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
[ 59, 80, 37, 68 ]
63
[ "80+68=148", "148/37=4", "59+4=63" ]
Current State: 63:[59, 80, 37, 68], Operations: [] Exploring Operation: 80+68=148, Resulting Numbers: [59, 37, 148] Generated Node #2: [59, 37, 148] from Operation: 80+68=148 Current State: 63:[59, 37, 148], Operations: ['80+68=148'] Exploring Operation: 148/37=4, Resulting Numbers: [59, 4] Generated Node #3: [59, 4] from Operation: 148/37=4 Current State: 63:[59, 4], Operations: ['80+68=148', '148/37=4'] Exploring Operation: 59+4=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 69, 71, 60, 41 ]
10
[ "69+41=110", "71-60=11", "110/11=10" ]
Current State: 10:[69, 71, 60, 41], Operations: [] Exploring Operation: 69+41=110, Resulting Numbers: [71, 60, 110] Generated Node #2: [71, 60, 110] from Operation: 69+41=110 Current State: 10:[71, 60, 110], Operations: ['69+41=110'] Exploring Operation: 71-60=11, Resulting Numbers: [110, 11] Generated Node #3: [110, 11] from Operation: 71-60=11 Current State: 10:[110, 11], Operations: ['69+41=110', '71-60=11'] Exploring Operation: 110/11=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 67, 20, 94, 72 ]
74
[ "67-20=47", "94/47=2", "72+2=74" ]
Current State: 74:[67, 20, 94, 72], Operations: [] Exploring Operation: 67-20=47, Resulting Numbers: [94, 72, 47] Generated Node #2: [94, 72, 47] from Operation: 67-20=47 Current State: 74:[94, 72, 47], Operations: ['67-20=47'] Exploring Operation: 94/47=2, Resulting Numbers: [72, 2] Generated Node #3: [72, 2] from Operation: 94/47=2 Current State: 74:[72, 2], Operations: ['67-20=47', '94/47=2'] Exploring Operation: 72+2=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 17, 29, 34, 54 ]
87
[ "17+34=51", "54-51=3", "29*3=87" ]
Current State: 87:[17, 29, 34, 54], Operations: [] Exploring Operation: 17+34=51, Resulting Numbers: [29, 54, 51] Generated Node #2: [29, 54, 51] from Operation: 17+34=51 Current State: 87:[29, 54, 51], Operations: ['17+34=51'] Exploring Operation: 54-51=3, Resulting Numbers: [29, 3] Generated Node #3: [29, 3] from Operation: 54-51=3 Current State: 87:[29, 3], Operations: ['17+34=51', '54-51=3'] Exploring Operation: 29*3=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 3, 6, 49, 60 ]
99
[ "3+6=9", "60-49=11", "9*11=99" ]
Current State: 99:[3, 6, 49, 60], Operations: [] Exploring Operation: 3+6=9, Resulting Numbers: [49, 60, 9] Generated Node #2: [49, 60, 9] from Operation: 3+6=9 Current State: 99:[49, 60, 9], Operations: ['3+6=9'] Exploring Operation: 60-49=11, Resulting Numbers: [9, 11] Generated Node #3: [9, 11] from Operation: 60-49=11 Current State: 99:[9, 11], Operations: ['3+6=9', '60-49=11'] Exploring Operation: 9*11=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 28, 14, 97, 13 ]
11
[ "97-13=84", "84/28=3", "14-3=11" ]
Current State: 11:[28, 14, 97, 13], Operations: [] Exploring Operation: 97-13=84, Resulting Numbers: [28, 14, 84] Generated Node #2: [28, 14, 84] from Operation: 97-13=84 Current State: 11:[28, 14, 84], Operations: ['97-13=84'] Exploring Operation: 84/28=3, Resulting Numbers: [14, 3] Generated Node #3: [14, 3] from Operation: 84/28=3 Current State: 11:[14, 3], Operations: ['97-13=84', '84/28=3'] Exploring Operation: 14-3=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 80, 54, 3, 6 ]
94
[ "80*3=240", "240/6=40", "54+40=94" ]
Current State: 94:[80, 54, 3, 6], Operations: [] Exploring Operation: 80*3=240, Resulting Numbers: [54, 6, 240] Generated Node #2: [54, 6, 240] from Operation: 80*3=240 Current State: 94:[54, 6, 240], Operations: ['80*3=240'] Exploring Operation: 240/6=40, Resulting Numbers: [54, 40] Generated Node #3: [54, 40] from Operation: 240/6=40 Current State: 94:[54, 40], Operations: ['80*3=240', '240/6=40'] Exploring Operation: 54+40=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 54, 76, 1, 96 ]
35
[ "54+76=130", "96-1=95", "130-95=35" ]
Current State: 35:[54, 76, 1, 96], Operations: [] Exploring Operation: 54+76=130, Resulting Numbers: [1, 96, 130] Generated Node #2: [1, 96, 130] from Operation: 54+76=130 Current State: 35:[1, 96, 130], Operations: ['54+76=130'] Exploring Operation: 96-1=95, Resulting Numbers: [130, 95] Generated Node #3: [130, 95] from Operation: 96-1=95 Current State: 35:[130, 95], Operations: ['54+76=130', '96-1=95'] Exploring Operation: 130-95=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 5, 2, 41, 46 ]
97
[ "5*2=10", "41+46=87", "10+87=97" ]
Current State: 97:[5, 2, 41, 46], Operations: [] Exploring Operation: 5*2=10, Resulting Numbers: [41, 46, 10] Generated Node #2: [41, 46, 10] from Operation: 5*2=10 Current State: 97:[41, 46, 10], Operations: ['5*2=10'] Exploring Operation: 41+46=87, Resulting Numbers: [10, 87] Generated Node #3: [10, 87] from Operation: 41+46=87 Current State: 97:[10, 87], Operations: ['5*2=10', '41+46=87'] Exploring Operation: 10+87=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 63, 76, 6, 2 ]
98
[ "76-6=70", "70/2=35", "63+35=98" ]
Current State: 98:[63, 76, 6, 2], Operations: [] Exploring Operation: 76-6=70, Resulting Numbers: [63, 2, 70] Generated Node #2: [63, 2, 70] from Operation: 76-6=70 Current State: 98:[63, 2, 70], Operations: ['76-6=70'] Exploring Operation: 70/2=35, Resulting Numbers: [63, 35] Generated Node #3: [63, 35] from Operation: 70/2=35 Current State: 98:[63, 35], Operations: ['76-6=70', '70/2=35'] Exploring Operation: 63+35=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 14, 24, 18, 12 ]
48
[ "18-14=4", "24-12=12", "4*12=48" ]
Current State: 48:[14, 24, 18, 12], Operations: [] Exploring Operation: 18-14=4, Resulting Numbers: [24, 12, 4] Generated Node #2: [24, 12, 4] from Operation: 18-14=4 Current State: 48:[24, 12, 4], Operations: ['18-14=4'] Exploring Operation: 24-12=12, Resulting Numbers: [4, 12] Generated Node #3: [4, 12] from Operation: 24-12=12 Current State: 48:[4, 12], Operations: ['18-14=4', '24-12=12'] Exploring Operation: 4*12=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 91, 40, 42, 19 ]
28
[ "91-40=51", "42-19=23", "51-23=28" ]
Current State: 28:[91, 40, 42, 19], Operations: [] Exploring Operation: 91-40=51, Resulting Numbers: [42, 19, 51] Generated Node #2: [42, 19, 51] from Operation: 91-40=51 Current State: 28:[42, 19, 51], Operations: ['91-40=51'] Exploring Operation: 42-19=23, Resulting Numbers: [51, 23] Generated Node #3: [51, 23] from Operation: 42-19=23 Current State: 28:[51, 23], Operations: ['91-40=51', '42-19=23'] Exploring Operation: 51-23=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 96, 79, 81, 27 ]
51
[ "96-79=17", "81/27=3", "17*3=51" ]
Current State: 51:[96, 79, 81, 27], Operations: [] Exploring Operation: 96-79=17, Resulting Numbers: [81, 27, 17] Generated Node #2: [81, 27, 17] from Operation: 96-79=17 Current State: 51:[81, 27, 17], Operations: ['96-79=17'] Exploring Operation: 81/27=3, Resulting Numbers: [17, 3] Generated Node #3: [17, 3] from Operation: 81/27=3 Current State: 51:[17, 3], Operations: ['96-79=17', '81/27=3'] Exploring Operation: 17*3=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 29, 96, 5, 60 ]
85
[ "29+96=125", "125/5=25", "60+25=85" ]
Current State: 85:[29, 96, 5, 60], Operations: [] Exploring Operation: 29+96=125, Resulting Numbers: [5, 60, 125] Generated Node #2: [5, 60, 125] from Operation: 29+96=125 Current State: 85:[5, 60, 125], Operations: ['29+96=125'] Exploring Operation: 125/5=25, Resulting Numbers: [60, 25] Generated Node #3: [60, 25] from Operation: 125/5=25 Current State: 85:[60, 25], Operations: ['29+96=125', '125/5=25'] Exploring Operation: 60+25=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 50, 27, 41, 53 ]
56
[ "50-41=9", "27/9=3", "53+3=56" ]
Current State: 56:[50, 27, 41, 53], Operations: [] Exploring Operation: 50-41=9, Resulting Numbers: [27, 53, 9] Generated Node #2: [27, 53, 9] from Operation: 50-41=9 Current State: 56:[27, 53, 9], Operations: ['50-41=9'] Exploring Operation: 27/9=3, Resulting Numbers: [53, 3] Generated Node #3: [53, 3] from Operation: 27/9=3 Current State: 56:[53, 3], Operations: ['50-41=9', '27/9=3'] Exploring Operation: 53+3=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 64, 30, 19, 32 ]
68
[ "64*19=1216", "1216/32=38", "30+38=68" ]
Current State: 68:[64, 30, 19, 32], Operations: [] Exploring Operation: 64*19=1216, Resulting Numbers: [30, 32, 1216] Generated Node #2: [30, 32, 1216] from Operation: 64*19=1216 Current State: 68:[30, 32, 1216], Operations: ['64*19=1216'] Exploring Operation: 1216/32=38, Resulting Numbers: [30, 38] Generated Node #3: [30, 38] from Operation: 1216/32=38 Current State: 68:[30, 38], Operations: ['64*19=1216', '1216/32=38'] Exploring Operation: 30+38=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 72, 11, 22, 77 ]
93
[ "72+77=149", "11*22=242", "242-149=93" ]
Current State: 93:[72, 11, 22, 77], Operations: [] Exploring Operation: 72+77=149, Resulting Numbers: [11, 22, 149] Generated Node #2: [11, 22, 149] from Operation: 72+77=149 Current State: 93:[11, 22, 149], Operations: ['72+77=149'] Exploring Operation: 11*22=242, Resulting Numbers: [149, 242] Generated Node #3: [149, 242] from Operation: 11*22=242 Current State: 93:[149, 242], Operations: ['72+77=149', '11*22=242'] Exploring Operation: 242-149=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 85, 88, 33, 22 ]
56
[ "85-33=52", "88/22=4", "52+4=56" ]
Current State: 56:[85, 88, 33, 22], Operations: [] Exploring Operation: 85-33=52, Resulting Numbers: [88, 22, 52] Generated Node #2: [88, 22, 52] from Operation: 85-33=52 Current State: 56:[88, 22, 52], Operations: ['85-33=52'] Exploring Operation: 88/22=4, Resulting Numbers: [52, 4] Generated Node #3: [52, 4] from Operation: 88/22=4 Current State: 56:[52, 4], Operations: ['85-33=52', '88/22=4'] Exploring Operation: 52+4=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 95, 14, 17, 71 ]
79
[ "95+17=112", "112/14=8", "71+8=79" ]
Current State: 79:[95, 14, 17, 71], Operations: [] Exploring Operation: 95+17=112, Resulting Numbers: [14, 71, 112] Generated Node #2: [14, 71, 112] from Operation: 95+17=112 Current State: 79:[14, 71, 112], Operations: ['95+17=112'] Exploring Operation: 112/14=8, Resulting Numbers: [71, 8] Generated Node #3: [71, 8] from Operation: 112/14=8 Current State: 79:[71, 8], Operations: ['95+17=112', '112/14=8'] Exploring Operation: 71+8=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 25, 39, 14, 64 ]
41
[ "64-14=50", "50/25=2", "39+2=41" ]
Current State: 41:[25, 39, 14, 64], Operations: [] Exploring Operation: 64-14=50, Resulting Numbers: [25, 39, 50] Generated Node #2: [25, 39, 50] from Operation: 64-14=50 Current State: 41:[25, 39, 50], Operations: ['64-14=50'] Exploring Operation: 50/25=2, Resulting Numbers: [39, 2] Generated Node #3: [39, 2] from Operation: 50/25=2 Current State: 41:[39, 2], Operations: ['64-14=50', '50/25=2'] Exploring Operation: 39+2=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 11, 23, 74, 10 ]
77
[ "23+10=33", "33/11=3", "74+3=77" ]
Current State: 77:[11, 23, 74, 10], Operations: [] Exploring Operation: 23+10=33, Resulting Numbers: [11, 74, 33] Generated Node #2: [11, 74, 33] from Operation: 23+10=33 Current State: 77:[11, 74, 33], Operations: ['23+10=33'] Exploring Operation: 33/11=3, Resulting Numbers: [74, 3] Generated Node #3: [74, 3] from Operation: 33/11=3 Current State: 77:[74, 3], Operations: ['23+10=33', '33/11=3'] Exploring Operation: 74+3=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 3, 81, 64, 38 ]
24
[ "81-3=78", "64+38=102", "102-78=24" ]
Current State: 24:[3, 81, 64, 38], Operations: [] Exploring Operation: 81-3=78, Resulting Numbers: [64, 38, 78] Generated Node #2: [64, 38, 78] from Operation: 81-3=78 Current State: 24:[64, 38, 78], Operations: ['81-3=78'] Exploring Operation: 64+38=102, Resulting Numbers: [78, 102] Generated Node #3: [78, 102] from Operation: 64+38=102 Current State: 24:[78, 102], Operations: ['81-3=78', '64+38=102'] Exploring Operation: 102-78=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 98, 34, 68, 16 ]
80
[ "98+34=132", "68-16=52", "132-52=80" ]
Current State: 80:[98, 34, 68, 16], Operations: [] Exploring Operation: 98+34=132, Resulting Numbers: [68, 16, 132] Generated Node #2: [68, 16, 132] from Operation: 98+34=132 Current State: 80:[68, 16, 132], Operations: ['98+34=132'] Exploring Operation: 68-16=52, Resulting Numbers: [132, 52] Generated Node #3: [132, 52] from Operation: 68-16=52 Current State: 80:[132, 52], Operations: ['98+34=132', '68-16=52'] Exploring Operation: 132-52=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 2, 11, 4, 18 ]
28
[ "18-2=16", "11*4=44", "44-16=28" ]
Current State: 28:[2, 11, 4, 18], Operations: [] Exploring Operation: 18-2=16, Resulting Numbers: [11, 4, 16] Generated Node #2: [11, 4, 16] from Operation: 18-2=16 Current State: 28:[11, 4, 16], Operations: ['18-2=16'] Exploring Operation: 11*4=44, Resulting Numbers: [16, 44] Generated Node #3: [16, 44] from Operation: 11*4=44 Current State: 28:[16, 44], Operations: ['18-2=16', '11*4=44'] Exploring Operation: 44-16=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 25, 20, 58, 96 ]
62
[ "25*96=2400", "2400/20=120", "120-58=62" ]
Current State: 62:[25, 20, 58, 96], Operations: [] Exploring Operation: 25*96=2400, Resulting Numbers: [20, 58, 2400] Generated Node #2: [20, 58, 2400] from Operation: 25*96=2400 Current State: 62:[20, 58, 2400], Operations: ['25*96=2400'] Exploring Operation: 2400/20=120, Resulting Numbers: [58, 120] Generated Node #3: [58, 120] from Operation: 2400/20=120 Current State: 62:[58, 120], Operations: ['25*96=2400', '2400/20=120'] Exploring Operation: 120-58=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 9, 18, 43, 2 ]
86
[ "9+43=52", "2*52=104", "104-18=86" ]
Current State: 86:[9, 18, 43, 2], Operations: [] Exploring Operation: 9+43=52, Resulting Numbers: [18, 2, 52] Generated Node #2: [18, 2, 52] from Operation: 9+43=52 Current State: 86:[18, 2, 52], Operations: ['9+43=52'] Exploring Operation: 2*52=104, Resulting Numbers: [18, 104] Generated Node #3: [18, 104] from Operation: 2*52=104 Current State: 86:[18, 104], Operations: ['9+43=52', '2*52=104'] Exploring Operation: 104-18=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 8, 72, 34, 80 ]
53
[ "72+80=152", "152/8=19", "34+19=53" ]
Current State: 53:[8, 72, 34, 80], Operations: [] Exploring Operation: 72+80=152, Resulting Numbers: [8, 34, 152] Generated Node #2: [8, 34, 152] from Operation: 72+80=152 Current State: 53:[8, 34, 152], Operations: ['72+80=152'] Exploring Operation: 152/8=19, Resulting Numbers: [34, 19] Generated Node #3: [34, 19] from Operation: 152/8=19 Current State: 53:[34, 19], Operations: ['72+80=152', '152/8=19'] Exploring Operation: 34+19=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 38, 83, 52, 26 ]
95
[ "38+83=121", "52-26=26", "121-26=95" ]
Current State: 95:[38, 83, 52, 26], Operations: [] Exploring Operation: 38+83=121, Resulting Numbers: [52, 26, 121] Generated Node #2: [52, 26, 121] from Operation: 38+83=121 Current State: 95:[52, 26, 121], Operations: ['38+83=121'] Exploring Operation: 52-26=26, Resulting Numbers: [121, 26] Generated Node #3: [121, 26] from Operation: 52-26=26 Current State: 95:[121, 26], Operations: ['38+83=121', '52-26=26'] Exploring Operation: 121-26=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 65, 15, 91, 47 ]
26
[ "15*91=1365", "1365/65=21", "47-21=26" ]
Current State: 26:[65, 15, 91, 47], Operations: [] Exploring Operation: 15*91=1365, Resulting Numbers: [65, 47, 1365] Generated Node #2: [65, 47, 1365] from Operation: 15*91=1365 Current State: 26:[65, 47, 1365], Operations: ['15*91=1365'] Exploring Operation: 1365/65=21, Resulting Numbers: [47, 21] Generated Node #3: [47, 21] from Operation: 1365/65=21 Current State: 26:[47, 21], Operations: ['15*91=1365', '1365/65=21'] Exploring Operation: 47-21=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 36, 35, 80, 97 ]
54
[ "36+35=71", "97-80=17", "71-17=54" ]
Current State: 54:[36, 35, 80, 97], Operations: [] Exploring Operation: 36+35=71, Resulting Numbers: [80, 97, 71] Generated Node #2: [80, 97, 71] from Operation: 36+35=71 Current State: 54:[80, 97, 71], Operations: ['36+35=71'] Exploring Operation: 97-80=17, Resulting Numbers: [71, 17] Generated Node #3: [71, 17] from Operation: 97-80=17 Current State: 54:[71, 17], Operations: ['36+35=71', '97-80=17'] Exploring Operation: 71-17=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 24, 75, 41, 54 ]
64
[ "75-24=51", "54-41=13", "51+13=64" ]
Current State: 64:[24, 75, 41, 54], Operations: [] Exploring Operation: 75-24=51, Resulting Numbers: [41, 54, 51] Generated Node #2: [41, 54, 51] from Operation: 75-24=51 Current State: 64:[41, 54, 51], Operations: ['75-24=51'] Exploring Operation: 54-41=13, Resulting Numbers: [51, 13] Generated Node #3: [51, 13] from Operation: 54-41=13 Current State: 64:[51, 13], Operations: ['75-24=51', '54-41=13'] Exploring Operation: 51+13=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 27, 86, 90, 76 ]
53
[ "27+86=113", "90+76=166", "166-113=53" ]
Current State: 53:[27, 86, 90, 76], Operations: [] Exploring Operation: 27+86=113, Resulting Numbers: [90, 76, 113] Generated Node #2: [90, 76, 113] from Operation: 27+86=113 Current State: 53:[90, 76, 113], Operations: ['27+86=113'] Exploring Operation: 90+76=166, Resulting Numbers: [113, 166] Generated Node #3: [113, 166] from Operation: 90+76=166 Current State: 53:[113, 166], Operations: ['27+86=113', '90+76=166'] Exploring Operation: 166-113=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 15, 18, 49, 19 ]
34
[ "49-15=34", "19-18=1", "34*1=34" ]
Current State: 34:[15, 18, 49, 19], Operations: [] Exploring Operation: 49-15=34, Resulting Numbers: [18, 19, 34] Generated Node #2: [18, 19, 34] from Operation: 49-15=34 Current State: 34:[18, 19, 34], Operations: ['49-15=34'] Exploring Operation: 19-18=1, Resulting Numbers: [34, 1] Generated Node #3: [34, 1] from Operation: 19-18=1 Current State: 34:[34, 1], Operations: ['49-15=34', '19-18=1'] Exploring Operation: 34*1=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 88, 81, 31, 68 ]
92
[ "88-81=7", "31+68=99", "99-7=92" ]
Current State: 92:[88, 81, 31, 68], Operations: [] Exploring Operation: 88-81=7, Resulting Numbers: [31, 68, 7] Generated Node #2: [31, 68, 7] from Operation: 88-81=7 Current State: 92:[31, 68, 7], Operations: ['88-81=7'] Exploring Operation: 31+68=99, Resulting Numbers: [7, 99] Generated Node #3: [7, 99] from Operation: 31+68=99 Current State: 92:[7, 99], Operations: ['88-81=7', '31+68=99'] Exploring Operation: 99-7=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 63, 33, 64, 21 ]
75
[ "63/21=3", "33/3=11", "64+11=75" ]
Current State: 75:[63, 33, 64, 21], Operations: [] Exploring Operation: 63/21=3, Resulting Numbers: [33, 64, 3] Generated Node #2: [33, 64, 3] from Operation: 63/21=3 Current State: 75:[33, 64, 3], Operations: ['63/21=3'] Exploring Operation: 33/3=11, Resulting Numbers: [64, 11] Generated Node #3: [64, 11] from Operation: 33/3=11 Current State: 75:[64, 11], Operations: ['63/21=3', '33/3=11'] Exploring Operation: 64+11=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 18, 46, 23, 19 ]
24
[ "46-18=28", "23-19=4", "28-4=24" ]
Current State: 24:[18, 46, 23, 19], Operations: [] Exploring Operation: 46-18=28, Resulting Numbers: [23, 19, 28] Generated Node #2: [23, 19, 28] from Operation: 46-18=28 Current State: 24:[23, 19, 28], Operations: ['46-18=28'] Exploring Operation: 23-19=4, Resulting Numbers: [28, 4] Generated Node #3: [28, 4] from Operation: 23-19=4 Current State: 24:[28, 4], Operations: ['46-18=28', '23-19=4'] Exploring Operation: 28-4=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 91, 30, 22, 40 ]
92
[ "91-22=69", "40*69=2760", "2760/30=92" ]
Current State: 92:[91, 30, 22, 40], Operations: [] Exploring Operation: 91-22=69, Resulting Numbers: [30, 40, 69] Generated Node #2: [30, 40, 69] from Operation: 91-22=69 Current State: 92:[30, 40, 69], Operations: ['91-22=69'] Exploring Operation: 40*69=2760, Resulting Numbers: [30, 2760] Generated Node #3: [30, 2760] from Operation: 40*69=2760 Current State: 92:[30, 2760], Operations: ['91-22=69', '40*69=2760'] Exploring Operation: 2760/30=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 23, 38, 98, 88 ]
25
[ "38-23=15", "98-88=10", "15+10=25" ]
Current State: 25:[23, 38, 98, 88], Operations: [] Exploring Operation: 38-23=15, Resulting Numbers: [98, 88, 15] Generated Node #2: [98, 88, 15] from Operation: 38-23=15 Current State: 25:[98, 88, 15], Operations: ['38-23=15'] Exploring Operation: 98-88=10, Resulting Numbers: [15, 10] Generated Node #3: [15, 10] from Operation: 98-88=10 Current State: 25:[15, 10], Operations: ['38-23=15', '98-88=10'] Exploring Operation: 15+10=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 31, 26, 88, 39 ]
37
[ "39-31=8", "88/8=11", "26+11=37" ]
Current State: 37:[31, 26, 88, 39], Operations: [] Exploring Operation: 39-31=8, Resulting Numbers: [26, 88, 8] Generated Node #2: [26, 88, 8] from Operation: 39-31=8 Current State: 37:[26, 88, 8], Operations: ['39-31=8'] Exploring Operation: 88/8=11, Resulting Numbers: [26, 11] Generated Node #3: [26, 11] from Operation: 88/8=11 Current State: 37:[26, 11], Operations: ['39-31=8', '88/8=11'] Exploring Operation: 26+11=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 5, 86, 4, 97 ]
63
[ "97-5=92", "92/4=23", "86-23=63" ]
Current State: 63:[5, 86, 4, 97], Operations: [] Exploring Operation: 97-5=92, Resulting Numbers: [86, 4, 92] Generated Node #2: [86, 4, 92] from Operation: 97-5=92 Current State: 63:[86, 4, 92], Operations: ['97-5=92'] Exploring Operation: 92/4=23, Resulting Numbers: [86, 23] Generated Node #3: [86, 23] from Operation: 92/4=23 Current State: 63:[86, 23], Operations: ['97-5=92', '92/4=23'] Exploring Operation: 86-23=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 46, 4, 11, 33 ]
86
[ "46-4=42", "11+33=44", "42+44=86" ]
Current State: 86:[46, 4, 11, 33], Operations: [] Exploring Operation: 46-4=42, Resulting Numbers: [11, 33, 42] Generated Node #2: [11, 33, 42] from Operation: 46-4=42 Current State: 86:[11, 33, 42], Operations: ['46-4=42'] Exploring Operation: 11+33=44, Resulting Numbers: [42, 44] Generated Node #3: [42, 44] from Operation: 11+33=44 Current State: 86:[42, 44], Operations: ['46-4=42', '11+33=44'] Exploring Operation: 42+44=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 22, 54, 60, 70 ]
10
[ "22+54=76", "76-70=6", "60/6=10" ]
Current State: 10:[22, 54, 60, 70], Operations: [] Exploring Operation: 22+54=76, Resulting Numbers: [60, 70, 76] Generated Node #2: [60, 70, 76] from Operation: 22+54=76 Current State: 10:[60, 70, 76], Operations: ['22+54=76'] Exploring Operation: 76-70=6, Resulting Numbers: [60, 6] Generated Node #3: [60, 6] from Operation: 76-70=6 Current State: 10:[60, 6], Operations: ['22+54=76', '76-70=6'] Exploring Operation: 60/6=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 20, 11, 14, 23 ]
19
[ "23-20=3", "11*3=33", "33-14=19" ]
Current State: 19:[20, 11, 14, 23], Operations: [] Exploring Operation: 23-20=3, Resulting Numbers: [11, 14, 3] Generated Node #2: [11, 14, 3] from Operation: 23-20=3 Current State: 19:[11, 14, 3], Operations: ['23-20=3'] Exploring Operation: 11*3=33, Resulting Numbers: [14, 33] Generated Node #3: [14, 33] from Operation: 11*3=33 Current State: 19:[14, 33], Operations: ['23-20=3', '11*3=33'] Exploring Operation: 33-14=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 62, 94, 80, 96 ]
98
[ "96-94=2", "80*2=160", "160-62=98" ]
Current State: 98:[62, 94, 80, 96], Operations: [] Exploring Operation: 96-94=2, Resulting Numbers: [62, 80, 2] Generated Node #2: [62, 80, 2] from Operation: 96-94=2 Current State: 98:[62, 80, 2], Operations: ['96-94=2'] Exploring Operation: 80*2=160, Resulting Numbers: [62, 160] Generated Node #3: [62, 160] from Operation: 80*2=160 Current State: 98:[62, 160], Operations: ['96-94=2', '80*2=160'] Exploring Operation: 160-62=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 90, 33, 17, 69 ]
29
[ "90-33=57", "17+69=86", "86-57=29" ]
Current State: 29:[90, 33, 17, 69], Operations: [] Exploring Operation: 90-33=57, Resulting Numbers: [17, 69, 57] Generated Node #2: [17, 69, 57] from Operation: 90-33=57 Current State: 29:[17, 69, 57], Operations: ['90-33=57'] Exploring Operation: 17+69=86, Resulting Numbers: [57, 86] Generated Node #3: [57, 86] from Operation: 17+69=86 Current State: 29:[57, 86], Operations: ['90-33=57', '17+69=86'] Exploring Operation: 86-57=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 25, 15, 51, 4 ]
44
[ "25+15=40", "51-40=11", "4*11=44" ]
Current State: 44:[25, 15, 51, 4], Operations: [] Exploring Operation: 25+15=40, Resulting Numbers: [51, 4, 40] Generated Node #2: [51, 4, 40] from Operation: 25+15=40 Current State: 44:[51, 4, 40], Operations: ['25+15=40'] Exploring Operation: 51-40=11, Resulting Numbers: [4, 11] Generated Node #3: [4, 11] from Operation: 51-40=11 Current State: 44:[4, 11], Operations: ['25+15=40', '51-40=11'] Exploring Operation: 4*11=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 2, 96, 19, 17 ]
92
[ "96-2=94", "19-17=2", "94-2=92" ]
Current State: 92:[2, 96, 19, 17], Operations: [] Exploring Operation: 96-2=94, Resulting Numbers: [19, 17, 94] Generated Node #2: [19, 17, 94] from Operation: 96-2=94 Current State: 92:[19, 17, 94], Operations: ['96-2=94'] Exploring Operation: 19-17=2, Resulting Numbers: [94, 2] Generated Node #3: [94, 2] from Operation: 19-17=2 Current State: 92:[94, 2], Operations: ['96-2=94', '19-17=2'] Exploring Operation: 94-2=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 37, 34, 89, 22 ]
37
[ "37-34=3", "89+22=111", "111/3=37" ]
Current State: 37:[37, 34, 89, 22], Operations: [] Exploring Operation: 37-34=3, Resulting Numbers: [89, 22, 3] Generated Node #2: [89, 22, 3] from Operation: 37-34=3 Current State: 37:[89, 22, 3], Operations: ['37-34=3'] Exploring Operation: 89+22=111, Resulting Numbers: [3, 111] Generated Node #3: [3, 111] from Operation: 89+22=111 Current State: 37:[3, 111], Operations: ['37-34=3', '89+22=111'] Exploring Operation: 111/3=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 27, 24, 37, 91 ]
22
[ "91-37=54", "54/27=2", "24-2=22" ]
Current State: 22:[27, 24, 37, 91], Operations: [] Exploring Operation: 91-37=54, Resulting Numbers: [27, 24, 54] Generated Node #2: [27, 24, 54] from Operation: 91-37=54 Current State: 22:[27, 24, 54], Operations: ['91-37=54'] Exploring Operation: 54/27=2, Resulting Numbers: [24, 2] Generated Node #3: [24, 2] from Operation: 54/27=2 Current State: 22:[24, 2], Operations: ['91-37=54', '54/27=2'] Exploring Operation: 24-2=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 56, 60, 30, 5 ]
29
[ "60-56=4", "30-5=25", "4+25=29" ]
Current State: 29:[56, 60, 30, 5], Operations: [] Exploring Operation: 60-56=4, Resulting Numbers: [30, 5, 4] Generated Node #2: [30, 5, 4] from Operation: 60-56=4 Current State: 29:[30, 5, 4], Operations: ['60-56=4'] Exploring Operation: 30-5=25, Resulting Numbers: [4, 25] Generated Node #3: [4, 25] from Operation: 30-5=25 Current State: 29:[4, 25], Operations: ['60-56=4', '30-5=25'] Exploring Operation: 4+25=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 26, 8, 95, 4 ]
81
[ "26-8=18", "95+4=99", "99-18=81" ]
Current State: 81:[26, 8, 95, 4], Operations: [] Exploring Operation: 26-8=18, Resulting Numbers: [95, 4, 18] Generated Node #2: [95, 4, 18] from Operation: 26-8=18 Current State: 81:[95, 4, 18], Operations: ['26-8=18'] Exploring Operation: 95+4=99, Resulting Numbers: [18, 99] Generated Node #3: [18, 99] from Operation: 95+4=99 Current State: 81:[18, 99], Operations: ['26-8=18', '95+4=99'] Exploring Operation: 99-18=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 55, 97, 11, 91 ]
72
[ "55+97=152", "91-11=80", "152-80=72" ]
Current State: 72:[55, 97, 11, 91], Operations: [] Exploring Operation: 55+97=152, Resulting Numbers: [11, 91, 152] Generated Node #2: [11, 91, 152] from Operation: 55+97=152 Current State: 72:[11, 91, 152], Operations: ['55+97=152'] Exploring Operation: 91-11=80, Resulting Numbers: [152, 80] Generated Node #3: [152, 80] from Operation: 91-11=80 Current State: 72:[152, 80], Operations: ['55+97=152', '91-11=80'] Exploring Operation: 152-80=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 84, 88, 83, 21 ]
68
[ "84+88=172", "83+21=104", "172-104=68" ]
Current State: 68:[84, 88, 83, 21], Operations: [] Exploring Operation: 84+88=172, Resulting Numbers: [83, 21, 172] Generated Node #2: [83, 21, 172] from Operation: 84+88=172 Current State: 68:[83, 21, 172], Operations: ['84+88=172'] Exploring Operation: 83+21=104, Resulting Numbers: [172, 104] Generated Node #3: [172, 104] from Operation: 83+21=104 Current State: 68:[172, 104], Operations: ['84+88=172', '83+21=104'] Exploring Operation: 172-104=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 8, 81, 39, 85 ]
71
[ "85-81=4", "8*4=32", "39+32=71" ]
Current State: 71:[8, 81, 39, 85], Operations: [] Exploring Operation: 85-81=4, Resulting Numbers: [8, 39, 4] Generated Node #2: [8, 39, 4] from Operation: 85-81=4 Current State: 71:[8, 39, 4], Operations: ['85-81=4'] Exploring Operation: 8*4=32, Resulting Numbers: [39, 32] Generated Node #3: [39, 32] from Operation: 8*4=32 Current State: 71:[39, 32], Operations: ['85-81=4', '8*4=32'] Exploring Operation: 39+32=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 78, 25, 15, 6 ]
37
[ "78-25=53", "15*6=90", "90-53=37" ]
Current State: 37:[78, 25, 15, 6], Operations: [] Exploring Operation: 78-25=53, Resulting Numbers: [15, 6, 53] Generated Node #2: [15, 6, 53] from Operation: 78-25=53 Current State: 37:[15, 6, 53], Operations: ['78-25=53'] Exploring Operation: 15*6=90, Resulting Numbers: [53, 90] Generated Node #3: [53, 90] from Operation: 15*6=90 Current State: 37:[53, 90], Operations: ['78-25=53', '15*6=90'] Exploring Operation: 90-53=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 15, 49, 16, 92 ]
12
[ "15+49=64", "92-16=76", "76-64=12" ]
Current State: 12:[15, 49, 16, 92], Operations: [] Exploring Operation: 15+49=64, Resulting Numbers: [16, 92, 64] Generated Node #2: [16, 92, 64] from Operation: 15+49=64 Current State: 12:[16, 92, 64], Operations: ['15+49=64'] Exploring Operation: 92-16=76, Resulting Numbers: [64, 76] Generated Node #3: [64, 76] from Operation: 92-16=76 Current State: 12:[64, 76], Operations: ['15+49=64', '92-16=76'] Exploring Operation: 76-64=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 27, 63, 91, 9 ]
89
[ "27*9=243", "63+91=154", "243-154=89" ]
Current State: 89:[27, 63, 91, 9], Operations: [] Exploring Operation: 27*9=243, Resulting Numbers: [63, 91, 243] Generated Node #2: [63, 91, 243] from Operation: 27*9=243 Current State: 89:[63, 91, 243], Operations: ['27*9=243'] Exploring Operation: 63+91=154, Resulting Numbers: [243, 154] Generated Node #3: [243, 154] from Operation: 63+91=154 Current State: 89:[243, 154], Operations: ['27*9=243', '63+91=154'] Exploring Operation: 243-154=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 59, 74, 78, 62 ]
14
[ "59*78=4602", "74*62=4588", "4602-4588=14" ]
Current State: 14:[59, 74, 78, 62], Operations: [] Exploring Operation: 59*78=4602, Resulting Numbers: [74, 62, 4602] Generated Node #2: [74, 62, 4602] from Operation: 59*78=4602 Current State: 14:[74, 62, 4602], Operations: ['59*78=4602'] Exploring Operation: 74*62=4588, Resulting Numbers: [4602, 4588] Generated Node #3: [4602, 4588] from Operation: 74*62=4588 Current State: 14:[4602, 4588], Operations: ['59*78=4602', '74*62=4588'] Exploring Operation: 4602-4588=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 12, 6, 80, 97 ]
57
[ "12/6=2", "80/2=40", "97-40=57" ]
Current State: 57:[12, 6, 80, 97], Operations: [] Exploring Operation: 12/6=2, Resulting Numbers: [80, 97, 2] Generated Node #2: [80, 97, 2] from Operation: 12/6=2 Current State: 57:[80, 97, 2], Operations: ['12/6=2'] Exploring Operation: 80/2=40, Resulting Numbers: [97, 40] Generated Node #3: [97, 40] from Operation: 80/2=40 Current State: 57:[97, 40], Operations: ['12/6=2', '80/2=40'] Exploring Operation: 97-40=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 89, 90, 89, 4 ]
86
[ "89+90=179", "89+4=93", "179-93=86" ]
Current State: 86:[89, 90, 89, 4], Operations: [] Exploring Operation: 89+90=179, Resulting Numbers: [4, 179] Generated Node #2: [4, 179] from Operation: 89+90=179 Current State: 86:[4, 179], Operations: ['89+90=179'] Exploring Operation: 89+4=93, Resulting Numbers: [179, 93] Generated Node #3: [179, 93] from Operation: 89+4=93 Current State: 86:[179, 93], Operations: ['89+90=179', '89+4=93'] Exploring Operation: 179-93=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 48, 38, 14, 83 ]
42
[ "48+38=86", "86-83=3", "14*3=42" ]
Current State: 42:[48, 38, 14, 83], Operations: [] Exploring Operation: 48+38=86, Resulting Numbers: [14, 83, 86] Generated Node #2: [14, 83, 86] from Operation: 48+38=86 Current State: 42:[14, 83, 86], Operations: ['48+38=86'] Exploring Operation: 86-83=3, Resulting Numbers: [14, 3] Generated Node #3: [14, 3] from Operation: 86-83=3 Current State: 42:[14, 3], Operations: ['48+38=86', '86-83=3'] Exploring Operation: 14*3=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 61, 83, 91, 44 ]
89
[ "83-61=22", "44/22=2", "91-2=89" ]
Current State: 89:[61, 83, 91, 44], Operations: [] Exploring Operation: 83-61=22, Resulting Numbers: [91, 44, 22] Generated Node #2: [91, 44, 22] from Operation: 83-61=22 Current State: 89:[91, 44, 22], Operations: ['83-61=22'] Exploring Operation: 44/22=2, Resulting Numbers: [91, 2] Generated Node #3: [91, 2] from Operation: 44/22=2 Current State: 89:[91, 2], Operations: ['83-61=22', '44/22=2'] Exploring Operation: 91-2=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 32, 49, 11, 80 ]
95
[ "49-11=38", "80*38=3040", "3040/32=95" ]
Current State: 95:[32, 49, 11, 80], Operations: [] Exploring Operation: 49-11=38, Resulting Numbers: [32, 80, 38] Generated Node #2: [32, 80, 38] from Operation: 49-11=38 Current State: 95:[32, 80, 38], Operations: ['49-11=38'] Exploring Operation: 80*38=3040, Resulting Numbers: [32, 3040] Generated Node #3: [32, 3040] from Operation: 80*38=3040 Current State: 95:[32, 3040], Operations: ['49-11=38', '80*38=3040'] Exploring Operation: 3040/32=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 16, 6, 45, 73 ]
22
[ "16*6=96", "45+73=118", "118-96=22" ]
Current State: 22:[16, 6, 45, 73], Operations: [] Exploring Operation: 16*6=96, Resulting Numbers: [45, 73, 96] Generated Node #2: [45, 73, 96] from Operation: 16*6=96 Current State: 22:[45, 73, 96], Operations: ['16*6=96'] Exploring Operation: 45+73=118, Resulting Numbers: [96, 118] Generated Node #3: [96, 118] from Operation: 45+73=118 Current State: 22:[96, 118], Operations: ['16*6=96', '45+73=118'] Exploring Operation: 118-96=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 97, 96, 15, 92 ]
77
[ "97-96=1", "92-15=77", "1*77=77" ]
Current State: 77:[97, 96, 15, 92], Operations: [] Exploring Operation: 97-96=1, Resulting Numbers: [15, 92, 1] Generated Node #2: [15, 92, 1] from Operation: 97-96=1 Current State: 77:[15, 92, 1], Operations: ['97-96=1'] Exploring Operation: 92-15=77, Resulting Numbers: [1, 77] Generated Node #3: [1, 77] from Operation: 92-15=77 Current State: 77:[1, 77], Operations: ['97-96=1', '92-15=77'] Exploring Operation: 1*77=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 28, 48, 29, 59 ]
16
[ "28+59=87", "48*29=1392", "1392/87=16" ]
Current State: 16:[28, 48, 29, 59], Operations: [] Exploring Operation: 28+59=87, Resulting Numbers: [48, 29, 87] Generated Node #2: [48, 29, 87] from Operation: 28+59=87 Current State: 16:[48, 29, 87], Operations: ['28+59=87'] Exploring Operation: 48*29=1392, Resulting Numbers: [87, 1392] Generated Node #3: [87, 1392] from Operation: 48*29=1392 Current State: 16:[87, 1392], Operations: ['28+59=87', '48*29=1392'] Exploring Operation: 1392/87=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 5, 97, 64, 76 ]
89
[ "97-64=33", "5*33=165", "165-76=89" ]
Current State: 89:[5, 97, 64, 76], Operations: [] Exploring Operation: 97-64=33, Resulting Numbers: [5, 76, 33] Generated Node #2: [5, 76, 33] from Operation: 97-64=33 Current State: 89:[5, 76, 33], Operations: ['97-64=33'] Exploring Operation: 5*33=165, Resulting Numbers: [76, 165] Generated Node #3: [76, 165] from Operation: 5*33=165 Current State: 89:[76, 165], Operations: ['97-64=33', '5*33=165'] Exploring Operation: 165-76=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 38, 76, 2, 40 ]
44
[ "76/38=2", "2+40=42", "2+42=44" ]
Current State: 44:[38, 76, 2, 40], Operations: [] Exploring Operation: 76/38=2, Resulting Numbers: [2, 40, 2] Generated Node #2: [2, 40, 2] from Operation: 76/38=2 Current State: 44:[2, 40, 2], Operations: ['76/38=2'] Exploring Operation: 2+40=42, Resulting Numbers: [42] 42,44 equal: Goal Reached Exploring Operation: 2+42=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 17, 35, 13, 35 ]
31
[ "17+35=52", "52/13=4", "35-4=31" ]
Current State: 31:[17, 35, 13, 35], Operations: [] Exploring Operation: 17+35=52, Resulting Numbers: [13, 52] Generated Node #2: [13, 52] from Operation: 17+35=52 Current State: 31:[13, 52], Operations: ['17+35=52'] Exploring Operation: 52/13=4, Resulting Numbers: [4] 4,31 equal: Goal Reached Exploring Operation: 35-4=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 31, 3, 58, 94 ]
19
[ "94-58=36", "36/3=12", "31-12=19" ]
Current State: 19:[31, 3, 58, 94], Operations: [] Exploring Operation: 94-58=36, Resulting Numbers: [31, 3, 36] Generated Node #2: [31, 3, 36] from Operation: 94-58=36 Current State: 19:[31, 3, 36], Operations: ['94-58=36'] Exploring Operation: 36/3=12, Resulting Numbers: [31, 12] Generated Node #3: [31, 12] from Operation: 36/3=12 Current State: 19:[31, 12], Operations: ['94-58=36', '36/3=12'] Exploring Operation: 31-12=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 6, 35, 46, 27 ]
48
[ "35-6=29", "46-27=19", "29+19=48" ]
Current State: 48:[6, 35, 46, 27], Operations: [] Exploring Operation: 35-6=29, Resulting Numbers: [46, 27, 29] Generated Node #2: [46, 27, 29] from Operation: 35-6=29 Current State: 48:[46, 27, 29], Operations: ['35-6=29'] Exploring Operation: 46-27=19, Resulting Numbers: [29, 19] Generated Node #3: [29, 19] from Operation: 46-27=19 Current State: 48:[29, 19], Operations: ['35-6=29', '46-27=19'] Exploring Operation: 29+19=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 96, 19, 81, 3 ]
16
[ "19*81=1539", "1539-3=1536", "1536/96=16" ]
Current State: 16:[96, 19, 81, 3], Operations: [] Exploring Operation: 19*81=1539, Resulting Numbers: [96, 3, 1539] Generated Node #2: [96, 3, 1539] from Operation: 19*81=1539 Current State: 16:[96, 3, 1539], Operations: ['19*81=1539'] Exploring Operation: 1539-3=1536, Resulting Numbers: [96, 1536] Generated Node #3: [96, 1536] from Operation: 1539-3=1536 Current State: 16:[96, 1536], Operations: ['19*81=1539', '1539-3=1536'] Exploring Operation: 1536/96=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 81, 59, 59, 25 ]
55
[ "81-25=56", "59/59=1", "56-1=55" ]
Current State: 55:[81, 59, 59, 25], Operations: [] Exploring Operation: 81-25=56, Resulting Numbers: [59, 59, 56] Generated Node #2: [59, 59, 56] from Operation: 81-25=56 Current State: 55:[59, 59, 56], Operations: ['81-25=56'] Exploring Operation: 59/59=1, Resulting Numbers: [56, 1] Generated Node #3: [56, 1] from Operation: 59/59=1 Current State: 55:[56, 1], Operations: ['81-25=56', '59/59=1'] Exploring Operation: 56-1=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 28, 12, 45, 59 ]
56
[ "12+45=57", "59-57=2", "28*2=56" ]
Current State: 56:[28, 12, 45, 59], Operations: [] Exploring Operation: 12+45=57, Resulting Numbers: [28, 59, 57] Generated Node #2: [28, 59, 57] from Operation: 12+45=57 Current State: 56:[28, 59, 57], Operations: ['12+45=57'] Exploring Operation: 59-57=2, Resulting Numbers: [28, 2] Generated Node #3: [28, 2] from Operation: 59-57=2 Current State: 56:[28, 2], Operations: ['12+45=57', '59-57=2'] Exploring Operation: 28*2=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 42, 96, 48, 16 ]
100
[ "42*96=4032", "4032/48=84", "16+84=100" ]
Current State: 100:[42, 96, 48, 16], Operations: [] Exploring Operation: 42*96=4032, Resulting Numbers: [48, 16, 4032] Generated Node #2: [48, 16, 4032] from Operation: 42*96=4032 Current State: 100:[48, 16, 4032], Operations: ['42*96=4032'] Exploring Operation: 4032/48=84, Resulting Numbers: [16, 84] Generated Node #3: [16, 84] from Operation: 4032/48=84 Current State: 100:[16, 84], Operations: ['42*96=4032', '4032/48=84'] Exploring Operation: 16+84=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 3, 5, 36, 86 ]
26
[ "36/3=12", "5*12=60", "86-60=26" ]
Current State: 26:[3, 5, 36, 86], Operations: [] Exploring Operation: 36/3=12, Resulting Numbers: [5, 86, 12] Generated Node #2: [5, 86, 12] from Operation: 36/3=12 Current State: 26:[5, 86, 12], Operations: ['36/3=12'] Exploring Operation: 5*12=60, Resulting Numbers: [86, 60] Generated Node #3: [86, 60] from Operation: 5*12=60 Current State: 26:[86, 60], Operations: ['36/3=12', '5*12=60'] Exploring Operation: 86-60=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 49, 20, 22, 8 ]
59
[ "49-20=29", "22+8=30", "29+30=59" ]
Current State: 59:[49, 20, 22, 8], Operations: [] Exploring Operation: 49-20=29, Resulting Numbers: [22, 8, 29] Generated Node #2: [22, 8, 29] from Operation: 49-20=29 Current State: 59:[22, 8, 29], Operations: ['49-20=29'] Exploring Operation: 22+8=30, Resulting Numbers: [29, 30] Generated Node #3: [29, 30] from Operation: 22+8=30 Current State: 59:[29, 30], Operations: ['49-20=29', '22+8=30'] Exploring Operation: 29+30=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 34, 47, 84, 26 ]
23
[ "34+47=81", "84-26=58", "81-58=23" ]
Current State: 23:[34, 47, 84, 26], Operations: [] Exploring Operation: 34+47=81, Resulting Numbers: [84, 26, 81] Generated Node #2: [84, 26, 81] from Operation: 34+47=81 Current State: 23:[84, 26, 81], Operations: ['34+47=81'] Exploring Operation: 84-26=58, Resulting Numbers: [81, 58] Generated Node #3: [81, 58] from Operation: 84-26=58 Current State: 23:[81, 58], Operations: ['34+47=81', '84-26=58'] Exploring Operation: 81-58=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 87, 73, 81, 12 ]
58
[ "81-73=8", "87*8=696", "696/12=58" ]
Current State: 58:[87, 73, 81, 12], Operations: [] Exploring Operation: 81-73=8, Resulting Numbers: [87, 12, 8] Generated Node #2: [87, 12, 8] from Operation: 81-73=8 Current State: 58:[87, 12, 8], Operations: ['81-73=8'] Exploring Operation: 87*8=696, Resulting Numbers: [12, 696] Generated Node #3: [12, 696] from Operation: 87*8=696 Current State: 58:[12, 696], Operations: ['81-73=8', '87*8=696'] Exploring Operation: 696/12=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 16, 23, 54, 40 ]
98
[ "23-16=7", "54-40=14", "7*14=98" ]
Current State: 98:[16, 23, 54, 40], Operations: [] Exploring Operation: 23-16=7, Resulting Numbers: [54, 40, 7] Generated Node #2: [54, 40, 7] from Operation: 23-16=7 Current State: 98:[54, 40, 7], Operations: ['23-16=7'] Exploring Operation: 54-40=14, Resulting Numbers: [7, 14] Generated Node #3: [7, 14] from Operation: 54-40=14 Current State: 98:[7, 14], Operations: ['23-16=7', '54-40=14'] Exploring Operation: 7*14=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 8, 63, 31, 56 ]
16
[ "8+63=71", "31+56=87", "87-71=16" ]
Current State: 16:[8, 63, 31, 56], Operations: [] Exploring Operation: 8+63=71, Resulting Numbers: [31, 56, 71] Generated Node #2: [31, 56, 71] from Operation: 8+63=71 Current State: 16:[31, 56, 71], Operations: ['8+63=71'] Exploring Operation: 31+56=87, Resulting Numbers: [71, 87] Generated Node #3: [71, 87] from Operation: 31+56=87 Current State: 16:[71, 87], Operations: ['8+63=71', '31+56=87'] Exploring Operation: 87-71=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 58, 27, 19, 16 ]
88
[ "58+27=85", "19-16=3", "85+3=88" ]
Current State: 88:[58, 27, 19, 16], Operations: [] Exploring Operation: 58+27=85, Resulting Numbers: [19, 16, 85] Generated Node #2: [19, 16, 85] from Operation: 58+27=85 Current State: 88:[19, 16, 85], Operations: ['58+27=85'] Exploring Operation: 19-16=3, Resulting Numbers: [85, 3] Generated Node #3: [85, 3] from Operation: 19-16=3 Current State: 88:[85, 3], Operations: ['58+27=85', '19-16=3'] Exploring Operation: 85+3=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 25, 47, 99, 16 ]
53
[ "25*99=2475", "16+2475=2491", "2491/47=53" ]
Current State: 53:[25, 47, 99, 16], Operations: [] Exploring Operation: 25*99=2475, Resulting Numbers: [47, 16, 2475] Generated Node #2: [47, 16, 2475] from Operation: 25*99=2475 Current State: 53:[47, 16, 2475], Operations: ['25*99=2475'] Exploring Operation: 16+2475=2491, Resulting Numbers: [47, 2491] Generated Node #3: [47, 2491] from Operation: 16+2475=2491 Current State: 53:[47, 2491], Operations: ['25*99=2475', '16+2475=2491'] Exploring Operation: 2491/47=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 72, 72, 6, 34 ]
94
[ "72/6=12", "72+34=106", "106-12=94" ]
Current State: 94:[72, 72, 6, 34], Operations: [] Exploring Operation: 72/6=12, Resulting Numbers: [34, 12] Generated Node #2: [34, 12] from Operation: 72/6=12 Current State: 94:[34, 12], Operations: ['72/6=12'] Exploring Operation: 72+34=106, Resulting Numbers: [12, 106] Generated Node #3: [12, 106] from Operation: 72+34=106 Current State: 94:[12, 106], Operations: ['72/6=12', '72+34=106'] Exploring Operation: 106-12=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 49, 6, 76, 49 ]
28
[ "49+6=55", "76-49=27", "55-27=28" ]
Current State: 28:[49, 6, 76, 49], Operations: [] Exploring Operation: 49+6=55, Resulting Numbers: [76, 55] Generated Node #2: [76, 55] from Operation: 49+6=55 Current State: 28:[76, 55], Operations: ['49+6=55'] Exploring Operation: 76-49=27, Resulting Numbers: [55, 27] Generated Node #3: [55, 27] from Operation: 76-49=27 Current State: 28:[55, 27], Operations: ['49+6=55', '76-49=27'] Exploring Operation: 55-27=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 5, 53, 39, 71 ]
71
[ "5*39=195", "53+71=124", "195-124=71" ]
Current State: 71:[5, 53, 39, 71], Operations: [] Exploring Operation: 5*39=195, Resulting Numbers: [53, 71, 195] Generated Node #2: [53, 71, 195] from Operation: 5*39=195 Current State: 71:[53, 71, 195], Operations: ['5*39=195'] Exploring Operation: 53+71=124, Resulting Numbers: [195, 124] Generated Node #3: [195, 124] from Operation: 53+71=124 Current State: 71:[195, 124], Operations: ['5*39=195', '53+71=124'] Exploring Operation: 195-124=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 65, 23, 61, 51 ]
78
[ "65+23=88", "61-51=10", "88-10=78" ]
Current State: 78:[65, 23, 61, 51], Operations: [] Exploring Operation: 65+23=88, Resulting Numbers: [61, 51, 88] Generated Node #2: [61, 51, 88] from Operation: 65+23=88 Current State: 78:[61, 51, 88], Operations: ['65+23=88'] Exploring Operation: 61-51=10, Resulting Numbers: [88, 10] Generated Node #3: [88, 10] from Operation: 61-51=10 Current State: 78:[88, 10], Operations: ['65+23=88', '61-51=10'] Exploring Operation: 88-10=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 92, 60, 26, 43 ]
80
[ "92*60=5520", "26+43=69", "5520/69=80" ]
Current State: 80:[92, 60, 26, 43], Operations: [] Exploring Operation: 92*60=5520, Resulting Numbers: [26, 43, 5520] Generated Node #2: [26, 43, 5520] from Operation: 92*60=5520 Current State: 80:[26, 43, 5520], Operations: ['92*60=5520'] Exploring Operation: 26+43=69, Resulting Numbers: [5520, 69] Generated Node #3: [5520, 69] from Operation: 26+43=69 Current State: 80:[5520, 69], Operations: ['92*60=5520', '26+43=69'] Exploring Operation: 5520/69=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 63, 40, 2, 48 ]
95
[ "63-48=15", "40*2=80", "15+80=95" ]
Current State: 95:[63, 40, 2, 48], Operations: [] Exploring Operation: 63-48=15, Resulting Numbers: [40, 2, 15] Generated Node #2: [40, 2, 15] from Operation: 63-48=15 Current State: 95:[40, 2, 15], Operations: ['63-48=15'] Exploring Operation: 40*2=80, Resulting Numbers: [15, 80] Generated Node #3: [15, 80] from Operation: 40*2=80 Current State: 95:[15, 80], Operations: ['63-48=15', '40*2=80'] Exploring Operation: 15+80=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 89, 8, 47, 71 ]
27
[ "89+71=160", "160/8=20", "47-20=27" ]
Current State: 27:[89, 8, 47, 71], Operations: [] Exploring Operation: 89+71=160, Resulting Numbers: [8, 47, 160] Generated Node #2: [8, 47, 160] from Operation: 89+71=160 Current State: 27:[8, 47, 160], Operations: ['89+71=160'] Exploring Operation: 160/8=20, Resulting Numbers: [47, 20] Generated Node #3: [47, 20] from Operation: 160/8=20 Current State: 27:[47, 20], Operations: ['89+71=160', '160/8=20'] Exploring Operation: 47-20=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 13, 44, 71, 16 ]
93
[ "13*16=208", "44+71=115", "208-115=93" ]
Current State: 93:[13, 44, 71, 16], Operations: [] Exploring Operation: 13*16=208, Resulting Numbers: [44, 71, 208] Generated Node #2: [44, 71, 208] from Operation: 13*16=208 Current State: 93:[44, 71, 208], Operations: ['13*16=208'] Exploring Operation: 44+71=115, Resulting Numbers: [208, 115] Generated Node #3: [208, 115] from Operation: 44+71=115 Current State: 93:[208, 115], Operations: ['13*16=208', '44+71=115'] Exploring Operation: 208-115=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 3, 85, 28, 88 ]
22
[ "85-3=82", "88-28=60", "82-60=22" ]
Current State: 22:[3, 85, 28, 88], Operations: [] Exploring Operation: 85-3=82, Resulting Numbers: [28, 88, 82] Generated Node #2: [28, 88, 82] from Operation: 85-3=82 Current State: 22:[28, 88, 82], Operations: ['85-3=82'] Exploring Operation: 88-28=60, Resulting Numbers: [82, 60] Generated Node #3: [82, 60] from Operation: 88-28=60 Current State: 22:[82, 60], Operations: ['85-3=82', '88-28=60'] Exploring Operation: 82-60=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 32, 85, 23, 66 ]
36
[ "85-32=53", "23+66=89", "89-53=36" ]
Current State: 36:[32, 85, 23, 66], Operations: [] Exploring Operation: 85-32=53, Resulting Numbers: [23, 66, 53] Generated Node #2: [23, 66, 53] from Operation: 85-32=53 Current State: 36:[23, 66, 53], Operations: ['85-32=53'] Exploring Operation: 23+66=89, Resulting Numbers: [53, 89] Generated Node #3: [53, 89] from Operation: 23+66=89 Current State: 36:[53, 89], Operations: ['85-32=53', '23+66=89'] Exploring Operation: 89-53=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 84, 13, 30, 15 ]
24
[ "15-13=2", "30*2=60", "84-60=24" ]
Current State: 24:[84, 13, 30, 15], Operations: [] Exploring Operation: 15-13=2, Resulting Numbers: [84, 30, 2] Generated Node #2: [84, 30, 2] from Operation: 15-13=2 Current State: 24:[84, 30, 2], Operations: ['15-13=2'] Exploring Operation: 30*2=60, Resulting Numbers: [84, 60] Generated Node #3: [84, 60] from Operation: 30*2=60 Current State: 24:[84, 60], Operations: ['15-13=2', '30*2=60'] Exploring Operation: 84-60=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 75, 1, 77, 67 ]
66
[ "75+1=76", "77-67=10", "76-10=66" ]
Current State: 66:[75, 1, 77, 67], Operations: [] Exploring Operation: 75+1=76, Resulting Numbers: [77, 67, 76] Generated Node #2: [77, 67, 76] from Operation: 75+1=76 Current State: 66:[77, 67, 76], Operations: ['75+1=76'] Exploring Operation: 77-67=10, Resulting Numbers: [76, 10] Generated Node #3: [76, 10] from Operation: 77-67=10 Current State: 66:[76, 10], Operations: ['75+1=76', '77-67=10'] Exploring Operation: 76-10=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 78, 81, 29, 95 ]
69
[ "81-78=3", "95-29=66", "3+66=69" ]
Current State: 69:[78, 81, 29, 95], Operations: [] Exploring Operation: 81-78=3, Resulting Numbers: [29, 95, 3] Generated Node #2: [29, 95, 3] from Operation: 81-78=3 Current State: 69:[29, 95, 3], Operations: ['81-78=3'] Exploring Operation: 95-29=66, Resulting Numbers: [3, 66] Generated Node #3: [3, 66] from Operation: 95-29=66 Current State: 69:[3, 66], Operations: ['81-78=3', '95-29=66'] Exploring Operation: 3+66=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 96, 22, 12, 6 ]
59
[ "96+22=118", "12/6=2", "118/2=59" ]
Current State: 59:[96, 22, 12, 6], Operations: [] Exploring Operation: 96+22=118, Resulting Numbers: [12, 6, 118] Generated Node #2: [12, 6, 118] from Operation: 96+22=118 Current State: 59:[12, 6, 118], Operations: ['96+22=118'] Exploring Operation: 12/6=2, Resulting Numbers: [118, 2] Generated Node #3: [118, 2] from Operation: 12/6=2 Current State: 59:[118, 2], Operations: ['96+22=118', '12/6=2'] Exploring Operation: 118/2=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 12, 1, 83, 53 ]
42
[ "12*1=12", "83-53=30", "12+30=42" ]
Current State: 42:[12, 1, 83, 53], Operations: [] Exploring Operation: 12*1=12, Resulting Numbers: [83, 53, 12] Generated Node #2: [83, 53, 12] from Operation: 12*1=12 Current State: 42:[83, 53, 12], Operations: ['12*1=12'] Exploring Operation: 83-53=30, Resulting Numbers: [12, 30] Generated Node #3: [12, 30] from Operation: 83-53=30 Current State: 42:[12, 30], Operations: ['12*1=12', '83-53=30'] Exploring Operation: 12+30=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 44, 91, 18, 14 ]
73
[ "91*18=1638", "1638/14=117", "117-44=73" ]
Current State: 73:[44, 91, 18, 14], Operations: [] Exploring Operation: 91*18=1638, Resulting Numbers: [44, 14, 1638] Generated Node #2: [44, 14, 1638] from Operation: 91*18=1638 Current State: 73:[44, 14, 1638], Operations: ['91*18=1638'] Exploring Operation: 1638/14=117, Resulting Numbers: [44, 117] Generated Node #3: [44, 117] from Operation: 1638/14=117 Current State: 73:[44, 117], Operations: ['91*18=1638', '1638/14=117'] Exploring Operation: 117-44=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 34, 6, 35, 3 ]
72
[ "34+6=40", "35-3=32", "40+32=72" ]
Current State: 72:[34, 6, 35, 3], Operations: [] Exploring Operation: 34+6=40, Resulting Numbers: [35, 3, 40] Generated Node #2: [35, 3, 40] from Operation: 34+6=40 Current State: 72:[35, 3, 40], Operations: ['34+6=40'] Exploring Operation: 35-3=32, Resulting Numbers: [40, 32] Generated Node #3: [40, 32] from Operation: 35-3=32 Current State: 72:[40, 32], Operations: ['34+6=40', '35-3=32'] Exploring Operation: 40+32=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4