nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
22,
24,
50,
20
] | 23 | [
"22+50=72",
"72/24=3",
"20+3=23"
] | Current State: 23:[22, 24, 50, 20], Operations: []
Exploring Operation: 22+50=72, Resulting Numbers: [24, 20, 72]
Generated Node #2: [24, 20, 72] from Operation: 22+50=72
Current State: 23:[24, 20, 72], Operations: ['22+50=72']
Exploring Operation: 72/24=3, Resulting Numbers: [20, 3]
Generated Node #3: [20, 3] from Operation: 72/24=3
Current State: 23:[20, 3], Operations: ['22+50=72', '72/24=3']
Exploring Operation: 20+3=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
38,
98,
70,
49
] | 89 | [
"38*49=1862",
"1862/98=19",
"70+19=89"
] | Current State: 89:[38, 98, 70, 49], Operations: []
Exploring Operation: 38*49=1862, Resulting Numbers: [98, 70, 1862]
Generated Node #2: [98, 70, 1862] from Operation: 38*49=1862
Current State: 89:[98, 70, 1862], Operations: ['38*49=1862']
Exploring Operation: 1862/98=19, Resulting Numbers: [70, 19]
Generated Node #3: [70, 19] from Operation: 1862/98=19
Current State: 89:[70, 19], Operations: ['38*49=1862', '1862/98=19']
Exploring Operation: 70+19=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
55,
55,
90,
2
] | 90 | [
"55-55=0",
"2*0=0",
"90+0=90"
] | Current State: 90:[55, 55, 90, 2], Operations: []
Exploring Operation: 55-55=0, Resulting Numbers: [90, 2, 0]
Generated Node #2: [90, 2, 0] from Operation: 55-55=0
Current State: 90:[90, 2, 0], Operations: ['55-55=0']
Exploring Operation: 2*0=0, Resulting Numbers: [90, 0]
Generated Node #3: [90, 0] from Operation: 2*0=0
Current State: 90:[90, 0], Operations: ['55-55=0', '2*0=0']
Exploring Operation: 90+0=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
30,
46,
71,
46
] | 40 | [
"71-30=41",
"46/46=1",
"41-1=40"
] | Current State: 40:[30, 46, 71, 46], Operations: []
Exploring Operation: 71-30=41, Resulting Numbers: [46, 46, 41]
Generated Node #2: [46, 46, 41] from Operation: 71-30=41
Current State: 40:[46, 46, 41], Operations: ['71-30=41']
Exploring Operation: 46/46=1, Resulting Numbers: [41, 1]
Generated Node #3: [41, 1] from Operation: 46/46=1
Current State: 40:[41, 1], Operations: ['71-30=41', '46/46=1']
Exploring Operation: 41-1=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
21,
73,
3,
15
] | 47 | [
"73-21=52",
"15/3=5",
"52-5=47"
] | Current State: 47:[21, 73, 3, 15], Operations: []
Exploring Operation: 73-21=52, Resulting Numbers: [3, 15, 52]
Generated Node #2: [3, 15, 52] from Operation: 73-21=52
Current State: 47:[3, 15, 52], Operations: ['73-21=52']
Exploring Operation: 15/3=5, Resulting Numbers: [52, 5]
Generated Node #3: [52, 5] from Operation: 15/3=5
Current State: 47:[52, 5], Operations: ['73-21=52', '15/3=5']
Exploring Operation: 52-5=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
93,
62,
65,
15
] | 48 | [
"65-62=3",
"15*3=45",
"93-45=48"
] | Current State: 48:[93, 62, 65, 15], Operations: []
Exploring Operation: 65-62=3, Resulting Numbers: [93, 15, 3]
Generated Node #2: [93, 15, 3] from Operation: 65-62=3
Current State: 48:[93, 15, 3], Operations: ['65-62=3']
Exploring Operation: 15*3=45, Resulting Numbers: [93, 45]
Generated Node #3: [93, 45] from Operation: 15*3=45
Current State: 48:[93, 45], Operations: ['65-62=3', '15*3=45']
Exploring Operation: 93-45=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
18,
40,
12,
60
] | 38 | [
"18+12=30",
"60/30=2",
"40-2=38"
] | Current State: 38:[18, 40, 12, 60], Operations: []
Exploring Operation: 18+12=30, Resulting Numbers: [40, 60, 30]
Generated Node #2: [40, 60, 30] from Operation: 18+12=30
Current State: 38:[40, 60, 30], Operations: ['18+12=30']
Exploring Operation: 60/30=2, Resulting Numbers: [40, 2]
Generated Node #3: [40, 2] from Operation: 60/30=2
Current State: 38:[40, 2], Operations: ['18+12=30', '60/30=2']
Exploring Operation: 40-2=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
48,
2,
49,
68
] | 93 | [
"48/2=24",
"49+68=117",
"117-24=93"
] | Current State: 93:[48, 2, 49, 68], Operations: []
Exploring Operation: 48/2=24, Resulting Numbers: [49, 68, 24]
Generated Node #2: [49, 68, 24] from Operation: 48/2=24
Current State: 93:[49, 68, 24], Operations: ['48/2=24']
Exploring Operation: 49+68=117, Resulting Numbers: [24, 117]
Generated Node #3: [24, 117] from Operation: 49+68=117
Current State: 93:[24, 117], Operations: ['48/2=24', '49+68=117']
Exploring Operation: 117-24=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
40,
62,
60,
13
] | 69 | [
"62-40=22",
"60-13=47",
"22+47=69"
] | Current State: 69:[40, 62, 60, 13], Operations: []
Exploring Operation: 62-40=22, Resulting Numbers: [60, 13, 22]
Generated Node #2: [60, 13, 22] from Operation: 62-40=22
Current State: 69:[60, 13, 22], Operations: ['62-40=22']
Exploring Operation: 60-13=47, Resulting Numbers: [22, 47]
Generated Node #3: [22, 47] from Operation: 60-13=47
Current State: 69:[22, 47], Operations: ['62-40=22', '60-13=47']
Exploring Operation: 22+47=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
13,
14,
90,
21
] | 69 | [
"14-13=1",
"90-21=69",
"1*69=69"
] | Current State: 69:[13, 14, 90, 21], Operations: []
Exploring Operation: 14-13=1, Resulting Numbers: [90, 21, 1]
Generated Node #2: [90, 21, 1] from Operation: 14-13=1
Current State: 69:[90, 21, 1], Operations: ['14-13=1']
Exploring Operation: 90-21=69, Resulting Numbers: [1, 69]
Generated Node #3: [1, 69] from Operation: 90-21=69
Current State: 69:[1, 69], Operations: ['14-13=1', '90-21=69']
Exploring Operation: 1*69=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
25,
75,
70,
6
] | 24 | [
"25+75=100",
"70+6=76",
"100-76=24"
] | Current State: 24:[25, 75, 70, 6], Operations: []
Exploring Operation: 25+75=100, Resulting Numbers: [70, 6, 100]
Generated Node #2: [70, 6, 100] from Operation: 25+75=100
Current State: 24:[70, 6, 100], Operations: ['25+75=100']
Exploring Operation: 70+6=76, Resulting Numbers: [100, 76]
Generated Node #3: [100, 76] from Operation: 70+6=76
Current State: 24:[100, 76], Operations: ['25+75=100', '70+6=76']
Exploring Operation: 100-76=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
63,
29,
70,
50
] | 54 | [
"63-29=34",
"70-50=20",
"34+20=54"
] | Current State: 54:[63, 29, 70, 50], Operations: []
Exploring Operation: 63-29=34, Resulting Numbers: [70, 50, 34]
Generated Node #2: [70, 50, 34] from Operation: 63-29=34
Current State: 54:[70, 50, 34], Operations: ['63-29=34']
Exploring Operation: 70-50=20, Resulting Numbers: [34, 20]
Generated Node #3: [34, 20] from Operation: 70-50=20
Current State: 54:[34, 20], Operations: ['63-29=34', '70-50=20']
Exploring Operation: 34+20=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
28,
38,
71,
91
] | 46 | [
"28+38=66",
"91-71=20",
"66-20=46"
] | Current State: 46:[28, 38, 71, 91], Operations: []
Exploring Operation: 28+38=66, Resulting Numbers: [71, 91, 66]
Generated Node #2: [71, 91, 66] from Operation: 28+38=66
Current State: 46:[71, 91, 66], Operations: ['28+38=66']
Exploring Operation: 91-71=20, Resulting Numbers: [66, 20]
Generated Node #3: [66, 20] from Operation: 91-71=20
Current State: 46:[66, 20], Operations: ['28+38=66', '91-71=20']
Exploring Operation: 66-20=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
6,
10,
71,
61
] | 14 | [
"10-6=4",
"71-61=10",
"4+10=14"
] | Current State: 14:[6, 10, 71, 61], Operations: []
Exploring Operation: 10-6=4, Resulting Numbers: [71, 61, 4]
Generated Node #2: [71, 61, 4] from Operation: 10-6=4
Current State: 14:[71, 61, 4], Operations: ['10-6=4']
Exploring Operation: 71-61=10, Resulting Numbers: [4, 10]
Generated Node #3: [4, 10] from Operation: 71-61=10
Current State: 14:[4, 10], Operations: ['10-6=4', '71-61=10']
Exploring Operation: 4+10=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
76,
20,
28,
50
] | 52 | [
"76-20=56",
"56/28=2",
"50+2=52"
] | Current State: 52:[76, 20, 28, 50], Operations: []
Exploring Operation: 76-20=56, Resulting Numbers: [28, 50, 56]
Generated Node #2: [28, 50, 56] from Operation: 76-20=56
Current State: 52:[28, 50, 56], Operations: ['76-20=56']
Exploring Operation: 56/28=2, Resulting Numbers: [50, 2]
Generated Node #3: [50, 2] from Operation: 56/28=2
Current State: 52:[50, 2], Operations: ['76-20=56', '56/28=2']
Exploring Operation: 50+2=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
90,
43,
62,
45
] | 26 | [
"90+43=133",
"62+45=107",
"133-107=26"
] | Current State: 26:[90, 43, 62, 45], Operations: []
Exploring Operation: 90+43=133, Resulting Numbers: [62, 45, 133]
Generated Node #2: [62, 45, 133] from Operation: 90+43=133
Current State: 26:[62, 45, 133], Operations: ['90+43=133']
Exploring Operation: 62+45=107, Resulting Numbers: [133, 107]
Generated Node #3: [133, 107] from Operation: 62+45=107
Current State: 26:[133, 107], Operations: ['90+43=133', '62+45=107']
Exploring Operation: 133-107=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
62,
75,
24,
50
] | 77 | [
"62-50=12",
"24/12=2",
"75+2=77"
] | Current State: 77:[62, 75, 24, 50], Operations: []
Exploring Operation: 62-50=12, Resulting Numbers: [75, 24, 12]
Generated Node #2: [75, 24, 12] from Operation: 62-50=12
Current State: 77:[75, 24, 12], Operations: ['62-50=12']
Exploring Operation: 24/12=2, Resulting Numbers: [75, 2]
Generated Node #3: [75, 2] from Operation: 24/12=2
Current State: 77:[75, 2], Operations: ['62-50=12', '24/12=2']
Exploring Operation: 75+2=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
42,
31,
39,
82
] | 35 | [
"42+82=124",
"124/31=4",
"39-4=35"
] | Current State: 35:[42, 31, 39, 82], Operations: []
Exploring Operation: 42+82=124, Resulting Numbers: [31, 39, 124]
Generated Node #2: [31, 39, 124] from Operation: 42+82=124
Current State: 35:[31, 39, 124], Operations: ['42+82=124']
Exploring Operation: 124/31=4, Resulting Numbers: [39, 4]
Generated Node #3: [39, 4] from Operation: 124/31=4
Current State: 35:[39, 4], Operations: ['42+82=124', '124/31=4']
Exploring Operation: 39-4=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
33,
30,
70,
97
] | 99 | [
"30+70=100",
"100-97=3",
"33*3=99"
] | Current State: 99:[33, 30, 70, 97], Operations: []
Exploring Operation: 30+70=100, Resulting Numbers: [33, 97, 100]
Generated Node #2: [33, 97, 100] from Operation: 30+70=100
Current State: 99:[33, 97, 100], Operations: ['30+70=100']
Exploring Operation: 100-97=3, Resulting Numbers: [33, 3]
Generated Node #3: [33, 3] from Operation: 100-97=3
Current State: 99:[33, 3], Operations: ['30+70=100', '100-97=3']
Exploring Operation: 33*3=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
3,
30,
35,
64
] | 61 | [
"3*30=90",
"64-35=29",
"90-29=61"
] | Current State: 61:[3, 30, 35, 64], Operations: []
Exploring Operation: 3*30=90, Resulting Numbers: [35, 64, 90]
Generated Node #2: [35, 64, 90] from Operation: 3*30=90
Current State: 61:[35, 64, 90], Operations: ['3*30=90']
Exploring Operation: 64-35=29, Resulting Numbers: [90, 29]
Generated Node #3: [90, 29] from Operation: 64-35=29
Current State: 61:[90, 29], Operations: ['3*30=90', '64-35=29']
Exploring Operation: 90-29=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
39,
49,
1,
97
] | 10 | [
"39+49=88",
"1+97=98",
"98-88=10"
] | Current State: 10:[39, 49, 1, 97], Operations: []
Exploring Operation: 39+49=88, Resulting Numbers: [1, 97, 88]
Generated Node #2: [1, 97, 88] from Operation: 39+49=88
Current State: 10:[1, 97, 88], Operations: ['39+49=88']
Exploring Operation: 1+97=98, Resulting Numbers: [88, 98]
Generated Node #3: [88, 98] from Operation: 1+97=98
Current State: 10:[88, 98], Operations: ['39+49=88', '1+97=98']
Exploring Operation: 98-88=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
71,
49,
98,
23
] | 46 | [
"71-23=48",
"98/49=2",
"48-2=46"
] | Current State: 46:[71, 49, 98, 23], Operations: []
Exploring Operation: 71-23=48, Resulting Numbers: [49, 98, 48]
Generated Node #2: [49, 98, 48] from Operation: 71-23=48
Current State: 46:[49, 98, 48], Operations: ['71-23=48']
Exploring Operation: 98/49=2, Resulting Numbers: [48, 2]
Generated Node #3: [48, 2] from Operation: 98/49=2
Current State: 46:[48, 2], Operations: ['71-23=48', '98/49=2']
Exploring Operation: 48-2=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
76,
21,
29,
18
] | 35 | [
"76+29=105",
"21-18=3",
"105/3=35"
] | Current State: 35:[76, 21, 29, 18], Operations: []
Exploring Operation: 76+29=105, Resulting Numbers: [21, 18, 105]
Generated Node #2: [21, 18, 105] from Operation: 76+29=105
Current State: 35:[21, 18, 105], Operations: ['76+29=105']
Exploring Operation: 21-18=3, Resulting Numbers: [105, 3]
Generated Node #3: [105, 3] from Operation: 21-18=3
Current State: 35:[105, 3], Operations: ['76+29=105', '21-18=3']
Exploring Operation: 105/3=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
79,
65,
67,
16
] | 93 | [
"79+65=144",
"67-16=51",
"144-51=93"
] | Current State: 93:[79, 65, 67, 16], Operations: []
Exploring Operation: 79+65=144, Resulting Numbers: [67, 16, 144]
Generated Node #2: [67, 16, 144] from Operation: 79+65=144
Current State: 93:[67, 16, 144], Operations: ['79+65=144']
Exploring Operation: 67-16=51, Resulting Numbers: [144, 51]
Generated Node #3: [144, 51] from Operation: 67-16=51
Current State: 93:[144, 51], Operations: ['79+65=144', '67-16=51']
Exploring Operation: 144-51=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
66,
94,
34,
97
] | 97 | [
"66+94=160",
"97-34=63",
"160-63=97"
] | Current State: 97:[66, 94, 34, 97], Operations: []
Exploring Operation: 66+94=160, Resulting Numbers: [34, 97, 160]
Generated Node #2: [34, 97, 160] from Operation: 66+94=160
Current State: 97:[34, 97, 160], Operations: ['66+94=160']
Exploring Operation: 97-34=63, Resulting Numbers: [160, 63]
Generated Node #3: [160, 63] from Operation: 97-34=63
Current State: 97:[160, 63], Operations: ['66+94=160', '97-34=63']
Exploring Operation: 160-63=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
62,
43,
24,
18
] | 62 | [
"43-24=19",
"19-18=1",
"62*1=62"
] | Current State: 62:[62, 43, 24, 18], Operations: []
Exploring Operation: 43-24=19, Resulting Numbers: [62, 18, 19]
Generated Node #2: [62, 18, 19] from Operation: 43-24=19
Current State: 62:[62, 18, 19], Operations: ['43-24=19']
Exploring Operation: 19-18=1, Resulting Numbers: [62, 1]
Generated Node #3: [62, 1] from Operation: 19-18=1
Current State: 62:[62, 1], Operations: ['43-24=19', '19-18=1']
Exploring Operation: 62*1=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
40,
94,
25,
94
] | 65 | [
"40+94=134",
"94-25=69",
"134-69=65"
] | Current State: 65:[40, 94, 25, 94], Operations: []
Exploring Operation: 40+94=134, Resulting Numbers: [25, 134]
Generated Node #2: [25, 134] from Operation: 40+94=134
Current State: 65:[25, 134], Operations: ['40+94=134']
Exploring Operation: 94-25=69, Resulting Numbers: [134, 69]
Generated Node #3: [134, 69] from Operation: 94-25=69
Current State: 65:[134, 69], Operations: ['40+94=134', '94-25=69']
Exploring Operation: 134-69=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
27,
12,
35,
96
] | 76 | [
"27-12=15",
"96-35=61",
"15+61=76"
] | Current State: 76:[27, 12, 35, 96], Operations: []
Exploring Operation: 27-12=15, Resulting Numbers: [35, 96, 15]
Generated Node #2: [35, 96, 15] from Operation: 27-12=15
Current State: 76:[35, 96, 15], Operations: ['27-12=15']
Exploring Operation: 96-35=61, Resulting Numbers: [15, 61]
Generated Node #3: [15, 61] from Operation: 96-35=61
Current State: 76:[15, 61], Operations: ['27-12=15', '96-35=61']
Exploring Operation: 15+61=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
12,
90,
35,
41
] | 27 | [
"41-35=6",
"90/6=15",
"12+15=27"
] | Current State: 27:[12, 90, 35, 41], Operations: []
Exploring Operation: 41-35=6, Resulting Numbers: [12, 90, 6]
Generated Node #2: [12, 90, 6] from Operation: 41-35=6
Current State: 27:[12, 90, 6], Operations: ['41-35=6']
Exploring Operation: 90/6=15, Resulting Numbers: [12, 15]
Generated Node #3: [12, 15] from Operation: 90/6=15
Current State: 27:[12, 15], Operations: ['41-35=6', '90/6=15']
Exploring Operation: 12+15=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
14,
31,
66,
91
] | 42 | [
"31-14=17",
"91-66=25",
"17+25=42"
] | Current State: 42:[14, 31, 66, 91], Operations: []
Exploring Operation: 31-14=17, Resulting Numbers: [66, 91, 17]
Generated Node #2: [66, 91, 17] from Operation: 31-14=17
Current State: 42:[66, 91, 17], Operations: ['31-14=17']
Exploring Operation: 91-66=25, Resulting Numbers: [17, 25]
Generated Node #3: [17, 25] from Operation: 91-66=25
Current State: 42:[17, 25], Operations: ['31-14=17', '91-66=25']
Exploring Operation: 17+25=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
99,
16,
53,
61
] | 29 | [
"61-53=8",
"16*8=128",
"128-99=29"
] | Current State: 29:[99, 16, 53, 61], Operations: []
Exploring Operation: 61-53=8, Resulting Numbers: [99, 16, 8]
Generated Node #2: [99, 16, 8] from Operation: 61-53=8
Current State: 29:[99, 16, 8], Operations: ['61-53=8']
Exploring Operation: 16*8=128, Resulting Numbers: [99, 128]
Generated Node #3: [99, 128] from Operation: 16*8=128
Current State: 29:[99, 128], Operations: ['61-53=8', '16*8=128']
Exploring Operation: 128-99=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
70,
58,
69,
85
] | 28 | [
"70-58=12",
"85-69=16",
"12+16=28"
] | Current State: 28:[70, 58, 69, 85], Operations: []
Exploring Operation: 70-58=12, Resulting Numbers: [69, 85, 12]
Generated Node #2: [69, 85, 12] from Operation: 70-58=12
Current State: 28:[69, 85, 12], Operations: ['70-58=12']
Exploring Operation: 85-69=16, Resulting Numbers: [12, 16]
Generated Node #3: [12, 16] from Operation: 85-69=16
Current State: 28:[12, 16], Operations: ['70-58=12', '85-69=16']
Exploring Operation: 12+16=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
97,
88,
44,
37
] | 62 | [
"97-37=60",
"88/44=2",
"60+2=62"
] | Current State: 62:[97, 88, 44, 37], Operations: []
Exploring Operation: 97-37=60, Resulting Numbers: [88, 44, 60]
Generated Node #2: [88, 44, 60] from Operation: 97-37=60
Current State: 62:[88, 44, 60], Operations: ['97-37=60']
Exploring Operation: 88/44=2, Resulting Numbers: [60, 2]
Generated Node #3: [60, 2] from Operation: 88/44=2
Current State: 62:[60, 2], Operations: ['97-37=60', '88/44=2']
Exploring Operation: 60+2=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
18,
78,
12,
68
] | 41 | [
"12*68=816",
"816-78=738",
"738/18=41"
] | Current State: 41:[18, 78, 12, 68], Operations: []
Exploring Operation: 12*68=816, Resulting Numbers: [18, 78, 816]
Generated Node #2: [18, 78, 816] from Operation: 12*68=816
Current State: 41:[18, 78, 816], Operations: ['12*68=816']
Exploring Operation: 816-78=738, Resulting Numbers: [18, 738]
Generated Node #3: [18, 738] from Operation: 816-78=738
Current State: 41:[18, 738], Operations: ['12*68=816', '816-78=738']
Exploring Operation: 738/18=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
80,
4,
14,
78
] | 84 | [
"80+4=84",
"84/14=6",
"78+6=84"
] | Current State: 84:[80, 4, 14, 78], Operations: []
Exploring Operation: 80+4=84, Resulting Numbers: [14, 78, 84]
Generated Node #2: [14, 78, 84] from Operation: 80+4=84
Current State: 84:[14, 78, 84], Operations: ['80+4=84']
Exploring Operation: 84/14=6, Resulting Numbers: [78, 6]
Generated Node #3: [78, 6] from Operation: 84/14=6
Current State: 84:[78, 6], Operations: ['80+4=84', '84/14=6']
Exploring Operation: 78+6=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
39,
61,
5,
17
] | 93 | [
"61-39=22",
"5*22=110",
"110-17=93"
] | Current State: 93:[39, 61, 5, 17], Operations: []
Exploring Operation: 61-39=22, Resulting Numbers: [5, 17, 22]
Generated Node #2: [5, 17, 22] from Operation: 61-39=22
Current State: 93:[5, 17, 22], Operations: ['61-39=22']
Exploring Operation: 5*22=110, Resulting Numbers: [17, 110]
Generated Node #3: [17, 110] from Operation: 5*22=110
Current State: 93:[17, 110], Operations: ['61-39=22', '5*22=110']
Exploring Operation: 110-17=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
31,
56,
37,
62
] | 18 | [
"62/31=2",
"37*2=74",
"74-56=18"
] | Current State: 18:[31, 56, 37, 62], Operations: []
Exploring Operation: 62/31=2, Resulting Numbers: [56, 37, 2]
Generated Node #2: [56, 37, 2] from Operation: 62/31=2
Current State: 18:[56, 37, 2], Operations: ['62/31=2']
Exploring Operation: 37*2=74, Resulting Numbers: [56, 74]
Generated Node #3: [56, 74] from Operation: 37*2=74
Current State: 18:[56, 74], Operations: ['62/31=2', '37*2=74']
Exploring Operation: 74-56=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
43,
54,
70,
57
] | 24 | [
"54-43=11",
"70-57=13",
"11+13=24"
] | Current State: 24:[43, 54, 70, 57], Operations: []
Exploring Operation: 54-43=11, Resulting Numbers: [70, 57, 11]
Generated Node #2: [70, 57, 11] from Operation: 54-43=11
Current State: 24:[70, 57, 11], Operations: ['54-43=11']
Exploring Operation: 70-57=13, Resulting Numbers: [11, 13]
Generated Node #3: [11, 13] from Operation: 70-57=13
Current State: 24:[11, 13], Operations: ['54-43=11', '70-57=13']
Exploring Operation: 11+13=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
84,
19,
9,
83
] | 11 | [
"84+19=103",
"9+83=92",
"103-92=11"
] | Current State: 11:[84, 19, 9, 83], Operations: []
Exploring Operation: 84+19=103, Resulting Numbers: [9, 83, 103]
Generated Node #2: [9, 83, 103] from Operation: 84+19=103
Current State: 11:[9, 83, 103], Operations: ['84+19=103']
Exploring Operation: 9+83=92, Resulting Numbers: [103, 92]
Generated Node #3: [103, 92] from Operation: 9+83=92
Current State: 11:[103, 92], Operations: ['84+19=103', '9+83=92']
Exploring Operation: 103-92=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
80,
74,
82,
22
] | 89 | [
"80+74=154",
"154/22=7",
"82+7=89"
] | Current State: 89:[80, 74, 82, 22], Operations: []
Exploring Operation: 80+74=154, Resulting Numbers: [82, 22, 154]
Generated Node #2: [82, 22, 154] from Operation: 80+74=154
Current State: 89:[82, 22, 154], Operations: ['80+74=154']
Exploring Operation: 154/22=7, Resulting Numbers: [82, 7]
Generated Node #3: [82, 7] from Operation: 154/22=7
Current State: 89:[82, 7], Operations: ['80+74=154', '154/22=7']
Exploring Operation: 82+7=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
77,
23,
59,
9
] | 46 | [
"77-59=18",
"23*18=414",
"414/9=46"
] | Current State: 46:[77, 23, 59, 9], Operations: []
Exploring Operation: 77-59=18, Resulting Numbers: [23, 9, 18]
Generated Node #2: [23, 9, 18] from Operation: 77-59=18
Current State: 46:[23, 9, 18], Operations: ['77-59=18']
Exploring Operation: 23*18=414, Resulting Numbers: [9, 414]
Generated Node #3: [9, 414] from Operation: 23*18=414
Current State: 46:[9, 414], Operations: ['77-59=18', '23*18=414']
Exploring Operation: 414/9=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
57,
47,
61,
75
] | 24 | [
"57-47=10",
"75-61=14",
"10+14=24"
] | Current State: 24:[57, 47, 61, 75], Operations: []
Exploring Operation: 57-47=10, Resulting Numbers: [61, 75, 10]
Generated Node #2: [61, 75, 10] from Operation: 57-47=10
Current State: 24:[61, 75, 10], Operations: ['57-47=10']
Exploring Operation: 75-61=14, Resulting Numbers: [10, 14]
Generated Node #3: [10, 14] from Operation: 75-61=14
Current State: 24:[10, 14], Operations: ['57-47=10', '75-61=14']
Exploring Operation: 10+14=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
60,
5,
71,
15
] | 14 | [
"71-60=11",
"15/5=3",
"11+3=14"
] | Current State: 14:[60, 5, 71, 15], Operations: []
Exploring Operation: 71-60=11, Resulting Numbers: [5, 15, 11]
Generated Node #2: [5, 15, 11] from Operation: 71-60=11
Current State: 14:[5, 15, 11], Operations: ['71-60=11']
Exploring Operation: 15/5=3, Resulting Numbers: [11, 3]
Generated Node #3: [11, 3] from Operation: 15/5=3
Current State: 14:[11, 3], Operations: ['71-60=11', '15/5=3']
Exploring Operation: 11+3=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
47,
40,
4,
23
] | 20 | [
"47-40=7",
"4+23=27",
"27-7=20"
] | Current State: 20:[47, 40, 4, 23], Operations: []
Exploring Operation: 47-40=7, Resulting Numbers: [4, 23, 7]
Generated Node #2: [4, 23, 7] from Operation: 47-40=7
Current State: 20:[4, 23, 7], Operations: ['47-40=7']
Exploring Operation: 4+23=27, Resulting Numbers: [7, 27]
Generated Node #3: [7, 27] from Operation: 4+23=27
Current State: 20:[7, 27], Operations: ['47-40=7', '4+23=27']
Exploring Operation: 27-7=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
30,
91,
25,
5
] | 56 | [
"91-30=61",
"25/5=5",
"61-5=56"
] | Current State: 56:[30, 91, 25, 5], Operations: []
Exploring Operation: 91-30=61, Resulting Numbers: [25, 5, 61]
Generated Node #2: [25, 5, 61] from Operation: 91-30=61
Current State: 56:[25, 5, 61], Operations: ['91-30=61']
Exploring Operation: 25/5=5, Resulting Numbers: [61, 5]
Generated Node #3: [61, 5] from Operation: 25/5=5
Current State: 56:[61, 5], Operations: ['91-30=61', '25/5=5']
Exploring Operation: 61-5=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
4,
34,
71,
37
] | 59 | [
"37-34=3",
"4*3=12",
"71-12=59"
] | Current State: 59:[4, 34, 71, 37], Operations: []
Exploring Operation: 37-34=3, Resulting Numbers: [4, 71, 3]
Generated Node #2: [4, 71, 3] from Operation: 37-34=3
Current State: 59:[4, 71, 3], Operations: ['37-34=3']
Exploring Operation: 4*3=12, Resulting Numbers: [71, 12]
Generated Node #3: [71, 12] from Operation: 4*3=12
Current State: 59:[71, 12], Operations: ['37-34=3', '4*3=12']
Exploring Operation: 71-12=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
46,
47,
6,
31
] | 68 | [
"46+47=93",
"31-6=25",
"93-25=68"
] | Current State: 68:[46, 47, 6, 31], Operations: []
Exploring Operation: 46+47=93, Resulting Numbers: [6, 31, 93]
Generated Node #2: [6, 31, 93] from Operation: 46+47=93
Current State: 68:[6, 31, 93], Operations: ['46+47=93']
Exploring Operation: 31-6=25, Resulting Numbers: [93, 25]
Generated Node #3: [93, 25] from Operation: 31-6=25
Current State: 68:[93, 25], Operations: ['46+47=93', '31-6=25']
Exploring Operation: 93-25=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
2,
94,
10,
13
] | 94 | [
"2+10=12",
"13-12=1",
"94*1=94"
] | Current State: 94:[2, 94, 10, 13], Operations: []
Exploring Operation: 2+10=12, Resulting Numbers: [94, 13, 12]
Generated Node #2: [94, 13, 12] from Operation: 2+10=12
Current State: 94:[94, 13, 12], Operations: ['2+10=12']
Exploring Operation: 13-12=1, Resulting Numbers: [94, 1]
Generated Node #3: [94, 1] from Operation: 13-12=1
Current State: 94:[94, 1], Operations: ['2+10=12', '13-12=1']
Exploring Operation: 94*1=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
9,
11,
52,
76
] | 50 | [
"11-9=2",
"52/2=26",
"76-26=50"
] | Current State: 50:[9, 11, 52, 76], Operations: []
Exploring Operation: 11-9=2, Resulting Numbers: [52, 76, 2]
Generated Node #2: [52, 76, 2] from Operation: 11-9=2
Current State: 50:[52, 76, 2], Operations: ['11-9=2']
Exploring Operation: 52/2=26, Resulting Numbers: [76, 26]
Generated Node #3: [76, 26] from Operation: 52/2=26
Current State: 50:[76, 26], Operations: ['11-9=2', '52/2=26']
Exploring Operation: 76-26=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
20,
33,
30,
65
] | 25 | [
"33-20=13",
"65/13=5",
"30-5=25"
] | Current State: 25:[20, 33, 30, 65], Operations: []
Exploring Operation: 33-20=13, Resulting Numbers: [30, 65, 13]
Generated Node #2: [30, 65, 13] from Operation: 33-20=13
Current State: 25:[30, 65, 13], Operations: ['33-20=13']
Exploring Operation: 65/13=5, Resulting Numbers: [30, 5]
Generated Node #3: [30, 5] from Operation: 65/13=5
Current State: 25:[30, 5], Operations: ['33-20=13', '65/13=5']
Exploring Operation: 30-5=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
49,
85,
6,
48
] | 14 | [
"85-49=36",
"48+36=84",
"84/6=14"
] | Current State: 14:[49, 85, 6, 48], Operations: []
Exploring Operation: 85-49=36, Resulting Numbers: [6, 48, 36]
Generated Node #2: [6, 48, 36] from Operation: 85-49=36
Current State: 14:[6, 48, 36], Operations: ['85-49=36']
Exploring Operation: 48+36=84, Resulting Numbers: [6, 84]
Generated Node #3: [6, 84] from Operation: 48+36=84
Current State: 14:[6, 84], Operations: ['85-49=36', '48+36=84']
Exploring Operation: 84/6=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
82,
42,
6,
27
] | 48 | [
"82-27=55",
"42/6=7",
"55-7=48"
] | Current State: 48:[82, 42, 6, 27], Operations: []
Exploring Operation: 82-27=55, Resulting Numbers: [42, 6, 55]
Generated Node #2: [42, 6, 55] from Operation: 82-27=55
Current State: 48:[42, 6, 55], Operations: ['82-27=55']
Exploring Operation: 42/6=7, Resulting Numbers: [55, 7]
Generated Node #3: [55, 7] from Operation: 42/6=7
Current State: 48:[55, 7], Operations: ['82-27=55', '42/6=7']
Exploring Operation: 55-7=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
74,
77,
66,
77
] | 33 | [
"77-74=3",
"77-66=11",
"3*11=33"
] | Current State: 33:[74, 77, 66, 77], Operations: []
Exploring Operation: 77-74=3, Resulting Numbers: [66, 3]
Generated Node #2: [66, 3] from Operation: 77-74=3
Current State: 33:[66, 3], Operations: ['77-74=3']
Exploring Operation: 77-66=11, Resulting Numbers: [3, 11]
Generated Node #3: [3, 11] from Operation: 77-66=11
Current State: 33:[3, 11], Operations: ['77-74=3', '77-66=11']
Exploring Operation: 3*11=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
55,
11,
2,
56
] | 35 | [
"56-11=45",
"2*45=90",
"90-55=35"
] | Current State: 35:[55, 11, 2, 56], Operations: []
Exploring Operation: 56-11=45, Resulting Numbers: [55, 2, 45]
Generated Node #2: [55, 2, 45] from Operation: 56-11=45
Current State: 35:[55, 2, 45], Operations: ['56-11=45']
Exploring Operation: 2*45=90, Resulting Numbers: [55, 90]
Generated Node #3: [55, 90] from Operation: 2*45=90
Current State: 35:[55, 90], Operations: ['56-11=45', '2*45=90']
Exploring Operation: 90-55=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
91,
63,
86,
11
] | 100 | [
"91+63=154",
"154/11=14",
"86+14=100"
] | Current State: 100:[91, 63, 86, 11], Operations: []
Exploring Operation: 91+63=154, Resulting Numbers: [86, 11, 154]
Generated Node #2: [86, 11, 154] from Operation: 91+63=154
Current State: 100:[86, 11, 154], Operations: ['91+63=154']
Exploring Operation: 154/11=14, Resulting Numbers: [86, 14]
Generated Node #3: [86, 14] from Operation: 154/11=14
Current State: 100:[86, 14], Operations: ['91+63=154', '154/11=14']
Exploring Operation: 86+14=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
3,
39,
83,
54
] | 88 | [
"3*39=117",
"83-54=29",
"117-29=88"
] | Current State: 88:[3, 39, 83, 54], Operations: []
Exploring Operation: 3*39=117, Resulting Numbers: [83, 54, 117]
Generated Node #2: [83, 54, 117] from Operation: 3*39=117
Current State: 88:[83, 54, 117], Operations: ['3*39=117']
Exploring Operation: 83-54=29, Resulting Numbers: [117, 29]
Generated Node #3: [117, 29] from Operation: 83-54=29
Current State: 88:[117, 29], Operations: ['3*39=117', '83-54=29']
Exploring Operation: 117-29=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
64,
72,
48,
77
] | 83 | [
"72-64=8",
"48/8=6",
"77+6=83"
] | Current State: 83:[64, 72, 48, 77], Operations: []
Exploring Operation: 72-64=8, Resulting Numbers: [48, 77, 8]
Generated Node #2: [48, 77, 8] from Operation: 72-64=8
Current State: 83:[48, 77, 8], Operations: ['72-64=8']
Exploring Operation: 48/8=6, Resulting Numbers: [77, 6]
Generated Node #3: [77, 6] from Operation: 48/8=6
Current State: 83:[77, 6], Operations: ['72-64=8', '48/8=6']
Exploring Operation: 77+6=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
62,
57,
54,
95
] | 73 | [
"62-57=5",
"95/5=19",
"54+19=73"
] | Current State: 73:[62, 57, 54, 95], Operations: []
Exploring Operation: 62-57=5, Resulting Numbers: [54, 95, 5]
Generated Node #2: [54, 95, 5] from Operation: 62-57=5
Current State: 73:[54, 95, 5], Operations: ['62-57=5']
Exploring Operation: 95/5=19, Resulting Numbers: [54, 19]
Generated Node #3: [54, 19] from Operation: 95/5=19
Current State: 73:[54, 19], Operations: ['62-57=5', '95/5=19']
Exploring Operation: 54+19=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
71,
34,
70,
66
] | 33 | [
"71-34=37",
"70-66=4",
"37-4=33"
] | Current State: 33:[71, 34, 70, 66], Operations: []
Exploring Operation: 71-34=37, Resulting Numbers: [70, 66, 37]
Generated Node #2: [70, 66, 37] from Operation: 71-34=37
Current State: 33:[70, 66, 37], Operations: ['71-34=37']
Exploring Operation: 70-66=4, Resulting Numbers: [37, 4]
Generated Node #3: [37, 4] from Operation: 70-66=4
Current State: 33:[37, 4], Operations: ['71-34=37', '70-66=4']
Exploring Operation: 37-4=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
26,
48,
19,
63
] | 57 | [
"26-19=7",
"63/7=9",
"48+9=57"
] | Current State: 57:[26, 48, 19, 63], Operations: []
Exploring Operation: 26-19=7, Resulting Numbers: [48, 63, 7]
Generated Node #2: [48, 63, 7] from Operation: 26-19=7
Current State: 57:[48, 63, 7], Operations: ['26-19=7']
Exploring Operation: 63/7=9, Resulting Numbers: [48, 9]
Generated Node #3: [48, 9] from Operation: 63/7=9
Current State: 57:[48, 9], Operations: ['26-19=7', '63/7=9']
Exploring Operation: 48+9=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
74,
35,
59,
2
] | 49 | [
"74-35=39",
"59+39=98",
"98/2=49"
] | Current State: 49:[74, 35, 59, 2], Operations: []
Exploring Operation: 74-35=39, Resulting Numbers: [59, 2, 39]
Generated Node #2: [59, 2, 39] from Operation: 74-35=39
Current State: 49:[59, 2, 39], Operations: ['74-35=39']
Exploring Operation: 59+39=98, Resulting Numbers: [2, 98]
Generated Node #3: [2, 98] from Operation: 59+39=98
Current State: 49:[2, 98], Operations: ['74-35=39', '59+39=98']
Exploring Operation: 98/2=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
20,
6,
36,
90
] | 63 | [
"6*90=540",
"540/20=27",
"36+27=63"
] | Current State: 63:[20, 6, 36, 90], Operations: []
Exploring Operation: 6*90=540, Resulting Numbers: [20, 36, 540]
Generated Node #2: [20, 36, 540] from Operation: 6*90=540
Current State: 63:[20, 36, 540], Operations: ['6*90=540']
Exploring Operation: 540/20=27, Resulting Numbers: [36, 27]
Generated Node #3: [36, 27] from Operation: 540/20=27
Current State: 63:[36, 27], Operations: ['6*90=540', '540/20=27']
Exploring Operation: 36+27=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
34,
69,
45,
93
] | 57 | [
"34*93=3162",
"69*45=3105",
"3162-3105=57"
] | Current State: 57:[34, 69, 45, 93], Operations: []
Exploring Operation: 34*93=3162, Resulting Numbers: [69, 45, 3162]
Generated Node #2: [69, 45, 3162] from Operation: 34*93=3162
Current State: 57:[69, 45, 3162], Operations: ['34*93=3162']
Exploring Operation: 69*45=3105, Resulting Numbers: [3162, 3105]
Generated Node #3: [3162, 3105] from Operation: 69*45=3105
Current State: 57:[3162, 3105], Operations: ['34*93=3162', '69*45=3105']
Exploring Operation: 3162-3105=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
6,
31,
38,
9
] | 23 | [
"9-6=3",
"31+38=69",
"69/3=23"
] | Current State: 23:[6, 31, 38, 9], Operations: []
Exploring Operation: 9-6=3, Resulting Numbers: [31, 38, 3]
Generated Node #2: [31, 38, 3] from Operation: 9-6=3
Current State: 23:[31, 38, 3], Operations: ['9-6=3']
Exploring Operation: 31+38=69, Resulting Numbers: [3, 69]
Generated Node #3: [3, 69] from Operation: 31+38=69
Current State: 23:[3, 69], Operations: ['9-6=3', '31+38=69']
Exploring Operation: 69/3=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
4,
7,
73,
21
] | 19 | [
"21/7=3",
"73+3=76",
"76/4=19"
] | Current State: 19:[4, 7, 73, 21], Operations: []
Exploring Operation: 21/7=3, Resulting Numbers: [4, 73, 3]
Generated Node #2: [4, 73, 3] from Operation: 21/7=3
Current State: 19:[4, 73, 3], Operations: ['21/7=3']
Exploring Operation: 73+3=76, Resulting Numbers: [4, 76]
Generated Node #3: [4, 76] from Operation: 73+3=76
Current State: 19:[4, 76], Operations: ['21/7=3', '73+3=76']
Exploring Operation: 76/4=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
14,
7,
4,
36
] | 33 | [
"14-7=7",
"4+36=40",
"40-7=33"
] | Current State: 33:[14, 7, 4, 36], Operations: []
Exploring Operation: 14-7=7, Resulting Numbers: [4, 36, 7]
Generated Node #2: [4, 36, 7] from Operation: 14-7=7
Current State: 33:[4, 36, 7], Operations: ['14-7=7']
Exploring Operation: 4+36=40, Resulting Numbers: [7, 40]
Generated Node #3: [7, 40] from Operation: 4+36=40
Current State: 33:[7, 40], Operations: ['14-7=7', '4+36=40']
Exploring Operation: 40-7=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
32,
9,
42,
22
] | 68 | [
"42-32=10",
"9*10=90",
"90-22=68"
] | Current State: 68:[32, 9, 42, 22], Operations: []
Exploring Operation: 42-32=10, Resulting Numbers: [9, 22, 10]
Generated Node #2: [9, 22, 10] from Operation: 42-32=10
Current State: 68:[9, 22, 10], Operations: ['42-32=10']
Exploring Operation: 9*10=90, Resulting Numbers: [22, 90]
Generated Node #3: [22, 90] from Operation: 9*10=90
Current State: 68:[22, 90], Operations: ['42-32=10', '9*10=90']
Exploring Operation: 90-22=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
96,
73,
4,
53
] | 91 | [
"73-53=20",
"20/4=5",
"96-5=91"
] | Current State: 91:[96, 73, 4, 53], Operations: []
Exploring Operation: 73-53=20, Resulting Numbers: [96, 4, 20]
Generated Node #2: [96, 4, 20] from Operation: 73-53=20
Current State: 91:[96, 4, 20], Operations: ['73-53=20']
Exploring Operation: 20/4=5, Resulting Numbers: [96, 5]
Generated Node #3: [96, 5] from Operation: 20/4=5
Current State: 91:[96, 5], Operations: ['73-53=20', '20/4=5']
Exploring Operation: 96-5=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
63,
6,
48,
67
] | 24 | [
"63+6=69",
"69-67=2",
"48/2=24"
] | Current State: 24:[63, 6, 48, 67], Operations: []
Exploring Operation: 63+6=69, Resulting Numbers: [48, 67, 69]
Generated Node #2: [48, 67, 69] from Operation: 63+6=69
Current State: 24:[48, 67, 69], Operations: ['63+6=69']
Exploring Operation: 69-67=2, Resulting Numbers: [48, 2]
Generated Node #3: [48, 2] from Operation: 69-67=2
Current State: 24:[48, 2], Operations: ['63+6=69', '69-67=2']
Exploring Operation: 48/2=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
29,
28,
26,
60
] | 33 | [
"29-28=1",
"60-26=34",
"34-1=33"
] | Current State: 33:[29, 28, 26, 60], Operations: []
Exploring Operation: 29-28=1, Resulting Numbers: [26, 60, 1]
Generated Node #2: [26, 60, 1] from Operation: 29-28=1
Current State: 33:[26, 60, 1], Operations: ['29-28=1']
Exploring Operation: 60-26=34, Resulting Numbers: [1, 34]
Generated Node #3: [1, 34] from Operation: 60-26=34
Current State: 33:[1, 34], Operations: ['29-28=1', '60-26=34']
Exploring Operation: 34-1=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
70,
82,
60,
38
] | 33 | [
"82-70=12",
"60/12=5",
"38-5=33"
] | Current State: 33:[70, 82, 60, 38], Operations: []
Exploring Operation: 82-70=12, Resulting Numbers: [60, 38, 12]
Generated Node #2: [60, 38, 12] from Operation: 82-70=12
Current State: 33:[60, 38, 12], Operations: ['82-70=12']
Exploring Operation: 60/12=5, Resulting Numbers: [38, 5]
Generated Node #3: [38, 5] from Operation: 60/12=5
Current State: 33:[38, 5], Operations: ['82-70=12', '60/12=5']
Exploring Operation: 38-5=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
97,
14,
40,
17
] | 12 | [
"97-17=80",
"80/40=2",
"14-2=12"
] | Current State: 12:[97, 14, 40, 17], Operations: []
Exploring Operation: 97-17=80, Resulting Numbers: [14, 40, 80]
Generated Node #2: [14, 40, 80] from Operation: 97-17=80
Current State: 12:[14, 40, 80], Operations: ['97-17=80']
Exploring Operation: 80/40=2, Resulting Numbers: [14, 2]
Generated Node #3: [14, 2] from Operation: 80/40=2
Current State: 12:[14, 2], Operations: ['97-17=80', '80/40=2']
Exploring Operation: 14-2=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
26,
79,
57,
62
] | 81 | [
"57-26=31",
"62/31=2",
"79+2=81"
] | Current State: 81:[26, 79, 57, 62], Operations: []
Exploring Operation: 57-26=31, Resulting Numbers: [79, 62, 31]
Generated Node #2: [79, 62, 31] from Operation: 57-26=31
Current State: 81:[79, 62, 31], Operations: ['57-26=31']
Exploring Operation: 62/31=2, Resulting Numbers: [79, 2]
Generated Node #3: [79, 2] from Operation: 62/31=2
Current State: 81:[79, 2], Operations: ['57-26=31', '62/31=2']
Exploring Operation: 79+2=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
15,
19,
36,
37
] | 35 | [
"15+19=34",
"37-36=1",
"34+1=35"
] | Current State: 35:[15, 19, 36, 37], Operations: []
Exploring Operation: 15+19=34, Resulting Numbers: [36, 37, 34]
Generated Node #2: [36, 37, 34] from Operation: 15+19=34
Current State: 35:[36, 37, 34], Operations: ['15+19=34']
Exploring Operation: 37-36=1, Resulting Numbers: [34, 1]
Generated Node #3: [34, 1] from Operation: 37-36=1
Current State: 35:[34, 1], Operations: ['15+19=34', '37-36=1']
Exploring Operation: 34+1=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
65,
68,
73,
19
] | 66 | [
"65+68=133",
"133/19=7",
"73-7=66"
] | Current State: 66:[65, 68, 73, 19], Operations: []
Exploring Operation: 65+68=133, Resulting Numbers: [73, 19, 133]
Generated Node #2: [73, 19, 133] from Operation: 65+68=133
Current State: 66:[73, 19, 133], Operations: ['65+68=133']
Exploring Operation: 133/19=7, Resulting Numbers: [73, 7]
Generated Node #3: [73, 7] from Operation: 133/19=7
Current State: 66:[73, 7], Operations: ['65+68=133', '133/19=7']
Exploring Operation: 73-7=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
53,
29,
38,
6
] | 61 | [
"53-38=15",
"6*15=90",
"90-29=61"
] | Current State: 61:[53, 29, 38, 6], Operations: []
Exploring Operation: 53-38=15, Resulting Numbers: [29, 6, 15]
Generated Node #2: [29, 6, 15] from Operation: 53-38=15
Current State: 61:[29, 6, 15], Operations: ['53-38=15']
Exploring Operation: 6*15=90, Resulting Numbers: [29, 90]
Generated Node #3: [29, 90] from Operation: 6*15=90
Current State: 61:[29, 90], Operations: ['53-38=15', '6*15=90']
Exploring Operation: 90-29=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
30,
65,
16,
30
] | 21 | [
"65-30=35",
"30-16=14",
"35-14=21"
] | Current State: 21:[30, 65, 16, 30], Operations: []
Exploring Operation: 65-30=35, Resulting Numbers: [16, 35]
Generated Node #2: [16, 35] from Operation: 65-30=35
Current State: 21:[16, 35], Operations: ['65-30=35']
Exploring Operation: 30-16=14, Resulting Numbers: [35, 14]
Generated Node #3: [35, 14] from Operation: 30-16=14
Current State: 21:[35, 14], Operations: ['65-30=35', '30-16=14']
Exploring Operation: 35-14=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
44,
55,
81,
77
] | 84 | [
"55+77=132",
"132/44=3",
"81+3=84"
] | Current State: 84:[44, 55, 81, 77], Operations: []
Exploring Operation: 55+77=132, Resulting Numbers: [44, 81, 132]
Generated Node #2: [44, 81, 132] from Operation: 55+77=132
Current State: 84:[44, 81, 132], Operations: ['55+77=132']
Exploring Operation: 132/44=3, Resulting Numbers: [81, 3]
Generated Node #3: [81, 3] from Operation: 132/44=3
Current State: 84:[81, 3], Operations: ['55+77=132', '132/44=3']
Exploring Operation: 81+3=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
53,
72,
71,
62
] | 36 | [
"53+71=124",
"72*62=4464",
"4464/124=36"
] | Current State: 36:[53, 72, 71, 62], Operations: []
Exploring Operation: 53+71=124, Resulting Numbers: [72, 62, 124]
Generated Node #2: [72, 62, 124] from Operation: 53+71=124
Current State: 36:[72, 62, 124], Operations: ['53+71=124']
Exploring Operation: 72*62=4464, Resulting Numbers: [124, 4464]
Generated Node #3: [124, 4464] from Operation: 72*62=4464
Current State: 36:[124, 4464], Operations: ['53+71=124', '72*62=4464']
Exploring Operation: 4464/124=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
95,
11,
82,
28
] | 30 | [
"95-11=84",
"82-28=54",
"84-54=30"
] | Current State: 30:[95, 11, 82, 28], Operations: []
Exploring Operation: 95-11=84, Resulting Numbers: [82, 28, 84]
Generated Node #2: [82, 28, 84] from Operation: 95-11=84
Current State: 30:[82, 28, 84], Operations: ['95-11=84']
Exploring Operation: 82-28=54, Resulting Numbers: [84, 54]
Generated Node #3: [84, 54] from Operation: 82-28=54
Current State: 30:[84, 54], Operations: ['95-11=84', '82-28=54']
Exploring Operation: 84-54=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
58,
71,
43,
49
] | 52 | [
"58+71=129",
"129/43=3",
"49+3=52"
] | Current State: 52:[58, 71, 43, 49], Operations: []
Exploring Operation: 58+71=129, Resulting Numbers: [43, 49, 129]
Generated Node #2: [43, 49, 129] from Operation: 58+71=129
Current State: 52:[43, 49, 129], Operations: ['58+71=129']
Exploring Operation: 129/43=3, Resulting Numbers: [49, 3]
Generated Node #3: [49, 3] from Operation: 129/43=3
Current State: 52:[49, 3], Operations: ['58+71=129', '129/43=3']
Exploring Operation: 49+3=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
11,
24,
25,
9
] | 88 | [
"25-24=1",
"9-1=8",
"11*8=88"
] | Current State: 88:[11, 24, 25, 9], Operations: []
Exploring Operation: 25-24=1, Resulting Numbers: [11, 9, 1]
Generated Node #2: [11, 9, 1] from Operation: 25-24=1
Current State: 88:[11, 9, 1], Operations: ['25-24=1']
Exploring Operation: 9-1=8, Resulting Numbers: [11, 8]
Generated Node #3: [11, 8] from Operation: 9-1=8
Current State: 88:[11, 8], Operations: ['25-24=1', '9-1=8']
Exploring Operation: 11*8=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
48,
31,
10,
58
] | 31 | [
"48+31=79",
"58-10=48",
"79-48=31"
] | Current State: 31:[48, 31, 10, 58], Operations: []
Exploring Operation: 48+31=79, Resulting Numbers: [10, 58, 79]
Generated Node #2: [10, 58, 79] from Operation: 48+31=79
Current State: 31:[10, 58, 79], Operations: ['48+31=79']
Exploring Operation: 58-10=48, Resulting Numbers: [79, 48]
Generated Node #3: [79, 48] from Operation: 58-10=48
Current State: 31:[79, 48], Operations: ['48+31=79', '58-10=48']
Exploring Operation: 79-48=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
96,
3,
12,
72
] | 44 | [
"96-12=84",
"84/3=28",
"72-28=44"
] | Current State: 44:[96, 3, 12, 72], Operations: []
Exploring Operation: 96-12=84, Resulting Numbers: [3, 72, 84]
Generated Node #2: [3, 72, 84] from Operation: 96-12=84
Current State: 44:[3, 72, 84], Operations: ['96-12=84']
Exploring Operation: 84/3=28, Resulting Numbers: [72, 28]
Generated Node #3: [72, 28] from Operation: 84/3=28
Current State: 44:[72, 28], Operations: ['96-12=84', '84/3=28']
Exploring Operation: 72-28=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
24,
9,
70,
2
] | 35 | [
"24+9=33",
"70-2=68",
"68-33=35"
] | Current State: 35:[24, 9, 70, 2], Operations: []
Exploring Operation: 24+9=33, Resulting Numbers: [70, 2, 33]
Generated Node #2: [70, 2, 33] from Operation: 24+9=33
Current State: 35:[70, 2, 33], Operations: ['24+9=33']
Exploring Operation: 70-2=68, Resulting Numbers: [33, 68]
Generated Node #3: [33, 68] from Operation: 70-2=68
Current State: 35:[33, 68], Operations: ['24+9=33', '70-2=68']
Exploring Operation: 68-33=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
26,
2,
25,
31
] | 45 | [
"31-26=5",
"2*25=50",
"50-5=45"
] | Current State: 45:[26, 2, 25, 31], Operations: []
Exploring Operation: 31-26=5, Resulting Numbers: [2, 25, 5]
Generated Node #2: [2, 25, 5] from Operation: 31-26=5
Current State: 45:[2, 25, 5], Operations: ['31-26=5']
Exploring Operation: 2*25=50, Resulting Numbers: [5, 50]
Generated Node #3: [5, 50] from Operation: 2*25=50
Current State: 45:[5, 50], Operations: ['31-26=5', '2*25=50']
Exploring Operation: 50-5=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
98,
32,
6,
74
] | 91 | [
"74-32=42",
"42/6=7",
"98-7=91"
] | Current State: 91:[98, 32, 6, 74], Operations: []
Exploring Operation: 74-32=42, Resulting Numbers: [98, 6, 42]
Generated Node #2: [98, 6, 42] from Operation: 74-32=42
Current State: 91:[98, 6, 42], Operations: ['74-32=42']
Exploring Operation: 42/6=7, Resulting Numbers: [98, 7]
Generated Node #3: [98, 7] from Operation: 42/6=7
Current State: 91:[98, 7], Operations: ['74-32=42', '42/6=7']
Exploring Operation: 98-7=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
1,
41,
25,
2
] | 30 | [
"41-1=40",
"40-25=15",
"2*15=30"
] | Current State: 30:[1, 41, 25, 2], Operations: []
Exploring Operation: 41-1=40, Resulting Numbers: [25, 2, 40]
Generated Node #2: [25, 2, 40] from Operation: 41-1=40
Current State: 30:[25, 2, 40], Operations: ['41-1=40']
Exploring Operation: 40-25=15, Resulting Numbers: [2, 15]
Generated Node #3: [2, 15] from Operation: 40-25=15
Current State: 30:[2, 15], Operations: ['41-1=40', '40-25=15']
Exploring Operation: 2*15=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
16,
13,
28,
85
] | 28 | [
"16+13=29",
"85-28=57",
"57-29=28"
] | Current State: 28:[16, 13, 28, 85], Operations: []
Exploring Operation: 16+13=29, Resulting Numbers: [28, 85, 29]
Generated Node #2: [28, 85, 29] from Operation: 16+13=29
Current State: 28:[28, 85, 29], Operations: ['16+13=29']
Exploring Operation: 85-28=57, Resulting Numbers: [29, 57]
Generated Node #3: [29, 57] from Operation: 85-28=57
Current State: 28:[29, 57], Operations: ['16+13=29', '85-28=57']
Exploring Operation: 57-29=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
41,
12,
78,
18
] | 55 | [
"41*18=738",
"738-78=660",
"660/12=55"
] | Current State: 55:[41, 12, 78, 18], Operations: []
Exploring Operation: 41*18=738, Resulting Numbers: [12, 78, 738]
Generated Node #2: [12, 78, 738] from Operation: 41*18=738
Current State: 55:[12, 78, 738], Operations: ['41*18=738']
Exploring Operation: 738-78=660, Resulting Numbers: [12, 660]
Generated Node #3: [12, 660] from Operation: 738-78=660
Current State: 55:[12, 660], Operations: ['41*18=738', '738-78=660']
Exploring Operation: 660/12=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
75,
73,
18,
66
] | 46 | [
"75-73=2",
"66-18=48",
"48-2=46"
] | Current State: 46:[75, 73, 18, 66], Operations: []
Exploring Operation: 75-73=2, Resulting Numbers: [18, 66, 2]
Generated Node #2: [18, 66, 2] from Operation: 75-73=2
Current State: 46:[18, 66, 2], Operations: ['75-73=2']
Exploring Operation: 66-18=48, Resulting Numbers: [2, 48]
Generated Node #3: [2, 48] from Operation: 66-18=48
Current State: 46:[2, 48], Operations: ['75-73=2', '66-18=48']
Exploring Operation: 48-2=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
65,
50,
20,
21
] | 28 | [
"65-50=15",
"20*21=420",
"420/15=28"
] | Current State: 28:[65, 50, 20, 21], Operations: []
Exploring Operation: 65-50=15, Resulting Numbers: [20, 21, 15]
Generated Node #2: [20, 21, 15] from Operation: 65-50=15
Current State: 28:[20, 21, 15], Operations: ['65-50=15']
Exploring Operation: 20*21=420, Resulting Numbers: [15, 420]
Generated Node #3: [15, 420] from Operation: 20*21=420
Current State: 28:[15, 420], Operations: ['65-50=15', '20*21=420']
Exploring Operation: 420/15=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
85,
40,
31,
5
] | 99 | [
"85+40=125",
"31-5=26",
"125-26=99"
] | Current State: 99:[85, 40, 31, 5], Operations: []
Exploring Operation: 85+40=125, Resulting Numbers: [31, 5, 125]
Generated Node #2: [31, 5, 125] from Operation: 85+40=125
Current State: 99:[31, 5, 125], Operations: ['85+40=125']
Exploring Operation: 31-5=26, Resulting Numbers: [125, 26]
Generated Node #3: [125, 26] from Operation: 31-5=26
Current State: 99:[125, 26], Operations: ['85+40=125', '31-5=26']
Exploring Operation: 125-26=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
45,
89,
94,
18
] | 22 | [
"45+89=134",
"94+18=112",
"134-112=22"
] | Current State: 22:[45, 89, 94, 18], Operations: []
Exploring Operation: 45+89=134, Resulting Numbers: [94, 18, 134]
Generated Node #2: [94, 18, 134] from Operation: 45+89=134
Current State: 22:[94, 18, 134], Operations: ['45+89=134']
Exploring Operation: 94+18=112, Resulting Numbers: [134, 112]
Generated Node #3: [134, 112] from Operation: 94+18=112
Current State: 22:[134, 112], Operations: ['45+89=134', '94+18=112']
Exploring Operation: 134-112=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
33,
35,
85,
26
] | 43 | [
"33+35=68",
"85+26=111",
"111-68=43"
] | Current State: 43:[33, 35, 85, 26], Operations: []
Exploring Operation: 33+35=68, Resulting Numbers: [85, 26, 68]
Generated Node #2: [85, 26, 68] from Operation: 33+35=68
Current State: 43:[85, 26, 68], Operations: ['33+35=68']
Exploring Operation: 85+26=111, Resulting Numbers: [68, 111]
Generated Node #3: [68, 111] from Operation: 85+26=111
Current State: 43:[68, 111], Operations: ['33+35=68', '85+26=111']
Exploring Operation: 111-68=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
73,
87,
28,
71
] | 73 | [
"87-73=14",
"28/14=2",
"71+2=73"
] | Current State: 73:[73, 87, 28, 71], Operations: []
Exploring Operation: 87-73=14, Resulting Numbers: [28, 71, 14]
Generated Node #2: [28, 71, 14] from Operation: 87-73=14
Current State: 73:[28, 71, 14], Operations: ['87-73=14']
Exploring Operation: 28/14=2, Resulting Numbers: [71, 2]
Generated Node #3: [71, 2] from Operation: 28/14=2
Current State: 73:[71, 2], Operations: ['87-73=14', '28/14=2']
Exploring Operation: 71+2=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
88,
19,
20,
39
] | 10 | [
"88-19=69",
"20+39=59",
"69-59=10"
] | Current State: 10:[88, 19, 20, 39], Operations: []
Exploring Operation: 88-19=69, Resulting Numbers: [20, 39, 69]
Generated Node #2: [20, 39, 69] from Operation: 88-19=69
Current State: 10:[20, 39, 69], Operations: ['88-19=69']
Exploring Operation: 20+39=59, Resulting Numbers: [69, 59]
Generated Node #3: [69, 59] from Operation: 20+39=59
Current State: 10:[69, 59], Operations: ['88-19=69', '20+39=59']
Exploring Operation: 69-59=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
59,
5,
35,
35
] | 16 | [
"59-5=54",
"35+35=70",
"70-54=16"
] | Current State: 16:[59, 5, 35, 35], Operations: []
Exploring Operation: 59-5=54, Resulting Numbers: [35, 35, 54]
Generated Node #2: [35, 35, 54] from Operation: 59-5=54
Current State: 16:[35, 35, 54], Operations: ['59-5=54']
Exploring Operation: 35+35=70, Resulting Numbers: [54, 70]
Generated Node #3: [54, 70] from Operation: 35+35=70
Current State: 16:[54, 70], Operations: ['59-5=54', '35+35=70']
Exploring Operation: 70-54=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
46,
88,
9,
7
] | 21 | [
"88-46=42",
"9*7=63",
"63-42=21"
] | Current State: 21:[46, 88, 9, 7], Operations: []
Exploring Operation: 88-46=42, Resulting Numbers: [9, 7, 42]
Generated Node #2: [9, 7, 42] from Operation: 88-46=42
Current State: 21:[9, 7, 42], Operations: ['88-46=42']
Exploring Operation: 9*7=63, Resulting Numbers: [42, 63]
Generated Node #3: [42, 63] from Operation: 9*7=63
Current State: 21:[42, 63], Operations: ['88-46=42', '9*7=63']
Exploring Operation: 63-42=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
59,
30,
13,
25
] | 67 | [
"59-30=29",
"13+25=38",
"29+38=67"
] | Current State: 67:[59, 30, 13, 25], Operations: []
Exploring Operation: 59-30=29, Resulting Numbers: [13, 25, 29]
Generated Node #2: [13, 25, 29] from Operation: 59-30=29
Current State: 67:[13, 25, 29], Operations: ['59-30=29']
Exploring Operation: 13+25=38, Resulting Numbers: [29, 38]
Generated Node #3: [29, 38] from Operation: 13+25=38
Current State: 67:[29, 38], Operations: ['59-30=29', '13+25=38']
Exploring Operation: 29+38=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
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