Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files
xet
Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 35, 51, 2, 91 ]
24
[ "35+91=126", "51*2=102", "126-102=24" ]
Current State: 24:[35, 51, 2, 91], Operations: [] Exploring Operation: 35+91=126, Resulting Numbers: [51, 2, 126] Generated Node #2: [51, 2, 126] from Operation: 35+91=126 Current State: 24:[51, 2, 126], Operations: ['35+91=126'] Exploring Operation: 51*2=102, Resulting Numbers: [126, 102] Generated Node #3: [126, 102] from Operation: 51*2=102 Current State: 24:[126, 102], Operations: ['35+91=126', '51*2=102'] Exploring Operation: 126-102=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 5, 15, 6, 45 ]
72
[ "15+45=60", "60/5=12", "6*12=72" ]
Current State: 72:[5, 15, 6, 45], Operations: [] Exploring Operation: 15+45=60, Resulting Numbers: [5, 6, 60] Generated Node #2: [5, 6, 60] from Operation: 15+45=60 Current State: 72:[5, 6, 60], Operations: ['15+45=60'] Exploring Operation: 60/5=12, Resulting Numbers: [6, 12] Generated Node #3: [6, 12] from Operation: 60/5=12 Current State: 72:[6, 12], Operations: ['15+45=60', '60/5=12'] Exploring Operation: 6*12=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 89, 26, 47, 64 ]
98
[ "89+26=115", "64-47=17", "115-17=98" ]
Current State: 98:[89, 26, 47, 64], Operations: [] Exploring Operation: 89+26=115, Resulting Numbers: [47, 64, 115] Generated Node #2: [47, 64, 115] from Operation: 89+26=115 Current State: 98:[47, 64, 115], Operations: ['89+26=115'] Exploring Operation: 64-47=17, Resulting Numbers: [115, 17] Generated Node #3: [115, 17] from Operation: 64-47=17 Current State: 98:[115, 17], Operations: ['89+26=115', '64-47=17'] Exploring Operation: 115-17=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 33, 36, 59, 15 ]
47
[ "36-33=3", "59-15=44", "3+44=47" ]
Current State: 47:[33, 36, 59, 15], Operations: [] Exploring Operation: 36-33=3, Resulting Numbers: [59, 15, 3] Generated Node #2: [59, 15, 3] from Operation: 36-33=3 Current State: 47:[59, 15, 3], Operations: ['36-33=3'] Exploring Operation: 59-15=44, Resulting Numbers: [3, 44] Generated Node #3: [3, 44] from Operation: 59-15=44 Current State: 47:[3, 44], Operations: ['36-33=3', '59-15=44'] Exploring Operation: 3+44=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 82, 85, 5, 87 ]
60
[ "87-82=5", "5*5=25", "85-25=60" ]
Current State: 60:[82, 85, 5, 87], Operations: [] Exploring Operation: 87-82=5, Resulting Numbers: [85, 5, 5] Generated Node #2: [85, 5, 5] from Operation: 87-82=5 Current State: 60:[85, 5, 5], Operations: ['87-82=5'] Exploring Operation: 5*5=25, Resulting Numbers: [85, 25] Generated Node #3: [85, 25] from Operation: 5*5=25 Current State: 60:[85, 25], Operations: ['87-82=5', '5*5=25'] Exploring Operation: 85-25=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 1, 14, 51, 42 ]
55
[ "1+51=52", "42/14=3", "52+3=55" ]
Current State: 55:[1, 14, 51, 42], Operations: [] Exploring Operation: 1+51=52, Resulting Numbers: [14, 42, 52] Generated Node #2: [14, 42, 52] from Operation: 1+51=52 Current State: 55:[14, 42, 52], Operations: ['1+51=52'] Exploring Operation: 42/14=3, Resulting Numbers: [52, 3] Generated Node #3: [52, 3] from Operation: 42/14=3 Current State: 55:[52, 3], Operations: ['1+51=52', '42/14=3'] Exploring Operation: 52+3=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 85, 73, 56, 60 ]
65
[ "73-56=17", "85/17=5", "60+5=65" ]
Current State: 65:[85, 73, 56, 60], Operations: [] Exploring Operation: 73-56=17, Resulting Numbers: [85, 60, 17] Generated Node #2: [85, 60, 17] from Operation: 73-56=17 Current State: 65:[85, 60, 17], Operations: ['73-56=17'] Exploring Operation: 85/17=5, Resulting Numbers: [60, 5] Generated Node #3: [60, 5] from Operation: 85/17=5 Current State: 65:[60, 5], Operations: ['73-56=17', '85/17=5'] Exploring Operation: 60+5=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 13, 15, 28, 45 ]
45
[ "13+15=28", "28+45=73", "73-28=45" ]
Current State: 45:[13, 15, 28, 45], Operations: [] Exploring Operation: 13+15=28, Resulting Numbers: [28, 45, 28] Generated Node #2: [28, 45, 28] from Operation: 13+15=28 Current State: 45:[28, 45, 28], Operations: ['13+15=28'] Exploring Operation: 28+45=73, Resulting Numbers: [73] 73,45 equal: Goal Reached Exploring Operation: 73-28=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 7, 87, 72, 8 ]
71
[ "87-7=80", "72/8=9", "80-9=71" ]
Current State: 71:[7, 87, 72, 8], Operations: [] Exploring Operation: 87-7=80, Resulting Numbers: [72, 8, 80] Generated Node #2: [72, 8, 80] from Operation: 87-7=80 Current State: 71:[72, 8, 80], Operations: ['87-7=80'] Exploring Operation: 72/8=9, Resulting Numbers: [80, 9] Generated Node #3: [80, 9] from Operation: 72/8=9 Current State: 71:[80, 9], Operations: ['87-7=80', '72/8=9'] Exploring Operation: 80-9=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 79, 66, 16, 82 ]
85
[ "79-66=13", "16+82=98", "98-13=85" ]
Current State: 85:[79, 66, 16, 82], Operations: [] Exploring Operation: 79-66=13, Resulting Numbers: [16, 82, 13] Generated Node #2: [16, 82, 13] from Operation: 79-66=13 Current State: 85:[16, 82, 13], Operations: ['79-66=13'] Exploring Operation: 16+82=98, Resulting Numbers: [13, 98] Generated Node #3: [13, 98] from Operation: 16+82=98 Current State: 85:[13, 98], Operations: ['79-66=13', '16+82=98'] Exploring Operation: 98-13=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 31, 33, 56, 81 ]
27
[ "33-31=2", "81-56=25", "2+25=27" ]
Current State: 27:[31, 33, 56, 81], Operations: [] Exploring Operation: 33-31=2, Resulting Numbers: [56, 81, 2] Generated Node #2: [56, 81, 2] from Operation: 33-31=2 Current State: 27:[56, 81, 2], Operations: ['33-31=2'] Exploring Operation: 81-56=25, Resulting Numbers: [2, 25] Generated Node #3: [2, 25] from Operation: 81-56=25 Current State: 27:[2, 25], Operations: ['33-31=2', '81-56=25'] Exploring Operation: 2+25=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 36, 9, 23, 21 ]
90
[ "36+9=45", "23-21=2", "45*2=90" ]
Current State: 90:[36, 9, 23, 21], Operations: [] Exploring Operation: 36+9=45, Resulting Numbers: [23, 21, 45] Generated Node #2: [23, 21, 45] from Operation: 36+9=45 Current State: 90:[23, 21, 45], Operations: ['36+9=45'] Exploring Operation: 23-21=2, Resulting Numbers: [45, 2] Generated Node #3: [45, 2] from Operation: 23-21=2 Current State: 90:[45, 2], Operations: ['36+9=45', '23-21=2'] Exploring Operation: 45*2=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 25, 61, 19, 45 ]
28
[ "61-25=36", "19+45=64", "64-36=28" ]
Current State: 28:[25, 61, 19, 45], Operations: [] Exploring Operation: 61-25=36, Resulting Numbers: [19, 45, 36] Generated Node #2: [19, 45, 36] from Operation: 61-25=36 Current State: 28:[19, 45, 36], Operations: ['61-25=36'] Exploring Operation: 19+45=64, Resulting Numbers: [36, 64] Generated Node #3: [36, 64] from Operation: 19+45=64 Current State: 28:[36, 64], Operations: ['61-25=36', '19+45=64'] Exploring Operation: 64-36=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 57, 44, 91, 43 ]
34
[ "91-57=34", "44-43=1", "34*1=34" ]
Current State: 34:[57, 44, 91, 43], Operations: [] Exploring Operation: 91-57=34, Resulting Numbers: [44, 43, 34] Generated Node #2: [44, 43, 34] from Operation: 91-57=34 Current State: 34:[44, 43, 34], Operations: ['91-57=34'] Exploring Operation: 44-43=1, Resulting Numbers: [34, 1] Generated Node #3: [34, 1] from Operation: 44-43=1 Current State: 34:[34, 1], Operations: ['91-57=34', '44-43=1'] Exploring Operation: 34*1=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 14, 39, 79, 13 ]
31
[ "14+79=93", "39/13=3", "93/3=31" ]
Current State: 31:[14, 39, 79, 13], Operations: [] Exploring Operation: 14+79=93, Resulting Numbers: [39, 13, 93] Generated Node #2: [39, 13, 93] from Operation: 14+79=93 Current State: 31:[39, 13, 93], Operations: ['14+79=93'] Exploring Operation: 39/13=3, Resulting Numbers: [93, 3] Generated Node #3: [93, 3] from Operation: 39/13=3 Current State: 31:[93, 3], Operations: ['14+79=93', '39/13=3'] Exploring Operation: 93/3=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 37, 96, 27, 25 ]
61
[ "96-37=59", "27-25=2", "59+2=61" ]
Current State: 61:[37, 96, 27, 25], Operations: [] Exploring Operation: 96-37=59, Resulting Numbers: [27, 25, 59] Generated Node #2: [27, 25, 59] from Operation: 96-37=59 Current State: 61:[27, 25, 59], Operations: ['96-37=59'] Exploring Operation: 27-25=2, Resulting Numbers: [59, 2] Generated Node #3: [59, 2] from Operation: 27-25=2 Current State: 61:[59, 2], Operations: ['96-37=59', '27-25=2'] Exploring Operation: 59+2=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 8, 67, 11, 6 ]
87
[ "8+6=14", "11*14=154", "154-67=87" ]
Current State: 87:[8, 67, 11, 6], Operations: [] Exploring Operation: 8+6=14, Resulting Numbers: [67, 11, 14] Generated Node #2: [67, 11, 14] from Operation: 8+6=14 Current State: 87:[67, 11, 14], Operations: ['8+6=14'] Exploring Operation: 11*14=154, Resulting Numbers: [67, 154] Generated Node #3: [67, 154] from Operation: 11*14=154 Current State: 87:[67, 154], Operations: ['8+6=14', '11*14=154'] Exploring Operation: 154-67=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 71, 17, 90, 84 ]
42
[ "71+17=88", "90-88=2", "84/2=42" ]
Current State: 42:[71, 17, 90, 84], Operations: [] Exploring Operation: 71+17=88, Resulting Numbers: [90, 84, 88] Generated Node #2: [90, 84, 88] from Operation: 71+17=88 Current State: 42:[90, 84, 88], Operations: ['71+17=88'] Exploring Operation: 90-88=2, Resulting Numbers: [84, 2] Generated Node #3: [84, 2] from Operation: 90-88=2 Current State: 42:[84, 2], Operations: ['71+17=88', '90-88=2'] Exploring Operation: 84/2=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 61, 62, 20, 32 ]
52
[ "62-61=1", "20+32=52", "1*52=52" ]
Current State: 52:[61, 62, 20, 32], Operations: [] Exploring Operation: 62-61=1, Resulting Numbers: [20, 32, 1] Generated Node #2: [20, 32, 1] from Operation: 62-61=1 Current State: 52:[20, 32, 1], Operations: ['62-61=1'] Exploring Operation: 20+32=52, Resulting Numbers: [1, 52] Generated Node #3: [1, 52] from Operation: 20+32=52 Current State: 52:[1, 52], Operations: ['62-61=1', '20+32=52'] Exploring Operation: 1*52=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 58, 36, 66, 55 ]
33
[ "58-36=22", "66-55=11", "22+11=33" ]
Current State: 33:[58, 36, 66, 55], Operations: [] Exploring Operation: 58-36=22, Resulting Numbers: [66, 55, 22] Generated Node #2: [66, 55, 22] from Operation: 58-36=22 Current State: 33:[66, 55, 22], Operations: ['58-36=22'] Exploring Operation: 66-55=11, Resulting Numbers: [22, 11] Generated Node #3: [22, 11] from Operation: 66-55=11 Current State: 33:[22, 11], Operations: ['58-36=22', '66-55=11'] Exploring Operation: 22+11=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 52, 54, 62, 11 ]
53
[ "54-52=2", "62-11=51", "2+51=53" ]
Current State: 53:[52, 54, 62, 11], Operations: [] Exploring Operation: 54-52=2, Resulting Numbers: [62, 11, 2] Generated Node #2: [62, 11, 2] from Operation: 54-52=2 Current State: 53:[62, 11, 2], Operations: ['54-52=2'] Exploring Operation: 62-11=51, Resulting Numbers: [2, 51] Generated Node #3: [2, 51] from Operation: 62-11=51 Current State: 53:[2, 51], Operations: ['54-52=2', '62-11=51'] Exploring Operation: 2+51=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 62, 15, 72, 60 ]
12
[ "62+15=77", "77-72=5", "60/5=12" ]
Current State: 12:[62, 15, 72, 60], Operations: [] Exploring Operation: 62+15=77, Resulting Numbers: [72, 60, 77] Generated Node #2: [72, 60, 77] from Operation: 62+15=77 Current State: 12:[72, 60, 77], Operations: ['62+15=77'] Exploring Operation: 77-72=5, Resulting Numbers: [60, 5] Generated Node #3: [60, 5] from Operation: 77-72=5 Current State: 12:[60, 5], Operations: ['62+15=77', '77-72=5'] Exploring Operation: 60/5=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 69, 36, 68, 6 ]
29
[ "69-36=33", "68-6=62", "62-33=29" ]
Current State: 29:[69, 36, 68, 6], Operations: [] Exploring Operation: 69-36=33, Resulting Numbers: [68, 6, 33] Generated Node #2: [68, 6, 33] from Operation: 69-36=33 Current State: 29:[68, 6, 33], Operations: ['69-36=33'] Exploring Operation: 68-6=62, Resulting Numbers: [33, 62] Generated Node #3: [33, 62] from Operation: 68-6=62 Current State: 29:[33, 62], Operations: ['69-36=33', '68-6=62'] Exploring Operation: 62-33=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 14, 89, 85, 40 ]
50
[ "89-14=75", "85+40=125", "125-75=50" ]
Current State: 50:[14, 89, 85, 40], Operations: [] Exploring Operation: 89-14=75, Resulting Numbers: [85, 40, 75] Generated Node #2: [85, 40, 75] from Operation: 89-14=75 Current State: 50:[85, 40, 75], Operations: ['89-14=75'] Exploring Operation: 85+40=125, Resulting Numbers: [75, 125] Generated Node #3: [75, 125] from Operation: 85+40=125 Current State: 50:[75, 125], Operations: ['89-14=75', '85+40=125'] Exploring Operation: 125-75=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 21, 2, 95, 83 ]
29
[ "83-21=62", "2*62=124", "124-95=29" ]
Current State: 29:[21, 2, 95, 83], Operations: [] Exploring Operation: 83-21=62, Resulting Numbers: [2, 95, 62] Generated Node #2: [2, 95, 62] from Operation: 83-21=62 Current State: 29:[2, 95, 62], Operations: ['83-21=62'] Exploring Operation: 2*62=124, Resulting Numbers: [95, 124] Generated Node #3: [95, 124] from Operation: 2*62=124 Current State: 29:[95, 124], Operations: ['83-21=62', '2*62=124'] Exploring Operation: 124-95=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 6, 18, 6, 65 ]
83
[ "6+18=24", "65-6=59", "24+59=83" ]
Current State: 83:[6, 18, 6, 65], Operations: [] Exploring Operation: 6+18=24, Resulting Numbers: [65, 24] Generated Node #2: [65, 24] from Operation: 6+18=24 Current State: 83:[65, 24], Operations: ['6+18=24'] Exploring Operation: 65-6=59, Resulting Numbers: [24, 59] Generated Node #3: [24, 59] from Operation: 65-6=59 Current State: 83:[24, 59], Operations: ['6+18=24', '65-6=59'] Exploring Operation: 24+59=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 95, 38, 92, 4 ]
38
[ "95-92=3", "4-3=1", "38*1=38" ]
Current State: 38:[95, 38, 92, 4], Operations: [] Exploring Operation: 95-92=3, Resulting Numbers: [38, 4, 3] Generated Node #2: [38, 4, 3] from Operation: 95-92=3 Current State: 38:[38, 4, 3], Operations: ['95-92=3'] Exploring Operation: 4-3=1, Resulting Numbers: [38, 1] Generated Node #3: [38, 1] from Operation: 4-3=1 Current State: 38:[38, 1], Operations: ['95-92=3', '4-3=1'] Exploring Operation: 38*1=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 20, 90, 6, 40 ]
27
[ "40-20=20", "90*6=540", "540/20=27" ]
Current State: 27:[20, 90, 6, 40], Operations: [] Exploring Operation: 40-20=20, Resulting Numbers: [90, 6, 20] Generated Node #2: [90, 6, 20] from Operation: 40-20=20 Current State: 27:[90, 6, 20], Operations: ['40-20=20'] Exploring Operation: 90*6=540, Resulting Numbers: [20, 540] Generated Node #3: [20, 540] from Operation: 90*6=540 Current State: 27:[20, 540], Operations: ['40-20=20', '90*6=540'] Exploring Operation: 540/20=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 95, 34, 96, 36 ]
70
[ "96-95=1", "34+36=70", "1*70=70" ]
Current State: 70:[95, 34, 96, 36], Operations: [] Exploring Operation: 96-95=1, Resulting Numbers: [34, 36, 1] Generated Node #2: [34, 36, 1] from Operation: 96-95=1 Current State: 70:[34, 36, 1], Operations: ['96-95=1'] Exploring Operation: 34+36=70, Resulting Numbers: [1, 70] Generated Node #3: [1, 70] from Operation: 34+36=70 Current State: 70:[1, 70], Operations: ['96-95=1', '34+36=70'] Exploring Operation: 1*70=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 97, 8, 93, 79 ]
67
[ "97+8=105", "93+79=172", "172-105=67" ]
Current State: 67:[97, 8, 93, 79], Operations: [] Exploring Operation: 97+8=105, Resulting Numbers: [93, 79, 105] Generated Node #2: [93, 79, 105] from Operation: 97+8=105 Current State: 67:[93, 79, 105], Operations: ['97+8=105'] Exploring Operation: 93+79=172, Resulting Numbers: [105, 172] Generated Node #3: [105, 172] from Operation: 93+79=172 Current State: 67:[105, 172], Operations: ['97+8=105', '93+79=172'] Exploring Operation: 172-105=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 66, 59, 69, 47 ]
15
[ "66-59=7", "69-47=22", "22-7=15" ]
Current State: 15:[66, 59, 69, 47], Operations: [] Exploring Operation: 66-59=7, Resulting Numbers: [69, 47, 7] Generated Node #2: [69, 47, 7] from Operation: 66-59=7 Current State: 15:[69, 47, 7], Operations: ['66-59=7'] Exploring Operation: 69-47=22, Resulting Numbers: [7, 22] Generated Node #3: [7, 22] from Operation: 69-47=22 Current State: 15:[7, 22], Operations: ['66-59=7', '69-47=22'] Exploring Operation: 22-7=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 79, 3, 58, 15 ]
26
[ "79-58=21", "15/3=5", "21+5=26" ]
Current State: 26:[79, 3, 58, 15], Operations: [] Exploring Operation: 79-58=21, Resulting Numbers: [3, 15, 21] Generated Node #2: [3, 15, 21] from Operation: 79-58=21 Current State: 26:[3, 15, 21], Operations: ['79-58=21'] Exploring Operation: 15/3=5, Resulting Numbers: [21, 5] Generated Node #3: [21, 5] from Operation: 15/3=5 Current State: 26:[21, 5], Operations: ['79-58=21', '15/3=5'] Exploring Operation: 21+5=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 23, 52, 2, 5 ]
85
[ "23+52=75", "2*5=10", "75+10=85" ]
Current State: 85:[23, 52, 2, 5], Operations: [] Exploring Operation: 23+52=75, Resulting Numbers: [2, 5, 75] Generated Node #2: [2, 5, 75] from Operation: 23+52=75 Current State: 85:[2, 5, 75], Operations: ['23+52=75'] Exploring Operation: 2*5=10, Resulting Numbers: [75, 10] Generated Node #3: [75, 10] from Operation: 2*5=10 Current State: 85:[75, 10], Operations: ['23+52=75', '2*5=10'] Exploring Operation: 75+10=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 45, 93, 14, 2 ]
10
[ "45+93=138", "2+138=140", "140/14=10" ]
Current State: 10:[45, 93, 14, 2], Operations: [] Exploring Operation: 45+93=138, Resulting Numbers: [14, 2, 138] Generated Node #2: [14, 2, 138] from Operation: 45+93=138 Current State: 10:[14, 2, 138], Operations: ['45+93=138'] Exploring Operation: 2+138=140, Resulting Numbers: [14, 140] Generated Node #3: [14, 140] from Operation: 2+138=140 Current State: 10:[14, 140], Operations: ['45+93=138', '2+138=140'] Exploring Operation: 140/14=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 32, 55, 52, 61 ]
90
[ "55-32=23", "52+61=113", "113-23=90" ]
Current State: 90:[32, 55, 52, 61], Operations: [] Exploring Operation: 55-32=23, Resulting Numbers: [52, 61, 23] Generated Node #2: [52, 61, 23] from Operation: 55-32=23 Current State: 90:[52, 61, 23], Operations: ['55-32=23'] Exploring Operation: 52+61=113, Resulting Numbers: [23, 113] Generated Node #3: [23, 113] from Operation: 52+61=113 Current State: 90:[23, 113], Operations: ['55-32=23', '52+61=113'] Exploring Operation: 113-23=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 13, 95, 48, 63 ]
97
[ "95-13=82", "63-48=15", "82+15=97" ]
Current State: 97:[13, 95, 48, 63], Operations: [] Exploring Operation: 95-13=82, Resulting Numbers: [48, 63, 82] Generated Node #2: [48, 63, 82] from Operation: 95-13=82 Current State: 97:[48, 63, 82], Operations: ['95-13=82'] Exploring Operation: 63-48=15, Resulting Numbers: [82, 15] Generated Node #3: [82, 15] from Operation: 63-48=15 Current State: 97:[82, 15], Operations: ['95-13=82', '63-48=15'] Exploring Operation: 82+15=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 76, 18, 12, 20 ]
82
[ "20-18=2", "12/2=6", "76+6=82" ]
Current State: 82:[76, 18, 12, 20], Operations: [] Exploring Operation: 20-18=2, Resulting Numbers: [76, 12, 2] Generated Node #2: [76, 12, 2] from Operation: 20-18=2 Current State: 82:[76, 12, 2], Operations: ['20-18=2'] Exploring Operation: 12/2=6, Resulting Numbers: [76, 6] Generated Node #3: [76, 6] from Operation: 12/2=6 Current State: 82:[76, 6], Operations: ['20-18=2', '12/2=6'] Exploring Operation: 76+6=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 38, 4, 37, 11 ]
31
[ "38+37=75", "4*11=44", "75-44=31" ]
Current State: 31:[38, 4, 37, 11], Operations: [] Exploring Operation: 38+37=75, Resulting Numbers: [4, 11, 75] Generated Node #2: [4, 11, 75] from Operation: 38+37=75 Current State: 31:[4, 11, 75], Operations: ['38+37=75'] Exploring Operation: 4*11=44, Resulting Numbers: [75, 44] Generated Node #3: [75, 44] from Operation: 4*11=44 Current State: 31:[75, 44], Operations: ['38+37=75', '4*11=44'] Exploring Operation: 75-44=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 44, 16, 3, 69 ]
44
[ "44-16=28", "3+69=72", "72-28=44" ]
Current State: 44:[44, 16, 3, 69], Operations: [] Exploring Operation: 44-16=28, Resulting Numbers: [3, 69, 28] Generated Node #2: [3, 69, 28] from Operation: 44-16=28 Current State: 44:[3, 69, 28], Operations: ['44-16=28'] Exploring Operation: 3+69=72, Resulting Numbers: [28, 72] Generated Node #3: [28, 72] from Operation: 3+69=72 Current State: 44:[28, 72], Operations: ['44-16=28', '3+69=72'] Exploring Operation: 72-28=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 85, 5, 63, 78 ]
45
[ "85-78=7", "5*63=315", "315/7=45" ]
Current State: 45:[85, 5, 63, 78], Operations: [] Exploring Operation: 85-78=7, Resulting Numbers: [5, 63, 7] Generated Node #2: [5, 63, 7] from Operation: 85-78=7 Current State: 45:[5, 63, 7], Operations: ['85-78=7'] Exploring Operation: 5*63=315, Resulting Numbers: [7, 315] Generated Node #3: [7, 315] from Operation: 5*63=315 Current State: 45:[7, 315], Operations: ['85-78=7', '5*63=315'] Exploring Operation: 315/7=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 11, 37, 32, 16 ]
85
[ "37*32=1184", "1184/16=74", "11+74=85" ]
Current State: 85:[11, 37, 32, 16], Operations: [] Exploring Operation: 37*32=1184, Resulting Numbers: [11, 16, 1184] Generated Node #2: [11, 16, 1184] from Operation: 37*32=1184 Current State: 85:[11, 16, 1184], Operations: ['37*32=1184'] Exploring Operation: 1184/16=74, Resulting Numbers: [11, 74] Generated Node #3: [11, 74] from Operation: 1184/16=74 Current State: 85:[11, 74], Operations: ['37*32=1184', '1184/16=74'] Exploring Operation: 11+74=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 30, 82, 4, 32 ]
45
[ "82-30=52", "52/4=13", "32+13=45" ]
Current State: 45:[30, 82, 4, 32], Operations: [] Exploring Operation: 82-30=52, Resulting Numbers: [4, 32, 52] Generated Node #2: [4, 32, 52] from Operation: 82-30=52 Current State: 45:[4, 32, 52], Operations: ['82-30=52'] Exploring Operation: 52/4=13, Resulting Numbers: [32, 13] Generated Node #3: [32, 13] from Operation: 52/4=13 Current State: 45:[32, 13], Operations: ['82-30=52', '52/4=13'] Exploring Operation: 32+13=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 18, 98, 45, 18 ]
89
[ "18+98=116", "45-18=27", "116-27=89" ]
Current State: 89:[18, 98, 45, 18], Operations: [] Exploring Operation: 18+98=116, Resulting Numbers: [45, 116] Generated Node #2: [45, 116] from Operation: 18+98=116 Current State: 89:[45, 116], Operations: ['18+98=116'] Exploring Operation: 45-18=27, Resulting Numbers: [116, 27] Generated Node #3: [116, 27] from Operation: 45-18=27 Current State: 89:[116, 27], Operations: ['18+98=116', '45-18=27'] Exploring Operation: 116-27=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 48, 46, 20, 22 ]
64
[ "48-46=2", "22*2=44", "20+44=64" ]
Current State: 64:[48, 46, 20, 22], Operations: [] Exploring Operation: 48-46=2, Resulting Numbers: [20, 22, 2] Generated Node #2: [20, 22, 2] from Operation: 48-46=2 Current State: 64:[20, 22, 2], Operations: ['48-46=2'] Exploring Operation: 22*2=44, Resulting Numbers: [20, 44] Generated Node #3: [20, 44] from Operation: 22*2=44 Current State: 64:[20, 44], Operations: ['48-46=2', '22*2=44'] Exploring Operation: 20+44=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 87, 95, 28, 87 ]
68
[ "87/87=1", "95-28=67", "1+67=68" ]
Current State: 68:[87, 95, 28, 87], Operations: [] Exploring Operation: 87/87=1, Resulting Numbers: [95, 28, 1] Generated Node #2: [95, 28, 1] from Operation: 87/87=1 Current State: 68:[95, 28, 1], Operations: ['87/87=1'] Exploring Operation: 95-28=67, Resulting Numbers: [1, 67] Generated Node #3: [1, 67] from Operation: 95-28=67 Current State: 68:[1, 67], Operations: ['87/87=1', '95-28=67'] Exploring Operation: 1+67=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 94, 22, 33, 40 ]
43
[ "94+22=116", "33+40=73", "116-73=43" ]
Current State: 43:[94, 22, 33, 40], Operations: [] Exploring Operation: 94+22=116, Resulting Numbers: [33, 40, 116] Generated Node #2: [33, 40, 116] from Operation: 94+22=116 Current State: 43:[33, 40, 116], Operations: ['94+22=116'] Exploring Operation: 33+40=73, Resulting Numbers: [116, 73] Generated Node #3: [116, 73] from Operation: 33+40=73 Current State: 43:[116, 73], Operations: ['94+22=116', '33+40=73'] Exploring Operation: 116-73=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 29, 28, 30, 42 ]
71
[ "29-28=1", "30+42=72", "72-1=71" ]
Current State: 71:[29, 28, 30, 42], Operations: [] Exploring Operation: 29-28=1, Resulting Numbers: [30, 42, 1] Generated Node #2: [30, 42, 1] from Operation: 29-28=1 Current State: 71:[30, 42, 1], Operations: ['29-28=1'] Exploring Operation: 30+42=72, Resulting Numbers: [1, 72] Generated Node #3: [1, 72] from Operation: 30+42=72 Current State: 71:[1, 72], Operations: ['29-28=1', '30+42=72'] Exploring Operation: 72-1=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 15, 15, 1, 60 ]
18
[ "15-1=14", "60/15=4", "14+4=18" ]
Current State: 18:[15, 15, 1, 60], Operations: [] Exploring Operation: 15-1=14, Resulting Numbers: [60, 14] Generated Node #2: [60, 14] from Operation: 15-1=14 Current State: 18:[60, 14], Operations: ['15-1=14'] Exploring Operation: 60/15=4, Resulting Numbers: [14, 4] Generated Node #3: [14, 4] from Operation: 60/15=4 Current State: 18:[14, 4], Operations: ['15-1=14', '60/15=4'] Exploring Operation: 14+4=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 95, 16, 26, 40 ]
97
[ "95+16=111", "40-26=14", "111-14=97" ]
Current State: 97:[95, 16, 26, 40], Operations: [] Exploring Operation: 95+16=111, Resulting Numbers: [26, 40, 111] Generated Node #2: [26, 40, 111] from Operation: 95+16=111 Current State: 97:[26, 40, 111], Operations: ['95+16=111'] Exploring Operation: 40-26=14, Resulting Numbers: [111, 14] Generated Node #3: [111, 14] from Operation: 40-26=14 Current State: 97:[111, 14], Operations: ['95+16=111', '40-26=14'] Exploring Operation: 111-14=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 78, 75, 57, 54 ]
63
[ "78*54=4212", "75*57=4275", "4275-4212=63" ]
Current State: 63:[78, 75, 57, 54], Operations: [] Exploring Operation: 78*54=4212, Resulting Numbers: [75, 57, 4212] Generated Node #2: [75, 57, 4212] from Operation: 78*54=4212 Current State: 63:[75, 57, 4212], Operations: ['78*54=4212'] Exploring Operation: 75*57=4275, Resulting Numbers: [4212, 4275] Generated Node #3: [4212, 4275] from Operation: 75*57=4275 Current State: 63:[4212, 4275], Operations: ['78*54=4212', '75*57=4275'] Exploring Operation: 4275-4212=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 19, 36, 68, 36 ]
87
[ "19+36=55", "68-36=32", "55+32=87" ]
Current State: 87:[19, 36, 68, 36], Operations: [] Exploring Operation: 19+36=55, Resulting Numbers: [68, 55] Generated Node #2: [68, 55] from Operation: 19+36=55 Current State: 87:[68, 55], Operations: ['19+36=55'] Exploring Operation: 68-36=32, Resulting Numbers: [55, 32] Generated Node #3: [55, 32] from Operation: 68-36=32 Current State: 87:[55, 32], Operations: ['19+36=55', '68-36=32'] Exploring Operation: 55+32=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 72, 32, 24, 64 ]
12
[ "72*32=2304", "2304/64=36", "36-24=12" ]
Current State: 12:[72, 32, 24, 64], Operations: [] Exploring Operation: 72*32=2304, Resulting Numbers: [24, 64, 2304] Generated Node #2: [24, 64, 2304] from Operation: 72*32=2304 Current State: 12:[24, 64, 2304], Operations: ['72*32=2304'] Exploring Operation: 2304/64=36, Resulting Numbers: [24, 36] Generated Node #3: [24, 36] from Operation: 2304/64=36 Current State: 12:[24, 36], Operations: ['72*32=2304', '2304/64=36'] Exploring Operation: 36-24=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 40, 86, 12, 98 ]
12
[ "86-40=46", "98+46=144", "144/12=12" ]
Current State: 12:[40, 86, 12, 98], Operations: [] Exploring Operation: 86-40=46, Resulting Numbers: [12, 98, 46] Generated Node #2: [12, 98, 46] from Operation: 86-40=46 Current State: 12:[12, 98, 46], Operations: ['86-40=46'] Exploring Operation: 98+46=144, Resulting Numbers: [12, 144] Generated Node #3: [12, 144] from Operation: 98+46=144 Current State: 12:[12, 144], Operations: ['86-40=46', '98+46=144'] Exploring Operation: 144/12=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 27, 85, 54, 39 ]
44
[ "54/27=2", "85-39=46", "46-2=44" ]
Current State: 44:[27, 85, 54, 39], Operations: [] Exploring Operation: 54/27=2, Resulting Numbers: [85, 39, 2] Generated Node #2: [85, 39, 2] from Operation: 54/27=2 Current State: 44:[85, 39, 2], Operations: ['54/27=2'] Exploring Operation: 85-39=46, Resulting Numbers: [2, 46] Generated Node #3: [2, 46] from Operation: 85-39=46 Current State: 44:[2, 46], Operations: ['54/27=2', '85-39=46'] Exploring Operation: 46-2=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 32, 2, 5, 30 ]
100
[ "32*5=160", "2*30=60", "160-60=100" ]
Current State: 100:[32, 2, 5, 30], Operations: [] Exploring Operation: 32*5=160, Resulting Numbers: [2, 30, 160] Generated Node #2: [2, 30, 160] from Operation: 32*5=160 Current State: 100:[2, 30, 160], Operations: ['32*5=160'] Exploring Operation: 2*30=60, Resulting Numbers: [160, 60] Generated Node #3: [160, 60] from Operation: 2*30=60 Current State: 100:[160, 60], Operations: ['32*5=160', '2*30=60'] Exploring Operation: 160-60=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 71, 5, 8, 14 ]
11
[ "71-5=66", "14-8=6", "66/6=11" ]
Current State: 11:[71, 5, 8, 14], Operations: [] Exploring Operation: 71-5=66, Resulting Numbers: [8, 14, 66] Generated Node #2: [8, 14, 66] from Operation: 71-5=66 Current State: 11:[8, 14, 66], Operations: ['71-5=66'] Exploring Operation: 14-8=6, Resulting Numbers: [66, 6] Generated Node #3: [66, 6] from Operation: 14-8=6 Current State: 11:[66, 6], Operations: ['71-5=66', '14-8=6'] Exploring Operation: 66/6=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 78, 77, 99, 85 ]
29
[ "78+77=155", "99+85=184", "184-155=29" ]
Current State: 29:[78, 77, 99, 85], Operations: [] Exploring Operation: 78+77=155, Resulting Numbers: [99, 85, 155] Generated Node #2: [99, 85, 155] from Operation: 78+77=155 Current State: 29:[99, 85, 155], Operations: ['78+77=155'] Exploring Operation: 99+85=184, Resulting Numbers: [155, 184] Generated Node #3: [155, 184] from Operation: 99+85=184 Current State: 29:[155, 184], Operations: ['78+77=155', '99+85=184'] Exploring Operation: 184-155=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 3, 52, 14, 97 ]
56
[ "3+52=55", "14+97=111", "111-55=56" ]
Current State: 56:[3, 52, 14, 97], Operations: [] Exploring Operation: 3+52=55, Resulting Numbers: [14, 97, 55] Generated Node #2: [14, 97, 55] from Operation: 3+52=55 Current State: 56:[14, 97, 55], Operations: ['3+52=55'] Exploring Operation: 14+97=111, Resulting Numbers: [55, 111] Generated Node #3: [55, 111] from Operation: 14+97=111 Current State: 56:[55, 111], Operations: ['3+52=55', '14+97=111'] Exploring Operation: 111-55=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 24, 43, 65, 46 ]
86
[ "24+43=67", "65-46=19", "67+19=86" ]
Current State: 86:[24, 43, 65, 46], Operations: [] Exploring Operation: 24+43=67, Resulting Numbers: [65, 46, 67] Generated Node #2: [65, 46, 67] from Operation: 24+43=67 Current State: 86:[65, 46, 67], Operations: ['24+43=67'] Exploring Operation: 65-46=19, Resulting Numbers: [67, 19] Generated Node #3: [67, 19] from Operation: 65-46=19 Current State: 86:[67, 19], Operations: ['24+43=67', '65-46=19'] Exploring Operation: 67+19=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 74, 2, 47, 77 ]
88
[ "74+47=121", "121-77=44", "2*44=88" ]
Current State: 88:[74, 2, 47, 77], Operations: [] Exploring Operation: 74+47=121, Resulting Numbers: [2, 77, 121] Generated Node #2: [2, 77, 121] from Operation: 74+47=121 Current State: 88:[2, 77, 121], Operations: ['74+47=121'] Exploring Operation: 121-77=44, Resulting Numbers: [2, 44] Generated Node #3: [2, 44] from Operation: 121-77=44 Current State: 88:[2, 44], Operations: ['74+47=121', '121-77=44'] Exploring Operation: 2*44=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 44, 82, 10, 86 ]
69
[ "44+86=130", "130/10=13", "82-13=69" ]
Current State: 69:[44, 82, 10, 86], Operations: [] Exploring Operation: 44+86=130, Resulting Numbers: [82, 10, 130] Generated Node #2: [82, 10, 130] from Operation: 44+86=130 Current State: 69:[82, 10, 130], Operations: ['44+86=130'] Exploring Operation: 130/10=13, Resulting Numbers: [82, 13] Generated Node #3: [82, 13] from Operation: 130/10=13 Current State: 69:[82, 13], Operations: ['44+86=130', '130/10=13'] Exploring Operation: 82-13=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 68, 67, 3, 40 ]
43
[ "68-67=1", "3+40=43", "1*43=43" ]
Current State: 43:[68, 67, 3, 40], Operations: [] Exploring Operation: 68-67=1, Resulting Numbers: [3, 40, 1] Generated Node #2: [3, 40, 1] from Operation: 68-67=1 Current State: 43:[3, 40, 1], Operations: ['68-67=1'] Exploring Operation: 3+40=43, Resulting Numbers: [1, 43] Generated Node #3: [1, 43] from Operation: 3+40=43 Current State: 43:[1, 43], Operations: ['68-67=1', '3+40=43'] Exploring Operation: 1*43=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 80, 92, 14, 93 ]
95
[ "92-80=12", "14+93=107", "107-12=95" ]
Current State: 95:[80, 92, 14, 93], Operations: [] Exploring Operation: 92-80=12, Resulting Numbers: [14, 93, 12] Generated Node #2: [14, 93, 12] from Operation: 92-80=12 Current State: 95:[14, 93, 12], Operations: ['92-80=12'] Exploring Operation: 14+93=107, Resulting Numbers: [12, 107] Generated Node #3: [12, 107] from Operation: 14+93=107 Current State: 95:[12, 107], Operations: ['92-80=12', '14+93=107'] Exploring Operation: 107-12=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 36, 13, 23, 89 ]
88
[ "36-13=23", "23/23=1", "89-1=88" ]
Current State: 88:[36, 13, 23, 89], Operations: [] Exploring Operation: 36-13=23, Resulting Numbers: [23, 89, 23] Generated Node #2: [23, 89, 23] from Operation: 36-13=23 Current State: 88:[23, 89, 23], Operations: ['36-13=23'] Exploring Operation: 23/23=1, Resulting Numbers: [89, 1] Generated Node #3: [89, 1] from Operation: 23/23=1 Current State: 88:[89, 1], Operations: ['36-13=23', '23/23=1'] Exploring Operation: 89-1=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 2, 23, 24, 73 ]
28
[ "23-2=21", "73-24=49", "49-21=28" ]
Current State: 28:[2, 23, 24, 73], Operations: [] Exploring Operation: 23-2=21, Resulting Numbers: [24, 73, 21] Generated Node #2: [24, 73, 21] from Operation: 23-2=21 Current State: 28:[24, 73, 21], Operations: ['23-2=21'] Exploring Operation: 73-24=49, Resulting Numbers: [21, 49] Generated Node #3: [21, 49] from Operation: 73-24=49 Current State: 28:[21, 49], Operations: ['23-2=21', '73-24=49'] Exploring Operation: 49-21=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 24, 24, 77, 9 ]
56
[ "24*77=1848", "24+9=33", "1848/33=56" ]
Current State: 56:[24, 24, 77, 9], Operations: [] Exploring Operation: 24*77=1848, Resulting Numbers: [9, 1848] Generated Node #2: [9, 1848] from Operation: 24*77=1848 Current State: 56:[9, 1848], Operations: ['24*77=1848'] Exploring Operation: 24+9=33, Resulting Numbers: [1848, 33] Generated Node #3: [1848, 33] from Operation: 24+9=33 Current State: 56:[1848, 33], Operations: ['24*77=1848', '24+9=33'] Exploring Operation: 1848/33=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 82, 28, 69, 2 ]
17
[ "82-28=54", "69+2=71", "71-54=17" ]
Current State: 17:[82, 28, 69, 2], Operations: [] Exploring Operation: 82-28=54, Resulting Numbers: [69, 2, 54] Generated Node #2: [69, 2, 54] from Operation: 82-28=54 Current State: 17:[69, 2, 54], Operations: ['82-28=54'] Exploring Operation: 69+2=71, Resulting Numbers: [54, 71] Generated Node #3: [54, 71] from Operation: 69+2=71 Current State: 17:[54, 71], Operations: ['82-28=54', '69+2=71'] Exploring Operation: 71-54=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 60, 52, 65, 82 ]
25
[ "60-52=8", "82-65=17", "8+17=25" ]
Current State: 25:[60, 52, 65, 82], Operations: [] Exploring Operation: 60-52=8, Resulting Numbers: [65, 82, 8] Generated Node #2: [65, 82, 8] from Operation: 60-52=8 Current State: 25:[65, 82, 8], Operations: ['60-52=8'] Exploring Operation: 82-65=17, Resulting Numbers: [8, 17] Generated Node #3: [8, 17] from Operation: 82-65=17 Current State: 25:[8, 17], Operations: ['60-52=8', '82-65=17'] Exploring Operation: 8+17=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 10, 9, 61, 29 ]
39
[ "10*29=290", "61+290=351", "351/9=39" ]
Current State: 39:[10, 9, 61, 29], Operations: [] Exploring Operation: 10*29=290, Resulting Numbers: [9, 61, 290] Generated Node #2: [9, 61, 290] from Operation: 10*29=290 Current State: 39:[9, 61, 290], Operations: ['10*29=290'] Exploring Operation: 61+290=351, Resulting Numbers: [9, 351] Generated Node #3: [9, 351] from Operation: 61+290=351 Current State: 39:[9, 351], Operations: ['10*29=290', '61+290=351'] Exploring Operation: 351/9=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 53, 78, 18, 2 ]
83
[ "78-18=60", "60/2=30", "53+30=83" ]
Current State: 83:[53, 78, 18, 2], Operations: [] Exploring Operation: 78-18=60, Resulting Numbers: [53, 2, 60] Generated Node #2: [53, 2, 60] from Operation: 78-18=60 Current State: 83:[53, 2, 60], Operations: ['78-18=60'] Exploring Operation: 60/2=30, Resulting Numbers: [53, 30] Generated Node #3: [53, 30] from Operation: 60/2=30 Current State: 83:[53, 30], Operations: ['78-18=60', '60/2=30'] Exploring Operation: 53+30=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 30, 42, 82, 80 ]
30
[ "30+82=112", "42*80=3360", "3360/112=30" ]
Current State: 30:[30, 42, 82, 80], Operations: [] Exploring Operation: 30+82=112, Resulting Numbers: [42, 80, 112] Generated Node #2: [42, 80, 112] from Operation: 30+82=112 Current State: 30:[42, 80, 112], Operations: ['30+82=112'] Exploring Operation: 42*80=3360, Resulting Numbers: [112, 3360] Generated Node #3: [112, 3360] from Operation: 42*80=3360 Current State: 30:[112, 3360], Operations: ['30+82=112', '42*80=3360'] Exploring Operation: 3360/112=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 27, 88, 51, 90 ]
80
[ "88-27=61", "51+90=141", "141-61=80" ]
Current State: 80:[27, 88, 51, 90], Operations: [] Exploring Operation: 88-27=61, Resulting Numbers: [51, 90, 61] Generated Node #2: [51, 90, 61] from Operation: 88-27=61 Current State: 80:[51, 90, 61], Operations: ['88-27=61'] Exploring Operation: 51+90=141, Resulting Numbers: [61, 141] Generated Node #3: [61, 141] from Operation: 51+90=141 Current State: 80:[61, 141], Operations: ['88-27=61', '51+90=141'] Exploring Operation: 141-61=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 34, 26, 70, 27 ]
36
[ "70-34=36", "27-26=1", "36*1=36" ]
Current State: 36:[34, 26, 70, 27], Operations: [] Exploring Operation: 70-34=36, Resulting Numbers: [26, 27, 36] Generated Node #2: [26, 27, 36] from Operation: 70-34=36 Current State: 36:[26, 27, 36], Operations: ['70-34=36'] Exploring Operation: 27-26=1, Resulting Numbers: [36, 1] Generated Node #3: [36, 1] from Operation: 27-26=1 Current State: 36:[36, 1], Operations: ['70-34=36', '27-26=1'] Exploring Operation: 36*1=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 94, 39, 3, 92 ]
73
[ "94-39=55", "3*55=165", "165-92=73" ]
Current State: 73:[94, 39, 3, 92], Operations: [] Exploring Operation: 94-39=55, Resulting Numbers: [3, 92, 55] Generated Node #2: [3, 92, 55] from Operation: 94-39=55 Current State: 73:[3, 92, 55], Operations: ['94-39=55'] Exploring Operation: 3*55=165, Resulting Numbers: [92, 165] Generated Node #3: [92, 165] from Operation: 3*55=165 Current State: 73:[92, 165], Operations: ['94-39=55', '3*55=165'] Exploring Operation: 165-92=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 44, 96, 16, 56 ]
68
[ "44+96=140", "16+56=72", "140-72=68" ]
Current State: 68:[44, 96, 16, 56], Operations: [] Exploring Operation: 44+96=140, Resulting Numbers: [16, 56, 140] Generated Node #2: [16, 56, 140] from Operation: 44+96=140 Current State: 68:[16, 56, 140], Operations: ['44+96=140'] Exploring Operation: 16+56=72, Resulting Numbers: [140, 72] Generated Node #3: [140, 72] from Operation: 16+56=72 Current State: 68:[140, 72], Operations: ['44+96=140', '16+56=72'] Exploring Operation: 140-72=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 78, 4, 22, 20 ]
20
[ "78+22=100", "4*20=80", "100-80=20" ]
Current State: 20:[78, 4, 22, 20], Operations: [] Exploring Operation: 78+22=100, Resulting Numbers: [4, 20, 100] Generated Node #2: [4, 20, 100] from Operation: 78+22=100 Current State: 20:[4, 20, 100], Operations: ['78+22=100'] Exploring Operation: 4*20=80, Resulting Numbers: [100, 80] Generated Node #3: [100, 80] from Operation: 4*20=80 Current State: 20:[100, 80], Operations: ['78+22=100', '4*20=80'] Exploring Operation: 100-80=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 51, 60, 23, 77 ]
11
[ "51+60=111", "23+77=100", "111-100=11" ]
Current State: 11:[51, 60, 23, 77], Operations: [] Exploring Operation: 51+60=111, Resulting Numbers: [23, 77, 111] Generated Node #2: [23, 77, 111] from Operation: 51+60=111 Current State: 11:[23, 77, 111], Operations: ['51+60=111'] Exploring Operation: 23+77=100, Resulting Numbers: [111, 100] Generated Node #3: [111, 100] from Operation: 23+77=100 Current State: 11:[111, 100], Operations: ['51+60=111', '23+77=100'] Exploring Operation: 111-100=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 74, 75, 81, 49 ]
82
[ "81-74=7", "49/7=7", "75+7=82" ]
Current State: 82:[74, 75, 81, 49], Operations: [] Exploring Operation: 81-74=7, Resulting Numbers: [75, 49, 7] Generated Node #2: [75, 49, 7] from Operation: 81-74=7 Current State: 82:[75, 49, 7], Operations: ['81-74=7'] Exploring Operation: 49/7=7, Resulting Numbers: [75, 7] Generated Node #3: [75, 7] from Operation: 49/7=7 Current State: 82:[75, 7], Operations: ['81-74=7', '49/7=7'] Exploring Operation: 75+7=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 69, 80, 60, 38 ]
33
[ "80-69=11", "60-38=22", "11+22=33" ]
Current State: 33:[69, 80, 60, 38], Operations: [] Exploring Operation: 80-69=11, Resulting Numbers: [60, 38, 11] Generated Node #2: [60, 38, 11] from Operation: 80-69=11 Current State: 33:[60, 38, 11], Operations: ['80-69=11'] Exploring Operation: 60-38=22, Resulting Numbers: [11, 22] Generated Node #3: [11, 22] from Operation: 60-38=22 Current State: 33:[11, 22], Operations: ['80-69=11', '60-38=22'] Exploring Operation: 11+22=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 19, 3, 24, 45 ]
56
[ "19+45=64", "24/3=8", "64-8=56" ]
Current State: 56:[19, 3, 24, 45], Operations: [] Exploring Operation: 19+45=64, Resulting Numbers: [3, 24, 64] Generated Node #2: [3, 24, 64] from Operation: 19+45=64 Current State: 56:[3, 24, 64], Operations: ['19+45=64'] Exploring Operation: 24/3=8, Resulting Numbers: [64, 8] Generated Node #3: [64, 8] from Operation: 24/3=8 Current State: 56:[64, 8], Operations: ['19+45=64', '24/3=8'] Exploring Operation: 64-8=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 82, 80, 16, 3 ]
70
[ "82+80=162", "162/3=54", "16+54=70" ]
Current State: 70:[82, 80, 16, 3], Operations: [] Exploring Operation: 82+80=162, Resulting Numbers: [16, 3, 162] Generated Node #2: [16, 3, 162] from Operation: 82+80=162 Current State: 70:[16, 3, 162], Operations: ['82+80=162'] Exploring Operation: 162/3=54, Resulting Numbers: [16, 54] Generated Node #3: [16, 54] from Operation: 162/3=54 Current State: 70:[16, 54], Operations: ['82+80=162', '162/3=54'] Exploring Operation: 16+54=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 1, 69, 58, 90 ]
36
[ "69-1=68", "90-58=32", "68-32=36" ]
Current State: 36:[1, 69, 58, 90], Operations: [] Exploring Operation: 69-1=68, Resulting Numbers: [58, 90, 68] Generated Node #2: [58, 90, 68] from Operation: 69-1=68 Current State: 36:[58, 90, 68], Operations: ['69-1=68'] Exploring Operation: 90-58=32, Resulting Numbers: [68, 32] Generated Node #3: [68, 32] from Operation: 90-58=32 Current State: 36:[68, 32], Operations: ['69-1=68', '90-58=32'] Exploring Operation: 68-32=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 7, 85, 47, 19 ]
89
[ "47-19=28", "28/7=4", "85+4=89" ]
Current State: 89:[7, 85, 47, 19], Operations: [] Exploring Operation: 47-19=28, Resulting Numbers: [7, 85, 28] Generated Node #2: [7, 85, 28] from Operation: 47-19=28 Current State: 89:[7, 85, 28], Operations: ['47-19=28'] Exploring Operation: 28/7=4, Resulting Numbers: [85, 4] Generated Node #3: [85, 4] from Operation: 28/7=4 Current State: 89:[85, 4], Operations: ['47-19=28', '28/7=4'] Exploring Operation: 85+4=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 93, 83, 47, 34 ]
23
[ "93-83=10", "47-34=13", "10+13=23" ]
Current State: 23:[93, 83, 47, 34], Operations: [] Exploring Operation: 93-83=10, Resulting Numbers: [47, 34, 10] Generated Node #2: [47, 34, 10] from Operation: 93-83=10 Current State: 23:[47, 34, 10], Operations: ['93-83=10'] Exploring Operation: 47-34=13, Resulting Numbers: [10, 13] Generated Node #3: [10, 13] from Operation: 47-34=13 Current State: 23:[10, 13], Operations: ['93-83=10', '47-34=13'] Exploring Operation: 10+13=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 12, 69, 69, 30 ]
18
[ "12+69=81", "69+30=99", "99-81=18" ]
Current State: 18:[12, 69, 69, 30], Operations: [] Exploring Operation: 12+69=81, Resulting Numbers: [30, 81] Generated Node #2: [30, 81] from Operation: 12+69=81 Current State: 18:[30, 81], Operations: ['12+69=81'] Exploring Operation: 69+30=99, Resulting Numbers: [81, 99] Generated Node #3: [81, 99] from Operation: 69+30=99 Current State: 18:[81, 99], Operations: ['12+69=81', '69+30=99'] Exploring Operation: 99-81=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 54, 67, 95, 40 ]
97
[ "67-40=27", "54/27=2", "95+2=97" ]
Current State: 97:[54, 67, 95, 40], Operations: [] Exploring Operation: 67-40=27, Resulting Numbers: [54, 95, 27] Generated Node #2: [54, 95, 27] from Operation: 67-40=27 Current State: 97:[54, 95, 27], Operations: ['67-40=27'] Exploring Operation: 54/27=2, Resulting Numbers: [95, 2] Generated Node #3: [95, 2] from Operation: 54/27=2 Current State: 97:[95, 2], Operations: ['67-40=27', '54/27=2'] Exploring Operation: 95+2=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 33, 77, 7, 48 ]
70
[ "33+48=81", "77/7=11", "81-11=70" ]
Current State: 70:[33, 77, 7, 48], Operations: [] Exploring Operation: 33+48=81, Resulting Numbers: [77, 7, 81] Generated Node #2: [77, 7, 81] from Operation: 33+48=81 Current State: 70:[77, 7, 81], Operations: ['33+48=81'] Exploring Operation: 77/7=11, Resulting Numbers: [81, 11] Generated Node #3: [81, 11] from Operation: 77/7=11 Current State: 70:[81, 11], Operations: ['33+48=81', '77/7=11'] Exploring Operation: 81-11=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 91, 88, 88, 73 ]
73
[ "88-88=0", "91*0=0", "73+0=73" ]
Current State: 73:[91, 88, 88, 73], Operations: [] Exploring Operation: 88-88=0, Resulting Numbers: [91, 73, 0] Generated Node #2: [91, 73, 0] from Operation: 88-88=0 Current State: 73:[91, 73, 0], Operations: ['88-88=0'] Exploring Operation: 91*0=0, Resulting Numbers: [73, 0] Generated Node #3: [73, 0] from Operation: 91*0=0 Current State: 73:[73, 0], Operations: ['88-88=0', '91*0=0'] Exploring Operation: 73+0=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 32, 76, 34, 48 ]
58
[ "76-32=44", "48-34=14", "44+14=58" ]
Current State: 58:[32, 76, 34, 48], Operations: [] Exploring Operation: 76-32=44, Resulting Numbers: [34, 48, 44] Generated Node #2: [34, 48, 44] from Operation: 76-32=44 Current State: 58:[34, 48, 44], Operations: ['76-32=44'] Exploring Operation: 48-34=14, Resulting Numbers: [44, 14] Generated Node #3: [44, 14] from Operation: 48-34=14 Current State: 58:[44, 14], Operations: ['76-32=44', '48-34=14'] Exploring Operation: 44+14=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 94, 21, 32, 94 ]
10
[ "94/94=1", "32-21=11", "11-1=10" ]
Current State: 10:[94, 21, 32, 94], Operations: [] Exploring Operation: 94/94=1, Resulting Numbers: [21, 32, 1] Generated Node #2: [21, 32, 1] from Operation: 94/94=1 Current State: 10:[21, 32, 1], Operations: ['94/94=1'] Exploring Operation: 32-21=11, Resulting Numbers: [1, 11] Generated Node #3: [1, 11] from Operation: 32-21=11 Current State: 10:[1, 11], Operations: ['94/94=1', '32-21=11'] Exploring Operation: 11-1=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 81, 4, 92, 40 ]
84
[ "92-81=11", "4*11=44", "40+44=84" ]
Current State: 84:[81, 4, 92, 40], Operations: [] Exploring Operation: 92-81=11, Resulting Numbers: [4, 40, 11] Generated Node #2: [4, 40, 11] from Operation: 92-81=11 Current State: 84:[4, 40, 11], Operations: ['92-81=11'] Exploring Operation: 4*11=44, Resulting Numbers: [40, 44] Generated Node #3: [40, 44] from Operation: 4*11=44 Current State: 84:[40, 44], Operations: ['92-81=11', '4*11=44'] Exploring Operation: 40+44=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 3, 22, 20, 94 ]
100
[ "22-20=2", "3*2=6", "94+6=100" ]
Current State: 100:[3, 22, 20, 94], Operations: [] Exploring Operation: 22-20=2, Resulting Numbers: [3, 94, 2] Generated Node #2: [3, 94, 2] from Operation: 22-20=2 Current State: 100:[3, 94, 2], Operations: ['22-20=2'] Exploring Operation: 3*2=6, Resulting Numbers: [94, 6] Generated Node #3: [94, 6] from Operation: 3*2=6 Current State: 100:[94, 6], Operations: ['22-20=2', '3*2=6'] Exploring Operation: 94+6=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 63, 8, 15, 57 ]
51
[ "63-15=48", "48/8=6", "57-6=51" ]
Current State: 51:[63, 8, 15, 57], Operations: [] Exploring Operation: 63-15=48, Resulting Numbers: [8, 57, 48] Generated Node #2: [8, 57, 48] from Operation: 63-15=48 Current State: 51:[8, 57, 48], Operations: ['63-15=48'] Exploring Operation: 48/8=6, Resulting Numbers: [57, 6] Generated Node #3: [57, 6] from Operation: 48/8=6 Current State: 51:[57, 6], Operations: ['63-15=48', '48/8=6'] Exploring Operation: 57-6=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 28, 56, 96, 78 ]
36
[ "56/28=2", "96-78=18", "2*18=36" ]
Current State: 36:[28, 56, 96, 78], Operations: [] Exploring Operation: 56/28=2, Resulting Numbers: [96, 78, 2] Generated Node #2: [96, 78, 2] from Operation: 56/28=2 Current State: 36:[96, 78, 2], Operations: ['56/28=2'] Exploring Operation: 96-78=18, Resulting Numbers: [2, 18] Generated Node #3: [2, 18] from Operation: 96-78=18 Current State: 36:[2, 18], Operations: ['56/28=2', '96-78=18'] Exploring Operation: 2*18=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 22, 66, 21, 80 ]
15
[ "66-22=44", "80-21=59", "59-44=15" ]
Current State: 15:[22, 66, 21, 80], Operations: [] Exploring Operation: 66-22=44, Resulting Numbers: [21, 80, 44] Generated Node #2: [21, 80, 44] from Operation: 66-22=44 Current State: 15:[21, 80, 44], Operations: ['66-22=44'] Exploring Operation: 80-21=59, Resulting Numbers: [44, 59] Generated Node #3: [44, 59] from Operation: 80-21=59 Current State: 15:[44, 59], Operations: ['66-22=44', '80-21=59'] Exploring Operation: 59-44=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 98, 85, 3, 29 ]
32
[ "98+85=183", "183/3=61", "61-29=32" ]
Current State: 32:[98, 85, 3, 29], Operations: [] Exploring Operation: 98+85=183, Resulting Numbers: [3, 29, 183] Generated Node #2: [3, 29, 183] from Operation: 98+85=183 Current State: 32:[3, 29, 183], Operations: ['98+85=183'] Exploring Operation: 183/3=61, Resulting Numbers: [29, 61] Generated Node #3: [29, 61] from Operation: 183/3=61 Current State: 32:[29, 61], Operations: ['98+85=183', '183/3=61'] Exploring Operation: 61-29=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 19, 4, 11, 28 ]
49
[ "28-11=17", "4*17=68", "68-19=49" ]
Current State: 49:[19, 4, 11, 28], Operations: [] Exploring Operation: 28-11=17, Resulting Numbers: [19, 4, 17] Generated Node #2: [19, 4, 17] from Operation: 28-11=17 Current State: 49:[19, 4, 17], Operations: ['28-11=17'] Exploring Operation: 4*17=68, Resulting Numbers: [19, 68] Generated Node #3: [19, 68] from Operation: 4*17=68 Current State: 49:[19, 68], Operations: ['28-11=17', '4*17=68'] Exploring Operation: 68-19=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 24, 52, 82, 51 ]
45
[ "24+52=76", "82-51=31", "76-31=45" ]
Current State: 45:[24, 52, 82, 51], Operations: [] Exploring Operation: 24+52=76, Resulting Numbers: [82, 51, 76] Generated Node #2: [82, 51, 76] from Operation: 24+52=76 Current State: 45:[82, 51, 76], Operations: ['24+52=76'] Exploring Operation: 82-51=31, Resulting Numbers: [76, 31] Generated Node #3: [76, 31] from Operation: 82-51=31 Current State: 45:[76, 31], Operations: ['24+52=76', '82-51=31'] Exploring Operation: 76-31=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 19, 26, 80, 42 ]
28
[ "80-42=38", "38/19=2", "26+2=28" ]
Current State: 28:[19, 26, 80, 42], Operations: [] Exploring Operation: 80-42=38, Resulting Numbers: [19, 26, 38] Generated Node #2: [19, 26, 38] from Operation: 80-42=38 Current State: 28:[19, 26, 38], Operations: ['80-42=38'] Exploring Operation: 38/19=2, Resulting Numbers: [26, 2] Generated Node #3: [26, 2] from Operation: 38/19=2 Current State: 28:[26, 2], Operations: ['80-42=38', '38/19=2'] Exploring Operation: 26+2=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 29, 66, 40, 9 ]
64
[ "29+66=95", "40-9=31", "95-31=64" ]
Current State: 64:[29, 66, 40, 9], Operations: [] Exploring Operation: 29+66=95, Resulting Numbers: [40, 9, 95] Generated Node #2: [40, 9, 95] from Operation: 29+66=95 Current State: 64:[40, 9, 95], Operations: ['29+66=95'] Exploring Operation: 40-9=31, Resulting Numbers: [95, 31] Generated Node #3: [95, 31] from Operation: 40-9=31 Current State: 64:[95, 31], Operations: ['29+66=95', '40-9=31'] Exploring Operation: 95-31=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4