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
[ 9, 14, 92, 84 ]
95
[ "9+92=101", "84/14=6", "101-6=95" ]
Current State: 95:[9, 14, 92, 84], Operations: [] Exploring Operation: 9+92=101, Resulting Numbers: [14, 84, 101] Generated Node #2: [14, 84, 101] from Operation: 9+92=101 Current State: 95:[14, 84, 101], Operations: ['9+92=101'] Exploring Operation: 84/14=6, Resulting Numbers: [101, 6] Generated Node #3: [101, 6] from Operation: 84/14=6 Current State: 95:[101, 6], Operations: ['9+92=101', '84/14=6'] Exploring Operation: 101-6=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 26, 47, 18, 35 ]
45
[ "35-26=9", "18/9=2", "47-2=45" ]
Current State: 45:[26, 47, 18, 35], Operations: [] Exploring Operation: 35-26=9, Resulting Numbers: [47, 18, 9] Generated Node #2: [47, 18, 9] from Operation: 35-26=9 Current State: 45:[47, 18, 9], Operations: ['35-26=9'] Exploring Operation: 18/9=2, Resulting Numbers: [47, 2] Generated Node #3: [47, 2] from Operation: 18/9=2 Current State: 45:[47, 2], Operations: ['35-26=9', '18/9=2'] Exploring Operation: 47-2=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 36, 48, 20, 28 ]
76
[ "36+48=84", "28-20=8", "84-8=76" ]
Current State: 76:[36, 48, 20, 28], Operations: [] Exploring Operation: 36+48=84, Resulting Numbers: [20, 28, 84] Generated Node #2: [20, 28, 84] from Operation: 36+48=84 Current State: 76:[20, 28, 84], Operations: ['36+48=84'] Exploring Operation: 28-20=8, Resulting Numbers: [84, 8] Generated Node #3: [84, 8] from Operation: 28-20=8 Current State: 76:[84, 8], Operations: ['36+48=84', '28-20=8'] Exploring Operation: 84-8=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 65, 87, 53, 46 ]
53
[ "65+87=152", "53+46=99", "152-99=53" ]
Current State: 53:[65, 87, 53, 46], Operations: [] Exploring Operation: 65+87=152, Resulting Numbers: [53, 46, 152] Generated Node #2: [53, 46, 152] from Operation: 65+87=152 Current State: 53:[53, 46, 152], Operations: ['65+87=152'] Exploring Operation: 53+46=99, Resulting Numbers: [152, 99] Generated Node #3: [152, 99] from Operation: 53+46=99 Current State: 53:[152, 99], Operations: ['65+87=152', '53+46=99'] Exploring Operation: 152-99=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 40, 18, 15, 29 ]
72
[ "40+18=58", "29-15=14", "58+14=72" ]
Current State: 72:[40, 18, 15, 29], Operations: [] Exploring Operation: 40+18=58, Resulting Numbers: [15, 29, 58] Generated Node #2: [15, 29, 58] from Operation: 40+18=58 Current State: 72:[15, 29, 58], Operations: ['40+18=58'] Exploring Operation: 29-15=14, Resulting Numbers: [58, 14] Generated Node #3: [58, 14] from Operation: 29-15=14 Current State: 72:[58, 14], Operations: ['40+18=58', '29-15=14'] Exploring Operation: 58+14=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 4, 7, 58, 90 ]
88
[ "7-4=3", "90/3=30", "58+30=88" ]
Current State: 88:[4, 7, 58, 90], Operations: [] Exploring Operation: 7-4=3, Resulting Numbers: [58, 90, 3] Generated Node #2: [58, 90, 3] from Operation: 7-4=3 Current State: 88:[58, 90, 3], Operations: ['7-4=3'] Exploring Operation: 90/3=30, Resulting Numbers: [58, 30] Generated Node #3: [58, 30] from Operation: 90/3=30 Current State: 88:[58, 30], Operations: ['7-4=3', '90/3=30'] Exploring Operation: 58+30=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 36, 55, 81, 74 ]
98
[ "36+55=91", "81-74=7", "91+7=98" ]
Current State: 98:[36, 55, 81, 74], Operations: [] Exploring Operation: 36+55=91, Resulting Numbers: [81, 74, 91] Generated Node #2: [81, 74, 91] from Operation: 36+55=91 Current State: 98:[81, 74, 91], Operations: ['36+55=91'] Exploring Operation: 81-74=7, Resulting Numbers: [91, 7] Generated Node #3: [91, 7] from Operation: 81-74=7 Current State: 98:[91, 7], Operations: ['36+55=91', '81-74=7'] Exploring Operation: 91+7=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 72, 40, 74, 24 ]
46
[ "72*40=2880", "2880/24=120", "120-74=46" ]
Current State: 46:[72, 40, 74, 24], Operations: [] Exploring Operation: 72*40=2880, Resulting Numbers: [74, 24, 2880] Generated Node #2: [74, 24, 2880] from Operation: 72*40=2880 Current State: 46:[74, 24, 2880], Operations: ['72*40=2880'] Exploring Operation: 2880/24=120, Resulting Numbers: [74, 120] Generated Node #3: [74, 120] from Operation: 2880/24=120 Current State: 46:[74, 120], Operations: ['72*40=2880', '2880/24=120'] Exploring Operation: 120-74=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 60, 75, 35, 60 ]
76
[ "60+35=95", "60*95=5700", "5700/75=76" ]
Current State: 76:[60, 75, 35, 60], Operations: [] Exploring Operation: 60+35=95, Resulting Numbers: [75, 95] Generated Node #2: [75, 95] from Operation: 60+35=95 Current State: 76:[75, 95], Operations: ['60+35=95'] Exploring Operation: 60*95=5700, Resulting Numbers: [75, 5700] Generated Node #3: [75, 5700] from Operation: 60*95=5700 Current State: 76:[75, 5700], Operations: ['60+35=95', '60*95=5700'] Exploring Operation: 5700/75=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 9, 75, 42, 79 ]
29
[ "75-9=66", "79-42=37", "66-37=29" ]
Current State: 29:[9, 75, 42, 79], Operations: [] Exploring Operation: 75-9=66, Resulting Numbers: [42, 79, 66] Generated Node #2: [42, 79, 66] from Operation: 75-9=66 Current State: 29:[42, 79, 66], Operations: ['75-9=66'] Exploring Operation: 79-42=37, Resulting Numbers: [66, 37] Generated Node #3: [66, 37] from Operation: 79-42=37 Current State: 29:[66, 37], Operations: ['75-9=66', '79-42=37'] Exploring Operation: 66-37=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 85, 8, 40, 37 ]
43
[ "85-37=48", "40/8=5", "48-5=43" ]
Current State: 43:[85, 8, 40, 37], Operations: [] Exploring Operation: 85-37=48, Resulting Numbers: [8, 40, 48] Generated Node #2: [8, 40, 48] from Operation: 85-37=48 Current State: 43:[8, 40, 48], Operations: ['85-37=48'] Exploring Operation: 40/8=5, Resulting Numbers: [48, 5] Generated Node #3: [48, 5] from Operation: 40/8=5 Current State: 43:[48, 5], Operations: ['85-37=48', '40/8=5'] Exploring Operation: 48-5=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 20, 71, 55, 80 ]
84
[ "71-20=51", "55+80=135", "135-51=84" ]
Current State: 84:[20, 71, 55, 80], Operations: [] Exploring Operation: 71-20=51, Resulting Numbers: [55, 80, 51] Generated Node #2: [55, 80, 51] from Operation: 71-20=51 Current State: 84:[55, 80, 51], Operations: ['71-20=51'] Exploring Operation: 55+80=135, Resulting Numbers: [51, 135] Generated Node #3: [51, 135] from Operation: 55+80=135 Current State: 84:[51, 135], Operations: ['71-20=51', '55+80=135'] Exploring Operation: 135-51=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 55, 7, 51, 71 ]
74
[ "55-7=48", "51+71=122", "122-48=74" ]
Current State: 74:[55, 7, 51, 71], Operations: [] Exploring Operation: 55-7=48, Resulting Numbers: [51, 71, 48] Generated Node #2: [51, 71, 48] from Operation: 55-7=48 Current State: 74:[51, 71, 48], Operations: ['55-7=48'] Exploring Operation: 51+71=122, Resulting Numbers: [48, 122] Generated Node #3: [48, 122] from Operation: 51+71=122 Current State: 74:[48, 122], Operations: ['55-7=48', '51+71=122'] Exploring Operation: 122-48=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 78, 6, 3, 26 ]
75
[ "78+3=81", "6*26=156", "156-81=75" ]
Current State: 75:[78, 6, 3, 26], Operations: [] Exploring Operation: 78+3=81, Resulting Numbers: [6, 26, 81] Generated Node #2: [6, 26, 81] from Operation: 78+3=81 Current State: 75:[6, 26, 81], Operations: ['78+3=81'] Exploring Operation: 6*26=156, Resulting Numbers: [81, 156] Generated Node #3: [81, 156] from Operation: 6*26=156 Current State: 75:[81, 156], Operations: ['78+3=81', '6*26=156'] Exploring Operation: 156-81=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 97, 13, 60, 81 ]
20
[ "97-13=84", "84-81=3", "60/3=20" ]
Current State: 20:[97, 13, 60, 81], Operations: [] Exploring Operation: 97-13=84, Resulting Numbers: [60, 81, 84] Generated Node #2: [60, 81, 84] from Operation: 97-13=84 Current State: 20:[60, 81, 84], Operations: ['97-13=84'] Exploring Operation: 84-81=3, Resulting Numbers: [60, 3] Generated Node #3: [60, 3] from Operation: 84-81=3 Current State: 20:[60, 3], Operations: ['97-13=84', '84-81=3'] Exploring Operation: 60/3=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 43, 2, 56, 10 ]
46
[ "56-43=13", "10+13=23", "2*23=46" ]
Current State: 46:[43, 2, 56, 10], Operations: [] Exploring Operation: 56-43=13, Resulting Numbers: [2, 10, 13] Generated Node #2: [2, 10, 13] from Operation: 56-43=13 Current State: 46:[2, 10, 13], Operations: ['56-43=13'] Exploring Operation: 10+13=23, Resulting Numbers: [2, 23] Generated Node #3: [2, 23] from Operation: 10+13=23 Current State: 46:[2, 23], Operations: ['56-43=13', '10+13=23'] Exploring Operation: 2*23=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 81, 72, 63, 27 ]
27
[ "81-72=9", "63-27=36", "36-9=27" ]
Current State: 27:[81, 72, 63, 27], Operations: [] Exploring Operation: 81-72=9, Resulting Numbers: [63, 27, 9] Generated Node #2: [63, 27, 9] from Operation: 81-72=9 Current State: 27:[63, 27, 9], Operations: ['81-72=9'] Exploring Operation: 63-27=36, Resulting Numbers: [9, 36] Generated Node #3: [9, 36] from Operation: 63-27=36 Current State: 27:[9, 36], Operations: ['81-72=9', '63-27=36'] Exploring Operation: 36-9=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 13, 66, 51, 27 ]
48
[ "66-27=39", "39/13=3", "51-3=48" ]
Current State: 48:[13, 66, 51, 27], Operations: [] Exploring Operation: 66-27=39, Resulting Numbers: [13, 51, 39] Generated Node #2: [13, 51, 39] from Operation: 66-27=39 Current State: 48:[13, 51, 39], Operations: ['66-27=39'] Exploring Operation: 39/13=3, Resulting Numbers: [51, 3] Generated Node #3: [51, 3] from Operation: 39/13=3 Current State: 48:[51, 3], Operations: ['66-27=39', '39/13=3'] Exploring Operation: 51-3=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 14, 7, 8, 72 ]
30
[ "14+7=21", "72/8=9", "21+9=30" ]
Current State: 30:[14, 7, 8, 72], Operations: [] Exploring Operation: 14+7=21, Resulting Numbers: [8, 72, 21] Generated Node #2: [8, 72, 21] from Operation: 14+7=21 Current State: 30:[8, 72, 21], Operations: ['14+7=21'] Exploring Operation: 72/8=9, Resulting Numbers: [21, 9] Generated Node #3: [21, 9] from Operation: 72/8=9 Current State: 30:[21, 9], Operations: ['14+7=21', '72/8=9'] Exploring Operation: 21+9=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 2, 47, 15, 52 ]
58
[ "52/2=26", "47-15=32", "26+32=58" ]
Current State: 58:[2, 47, 15, 52], Operations: [] Exploring Operation: 52/2=26, Resulting Numbers: [47, 15, 26] Generated Node #2: [47, 15, 26] from Operation: 52/2=26 Current State: 58:[47, 15, 26], Operations: ['52/2=26'] Exploring Operation: 47-15=32, Resulting Numbers: [26, 32] Generated Node #3: [26, 32] from Operation: 47-15=32 Current State: 58:[26, 32], Operations: ['52/2=26', '47-15=32'] Exploring Operation: 26+32=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 1, 57, 18, 9 ]
55
[ "1*57=57", "18/9=2", "57-2=55" ]
Current State: 55:[1, 57, 18, 9], Operations: [] Exploring Operation: 1*57=57, Resulting Numbers: [18, 9, 57] Generated Node #2: [18, 9, 57] from Operation: 1*57=57 Current State: 55:[18, 9, 57], Operations: ['1*57=57'] Exploring Operation: 18/9=2, Resulting Numbers: [57, 2] Generated Node #3: [57, 2] from Operation: 18/9=2 Current State: 55:[57, 2], Operations: ['1*57=57', '18/9=2'] Exploring Operation: 57-2=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 85, 12, 29, 35 ]
39
[ "85+35=120", "120/12=10", "29+10=39" ]
Current State: 39:[85, 12, 29, 35], Operations: [] Exploring Operation: 85+35=120, Resulting Numbers: [12, 29, 120] Generated Node #2: [12, 29, 120] from Operation: 85+35=120 Current State: 39:[12, 29, 120], Operations: ['85+35=120'] Exploring Operation: 120/12=10, Resulting Numbers: [29, 10] Generated Node #3: [29, 10] from Operation: 120/12=10 Current State: 39:[29, 10], Operations: ['85+35=120', '120/12=10'] Exploring Operation: 29+10=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 45, 98, 12, 2 ]
20
[ "45*2=90", "98+12=110", "110-90=20" ]
Current State: 20:[45, 98, 12, 2], Operations: [] Exploring Operation: 45*2=90, Resulting Numbers: [98, 12, 90] Generated Node #2: [98, 12, 90] from Operation: 45*2=90 Current State: 20:[98, 12, 90], Operations: ['45*2=90'] Exploring Operation: 98+12=110, Resulting Numbers: [90, 110] Generated Node #3: [90, 110] from Operation: 98+12=110 Current State: 20:[90, 110], Operations: ['45*2=90', '98+12=110'] Exploring Operation: 110-90=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 62, 28, 12, 33 ]
11
[ "62-28=34", "12+33=45", "45-34=11" ]
Current State: 11:[62, 28, 12, 33], Operations: [] Exploring Operation: 62-28=34, Resulting Numbers: [12, 33, 34] Generated Node #2: [12, 33, 34] from Operation: 62-28=34 Current State: 11:[12, 33, 34], Operations: ['62-28=34'] Exploring Operation: 12+33=45, Resulting Numbers: [34, 45] Generated Node #3: [34, 45] from Operation: 12+33=45 Current State: 11:[34, 45], Operations: ['62-28=34', '12+33=45'] Exploring Operation: 45-34=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 89, 95, 93, 14 ]
85
[ "95-89=6", "93-14=79", "6+79=85" ]
Current State: 85:[89, 95, 93, 14], Operations: [] Exploring Operation: 95-89=6, Resulting Numbers: [93, 14, 6] Generated Node #2: [93, 14, 6] from Operation: 95-89=6 Current State: 85:[93, 14, 6], Operations: ['95-89=6'] Exploring Operation: 93-14=79, Resulting Numbers: [6, 79] Generated Node #3: [6, 79] from Operation: 93-14=79 Current State: 85:[6, 79], Operations: ['95-89=6', '93-14=79'] Exploring Operation: 6+79=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 64, 51, 29, 8 ]
24
[ "64-51=13", "29+8=37", "37-13=24" ]
Current State: 24:[64, 51, 29, 8], Operations: [] Exploring Operation: 64-51=13, Resulting Numbers: [29, 8, 13] Generated Node #2: [29, 8, 13] from Operation: 64-51=13 Current State: 24:[29, 8, 13], Operations: ['64-51=13'] Exploring Operation: 29+8=37, Resulting Numbers: [13, 37] Generated Node #3: [13, 37] from Operation: 29+8=37 Current State: 24:[13, 37], Operations: ['64-51=13', '29+8=37'] Exploring Operation: 37-13=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 11, 29, 67, 30 ]
19
[ "29-11=18", "67-30=37", "37-18=19" ]
Current State: 19:[11, 29, 67, 30], Operations: [] Exploring Operation: 29-11=18, Resulting Numbers: [67, 30, 18] Generated Node #2: [67, 30, 18] from Operation: 29-11=18 Current State: 19:[67, 30, 18], Operations: ['29-11=18'] Exploring Operation: 67-30=37, Resulting Numbers: [18, 37] Generated Node #3: [18, 37] from Operation: 67-30=37 Current State: 19:[18, 37], Operations: ['29-11=18', '67-30=37'] Exploring Operation: 37-18=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 22, 70, 87, 61 ]
100
[ "70-22=48", "87+61=148", "148-48=100" ]
Current State: 100:[22, 70, 87, 61], Operations: [] Exploring Operation: 70-22=48, Resulting Numbers: [87, 61, 48] Generated Node #2: [87, 61, 48] from Operation: 70-22=48 Current State: 100:[87, 61, 48], Operations: ['70-22=48'] Exploring Operation: 87+61=148, Resulting Numbers: [48, 148] Generated Node #3: [48, 148] from Operation: 87+61=148 Current State: 100:[48, 148], Operations: ['70-22=48', '87+61=148'] Exploring Operation: 148-48=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 57, 74, 99, 2 ]
65
[ "74-57=17", "2*17=34", "99-34=65" ]
Current State: 65:[57, 74, 99, 2], Operations: [] Exploring Operation: 74-57=17, Resulting Numbers: [99, 2, 17] Generated Node #2: [99, 2, 17] from Operation: 74-57=17 Current State: 65:[99, 2, 17], Operations: ['74-57=17'] Exploring Operation: 2*17=34, Resulting Numbers: [99, 34] Generated Node #3: [99, 34] from Operation: 2*17=34 Current State: 65:[99, 34], Operations: ['74-57=17', '2*17=34'] Exploring Operation: 99-34=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 93, 13, 61, 75 ]
94
[ "93-13=80", "75-61=14", "80+14=94" ]
Current State: 94:[93, 13, 61, 75], Operations: [] Exploring Operation: 93-13=80, Resulting Numbers: [61, 75, 80] Generated Node #2: [61, 75, 80] from Operation: 93-13=80 Current State: 94:[61, 75, 80], Operations: ['93-13=80'] Exploring Operation: 75-61=14, Resulting Numbers: [80, 14] Generated Node #3: [80, 14] from Operation: 75-61=14 Current State: 94:[80, 14], Operations: ['93-13=80', '75-61=14'] Exploring Operation: 80+14=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 32, 43, 40, 23 ]
12
[ "32+43=75", "40+23=63", "75-63=12" ]
Current State: 12:[32, 43, 40, 23], Operations: [] Exploring Operation: 32+43=75, Resulting Numbers: [40, 23, 75] Generated Node #2: [40, 23, 75] from Operation: 32+43=75 Current State: 12:[40, 23, 75], Operations: ['32+43=75'] Exploring Operation: 40+23=63, Resulting Numbers: [75, 63] Generated Node #3: [75, 63] from Operation: 40+23=63 Current State: 12:[75, 63], Operations: ['32+43=75', '40+23=63'] Exploring Operation: 75-63=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 12, 85, 10, 25 ]
50
[ "85-25=60", "60/12=5", "10*5=50" ]
Current State: 50:[12, 85, 10, 25], Operations: [] Exploring Operation: 85-25=60, Resulting Numbers: [12, 10, 60] Generated Node #2: [12, 10, 60] from Operation: 85-25=60 Current State: 50:[12, 10, 60], Operations: ['85-25=60'] Exploring Operation: 60/12=5, Resulting Numbers: [10, 5] Generated Node #3: [10, 5] from Operation: 60/12=5 Current State: 50:[10, 5], Operations: ['85-25=60', '60/12=5'] Exploring Operation: 10*5=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 97, 34, 35, 5 ]
33
[ "97-34=63", "35-5=30", "63-30=33" ]
Current State: 33:[97, 34, 35, 5], Operations: [] Exploring Operation: 97-34=63, Resulting Numbers: [35, 5, 63] Generated Node #2: [35, 5, 63] from Operation: 97-34=63 Current State: 33:[35, 5, 63], Operations: ['97-34=63'] Exploring Operation: 35-5=30, Resulting Numbers: [63, 30] Generated Node #3: [63, 30] from Operation: 35-5=30 Current State: 33:[63, 30], Operations: ['97-34=63', '35-5=30'] Exploring Operation: 63-30=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 48, 36, 80, 30 ]
88
[ "36-30=6", "48/6=8", "80+8=88" ]
Current State: 88:[48, 36, 80, 30], Operations: [] Exploring Operation: 36-30=6, Resulting Numbers: [48, 80, 6] Generated Node #2: [48, 80, 6] from Operation: 36-30=6 Current State: 88:[48, 80, 6], Operations: ['36-30=6'] Exploring Operation: 48/6=8, Resulting Numbers: [80, 8] Generated Node #3: [80, 8] from Operation: 48/6=8 Current State: 88:[80, 8], Operations: ['36-30=6', '48/6=8'] Exploring Operation: 80+8=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 32, 96, 63, 87 ]
34
[ "96/32=3", "87/3=29", "63-29=34" ]
Current State: 34:[32, 96, 63, 87], Operations: [] Exploring Operation: 96/32=3, Resulting Numbers: [63, 87, 3] Generated Node #2: [63, 87, 3] from Operation: 96/32=3 Current State: 34:[63, 87, 3], Operations: ['96/32=3'] Exploring Operation: 87/3=29, Resulting Numbers: [63, 29] Generated Node #3: [63, 29] from Operation: 87/3=29 Current State: 34:[63, 29], Operations: ['96/32=3', '87/3=29'] Exploring Operation: 63-29=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 12, 32, 39, 20 ]
14
[ "12*39=468", "468-20=448", "448/32=14" ]
Current State: 14:[12, 32, 39, 20], Operations: [] Exploring Operation: 12*39=468, Resulting Numbers: [32, 20, 468] Generated Node #2: [32, 20, 468] from Operation: 12*39=468 Current State: 14:[32, 20, 468], Operations: ['12*39=468'] Exploring Operation: 468-20=448, Resulting Numbers: [32, 448] Generated Node #3: [32, 448] from Operation: 468-20=448 Current State: 14:[32, 448], Operations: ['12*39=468', '468-20=448'] Exploring Operation: 448/32=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 58, 39, 7, 54 ]
67
[ "58-54=4", "7*4=28", "39+28=67" ]
Current State: 67:[58, 39, 7, 54], Operations: [] Exploring Operation: 58-54=4, Resulting Numbers: [39, 7, 4] Generated Node #2: [39, 7, 4] from Operation: 58-54=4 Current State: 67:[39, 7, 4], Operations: ['58-54=4'] Exploring Operation: 7*4=28, Resulting Numbers: [39, 28] Generated Node #3: [39, 28] from Operation: 7*4=28 Current State: 67:[39, 28], Operations: ['58-54=4', '7*4=28'] Exploring Operation: 39+28=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 82, 90, 10, 41 ]
82
[ "90-82=8", "10-8=2", "41*2=82" ]
Current State: 82:[82, 90, 10, 41], Operations: [] Exploring Operation: 90-82=8, Resulting Numbers: [10, 41, 8] Generated Node #2: [10, 41, 8] from Operation: 90-82=8 Current State: 82:[10, 41, 8], Operations: ['90-82=8'] Exploring Operation: 10-8=2, Resulting Numbers: [41, 2] Generated Node #3: [41, 2] from Operation: 10-8=2 Current State: 82:[41, 2], Operations: ['90-82=8', '10-8=2'] Exploring Operation: 41*2=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 74, 8, 5, 55 ]
77
[ "74-8=66", "55/5=11", "66+11=77" ]
Current State: 77:[74, 8, 5, 55], Operations: [] Exploring Operation: 74-8=66, Resulting Numbers: [5, 55, 66] Generated Node #2: [5, 55, 66] from Operation: 74-8=66 Current State: 77:[5, 55, 66], Operations: ['74-8=66'] Exploring Operation: 55/5=11, Resulting Numbers: [66, 11] Generated Node #3: [66, 11] from Operation: 55/5=11 Current State: 77:[66, 11], Operations: ['74-8=66', '55/5=11'] Exploring Operation: 66+11=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 59, 68, 5, 54 ]
58
[ "68-59=9", "54-5=49", "9+49=58" ]
Current State: 58:[59, 68, 5, 54], Operations: [] Exploring Operation: 68-59=9, Resulting Numbers: [5, 54, 9] Generated Node #2: [5, 54, 9] from Operation: 68-59=9 Current State: 58:[5, 54, 9], Operations: ['68-59=9'] Exploring Operation: 54-5=49, Resulting Numbers: [9, 49] Generated Node #3: [9, 49] from Operation: 54-5=49 Current State: 58:[9, 49], Operations: ['68-59=9', '54-5=49'] Exploring Operation: 9+49=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 32, 82, 49, 24 ]
75
[ "82-32=50", "49-24=25", "50+25=75" ]
Current State: 75:[32, 82, 49, 24], Operations: [] Exploring Operation: 82-32=50, Resulting Numbers: [49, 24, 50] Generated Node #2: [49, 24, 50] from Operation: 82-32=50 Current State: 75:[49, 24, 50], Operations: ['82-32=50'] Exploring Operation: 49-24=25, Resulting Numbers: [50, 25] Generated Node #3: [50, 25] from Operation: 49-24=25 Current State: 75:[50, 25], Operations: ['82-32=50', '49-24=25'] Exploring Operation: 50+25=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 8, 37, 42, 43 ]
32
[ "37+43=80", "80/8=10", "42-10=32" ]
Current State: 32:[8, 37, 42, 43], Operations: [] Exploring Operation: 37+43=80, Resulting Numbers: [8, 42, 80] Generated Node #2: [8, 42, 80] from Operation: 37+43=80 Current State: 32:[8, 42, 80], Operations: ['37+43=80'] Exploring Operation: 80/8=10, Resulting Numbers: [42, 10] Generated Node #3: [42, 10] from Operation: 80/8=10 Current State: 32:[42, 10], Operations: ['37+43=80', '80/8=10'] Exploring Operation: 42-10=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 3, 41, 62, 83 ]
65
[ "3+41=44", "83-62=21", "44+21=65" ]
Current State: 65:[3, 41, 62, 83], Operations: [] Exploring Operation: 3+41=44, Resulting Numbers: [62, 83, 44] Generated Node #2: [62, 83, 44] from Operation: 3+41=44 Current State: 65:[62, 83, 44], Operations: ['3+41=44'] Exploring Operation: 83-62=21, Resulting Numbers: [44, 21] Generated Node #3: [44, 21] from Operation: 83-62=21 Current State: 65:[44, 21], Operations: ['3+41=44', '83-62=21'] Exploring Operation: 44+21=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 55, 48, 90, 78 ]
30
[ "55*78=4290", "48*90=4320", "4320-4290=30" ]
Current State: 30:[55, 48, 90, 78], Operations: [] Exploring Operation: 55*78=4290, Resulting Numbers: [48, 90, 4290] Generated Node #2: [48, 90, 4290] from Operation: 55*78=4290 Current State: 30:[48, 90, 4290], Operations: ['55*78=4290'] Exploring Operation: 48*90=4320, Resulting Numbers: [4290, 4320] Generated Node #3: [4290, 4320] from Operation: 48*90=4320 Current State: 30:[4290, 4320], Operations: ['55*78=4290', '48*90=4320'] Exploring Operation: 4320-4290=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 48, 29, 20, 42 ]
55
[ "48+29=77", "42-20=22", "77-22=55" ]
Current State: 55:[48, 29, 20, 42], Operations: [] Exploring Operation: 48+29=77, Resulting Numbers: [20, 42, 77] Generated Node #2: [20, 42, 77] from Operation: 48+29=77 Current State: 55:[20, 42, 77], Operations: ['48+29=77'] Exploring Operation: 42-20=22, Resulting Numbers: [77, 22] Generated Node #3: [77, 22] from Operation: 42-20=22 Current State: 55:[77, 22], Operations: ['48+29=77', '42-20=22'] Exploring Operation: 77-22=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 56, 7, 25, 8 ]
14
[ "56*8=448", "7+25=32", "448/32=14" ]
Current State: 14:[56, 7, 25, 8], Operations: [] Exploring Operation: 56*8=448, Resulting Numbers: [7, 25, 448] Generated Node #2: [7, 25, 448] from Operation: 56*8=448 Current State: 14:[7, 25, 448], Operations: ['56*8=448'] Exploring Operation: 7+25=32, Resulting Numbers: [448, 32] Generated Node #3: [448, 32] from Operation: 7+25=32 Current State: 14:[448, 32], Operations: ['56*8=448', '7+25=32'] Exploring Operation: 448/32=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 14, 93, 6, 18 ]
76
[ "93-14=79", "18/6=3", "79-3=76" ]
Current State: 76:[14, 93, 6, 18], Operations: [] Exploring Operation: 93-14=79, Resulting Numbers: [6, 18, 79] Generated Node #2: [6, 18, 79] from Operation: 93-14=79 Current State: 76:[6, 18, 79], Operations: ['93-14=79'] Exploring Operation: 18/6=3, Resulting Numbers: [79, 3] Generated Node #3: [79, 3] from Operation: 18/6=3 Current State: 76:[79, 3], Operations: ['93-14=79', '18/6=3'] Exploring Operation: 79-3=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 73, 9, 25, 35 ]
92
[ "73+9=82", "35-25=10", "82+10=92" ]
Current State: 92:[73, 9, 25, 35], Operations: [] Exploring Operation: 73+9=82, Resulting Numbers: [25, 35, 82] Generated Node #2: [25, 35, 82] from Operation: 73+9=82 Current State: 92:[25, 35, 82], Operations: ['73+9=82'] Exploring Operation: 35-25=10, Resulting Numbers: [82, 10] Generated Node #3: [82, 10] from Operation: 35-25=10 Current State: 92:[82, 10], Operations: ['73+9=82', '35-25=10'] Exploring Operation: 82+10=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 50, 4, 76, 39 ]
91
[ "50+4=54", "76-39=37", "54+37=91" ]
Current State: 91:[50, 4, 76, 39], Operations: [] Exploring Operation: 50+4=54, Resulting Numbers: [76, 39, 54] Generated Node #2: [76, 39, 54] from Operation: 50+4=54 Current State: 91:[76, 39, 54], Operations: ['50+4=54'] Exploring Operation: 76-39=37, Resulting Numbers: [54, 37] Generated Node #3: [54, 37] from Operation: 76-39=37 Current State: 91:[54, 37], Operations: ['50+4=54', '76-39=37'] Exploring Operation: 54+37=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 65, 84, 26, 95 ]
46
[ "26*95=2470", "2470/65=38", "84-38=46" ]
Current State: 46:[65, 84, 26, 95], Operations: [] Exploring Operation: 26*95=2470, Resulting Numbers: [65, 84, 2470] Generated Node #2: [65, 84, 2470] from Operation: 26*95=2470 Current State: 46:[65, 84, 2470], Operations: ['26*95=2470'] Exploring Operation: 2470/65=38, Resulting Numbers: [84, 38] Generated Node #3: [84, 38] from Operation: 2470/65=38 Current State: 46:[84, 38], Operations: ['26*95=2470', '2470/65=38'] Exploring Operation: 84-38=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 76, 54, 33, 36 ]
81
[ "76*54=4104", "4104/36=114", "114-33=81" ]
Current State: 81:[76, 54, 33, 36], Operations: [] Exploring Operation: 76*54=4104, Resulting Numbers: [33, 36, 4104] Generated Node #2: [33, 36, 4104] from Operation: 76*54=4104 Current State: 81:[33, 36, 4104], Operations: ['76*54=4104'] Exploring Operation: 4104/36=114, Resulting Numbers: [33, 114] Generated Node #3: [33, 114] from Operation: 4104/36=114 Current State: 81:[33, 114], Operations: ['76*54=4104', '4104/36=114'] Exploring Operation: 114-33=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 56, 17, 10, 54 ]
12
[ "56-54=2", "10/2=5", "17-5=12" ]
Current State: 12:[56, 17, 10, 54], Operations: [] Exploring Operation: 56-54=2, Resulting Numbers: [17, 10, 2] Generated Node #2: [17, 10, 2] from Operation: 56-54=2 Current State: 12:[17, 10, 2], Operations: ['56-54=2'] Exploring Operation: 10/2=5, Resulting Numbers: [17, 5] Generated Node #3: [17, 5] from Operation: 10/2=5 Current State: 12:[17, 5], Operations: ['56-54=2', '10/2=5'] Exploring Operation: 17-5=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 52, 40, 11, 89 ]
66
[ "52-40=12", "89-11=78", "78-12=66" ]
Current State: 66:[52, 40, 11, 89], Operations: [] Exploring Operation: 52-40=12, Resulting Numbers: [11, 89, 12] Generated Node #2: [11, 89, 12] from Operation: 52-40=12 Current State: 66:[11, 89, 12], Operations: ['52-40=12'] Exploring Operation: 89-11=78, Resulting Numbers: [12, 78] Generated Node #3: [12, 78] from Operation: 89-11=78 Current State: 66:[12, 78], Operations: ['52-40=12', '89-11=78'] Exploring Operation: 78-12=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 57, 21, 81, 49 ]
52
[ "57+21=78", "81+49=130", "130-78=52" ]
Current State: 52:[57, 21, 81, 49], Operations: [] Exploring Operation: 57+21=78, Resulting Numbers: [81, 49, 78] Generated Node #2: [81, 49, 78] from Operation: 57+21=78 Current State: 52:[81, 49, 78], Operations: ['57+21=78'] Exploring Operation: 81+49=130, Resulting Numbers: [78, 130] Generated Node #3: [78, 130] from Operation: 81+49=130 Current State: 52:[78, 130], Operations: ['57+21=78', '81+49=130'] Exploring Operation: 130-78=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 7, 26, 63, 17 ]
79
[ "7+26=33", "63-17=46", "33+46=79" ]
Current State: 79:[7, 26, 63, 17], Operations: [] Exploring Operation: 7+26=33, Resulting Numbers: [63, 17, 33] Generated Node #2: [63, 17, 33] from Operation: 7+26=33 Current State: 79:[63, 17, 33], Operations: ['7+26=33'] Exploring Operation: 63-17=46, Resulting Numbers: [33, 46] Generated Node #3: [33, 46] from Operation: 63-17=46 Current State: 79:[33, 46], Operations: ['7+26=33', '63-17=46'] Exploring Operation: 33+46=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 56, 97, 18, 70 ]
90
[ "56+70=126", "126/18=7", "97-7=90" ]
Current State: 90:[56, 97, 18, 70], Operations: [] Exploring Operation: 56+70=126, Resulting Numbers: [97, 18, 126] Generated Node #2: [97, 18, 126] from Operation: 56+70=126 Current State: 90:[97, 18, 126], Operations: ['56+70=126'] Exploring Operation: 126/18=7, Resulting Numbers: [97, 7] Generated Node #3: [97, 7] from Operation: 126/18=7 Current State: 90:[97, 7], Operations: ['56+70=126', '126/18=7'] Exploring Operation: 97-7=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 4, 38, 57, 29 ]
62
[ "38-4=34", "57-29=28", "34+28=62" ]
Current State: 62:[4, 38, 57, 29], Operations: [] Exploring Operation: 38-4=34, Resulting Numbers: [57, 29, 34] Generated Node #2: [57, 29, 34] from Operation: 38-4=34 Current State: 62:[57, 29, 34], Operations: ['38-4=34'] Exploring Operation: 57-29=28, Resulting Numbers: [34, 28] Generated Node #3: [34, 28] from Operation: 57-29=28 Current State: 62:[34, 28], Operations: ['38-4=34', '57-29=28'] Exploring Operation: 34+28=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 10, 91, 53, 36 ]
62
[ "91*36=3276", "10+3276=3286", "3286/53=62" ]
Current State: 62:[10, 91, 53, 36], Operations: [] Exploring Operation: 91*36=3276, Resulting Numbers: [10, 53, 3276] Generated Node #2: [10, 53, 3276] from Operation: 91*36=3276 Current State: 62:[10, 53, 3276], Operations: ['91*36=3276'] Exploring Operation: 10+3276=3286, Resulting Numbers: [53, 3286] Generated Node #3: [53, 3286] from Operation: 10+3276=3286 Current State: 62:[53, 3286], Operations: ['91*36=3276', '10+3276=3286'] Exploring Operation: 3286/53=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 81, 66, 79, 41 ]
27
[ "81+66=147", "79+41=120", "147-120=27" ]
Current State: 27:[81, 66, 79, 41], Operations: [] Exploring Operation: 81+66=147, Resulting Numbers: [79, 41, 147] Generated Node #2: [79, 41, 147] from Operation: 81+66=147 Current State: 27:[79, 41, 147], Operations: ['81+66=147'] Exploring Operation: 79+41=120, Resulting Numbers: [147, 120] Generated Node #3: [147, 120] from Operation: 79+41=120 Current State: 27:[147, 120], Operations: ['81+66=147', '79+41=120'] Exploring Operation: 147-120=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 78, 5, 2, 16 ]
100
[ "16-5=11", "2*11=22", "78+22=100" ]
Current State: 100:[78, 5, 2, 16], Operations: [] Exploring Operation: 16-5=11, Resulting Numbers: [78, 2, 11] Generated Node #2: [78, 2, 11] from Operation: 16-5=11 Current State: 100:[78, 2, 11], Operations: ['16-5=11'] Exploring Operation: 2*11=22, Resulting Numbers: [78, 22] Generated Node #3: [78, 22] from Operation: 2*11=22 Current State: 100:[78, 22], Operations: ['16-5=11', '2*11=22'] Exploring Operation: 78+22=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 86, 9, 76, 11 ]
89
[ "86-76=10", "9*11=99", "99-10=89" ]
Current State: 89:[86, 9, 76, 11], Operations: [] Exploring Operation: 86-76=10, Resulting Numbers: [9, 11, 10] Generated Node #2: [9, 11, 10] from Operation: 86-76=10 Current State: 89:[9, 11, 10], Operations: ['86-76=10'] Exploring Operation: 9*11=99, Resulting Numbers: [10, 99] Generated Node #3: [10, 99] from Operation: 9*11=99 Current State: 89:[10, 99], Operations: ['86-76=10', '9*11=99'] Exploring Operation: 99-10=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 68, 72, 78, 45 ]
16
[ "78-68=10", "72*10=720", "720/45=16" ]
Current State: 16:[68, 72, 78, 45], Operations: [] Exploring Operation: 78-68=10, Resulting Numbers: [72, 45, 10] Generated Node #2: [72, 45, 10] from Operation: 78-68=10 Current State: 16:[72, 45, 10], Operations: ['78-68=10'] Exploring Operation: 72*10=720, Resulting Numbers: [45, 720] Generated Node #3: [45, 720] from Operation: 72*10=720 Current State: 16:[45, 720], Operations: ['78-68=10', '72*10=720'] Exploring Operation: 720/45=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 27, 4, 42, 86 ]
21
[ "27-4=23", "86-42=44", "44-23=21" ]
Current State: 21:[27, 4, 42, 86], Operations: [] Exploring Operation: 27-4=23, Resulting Numbers: [42, 86, 23] Generated Node #2: [42, 86, 23] from Operation: 27-4=23 Current State: 21:[42, 86, 23], Operations: ['27-4=23'] Exploring Operation: 86-42=44, Resulting Numbers: [23, 44] Generated Node #3: [23, 44] from Operation: 86-42=44 Current State: 21:[23, 44], Operations: ['27-4=23', '86-42=44'] Exploring Operation: 44-23=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 63, 40, 83, 40 ]
100
[ "63-40=23", "83+40=123", "123-23=100" ]
Current State: 100:[63, 40, 83, 40], Operations: [] Exploring Operation: 63-40=23, Resulting Numbers: [83, 23] Generated Node #2: [83, 23] from Operation: 63-40=23 Current State: 100:[83, 23], Operations: ['63-40=23'] Exploring Operation: 83+40=123, Resulting Numbers: [23, 123] Generated Node #3: [23, 123] from Operation: 83+40=123 Current State: 100:[23, 123], Operations: ['63-40=23', '83+40=123'] Exploring Operation: 123-23=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 36, 81, 80, 41 ]
18
[ "81-41=40", "36*40=1440", "1440/80=18" ]
Current State: 18:[36, 81, 80, 41], Operations: [] Exploring Operation: 81-41=40, Resulting Numbers: [36, 80, 40] Generated Node #2: [36, 80, 40] from Operation: 81-41=40 Current State: 18:[36, 80, 40], Operations: ['81-41=40'] Exploring Operation: 36*40=1440, Resulting Numbers: [80, 1440] Generated Node #3: [80, 1440] from Operation: 36*40=1440 Current State: 18:[80, 1440], Operations: ['81-41=40', '36*40=1440'] Exploring Operation: 1440/80=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 91, 63, 22, 29 ]
82
[ "29-22=7", "63/7=9", "91-9=82" ]
Current State: 82:[91, 63, 22, 29], Operations: [] Exploring Operation: 29-22=7, Resulting Numbers: [91, 63, 7] Generated Node #2: [91, 63, 7] from Operation: 29-22=7 Current State: 82:[91, 63, 7], Operations: ['29-22=7'] Exploring Operation: 63/7=9, Resulting Numbers: [91, 9] Generated Node #3: [91, 9] from Operation: 63/7=9 Current State: 82:[91, 9], Operations: ['29-22=7', '63/7=9'] Exploring Operation: 91-9=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 52, 18, 52, 66 ]
85
[ "52/52=1", "18+66=84", "1+84=85" ]
Current State: 85:[52, 18, 52, 66], Operations: [] Exploring Operation: 52/52=1, Resulting Numbers: [18, 66, 1] Generated Node #2: [18, 66, 1] from Operation: 52/52=1 Current State: 85:[18, 66, 1], Operations: ['52/52=1'] Exploring Operation: 18+66=84, Resulting Numbers: [1, 84] Generated Node #3: [1, 84] from Operation: 18+66=84 Current State: 85:[1, 84], Operations: ['52/52=1', '18+66=84'] Exploring Operation: 1+84=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 66, 33, 2, 1 ]
17
[ "66-33=33", "1+33=34", "34/2=17" ]
Current State: 17:[66, 33, 2, 1], Operations: [] Exploring Operation: 66-33=33, Resulting Numbers: [2, 1, 33] Generated Node #2: [2, 1, 33] from Operation: 66-33=33 Current State: 17:[2, 1, 33], Operations: ['66-33=33'] Exploring Operation: 1+33=34, Resulting Numbers: [2, 34] Generated Node #3: [2, 34] from Operation: 1+33=34 Current State: 17:[2, 34], Operations: ['66-33=33', '1+33=34'] Exploring Operation: 34/2=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 28, 70, 70, 14 ]
14
[ "28+70=98", "70+14=84", "98-84=14" ]
Current State: 14:[28, 70, 70, 14], Operations: [] Exploring Operation: 28+70=98, Resulting Numbers: [14, 98] Generated Node #2: [14, 98] from Operation: 28+70=98 Current State: 14:[14, 98], Operations: ['28+70=98'] Exploring Operation: 70+14=84, Resulting Numbers: [98, 84] Generated Node #3: [98, 84] from Operation: 70+14=84 Current State: 14:[98, 84], Operations: ['28+70=98', '70+14=84'] Exploring Operation: 98-84=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 43, 2, 10, 89 ]
17
[ "43+10=53", "2*53=106", "106-89=17" ]
Current State: 17:[43, 2, 10, 89], Operations: [] Exploring Operation: 43+10=53, Resulting Numbers: [2, 89, 53] Generated Node #2: [2, 89, 53] from Operation: 43+10=53 Current State: 17:[2, 89, 53], Operations: ['43+10=53'] Exploring Operation: 2*53=106, Resulting Numbers: [89, 106] Generated Node #3: [89, 106] from Operation: 2*53=106 Current State: 17:[89, 106], Operations: ['43+10=53', '2*53=106'] Exploring Operation: 106-89=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 16, 29, 8, 45 ]
37
[ "16/8=2", "29+45=74", "74/2=37" ]
Current State: 37:[16, 29, 8, 45], Operations: [] Exploring Operation: 16/8=2, Resulting Numbers: [29, 45, 2] Generated Node #2: [29, 45, 2] from Operation: 16/8=2 Current State: 37:[29, 45, 2], Operations: ['16/8=2'] Exploring Operation: 29+45=74, Resulting Numbers: [2, 74] Generated Node #3: [2, 74] from Operation: 29+45=74 Current State: 37:[2, 74], Operations: ['16/8=2', '29+45=74'] Exploring Operation: 74/2=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 2, 2, 26, 30 ]
19
[ "26/2=13", "2+30=32", "32-13=19" ]
Current State: 19:[2, 2, 26, 30], Operations: [] Exploring Operation: 26/2=13, Resulting Numbers: [30, 13] Generated Node #2: [30, 13] from Operation: 26/2=13 Current State: 19:[30, 13], Operations: ['26/2=13'] Exploring Operation: 2+30=32, Resulting Numbers: [13, 32] Generated Node #3: [13, 32] from Operation: 2+30=32 Current State: 19:[13, 32], Operations: ['26/2=13', '2+30=32'] Exploring Operation: 32-13=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 86, 20, 95, 54 ]
65
[ "86+20=106", "95-54=41", "106-41=65" ]
Current State: 65:[86, 20, 95, 54], Operations: [] Exploring Operation: 86+20=106, Resulting Numbers: [95, 54, 106] Generated Node #2: [95, 54, 106] from Operation: 86+20=106 Current State: 65:[95, 54, 106], Operations: ['86+20=106'] Exploring Operation: 95-54=41, Resulting Numbers: [106, 41] Generated Node #3: [106, 41] from Operation: 95-54=41 Current State: 65:[106, 41], Operations: ['86+20=106', '95-54=41'] Exploring Operation: 106-41=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 18, 28, 93, 59 ]
22
[ "18*93=1674", "28*59=1652", "1674-1652=22" ]
Current State: 22:[18, 28, 93, 59], Operations: [] Exploring Operation: 18*93=1674, Resulting Numbers: [28, 59, 1674] Generated Node #2: [28, 59, 1674] from Operation: 18*93=1674 Current State: 22:[28, 59, 1674], Operations: ['18*93=1674'] Exploring Operation: 28*59=1652, Resulting Numbers: [1674, 1652] Generated Node #3: [1674, 1652] from Operation: 28*59=1652 Current State: 22:[1674, 1652], Operations: ['18*93=1674', '28*59=1652'] Exploring Operation: 1674-1652=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 58, 84, 82, 48 ]
80
[ "58+82=140", "48*140=6720", "6720/84=80" ]
Current State: 80:[58, 84, 82, 48], Operations: [] Exploring Operation: 58+82=140, Resulting Numbers: [84, 48, 140] Generated Node #2: [84, 48, 140] from Operation: 58+82=140 Current State: 80:[84, 48, 140], Operations: ['58+82=140'] Exploring Operation: 48*140=6720, Resulting Numbers: [84, 6720] Generated Node #3: [84, 6720] from Operation: 48*140=6720 Current State: 80:[84, 6720], Operations: ['58+82=140', '48*140=6720'] Exploring Operation: 6720/84=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 38, 85, 1, 5 ]
67
[ "5-1=4", "38*4=152", "152-85=67" ]
Current State: 67:[38, 85, 1, 5], Operations: [] Exploring Operation: 5-1=4, Resulting Numbers: [38, 85, 4] Generated Node #2: [38, 85, 4] from Operation: 5-1=4 Current State: 67:[38, 85, 4], Operations: ['5-1=4'] Exploring Operation: 38*4=152, Resulting Numbers: [85, 152] Generated Node #3: [85, 152] from Operation: 38*4=152 Current State: 67:[85, 152], Operations: ['5-1=4', '38*4=152'] Exploring Operation: 152-85=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 26, 15, 82, 29 ]
37
[ "29-26=3", "15*3=45", "82-45=37" ]
Current State: 37:[26, 15, 82, 29], Operations: [] Exploring Operation: 29-26=3, Resulting Numbers: [15, 82, 3] Generated Node #2: [15, 82, 3] from Operation: 29-26=3 Current State: 37:[15, 82, 3], Operations: ['29-26=3'] Exploring Operation: 15*3=45, Resulting Numbers: [82, 45] Generated Node #3: [82, 45] from Operation: 15*3=45 Current State: 37:[82, 45], Operations: ['29-26=3', '15*3=45'] Exploring Operation: 82-45=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 19, 49, 21, 67 ]
16
[ "49-19=30", "67-21=46", "46-30=16" ]
Current State: 16:[19, 49, 21, 67], Operations: [] Exploring Operation: 49-19=30, Resulting Numbers: [21, 67, 30] Generated Node #2: [21, 67, 30] from Operation: 49-19=30 Current State: 16:[21, 67, 30], Operations: ['49-19=30'] Exploring Operation: 67-21=46, Resulting Numbers: [30, 46] Generated Node #3: [30, 46] from Operation: 67-21=46 Current State: 16:[30, 46], Operations: ['49-19=30', '67-21=46'] Exploring Operation: 46-30=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 40, 24, 6, 42 ]
68
[ "42-24=18", "6*18=108", "108-40=68" ]
Current State: 68:[40, 24, 6, 42], Operations: [] Exploring Operation: 42-24=18, Resulting Numbers: [40, 6, 18] Generated Node #2: [40, 6, 18] from Operation: 42-24=18 Current State: 68:[40, 6, 18], Operations: ['42-24=18'] Exploring Operation: 6*18=108, Resulting Numbers: [40, 108] Generated Node #3: [40, 108] from Operation: 6*18=108 Current State: 68:[40, 108], Operations: ['42-24=18', '6*18=108'] Exploring Operation: 108-40=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 50, 94, 34, 22 ]
36
[ "94-50=44", "44/22=2", "34+2=36" ]
Current State: 36:[50, 94, 34, 22], Operations: [] Exploring Operation: 94-50=44, Resulting Numbers: [34, 22, 44] Generated Node #2: [34, 22, 44] from Operation: 94-50=44 Current State: 36:[34, 22, 44], Operations: ['94-50=44'] Exploring Operation: 44/22=2, Resulting Numbers: [34, 2] Generated Node #3: [34, 2] from Operation: 44/22=2 Current State: 36:[34, 2], Operations: ['94-50=44', '44/22=2'] Exploring Operation: 34+2=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 92, 5, 4, 8 ]
65
[ "92+5=97", "4*8=32", "97-32=65" ]
Current State: 65:[92, 5, 4, 8], Operations: [] Exploring Operation: 92+5=97, Resulting Numbers: [4, 8, 97] Generated Node #2: [4, 8, 97] from Operation: 92+5=97 Current State: 65:[4, 8, 97], Operations: ['92+5=97'] Exploring Operation: 4*8=32, Resulting Numbers: [97, 32] Generated Node #3: [97, 32] from Operation: 4*8=32 Current State: 65:[97, 32], Operations: ['92+5=97', '4*8=32'] Exploring Operation: 97-32=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 56, 84, 47, 70 ]
94
[ "56+84=140", "47*140=6580", "6580/70=94" ]
Current State: 94:[56, 84, 47, 70], Operations: [] Exploring Operation: 56+84=140, Resulting Numbers: [47, 70, 140] Generated Node #2: [47, 70, 140] from Operation: 56+84=140 Current State: 94:[47, 70, 140], Operations: ['56+84=140'] Exploring Operation: 47*140=6580, Resulting Numbers: [70, 6580] Generated Node #3: [70, 6580] from Operation: 47*140=6580 Current State: 94:[70, 6580], Operations: ['56+84=140', '47*140=6580'] Exploring Operation: 6580/70=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 25, 66, 5, 67 ]
29
[ "25+66=91", "67-5=62", "91-62=29" ]
Current State: 29:[25, 66, 5, 67], Operations: [] Exploring Operation: 25+66=91, Resulting Numbers: [5, 67, 91] Generated Node #2: [5, 67, 91] from Operation: 25+66=91 Current State: 29:[5, 67, 91], Operations: ['25+66=91'] Exploring Operation: 67-5=62, Resulting Numbers: [91, 62] Generated Node #3: [91, 62] from Operation: 67-5=62 Current State: 29:[91, 62], Operations: ['25+66=91', '67-5=62'] Exploring Operation: 91-62=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 10, 83, 3, 18 ]
39
[ "10+83=93", "3*18=54", "93-54=39" ]
Current State: 39:[10, 83, 3, 18], Operations: [] Exploring Operation: 10+83=93, Resulting Numbers: [3, 18, 93] Generated Node #2: [3, 18, 93] from Operation: 10+83=93 Current State: 39:[3, 18, 93], Operations: ['10+83=93'] Exploring Operation: 3*18=54, Resulting Numbers: [93, 54] Generated Node #3: [93, 54] from Operation: 3*18=54 Current State: 39:[93, 54], Operations: ['10+83=93', '3*18=54'] Exploring Operation: 93-54=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 29, 74, 76, 17 ]
92
[ "29+17=46", "76-74=2", "46*2=92" ]
Current State: 92:[29, 74, 76, 17], Operations: [] Exploring Operation: 29+17=46, Resulting Numbers: [74, 76, 46] Generated Node #2: [74, 76, 46] from Operation: 29+17=46 Current State: 92:[74, 76, 46], Operations: ['29+17=46'] Exploring Operation: 76-74=2, Resulting Numbers: [46, 2] Generated Node #3: [46, 2] from Operation: 76-74=2 Current State: 92:[46, 2], Operations: ['29+17=46', '76-74=2'] Exploring Operation: 46*2=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 14, 19, 72, 45 ]
60
[ "14+19=33", "72-45=27", "33+27=60" ]
Current State: 60:[14, 19, 72, 45], Operations: [] Exploring Operation: 14+19=33, Resulting Numbers: [72, 45, 33] Generated Node #2: [72, 45, 33] from Operation: 14+19=33 Current State: 60:[72, 45, 33], Operations: ['14+19=33'] Exploring Operation: 72-45=27, Resulting Numbers: [33, 27] Generated Node #3: [33, 27] from Operation: 72-45=27 Current State: 60:[33, 27], Operations: ['14+19=33', '72-45=27'] Exploring Operation: 33+27=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 21, 87, 63, 25 ]
75
[ "87-21=66", "66-63=3", "25*3=75" ]
Current State: 75:[21, 87, 63, 25], Operations: [] Exploring Operation: 87-21=66, Resulting Numbers: [63, 25, 66] Generated Node #2: [63, 25, 66] from Operation: 87-21=66 Current State: 75:[63, 25, 66], Operations: ['87-21=66'] Exploring Operation: 66-63=3, Resulting Numbers: [25, 3] Generated Node #3: [25, 3] from Operation: 66-63=3 Current State: 75:[25, 3], Operations: ['87-21=66', '66-63=3'] Exploring Operation: 25*3=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 36, 40, 4, 1 ]
79
[ "36+40=76", "4-1=3", "76+3=79" ]
Current State: 79:[36, 40, 4, 1], Operations: [] Exploring Operation: 36+40=76, Resulting Numbers: [4, 1, 76] Generated Node #2: [4, 1, 76] from Operation: 36+40=76 Current State: 79:[4, 1, 76], Operations: ['36+40=76'] Exploring Operation: 4-1=3, Resulting Numbers: [76, 3] Generated Node #3: [76, 3] from Operation: 4-1=3 Current State: 79:[76, 3], Operations: ['36+40=76', '4-1=3'] Exploring Operation: 76+3=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 50, 63, 11, 81 ]
62
[ "63-50=13", "11*13=143", "143-81=62" ]
Current State: 62:[50, 63, 11, 81], Operations: [] Exploring Operation: 63-50=13, Resulting Numbers: [11, 81, 13] Generated Node #2: [11, 81, 13] from Operation: 63-50=13 Current State: 62:[11, 81, 13], Operations: ['63-50=13'] Exploring Operation: 11*13=143, Resulting Numbers: [81, 143] Generated Node #3: [81, 143] from Operation: 11*13=143 Current State: 62:[81, 143], Operations: ['63-50=13', '11*13=143'] Exploring Operation: 143-81=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 13, 8, 16, 40 ]
45
[ "13+8=21", "40-16=24", "21+24=45" ]
Current State: 45:[13, 8, 16, 40], Operations: [] Exploring Operation: 13+8=21, Resulting Numbers: [16, 40, 21] Generated Node #2: [16, 40, 21] from Operation: 13+8=21 Current State: 45:[16, 40, 21], Operations: ['13+8=21'] Exploring Operation: 40-16=24, Resulting Numbers: [21, 24] Generated Node #3: [21, 24] from Operation: 40-16=24 Current State: 45:[21, 24], Operations: ['13+8=21', '40-16=24'] Exploring Operation: 21+24=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 41, 93, 59, 49 ]
42
[ "93-41=52", "59-49=10", "52-10=42" ]
Current State: 42:[41, 93, 59, 49], Operations: [] Exploring Operation: 93-41=52, Resulting Numbers: [59, 49, 52] Generated Node #2: [59, 49, 52] from Operation: 93-41=52 Current State: 42:[59, 49, 52], Operations: ['93-41=52'] Exploring Operation: 59-49=10, Resulting Numbers: [52, 10] Generated Node #3: [52, 10] from Operation: 59-49=10 Current State: 42:[52, 10], Operations: ['93-41=52', '59-49=10'] Exploring Operation: 52-10=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 60, 21, 18, 29 ]
93
[ "60-29=31", "21-18=3", "31*3=93" ]
Current State: 93:[60, 21, 18, 29], Operations: [] Exploring Operation: 60-29=31, Resulting Numbers: [21, 18, 31] Generated Node #2: [21, 18, 31] from Operation: 60-29=31 Current State: 93:[21, 18, 31], Operations: ['60-29=31'] Exploring Operation: 21-18=3, Resulting Numbers: [31, 3] Generated Node #3: [31, 3] from Operation: 21-18=3 Current State: 93:[31, 3], Operations: ['60-29=31', '21-18=3'] Exploring Operation: 31*3=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 59, 90, 13, 52 ]
96
[ "90-59=31", "13+52=65", "31+65=96" ]
Current State: 96:[59, 90, 13, 52], Operations: [] Exploring Operation: 90-59=31, Resulting Numbers: [13, 52, 31] Generated Node #2: [13, 52, 31] from Operation: 90-59=31 Current State: 96:[13, 52, 31], Operations: ['90-59=31'] Exploring Operation: 13+52=65, Resulting Numbers: [31, 65] Generated Node #3: [31, 65] from Operation: 13+52=65 Current State: 96:[31, 65], Operations: ['90-59=31', '13+52=65'] Exploring Operation: 31+65=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 39, 50, 81, 32 ]
39
[ "81-50=31", "32-31=1", "39*1=39" ]
Current State: 39:[39, 50, 81, 32], Operations: [] Exploring Operation: 81-50=31, Resulting Numbers: [39, 32, 31] Generated Node #2: [39, 32, 31] from Operation: 81-50=31 Current State: 39:[39, 32, 31], Operations: ['81-50=31'] Exploring Operation: 32-31=1, Resulting Numbers: [39, 1] Generated Node #3: [39, 1] from Operation: 32-31=1 Current State: 39:[39, 1], Operations: ['81-50=31', '32-31=1'] Exploring Operation: 39*1=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 83, 91, 10, 13 ]
93
[ "91-83=8", "10*8=80", "13+80=93" ]
Current State: 93:[83, 91, 10, 13], Operations: [] Exploring Operation: 91-83=8, Resulting Numbers: [10, 13, 8] Generated Node #2: [10, 13, 8] from Operation: 91-83=8 Current State: 93:[10, 13, 8], Operations: ['91-83=8'] Exploring Operation: 10*8=80, Resulting Numbers: [13, 80] Generated Node #3: [13, 80] from Operation: 10*8=80 Current State: 93:[13, 80], Operations: ['91-83=8', '10*8=80'] Exploring Operation: 13+80=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 27, 83, 70, 96 ]
30
[ "83-27=56", "96-70=26", "56-26=30" ]
Current State: 30:[27, 83, 70, 96], Operations: [] Exploring Operation: 83-27=56, Resulting Numbers: [70, 96, 56] Generated Node #2: [70, 96, 56] from Operation: 83-27=56 Current State: 30:[70, 96, 56], Operations: ['83-27=56'] Exploring Operation: 96-70=26, Resulting Numbers: [56, 26] Generated Node #3: [56, 26] from Operation: 96-70=26 Current State: 30:[56, 26], Operations: ['83-27=56', '96-70=26'] Exploring Operation: 56-26=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 41, 29, 52, 2 ]
35
[ "41+52=93", "29*2=58", "93-58=35" ]
Current State: 35:[41, 29, 52, 2], Operations: [] Exploring Operation: 41+52=93, Resulting Numbers: [29, 2, 93] Generated Node #2: [29, 2, 93] from Operation: 41+52=93 Current State: 35:[29, 2, 93], Operations: ['41+52=93'] Exploring Operation: 29*2=58, Resulting Numbers: [93, 58] Generated Node #3: [93, 58] from Operation: 29*2=58 Current State: 35:[93, 58], Operations: ['41+52=93', '29*2=58'] Exploring Operation: 93-58=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 50, 70, 17, 55 ]
25
[ "70-17=53", "55-53=2", "50/2=25" ]
Current State: 25:[50, 70, 17, 55], Operations: [] Exploring Operation: 70-17=53, Resulting Numbers: [50, 55, 53] Generated Node #2: [50, 55, 53] from Operation: 70-17=53 Current State: 25:[50, 55, 53], Operations: ['70-17=53'] Exploring Operation: 55-53=2, Resulting Numbers: [50, 2] Generated Node #3: [50, 2] from Operation: 55-53=2 Current State: 25:[50, 2], Operations: ['70-17=53', '55-53=2'] Exploring Operation: 50/2=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 79, 77, 68, 22 ]
29
[ "79-68=11", "77/11=7", "22+7=29" ]
Current State: 29:[79, 77, 68, 22], Operations: [] Exploring Operation: 79-68=11, Resulting Numbers: [77, 22, 11] Generated Node #2: [77, 22, 11] from Operation: 79-68=11 Current State: 29:[77, 22, 11], Operations: ['79-68=11'] Exploring Operation: 77/11=7, Resulting Numbers: [22, 7] Generated Node #3: [22, 7] from Operation: 77/11=7 Current State: 29:[22, 7], Operations: ['79-68=11', '77/11=7'] Exploring Operation: 22+7=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 37, 2, 36, 26 ]
23
[ "37+2=39", "36+26=62", "62-39=23" ]
Current State: 23:[37, 2, 36, 26], Operations: [] Exploring Operation: 37+2=39, Resulting Numbers: [36, 26, 39] Generated Node #2: [36, 26, 39] from Operation: 37+2=39 Current State: 23:[36, 26, 39], Operations: ['37+2=39'] Exploring Operation: 36+26=62, Resulting Numbers: [39, 62] Generated Node #3: [39, 62] from Operation: 36+26=62 Current State: 23:[39, 62], Operations: ['37+2=39', '36+26=62'] Exploring Operation: 62-39=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4