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
[ 72, 55, 2, 64 ]
65
[ "72+55=127", "64-2=62", "127-62=65" ]
Current State: 65:[72, 55, 2, 64], Operations: [] Exploring Operation: 72+55=127, Resulting Numbers: [2, 64, 127] Generated Node #2: [2, 64, 127] from Operation: 72+55=127 Current State: 65:[2, 64, 127], Operations: ['72+55=127'] Exploring Operation: 64-2=62, Resulting Numbers: [127, 62] Generated Node #3: [127, 62] from Operation: 64-2=62 Current State: 65:[127, 62], Operations: ['72+55=127', '64-2=62'] Exploring Operation: 127-62=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 98, 87, 97, 22 ]
65
[ "98-97=1", "87-22=65", "1*65=65" ]
Current State: 65:[98, 87, 97, 22], Operations: [] Exploring Operation: 98-97=1, Resulting Numbers: [87, 22, 1] Generated Node #2: [87, 22, 1] from Operation: 98-97=1 Current State: 65:[87, 22, 1], Operations: ['98-97=1'] Exploring Operation: 87-22=65, Resulting Numbers: [1, 65] Generated Node #3: [1, 65] from Operation: 87-22=65 Current State: 65:[1, 65], Operations: ['98-97=1', '87-22=65'] Exploring Operation: 1*65=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 75, 10, 36, 45 ]
75
[ "10+36=46", "46-45=1", "75*1=75" ]
Current State: 75:[75, 10, 36, 45], Operations: [] Exploring Operation: 10+36=46, Resulting Numbers: [75, 45, 46] Generated Node #2: [75, 45, 46] from Operation: 10+36=46 Current State: 75:[75, 45, 46], Operations: ['10+36=46'] Exploring Operation: 46-45=1, Resulting Numbers: [75, 1] Generated Node #3: [75, 1] from Operation: 46-45=1 Current State: 75:[75, 1], Operations: ['10+36=46', '46-45=1'] Exploring Operation: 75*1=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 93, 75, 54, 3 ]
48
[ "93-75=18", "18/3=6", "54-6=48" ]
Current State: 48:[93, 75, 54, 3], Operations: [] Exploring Operation: 93-75=18, Resulting Numbers: [54, 3, 18] Generated Node #2: [54, 3, 18] from Operation: 93-75=18 Current State: 48:[54, 3, 18], Operations: ['93-75=18'] Exploring Operation: 18/3=6, Resulting Numbers: [54, 6] Generated Node #3: [54, 6] from Operation: 18/3=6 Current State: 48:[54, 6], Operations: ['93-75=18', '18/3=6'] Exploring Operation: 54-6=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 70, 85, 29, 35 ]
54
[ "70/35=2", "85-29=56", "56-2=54" ]
Current State: 54:[70, 85, 29, 35], Operations: [] Exploring Operation: 70/35=2, Resulting Numbers: [85, 29, 2] Generated Node #2: [85, 29, 2] from Operation: 70/35=2 Current State: 54:[85, 29, 2], Operations: ['70/35=2'] Exploring Operation: 85-29=56, Resulting Numbers: [2, 56] Generated Node #3: [2, 56] from Operation: 85-29=56 Current State: 54:[2, 56], Operations: ['70/35=2', '85-29=56'] Exploring Operation: 56-2=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 30, 34, 52, 59 ]
28
[ "34-30=4", "59-52=7", "4*7=28" ]
Current State: 28:[30, 34, 52, 59], Operations: [] Exploring Operation: 34-30=4, Resulting Numbers: [52, 59, 4] Generated Node #2: [52, 59, 4] from Operation: 34-30=4 Current State: 28:[52, 59, 4], Operations: ['34-30=4'] Exploring Operation: 59-52=7, Resulting Numbers: [4, 7] Generated Node #3: [4, 7] from Operation: 59-52=7 Current State: 28:[4, 7], Operations: ['34-30=4', '59-52=7'] Exploring Operation: 4*7=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 73, 13, 79, 8 ]
26
[ "79-73=6", "8-6=2", "13*2=26" ]
Current State: 26:[73, 13, 79, 8], Operations: [] Exploring Operation: 79-73=6, Resulting Numbers: [13, 8, 6] Generated Node #2: [13, 8, 6] from Operation: 79-73=6 Current State: 26:[13, 8, 6], Operations: ['79-73=6'] Exploring Operation: 8-6=2, Resulting Numbers: [13, 2] Generated Node #3: [13, 2] from Operation: 8-6=2 Current State: 26:[13, 2], Operations: ['79-73=6', '8-6=2'] Exploring Operation: 13*2=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 74, 87, 22, 44 ]
79
[ "87-74=13", "22+44=66", "13+66=79" ]
Current State: 79:[74, 87, 22, 44], Operations: [] Exploring Operation: 87-74=13, Resulting Numbers: [22, 44, 13] Generated Node #2: [22, 44, 13] from Operation: 87-74=13 Current State: 79:[22, 44, 13], Operations: ['87-74=13'] Exploring Operation: 22+44=66, Resulting Numbers: [13, 66] Generated Node #3: [13, 66] from Operation: 22+44=66 Current State: 79:[13, 66], Operations: ['87-74=13', '22+44=66'] Exploring Operation: 13+66=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 52, 65, 93, 31 ]
10
[ "65-52=13", "93/31=3", "13-3=10" ]
Current State: 10:[52, 65, 93, 31], Operations: [] Exploring Operation: 65-52=13, Resulting Numbers: [93, 31, 13] Generated Node #2: [93, 31, 13] from Operation: 65-52=13 Current State: 10:[93, 31, 13], Operations: ['65-52=13'] Exploring Operation: 93/31=3, Resulting Numbers: [13, 3] Generated Node #3: [13, 3] from Operation: 93/31=3 Current State: 10:[13, 3], Operations: ['65-52=13', '93/31=3'] Exploring Operation: 13-3=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 3, 50, 69, 35 ]
14
[ "3*35=105", "50+69=119", "119-105=14" ]
Current State: 14:[3, 50, 69, 35], Operations: [] Exploring Operation: 3*35=105, Resulting Numbers: [50, 69, 105] Generated Node #2: [50, 69, 105] from Operation: 3*35=105 Current State: 14:[50, 69, 105], Operations: ['3*35=105'] Exploring Operation: 50+69=119, Resulting Numbers: [105, 119] Generated Node #3: [105, 119] from Operation: 50+69=119 Current State: 14:[105, 119], Operations: ['3*35=105', '50+69=119'] Exploring Operation: 119-105=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 92, 46, 29, 2 ]
25
[ "92/46=2", "29-2=27", "27-2=25" ]
Current State: 25:[92, 46, 29, 2], Operations: [] Exploring Operation: 92/46=2, Resulting Numbers: [29, 2, 2] Generated Node #2: [29, 2, 2] from Operation: 92/46=2 Current State: 25:[29, 2, 2], Operations: ['92/46=2'] Exploring Operation: 29-2=27, Resulting Numbers: [27] 27,25 equal: Goal Reached Exploring Operation: 27-2=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 3, 96, 18, 9 ]
11
[ "3+96=99", "18-9=9", "99/9=11" ]
Current State: 11:[3, 96, 18, 9], Operations: [] Exploring Operation: 3+96=99, Resulting Numbers: [18, 9, 99] Generated Node #2: [18, 9, 99] from Operation: 3+96=99 Current State: 11:[18, 9, 99], Operations: ['3+96=99'] Exploring Operation: 18-9=9, Resulting Numbers: [99, 9] Generated Node #3: [99, 9] from Operation: 18-9=9 Current State: 11:[99, 9], Operations: ['3+96=99', '18-9=9'] Exploring Operation: 99/9=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 33, 5, 13, 7 ]
55
[ "33-13=20", "5*7=35", "20+35=55" ]
Current State: 55:[33, 5, 13, 7], Operations: [] Exploring Operation: 33-13=20, Resulting Numbers: [5, 7, 20] Generated Node #2: [5, 7, 20] from Operation: 33-13=20 Current State: 55:[5, 7, 20], Operations: ['33-13=20'] Exploring Operation: 5*7=35, Resulting Numbers: [20, 35] Generated Node #3: [20, 35] from Operation: 5*7=35 Current State: 55:[20, 35], Operations: ['33-13=20', '5*7=35'] Exploring Operation: 20+35=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 85, 31, 17, 35 ]
64
[ "85+31=116", "17+35=52", "116-52=64" ]
Current State: 64:[85, 31, 17, 35], Operations: [] Exploring Operation: 85+31=116, Resulting Numbers: [17, 35, 116] Generated Node #2: [17, 35, 116] from Operation: 85+31=116 Current State: 64:[17, 35, 116], Operations: ['85+31=116'] Exploring Operation: 17+35=52, Resulting Numbers: [116, 52] Generated Node #3: [116, 52] from Operation: 17+35=52 Current State: 64:[116, 52], Operations: ['85+31=116', '17+35=52'] Exploring Operation: 116-52=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 21, 18, 91, 34 ]
86
[ "21+18=39", "91+34=125", "125-39=86" ]
Current State: 86:[21, 18, 91, 34], Operations: [] Exploring Operation: 21+18=39, Resulting Numbers: [91, 34, 39] Generated Node #2: [91, 34, 39] from Operation: 21+18=39 Current State: 86:[91, 34, 39], Operations: ['21+18=39'] Exploring Operation: 91+34=125, Resulting Numbers: [39, 125] Generated Node #3: [39, 125] from Operation: 91+34=125 Current State: 86:[39, 125], Operations: ['21+18=39', '91+34=125'] Exploring Operation: 125-39=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 71, 1, 67, 65 ]
60
[ "71+1=72", "67+65=132", "132-72=60" ]
Current State: 60:[71, 1, 67, 65], Operations: [] Exploring Operation: 71+1=72, Resulting Numbers: [67, 65, 72] Generated Node #2: [67, 65, 72] from Operation: 71+1=72 Current State: 60:[67, 65, 72], Operations: ['71+1=72'] Exploring Operation: 67+65=132, Resulting Numbers: [72, 132] Generated Node #3: [72, 132] from Operation: 67+65=132 Current State: 60:[72, 132], Operations: ['71+1=72', '67+65=132'] Exploring Operation: 132-72=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 29, 52, 2, 16 ]
13
[ "29-16=13", "52/2=26", "26-13=13" ]
Current State: 13:[29, 52, 2, 16], Operations: [] Exploring Operation: 29-16=13, Resulting Numbers: [52, 2, 13] Generated Node #2: [52, 2, 13] from Operation: 29-16=13 Current State: 13:[52, 2, 13], Operations: ['29-16=13'] Exploring Operation: 52/2=26, Resulting Numbers: [13, 26] Generated Node #3: [13, 26] from Operation: 52/2=26 Current State: 13:[13, 26], Operations: ['29-16=13', '52/2=26'] Exploring Operation: 26-13=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 15, 38, 69, 72 ]
99
[ "72-69=3", "38*3=114", "114-15=99" ]
Current State: 99:[15, 38, 69, 72], Operations: [] Exploring Operation: 72-69=3, Resulting Numbers: [15, 38, 3] Generated Node #2: [15, 38, 3] from Operation: 72-69=3 Current State: 99:[15, 38, 3], Operations: ['72-69=3'] Exploring Operation: 38*3=114, Resulting Numbers: [15, 114] Generated Node #3: [15, 114] from Operation: 38*3=114 Current State: 99:[15, 114], Operations: ['72-69=3', '38*3=114'] Exploring Operation: 114-15=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 29, 7, 15, 69 ]
29
[ "29-15=14", "7*14=98", "98-69=29" ]
Current State: 29:[29, 7, 15, 69], Operations: [] Exploring Operation: 29-15=14, Resulting Numbers: [7, 69, 14] Generated Node #2: [7, 69, 14] from Operation: 29-15=14 Current State: 29:[7, 69, 14], Operations: ['29-15=14'] Exploring Operation: 7*14=98, Resulting Numbers: [69, 98] Generated Node #3: [69, 98] from Operation: 7*14=98 Current State: 29:[69, 98], Operations: ['29-15=14', '7*14=98'] Exploring Operation: 98-69=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 41, 25, 84, 20 ]
100
[ "41+84=125", "125/25=5", "20*5=100" ]
Current State: 100:[41, 25, 84, 20], Operations: [] Exploring Operation: 41+84=125, Resulting Numbers: [25, 20, 125] Generated Node #2: [25, 20, 125] from Operation: 41+84=125 Current State: 100:[25, 20, 125], Operations: ['41+84=125'] Exploring Operation: 125/25=5, Resulting Numbers: [20, 5] Generated Node #3: [20, 5] from Operation: 125/25=5 Current State: 100:[20, 5], Operations: ['41+84=125', '125/25=5'] Exploring Operation: 20*5=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 43, 63, 33, 53 ]
35
[ "43+63=106", "106/53=2", "33+2=35" ]
Current State: 35:[43, 63, 33, 53], Operations: [] Exploring Operation: 43+63=106, Resulting Numbers: [33, 53, 106] Generated Node #2: [33, 53, 106] from Operation: 43+63=106 Current State: 35:[33, 53, 106], Operations: ['43+63=106'] Exploring Operation: 106/53=2, Resulting Numbers: [33, 2] Generated Node #3: [33, 2] from Operation: 106/53=2 Current State: 35:[33, 2], Operations: ['43+63=106', '106/53=2'] Exploring Operation: 33+2=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 81, 19, 83, 24 ]
31
[ "83-81=2", "24/2=12", "19+12=31" ]
Current State: 31:[81, 19, 83, 24], Operations: [] Exploring Operation: 83-81=2, Resulting Numbers: [19, 24, 2] Generated Node #2: [19, 24, 2] from Operation: 83-81=2 Current State: 31:[19, 24, 2], Operations: ['83-81=2'] Exploring Operation: 24/2=12, Resulting Numbers: [19, 12] Generated Node #3: [19, 12] from Operation: 24/2=12 Current State: 31:[19, 12], Operations: ['83-81=2', '24/2=12'] Exploring Operation: 19+12=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 57, 36, 67, 64 ]
31
[ "57+36=93", "67-64=3", "93/3=31" ]
Current State: 31:[57, 36, 67, 64], Operations: [] Exploring Operation: 57+36=93, Resulting Numbers: [67, 64, 93] Generated Node #2: [67, 64, 93] from Operation: 57+36=93 Current State: 31:[67, 64, 93], Operations: ['57+36=93'] Exploring Operation: 67-64=3, Resulting Numbers: [93, 3] Generated Node #3: [93, 3] from Operation: 67-64=3 Current State: 31:[93, 3], Operations: ['57+36=93', '67-64=3'] Exploring Operation: 93/3=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 9, 37, 50, 52 ]
55
[ "52-50=2", "9*2=18", "37+18=55" ]
Current State: 55:[9, 37, 50, 52], Operations: [] Exploring Operation: 52-50=2, Resulting Numbers: [9, 37, 2] Generated Node #2: [9, 37, 2] from Operation: 52-50=2 Current State: 55:[9, 37, 2], Operations: ['52-50=2'] Exploring Operation: 9*2=18, Resulting Numbers: [37, 18] Generated Node #3: [37, 18] from Operation: 9*2=18 Current State: 55:[37, 18], Operations: ['52-50=2', '9*2=18'] Exploring Operation: 37+18=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 17, 23, 74, 55 ]
58
[ "74-23=51", "51/17=3", "55+3=58" ]
Current State: 58:[17, 23, 74, 55], Operations: [] Exploring Operation: 74-23=51, Resulting Numbers: [17, 55, 51] Generated Node #2: [17, 55, 51] from Operation: 74-23=51 Current State: 58:[17, 55, 51], Operations: ['74-23=51'] Exploring Operation: 51/17=3, Resulting Numbers: [55, 3] Generated Node #3: [55, 3] from Operation: 51/17=3 Current State: 58:[55, 3], Operations: ['74-23=51', '51/17=3'] Exploring Operation: 55+3=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 63, 7, 99, 63 ]
92
[ "63+7=70", "99+63=162", "162-70=92" ]
Current State: 92:[63, 7, 99, 63], Operations: [] Exploring Operation: 63+7=70, Resulting Numbers: [99, 70] Generated Node #2: [99, 70] from Operation: 63+7=70 Current State: 92:[99, 70], Operations: ['63+7=70'] Exploring Operation: 99+63=162, Resulting Numbers: [70, 162] Generated Node #3: [70, 162] from Operation: 99+63=162 Current State: 92:[70, 162], Operations: ['63+7=70', '99+63=162'] Exploring Operation: 162-70=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 80, 81, 85, 15 ]
71
[ "81-80=1", "85-15=70", "1+70=71" ]
Current State: 71:[80, 81, 85, 15], Operations: [] Exploring Operation: 81-80=1, Resulting Numbers: [85, 15, 1] Generated Node #2: [85, 15, 1] from Operation: 81-80=1 Current State: 71:[85, 15, 1], Operations: ['81-80=1'] Exploring Operation: 85-15=70, Resulting Numbers: [1, 70] Generated Node #3: [1, 70] from Operation: 85-15=70 Current State: 71:[1, 70], Operations: ['81-80=1', '85-15=70'] Exploring Operation: 1+70=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 90, 99, 95, 82 ]
85
[ "95-90=5", "99-82=17", "5*17=85" ]
Current State: 85:[90, 99, 95, 82], Operations: [] Exploring Operation: 95-90=5, Resulting Numbers: [99, 82, 5] Generated Node #2: [99, 82, 5] from Operation: 95-90=5 Current State: 85:[99, 82, 5], Operations: ['95-90=5'] Exploring Operation: 99-82=17, Resulting Numbers: [5, 17] Generated Node #3: [5, 17] from Operation: 99-82=17 Current State: 85:[5, 17], Operations: ['95-90=5', '99-82=17'] Exploring Operation: 5*17=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 87, 58, 94, 87 ]
54
[ "87*94=8178", "8178/58=141", "141-87=54" ]
Current State: 54:[87, 58, 94, 87], Operations: [] Exploring Operation: 87*94=8178, Resulting Numbers: [58, 8178] Generated Node #2: [58, 8178] from Operation: 87*94=8178 Current State: 54:[58, 8178], Operations: ['87*94=8178'] Exploring Operation: 8178/58=141, Resulting Numbers: [141] 141,54 equal: Goal Reached Exploring Operation: 141-87=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 58, 32, 54, 3 ]
24
[ "58+32=90", "90/3=30", "54-30=24" ]
Current State: 24:[58, 32, 54, 3], Operations: [] Exploring Operation: 58+32=90, Resulting Numbers: [54, 3, 90] Generated Node #2: [54, 3, 90] from Operation: 58+32=90 Current State: 24:[54, 3, 90], Operations: ['58+32=90'] Exploring Operation: 90/3=30, Resulting Numbers: [54, 30] Generated Node #3: [54, 30] from Operation: 90/3=30 Current State: 24:[54, 30], Operations: ['58+32=90', '90/3=30'] Exploring Operation: 54-30=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 81, 28, 3, 91 ]
94
[ "81+3=84", "84/28=3", "91+3=94" ]
Current State: 94:[81, 28, 3, 91], Operations: [] Exploring Operation: 81+3=84, Resulting Numbers: [28, 91, 84] Generated Node #2: [28, 91, 84] from Operation: 81+3=84 Current State: 94:[28, 91, 84], Operations: ['81+3=84'] Exploring Operation: 84/28=3, Resulting Numbers: [91, 3] Generated Node #3: [91, 3] from Operation: 84/28=3 Current State: 94:[91, 3], Operations: ['81+3=84', '84/28=3'] Exploring Operation: 91+3=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 27, 43, 63, 96 ]
17
[ "43-27=16", "96-63=33", "33-16=17" ]
Current State: 17:[27, 43, 63, 96], Operations: [] Exploring Operation: 43-27=16, Resulting Numbers: [63, 96, 16] Generated Node #2: [63, 96, 16] from Operation: 43-27=16 Current State: 17:[63, 96, 16], Operations: ['43-27=16'] Exploring Operation: 96-63=33, Resulting Numbers: [16, 33] Generated Node #3: [16, 33] from Operation: 96-63=33 Current State: 17:[16, 33], Operations: ['43-27=16', '96-63=33'] Exploring Operation: 33-16=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 30, 26, 40, 2 ]
23
[ "40-30=10", "26/2=13", "10+13=23" ]
Current State: 23:[30, 26, 40, 2], Operations: [] Exploring Operation: 40-30=10, Resulting Numbers: [26, 2, 10] Generated Node #2: [26, 2, 10] from Operation: 40-30=10 Current State: 23:[26, 2, 10], Operations: ['40-30=10'] Exploring Operation: 26/2=13, Resulting Numbers: [10, 13] Generated Node #3: [10, 13] from Operation: 26/2=13 Current State: 23:[10, 13], Operations: ['40-30=10', '26/2=13'] Exploring Operation: 10+13=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 27, 49, 63, 7 ]
31
[ "49-27=22", "63/7=9", "22+9=31" ]
Current State: 31:[27, 49, 63, 7], Operations: [] Exploring Operation: 49-27=22, Resulting Numbers: [63, 7, 22] Generated Node #2: [63, 7, 22] from Operation: 49-27=22 Current State: 31:[63, 7, 22], Operations: ['49-27=22'] Exploring Operation: 63/7=9, Resulting Numbers: [22, 9] Generated Node #3: [22, 9] from Operation: 63/7=9 Current State: 31:[22, 9], Operations: ['49-27=22', '63/7=9'] Exploring Operation: 22+9=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 25, 2, 31, 69 ]
25
[ "31+69=100", "100/2=50", "50-25=25" ]
Current State: 25:[25, 2, 31, 69], Operations: [] Exploring Operation: 31+69=100, Resulting Numbers: [25, 2, 100] Generated Node #2: [25, 2, 100] from Operation: 31+69=100 Current State: 25:[25, 2, 100], Operations: ['31+69=100'] Exploring Operation: 100/2=50, Resulting Numbers: [25, 50] Generated Node #3: [25, 50] from Operation: 100/2=50 Current State: 25:[25, 50], Operations: ['31+69=100', '100/2=50'] Exploring Operation: 50-25=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 39, 2, 10, 2 ]
17
[ "39-2=37", "10*2=20", "37-20=17" ]
Current State: 17:[39, 2, 10, 2], Operations: [] Exploring Operation: 39-2=37, Resulting Numbers: [10, 37] Generated Node #2: [10, 37] from Operation: 39-2=37 Current State: 17:[10, 37], Operations: ['39-2=37'] Exploring Operation: 10*2=20, Resulting Numbers: [37, 20] Generated Node #3: [37, 20] from Operation: 10*2=20 Current State: 17:[37, 20], Operations: ['39-2=37', '10*2=20'] Exploring Operation: 37-20=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 16, 79, 79, 29 ]
16
[ "79-79=0", "29*0=0", "16+0=16" ]
Current State: 16:[16, 79, 79, 29], Operations: [] Exploring Operation: 79-79=0, Resulting Numbers: [16, 29, 0] Generated Node #2: [16, 29, 0] from Operation: 79-79=0 Current State: 16:[16, 29, 0], Operations: ['79-79=0'] Exploring Operation: 29*0=0, Resulting Numbers: [16, 0] Generated Node #3: [16, 0] from Operation: 29*0=0 Current State: 16:[16, 0], Operations: ['79-79=0', '29*0=0'] Exploring Operation: 16+0=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 14, 24, 20, 14 ]
43
[ "14/14=1", "24+20=44", "44-1=43" ]
Current State: 43:[14, 24, 20, 14], Operations: [] Exploring Operation: 14/14=1, Resulting Numbers: [24, 20, 1] Generated Node #2: [24, 20, 1] from Operation: 14/14=1 Current State: 43:[24, 20, 1], Operations: ['14/14=1'] Exploring Operation: 24+20=44, Resulting Numbers: [1, 44] Generated Node #3: [1, 44] from Operation: 24+20=44 Current State: 43:[1, 44], Operations: ['14/14=1', '24+20=44'] Exploring Operation: 44-1=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 58, 81, 41, 94 ]
76
[ "81-58=23", "94-41=53", "23+53=76" ]
Current State: 76:[58, 81, 41, 94], Operations: [] Exploring Operation: 81-58=23, Resulting Numbers: [41, 94, 23] Generated Node #2: [41, 94, 23] from Operation: 81-58=23 Current State: 76:[41, 94, 23], Operations: ['81-58=23'] Exploring Operation: 94-41=53, Resulting Numbers: [23, 53] Generated Node #3: [23, 53] from Operation: 94-41=53 Current State: 76:[23, 53], Operations: ['81-58=23', '94-41=53'] Exploring Operation: 23+53=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 49, 18, 31, 86 ]
29
[ "49*31=1519", "18*86=1548", "1548-1519=29" ]
Current State: 29:[49, 18, 31, 86], Operations: [] Exploring Operation: 49*31=1519, Resulting Numbers: [18, 86, 1519] Generated Node #2: [18, 86, 1519] from Operation: 49*31=1519 Current State: 29:[18, 86, 1519], Operations: ['49*31=1519'] Exploring Operation: 18*86=1548, Resulting Numbers: [1519, 1548] Generated Node #3: [1519, 1548] from Operation: 18*86=1548 Current State: 29:[1519, 1548], Operations: ['49*31=1519', '18*86=1548'] Exploring Operation: 1548-1519=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 23, 52, 15, 13 ]
47
[ "23+52=75", "15+13=28", "75-28=47" ]
Current State: 47:[23, 52, 15, 13], Operations: [] Exploring Operation: 23+52=75, Resulting Numbers: [15, 13, 75] Generated Node #2: [15, 13, 75] from Operation: 23+52=75 Current State: 47:[15, 13, 75], Operations: ['23+52=75'] Exploring Operation: 15+13=28, Resulting Numbers: [75, 28] Generated Node #3: [75, 28] from Operation: 15+13=28 Current State: 47:[75, 28], Operations: ['23+52=75', '15+13=28'] Exploring Operation: 75-28=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 69, 7, 91, 39 ]
72
[ "91/7=13", "39/13=3", "69+3=72" ]
Current State: 72:[69, 7, 91, 39], Operations: [] Exploring Operation: 91/7=13, Resulting Numbers: [69, 39, 13] Generated Node #2: [69, 39, 13] from Operation: 91/7=13 Current State: 72:[69, 39, 13], Operations: ['91/7=13'] Exploring Operation: 39/13=3, Resulting Numbers: [69, 3] Generated Node #3: [69, 3] from Operation: 39/13=3 Current State: 72:[69, 3], Operations: ['91/7=13', '39/13=3'] Exploring Operation: 69+3=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 29, 17, 55, 84 ]
18
[ "29+55=84", "84/84=1", "17+1=18" ]
Current State: 18:[29, 17, 55, 84], Operations: [] Exploring Operation: 29+55=84, Resulting Numbers: [17, 84, 84] Generated Node #2: [17, 84, 84] from Operation: 29+55=84 Current State: 18:[17, 84, 84], Operations: ['29+55=84'] Exploring Operation: 84/84=1, Resulting Numbers: [17, 1] Generated Node #3: [17, 1] from Operation: 84/84=1 Current State: 18:[17, 1], Operations: ['29+55=84', '84/84=1'] Exploring Operation: 17+1=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 1, 4, 36, 23 ]
14
[ "1*4=4", "36/4=9", "23-9=14" ]
Current State: 14:[1, 4, 36, 23], Operations: [] Exploring Operation: 1*4=4, Resulting Numbers: [36, 23, 4] Generated Node #2: [36, 23, 4] from Operation: 1*4=4 Current State: 14:[36, 23, 4], Operations: ['1*4=4'] Exploring Operation: 36/4=9, Resulting Numbers: [23, 9] Generated Node #3: [23, 9] from Operation: 36/4=9 Current State: 14:[23, 9], Operations: ['1*4=4', '36/4=9'] Exploring Operation: 23-9=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 70, 68, 58, 14 ]
86
[ "70-68=2", "14*2=28", "58+28=86" ]
Current State: 86:[70, 68, 58, 14], Operations: [] Exploring Operation: 70-68=2, Resulting Numbers: [58, 14, 2] Generated Node #2: [58, 14, 2] from Operation: 70-68=2 Current State: 86:[58, 14, 2], Operations: ['70-68=2'] Exploring Operation: 14*2=28, Resulting Numbers: [58, 28] Generated Node #3: [58, 28] from Operation: 14*2=28 Current State: 86:[58, 28], Operations: ['70-68=2', '14*2=28'] Exploring Operation: 58+28=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 54, 66, 7, 82 ]
87
[ "66-54=12", "82-7=75", "12+75=87" ]
Current State: 87:[54, 66, 7, 82], Operations: [] Exploring Operation: 66-54=12, Resulting Numbers: [7, 82, 12] Generated Node #2: [7, 82, 12] from Operation: 66-54=12 Current State: 87:[7, 82, 12], Operations: ['66-54=12'] Exploring Operation: 82-7=75, Resulting Numbers: [12, 75] Generated Node #3: [12, 75] from Operation: 82-7=75 Current State: 87:[12, 75], Operations: ['66-54=12', '82-7=75'] Exploring Operation: 12+75=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 5, 34, 11, 25 ]
53
[ "5+34=39", "25-11=14", "39+14=53" ]
Current State: 53:[5, 34, 11, 25], Operations: [] Exploring Operation: 5+34=39, Resulting Numbers: [11, 25, 39] Generated Node #2: [11, 25, 39] from Operation: 5+34=39 Current State: 53:[11, 25, 39], Operations: ['5+34=39'] Exploring Operation: 25-11=14, Resulting Numbers: [39, 14] Generated Node #3: [39, 14] from Operation: 25-11=14 Current State: 53:[39, 14], Operations: ['5+34=39', '25-11=14'] Exploring Operation: 39+14=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 54, 10, 26, 51 ]
88
[ "54-51=3", "26*3=78", "10+78=88" ]
Current State: 88:[54, 10, 26, 51], Operations: [] Exploring Operation: 54-51=3, Resulting Numbers: [10, 26, 3] Generated Node #2: [10, 26, 3] from Operation: 54-51=3 Current State: 88:[10, 26, 3], Operations: ['54-51=3'] Exploring Operation: 26*3=78, Resulting Numbers: [10, 78] Generated Node #3: [10, 78] from Operation: 26*3=78 Current State: 88:[10, 78], Operations: ['54-51=3', '26*3=78'] Exploring Operation: 10+78=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 53, 8, 5, 7 ]
37
[ "7-5=2", "8*2=16", "53-16=37" ]
Current State: 37:[53, 8, 5, 7], Operations: [] Exploring Operation: 7-5=2, Resulting Numbers: [53, 8, 2] Generated Node #2: [53, 8, 2] from Operation: 7-5=2 Current State: 37:[53, 8, 2], Operations: ['7-5=2'] Exploring Operation: 8*2=16, Resulting Numbers: [53, 16] Generated Node #3: [53, 16] from Operation: 8*2=16 Current State: 37:[53, 16], Operations: ['7-5=2', '8*2=16'] Exploring Operation: 53-16=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 3, 15, 17, 64 ]
35
[ "15-3=12", "64-17=47", "47-12=35" ]
Current State: 35:[3, 15, 17, 64], Operations: [] Exploring Operation: 15-3=12, Resulting Numbers: [17, 64, 12] Generated Node #2: [17, 64, 12] from Operation: 15-3=12 Current State: 35:[17, 64, 12], Operations: ['15-3=12'] Exploring Operation: 64-17=47, Resulting Numbers: [12, 47] Generated Node #3: [12, 47] from Operation: 64-17=47 Current State: 35:[12, 47], Operations: ['15-3=12', '64-17=47'] Exploring Operation: 47-12=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 14, 39, 75, 20 ]
19
[ "20-14=6", "39+75=114", "114/6=19" ]
Current State: 19:[14, 39, 75, 20], Operations: [] Exploring Operation: 20-14=6, Resulting Numbers: [39, 75, 6] Generated Node #2: [39, 75, 6] from Operation: 20-14=6 Current State: 19:[39, 75, 6], Operations: ['20-14=6'] Exploring Operation: 39+75=114, Resulting Numbers: [6, 114] Generated Node #3: [6, 114] from Operation: 39+75=114 Current State: 19:[6, 114], Operations: ['20-14=6', '39+75=114'] Exploring Operation: 114/6=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 40, 20, 13, 60 ]
81
[ "40-13=27", "60/20=3", "27*3=81" ]
Current State: 81:[40, 20, 13, 60], Operations: [] Exploring Operation: 40-13=27, Resulting Numbers: [20, 60, 27] Generated Node #2: [20, 60, 27] from Operation: 40-13=27 Current State: 81:[20, 60, 27], Operations: ['40-13=27'] Exploring Operation: 60/20=3, Resulting Numbers: [27, 3] Generated Node #3: [27, 3] from Operation: 60/20=3 Current State: 81:[27, 3], Operations: ['40-13=27', '60/20=3'] Exploring Operation: 27*3=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 17, 2, 7, 41 ]
37
[ "17*7=119", "2*41=82", "119-82=37" ]
Current State: 37:[17, 2, 7, 41], Operations: [] Exploring Operation: 17*7=119, Resulting Numbers: [2, 41, 119] Generated Node #2: [2, 41, 119] from Operation: 17*7=119 Current State: 37:[2, 41, 119], Operations: ['17*7=119'] Exploring Operation: 2*41=82, Resulting Numbers: [119, 82] Generated Node #3: [119, 82] from Operation: 2*41=82 Current State: 37:[119, 82], Operations: ['17*7=119', '2*41=82'] Exploring Operation: 119-82=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 99, 39, 52, 46 ]
66
[ "99-39=60", "52-46=6", "60+6=66" ]
Current State: 66:[99, 39, 52, 46], Operations: [] Exploring Operation: 99-39=60, Resulting Numbers: [52, 46, 60] Generated Node #2: [52, 46, 60] from Operation: 99-39=60 Current State: 66:[52, 46, 60], Operations: ['99-39=60'] Exploring Operation: 52-46=6, Resulting Numbers: [60, 6] Generated Node #3: [60, 6] from Operation: 52-46=6 Current State: 66:[60, 6], Operations: ['99-39=60', '52-46=6'] Exploring Operation: 60+6=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 2, 68, 48, 22 ]
51
[ "68-2=66", "66/22=3", "48+3=51" ]
Current State: 51:[2, 68, 48, 22], Operations: [] Exploring Operation: 68-2=66, Resulting Numbers: [48, 22, 66] Generated Node #2: [48, 22, 66] from Operation: 68-2=66 Current State: 51:[48, 22, 66], Operations: ['68-2=66'] Exploring Operation: 66/22=3, Resulting Numbers: [48, 3] Generated Node #3: [48, 3] from Operation: 66/22=3 Current State: 51:[48, 3], Operations: ['68-2=66', '66/22=3'] Exploring Operation: 48+3=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 92, 8, 24, 3 ]
97
[ "92+3=95", "8*24=192", "192-95=97" ]
Current State: 97:[92, 8, 24, 3], Operations: [] Exploring Operation: 92+3=95, Resulting Numbers: [8, 24, 95] Generated Node #2: [8, 24, 95] from Operation: 92+3=95 Current State: 97:[8, 24, 95], Operations: ['92+3=95'] Exploring Operation: 8*24=192, Resulting Numbers: [95, 192] Generated Node #3: [95, 192] from Operation: 8*24=192 Current State: 97:[95, 192], Operations: ['92+3=95', '8*24=192'] Exploring Operation: 192-95=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 7, 77, 49, 68 ]
65
[ "7+77=84", "68-49=19", "84-19=65" ]
Current State: 65:[7, 77, 49, 68], Operations: [] Exploring Operation: 7+77=84, Resulting Numbers: [49, 68, 84] Generated Node #2: [49, 68, 84] from Operation: 7+77=84 Current State: 65:[49, 68, 84], Operations: ['7+77=84'] Exploring Operation: 68-49=19, Resulting Numbers: [84, 19] Generated Node #3: [84, 19] from Operation: 68-49=19 Current State: 65:[84, 19], Operations: ['7+77=84', '68-49=19'] Exploring Operation: 84-19=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 9, 24, 8, 36 ]
56
[ "36/9=4", "8*4=32", "24+32=56" ]
Current State: 56:[9, 24, 8, 36], Operations: [] Exploring Operation: 36/9=4, Resulting Numbers: [24, 8, 4] Generated Node #2: [24, 8, 4] from Operation: 36/9=4 Current State: 56:[24, 8, 4], Operations: ['36/9=4'] Exploring Operation: 8*4=32, Resulting Numbers: [24, 32] Generated Node #3: [24, 32] from Operation: 8*4=32 Current State: 56:[24, 32], Operations: ['36/9=4', '8*4=32'] Exploring Operation: 24+32=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 56, 2, 39, 56 ]
17
[ "56*2=112", "39+56=95", "112-95=17" ]
Current State: 17:[56, 2, 39, 56], Operations: [] Exploring Operation: 56*2=112, Resulting Numbers: [39, 112] Generated Node #2: [39, 112] from Operation: 56*2=112 Current State: 17:[39, 112], Operations: ['56*2=112'] Exploring Operation: 39+56=95, Resulting Numbers: [112, 95] Generated Node #3: [112, 95] from Operation: 39+56=95 Current State: 17:[112, 95], Operations: ['56*2=112', '39+56=95'] Exploring Operation: 112-95=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 48, 90, 66, 53 ]
77
[ "90-48=42", "66+53=119", "119-42=77" ]
Current State: 77:[48, 90, 66, 53], Operations: [] Exploring Operation: 90-48=42, Resulting Numbers: [66, 53, 42] Generated Node #2: [66, 53, 42] from Operation: 90-48=42 Current State: 77:[66, 53, 42], Operations: ['90-48=42'] Exploring Operation: 66+53=119, Resulting Numbers: [42, 119] Generated Node #3: [42, 119] from Operation: 66+53=119 Current State: 77:[42, 119], Operations: ['90-48=42', '66+53=119'] Exploring Operation: 119-42=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 77, 48, 87, 92 ]
14
[ "87-77=10", "48+92=140", "140/10=14" ]
Current State: 14:[77, 48, 87, 92], Operations: [] Exploring Operation: 87-77=10, Resulting Numbers: [48, 92, 10] Generated Node #2: [48, 92, 10] from Operation: 87-77=10 Current State: 14:[48, 92, 10], Operations: ['87-77=10'] Exploring Operation: 48+92=140, Resulting Numbers: [10, 140] Generated Node #3: [10, 140] from Operation: 48+92=140 Current State: 14:[10, 140], Operations: ['87-77=10', '48+92=140'] Exploring Operation: 140/10=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 41, 51, 31, 74 ]
76
[ "51+31=82", "82/41=2", "74+2=76" ]
Current State: 76:[41, 51, 31, 74], Operations: [] Exploring Operation: 51+31=82, Resulting Numbers: [41, 74, 82] Generated Node #2: [41, 74, 82] from Operation: 51+31=82 Current State: 76:[41, 74, 82], Operations: ['51+31=82'] Exploring Operation: 82/41=2, Resulting Numbers: [74, 2] Generated Node #3: [74, 2] from Operation: 82/41=2 Current State: 76:[74, 2], Operations: ['51+31=82', '82/41=2'] Exploring Operation: 74+2=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 2, 98, 79, 2 ]
58
[ "2+98=100", "79*2=158", "158-100=58" ]
Current State: 58:[2, 98, 79, 2], Operations: [] Exploring Operation: 2+98=100, Resulting Numbers: [79, 100] Generated Node #2: [79, 100] from Operation: 2+98=100 Current State: 58:[79, 100], Operations: ['2+98=100'] Exploring Operation: 79*2=158, Resulting Numbers: [100, 158] Generated Node #3: [100, 158] from Operation: 79*2=158 Current State: 58:[100, 158], Operations: ['2+98=100', '79*2=158'] Exploring Operation: 158-100=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 42, 93, 95, 25 ]
19
[ "93-42=51", "95-25=70", "70-51=19" ]
Current State: 19:[42, 93, 95, 25], Operations: [] Exploring Operation: 93-42=51, Resulting Numbers: [95, 25, 51] Generated Node #2: [95, 25, 51] from Operation: 93-42=51 Current State: 19:[95, 25, 51], Operations: ['93-42=51'] Exploring Operation: 95-25=70, Resulting Numbers: [51, 70] Generated Node #3: [51, 70] from Operation: 95-25=70 Current State: 19:[51, 70], Operations: ['93-42=51', '95-25=70'] Exploring Operation: 70-51=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 14, 3, 78, 61 ]
91
[ "14+78=92", "3*61=183", "183-92=91" ]
Current State: 91:[14, 3, 78, 61], Operations: [] Exploring Operation: 14+78=92, Resulting Numbers: [3, 61, 92] Generated Node #2: [3, 61, 92] from Operation: 14+78=92 Current State: 91:[3, 61, 92], Operations: ['14+78=92'] Exploring Operation: 3*61=183, Resulting Numbers: [92, 183] Generated Node #3: [92, 183] from Operation: 3*61=183 Current State: 91:[92, 183], Operations: ['14+78=92', '3*61=183'] Exploring Operation: 183-92=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 95, 38, 48, 30 ]
90
[ "95*48=4560", "4560/38=120", "120-30=90" ]
Current State: 90:[95, 38, 48, 30], Operations: [] Exploring Operation: 95*48=4560, Resulting Numbers: [38, 30, 4560] Generated Node #2: [38, 30, 4560] from Operation: 95*48=4560 Current State: 90:[38, 30, 4560], Operations: ['95*48=4560'] Exploring Operation: 4560/38=120, Resulting Numbers: [30, 120] Generated Node #3: [30, 120] from Operation: 4560/38=120 Current State: 90:[30, 120], Operations: ['95*48=4560', '4560/38=120'] Exploring Operation: 120-30=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 81, 69, 56, 10 ]
64
[ "81-69=12", "10*12=120", "120-56=64" ]
Current State: 64:[81, 69, 56, 10], Operations: [] Exploring Operation: 81-69=12, Resulting Numbers: [56, 10, 12] Generated Node #2: [56, 10, 12] from Operation: 81-69=12 Current State: 64:[56, 10, 12], Operations: ['81-69=12'] Exploring Operation: 10*12=120, Resulting Numbers: [56, 120] Generated Node #3: [56, 120] from Operation: 10*12=120 Current State: 64:[56, 120], Operations: ['81-69=12', '10*12=120'] Exploring Operation: 120-56=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 26, 46, 36, 63 ]
47
[ "46-26=20", "63-36=27", "20+27=47" ]
Current State: 47:[26, 46, 36, 63], Operations: [] Exploring Operation: 46-26=20, Resulting Numbers: [36, 63, 20] Generated Node #2: [36, 63, 20] from Operation: 46-26=20 Current State: 47:[36, 63, 20], Operations: ['46-26=20'] Exploring Operation: 63-36=27, Resulting Numbers: [20, 27] Generated Node #3: [20, 27] from Operation: 63-36=27 Current State: 47:[20, 27], Operations: ['46-26=20', '63-36=27'] Exploring Operation: 20+27=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 32, 66, 89, 33 ]
90
[ "66-32=34", "89-33=56", "34+56=90" ]
Current State: 90:[32, 66, 89, 33], Operations: [] Exploring Operation: 66-32=34, Resulting Numbers: [89, 33, 34] Generated Node #2: [89, 33, 34] from Operation: 66-32=34 Current State: 90:[89, 33, 34], Operations: ['66-32=34'] Exploring Operation: 89-33=56, Resulting Numbers: [34, 56] Generated Node #3: [34, 56] from Operation: 89-33=56 Current State: 90:[34, 56], Operations: ['66-32=34', '89-33=56'] Exploring Operation: 34+56=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 15, 75, 55, 23 ]
34
[ "75/15=5", "55/5=11", "23+11=34" ]
Current State: 34:[15, 75, 55, 23], Operations: [] Exploring Operation: 75/15=5, Resulting Numbers: [55, 23, 5] Generated Node #2: [55, 23, 5] from Operation: 75/15=5 Current State: 34:[55, 23, 5], Operations: ['75/15=5'] Exploring Operation: 55/5=11, Resulting Numbers: [23, 11] Generated Node #3: [23, 11] from Operation: 55/5=11 Current State: 34:[23, 11], Operations: ['75/15=5', '55/5=11'] Exploring Operation: 23+11=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 15, 16, 43, 5 ]
25
[ "15*16=240", "43*5=215", "240-215=25" ]
Current State: 25:[15, 16, 43, 5], Operations: [] Exploring Operation: 15*16=240, Resulting Numbers: [43, 5, 240] Generated Node #2: [43, 5, 240] from Operation: 15*16=240 Current State: 25:[43, 5, 240], Operations: ['15*16=240'] Exploring Operation: 43*5=215, Resulting Numbers: [240, 215] Generated Node #3: [240, 215] from Operation: 43*5=215 Current State: 25:[240, 215], Operations: ['15*16=240', '43*5=215'] Exploring Operation: 240-215=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 73, 70, 34, 35 ]
90
[ "70/35=2", "34/2=17", "73+17=90" ]
Current State: 90:[73, 70, 34, 35], Operations: [] Exploring Operation: 70/35=2, Resulting Numbers: [73, 34, 2] Generated Node #2: [73, 34, 2] from Operation: 70/35=2 Current State: 90:[73, 34, 2], Operations: ['70/35=2'] Exploring Operation: 34/2=17, Resulting Numbers: [73, 17] Generated Node #3: [73, 17] from Operation: 34/2=17 Current State: 90:[73, 17], Operations: ['70/35=2', '34/2=17'] Exploring Operation: 73+17=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 69, 2, 45, 74 ]
85
[ "74-69=5", "2*45=90", "90-5=85" ]
Current State: 85:[69, 2, 45, 74], Operations: [] Exploring Operation: 74-69=5, Resulting Numbers: [2, 45, 5] Generated Node #2: [2, 45, 5] from Operation: 74-69=5 Current State: 85:[2, 45, 5], Operations: ['74-69=5'] Exploring Operation: 2*45=90, Resulting Numbers: [5, 90] Generated Node #3: [5, 90] from Operation: 2*45=90 Current State: 85:[5, 90], Operations: ['74-69=5', '2*45=90'] Exploring Operation: 90-5=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 32, 6, 50, 64 ]
24
[ "32+6=38", "64-50=14", "38-14=24" ]
Current State: 24:[32, 6, 50, 64], Operations: [] Exploring Operation: 32+6=38, Resulting Numbers: [50, 64, 38] Generated Node #2: [50, 64, 38] from Operation: 32+6=38 Current State: 24:[50, 64, 38], Operations: ['32+6=38'] Exploring Operation: 64-50=14, Resulting Numbers: [38, 14] Generated Node #3: [38, 14] from Operation: 64-50=14 Current State: 24:[38, 14], Operations: ['32+6=38', '64-50=14'] Exploring Operation: 38-14=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 58, 42, 9, 20 ]
13
[ "58-42=16", "9+20=29", "29-16=13" ]
Current State: 13:[58, 42, 9, 20], Operations: [] Exploring Operation: 58-42=16, Resulting Numbers: [9, 20, 16] Generated Node #2: [9, 20, 16] from Operation: 58-42=16 Current State: 13:[9, 20, 16], Operations: ['58-42=16'] Exploring Operation: 9+20=29, Resulting Numbers: [16, 29] Generated Node #3: [16, 29] from Operation: 9+20=29 Current State: 13:[16, 29], Operations: ['58-42=16', '9+20=29'] Exploring Operation: 29-16=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 17, 33, 12, 18 ]
22
[ "33-17=16", "18-12=6", "16+6=22" ]
Current State: 22:[17, 33, 12, 18], Operations: [] Exploring Operation: 33-17=16, Resulting Numbers: [12, 18, 16] Generated Node #2: [12, 18, 16] from Operation: 33-17=16 Current State: 22:[12, 18, 16], Operations: ['33-17=16'] Exploring Operation: 18-12=6, Resulting Numbers: [16, 6] Generated Node #3: [16, 6] from Operation: 18-12=6 Current State: 22:[16, 6], Operations: ['33-17=16', '18-12=6'] Exploring Operation: 16+6=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 27, 3, 7, 21 ]
56
[ "27*7=189", "189-21=168", "168/3=56" ]
Current State: 56:[27, 3, 7, 21], Operations: [] Exploring Operation: 27*7=189, Resulting Numbers: [3, 21, 189] Generated Node #2: [3, 21, 189] from Operation: 27*7=189 Current State: 56:[3, 21, 189], Operations: ['27*7=189'] Exploring Operation: 189-21=168, Resulting Numbers: [3, 168] Generated Node #3: [3, 168] from Operation: 189-21=168 Current State: 56:[3, 168], Operations: ['27*7=189', '189-21=168'] Exploring Operation: 168/3=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 88, 16, 23, 18 ]
19
[ "88-16=72", "72/18=4", "23-4=19" ]
Current State: 19:[88, 16, 23, 18], Operations: [] Exploring Operation: 88-16=72, Resulting Numbers: [23, 18, 72] Generated Node #2: [23, 18, 72] from Operation: 88-16=72 Current State: 19:[23, 18, 72], Operations: ['88-16=72'] Exploring Operation: 72/18=4, Resulting Numbers: [23, 4] Generated Node #3: [23, 4] from Operation: 72/18=4 Current State: 19:[23, 4], Operations: ['88-16=72', '72/18=4'] Exploring Operation: 23-4=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 51, 24, 30, 35 ]
32
[ "51-24=27", "35-30=5", "27+5=32" ]
Current State: 32:[51, 24, 30, 35], Operations: [] Exploring Operation: 51-24=27, Resulting Numbers: [30, 35, 27] Generated Node #2: [30, 35, 27] from Operation: 51-24=27 Current State: 32:[30, 35, 27], Operations: ['51-24=27'] Exploring Operation: 35-30=5, Resulting Numbers: [27, 5] Generated Node #3: [27, 5] from Operation: 35-30=5 Current State: 32:[27, 5], Operations: ['51-24=27', '35-30=5'] Exploring Operation: 27+5=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 24, 25, 46, 71 ]
68
[ "24+25=49", "46+71=117", "117-49=68" ]
Current State: 68:[24, 25, 46, 71], Operations: [] Exploring Operation: 24+25=49, Resulting Numbers: [46, 71, 49] Generated Node #2: [46, 71, 49] from Operation: 24+25=49 Current State: 68:[46, 71, 49], Operations: ['24+25=49'] Exploring Operation: 46+71=117, Resulting Numbers: [49, 117] Generated Node #3: [49, 117] from Operation: 46+71=117 Current State: 68:[49, 117], Operations: ['24+25=49', '46+71=117'] Exploring Operation: 117-49=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 27, 1, 68, 34 ]
74
[ "27+1=28", "68+34=102", "102-28=74" ]
Current State: 74:[27, 1, 68, 34], Operations: [] Exploring Operation: 27+1=28, Resulting Numbers: [68, 34, 28] Generated Node #2: [68, 34, 28] from Operation: 27+1=28 Current State: 74:[68, 34, 28], Operations: ['27+1=28'] Exploring Operation: 68+34=102, Resulting Numbers: [28, 102] Generated Node #3: [28, 102] from Operation: 68+34=102 Current State: 74:[28, 102], Operations: ['27+1=28', '68+34=102'] Exploring Operation: 102-28=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 59, 5, 64, 58 ]
63
[ "64*58=3712", "5+3712=3717", "3717/59=63" ]
Current State: 63:[59, 5, 64, 58], Operations: [] Exploring Operation: 64*58=3712, Resulting Numbers: [59, 5, 3712] Generated Node #2: [59, 5, 3712] from Operation: 64*58=3712 Current State: 63:[59, 5, 3712], Operations: ['64*58=3712'] Exploring Operation: 5+3712=3717, Resulting Numbers: [59, 3717] Generated Node #3: [59, 3717] from Operation: 5+3712=3717 Current State: 63:[59, 3717], Operations: ['64*58=3712', '5+3712=3717'] Exploring Operation: 3717/59=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 42, 39, 59, 13 ]
51
[ "59-42=17", "39/13=3", "17*3=51" ]
Current State: 51:[42, 39, 59, 13], Operations: [] Exploring Operation: 59-42=17, Resulting Numbers: [39, 13, 17] Generated Node #2: [39, 13, 17] from Operation: 59-42=17 Current State: 51:[39, 13, 17], Operations: ['59-42=17'] Exploring Operation: 39/13=3, Resulting Numbers: [17, 3] Generated Node #3: [17, 3] from Operation: 39/13=3 Current State: 51:[17, 3], Operations: ['59-42=17', '39/13=3'] Exploring Operation: 17*3=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 45, 47, 40, 62 ]
44
[ "47-45=2", "62-40=22", "2*22=44" ]
Current State: 44:[45, 47, 40, 62], Operations: [] Exploring Operation: 47-45=2, Resulting Numbers: [40, 62, 2] Generated Node #2: [40, 62, 2] from Operation: 47-45=2 Current State: 44:[40, 62, 2], Operations: ['47-45=2'] Exploring Operation: 62-40=22, Resulting Numbers: [2, 22] Generated Node #3: [2, 22] from Operation: 62-40=22 Current State: 44:[2, 22], Operations: ['47-45=2', '62-40=22'] Exploring Operation: 2*22=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 6, 62, 85, 39 ]
10
[ "62-6=56", "85-39=46", "56-46=10" ]
Current State: 10:[6, 62, 85, 39], Operations: [] Exploring Operation: 62-6=56, Resulting Numbers: [85, 39, 56] Generated Node #2: [85, 39, 56] from Operation: 62-6=56 Current State: 10:[85, 39, 56], Operations: ['62-6=56'] Exploring Operation: 85-39=46, Resulting Numbers: [56, 46] Generated Node #3: [56, 46] from Operation: 85-39=46 Current State: 10:[56, 46], Operations: ['62-6=56', '85-39=46'] Exploring Operation: 56-46=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 25, 61, 10, 5 ]
66
[ "25/5=5", "61+10=71", "71-5=66" ]
Current State: 66:[25, 61, 10, 5], Operations: [] Exploring Operation: 25/5=5, Resulting Numbers: [61, 10, 5] Generated Node #2: [61, 10, 5] from Operation: 25/5=5 Current State: 66:[61, 10, 5], Operations: ['25/5=5'] Exploring Operation: 61+10=71, Resulting Numbers: [5, 71] Generated Node #3: [5, 71] from Operation: 61+10=71 Current State: 66:[5, 71], Operations: ['25/5=5', '61+10=71'] Exploring Operation: 71-5=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 8, 78, 35, 14 ]
69
[ "8*14=112", "78-35=43", "112-43=69" ]
Current State: 69:[8, 78, 35, 14], Operations: [] Exploring Operation: 8*14=112, Resulting Numbers: [78, 35, 112] Generated Node #2: [78, 35, 112] from Operation: 8*14=112 Current State: 69:[78, 35, 112], Operations: ['8*14=112'] Exploring Operation: 78-35=43, Resulting Numbers: [112, 43] Generated Node #3: [112, 43] from Operation: 78-35=43 Current State: 69:[112, 43], Operations: ['8*14=112', '78-35=43'] Exploring Operation: 112-43=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 22, 39, 96, 10 ]
25
[ "22+39=61", "96-10=86", "86-61=25" ]
Current State: 25:[22, 39, 96, 10], Operations: [] Exploring Operation: 22+39=61, Resulting Numbers: [96, 10, 61] Generated Node #2: [96, 10, 61] from Operation: 22+39=61 Current State: 25:[96, 10, 61], Operations: ['22+39=61'] Exploring Operation: 96-10=86, Resulting Numbers: [61, 86] Generated Node #3: [61, 86] from Operation: 96-10=86 Current State: 25:[61, 86], Operations: ['22+39=61', '96-10=86'] Exploring Operation: 86-61=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 38, 3, 16, 46 ]
48
[ "3+16=19", "38/19=2", "46+2=48" ]
Current State: 48:[38, 3, 16, 46], Operations: [] Exploring Operation: 3+16=19, Resulting Numbers: [38, 46, 19] Generated Node #2: [38, 46, 19] from Operation: 3+16=19 Current State: 48:[38, 46, 19], Operations: ['3+16=19'] Exploring Operation: 38/19=2, Resulting Numbers: [46, 2] Generated Node #3: [46, 2] from Operation: 38/19=2 Current State: 48:[46, 2], Operations: ['3+16=19', '38/19=2'] Exploring Operation: 46+2=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 21, 10, 36, 7 ]
40
[ "21-10=11", "36-7=29", "11+29=40" ]
Current State: 40:[21, 10, 36, 7], Operations: [] Exploring Operation: 21-10=11, Resulting Numbers: [36, 7, 11] Generated Node #2: [36, 7, 11] from Operation: 21-10=11 Current State: 40:[36, 7, 11], Operations: ['21-10=11'] Exploring Operation: 36-7=29, Resulting Numbers: [11, 29] Generated Node #3: [11, 29] from Operation: 36-7=29 Current State: 40:[11, 29], Operations: ['21-10=11', '36-7=29'] Exploring Operation: 11+29=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 52, 93, 75, 74 ]
41
[ "93-52=41", "75-74=1", "41*1=41" ]
Current State: 41:[52, 93, 75, 74], Operations: [] Exploring Operation: 93-52=41, Resulting Numbers: [75, 74, 41] Generated Node #2: [75, 74, 41] from Operation: 93-52=41 Current State: 41:[75, 74, 41], Operations: ['93-52=41'] Exploring Operation: 75-74=1, Resulting Numbers: [41, 1] Generated Node #3: [41, 1] from Operation: 75-74=1 Current State: 41:[41, 1], Operations: ['93-52=41', '75-74=1'] Exploring Operation: 41*1=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 98, 18, 3, 99 ]
54
[ "99-98=1", "18*3=54", "1*54=54" ]
Current State: 54:[98, 18, 3, 99], Operations: [] Exploring Operation: 99-98=1, Resulting Numbers: [18, 3, 1] Generated Node #2: [18, 3, 1] from Operation: 99-98=1 Current State: 54:[18, 3, 1], Operations: ['99-98=1'] Exploring Operation: 18*3=54, Resulting Numbers: [1, 54] Generated Node #3: [1, 54] from Operation: 18*3=54 Current State: 54:[1, 54], Operations: ['99-98=1', '18*3=54'] Exploring Operation: 1*54=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 41, 44, 30, 21 ]
25
[ "41-30=11", "44/11=4", "21+4=25" ]
Current State: 25:[41, 44, 30, 21], Operations: [] Exploring Operation: 41-30=11, Resulting Numbers: [44, 21, 11] Generated Node #2: [44, 21, 11] from Operation: 41-30=11 Current State: 25:[44, 21, 11], Operations: ['41-30=11'] Exploring Operation: 44/11=4, Resulting Numbers: [21, 4] Generated Node #3: [21, 4] from Operation: 44/11=4 Current State: 25:[21, 4], Operations: ['41-30=11', '44/11=4'] Exploring Operation: 21+4=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 31, 83, 52, 57 ]
26
[ "31+83=114", "52*57=2964", "2964/114=26" ]
Current State: 26:[31, 83, 52, 57], Operations: [] Exploring Operation: 31+83=114, Resulting Numbers: [52, 57, 114] Generated Node #2: [52, 57, 114] from Operation: 31+83=114 Current State: 26:[52, 57, 114], Operations: ['31+83=114'] Exploring Operation: 52*57=2964, Resulting Numbers: [114, 2964] Generated Node #3: [114, 2964] from Operation: 52*57=2964 Current State: 26:[114, 2964], Operations: ['31+83=114', '52*57=2964'] Exploring Operation: 2964/114=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 95, 47, 98, 96 ]
100
[ "95-47=48", "96/48=2", "98+2=100" ]
Current State: 100:[95, 47, 98, 96], Operations: [] Exploring Operation: 95-47=48, Resulting Numbers: [98, 96, 48] Generated Node #2: [98, 96, 48] from Operation: 95-47=48 Current State: 100:[98, 96, 48], Operations: ['95-47=48'] Exploring Operation: 96/48=2, Resulting Numbers: [98, 2] Generated Node #3: [98, 2] from Operation: 96/48=2 Current State: 100:[98, 2], Operations: ['95-47=48', '96/48=2'] Exploring Operation: 98+2=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 80, 30, 77, 22 ]
36
[ "80-77=3", "22*3=66", "66-30=36" ]
Current State: 36:[80, 30, 77, 22], Operations: [] Exploring Operation: 80-77=3, Resulting Numbers: [30, 22, 3] Generated Node #2: [30, 22, 3] from Operation: 80-77=3 Current State: 36:[30, 22, 3], Operations: ['80-77=3'] Exploring Operation: 22*3=66, Resulting Numbers: [30, 66] Generated Node #3: [30, 66] from Operation: 22*3=66 Current State: 36:[30, 66], Operations: ['80-77=3', '22*3=66'] Exploring Operation: 66-30=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 22, 25, 36, 64 ]
76
[ "25-22=3", "36/3=12", "64+12=76" ]
Current State: 76:[22, 25, 36, 64], Operations: [] Exploring Operation: 25-22=3, Resulting Numbers: [36, 64, 3] Generated Node #2: [36, 64, 3] from Operation: 25-22=3 Current State: 76:[36, 64, 3], Operations: ['25-22=3'] Exploring Operation: 36/3=12, Resulting Numbers: [64, 12] Generated Node #3: [64, 12] from Operation: 36/3=12 Current State: 76:[64, 12], Operations: ['25-22=3', '36/3=12'] Exploring Operation: 64+12=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 37, 14, 6, 97 ]
80
[ "37-14=23", "6+97=103", "103-23=80" ]
Current State: 80:[37, 14, 6, 97], Operations: [] Exploring Operation: 37-14=23, Resulting Numbers: [6, 97, 23] Generated Node #2: [6, 97, 23] from Operation: 37-14=23 Current State: 80:[6, 97, 23], Operations: ['37-14=23'] Exploring Operation: 6+97=103, Resulting Numbers: [23, 103] Generated Node #3: [23, 103] from Operation: 6+97=103 Current State: 80:[23, 103], Operations: ['37-14=23', '6+97=103'] Exploring Operation: 103-23=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 71, 35, 28, 7 ]
80
[ "71-7=64", "35*64=2240", "2240/28=80" ]
Current State: 80:[71, 35, 28, 7], Operations: [] Exploring Operation: 71-7=64, Resulting Numbers: [35, 28, 64] Generated Node #2: [35, 28, 64] from Operation: 71-7=64 Current State: 80:[35, 28, 64], Operations: ['71-7=64'] Exploring Operation: 35*64=2240, Resulting Numbers: [28, 2240] Generated Node #3: [28, 2240] from Operation: 35*64=2240 Current State: 80:[28, 2240], Operations: ['71-7=64', '35*64=2240'] Exploring Operation: 2240/28=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 82, 14, 77, 6 ]
61
[ "82+14=96", "96/6=16", "77-16=61" ]
Current State: 61:[82, 14, 77, 6], Operations: [] Exploring Operation: 82+14=96, Resulting Numbers: [77, 6, 96] Generated Node #2: [77, 6, 96] from Operation: 82+14=96 Current State: 61:[77, 6, 96], Operations: ['82+14=96'] Exploring Operation: 96/6=16, Resulting Numbers: [77, 16] Generated Node #3: [77, 16] from Operation: 96/6=16 Current State: 61:[77, 16], Operations: ['82+14=96', '96/6=16'] Exploring Operation: 77-16=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4