"111/37=3",
"56-3=53"
] | Current State: 53:[24, 37, 87, 56], Operations: []
Exploring Operation: 24+87=111, Resulting Numbers: [37, 56, 111]
Generated Node #2: [37, 56, 111] from Operation: 24+87=111
Current State: 53:[37, 56, 111], Operations: ['24+87=111']
Exploring Operation: 111/37=3, Resulting Numbers: [56, 3]
Generated Node #3: [56, 3] from Operation: 111/37=3
Current State: 53:[56, 3], Operations: ['24+87=111', '111/37=3']
Exploring Operation: 56-3=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
52,
12,
20,
88
] | 43 | [
"20+88=108",
"108/12=9",
"52-9=43"
] | Current State: 43:[52, 12, 20, 88], Operations: []
Exploring Operation: 20+88=108, Resulting Numbers: [52, 12, 108]
Generated Node #2: [52, 12, 108] from Operation: 20+88=108
Current State: 43:[52, 12, 108], Operations: ['20+88=108']
Exploring Operation: 108/12=9, Resulting Numbers: [52, 9]
Generated Node #3: [52, 9] from Operation: 108/12=9
Current State: 43:[52, 9], Operations: ['20+88=108', '108/12=9']
Exploring Operation: 52-9=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
17,
89,
1,
29
] | 76 | [
"17+89=106",
"1+29=30",
"106-30=76"
] | Current State: 76:[17, 89, 1, 29], Operations: []
Exploring Operation: 17+89=106, Resulting Numbers: [1, 29, 106]
Generated Node #2: [1, 29, 106] from Operation: 17+89=106
Current State: 76:[1, 29, 106], Operations: ['17+89=106']
Exploring Operation: 1+29=30, Resulting Numbers: [106, 30]
Generated Node #3: [106, 30] from Operation: 1+29=30
Current State: 76:[106, 30], Operations: ['17+89=106', '1+29=30']
Exploring Operation: 106-30=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
63,
3,
97,
33
] | 45 | [
"97-63=34",
"33/3=11",
"34+11=45"
] | Current State: 45:[63, 3, 97, 33], Operations: []
Exploring Operation: 97-63=34, Resulting Numbers: [3, 33, 34]
Generated Node #2: [3, 33, 34] from Operation: 97-63=34
Current State: 45:[3, 33, 34], Operations: ['97-63=34']
Exploring Operation: 33/3=11, Resulting Numbers: [34, 11]
Generated Node #3: [34, 11] from Operation: 33/3=11
Current State: 45:[34, 11], Operations: ['97-63=34', '33/3=11']
Exploring Operation: 34+11=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
45,
23,
55,
44
] | 31 | [
"45+23=68",
"55+44=99",
"99-68=31"
] | Current State: 31:[45, 23, 55, 44], Operations: []
Exploring Operation: 45+23=68, Resulting Numbers: [55, 44, 68]
Generated Node #2: [55, 44, 68] from Operation: 45+23=68
Current State: 31:[55, 44, 68], Operations: ['45+23=68']
Exploring Operation: 55+44=99, Resulting Numbers: [68, 99]
Generated Node #3: [68, 99] from Operation: 55+44=99
Current State: 31:[68, 99], Operations: ['45+23=68', '55+44=99']
Exploring Operation: 99-68=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
38,
38,
68,
15
] | 83 | [
"38-38=0",
"68+15=83",
"0+83=83"
] | Current State: 83:[38, 38, 68, 15], Operations: []
Exploring Operation: 38-38=0, Resulting Numbers: [68, 15, 0]
Generated Node #2: [68, 15, 0] from Operation: 38-38=0
Current State: 83:[68, 15, 0], Operations: ['38-38=0']
Exploring Operation: 68+15=83, Resulting Numbers: [0, 83]
Generated Node #3: [0, 83] from Operation: 68+15=83
Current State: 83:[0, 83], Operations: ['38-38=0', '68+15=83']
Exploring Operation: 0+83=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
9,
56,
35,
96
] | 93 | [
"56-35=21",
"9*21=189",
"189-96=93"
] | Current State: 93:[9, 56, 35, 96], Operations: []
Exploring Operation: 56-35=21, Resulting Numbers: [9, 96, 21]
Generated Node #2: [9, 96, 21] from Operation: 56-35=21
Current State: 93:[9, 96, 21], Operations: ['56-35=21']
Exploring Operation: 9*21=189, Resulting Numbers: [96, 189]
Generated Node #3: [96, 189] from Operation: 9*21=189
Current State: 93:[96, 189], Operations: ['56-35=21', '9*21=189']
Exploring Operation: 189-96=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
41,
90,
9,
93
] | 42 | [
"93-41=52",
"90/9=10",
"52-10=42"
] | Current State: 42:[41, 90, 9, 93], Operations: []
Exploring Operation: 93-41=52, Resulting Numbers: [90, 9, 52]
Generated Node #2: [90, 9, 52] from Operation: 93-41=52
Current State: 42:[90, 9, 52], Operations: ['93-41=52']
Exploring Operation: 90/9=10, Resulting Numbers: [52, 10]
Generated Node #3: [52, 10] from Operation: 90/9=10
Current State: 42:[52, 10], Operations: ['93-41=52', '90/9=10']
Exploring Operation: 52-10=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
18,
79,
9,
53
] | 30 | [
"18*9=162",
"79+53=132",
"162-132=30"
] | Current State: 30:[18, 79, 9, 53], Operations: []
Exploring Operation: 18*9=162, Resulting Numbers: [79, 53, 162]
Generated Node #2: [79, 53, 162] from Operation: 18*9=162
Current State: 30:[79, 53, 162], Operations: ['18*9=162']
Exploring Operation: 79+53=132, Resulting Numbers: [162, 132]
Generated Node #3: [162, 132] from Operation: 79+53=132
Current State: 30:[162, 132], Operations: ['18*9=162', '79+53=132']
Exploring Operation: 162-132=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
11,
51,
52,
41
] | 53 | [
"51-11=40",
"52+41=93",
"93-40=53"
] | Current State: 53:[11, 51, 52, 41], Operations: []
Exploring Operation: 51-11=40, Resulting Numbers: [52, 41, 40]
Generated Node #2: [52, 41, 40] from Operation: 51-11=40
Current State: 53:[52, 41, 40], Operations: ['51-11=40']
Exploring Operation: 52+41=93, Resulting Numbers: [40, 93]
Generated Node #3: [40, 93] from Operation: 52+41=93
Current State: 53:[40, 93], Operations: ['51-11=40', '52+41=93']
Exploring Operation: 93-40=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
40,
2,
92,
40
] | 94 | [
"40+2=42",
"92-40=52",
"42+52=94"
] | Current State: 94:[40, 2, 92, 40], Operations: []
Exploring Operation: 40+2=42, Resulting Numbers: [92, 42]
Generated Node #2: [92, 42] from Operation: 40+2=42
Current State: 94:[92, 42], Operations: ['40+2=42']
Exploring Operation: 92-40=52, Resulting Numbers: [42, 52]
Generated Node #3: [42, 52] from Operation: 92-40=52
Current State: 94:[42, 52], Operations: ['40+2=42', '92-40=52']
Exploring Operation: 42+52=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
72,
31,
9,
33
] | 10 | [
"72/9=8",
"33-31=2",
"8+2=10"
] | Current State: 10:[72, 31, 9, 33], Operations: []
Exploring Operation: 72/9=8, Resulting Numbers: [31, 33, 8]
Generated Node #2: [31, 33, 8] from Operation: 72/9=8
Current State: 10:[31, 33, 8], Operations: ['72/9=8']
Exploring Operation: 33-31=2, Resulting Numbers: [8, 2]
Generated Node #3: [8, 2] from Operation: 33-31=2
Current State: 10:[8, 2], Operations: ['72/9=8', '33-31=2']
Exploring Operation: 8+2=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
42,
73,
45,
29
] | 47 | [
"73-42=31",
"45-29=16",
"31+16=47"
] | Current State: 47:[42, 73, 45, 29], Operations: []
Exploring Operation: 73-42=31, Resulting Numbers: [45, 29, 31]
Generated Node #2: [45, 29, 31] from Operation: 73-42=31
Current State: 47:[45, 29, 31], Operations: ['73-42=31']
Exploring Operation: 45-29=16, Resulting Numbers: [31, 16]
Generated Node #3: [31, 16] from Operation: 45-29=16
Current State: 47:[31, 16], Operations: ['73-42=31', '45-29=16']
Exploring Operation: 31+16=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
1,
59,
61,
99
] | 21 | [
"1*59=59",
"99-61=38",
"59-38=21"
] | Current State: 21:[1, 59, 61, 99], Operations: []
Exploring Operation: 1*59=59, Resulting Numbers: [61, 99, 59]
Generated Node #2: [61, 99, 59] from Operation: 1*59=59
Current State: 21:[61, 99, 59], Operations: ['1*59=59']
Exploring Operation: 99-61=38, Resulting Numbers: [59, 38]
Generated Node #3: [59, 38] from Operation: 99-61=38
Current State: 21:[59, 38], Operations: ['1*59=59', '99-61=38']
Exploring Operation: 59-38=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
24,
6,
99,
35
] | 41 | [
"24/6=4",
"35*4=140",
"140-99=41"
] | Current State: 41:[24, 6, 99, 35], Operations: []
Exploring Operation: 24/6=4, Resulting Numbers: [99, 35, 4]
Generated Node #2: [99, 35, 4] from Operation: 24/6=4
Current State: 41:[99, 35, 4], Operations: ['24/6=4']
Exploring Operation: 35*4=140, Resulting Numbers: [99, 140]
Generated Node #3: [99, 140] from Operation: 35*4=140
Current State: 41:[99, 140], Operations: ['24/6=4', '35*4=140']
Exploring Operation: 140-99=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
6,
8,
47,
90
] | 90 | [
"6*8=48",
"48-47=1",
"90*1=90"
] | Current State: 90:[6, 8, 47, 90], Operations: []
Exploring Operation: 6*8=48, Resulting Numbers: [47, 90, 48]
Generated Node #2: [47, 90, 48] from Operation: 6*8=48
Current State: 90:[47, 90, 48], Operations: ['6*8=48']
Exploring Operation: 48-47=1, Resulting Numbers: [90, 1]
Generated Node #3: [90, 1] from Operation: 48-47=1
Current State: 90:[90, 1], Operations: ['6*8=48', '48-47=1']
Exploring Operation: 90*1=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
23,
76,
73,
82
] | 16 | [
"23+73=96",
"82-76=6",
"96/6=16"
] | Current State: 16:[23, 76, 73, 82], Operations: []
Exploring Operation: 23+73=96, Resulting Numbers: [76, 82, 96]
Generated Node #2: [76, 82, 96] from Operation: 23+73=96
Current State: 16:[76, 82, 96], Operations: ['23+73=96']
Exploring Operation: 82-76=6, Resulting Numbers: [96, 6]
Generated Node #3: [96, 6] from Operation: 82-76=6
Current State: 16:[96, 6], Operations: ['23+73=96', '82-76=6']
Exploring Operation: 96/6=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
24,
62,
97,
91
] | 66 | [
"97-91=6",
"24/6=4",
"62+4=66"
] | Current State: 66:[24, 62, 97, 91], Operations: []
Exploring Operation: 97-91=6, Resulting Numbers: [24, 62, 6]
Generated Node #2: [24, 62, 6] from Operation: 97-91=6
Current State: 66:[24, 62, 6], Operations: ['97-91=6']
Exploring Operation: 24/6=4, Resulting Numbers: [62, 4]
Generated Node #3: [62, 4] from Operation: 24/6=4
Current State: 66:[62, 4], Operations: ['97-91=6', '24/6=4']
Exploring Operation: 62+4=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
31,
19,
1,
75
] | 24 | [
"31+19=50",
"75-1=74",
"74-50=24"
] | Current State: 24:[31, 19, 1, 75], Operations: []
Exploring Operation: 31+19=50, Resulting Numbers: [1, 75, 50]
Generated Node #2: [1, 75, 50] from Operation: 31+19=50
Current State: 24:[1, 75, 50], Operations: ['31+19=50']
Exploring Operation: 75-1=74, Resulting Numbers: [50, 74]
Generated Node #3: [50, 74] from Operation: 75-1=74
Current State: 24:[50, 74], Operations: ['31+19=50', '75-1=74']
Exploring Operation: 74-50=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
4,
75,
57,
27
] | 90 | [
"4*27=108",
"75-57=18",
"108-18=90"
] | Current State: 90:[4, 75, 57, 27], Operations: []
Exploring Operation: 4*27=108, Resulting Numbers: [75, 57, 108]
Generated Node #2: [75, 57, 108] from Operation: 4*27=108
Current State: 90:[75, 57, 108], Operations: ['4*27=108']
Exploring Operation: 75-57=18, Resulting Numbers: [108, 18]
Generated Node #3: [108, 18] from Operation: 75-57=18
Current State: 90:[108, 18], Operations: ['4*27=108', '75-57=18']
Exploring Operation: 108-18=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
23,
74,
13,
15
] | 79 | [
"74-23=51",
"13+15=28",
"51+28=79"
] | Current State: 79:[23, 74, 13, 15], Operations: []
Exploring Operation: 74-23=51, Resulting Numbers: [13, 15, 51]
Generated Node #2: [13, 15, 51] from Operation: 74-23=51
Current State: 79:[13, 15, 51], Operations: ['74-23=51']
Exploring Operation: 13+15=28, Resulting Numbers: [51, 28]
Generated Node #3: [51, 28] from Operation: 13+15=28
Current State: 79:[51, 28], Operations: ['74-23=51', '13+15=28']
Exploring Operation: 51+28=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
3,
27,
12,
15
] | 57 | [
"3+27=30",
"12+15=27",
"30+27=57"
] | Current State: 57:[3, 27, 12, 15], Operations: []
Exploring Operation: 3+27=30, Resulting Numbers: [12, 15, 30]
Generated Node #2: [12, 15, 30] from Operation: 3+27=30
Current State: 57:[12, 15, 30], Operations: ['3+27=30']
Exploring Operation: 12+15=27, Resulting Numbers: [30, 27]
Generated Node #3: [30, 27] from Operation: 12+15=27
Current State: 57:[30, 27], Operations: ['3+27=30', '12+15=27']
Exploring Operation: 30+27=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
31,
4,
18,
51
] | 55 | [
"31*4=124",
"18+51=69",
"124-69=55"
] | Current State: 55:[31, 4, 18, 51], Operations: []
Exploring Operation: 31*4=124, Resulting Numbers: [18, 51, 124]
Generated Node #2: [18, 51, 124] from Operation: 31*4=124
Current State: 55:[18, 51, 124], Operations: ['31*4=124']
Exploring Operation: 18+51=69, Resulting Numbers: [124, 69]
Generated Node #3: [124, 69] from Operation: 18+51=69
Current State: 55:[124, 69], Operations: ['31*4=124', '18+51=69']
Exploring Operation: 124-69=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
33,
61,
12,
67
] | 83 | [
"61-33=28",
"67-12=55",
"28+55=83"
] | Current State: 83:[33, 61, 12, 67], Operations: []
Exploring Operation: 61-33=28, Resulting Numbers: [12, 67, 28]
Generated Node #2: [12, 67, 28] from Operation: 61-33=28
Current State: 83:[12, 67, 28], Operations: ['61-33=28']
Exploring Operation: 67-12=55, Resulting Numbers: [28, 55]
Generated Node #3: [28, 55] from Operation: 67-12=55
Current State: 83:[28, 55], Operations: ['61-33=28', '67-12=55']
Exploring Operation: 28+55=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
27,
13,
25,
11
] | 76 | [
"27+13=40",
"25+11=36",
"40+36=76"
] | Current State: 76:[27, 13, 25, 11], Operations: []
Exploring Operation: 27+13=40, Resulting Numbers: [25, 11, 40]
Generated Node #2: [25, 11, 40] from Operation: 27+13=40
Current State: 76:[25, 11, 40], Operations: ['27+13=40']
Exploring Operation: 25+11=36, Resulting Numbers: [40, 36]
Generated Node #3: [40, 36] from Operation: 25+11=36
Current State: 76:[40, 36], Operations: ['27+13=40', '25+11=36']
Exploring Operation: 40+36=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
85,
5,
44,
61
] | 88 | [
"85/5=17",
"44+61=105",
"105-17=88"
] | Current State: 88:[85, 5, 44, 61], Operations: []
Exploring Operation: 85/5=17, Resulting Numbers: [44, 61, 17]
Generated Node #2: [44, 61, 17] from Operation: 85/5=17
Current State: 88:[44, 61, 17], Operations: ['85/5=17']
Exploring Operation: 44+61=105, Resulting Numbers: [17, 105]
Generated Node #3: [17, 105] from Operation: 44+61=105
Current State: 88:[17, 105], Operations: ['85/5=17', '44+61=105']
Exploring Operation: 105-17=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
8,
40,
32,
59
] | 59 | [
"40-8=32",
"32+59=91",
"91-32=59"
] | Current State: 59:[8, 40, 32, 59], Operations: []
Exploring Operation: 40-8=32, Resulting Numbers: [32, 59, 32]
Generated Node #2: [32, 59, 32] from Operation: 40-8=32
Current State: 59:[32, 59, 32], Operations: ['40-8=32']
Exploring Operation: 32+59=91, Resulting Numbers: [91]
91,59 equal: Goal Reached
Exploring Operation: 91-32=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
14,
83,
3,
80
] | 59 | [
"14+83=97",
"80+97=177",
"177/3=59"
] | Current State: 59:[14, 83, 3, 80], Operations: []
Exploring Operation: 14+83=97, Resulting Numbers: [3, 80, 97]
Generated Node #2: [3, 80, 97] from Operation: 14+83=97
Current State: 59:[3, 80, 97], Operations: ['14+83=97']
Exploring Operation: 80+97=177, Resulting Numbers: [3, 177]
Generated Node #3: [3, 177] from Operation: 80+97=177
Current State: 59:[3, 177], Operations: ['14+83=97', '80+97=177']
Exploring Operation: 177/3=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
77,
44,
3,
35
] | 60 | [
"44*3=132",
"35*132=4620",
"4620/77=60"
] | Current State: 60:[77, 44, 3, 35], Operations: []
Exploring Operation: 44*3=132, Resulting Numbers: [77, 35, 132]
Generated Node #2: [77, 35, 132] from Operation: 44*3=132
Current State: 60:[77, 35, 132], Operations: ['44*3=132']
Exploring Operation: 35*132=4620, Resulting Numbers: [77, 4620]
Generated Node #3: [77, 4620] from Operation: 35*132=4620
Current State: 60:[77, 4620], Operations: ['44*3=132', '35*132=4620']
Exploring Operation: 4620/77=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
42,
83,
77,
3
] | 12 | [
"83-42=41",
"77-41=36",
"36/3=12"
] | Current State: 12:[42, 83, 77, 3], Operations: []
Exploring Operation: 83-42=41, Resulting Numbers: [77, 3, 41]
Generated Node #2: [77, 3, 41] from Operation: 83-42=41
Current State: 12:[77, 3, 41], Operations: ['83-42=41']
Exploring Operation: 77-41=36, Resulting Numbers: [3, 36]
Generated Node #3: [3, 36] from Operation: 77-41=36
Current State: 12:[3, 36], Operations: ['83-42=41', '77-41=36']
Exploring Operation: 36/3=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
46,
98,
15,
25
] | 42 | [
"98-46=52",
"25-15=10",
"52-10=42"
] | Current State: 42:[46, 98, 15, 25], Operations: []
Exploring Operation: 98-46=52, Resulting Numbers: [15, 25, 52]
Generated Node #2: [15, 25, 52] from Operation: 98-46=52
Current State: 42:[15, 25, 52], Operations: ['98-46=52']
Exploring Operation: 25-15=10, Resulting Numbers: [52, 10]
Generated Node #3: [52, 10] from Operation: 25-15=10
Current State: 42:[52, 10], Operations: ['98-46=52', '25-15=10']
Exploring Operation: 52-10=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
27,
83,
60,
9
] | 41 | [
"27+83=110",
"60+9=69",
"110-69=41"
] | Current State: 41:[27, 83, 60, 9], Operations: []
Exploring Operation: 27+83=110, Resulting Numbers: [60, 9, 110]
Generated Node #2: [60, 9, 110] from Operation: 27+83=110
Current State: 41:[60, 9, 110], Operations: ['27+83=110']
Exploring Operation: 60+9=69, Resulting Numbers: [110, 69]
Generated Node #3: [110, 69] from Operation: 60+9=69
Current State: 41:[110, 69], Operations: ['27+83=110', '60+9=69']
Exploring Operation: 110-69=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
62,
6,
12,
24
] | 78 | [
"62+12=74",
"24/6=4",
"74+4=78"
] | Current State: 78:[62, 6, 12, 24], Operations: []
Exploring Operation: 62+12=74, Resulting Numbers: [6, 24, 74]
Generated Node #2: [6, 24, 74] from Operation: 62+12=74
Current State: 78:[6, 24, 74], Operations: ['62+12=74']
Exploring Operation: 24/6=4, Resulting Numbers: [74, 4]
Generated Node #3: [74, 4] from Operation: 24/6=4
Current State: 78:[74, 4], Operations: ['62+12=74', '24/6=4']
Exploring Operation: 74+4=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
20,
61,
18,
50
] | 73 | [
"61-20=41",
"50-18=32",
"41+32=73"
] | Current State: 73:[20, 61, 18, 50], Operations: []
Exploring Operation: 61-20=41, Resulting Numbers: [18, 50, 41]
Generated Node #2: [18, 50, 41] from Operation: 61-20=41
Current State: 73:[18, 50, 41], Operations: ['61-20=41']
Exploring Operation: 50-18=32, Resulting Numbers: [41, 32]
Generated Node #3: [41, 32] from Operation: 50-18=32
Current State: 73:[41, 32], Operations: ['61-20=41', '50-18=32']
Exploring Operation: 41+32=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
9,
58,
4,
79
] | 15 | [
"9*4=36",
"79-58=21",
"36-21=15"
] | Current State: 15:[9, 58, 4, 79], Operations: []
Exploring Operation: 9*4=36, Resulting Numbers: [58, 79, 36]
Generated Node #2: [58, 79, 36] from Operation: 9*4=36
Current State: 15:[58, 79, 36], Operations: ['9*4=36']
Exploring Operation: 79-58=21, Resulting Numbers: [36, 21]
Generated Node #3: [36, 21] from Operation: 79-58=21
Current State: 15:[36, 21], Operations: ['9*4=36', '79-58=21']
Exploring Operation: 36-21=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
82,
72,
10,
56
] | 76 | [
"82-72=10",
"10+56=66",
"10+66=76"
] | Current State: 76:[82, 72, 10, 56], Operations: []
Exploring Operation: 82-72=10, Resulting Numbers: [10, 56, 10]
Generated Node #2: [10, 56, 10] from Operation: 82-72=10
Current State: 76:[10, 56, 10], Operations: ['82-72=10']
Exploring Operation: 10+56=66, Resulting Numbers: [66]
66,76 equal: Goal Reached
Exploring Operation: 10+66=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
34,
21,
45,
47
] | 38 | [
"47-45=2",
"34/2=17",
"21+17=38"
] | Current State: 38:[34, 21, 45, 47], Operations: []
Exploring Operation: 47-45=2, Resulting Numbers: [34, 21, 2]
Generated Node #2: [34, 21, 2] from Operation: 47-45=2
Current State: 38:[34, 21, 2], Operations: ['47-45=2']
Exploring Operation: 34/2=17, Resulting Numbers: [21, 17]
Generated Node #3: [21, 17] from Operation: 34/2=17
Current State: 38:[21, 17], Operations: ['47-45=2', '34/2=17']
Exploring Operation: 21+17=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
27,
23,
71,
51
] | 80 | [
"27-23=4",
"71-51=20",
"4*20=80"
] | Current State: 80:[27, 23, 71, 51], Operations: []
Exploring Operation: 27-23=4, Resulting Numbers: [71, 51, 4]
Generated Node #2: [71, 51, 4] from Operation: 27-23=4
Current State: 80:[71, 51, 4], Operations: ['27-23=4']
Exploring Operation: 71-51=20, Resulting Numbers: [4, 20]
Generated Node #3: [4, 20] from Operation: 71-51=20
Current State: 80:[4, 20], Operations: ['27-23=4', '71-51=20']
Exploring Operation: 4*20=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
49,
15,
49,
92
] | 77 | [
"49+15=64",
"49+92=141",
"141-64=77"
] | Current State: 77:[49, 15, 49, 92], Operations: []
Exploring Operation: 49+15=64, Resulting Numbers: [92, 64]
Generated Node #2: [92, 64] from Operation: 49+15=64
Current State: 77:[92, 64], Operations: ['49+15=64']
Exploring Operation: 49+92=141, Resulting Numbers: [64, 141]
Generated Node #3: [64, 141] from Operation: 49+92=141
Current State: 77:[64, 141], Operations: ['49+15=64', '49+92=141']
Exploring Operation: 141-64=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
40,
14,
75,
57
] | 36 | [
"40+14=54",
"75-57=18",
"54-18=36"
] | Current State: 36:[40, 14, 75, 57], Operations: []
Exploring Operation: 40+14=54, Resulting Numbers: [75, 57, 54]
Generated Node #2: [75, 57, 54] from Operation: 40+14=54
Current State: 36:[75, 57, 54], Operations: ['40+14=54']
Exploring Operation: 75-57=18, Resulting Numbers: [54, 18]
Generated Node #3: [54, 18] from Operation: 75-57=18
Current State: 36:[54, 18], Operations: ['40+14=54', '75-57=18']
Exploring Operation: 54-18=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
60,
33,
6,
18
] | 71 | [
"33*6=198",
"198/18=11",
"60+11=71"
] | Current State: 71:[60, 33, 6, 18], Operations: []
Exploring Operation: 33*6=198, Resulting Numbers: [60, 18, 198]
Generated Node #2: [60, 18, 198] from Operation: 33*6=198
Current State: 71:[60, 18, 198], Operations: ['33*6=198']
Exploring Operation: 198/18=11, Resulting Numbers: [60, 11]
Generated Node #3: [60, 11] from Operation: 198/18=11
Current State: 71:[60, 11], Operations: ['33*6=198', '198/18=11']
Exploring Operation: 60+11=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
24,
77,
98,
98
] | 54 | [
"77-24=53",
"98/98=1",
"53+1=54"
] | Current State: 54:[24, 77, 98, 98], Operations: []
Exploring Operation: 77-24=53, Resulting Numbers: [98, 98, 53]
Generated Node #2: [98, 98, 53] from Operation: 77-24=53
Current State: 54:[98, 98, 53], Operations: ['77-24=53']
Exploring Operation: 98/98=1, Resulting Numbers: [53, 1]
Generated Node #3: [53, 1] from Operation: 98/98=1
Current State: 54:[53, 1], Operations: ['77-24=53', '98/98=1']
Exploring Operation: 53+1=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
11,
51,
68,
24
] | 30 | [
"11+51=62",
"68+24=92",
"92-62=30"
] | Current State: 30:[11, 51, 68, 24], Operations: []
Exploring Operation: 11+51=62, Resulting Numbers: [68, 24, 62]
Generated Node #2: [68, 24, 62] from Operation: 11+51=62
Current State: 30:[68, 24, 62], Operations: ['11+51=62']
Exploring Operation: 68+24=92, Resulting Numbers: [62, 92]
Generated Node #3: [62, 92] from Operation: 68+24=92
Current State: 30:[62, 92], Operations: ['11+51=62', '68+24=92']
Exploring Operation: 92-62=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
68,
3,
97,
15
] | 72 | [
"97-68=29",
"3*29=87",
"87-15=72"
] | Current State: 72:[68, 3, 97, 15], Operations: []
Exploring Operation: 97-68=29, Resulting Numbers: [3, 15, 29]
Generated Node #2: [3, 15, 29] from Operation: 97-68=29
Current State: 72:[3, 15, 29], Operations: ['97-68=29']
Exploring Operation: 3*29=87, Resulting Numbers: [15, 87]
Generated Node #3: [15, 87] from Operation: 3*29=87
Current State: 72:[15, 87], Operations: ['97-68=29', '3*29=87']
Exploring Operation: 87-15=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
94,
28,
73,
47
] | 92 | [
"94-28=66",
"73-47=26",
"66+26=92"
] | Current State: 92:[94, 28, 73, 47], Operations: []
Exploring Operation: 94-28=66, Resulting Numbers: [73, 47, 66]
Generated Node #2: [73, 47, 66] from Operation: 94-28=66
Current State: 92:[73, 47, 66], Operations: ['94-28=66']
Exploring Operation: 73-47=26, Resulting Numbers: [66, 26]
Generated Node #3: [66, 26] from Operation: 73-47=26
Current State: 92:[66, 26], Operations: ['94-28=66', '73-47=26']
Exploring Operation: 66+26=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
58,
87,
3,
54
] | 83 | [
"58+54=112",
"87/3=29",
"112-29=83"
] | Current State: 83:[58, 87, 3, 54], Operations: []
Exploring Operation: 58+54=112, Resulting Numbers: [87, 3, 112]
Generated Node #2: [87, 3, 112] from Operation: 58+54=112
Current State: 83:[87, 3, 112], Operations: ['58+54=112']
Exploring Operation: 87/3=29, Resulting Numbers: [112, 29]
Generated Node #3: [112, 29] from Operation: 87/3=29
Current State: 83:[112, 29], Operations: ['58+54=112', '87/3=29']
Exploring Operation: 112-29=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
35,
44,
77,
40
] | 38 | [
"35+44=79",
"77+40=117",
"117-79=38"
] | Current State: 38:[35, 44, 77, 40], Operations: []
Exploring Operation: 35+44=79, Resulting Numbers: [77, 40, 79]
Generated Node #2: [77, 40, 79] from Operation: 35+44=79
Current State: 38:[77, 40, 79], Operations: ['35+44=79']
Exploring Operation: 77+40=117, Resulting Numbers: [79, 117]
Generated Node #3: [79, 117] from Operation: 77+40=117
Current State: 38:[79, 117], Operations: ['35+44=79', '77+40=117']
Exploring Operation: 117-79=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
34,
14,
21,
66
] | 65 | [
"34-14=20",
"66-21=45",
"20+45=65"
] | Current State: 65:[34, 14, 21, 66], Operations: []
Exploring Operation: 34-14=20, Resulting Numbers: [21, 66, 20]
Generated Node #2: [21, 66, 20] from Operation: 34-14=20
Current State: 65:[21, 66, 20], Operations: ['34-14=20']
Exploring Operation: 66-21=45, Resulting Numbers: [20, 45]
Generated Node #3: [20, 45] from Operation: 66-21=45
Current State: 65:[20, 45], Operations: ['34-14=20', '66-21=45']
Exploring Operation: 20+45=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
86,
27,
85,
3
] | 80 | [
"86-85=1",
"27*3=81",
"81-1=80"
] | Current State: 80:[86, 27, 85, 3], Operations: []
Exploring Operation: 86-85=1, Resulting Numbers: [27, 3, 1]
Generated Node #2: [27, 3, 1] from Operation: 86-85=1
Current State: 80:[27, 3, 1], Operations: ['86-85=1']
Exploring Operation: 27*3=81, Resulting Numbers: [1, 81]
Generated Node #3: [1, 81] from Operation: 27*3=81
Current State: 80:[1, 81], Operations: ['86-85=1', '27*3=81']
Exploring Operation: 81-1=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
73,
37,
65,
19
] | 48 | [
"73-37=36",
"65+19=84",
"84-36=48"
] | Current State: 48:[73, 37, 65, 19], Operations: []
Exploring Operation: 73-37=36, Resulting Numbers: [65, 19, 36]
Generated Node #2: [65, 19, 36] from Operation: 73-37=36
Current State: 48:[65, 19, 36], Operations: ['73-37=36']
Exploring Operation: 65+19=84, Resulting Numbers: [36, 84]
Generated Node #3: [36, 84] from Operation: 65+19=84
Current State: 48:[36, 84], Operations: ['73-37=36', '65+19=84']
Exploring Operation: 84-36=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
56,
23,
34,
9
] | 43 | [
"34-23=11",
"9*11=99",
"99-56=43"
] | Current State: 43:[56, 23, 34, 9], Operations: []
Exploring Operation: 34-23=11, Resulting Numbers: [56, 9, 11]
Generated Node #2: [56, 9, 11] from Operation: 34-23=11
Current State: 43:[56, 9, 11], Operations: ['34-23=11']
Exploring Operation: 9*11=99, Resulting Numbers: [56, 99]
Generated Node #3: [56, 99] from Operation: 9*11=99
Current State: 43:[56, 99], Operations: ['34-23=11', '9*11=99']
Exploring Operation: 99-56=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
19,
69,
68,
70
] | 25 | [
"69-19=50",
"70-68=2",
"50/2=25"
] | Current State: 25:[19, 69, 68, 70], Operations: []
Exploring Operation: 69-19=50, Resulting Numbers: [68, 70, 50]
Generated Node #2: [68, 70, 50] from Operation: 69-19=50
Current State: 25:[68, 70, 50], Operations: ['69-19=50']
Exploring Operation: 70-68=2, Resulting Numbers: [50, 2]
Generated Node #3: [50, 2] from Operation: 70-68=2
Current State: 25:[50, 2], Operations: ['69-19=50', '70-68=2']
Exploring Operation: 50/2=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
8,
10,
17,
7
] | 57 | [
"17-10=7",
"7*7=49",
"8+49=57"
] | Current State: 57:[8, 10, 17, 7], Operations: []
Exploring Operation: 17-10=7, Resulting Numbers: [8, 7, 7]
Generated Node #2: [8, 7, 7] from Operation: 17-10=7
Current State: 57:[8, 7, 7], Operations: ['17-10=7']
Exploring Operation: 7*7=49, Resulting Numbers: [8, 49]
Generated Node #3: [8, 49] from Operation: 7*7=49
Current State: 57:[8, 49], Operations: ['17-10=7', '7*7=49']
Exploring Operation: 8+49=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
40,
43,
30,
17
] | 42 | [
"43+17=60",
"60/30=2",
"40+2=42"
] | Current State: 42:[40, 43, 30, 17], Operations: []
Exploring Operation: 43+17=60, Resulting Numbers: [40, 30, 60]
Generated Node #2: [40, 30, 60] from Operation: 43+17=60
Current State: 42:[40, 30, 60], Operations: ['43+17=60']
Exploring Operation: 60/30=2, Resulting Numbers: [40, 2]
Generated Node #3: [40, 2] from Operation: 60/30=2
Current State: 42:[40, 2], Operations: ['43+17=60', '60/30=2']
Exploring Operation: 40+2=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
41,
84,
24,
72
] | 82 | [
"41*24=984",
"84-72=12",
"984/12=82"
] | Current State: 82:[41, 84, 24, 72], Operations: []
Exploring Operation: 41*24=984, Resulting Numbers: [84, 72, 984]
Generated Node #2: [84, 72, 984] from Operation: 41*24=984
Current State: 82:[84, 72, 984], Operations: ['41*24=984']
Exploring Operation: 84-72=12, Resulting Numbers: [984, 12]
Generated Node #3: [984, 12] from Operation: 84-72=12
Current State: 82:[984, 12], Operations: ['41*24=984', '84-72=12']
Exploring Operation: 984/12=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
90,
8,
31,
60
] | 19 | [
"90*8=720",
"720/60=12",
"31-12=19"
] | Current State: 19:[90, 8, 31, 60], Operations: []
Exploring Operation: 90*8=720, Resulting Numbers: [31, 60, 720]
Generated Node #2: [31, 60, 720] from Operation: 90*8=720
Current State: 19:[31, 60, 720], Operations: ['90*8=720']
Exploring Operation: 720/60=12, Resulting Numbers: [31, 12]
Generated Node #3: [31, 12] from Operation: 720/60=12
Current State: 19:[31, 12], Operations: ['90*8=720', '720/60=12']
Exploring Operation: 31-12=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
16,
53,
6,
38
] | 51 | [
"38-6=32",
"32/16=2",
"53-2=51"
] | Current State: 51:[16, 53, 6, 38], Operations: []
Exploring Operation: 38-6=32, Resulting Numbers: [16, 53, 32]
Generated Node #2: [16, 53, 32] from Operation: 38-6=32
Current State: 51:[16, 53, 32], Operations: ['38-6=32']
Exploring Operation: 32/16=2, Resulting Numbers: [53, 2]
Generated Node #3: [53, 2] from Operation: 32/16=2
Current State: 51:[53, 2], Operations: ['38-6=32', '32/16=2']
Exploring Operation: 53-2=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
2,
5,
69,
45
] | 68 | [
"5-2=3",
"69/3=23",
"45+23=68"
] | Current State: 68:[2, 5, 69, 45], Operations: []
Exploring Operation: 5-2=3, Resulting Numbers: [69, 45, 3]
Generated Node #2: [69, 45, 3] from Operation: 5-2=3
Current State: 68:[69, 45, 3], Operations: ['5-2=3']
Exploring Operation: 69/3=23, Resulting Numbers: [45, 23]
Generated Node #3: [45, 23] from Operation: 69/3=23
Current State: 68:[45, 23], Operations: ['5-2=3', '69/3=23']
Exploring Operation: 45+23=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
90,
37,
55,
56
] | 52 | [
"90-37=53",
"56-55=1",
"53-1=52"
] | Current State: 52:[90, 37, 55, 56], Operations: []
Exploring Operation: 90-37=53, Resulting Numbers: [55, 56, 53]
Generated Node #2: [55, 56, 53] from Operation: 90-37=53
Current State: 52:[55, 56, 53], Operations: ['90-37=53']
Exploring Operation: 56-55=1, Resulting Numbers: [53, 1]
Generated Node #3: [53, 1] from Operation: 56-55=1
Current State: 52:[53, 1], Operations: ['90-37=53', '56-55=1']
Exploring Operation: 53-1=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
40,
25,
10,
16
] | 14 | [
"40+10=50",
"50/25=2",
"16-2=14"
] | Current State: 14:[40, 25, 10, 16], Operations: []
Exploring Operation: 40+10=50, Resulting Numbers: [25, 16, 50]
Generated Node #2: [25, 16, 50] from Operation: 40+10=50
Current State: 14:[25, 16, 50], Operations: ['40+10=50']
Exploring Operation: 50/25=2, Resulting Numbers: [16, 2]
Generated Node #3: [16, 2] from Operation: 50/25=2
Current State: 14:[16, 2], Operations: ['40+10=50', '50/25=2']
Exploring Operation: 16-2=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
9,
64,
45,
63
] | 53 | [
"64-9=55",
"45+63=108",
"108-55=53"
] | Current State: 53:[9, 64, 45, 63], Operations: []
Exploring Operation: 64-9=55, Resulting Numbers: [45, 63, 55]
Generated Node #2: [45, 63, 55] from Operation: 64-9=55
Current State: 53:[45, 63, 55], Operations: ['64-9=55']
Exploring Operation: 45+63=108, Resulting Numbers: [55, 108]
Generated Node #3: [55, 108] from Operation: 45+63=108
Current State: 53:[55, 108], Operations: ['64-9=55', '45+63=108']
Exploring Operation: 108-55=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
49,
63,
98,
12
] | 28 | [
"49+98=147",
"12*147=1764",
"1764/63=28"
] | Current State: 28:[49, 63, 98, 12], Operations: []
Exploring Operation: 49+98=147, Resulting Numbers: [63, 12, 147]
Generated Node #2: [63, 12, 147] from Operation: 49+98=147
Current State: 28:[63, 12, 147], Operations: ['49+98=147']
Exploring Operation: 12*147=1764, Resulting Numbers: [63, 1764]
Generated Node #3: [63, 1764] from Operation: 12*147=1764
Current State: 28:[63, 1764], Operations: ['49+98=147', '12*147=1764']
Exploring Operation: 1764/63=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
67,
68,
93,
63
] | 31 | [
"68-67=1",
"93-63=30",
"1+30=31"
] | Current State: 31:[67, 68, 93, 63], Operations: []
Exploring Operation: 68-67=1, Resulting Numbers: [93, 63, 1]
Generated Node #2: [93, 63, 1] from Operation: 68-67=1
Current State: 31:[93, 63, 1], Operations: ['68-67=1']
Exploring Operation: 93-63=30, Resulting Numbers: [1, 30]
Generated Node #3: [1, 30] from Operation: 93-63=30
Current State: 31:[1, 30], Operations: ['68-67=1', '93-63=30']
Exploring Operation: 1+30=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
51,
73,
42,
73
] | 94 | [
"51+42=93",
"73/73=1",
"93+1=94"
] | Current State: 94:[51, 73, 42, 73], Operations: []
Exploring Operation: 51+42=93, Resulting Numbers: [73, 73, 93]
Generated Node #2: [73, 73, 93] from Operation: 51+42=93
Current State: 94:[73, 73, 93], Operations: ['51+42=93']
Exploring Operation: 73/73=1, Resulting Numbers: [93, 1]
Generated Node #3: [93, 1] from Operation: 73/73=1
Current State: 94:[93, 1], Operations: ['51+42=93', '73/73=1']
Exploring Operation: 93+1=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
32,
47,
46,
22
] | 10 | [
"32-22=10",
"47-46=1",
"10*1=10"
] | Current State: 10:[32, 47, 46, 22], Operations: []
Exploring Operation: 32-22=10, Resulting Numbers: [47, 46, 10]
Generated Node #2: [47, 46, 10] from Operation: 32-22=10
Current State: 10:[47, 46, 10], Operations: ['32-22=10']
Exploring Operation: 47-46=1, Resulting Numbers: [10, 1]
Generated Node #3: [10, 1] from Operation: 47-46=1
Current State: 10:[10, 1], Operations: ['32-22=10', '47-46=1']
Exploring Operation: 10*1=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
64,
43,
73,
23
] | 71 | [
"64-43=21",
"73-23=50",
"21+50=71"
] | Current State: 71:[64, 43, 73, 23], Operations: []
Exploring Operation: 64-43=21, Resulting Numbers: [73, 23, 21]
Generated Node #2: [73, 23, 21] from Operation: 64-43=21
Current State: 71:[73, 23, 21], Operations: ['64-43=21']
Exploring Operation: 73-23=50, Resulting Numbers: [21, 50]
Generated Node #3: [21, 50] from Operation: 73-23=50
Current State: 71:[21, 50], Operations: ['64-43=21', '73-23=50']
Exploring Operation: 21+50=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
74,
91,
27,
74
] | 63 | [
"74/74=1",
"91-27=64",
"64-1=63"
] | Current State: 63:[74, 91, 27, 74], Operations: []
Exploring Operation: 74/74=1, Resulting Numbers: [91, 27, 1]
Generated Node #2: [91, 27, 1] from Operation: 74/74=1
Current State: 63:[91, 27, 1], Operations: ['74/74=1']
Exploring Operation: 91-27=64, Resulting Numbers: [1, 64]
Generated Node #3: [1, 64] from Operation: 91-27=64
Current State: 63:[1, 64], Operations: ['74/74=1', '91-27=64']
Exploring Operation: 64-1=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
33,
77,
51,
85
] | 76 | [
"33+77=110",
"85-51=34",
"110-34=76"
] | Current State: 76:[33, 77, 51, 85], Operations: []
Exploring Operation: 33+77=110, Resulting Numbers: [51, 85, 110]
Generated Node #2: [51, 85, 110] from Operation: 33+77=110
Current State: 76:[51, 85, 110], Operations: ['33+77=110']
Exploring Operation: 85-51=34, Resulting Numbers: [110, 34]
Generated Node #3: [110, 34] from Operation: 85-51=34
Current State: 76:[110, 34], Operations: ['33+77=110', '85-51=34']
Exploring Operation: 110-34=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
15,
2,
12,
11
] | 45 | [
"2+12=14",
"14-11=3",
"15*3=45"
] | Current State: 45:[15, 2, 12, 11], Operations: []
Exploring Operation: 2+12=14, Resulting Numbers: [15, 11, 14]
Generated Node #2: [15, 11, 14] from Operation: 2+12=14
Current State: 45:[15, 11, 14], Operations: ['2+12=14']
Exploring Operation: 14-11=3, Resulting Numbers: [15, 3]
Generated Node #3: [15, 3] from Operation: 14-11=3
Current State: 45:[15, 3], Operations: ['2+12=14', '14-11=3']
Exploring Operation: 15*3=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
46,
81,
44,
3
] | 54 | [
"46-44=2",
"81/3=27",
"2*27=54"
] | Current State: 54:[46, 81, 44, 3], Operations: []
Exploring Operation: 46-44=2, Resulting Numbers: [81, 3, 2]
Generated Node #2: [81, 3, 2] from Operation: 46-44=2
Current State: 54:[81, 3, 2], Operations: ['46-44=2']
Exploring Operation: 81/3=27, Resulting Numbers: [2, 27]
Generated Node #3: [2, 27] from Operation: 81/3=27
Current State: 54:[2, 27], Operations: ['46-44=2', '81/3=27']
Exploring Operation: 2*27=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
42,
16,
44,
40
] | 61 | [
"42*40=1680",
"1680/16=105",
"105-44=61"
] | Current State: 61:[42, 16, 44, 40], Operations: []
Exploring Operation: 42*40=1680, Resulting Numbers: [16, 44, 1680]
Generated Node #2: [16, 44, 1680] from Operation: 42*40=1680
Current State: 61:[16, 44, 1680], Operations: ['42*40=1680']
Exploring Operation: 1680/16=105, Resulting Numbers: [44, 105]
Generated Node #3: [44, 105] from Operation: 1680/16=105
Current State: 61:[44, 105], Operations: ['42*40=1680', '1680/16=105']
Exploring Operation: 105-44=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
26,
68,
24,
20
] | 76 | [
"26-20=6",
"24*6=144",
"144-68=76"
] | Current State: 76:[26, 68, 24, 20], Operations: []
Exploring Operation: 26-20=6, Resulting Numbers: [68, 24, 6]
Generated Node #2: [68, 24, 6] from Operation: 26-20=6
Current State: 76:[68, 24, 6], Operations: ['26-20=6']
Exploring Operation: 24*6=144, Resulting Numbers: [68, 144]
Generated Node #3: [68, 144] from Operation: 24*6=144
Current State: 76:[68, 144], Operations: ['26-20=6', '24*6=144']
Exploring Operation: 144-68=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
1,
45,
4,
44
] | 22 | [
"45-1=44",
"44+44=88",
"88/4=22"
] | Current State: 22:[1, 45, 4, 44], Operations: []
Exploring Operation: 45-1=44, Resulting Numbers: [4, 44, 44]
Generated Node #2: [4, 44, 44] from Operation: 45-1=44
Current State: 22:[4, 44, 44], Operations: ['45-1=44']
Exploring Operation: 44+44=88, Resulting Numbers: [4, 88]
Generated Node #3: [4, 88] from Operation: 44+44=88
Current State: 22:[4, 88], Operations: ['45-1=44', '44+44=88']
Exploring Operation: 88/4=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
92,
46,
82,
3
] | 83 | [
"92/46=2",
"82+3=85",
"85-2=83"
] | Current State: 83:[92, 46, 82, 3], Operations: []
Exploring Operation: 92/46=2, Resulting Numbers: [82, 3, 2]
Generated Node #2: [82, 3, 2] from Operation: 92/46=2
Current State: 83:[82, 3, 2], Operations: ['92/46=2']
Exploring Operation: 82+3=85, Resulting Numbers: [2, 85]
Generated Node #3: [2, 85] from Operation: 82+3=85
Current State: 83:[2, 85], Operations: ['92/46=2', '82+3=85']
Exploring Operation: 85-2=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
5,
30,
34,
32
] | 60 | [
"30/5=6",
"34+32=66",
"66-6=60"
] | Current State: 60:[5, 30, 34, 32], Operations: []
Exploring Operation: 30/5=6, Resulting Numbers: [34, 32, 6]
Generated Node #2: [34, 32, 6] from Operation: 30/5=6
Current State: 60:[34, 32, 6], Operations: ['30/5=6']
Exploring Operation: 34+32=66, Resulting Numbers: [6, 66]
Generated Node #3: [6, 66] from Operation: 34+32=66
Current State: 60:[6, 66], Operations: ['30/5=6', '34+32=66']
Exploring Operation: 66-6=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
48,
4,
26,
8
] | 62 | [
"48-4=44",
"26-8=18",
"44+18=62"
] | Current State: 62:[48, 4, 26, 8], Operations: []
Exploring Operation: 48-4=44, Resulting Numbers: [26, 8, 44]
Generated Node #2: [26, 8, 44] from Operation: 48-4=44
Current State: 62:[26, 8, 44], Operations: ['48-4=44']
Exploring Operation: 26-8=18, Resulting Numbers: [44, 18]
Generated Node #3: [44, 18] from Operation: 26-8=18
Current State: 62:[44, 18], Operations: ['48-4=44', '26-8=18']
Exploring Operation: 44+18=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
81,
13,
12,
97
] | 17 | [
"81-13=68",
"97-12=85",
"85-68=17"
] | Current State: 17:[81, 13, 12, 97], Operations: []
Exploring Operation: 81-13=68, Resulting Numbers: [12, 97, 68]
Generated Node #2: [12, 97, 68] from Operation: 81-13=68
Current State: 17:[12, 97, 68], Operations: ['81-13=68']
Exploring Operation: 97-12=85, Resulting Numbers: [68, 85]
Generated Node #3: [68, 85] from Operation: 97-12=85
Current State: 17:[68, 85], Operations: ['81-13=68', '97-12=85']
Exploring Operation: 85-68=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
53,
31,
34,
69
] | 41 | [
"31*69=2139",
"34+2139=2173",
"2173/53=41"
] | Current State: 41:[53, 31, 34, 69], Operations: []
Exploring Operation: 31*69=2139, Resulting Numbers: [53, 34, 2139]
Generated Node #2: [53, 34, 2139] from Operation: 31*69=2139
Current State: 41:[53, 34, 2139], Operations: ['31*69=2139']
Exploring Operation: 34+2139=2173, Resulting Numbers: [53, 2173]
Generated Node #3: [53, 2173] from Operation: 34+2139=2173
Current State: 41:[53, 2173], Operations: ['31*69=2139', '34+2139=2173']
Exploring Operation: 2173/53=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
73,
44,
4,
71
] | 92 | [
"73-71=2",
"44*2=88",
"4+88=92"
] | Current State: 92:[73, 44, 4, 71], Operations: []
Exploring Operation: 73-71=2, Resulting Numbers: [44, 4, 2]
Generated Node #2: [44, 4, 2] from Operation: 73-71=2
Current State: 92:[44, 4, 2], Operations: ['73-71=2']
Exploring Operation: 44*2=88, Resulting Numbers: [4, 88]
Generated Node #3: [4, 88] from Operation: 44*2=88
Current State: 92:[4, 88], Operations: ['73-71=2', '44*2=88']
Exploring Operation: 4+88=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
18,
72,
37,
24
] | 65 | [
"72/18=4",
"37+24=61",
"4+61=65"
] | Current State: 65:[18, 72, 37, 24], Operations: []
Exploring Operation: 72/18=4, Resulting Numbers: [37, 24, 4]
Generated Node #2: [37, 24, 4] from Operation: 72/18=4
Current State: 65:[37, 24, 4], Operations: ['72/18=4']
Exploring Operation: 37+24=61, Resulting Numbers: [4, 61]
Generated Node #3: [4, 61] from Operation: 37+24=61
Current State: 65:[4, 61], Operations: ['72/18=4', '37+24=61']
Exploring Operation: 4+61=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
24,
14,
10,
12
] | 22 | [
"24/12=2",
"14+10=24",
"24-2=22"
] | Current State: 22:[24, 14, 10, 12], Operations: []
Exploring Operation: 24/12=2, Resulting Numbers: [14, 10, 2]
Generated Node #2: [14, 10, 2] from Operation: 24/12=2
Current State: 22:[14, 10, 2], Operations: ['24/12=2']
Exploring Operation: 14+10=24, Resulting Numbers: [2, 24]
Generated Node #3: [2, 24] from Operation: 14+10=24
Current State: 22:[2, 24], Operations: ['24/12=2', '14+10=24']
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
59,
90,
13,
84
] | 66 | [
"90-59=31",
"13+84=97",
"97-31=66"
] | Current State: 66:[59, 90, 13, 84], Operations: []
Exploring Operation: 90-59=31, Resulting Numbers: [13, 84, 31]
Generated Node #2: [13, 84, 31] from Operation: 90-59=31
Current State: 66:[13, 84, 31], Operations: ['90-59=31']
Exploring Operation: 13+84=97, Resulting Numbers: [31, 97]
Generated Node #3: [31, 97] from Operation: 13+84=97
Current State: 66:[31, 97], Operations: ['90-59=31', '13+84=97']
Exploring Operation: 97-31=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
8,
44,
76,
53
] | 57 | [
"76-44=32",
"32/8=4",
"53+4=57"
] | Current State: 57:[8, 44, 76, 53], Operations: []
Exploring Operation: 76-44=32, Resulting Numbers: [8, 53, 32]
Generated Node #2: [8, 53, 32] from Operation: 76-44=32
Current State: 57:[8, 53, 32], Operations: ['76-44=32']
Exploring Operation: 32/8=4, Resulting Numbers: [53, 4]
Generated Node #3: [53, 4] from Operation: 32/8=4
Current State: 57:[53, 4], Operations: ['76-44=32', '32/8=4']
Exploring Operation: 53+4=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
58,
94,
18,
29
] | 58 | [
"94-58=36",
"36/18=2",
"29*2=58"
] | Current State: 58:[58, 94, 18, 29], Operations: []
Exploring Operation: 94-58=36, Resulting Numbers: [18, 29, 36]
Generated Node #2: [18, 29, 36] from Operation: 94-58=36
Current State: 58:[18, 29, 36], Operations: ['94-58=36']
Exploring Operation: 36/18=2, Resulting Numbers: [29, 2]
Generated Node #3: [29, 2] from Operation: 36/18=2
Current State: 58:[29, 2], Operations: ['94-58=36', '36/18=2']
Exploring Operation: 29*2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
42,
29,
2,
48
] | 16 | [
"42+48=90",
"90/2=45",
"45-29=16"
] | Current State: 16:[42, 29, 2, 48], Operations: []
Exploring Operation: 42+48=90, Resulting Numbers: [29, 2, 90]
Generated Node #2: [29, 2, 90] from Operation: 42+48=90
Current State: 16:[29, 2, 90], Operations: ['42+48=90']
Exploring Operation: 90/2=45, Resulting Numbers: [29, 45]
Generated Node #3: [29, 45] from Operation: 90/2=45
Current State: 16:[29, 45], Operations: ['42+48=90', '90/2=45']
Exploring Operation: 45-29=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
74,
5,
2,
84
] | 40 | [
"74+2=76",
"84-76=8",
"5*8=40"
] | Current State: 40:[74, 5, 2, 84], Operations: []
Exploring Operation: 74+2=76, Resulting Numbers: [5, 84, 76]
Generated Node #2: [5, 84, 76] from Operation: 74+2=76
Current State: 40:[5, 84, 76], Operations: ['74+2=76']
Exploring Operation: 84-76=8, Resulting Numbers: [5, 8]
Generated Node #3: [5, 8] from Operation: 84-76=8
Current State: 40:[5, 8], Operations: ['74+2=76', '84-76=8']
Exploring Operation: 5*8=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
50,
58,
13,
41
] | 20 | [
"58-50=8",
"41-13=28",
"28-8=20"
] | Current State: 20:[50, 58, 13, 41], Operations: []
Exploring Operation: 58-50=8, Resulting Numbers: [13, 41, 8]
Generated Node #2: [13, 41, 8] from Operation: 58-50=8
Current State: 20:[13, 41, 8], Operations: ['58-50=8']
Exploring Operation: 41-13=28, Resulting Numbers: [8, 28]
Generated Node #3: [8, 28] from Operation: 41-13=28
Current State: 20:[8, 28], Operations: ['58-50=8', '41-13=28']
Exploring Operation: 28-8=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
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