nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 | search_path stringlengths 505 16.8k | rating float64 0 0.99 | search_type stringclasses 5 values | heuristic stringclasses 2 values |
|---|---|---|---|---|---|---|---|---|
[
25,
69,
65,
76
] | 97 | [
"69-25=44",
"65+76=141",
"141-44=97"
] | Current State: 97:[25, 69, 65, 76], Operations: []
Exploring Operation: 69-25=44, Resulting Numbers: [65, 76, 44]
Generated Node #2: [65, 76, 44] from Operation: 69-25=44
Current State: 97:[65, 76, 44], Operations: ['69-25=44']
Exploring Operation: 65+76=141, Resulting Numbers: [44, 141]
Generated Node #3: [44, 141] from Operation: 65+76=141
Current State: 97:[44, 141], Operations: ['69-25=44', '65+76=141']
Exploring Operation: 141-44=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[25, 69, 65, 76], Operations: []
Exploring Operation: 25+76=101, Resulting Numbers: [69, 65, 101]
Generated Node #0,0: 97:[69, 65, 101] Operation: 25+76=101
Exploring Operation: 25+65=90, Resulting Numbers: [69, 76, 90]
Generated Node #0,1: 97:[69, 76, 90] Operation: 25+65=90
Exploring Operation: 25+69=94, Resulting Numbers: [65, 76, 94]
Generated Node #0,2: 97:[65, 76, 94] Operation: 25+69=94
Exploring Operation: 69-25=44, Resulting Numbers: [65, 76, 44]
Generated Node #0,3: 97:[65, 76, 44] Operation: 69-25=44
Start Sub Search at level 1: Moving to Node #0,1
Current State: 97:[69, 76, 90], Operations: ['25+65=90']
Exploring Operation: 90-69=21, Resulting Numbers: [76, 21]
Generated Node #0,1,0: 97:[76, 21] Operation: 90-69=21
Exploring Operation: 76-69=7, Resulting Numbers: [90, 7]
Generated Node #0,1,1: 97:[90, 7] Operation: 76-69=7
Exploring Operation: 69+76=145, Resulting Numbers: [90, 145]
Generated Node #0,1,2: 97:[90, 145] Operation: 69+76=145
Exploring Operation: 69+90=159, Resulting Numbers: [76, 159]
Generated Node #0,1,3: 97:[76, 159] Operation: 69+90=159
Moving to Node #0,1,2
Current State: 97:[90, 145], Operations: ['25+65=90', '69+76=145']
Exploring Operation: 145-90=55, Resulting Numbers: [55]
55,97 unequal: No Solution
Exploring Operation: 90+145=235, Resulting Numbers: [235]
235,97 unequal: No Solution
Exploring Operation: 90*145=13050, Resulting Numbers: [13050]
13050,97 unequal: No Solution
Moving to Node #0,1,3
Current State: 97:[76, 159], Operations: ['25+65=90', '69+90=159']
Exploring Operation: 159-76=83, Resulting Numbers: [83]
83,97 unequal: No Solution
Exploring Operation: 76*159=12084, Resulting Numbers: [12084]
12084,97 unequal: No Solution
Exploring Operation: 76+159=235, Resulting Numbers: [235]
235,97 unequal: No Solution
Moving to Node #0,1,1
Current State: 97:[90, 7], Operations: ['25+65=90', '76-69=7']
Exploring Operation: 90-7=83, Resulting Numbers: [83]
83,97 unequal: No Solution
Exploring Operation: 90+7=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Moving to Node #0
Current State: 97:[25, 69, 65, 76], Operations: []
Exploring Operation: 25+65=90, Resulting Numbers: [69, 76, 90]
Generated Node #0,1: 97:[69, 76, 90] Operation: 25+65=90
Moving to Node #0,1
Current State: 97:[69, 76, 90], Operations: ['25+65=90']
Exploring Operation: 76-69=7, Resulting Numbers: [90, 7]
Generated Node #0,1,1: 97:[90, 7] Operation: 76-69=7
Moving to Node #0,1,1
Current State: 97:[90, 7], Operations: ['25+65=90', '76-69=7']
Exploring Operation: 90+7=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 | hs_4 | mult_heuristic |
[
66,
65,
72,
22
] | 37 | [
"66+65=131",
"72+22=94",
"131-94=37"
] | Current State: 37:[66, 65, 72, 22], Operations: []
Exploring Operation: 66+65=131, Resulting Numbers: [72, 22, 131]
Generated Node #2: [72, 22, 131] from Operation: 66+65=131
Current State: 37:[72, 22, 131], Operations: ['66+65=131']
Exploring Operation: 72+22=94, Resulting Numbers: [131, 94]
Generated Node #3: [131, 94] from Operation: 72+22=94
Current State: 37:[131, 94], Operations: ['66+65=131', '72+22=94']
Exploring Operation: 131-94=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[66, 65, 72, 22], Operations: []
Exploring Operation: 66-22=44, Resulting Numbers: [65, 72, 44]
Generated Node #0,0: 37:[65, 72, 44] Operation: 66-22=44
Exploring Operation: 65-22=43, Resulting Numbers: [66, 72, 43]
Generated Node #0,1: 37:[66, 72, 43] Operation: 65-22=43
Start Sub Search at level 1: Moving to Node #0,0
Current State: 37:[65, 72, 44], Operations: ['66-22=44']
Exploring Operation: 72-65=7, Resulting Numbers: [44, 7]
Generated Node #0,0,0: 37:[44, 7] Operation: 72-65=7
Exploring Operation: 72-44=28, Resulting Numbers: [65, 28]
Generated Node #0,0,1: 37:[65, 28] Operation: 72-44=28
Moving to Node #0,0,0
Current State: 37:[44, 7], Operations: ['66-22=44', '72-65=7']
Exploring Operation: 44-7=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Moving to Node #0
Current State: 37:[66, 65, 72, 22], Operations: []
Exploring Operation: 66-22=44, Resulting Numbers: [65, 72, 44]
Generated Node #0,0: 37:[65, 72, 44] Operation: 66-22=44
Moving to Node #0,0
Current State: 37:[65, 72, 44], Operations: ['66-22=44']
Exploring Operation: 72-65=7, Resulting Numbers: [44, 7]
Generated Node #0,0,0: 37:[44, 7] Operation: 72-65=7
Moving to Node #0,0,0
Current State: 37:[44, 7], Operations: ['66-22=44', '72-65=7']
Exploring Operation: 44-7=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
46,
88,
32,
93
] | 73 | [
"46+88=134",
"93-32=61",
"134-61=73"
] | Current State: 73:[46, 88, 32, 93], Operations: []
Exploring Operation: 46+88=134, Resulting Numbers: [32, 93, 134]
Generated Node #2: [32, 93, 134] from Operation: 46+88=134
Current State: 73:[32, 93, 134], Operations: ['46+88=134']
Exploring Operation: 93-32=61, Resulting Numbers: [134, 61]
Generated Node #3: [134, 61] from Operation: 93-32=61
Current State: 73:[134, 61], Operations: ['46+88=134', '93-32=61']
Exploring Operation: 134-61=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[46, 88, 32, 93], Operations: []
Exploring Operation: 46+32=78, Resulting Numbers: [88, 93, 78]
Generated Node #0,0: 73:[88, 93, 78] Operation: 46+32=78
Exploring Operation: 93-32=61, Resulting Numbers: [46, 88, 61]
Generated Node #0,1: 73:[46, 88, 61] Operation: 93-32=61
Moving to Node #0,0
Current State: 73:[88, 93, 78], Operations: ['46+32=78']
Exploring Operation: 93-78=15, Resulting Numbers: [88, 15]
Generated Node #0,0,0: 73:[88, 15] Operation: 93-78=15
Exploring Operation: 93-88=5, Resulting Numbers: [78, 5]
Generated Node #0,0,1: 73:[78, 5] Operation: 93-88=5
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 73:[88, 15], Operations: ['46+32=78', '93-78=15']
Exploring Operation: 88-15=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Moving to Node #0
Current State: 73:[46, 88, 32, 93], Operations: []
Exploring Operation: 46+32=78, Resulting Numbers: [88, 93, 78]
Generated Node #0,0: 73:[88, 93, 78] Operation: 46+32=78
Moving to Node #0,0
Current State: 73:[88, 93, 78], Operations: ['46+32=78']
Exploring Operation: 93-78=15, Resulting Numbers: [88, 15]
Generated Node #0,0,0: 73:[88, 15] Operation: 93-78=15
Moving to Node #0,0,0
Current State: 73:[88, 15], Operations: ['46+32=78', '93-78=15']
Exploring Operation: 88-15=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
37,
87,
16,
43
] | 97 | [
"37+87=124",
"43-16=27",
"124-27=97"
] | Current State: 97:[37, 87, 16, 43], Operations: []
Exploring Operation: 37+87=124, Resulting Numbers: [16, 43, 124]
Generated Node #2: [16, 43, 124] from Operation: 37+87=124
Current State: 97:[16, 43, 124], Operations: ['37+87=124']
Exploring Operation: 43-16=27, Resulting Numbers: [124, 27]
Generated Node #3: [124, 27] from Operation: 43-16=27
Current State: 97:[124, 27], Operations: ['37+87=124', '43-16=27']
Exploring Operation: 124-27=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[37, 87, 16, 43], Operations: []
Exploring Operation: 37+16=53, Resulting Numbers: [87, 43, 53]
Generated Node #0,0: 97:[87, 43, 53] Operation: 37+16=53
Exploring Operation: 16+43=59, Resulting Numbers: [37, 87, 59]
Generated Node #0,1: 97:[37, 87, 59] Operation: 16+43=59
Exploring Operation: 37+43=80, Resulting Numbers: [87, 16, 80]
Generated Node #0,2: 97:[87, 16, 80] Operation: 37+43=80
Exploring Operation: 87+16=103, Resulting Numbers: [37, 43, 103]
Generated Node #0,3: 97:[37, 43, 103] Operation: 87+16=103
Exploring Operation: 37-16=21, Resulting Numbers: [87, 43, 21]
Generated Node #0,4: 97:[87, 43, 21] Operation: 37-16=21
Moving to Node #0,0
Current State: 97:[87, 43, 53], Operations: ['37+16=53']
Exploring Operation: 87+43=130, Resulting Numbers: [53, 130]
Generated Node #0,0,0: 97:[53, 130] Operation: 87+43=130
Exploring Operation: 87+53=140, Resulting Numbers: [43, 140]
Generated Node #0,0,1: 97:[43, 140] Operation: 87+53=140
Exploring Operation: 43+53=96, Resulting Numbers: [87, 96]
Generated Node #0,0,2: 97:[87, 96] Operation: 43+53=96
Exploring Operation: 87-43=44, Resulting Numbers: [53, 44]
Generated Node #0,0,3: 97:[53, 44] Operation: 87-43=44
Exploring Operation: 53-43=10, Resulting Numbers: [87, 10]
Generated Node #0,0,4: 97:[87, 10] Operation: 53-43=10
Moving to Node #0,2
Current State: 97:[87, 16, 80], Operations: ['37+43=80']
Exploring Operation: 87-16=71, Resulting Numbers: [80, 71]
Generated Node #0,2,0: 97:[80, 71] Operation: 87-16=71
Exploring Operation: 16+80=96, Resulting Numbers: [87, 96]
Generated Node #0,2,1: 97:[87, 96] Operation: 16+80=96
Exploring Operation: 80-16=64, Resulting Numbers: [87, 64]
Generated Node #0,2,2: 97:[87, 64] Operation: 80-16=64
Exploring Operation: 87+16=103, Resulting Numbers: [80, 103]
Generated Node #0,2,3: 97:[80, 103] Operation: 87+16=103
Exploring Operation: 80/16=5, Resulting Numbers: [87, 5]
Generated Node #0,2,4: 97:[87, 5] Operation: 80/16=5
Moving to Node #0,1
Current State: 97:[37, 87, 59], Operations: ['16+43=59']
Exploring Operation: 37+87=124, Resulting Numbers: [59, 124]
Generated Node #0,1,0: 97:[59, 124] Operation: 37+87=124
Exploring Operation: 59-37=22, Resulting Numbers: [87, 22]
Generated Node #0,1,1: 97:[87, 22] Operation: 59-37=22
Exploring Operation: 87+59=146, Resulting Numbers: [37, 146]
Generated Node #0,1,2: 97:[37, 146] Operation: 87+59=146
Exploring Operation: 37+59=96, Resulting Numbers: [87, 96]
Generated Node #0,1,3: 97:[87, 96] Operation: 37+59=96
Exploring Operation: 87-37=50, Resulting Numbers: [59, 50]
Generated Node #0,1,4: 97:[59, 50] Operation: 87-37=50
Moving to Node #0,3
Current State: 97:[37, 43, 103], Operations: ['87+16=103']
Exploring Operation: 43-37=6, Resulting Numbers: [103, 6]
Generated Node #0,3,0: 97:[103, 6] Operation: 43-37=6
Exploring Operation: 37+43=80, Resulting Numbers: [103, 80]
Generated Node #0,3,1: 97:[103, 80] Operation: 37+43=80
Exploring Operation: 103-37=66, Resulting Numbers: [43, 66]
Generated Node #0,3,2: 97:[43, 66] Operation: 103-37=66
Exploring Operation: 37+103=140, Resulting Numbers: [43, 140]
Generated Node #0,3,3: 97:[43, 140] Operation: 37+103=140
Exploring Operation: 103-43=60, Resulting Numbers: [37, 60]
Generated Node #0,3,4: 97:[37, 60] Operation: 103-43=60
Moving to Node #0,4
Current State: 97:[87, 43, 21], Operations: ['37-16=21']
Exploring Operation: 43+21=64, Resulting Numbers: [87, 64]
Generated Node #0,4,0: 97:[87, 64] Operation: 43+21=64
Exploring Operation: 43-21=22, Resulting Numbers: [87, 22]
Generated Node #0,4,1: 97:[87, 22] Operation: 43-21=22
Exploring Operation: 87-21=66, Resulting Numbers: [43, 66]
Generated Node #0,4,2: 97:[43, 66] Operation: 87-21=66
Exploring Operation: 87+21=108, Resulting Numbers: [43, 108]
Generated Node #0,4,3: 97:[43, 108] Operation: 87+21=108
Exploring Operation: 87+43=130, Resulting Numbers: [21, 130]
Generated Node #0,4,4: 97:[21, 130] Operation: 87+43=130
Moving to Node #0,0,2
Current State: 97:[87, 96], Operations: ['37+16=53', '43+53=96']
Exploring Operation: 96-87=9, Resulting Numbers: [9]
9,97 unequal: No Solution
Exploring Operation: 87+96=183, Resulting Numbers: [183]
183,97 unequal: No Solution
Exploring Operation: 87*96=8352, Resulting Numbers: [8352]
8352,97 unequal: No Solution
Moving to Node #0,2,1
Current State: 97:[87, 96], Operations: ['37+43=80', '16+80=96']
Exploring Operation: 87+96=183, Resulting Numbers: [183]
183,97 unequal: No Solution
Exploring Operation: 87*96=8352, Resulting Numbers: [8352]
8352,97 unequal: No Solution
Exploring Operation: 96-87=9, Resulting Numbers: [9]
9,97 unequal: No Solution
Moving to Node #0,1,3
Current State: 97:[87, 96], Operations: ['16+43=59', '37+59=96']
Exploring Operation: 87+96=183, Resulting Numbers: [183]
183,97 unequal: No Solution
Exploring Operation: 96-87=9, Resulting Numbers: [9]
9,97 unequal: No Solution
Exploring Operation: 87*96=8352, Resulting Numbers: [8352]
8352,97 unequal: No Solution
Moving to Node #0,2,3
Current State: 97:[80, 103], Operations: ['37+43=80', '87+16=103']
Exploring Operation: 103-80=23, Resulting Numbers: [23]
23,97 unequal: No Solution
Exploring Operation: 80*103=8240, Resulting Numbers: [8240]
8240,97 unequal: No Solution
Exploring Operation: 80+103=183, Resulting Numbers: [183]
183,97 unequal: No Solution
Moving to Node #0,3,1
Current State: 97:[103, 80], Operations: ['87+16=103', '37+43=80']
Exploring Operation: 103+80=183, Resulting Numbers: [183]
183,97 unequal: No Solution
Exploring Operation: 103*80=8240, Resulting Numbers: [8240]
8240,97 unequal: No Solution
Exploring Operation: 103-80=23, Resulting Numbers: [23]
23,97 unequal: No Solution
Moving to Node #0,2,0
Current State: 97:[80, 71], Operations: ['37+43=80', '87-16=71']
Exploring Operation: 80+71=151, Resulting Numbers: [151]
151,97 unequal: No Solution
Exploring Operation: 80-71=9, Resulting Numbers: [9]
9,97 unequal: No Solution
Exploring Operation: 80*71=5680, Resulting Numbers: [5680]
5680,97 unequal: No Solution
Moving to Node #0,4,0
Current State: 97:[87, 64], Operations: ['37-16=21', '43+21=64']
Exploring Operation: 87-64=23, Resulting Numbers: [23]
23,97 unequal: No Solution
Exploring Operation: 87*64=5568, Resulting Numbers: [5568]
5568,97 unequal: No Solution
Exploring Operation: 87+64=151, Resulting Numbers: [151]
151,97 unequal: No Solution
Moving to Node #0,2,2
Current State: 97:[87, 64], Operations: ['37+43=80', '80-16=64']
Exploring Operation: 87*64=5568, Resulting Numbers: [5568]
5568,97 unequal: No Solution
Exploring Operation: 87-64=23, Resulting Numbers: [23]
23,97 unequal: No Solution
Exploring Operation: 87+64=151, Resulting Numbers: [151]
151,97 unequal: No Solution
Moving to Node #0,1,0
Current State: 97:[59, 124], Operations: ['16+43=59', '37+87=124']
Exploring Operation: 59*124=7316, Resulting Numbers: [7316]
7316,97 unequal: No Solution
Exploring Operation: 59+124=183, Resulting Numbers: [183]
183,97 unequal: No Solution
Exploring Operation: 124-59=65, Resulting Numbers: [65]
65,97 unequal: No Solution
Moving to Node #0,4,3
Current State: 97:[43, 108], Operations: ['37-16=21', '87+21=108']
Exploring Operation: 43+108=151, Resulting Numbers: [151]
151,97 unequal: No Solution
Exploring Operation: 108-43=65, Resulting Numbers: [65]
65,97 unequal: No Solution
Exploring Operation: 43*108=4644, Resulting Numbers: [4644]
4644,97 unequal: No Solution
Moving to Node #0,0,0
Current State: 97:[53, 130], Operations: ['37+16=53', '87+43=130']
Exploring Operation: 53+130=183, Resulting Numbers: [183]
183,97 unequal: No Solution
Exploring Operation: 53*130=6890, Resulting Numbers: [6890]
6890,97 unequal: No Solution
Exploring Operation: 130-53=77, Resulting Numbers: [77]
77,97 unequal: No Solution
Moving to Node #0,1,4
Current State: 97:[59, 50], Operations: ['16+43=59', '87-37=50']
Exploring Operation: 59*50=2950, Resulting Numbers: [2950]
2950,97 unequal: No Solution
Exploring Operation: 59+50=109, Resulting Numbers: [109]
109,97 unequal: No Solution
Exploring Operation: 59-50=9, Resulting Numbers: [9]
9,97 unequal: No Solution
Moving to Node #0,1,1
Current State: 97:[87, 22], Operations: ['16+43=59', '59-37=22']
Exploring Operation: 87+22=109, Resulting Numbers: [109]
109,97 unequal: No Solution
Exploring Operation: 87-22=65, Resulting Numbers: [65]
65,97 unequal: No Solution
Exploring Operation: 87*22=1914, Resulting Numbers: [1914]
1914,97 unequal: No Solution
Moving to Node #0,4,1
Current State: 97:[87, 22], Operations: ['37-16=21', '43-21=22']
Exploring Operation: 87+22=109, Resulting Numbers: [109]
109,97 unequal: No Solution
Exploring Operation: 87*22=1914, Resulting Numbers: [1914]
1914,97 unequal: No Solution
Exploring Operation: 87-22=65, Resulting Numbers: [65]
65,97 unequal: No Solution
Moving to Node #0,4,2
Current State: 97:[43, 66], Operations: ['37-16=21', '87-21=66']
Exploring Operation: 43*66=2838, Resulting Numbers: [2838]
2838,97 unequal: No Solution
Exploring Operation: 43+66=109, Resulting Numbers: [109]
109,97 unequal: No Solution
Exploring Operation: 66-43=23, Resulting Numbers: [23]
23,97 unequal: No Solution
Moving to Node #0,3,2
Current State: 97:[43, 66], Operations: ['87+16=103', '103-37=66']
Exploring Operation: 43*66=2838, Resulting Numbers: [2838]
2838,97 unequal: No Solution
Exploring Operation: 43+66=109, Resulting Numbers: [109]
109,97 unequal: No Solution
Exploring Operation: 66-43=23, Resulting Numbers: [23]
23,97 unequal: No Solution
Moving to Node #0,3,0
Current State: 97:[103, 6], Operations: ['87+16=103', '43-37=6']
Exploring Operation: 103-6=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Moving to Node #0
Current State: 97:[37, 87, 16, 43], Operations: []
Exploring Operation: 87+16=103, Resulting Numbers: [37, 43, 103]
Generated Node #0,3: 97:[37, 43, 103] Operation: 87+16=103
Moving to Node #0,3
Current State: 97:[37, 43, 103], Operations: ['87+16=103']
Exploring Operation: 43-37=6, Resulting Numbers: [103, 6]
Generated Node #0,3,0: 97:[103, 6] Operation: 43-37=6
Moving to Node #0,3,0
Current State: 97:[103, 6], Operations: ['87+16=103', '43-37=6']
Exploring Operation: 103-6=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 0.927951 | hs_5 | mult_heuristic |
[
15,
18,
58,
77
] | 97 | [
"18-15=3",
"58*3=174",
"174-77=97"
] | Current State: 97:[15, 18, 58, 77], Operations: []
Exploring Operation: 18-15=3, Resulting Numbers: [58, 77, 3]
Generated Node #2: [58, 77, 3] from Operation: 18-15=3
Current State: 97:[58, 77, 3], Operations: ['18-15=3']
Exploring Operation: 58*3=174, Resulting Numbers: [77, 174]
Generated Node #3: [77, 174] from Operation: 58*3=174
Current State: 97:[77, 174], Operations: ['18-15=3', '58*3=174']
Exploring Operation: 174-77=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[15, 18, 58, 77], Operations: []
Exploring Operation: 15+18=33, Resulting Numbers: [58, 77, 33]
Generated Node #0,0: 97:[58, 77, 33] Operation: 15+18=33
Start Sub Search at level 1: Moving to Node #0,0
Current State: 97:[58, 77, 33], Operations: ['15+18=33']
Exploring Operation: 58+33=91, Resulting Numbers: [77, 91]
Generated Node #0,0,0: 97:[77, 91] Operation: 58+33=91
Moving to Node #0,0,0
Current State: 97:[77, 91], Operations: ['15+18=33', '58+33=91']
Exploring Operation: 77+91=168, Resulting Numbers: [168]
168,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
8,
65,
86,
92
] | 76 | [
"86-65=21",
"8*21=168",
"168-92=76"
] | Current State: 76:[8, 65, 86, 92], Operations: []
Exploring Operation: 86-65=21, Resulting Numbers: [8, 92, 21]
Generated Node #2: [8, 92, 21] from Operation: 86-65=21
Current State: 76:[8, 92, 21], Operations: ['86-65=21']
Exploring Operation: 8*21=168, Resulting Numbers: [92, 168]
Generated Node #3: [92, 168] from Operation: 8*21=168
Current State: 76:[92, 168], Operations: ['86-65=21', '8*21=168']
Exploring Operation: 168-92=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[8, 65, 86, 92], Operations: []
Exploring Operation: 92-65=27, Resulting Numbers: [8, 86, 27]
Generated Node #0,0: 76:[8, 86, 27] Operation: 92-65=27
Exploring Operation: 8+65=73, Resulting Numbers: [86, 92, 73]
Generated Node #0,1: 76:[86, 92, 73] Operation: 8+65=73
Exploring Operation: 86-65=21, Resulting Numbers: [8, 92, 21]
Generated Node #0,2: 76:[8, 92, 21] Operation: 86-65=21
Exploring Operation: 92-86=6, Resulting Numbers: [8, 65, 6]
Generated Node #0,3: 76:[8, 65, 6] Operation: 92-86=6
Start Sub Search at level 1: Moving to Node #0,3
Current State: 76:[8, 65, 6], Operations: ['92-86=6']
Exploring Operation: 8-6=2, Resulting Numbers: [65, 2]
Generated Node #0,3,0: 76:[65, 2] Operation: 8-6=2
Exploring Operation: 8+6=14, Resulting Numbers: [65, 14]
Generated Node #0,3,1: 76:[65, 14] Operation: 8+6=14
Exploring Operation: 8+65=73, Resulting Numbers: [6, 73]
Generated Node #0,3,2: 76:[6, 73] Operation: 8+65=73
Exploring Operation: 65+6=71, Resulting Numbers: [8, 71]
Generated Node #0,3,3: 76:[8, 71] Operation: 65+6=71
Moving to Node #0,3,2
Current State: 76:[6, 73], Operations: ['92-86=6', '8+65=73']
Exploring Operation: 6*73=438, Resulting Numbers: [438]
438,76 unequal: No Solution
Exploring Operation: 6+73=79, Resulting Numbers: [79]
79,76 unequal: No Solution
Exploring Operation: 73-6=67, Resulting Numbers: [67]
67,76 unequal: No Solution
Moving to Node #0,3,3
Current State: 76:[8, 71], Operations: ['92-86=6', '65+6=71']
Exploring Operation: 8*71=568, Resulting Numbers: [568]
568,76 unequal: No Solution
Exploring Operation: 71-8=63, Resulting Numbers: [63]
63,76 unequal: No Solution
Exploring Operation: 8+71=79, Resulting Numbers: [79]
79,76 unequal: No Solution
Moving to Node #0,3,0
Current State: 76:[65, 2], Operations: ['92-86=6', '8-6=2']
Exploring Operation: 65+2=67, Resulting Numbers: [67]
67,76 unequal: No Solution
Exploring Operation: 65-2=63, Resulting Numbers: [63]
63,76 unequal: No Solution
Exploring Operation: 65*2=130, Resulting Numbers: [130]
130,76 unequal: No Solution
Moving to Node #0,3,1
Current State: 76:[65, 14], Operations: ['92-86=6', '8+6=14']
Exploring Operation: 65*14=910, Resulting Numbers: [910]
910,76 unequal: No Solution
Exploring Operation: 65-14=51, Resulting Numbers: [51]
51,76 unequal: No Solution
Exploring Operation: 65+14=79, Resulting Numbers: [79]
79,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 76:[8, 86, 27], Operations: ['92-65=27']
Exploring Operation: 86-27=59, Resulting Numbers: [8, 59]
Generated Node #0,0,0: 76:[8, 59] Operation: 86-27=59
Exploring Operation: 86-8=78, Resulting Numbers: [27, 78]
Generated Node #0,0,1: 76:[27, 78] Operation: 86-8=78
Exploring Operation: 27-8=19, Resulting Numbers: [86, 19]
Generated Node #0,0,2: 76:[86, 19] Operation: 27-8=19
Exploring Operation: 8+27=35, Resulting Numbers: [86, 35]
Generated Node #0,0,3: 76:[86, 35] Operation: 8+27=35
Moving to Node #0,0,1
Current State: 76:[27, 78], Operations: ['92-65=27', '86-8=78']
Exploring Operation: 27*78=2106, Resulting Numbers: [2106]
2106,76 unequal: No Solution
Exploring Operation: 27+78=105, Resulting Numbers: [105]
105,76 unequal: No Solution
Exploring Operation: 78-27=51, Resulting Numbers: [51]
51,76 unequal: No Solution
Moving to Node #0,0,2
Current State: 76:[86, 19], Operations: ['92-65=27', '27-8=19']
Exploring Operation: 86-19=67, Resulting Numbers: [67]
67,76 unequal: No Solution
Exploring Operation: 86*19=1634, Resulting Numbers: [1634]
1634,76 unequal: No Solution
Exploring Operation: 86+19=105, Resulting Numbers: [105]
105,76 unequal: No Solution
Moving to Node #0,0,3
Current State: 76:[86, 35], Operations: ['92-65=27', '8+27=35']
Exploring Operation: 86+35=121, Resulting Numbers: [121]
121,76 unequal: No Solution
Exploring Operation: 86*35=3010, Resulting Numbers: [3010]
3010,76 unequal: No Solution
Exploring Operation: 86-35=51, Resulting Numbers: [51]
51,76 unequal: No Solution
Moving to Node #0,0,0
Current State: 76:[8, 59], Operations: ['92-65=27', '86-27=59']
Exploring Operation: 8*59=472, Resulting Numbers: [472]
472,76 unequal: No Solution
Exploring Operation: 8+59=67, Resulting Numbers: [67]
67,76 unequal: No Solution
Exploring Operation: 59-8=51, Resulting Numbers: [51]
51,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 76:[8, 92, 21], Operations: ['86-65=21']
Exploring Operation: 21-8=13, Resulting Numbers: [92, 13]
Generated Node #0,2,0: 76:[92, 13] Operation: 21-8=13
Exploring Operation: 8+21=29, Resulting Numbers: [92, 29]
Generated Node #0,2,1: 76:[92, 29] Operation: 8+21=29
Exploring Operation: 92-8=84, Resulting Numbers: [21, 84]
Generated Node #0,2,2: 76:[21, 84] Operation: 92-8=84
Exploring Operation: 92-21=71, Resulting Numbers: [8, 71]
Generated Node #0,2,3: 76:[8, 71] Operation: 92-21=71
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 76:[8, 71], Operations: ['86-65=21', '92-21=71']
Exploring Operation: 8*71=568, Resulting Numbers: [568]
568,76 unequal: No Solution
Exploring Operation: 8+71=79, Resulting Numbers: [79]
79,76 unequal: No Solution
Exploring Operation: 71-8=63, Resulting Numbers: [63]
63,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 76:[21, 84], Operations: ['86-65=21', '92-8=84']
Exploring Operation: 84/21=4, Resulting Numbers: [4]
4,76 unequal: No Solution
Exploring Operation: 84-21=63, Resulting Numbers: [63]
63,76 unequal: No Solution
Exploring Operation: 21+84=105, Resulting Numbers: [105]
105,76 unequal: No Solution
Exploring Operation: 21*84=1764, Resulting Numbers: [1764]
1764,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 76:[92, 13], Operations: ['86-65=21', '21-8=13']
Exploring Operation: 92-13=79, Resulting Numbers: [79]
79,76 unequal: No Solution
Exploring Operation: 92+13=105, Resulting Numbers: [105]
105,76 unequal: No Solution
Exploring Operation: 92*13=1196, Resulting Numbers: [1196]
1196,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 76:[92, 29], Operations: ['86-65=21', '8+21=29']
Exploring Operation: 92-29=63, Resulting Numbers: [63]
63,76 unequal: No Solution
Exploring Operation: 92+29=121, Resulting Numbers: [121]
121,76 unequal: No Solution
Exploring Operation: 92*29=2668, Resulting Numbers: [2668]
2668,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 76:[86, 92, 73], Operations: ['8+65=73']
Exploring Operation: 92-86=6, Resulting Numbers: [73, 6]
Generated Node #0,1,0: 76:[73, 6] Operation: 92-86=6
Exploring Operation: 86+73=159, Resulting Numbers: [92, 159]
Generated Node #0,1,1: 76:[92, 159] Operation: 86+73=159
Exploring Operation: 86-73=13, Resulting Numbers: [92, 13]
Generated Node #0,1,2: 76:[92, 13] Operation: 86-73=13
Exploring Operation: 92-73=19, Resulting Numbers: [86, 19]
Generated Node #0,1,3: 76:[86, 19] Operation: 92-73=19
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 76:[73, 6], Operations: ['8+65=73', '92-86=6']
Exploring Operation: 73-6=67, Resulting Numbers: [67]
67,76 unequal: No Solution
Exploring Operation: 73+6=79, Resulting Numbers: [79]
79,76 unequal: No Solution
Exploring Operation: 73*6=438, Resulting Numbers: [438]
438,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 76:[86, 19], Operations: ['8+65=73', '92-73=19']
Exploring Operation: 86-19=67, Resulting Numbers: [67]
67,76 unequal: No Solution
Exploring Operation: 86*19=1634, Resulting Numbers: [1634]
1634,76 unequal: No Solution
Exploring Operation: 86+19=105, Resulting Numbers: [105]
105,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 76:[92, 13], Operations: ['8+65=73', '86-73=13']
Exploring Operation: 92*13=1196, Resulting Numbers: [1196]
1196,76 unequal: No Solution
Exploring Operation: 92+13=105, Resulting Numbers: [105]
105,76 unequal: No Solution
Exploring Operation: 92-13=79, Resulting Numbers: [79]
79,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 76:[92, 159], Operations: ['8+65=73', '86+73=159']
Exploring Operation: 92+159=251, Resulting Numbers: [251]
251,76 unequal: No Solution
Exploring Operation: 159-92=67, Resulting Numbers: [67]
67,76 unequal: No Solution
Exploring Operation: 92*159=14628, Resulting Numbers: [14628]
14628,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
4,
41,
25,
3
] | 36 | [
"41-4=37",
"37-25=12",
"3*12=36"
] | Current State: 36:[4, 41, 25, 3], Operations: []
Exploring Operation: 41-4=37, Resulting Numbers: [25, 3, 37]
Generated Node #2: [25, 3, 37] from Operation: 41-4=37
Current State: 36:[25, 3, 37], Operations: ['41-4=37']
Exploring Operation: 37-25=12, Resulting Numbers: [3, 12]
Generated Node #3: [3, 12] from Operation: 37-25=12
Current State: 36:[3, 12], Operations: ['41-4=37', '37-25=12']
Exploring Operation: 3*12=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[4, 41, 25, 3], Operations: []
Exploring Operation: 41-25=16, Resulting Numbers: [4, 3, 16]
Generated Node #0,0: 36:[4, 3, 16] Operation: 41-25=16
Moving to Node #0,0
Current State: 36:[4, 3, 16], Operations: ['41-25=16']
Exploring Operation: 16-4=12, Resulting Numbers: [3, 12]
Generated Node #0,0,0: 36:[3, 12] Operation: 16-4=12
Moving to Node #0,0,0
Current State: 36:[3, 12], Operations: ['41-25=16', '16-4=12']
Exploring Operation: 3*12=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Moving to Node #0
Current State: 36:[4, 41, 25, 3], Operations: []
Exploring Operation: 41-25=16, Resulting Numbers: [4, 3, 16]
Generated Node #0,0: 36:[4, 3, 16] Operation: 41-25=16
Moving to Node #0,0
Current State: 36:[4, 3, 16], Operations: ['41-25=16']
Exploring Operation: 16-4=12, Resulting Numbers: [3, 12]
Generated Node #0,0,0: 36:[3, 12] Operation: 16-4=12
Moving to Node #0,0,0
Current State: 36:[3, 12], Operations: ['41-25=16', '16-4=12']
Exploring Operation: 3*12=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 0.993924 | hs_1 | mult_heuristic |
[
48,
42,
96,
54
] | 100 | [
"54-42=12",
"48/12=4",
"96+4=100"
] | Current State: 100:[48, 42, 96, 54], Operations: []
Exploring Operation: 54-42=12, Resulting Numbers: [48, 96, 12]
Generated Node #2: [48, 96, 12] from Operation: 54-42=12
Current State: 100:[48, 96, 12], Operations: ['54-42=12']
Exploring Operation: 48/12=4, Resulting Numbers: [96, 4]
Generated Node #3: [96, 4] from Operation: 48/12=4
Current State: 100:[96, 4], Operations: ['54-42=12', '48/12=4']
Exploring Operation: 96+4=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[48, 42, 96, 54], Operations: []
Exploring Operation: 54-42=12, Resulting Numbers: [48, 96, 12]
Generated Node #0,0: 100:[48, 96, 12] Operation: 54-42=12
Start Sub Search at level 1: Moving to Node #0,0
Current State: 100:[48, 96, 12], Operations: ['54-42=12']
Exploring Operation: 96/48=2, Resulting Numbers: [12, 2]
Generated Node #0,0,0: 100:[12, 2] Operation: 96/48=2
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 100:[12, 2], Operations: ['54-42=12', '96/48=2']
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
40,
49,
2,
25
] | 83 | [
"40-25=15",
"49*2=98",
"98-15=83"
] | Current State: 83:[40, 49, 2, 25], Operations: []
Exploring Operation: 40-25=15, Resulting Numbers: [49, 2, 15]
Generated Node #2: [49, 2, 15] from Operation: 40-25=15
Current State: 83:[49, 2, 15], Operations: ['40-25=15']
Exploring Operation: 49*2=98, Resulting Numbers: [15, 98]
Generated Node #3: [15, 98] from Operation: 49*2=98
Current State: 83:[15, 98], Operations: ['40-25=15', '49*2=98']
Exploring Operation: 98-15=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[40, 49, 2, 25], Operations: []
Exploring Operation: 2*25=50, Resulting Numbers: [40, 49, 50]
Generated Node #0,0: 83:[40, 49, 50] Operation: 2*25=50
Exploring Operation: 40*2=80, Resulting Numbers: [49, 25, 80]
Generated Node #0,1: 83:[49, 25, 80] Operation: 40*2=80
Moving to Node #0,1
Current State: 83:[49, 25, 80], Operations: ['40*2=80']
Exploring Operation: 49+25=74, Resulting Numbers: [80, 74]
Generated Node #0,1,0: 83:[80, 74] Operation: 49+25=74
Exploring Operation: 25+80=105, Resulting Numbers: [49, 105]
Generated Node #0,1,1: 83:[49, 105] Operation: 25+80=105
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 83:[80, 74], Operations: ['40*2=80', '49+25=74']
Exploring Operation: 80-74=6, Resulting Numbers: [6]
6,83 unequal: No Solution
Exploring Operation: 80+74=154, Resulting Numbers: [154]
154,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 83:[49, 105], Operations: ['40*2=80', '25+80=105']
Exploring Operation: 49+105=154, Resulting Numbers: [154]
154,83 unequal: No Solution
Exploring Operation: 105-49=56, Resulting Numbers: [56]
56,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 83:[40, 49, 50], Operations: ['2*25=50']
Exploring Operation: 40+50=90, Resulting Numbers: [49, 90]
Generated Node #0,0,0: 83:[49, 90] Operation: 40+50=90
Exploring Operation: 40+49=89, Resulting Numbers: [50, 89]
Generated Node #0,0,1: 83:[50, 89] Operation: 40+49=89
Moving to Node #0,0,1
Current State: 83:[50, 89], Operations: ['2*25=50', '40+49=89']
Exploring Operation: 50+89=139, Resulting Numbers: [139]
139,83 unequal: No Solution
Exploring Operation: 89-50=39, Resulting Numbers: [39]
39,83 unequal: No Solution
Moving to Node #0,0,0
Current State: 83:[49, 90], Operations: ['2*25=50', '40+50=90']
Exploring Operation: 90-49=41, Resulting Numbers: [41]
41,83 unequal: No Solution
Exploring Operation: 49+90=139, Resulting Numbers: [139]
139,83 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
86,
74,
65,
88
] | 83 | [
"88-86=2",
"74*2=148",
"148-65=83"
] | Current State: 83:[86, 74, 65, 88], Operations: []
Exploring Operation: 88-86=2, Resulting Numbers: [74, 65, 2]
Generated Node #2: [74, 65, 2] from Operation: 88-86=2
Current State: 83:[74, 65, 2], Operations: ['88-86=2']
Exploring Operation: 74*2=148, Resulting Numbers: [65, 148]
Generated Node #3: [65, 148] from Operation: 74*2=148
Current State: 83:[65, 148], Operations: ['88-86=2', '74*2=148']
Exploring Operation: 148-65=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[86, 74, 65, 88], Operations: []
Exploring Operation: 74+65=139, Resulting Numbers: [86, 88, 139]
Generated Node #0,0: 83:[86, 88, 139] Operation: 74+65=139
Moving to Node #0,0
Current State: 83:[86, 88, 139], Operations: ['74+65=139']
Exploring Operation: 139-86=53, Resulting Numbers: [88, 53]
Generated Node #0,0,0: 83:[88, 53] Operation: 139-86=53
Moving to Node #0,0,0
Current State: 83:[88, 53], Operations: ['74+65=139', '139-86=53']
Exploring Operation: 88-53=35, Resulting Numbers: [35]
35,83 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
45,
91,
86,
17
] | 23 | [
"91-45=46",
"86-17=69",
"69-46=23"
] | Current State: 23:[45, 91, 86, 17], Operations: []
Exploring Operation: 91-45=46, Resulting Numbers: [86, 17, 46]
Generated Node #2: [86, 17, 46] from Operation: 91-45=46
Current State: 23:[86, 17, 46], Operations: ['91-45=46']
Exploring Operation: 86-17=69, Resulting Numbers: [46, 69]
Generated Node #3: [46, 69] from Operation: 86-17=69
Current State: 23:[46, 69], Operations: ['91-45=46', '86-17=69']
Exploring Operation: 69-46=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[45, 91, 86, 17], Operations: []
Exploring Operation: 91-86=5, Resulting Numbers: [45, 17, 5]
Generated Node #0,0: 23:[45, 17, 5] Operation: 91-86=5
Exploring Operation: 91-45=46, Resulting Numbers: [86, 17, 46]
Generated Node #0,1: 23:[86, 17, 46] Operation: 91-45=46
Moving to Node #0,0
Current State: 23:[45, 17, 5], Operations: ['91-86=5']
Exploring Operation: 45-17=28, Resulting Numbers: [5, 28]
Generated Node #0,0,0: 23:[5, 28] Operation: 45-17=28
Exploring Operation: 45/5=9, Resulting Numbers: [17, 9]
Generated Node #0,0,1: 23:[17, 9] Operation: 45/5=9
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 23:[17, 9], Operations: ['91-86=5', '45/5=9']
Exploring Operation: 17+9=26, Resulting Numbers: [26]
26,23 unequal: No Solution
Exploring Operation: 17-9=8, Resulting Numbers: [8]
8,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 23:[5, 28], Operations: ['91-86=5', '45-17=28']
Exploring Operation: 28-5=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Moving to Node #0
Current State: 23:[45, 91, 86, 17], Operations: []
Exploring Operation: 91-86=5, Resulting Numbers: [45, 17, 5]
Generated Node #0,0: 23:[45, 17, 5] Operation: 91-86=5
Moving to Node #0,0
Current State: 23:[45, 17, 5], Operations: ['91-86=5']
Exploring Operation: 45-17=28, Resulting Numbers: [5, 28]
Generated Node #0,0,0: 23:[5, 28] Operation: 45-17=28
Moving to Node #0,0,0
Current State: 23:[5, 28], Operations: ['91-86=5', '45-17=28']
Exploring Operation: 28-5=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_2 | sum_heuristic |
[
56,
4,
2,
58
] | 25 | [
"4+58=62",
"62/2=31",
"56-31=25"
] | Current State: 25:[56, 4, 2, 58], Operations: []
Exploring Operation: 4+58=62, Resulting Numbers: [56, 2, 62]
Generated Node #2: [56, 2, 62] from Operation: 4+58=62
Current State: 25:[56, 2, 62], Operations: ['4+58=62']
Exploring Operation: 62/2=31, Resulting Numbers: [56, 31]
Generated Node #3: [56, 31] from Operation: 62/2=31
Current State: 25:[56, 31], Operations: ['4+58=62', '62/2=31']
Exploring Operation: 56-31=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[56, 4, 2, 58], Operations: []
Exploring Operation: 58-56=2, Resulting Numbers: [4, 2, 2]
Generated Node #0,0: 25:[4, 2, 2] Operation: 58-56=2
Exploring Operation: 56/2=28, Resulting Numbers: [4, 58, 28]
Generated Node #0,1: 25:[4, 58, 28] Operation: 56/2=28
Exploring Operation: 58/2=29, Resulting Numbers: [56, 4, 29]
Generated Node #0,2: 25:[56, 4, 29] Operation: 58/2=29
Exploring Operation: 56/4=14, Resulting Numbers: [2, 58, 14]
Generated Node #0,3: 25:[2, 58, 14] Operation: 56/4=14
Start Sub Search at level 1: Moving to Node #0,0
Current State: 25:[4, 2, 2], Operations: ['58-56=2']
Exploring Operation: 4+2=6, Resulting Numbers: [2, 6]
Generated Node #0,0,0: 25:[2, 6] Operation: 4+2=6
Exploring Operation: 2*2=4, Resulting Numbers: [4, 4]
Generated Node #0,0,1: 25:[4, 4] Operation: 2*2=4
Exploring Operation: 4+2=6, Resulting Numbers: [2, 6]
Generated Node #0,0,2: 25:[2, 6] Operation: 4+2=6
Exploring Operation: 2+2=4, Resulting Numbers: [4, 4]
Generated Node #0,0,3: 25:[4, 4] Operation: 2+2=4
Moving to Node #0,0,1
Current State: 25:[4, 4], Operations: ['58-56=2', '2*2=4']
Exploring Operation: 4-4=0, Resulting Numbers: [0]
0,25 unequal: No Solution
Exploring Operation: 4+4=8, Resulting Numbers: [8]
8,25 unequal: No Solution
Exploring Operation: 4/4=1, Resulting Numbers: [1]
1,25 unequal: No Solution
Exploring Operation: 4*4=16, Resulting Numbers: [16]
16,25 unequal: No Solution
Moving to Node #0,0,3
Current State: 25:[4, 4], Operations: ['58-56=2', '2+2=4']
Exploring Operation: 4+4=8, Resulting Numbers: [8]
8,25 unequal: No Solution
Exploring Operation: 4/4=1, Resulting Numbers: [1]
1,25 unequal: No Solution
Exploring Operation: 4*4=16, Resulting Numbers: [16]
16,25 unequal: No Solution
Exploring Operation: 4-4=0, Resulting Numbers: [0]
0,25 unequal: No Solution
Moving to Node #0,0,2
Current State: 25:[2, 6], Operations: ['58-56=2', '4+2=6']
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,25 unequal: No Solution
Exploring Operation: 2+6=8, Resulting Numbers: [8]
8,25 unequal: No Solution
Exploring Operation: 2*6=12, Resulting Numbers: [12]
12,25 unequal: No Solution
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,25 unequal: No Solution
Moving to Node #0,0,0
Current State: 25:[2, 6], Operations: ['58-56=2', '4+2=6']
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,25 unequal: No Solution
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,25 unequal: No Solution
Exploring Operation: 2*6=12, Resulting Numbers: [12]
12,25 unequal: No Solution
Exploring Operation: 2+6=8, Resulting Numbers: [8]
8,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 25:[56, 4, 29], Operations: ['58/2=29']
Exploring Operation: 56-29=27, Resulting Numbers: [4, 27]
Generated Node #0,2,0: 25:[4, 27] Operation: 56-29=27
Exploring Operation: 56-4=52, Resulting Numbers: [29, 52]
Generated Node #0,2,1: 25:[29, 52] Operation: 56-4=52
Exploring Operation: 29-4=25, Resulting Numbers: [56, 25]
Generated Node #0,2,2: 25:[56, 25] Operation: 29-4=25
Exploring Operation: 56/4=14, Resulting Numbers: [29, 14]
Generated Node #0,2,3: 25:[29, 14] Operation: 56/4=14
Moving to Node #0,2,0
Current State: 25:[4, 27], Operations: ['58/2=29', '56-29=27']
Exploring Operation: 4*27=108, Resulting Numbers: [108]
108,25 unequal: No Solution
Exploring Operation: 4+27=31, Resulting Numbers: [31]
31,25 unequal: No Solution
Exploring Operation: 27-4=23, Resulting Numbers: [23]
23,25 unequal: No Solution
Moving to Node #0,2,3
Current State: 25:[29, 14], Operations: ['58/2=29', '56/4=14']
Exploring Operation: 29-14=15, Resulting Numbers: [15]
15,25 unequal: No Solution
Exploring Operation: 29+14=43, Resulting Numbers: [43]
43,25 unequal: No Solution
Exploring Operation: 29*14=406, Resulting Numbers: [406]
406,25 unequal: No Solution
Moving to Node #0,2,2
Current State: 25:[56, 25], Operations: ['58/2=29', '29-4=25']
Exploring Operation: 56+25=81, Resulting Numbers: [81]
81,25 unequal: No Solution
Exploring Operation: 56-25=31, Resulting Numbers: [31]
31,25 unequal: No Solution
Exploring Operation: 56*25=1400, Resulting Numbers: [1400]
1400,25 unequal: No Solution
Moving to Node #0,2,1
Current State: 25:[29, 52], Operations: ['58/2=29', '56-4=52']
Exploring Operation: 52-29=23, Resulting Numbers: [23]
23,25 unequal: No Solution
Exploring Operation: 29*52=1508, Resulting Numbers: [1508]
1508,25 unequal: No Solution
Exploring Operation: 29+52=81, Resulting Numbers: [81]
81,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 25:[4, 58, 28], Operations: ['56/2=28']
Exploring Operation: 28/4=7, Resulting Numbers: [58, 7]
Generated Node #0,1,0: 25:[58, 7] Operation: 28/4=7
Exploring Operation: 58-4=54, Resulting Numbers: [28, 54]
Generated Node #0,1,1: 25:[28, 54] Operation: 58-4=54
Exploring Operation: 58-28=30, Resulting Numbers: [4, 30]
Generated Node #0,1,2: 25:[4, 30] Operation: 58-28=30
Exploring Operation: 28-4=24, Resulting Numbers: [58, 24]
Generated Node #0,1,3: 25:[58, 24] Operation: 28-4=24
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 25:[4, 30], Operations: ['56/2=28', '58-28=30']
Exploring Operation: 30-4=26, Resulting Numbers: [26]
26,25 unequal: No Solution
Exploring Operation: 4+30=34, Resulting Numbers: [34]
34,25 unequal: No Solution
Exploring Operation: 4*30=120, Resulting Numbers: [120]
120,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 25:[28, 54], Operations: ['56/2=28', '58-4=54']
Exploring Operation: 28+54=82, Resulting Numbers: [82]
82,25 unequal: No Solution
Exploring Operation: 28*54=1512, Resulting Numbers: [1512]
1512,25 unequal: No Solution
Exploring Operation: 54-28=26, Resulting Numbers: [26]
26,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 25:[58, 24], Operations: ['56/2=28', '28-4=24']
Exploring Operation: 58-24=34, Resulting Numbers: [34]
34,25 unequal: No Solution
Exploring Operation: 58*24=1392, Resulting Numbers: [1392]
1392,25 unequal: No Solution
Exploring Operation: 58+24=82, Resulting Numbers: [82]
82,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 25:[58, 7], Operations: ['56/2=28', '28/4=7']
Exploring Operation: 58-7=51, Resulting Numbers: [51]
51,25 unequal: No Solution
Exploring Operation: 58+7=65, Resulting Numbers: [65]
65,25 unequal: No Solution
Exploring Operation: 58*7=406, Resulting Numbers: [406]
406,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 25:[2, 58, 14], Operations: ['56/4=14']
Exploring Operation: 2*14=28, Resulting Numbers: [58, 28]
Generated Node #0,3,0: 25:[58, 28] Operation: 2*14=28
Exploring Operation: 14/2=7, Resulting Numbers: [58, 7]
Generated Node #0,3,1: 25:[58, 7] Operation: 14/2=7
Exploring Operation: 58-14=44, Resulting Numbers: [2, 44]
Generated Node #0,3,2: 25:[2, 44] Operation: 58-14=44
Exploring Operation: 58/2=29, Resulting Numbers: [14, 29]
Generated Node #0,3,3: 25:[14, 29] Operation: 58/2=29
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 25:[14, 29], Operations: ['56/4=14', '58/2=29']
Exploring Operation: 14*29=406, Resulting Numbers: [406]
406,25 unequal: No Solution
Exploring Operation: 29-14=15, Resulting Numbers: [15]
15,25 unequal: No Solution
Exploring Operation: 14+29=43, Resulting Numbers: [43]
43,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 25:[2, 44], Operations: ['56/4=14', '58-14=44']
Exploring Operation: 44-2=42, Resulting Numbers: [42]
42,25 unequal: No Solution
Exploring Operation: 2*44=88, Resulting Numbers: [88]
88,25 unequal: No Solution
Exploring Operation: 2+44=46, Resulting Numbers: [46]
46,25 unequal: No Solution
Exploring Operation: 44/2=22, Resulting Numbers: [22]
22,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 25:[58, 7], Operations: ['56/4=14', '14/2=7']
Exploring Operation: 58*7=406, Resulting Numbers: [406]
406,25 unequal: No Solution
Exploring Operation: 58+7=65, Resulting Numbers: [65]
65,25 unequal: No Solution
Exploring Operation: 58-7=51, Resulting Numbers: [51]
51,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 25:[58, 28], Operations: ['56/4=14', '2*14=28']
Exploring Operation: 58+28=86, Resulting Numbers: [86]
86,25 unequal: No Solution
Exploring Operation: 58-28=30, Resulting Numbers: [30]
30,25 unequal: No Solution
Exploring Operation: 58*28=1624, Resulting Numbers: [1624]
1624,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
79,
10,
10,
41
] | 100 | [
"79-10=69",
"41-10=31",
"69+31=100"
] | Current State: 100:[79, 10, 10, 41], Operations: []
Exploring Operation: 79-10=69, Resulting Numbers: [41, 69]
Generated Node #2: [41, 69] from Operation: 79-10=69
Current State: 100:[41, 69], Operations: ['79-10=69']
Exploring Operation: 41-10=31, Resulting Numbers: [69, 31]
Generated Node #3: [69, 31] from Operation: 41-10=31
Current State: 100:[69, 31], Operations: ['79-10=69', '41-10=31']
Exploring Operation: 69+31=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[79, 10, 10, 41], Operations: []
Exploring Operation: 79-41=38, Resulting Numbers: [10, 10, 38]
Generated Node #0,0: 100:[10, 10, 38] Operation: 79-41=38
Exploring Operation: 79+10=89, Resulting Numbers: [10, 41, 89]
Generated Node #0,1: 100:[10, 41, 89] Operation: 79+10=89
Exploring Operation: 79+10=89, Resulting Numbers: [10, 41, 89]
Generated Node #0,2: 100:[10, 41, 89] Operation: 79+10=89
Moving to Node #0,0
Current State: 100:[10, 10, 38], Operations: ['79-41=38']
Exploring Operation: 10+38=48, Resulting Numbers: [10, 48]
Generated Node #0,0,0: 100:[10, 48] Operation: 10+38=48
Exploring Operation: 38-10=28, Resulting Numbers: [10, 28]
Generated Node #0,0,1: 100:[10, 28] Operation: 38-10=28
Exploring Operation: 10+38=48, Resulting Numbers: [10, 48]
Generated Node #0,0,2: 100:[10, 48] Operation: 10+38=48
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 100:[10, 48], Operations: ['79-41=38', '10+38=48']
Exploring Operation: 48-10=38, Resulting Numbers: [38]
38,100 unequal: No Solution
Exploring Operation: 10+48=58, Resulting Numbers: [58]
58,100 unequal: No Solution
Exploring Operation: 10*48=480, Resulting Numbers: [480]
480,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 100:[10, 48], Operations: ['79-41=38', '10+38=48']
Exploring Operation: 48-10=38, Resulting Numbers: [38]
38,100 unequal: No Solution
Exploring Operation: 10*48=480, Resulting Numbers: [480]
480,100 unequal: No Solution
Exploring Operation: 10+48=58, Resulting Numbers: [58]
58,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 100:[10, 28], Operations: ['79-41=38', '38-10=28']
Exploring Operation: 10+28=38, Resulting Numbers: [38]
38,100 unequal: No Solution
Exploring Operation: 28-10=18, Resulting Numbers: [18]
18,100 unequal: No Solution
Exploring Operation: 10*28=280, Resulting Numbers: [280]
280,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 100:[10, 41, 89], Operations: ['79+10=89']
Exploring Operation: 89-41=48, Resulting Numbers: [10, 48]
Generated Node #0,1,0: 100:[10, 48] Operation: 89-41=48
Exploring Operation: 10+41=51, Resulting Numbers: [89, 51]
Generated Node #0,1,1: 100:[89, 51] Operation: 10+41=51
Exploring Operation: 10+89=99, Resulting Numbers: [41, 99]
Generated Node #0,1,2: 100:[41, 99] Operation: 10+89=99
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 100:[10, 48], Operations: ['79+10=89', '89-41=48']
Exploring Operation: 48-10=38, Resulting Numbers: [38]
38,100 unequal: No Solution
Exploring Operation: 10+48=58, Resulting Numbers: [58]
58,100 unequal: No Solution
Exploring Operation: 10*48=480, Resulting Numbers: [480]
480,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 100:[41, 99], Operations: ['79+10=89', '10+89=99']
Exploring Operation: 41*99=4059, Resulting Numbers: [4059]
4059,100 unequal: No Solution
Exploring Operation: 41+99=140, Resulting Numbers: [140]
140,100 unequal: No Solution
Exploring Operation: 99-41=58, Resulting Numbers: [58]
58,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 100:[89, 51], Operations: ['79+10=89', '10+41=51']
Exploring Operation: 89+51=140, Resulting Numbers: [140]
140,100 unequal: No Solution
Exploring Operation: 89*51=4539, Resulting Numbers: [4539]
4539,100 unequal: No Solution
Exploring Operation: 89-51=38, Resulting Numbers: [38]
38,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 100:[10, 41, 89], Operations: ['79+10=89']
Exploring Operation: 10+89=99, Resulting Numbers: [41, 99]
Generated Node #0,2,0: 100:[41, 99] Operation: 10+89=99
Exploring Operation: 89-41=48, Resulting Numbers: [10, 48]
Generated Node #0,2,1: 100:[10, 48] Operation: 89-41=48
Exploring Operation: 10+41=51, Resulting Numbers: [89, 51]
Generated Node #0,2,2: 100:[89, 51] Operation: 10+41=51
Moving to Node #0,2,1
Current State: 100:[10, 48], Operations: ['79+10=89', '89-41=48']
Exploring Operation: 10+48=58, Resulting Numbers: [58]
58,100 unequal: No Solution
Exploring Operation: 10*48=480, Resulting Numbers: [480]
480,100 unequal: No Solution
Exploring Operation: 48-10=38, Resulting Numbers: [38]
38,100 unequal: No Solution
Moving to Node #0,2,0
Current State: 100:[41, 99], Operations: ['79+10=89', '10+89=99']
Exploring Operation: 41+99=140, Resulting Numbers: [140]
140,100 unequal: No Solution
Exploring Operation: 41*99=4059, Resulting Numbers: [4059]
4059,100 unequal: No Solution
Exploring Operation: 99-41=58, Resulting Numbers: [58]
58,100 unequal: No Solution
Moving to Node #0,2,2
Current State: 100:[89, 51], Operations: ['79+10=89', '10+41=51']
Exploring Operation: 89*51=4539, Resulting Numbers: [4539]
4539,100 unequal: No Solution
Exploring Operation: 89+51=140, Resulting Numbers: [140]
140,100 unequal: No Solution
Exploring Operation: 89-51=38, Resulting Numbers: [38]
38,100 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
24,
67,
91,
50
] | 49 | [
"24+67=91",
"91/91=1",
"50-1=49"
] | Current State: 49:[24, 67, 91, 50], Operations: []
Exploring Operation: 24+67=91, Resulting Numbers: [91, 50, 91]
Generated Node #2: [91, 50, 91] from Operation: 24+67=91
Current State: 49:[91, 50, 91], Operations: ['24+67=91']
Exploring Operation: 91/91=1, Resulting Numbers: [50, 1]
Generated Node #3: [50, 1] from Operation: 91/91=1
Current State: 49:[50, 1], Operations: ['24+67=91', '91/91=1']
Exploring Operation: 50-1=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[24, 67, 91, 50], Operations: []
Exploring Operation: 67-24=43, Resulting Numbers: [91, 50, 43]
Generated Node #0,0: 49:[91, 50, 43] Operation: 67-24=43
Exploring Operation: 91-24=67, Resulting Numbers: [67, 50, 67]
Generated Node #0,1: 49:[67, 50, 67] Operation: 91-24=67
Exploring Operation: 91-50=41, Resulting Numbers: [24, 67, 41]
Generated Node #0,2: 49:[24, 67, 41] Operation: 91-50=41
Exploring Operation: 67-50=17, Resulting Numbers: [24, 91, 17]
Generated Node #0,3: 49:[24, 91, 17] Operation: 67-50=17
Exploring Operation: 91-67=24, Resulting Numbers: [24, 50, 24]
Generated Node #0,4: 49:[24, 50, 24] Operation: 91-67=24
Moving to Node #0,4
Current State: 49:[24, 50, 24], Operations: ['91-67=24']
Exploring Operation: 24-24=0, Resulting Numbers: [50, 0]
Generated Node #0,4,0: 49:[50, 0] Operation: 24-24=0
Exploring Operation: 50-24=26, Resulting Numbers: [24, 26]
Generated Node #0,4,1: 49:[24, 26] Operation: 50-24=26
Exploring Operation: 24/24=1, Resulting Numbers: [50, 1]
Generated Node #0,4,2: 49:[50, 1] Operation: 24/24=1
Exploring Operation: 50-24=26, Resulting Numbers: [24, 26]
Generated Node #0,4,3: 49:[24, 26] Operation: 50-24=26
Exploring Operation: 24+24=48, Resulting Numbers: [50, 48]
Generated Node #0,4,4: 49:[50, 48] Operation: 24+24=48
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 49:[50, 48], Operations: ['91-67=24', '24+24=48']
Exploring Operation: 50-48=2, Resulting Numbers: [2]
2,49 unequal: No Solution
Exploring Operation: 50+48=98, Resulting Numbers: [98]
98,49 unequal: No Solution
Exploring Operation: 50*48=2400, Resulting Numbers: [2400]
2400,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 49:[50, 1], Operations: ['91-67=24', '24/24=1']
Exploring Operation: 50+1=51, Resulting Numbers: [51]
51,49 unequal: No Solution
Exploring Operation: 50-1=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Moving to Node #0
Current State: 49:[24, 67, 91, 50], Operations: []
Exploring Operation: 91-67=24, Resulting Numbers: [24, 50, 24]
Generated Node #0,4: 49:[24, 50, 24] Operation: 91-67=24
Moving to Node #0,4
Current State: 49:[24, 50, 24], Operations: ['91-67=24']
Exploring Operation: 24/24=1, Resulting Numbers: [50, 1]
Generated Node #0,4,2: 49:[50, 1] Operation: 24/24=1
Moving to Node #0,4,2
Current State: 49:[50, 1], Operations: ['91-67=24', '24/24=1']
Exploring Operation: 50-1=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_5 | mult_heuristic |
[
74,
38,
72,
64
] | 24 | [
"74+38=112",
"72+64=136",
"136-112=24"
] | Current State: 24:[74, 38, 72, 64], Operations: []
Exploring Operation: 74+38=112, Resulting Numbers: [72, 64, 112]
Generated Node #2: [72, 64, 112] from Operation: 74+38=112
Current State: 24:[72, 64, 112], Operations: ['74+38=112']
Exploring Operation: 72+64=136, Resulting Numbers: [112, 136]
Generated Node #3: [112, 136] from Operation: 72+64=136
Current State: 24:[112, 136], Operations: ['74+38=112', '72+64=136']
Exploring Operation: 136-112=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[74, 38, 72, 64], Operations: []
Exploring Operation: 74-72=2, Resulting Numbers: [38, 64, 2]
Generated Node #0,0: 24:[38, 64, 2] Operation: 74-72=2
Moving to Node #0,0
Current State: 24:[38, 64, 2], Operations: ['74-72=2']
Exploring Operation: 64-38=26, Resulting Numbers: [2, 26]
Generated Node #0,0,0: 24:[2, 26] Operation: 64-38=26
Moving to Node #0,0,0
Current State: 24:[2, 26], Operations: ['74-72=2', '64-38=26']
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[74, 38, 72, 64], Operations: []
Exploring Operation: 74-72=2, Resulting Numbers: [38, 64, 2]
Generated Node #0,0: 24:[38, 64, 2] Operation: 74-72=2
Moving to Node #0,0
Current State: 24:[38, 64, 2], Operations: ['74-72=2']
Exploring Operation: 64-38=26, Resulting Numbers: [2, 26]
Generated Node #0,0,0: 24:[2, 26] Operation: 64-38=26
Moving to Node #0,0,0
Current State: 24:[2, 26], Operations: ['74-72=2', '64-38=26']
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 0.993924 | hs_1 | mult_heuristic |
[
42,
49,
9,
46
] | 30 | [
"49-42=7",
"46-9=37",
"37-7=30"
] | Current State: 30:[42, 49, 9, 46], Operations: []
Exploring Operation: 49-42=7, Resulting Numbers: [9, 46, 7]
Generated Node #2: [9, 46, 7] from Operation: 49-42=7
Current State: 30:[9, 46, 7], Operations: ['49-42=7']
Exploring Operation: 46-9=37, Resulting Numbers: [7, 37]
Generated Node #3: [7, 37] from Operation: 46-9=37
Current State: 30:[7, 37], Operations: ['49-42=7', '46-9=37']
Exploring Operation: 37-7=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[42, 49, 9, 46], Operations: []
Exploring Operation: 49-42=7, Resulting Numbers: [9, 46, 7]
Generated Node #0,0: 30:[9, 46, 7] Operation: 49-42=7
Exploring Operation: 49-46=3, Resulting Numbers: [42, 9, 3]
Generated Node #0,1: 30:[42, 9, 3] Operation: 49-46=3
Start Sub Search at level 1: Moving to Node #0,1
Current State: 30:[42, 9, 3], Operations: ['49-46=3']
Exploring Operation: 42/3=14, Resulting Numbers: [9, 14]
Generated Node #0,1,0: 30:[9, 14] Operation: 42/3=14
Exploring Operation: 42-9=33, Resulting Numbers: [3, 33]
Generated Node #0,1,1: 30:[3, 33] Operation: 42-9=33
Moving to Node #0,1,0
Current State: 30:[9, 14], Operations: ['49-46=3', '42/3=14']
Exploring Operation: 14-9=5, Resulting Numbers: [5]
5,30 unequal: No Solution
Exploring Operation: 9+14=23, Resulting Numbers: [23]
23,30 unequal: No Solution
Moving to Node #0,1,1
Current State: 30:[3, 33], Operations: ['49-46=3', '42-9=33']
Exploring Operation: 33/3=11, Resulting Numbers: [11]
11,30 unequal: No Solution
Exploring Operation: 33-3=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Moving to Node #0
Current State: 30:[42, 49, 9, 46], Operations: []
Exploring Operation: 49-46=3, Resulting Numbers: [42, 9, 3]
Generated Node #0,1: 30:[42, 9, 3] Operation: 49-46=3
Moving to Node #0,1
Current State: 30:[42, 9, 3], Operations: ['49-46=3']
Exploring Operation: 42-9=33, Resulting Numbers: [3, 33]
Generated Node #0,1,1: 30:[3, 33] Operation: 42-9=33
Moving to Node #0,1,1
Current State: 30:[3, 33], Operations: ['49-46=3', '42-9=33']
Exploring Operation: 33-3=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_2 | mult_heuristic |
[
28,
1,
30,
82
] | 83 | [
"28+1=29",
"30+82=112",
"112-29=83"
] | Current State: 83:[28, 1, 30, 82], Operations: []
Exploring Operation: 28+1=29, Resulting Numbers: [30, 82, 29]
Generated Node #2: [30, 82, 29] from Operation: 28+1=29
Current State: 83:[30, 82, 29], Operations: ['28+1=29']
Exploring Operation: 30+82=112, Resulting Numbers: [29, 112]
Generated Node #3: [29, 112] from Operation: 30+82=112
Current State: 83:[29, 112], Operations: ['28+1=29', '30+82=112']
Exploring Operation: 112-29=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[28, 1, 30, 82], Operations: []
Exploring Operation: 28+1=29, Resulting Numbers: [30, 82, 29]
Generated Node #0,0: 83:[30, 82, 29] Operation: 28+1=29
Exploring Operation: 28+30=58, Resulting Numbers: [1, 82, 58]
Generated Node #0,1: 83:[1, 82, 58] Operation: 28+30=58
Moving to Node #0,0
Current State: 83:[30, 82, 29], Operations: ['28+1=29']
Exploring Operation: 30+29=59, Resulting Numbers: [82, 59]
Generated Node #0,0,0: 83:[82, 59] Operation: 30+29=59
Exploring Operation: 82+29=111, Resulting Numbers: [30, 111]
Generated Node #0,0,1: 83:[30, 111] Operation: 82+29=111
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 83:[82, 59], Operations: ['28+1=29', '30+29=59']
Exploring Operation: 82-59=23, Resulting Numbers: [23]
23,83 unequal: No Solution
Exploring Operation: 82+59=141, Resulting Numbers: [141]
141,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 83:[30, 111], Operations: ['28+1=29', '82+29=111']
Exploring Operation: 111-30=81, Resulting Numbers: [81]
81,83 unequal: No Solution
Exploring Operation: 30+111=141, Resulting Numbers: [141]
141,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 83:[1, 82, 58], Operations: ['28+30=58']
Exploring Operation: 1+82=83, Resulting Numbers: [58, 83]
Generated Node #0,1,0: 83:[58, 83] Operation: 1+82=83
Exploring Operation: 1+58=59, Resulting Numbers: [82, 59]
Generated Node #0,1,1: 83:[82, 59] Operation: 1+58=59
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 83:[58, 83], Operations: ['28+30=58', '1+82=83']
Exploring Operation: 58+83=141, Resulting Numbers: [141]
141,83 unequal: No Solution
Exploring Operation: 83-58=25, Resulting Numbers: [25]
25,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 83:[82, 59], Operations: ['28+30=58', '1+58=59']
Exploring Operation: 82+59=141, Resulting Numbers: [141]
141,83 unequal: No Solution
Exploring Operation: 82-59=23, Resulting Numbers: [23]
23,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
18,
48,
88,
21
] | 12 | [
"18*88=1584",
"1584/48=33",
"33-21=12"
] | Current State: 12:[18, 48, 88, 21], Operations: []
Exploring Operation: 18*88=1584, Resulting Numbers: [48, 21, 1584]
Generated Node #2: [48, 21, 1584] from Operation: 18*88=1584
Current State: 12:[48, 21, 1584], Operations: ['18*88=1584']
Exploring Operation: 1584/48=33, Resulting Numbers: [21, 33]
Generated Node #3: [21, 33] from Operation: 1584/48=33
Current State: 12:[21, 33], Operations: ['18*88=1584', '1584/48=33']
Exploring Operation: 33-21=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[18, 48, 88, 21], Operations: []
Exploring Operation: 88-48=40, Resulting Numbers: [18, 21, 40]
Generated Node #0,0: 12:[18, 21, 40] Operation: 88-48=40
Start Sub Search at level 1: Moving to Node #0,0
Current State: 12:[18, 21, 40], Operations: ['88-48=40']
Exploring Operation: 40-21=19, Resulting Numbers: [18, 19]
Generated Node #0,0,0: 12:[18, 19] Operation: 40-21=19
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 12:[18, 19], Operations: ['88-48=40', '40-21=19']
Exploring Operation: 19-18=1, Resulting Numbers: [1]
1,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
1,
95,
15,
4
] | 99 | [
"1+15=16",
"16/4=4",
"95+4=99"
] | Current State: 99:[1, 95, 15, 4], Operations: []
Exploring Operation: 1+15=16, Resulting Numbers: [95, 4, 16]
Generated Node #2: [95, 4, 16] from Operation: 1+15=16
Current State: 99:[95, 4, 16], Operations: ['1+15=16']
Exploring Operation: 16/4=4, Resulting Numbers: [95, 4]
Generated Node #3: [95, 4] from Operation: 16/4=4
Current State: 99:[95, 4], Operations: ['1+15=16', '16/4=4']
Exploring Operation: 95+4=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[1, 95, 15, 4], Operations: []
Exploring Operation: 95+4=99, Resulting Numbers: [1, 15, 99]
Generated Node #0,0: 99:[1, 15, 99] Operation: 95+4=99
Exploring Operation: 15-1=14, Resulting Numbers: [95, 4, 14]
Generated Node #0,1: 99:[95, 4, 14] Operation: 15-1=14
Exploring Operation: 1+95=96, Resulting Numbers: [15, 4, 96]
Generated Node #0,2: 99:[15, 4, 96] Operation: 1+95=96
Exploring Operation: 15-4=11, Resulting Numbers: [1, 95, 11]
Generated Node #0,3: 99:[1, 95, 11] Operation: 15-4=11
Moving to Node #0,0
Current State: 99:[1, 15, 99], Operations: ['95+4=99']
Exploring Operation: 1*99=99, Resulting Numbers: [15, 99]
Generated Node #0,0,0: 99:[15, 99] Operation: 1*99=99
Exploring Operation: 15-1=14, Resulting Numbers: [99, 14]
Generated Node #0,0,1: 99:[99, 14] Operation: 15-1=14
Exploring Operation: 15/1=15, Resulting Numbers: [99, 15]
Generated Node #0,0,2: 99:[99, 15] Operation: 15/1=15
Exploring Operation: 1*15=15, Resulting Numbers: [99, 15]
Generated Node #0,0,3: 99:[99, 15] Operation: 1*15=15
Moving to Node #0,3
Current State: 99:[1, 95, 11], Operations: ['15-4=11']
Exploring Operation: 1+95=96, Resulting Numbers: [11, 96]
Generated Node #0,3,0: 99:[11, 96] Operation: 1+95=96
Exploring Operation: 95/1=95, Resulting Numbers: [11, 95]
Generated Node #0,3,1: 99:[11, 95] Operation: 95/1=95
Exploring Operation: 1*11=11, Resulting Numbers: [95, 11]
Generated Node #0,3,2: 99:[95, 11] Operation: 1*11=11
Exploring Operation: 1*95=95, Resulting Numbers: [11, 95]
Generated Node #0,3,3: 99:[11, 95] Operation: 1*95=95
Moving to Node #0,2
Current State: 99:[15, 4, 96], Operations: ['1+95=96']
Exploring Operation: 4+96=100, Resulting Numbers: [15, 100]
Generated Node #0,2,0: 99:[15, 100] Operation: 4+96=100
Exploring Operation: 15+4=19, Resulting Numbers: [96, 19]
Generated Node #0,2,1: 99:[96, 19] Operation: 15+4=19
Exploring Operation: 96-4=92, Resulting Numbers: [15, 92]
Generated Node #0,2,2: 99:[15, 92] Operation: 96-4=92
Exploring Operation: 15-4=11, Resulting Numbers: [96, 11]
Generated Node #0,2,3: 99:[96, 11] Operation: 15-4=11
Moving to Node #0,1
Current State: 99:[95, 4, 14], Operations: ['15-1=14']
Exploring Operation: 14-4=10, Resulting Numbers: [95, 10]
Generated Node #0,1,0: 99:[95, 10] Operation: 14-4=10
Exploring Operation: 95-4=91, Resulting Numbers: [14, 91]
Generated Node #0,1,1: 99:[14, 91] Operation: 95-4=91
Exploring Operation: 95+14=109, Resulting Numbers: [4, 109]
Generated Node #0,1,2: 99:[4, 109] Operation: 95+14=109
Exploring Operation: 95+4=99, Resulting Numbers: [14, 99]
Generated Node #0,1,3: 99:[14, 99] Operation: 95+4=99
Moving to Node #0,0,1
Current State: 99:[99, 14], Operations: ['95+4=99', '15-1=14']
Exploring Operation: 99*14=1386, Resulting Numbers: [1386]
1386,99 unequal: No Solution
Exploring Operation: 99-14=85, Resulting Numbers: [85]
85,99 unequal: No Solution
Exploring Operation: 99+14=113, Resulting Numbers: [113]
113,99 unequal: No Solution
Moving to Node #0,1,3
Current State: 99:[14, 99], Operations: ['15-1=14', '95+4=99']
Exploring Operation: 99-14=85, Resulting Numbers: [85]
85,99 unequal: No Solution
Exploring Operation: 14*99=1386, Resulting Numbers: [1386]
1386,99 unequal: No Solution
Exploring Operation: 14+99=113, Resulting Numbers: [113]
113,99 unequal: No Solution
Moving to Node #0,3,0
Current State: 99:[11, 96], Operations: ['15-4=11', '1+95=96']
Exploring Operation: 11*96=1056, Resulting Numbers: [1056]
1056,99 unequal: No Solution
Exploring Operation: 11+96=107, Resulting Numbers: [107]
107,99 unequal: No Solution
Exploring Operation: 96-11=85, Resulting Numbers: [85]
85,99 unequal: No Solution
Moving to Node #0,2,3
Current State: 99:[96, 11], Operations: ['1+95=96', '15-4=11']
Exploring Operation: 96*11=1056, Resulting Numbers: [1056]
1056,99 unequal: No Solution
Exploring Operation: 96-11=85, Resulting Numbers: [85]
85,99 unequal: No Solution
Exploring Operation: 96+11=107, Resulting Numbers: [107]
107,99 unequal: No Solution
Moving to Node #0,3,2
Current State: 99:[95, 11], Operations: ['15-4=11', '1*11=11']
Exploring Operation: 95+11=106, Resulting Numbers: [106]
106,99 unequal: No Solution
Exploring Operation: 95-11=84, Resulting Numbers: [84]
84,99 unequal: No Solution
Exploring Operation: 95*11=1045, Resulting Numbers: [1045]
1045,99 unequal: No Solution
Moving to Node #0,0,2
Current State: 99:[99, 15], Operations: ['95+4=99', '15/1=15']
Exploring Operation: 99+15=114, Resulting Numbers: [114]
114,99 unequal: No Solution
Exploring Operation: 99-15=84, Resulting Numbers: [84]
84,99 unequal: No Solution
Exploring Operation: 99*15=1485, Resulting Numbers: [1485]
1485,99 unequal: No Solution
Moving to Node #0,3,1
Current State: 99:[11, 95], Operations: ['15-4=11', '95/1=95']
Exploring Operation: 95-11=84, Resulting Numbers: [84]
84,99 unequal: No Solution
Exploring Operation: 11*95=1045, Resulting Numbers: [1045]
1045,99 unequal: No Solution
Exploring Operation: 11+95=106, Resulting Numbers: [106]
106,99 unequal: No Solution
Moving to Node #0,0,0
Current State: 99:[15, 99], Operations: ['95+4=99', '1*99=99']
Exploring Operation: 15*99=1485, Resulting Numbers: [1485]
1485,99 unequal: No Solution
Exploring Operation: 15+99=114, Resulting Numbers: [114]
114,99 unequal: No Solution
Exploring Operation: 99-15=84, Resulting Numbers: [84]
84,99 unequal: No Solution
Moving to Node #0,0,3
Current State: 99:[99, 15], Operations: ['95+4=99', '1*15=15']
Exploring Operation: 99+15=114, Resulting Numbers: [114]
114,99 unequal: No Solution
Exploring Operation: 99-15=84, Resulting Numbers: [84]
84,99 unequal: No Solution
Exploring Operation: 99*15=1485, Resulting Numbers: [1485]
1485,99 unequal: No Solution
Moving to Node #0,3,3
Current State: 99:[11, 95], Operations: ['15-4=11', '1*95=95']
Exploring Operation: 11+95=106, Resulting Numbers: [106]
106,99 unequal: No Solution
Exploring Operation: 95-11=84, Resulting Numbers: [84]
84,99 unequal: No Solution
Exploring Operation: 11*95=1045, Resulting Numbers: [1045]
1045,99 unequal: No Solution
Moving to Node #0,1,0
Current State: 99:[95, 10], Operations: ['15-1=14', '14-4=10']
Exploring Operation: 95*10=950, Resulting Numbers: [950]
950,99 unequal: No Solution
Exploring Operation: 95+10=105, Resulting Numbers: [105]
105,99 unequal: No Solution
Exploring Operation: 95-10=85, Resulting Numbers: [85]
85,99 unequal: No Solution
Moving to Node #0,2,0
Current State: 99:[15, 100], Operations: ['1+95=96', '4+96=100']
Exploring Operation: 100-15=85, Resulting Numbers: [85]
85,99 unequal: No Solution
Exploring Operation: 15*100=1500, Resulting Numbers: [1500]
1500,99 unequal: No Solution
Exploring Operation: 15+100=115, Resulting Numbers: [115]
115,99 unequal: No Solution
Moving to Node #0,2,2
Current State: 99:[15, 92], Operations: ['1+95=96', '96-4=92']
Exploring Operation: 15+92=107, Resulting Numbers: [107]
107,99 unequal: No Solution
Exploring Operation: 92-15=77, Resulting Numbers: [77]
77,99 unequal: No Solution
Exploring Operation: 15*92=1380, Resulting Numbers: [1380]
1380,99 unequal: No Solution
Moving to Node #0,2,1
Current State: 99:[96, 19], Operations: ['1+95=96', '15+4=19']
Exploring Operation: 96*19=1824, Resulting Numbers: [1824]
1824,99 unequal: No Solution
Exploring Operation: 96-19=77, Resulting Numbers: [77]
77,99 unequal: No Solution
Exploring Operation: 96+19=115, Resulting Numbers: [115]
115,99 unequal: No Solution
Moving to Node #0,1,1
Current State: 99:[14, 91], Operations: ['15-1=14', '95-4=91']
Exploring Operation: 91-14=77, Resulting Numbers: [77]
77,99 unequal: No Solution
Exploring Operation: 14+91=105, Resulting Numbers: [105]
105,99 unequal: No Solution
Exploring Operation: 14*91=1274, Resulting Numbers: [1274]
1274,99 unequal: No Solution
Moving to Node #0,1,2
Current State: 99:[4, 109], Operations: ['15-1=14', '95+14=109']
Exploring Operation: 4*109=436, Resulting Numbers: [436]
436,99 unequal: No Solution
Exploring Operation: 4+109=113, Resulting Numbers: [113]
113,99 unequal: No Solution
Exploring Operation: 109-4=105, Resulting Numbers: [105]
105,99 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
20,
35,
56,
44
] | 12 | [
"20*56=1120",
"1120/35=32",
"44-32=12"
] | Current State: 12:[20, 35, 56, 44], Operations: []
Exploring Operation: 20*56=1120, Resulting Numbers: [35, 44, 1120]
Generated Node #2: [35, 44, 1120] from Operation: 20*56=1120
Current State: 12:[35, 44, 1120], Operations: ['20*56=1120']
Exploring Operation: 1120/35=32, Resulting Numbers: [44, 32]
Generated Node #3: [44, 32] from Operation: 1120/35=32
Current State: 12:[44, 32], Operations: ['20*56=1120', '1120/35=32']
Exploring Operation: 44-32=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[20, 35, 56, 44], Operations: []
Exploring Operation: 56-35=21, Resulting Numbers: [20, 44, 21]
Generated Node #0,0: 12:[20, 44, 21] Operation: 56-35=21
Exploring Operation: 56-44=12, Resulting Numbers: [20, 35, 12]
Generated Node #0,1: 12:[20, 35, 12] Operation: 56-44=12
Start Sub Search at level 1: Moving to Node #0,1
Current State: 12:[20, 35, 12], Operations: ['56-44=12']
Exploring Operation: 35-12=23, Resulting Numbers: [20, 23]
Generated Node #0,1,0: 12:[20, 23] Operation: 35-12=23
Exploring Operation: 35-20=15, Resulting Numbers: [12, 15]
Generated Node #0,1,1: 12:[12, 15] Operation: 35-20=15
Moving to Node #0,1,1
Current State: 12:[12, 15], Operations: ['56-44=12', '35-20=15']
Exploring Operation: 12+15=27, Resulting Numbers: [27]
27,12 unequal: No Solution
Exploring Operation: 15-12=3, Resulting Numbers: [3]
3,12 unequal: No Solution
Moving to Node #0,1,0
Current State: 12:[20, 23], Operations: ['56-44=12', '35-12=23']
Exploring Operation: 23-20=3, Resulting Numbers: [3]
3,12 unequal: No Solution
Exploring Operation: 20+23=43, Resulting Numbers: [43]
43,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 12:[20, 44, 21], Operations: ['56-35=21']
Exploring Operation: 44-21=23, Resulting Numbers: [20, 23]
Generated Node #0,0,0: 12:[20, 23] Operation: 44-21=23
Exploring Operation: 44-20=24, Resulting Numbers: [21, 24]
Generated Node #0,0,1: 12:[21, 24] Operation: 44-20=24
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 12:[20, 23], Operations: ['56-35=21', '44-21=23']
Exploring Operation: 20+23=43, Resulting Numbers: [43]
43,12 unequal: No Solution
Exploring Operation: 23-20=3, Resulting Numbers: [3]
3,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 12:[21, 24], Operations: ['56-35=21', '44-20=24']
Exploring Operation: 21+24=45, Resulting Numbers: [45]
45,12 unequal: No Solution
Exploring Operation: 24-21=3, Resulting Numbers: [3]
3,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
69,
24,
26,
72
] | 54 | [
"72-69=3",
"26*3=78",
"78-24=54"
] | Current State: 54:[69, 24, 26, 72], Operations: []
Exploring Operation: 72-69=3, Resulting Numbers: [24, 26, 3]
Generated Node #2: [24, 26, 3] from Operation: 72-69=3
Current State: 54:[24, 26, 3], Operations: ['72-69=3']
Exploring Operation: 26*3=78, Resulting Numbers: [24, 78]
Generated Node #3: [24, 78] from Operation: 26*3=78
Current State: 54:[24, 78], Operations: ['72-69=3', '26*3=78']
Exploring Operation: 78-24=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[69, 24, 26, 72], Operations: []
Exploring Operation: 72-69=3, Resulting Numbers: [24, 26, 3]
Generated Node #0,0: 54:[24, 26, 3] Operation: 72-69=3
Exploring Operation: 72-24=48, Resulting Numbers: [69, 26, 48]
Generated Node #0,1: 54:[69, 26, 48] Operation: 72-24=48
Exploring Operation: 72/24=3, Resulting Numbers: [69, 26, 3]
Generated Node #0,2: 54:[69, 26, 3] Operation: 72/24=3
Moving to Node #0,0
Current State: 54:[24, 26, 3], Operations: ['72-69=3']
Exploring Operation: 24/3=8, Resulting Numbers: [26, 8]
Generated Node #0,0,0: 54:[26, 8] Operation: 24/3=8
Exploring Operation: 26-24=2, Resulting Numbers: [3, 2]
Generated Node #0,0,1: 54:[3, 2] Operation: 26-24=2
Exploring Operation: 24+3=27, Resulting Numbers: [26, 27]
Generated Node #0,0,2: 54:[26, 27] Operation: 24+3=27
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 54:[3, 2], Operations: ['72-69=3', '26-24=2']
Exploring Operation: 3+2=5, Resulting Numbers: [5]
5,54 unequal: No Solution
Exploring Operation: 3*2=6, Resulting Numbers: [6]
6,54 unequal: No Solution
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 54:[26, 27], Operations: ['72-69=3', '24+3=27']
Exploring Operation: 26+27=53, Resulting Numbers: [53]
53,54 unequal: No Solution
Exploring Operation: 27-26=1, Resulting Numbers: [1]
1,54 unequal: No Solution
Exploring Operation: 26*27=702, Resulting Numbers: [702]
702,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 54:[26, 8], Operations: ['72-69=3', '24/3=8']
Exploring Operation: 26-8=18, Resulting Numbers: [18]
18,54 unequal: No Solution
Exploring Operation: 26+8=34, Resulting Numbers: [34]
34,54 unequal: No Solution
Exploring Operation: 26*8=208, Resulting Numbers: [208]
208,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 54:[69, 26, 3], Operations: ['72/24=3']
Exploring Operation: 69-26=43, Resulting Numbers: [3, 43]
Generated Node #0,2,0: 54:[3, 43] Operation: 69-26=43
Exploring Operation: 69/3=23, Resulting Numbers: [26, 23]
Generated Node #0,2,1: 54:[26, 23] Operation: 69/3=23
Exploring Operation: 69-3=66, Resulting Numbers: [26, 66]
Generated Node #0,2,2: 54:[26, 66] Operation: 69-3=66
Moving to Node #0,1
Current State: 54:[69, 26, 48], Operations: ['72-24=48']
Exploring Operation: 69-26=43, Resulting Numbers: [48, 43]
Generated Node #0,1,0: 54:[48, 43] Operation: 69-26=43
Exploring Operation: 69-48=21, Resulting Numbers: [26, 21]
Generated Node #0,1,1: 54:[26, 21] Operation: 69-48=21
Exploring Operation: 48-26=22, Resulting Numbers: [69, 22]
Generated Node #0,1,2: 54:[69, 22] Operation: 48-26=22
Moving to Node #0,1,1
Current State: 54:[26, 21], Operations: ['72-24=48', '69-48=21']
Exploring Operation: 26+21=47, Resulting Numbers: [47]
47,54 unequal: No Solution
Exploring Operation: 26-21=5, Resulting Numbers: [5]
5,54 unequal: No Solution
Exploring Operation: 26*21=546, Resulting Numbers: [546]
546,54 unequal: No Solution
Moving to Node #0,2,1
Current State: 54:[26, 23], Operations: ['72/24=3', '69/3=23']
Exploring Operation: 26+23=49, Resulting Numbers: [49]
49,54 unequal: No Solution
Exploring Operation: 26*23=598, Resulting Numbers: [598]
598,54 unequal: No Solution
Exploring Operation: 26-23=3, Resulting Numbers: [3]
3,54 unequal: No Solution
Moving to Node #0,2,0
Current State: 54:[3, 43], Operations: ['72/24=3', '69-26=43']
Exploring Operation: 43-3=40, Resulting Numbers: [40]
40,54 unequal: No Solution
Exploring Operation: 3*43=129, Resulting Numbers: [129]
129,54 unequal: No Solution
Exploring Operation: 3+43=46, Resulting Numbers: [46]
46,54 unequal: No Solution
Moving to Node #0,2,2
Current State: 54:[26, 66], Operations: ['72/24=3', '69-3=66']
Exploring Operation: 26+66=92, Resulting Numbers: [92]
92,54 unequal: No Solution
Exploring Operation: 26*66=1716, Resulting Numbers: [1716]
1716,54 unequal: No Solution
Exploring Operation: 66-26=40, Resulting Numbers: [40]
40,54 unequal: No Solution
Moving to Node #0,1,0
Current State: 54:[48, 43], Operations: ['72-24=48', '69-26=43']
Exploring Operation: 48*43=2064, Resulting Numbers: [2064]
2064,54 unequal: No Solution
Exploring Operation: 48-43=5, Resulting Numbers: [5]
5,54 unequal: No Solution
Exploring Operation: 48+43=91, Resulting Numbers: [91]
91,54 unequal: No Solution
Moving to Node #0,1,2
Current State: 54:[69, 22], Operations: ['72-24=48', '48-26=22']
Exploring Operation: 69-22=47, Resulting Numbers: [47]
47,54 unequal: No Solution
Exploring Operation: 69+22=91, Resulting Numbers: [91]
91,54 unequal: No Solution
Exploring Operation: 69*22=1518, Resulting Numbers: [1518]
1518,54 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
4,
4,
35,
72
] | 99 | [
"4+4=8",
"35+72=107",
"107-8=99"
] | Current State: 99:[4, 4, 35, 72], Operations: []
Exploring Operation: 4+4=8, Resulting Numbers: [35, 72, 8]
Generated Node #2: [35, 72, 8] from Operation: 4+4=8
Current State: 99:[35, 72, 8], Operations: ['4+4=8']
Exploring Operation: 35+72=107, Resulting Numbers: [8, 107]
Generated Node #3: [8, 107] from Operation: 35+72=107
Current State: 99:[8, 107], Operations: ['4+4=8', '35+72=107']
Exploring Operation: 107-8=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[4, 4, 35, 72], Operations: []
Exploring Operation: 72/4=18, Resulting Numbers: [4, 35, 18]
Generated Node #0,0: 99:[4, 35, 18] Operation: 72/4=18
Exploring Operation: 72-35=37, Resulting Numbers: [4, 4, 37]
Generated Node #0,1: 99:[4, 4, 37] Operation: 72-35=37
Start Sub Search at level 1: Moving to Node #0,1
Current State: 99:[4, 4, 37], Operations: ['72-35=37']
Exploring Operation: 37-4=33, Resulting Numbers: [4, 33]
Generated Node #0,1,0: 99:[4, 33] Operation: 37-4=33
Exploring Operation: 37-4=33, Resulting Numbers: [4, 33]
Generated Node #0,1,1: 99:[4, 33] Operation: 37-4=33
Moving to Node #0,1,0
Current State: 99:[4, 33], Operations: ['72-35=37', '37-4=33']
Exploring Operation: 33-4=29, Resulting Numbers: [29]
29,99 unequal: No Solution
Exploring Operation: 4+33=37, Resulting Numbers: [37]
37,99 unequal: No Solution
Moving to Node #0,1,1
Current State: 99:[4, 33], Operations: ['72-35=37', '37-4=33']
Exploring Operation: 4+33=37, Resulting Numbers: [37]
37,99 unequal: No Solution
Exploring Operation: 33-4=29, Resulting Numbers: [29]
29,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 99:[4, 35, 18], Operations: ['72/4=18']
Exploring Operation: 35-18=17, Resulting Numbers: [4, 17]
Generated Node #0,0,0: 99:[4, 17] Operation: 35-18=17
Exploring Operation: 18-4=14, Resulting Numbers: [35, 14]
Generated Node #0,0,1: 99:[35, 14] Operation: 18-4=14
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 99:[35, 14], Operations: ['72/4=18', '18-4=14']
Exploring Operation: 35-14=21, Resulting Numbers: [21]
21,99 unequal: No Solution
Exploring Operation: 35+14=49, Resulting Numbers: [49]
49,99 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 99:[4, 17], Operations: ['72/4=18', '35-18=17']
Exploring Operation: 4+17=21, Resulting Numbers: [21]
21,99 unequal: No Solution
Exploring Operation: 17-4=13, Resulting Numbers: [13]
13,99 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
4,
70,
54,
22
] | 58 | [
"54-22=32",
"4*32=128",
"128-70=58"
] | Current State: 58:[4, 70, 54, 22], Operations: []
Exploring Operation: 54-22=32, Resulting Numbers: [4, 70, 32]
Generated Node #2: [4, 70, 32] from Operation: 54-22=32
Current State: 58:[4, 70, 32], Operations: ['54-22=32']
Exploring Operation: 4*32=128, Resulting Numbers: [70, 128]
Generated Node #3: [70, 128] from Operation: 4*32=128
Current State: 58:[70, 128], Operations: ['54-22=32', '4*32=128']
Exploring Operation: 128-70=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[4, 70, 54, 22], Operations: []
Exploring Operation: 54-22=32, Resulting Numbers: [4, 70, 32]
Generated Node #0,0: 58:[4, 70, 32] Operation: 54-22=32
Exploring Operation: 70-22=48, Resulting Numbers: [4, 54, 48]
Generated Node #0,1: 58:[4, 54, 48] Operation: 70-22=48
Start Sub Search at level 1: Moving to Node #0,1
Current State: 58:[4, 54, 48], Operations: ['70-22=48']
Exploring Operation: 4+54=58, Resulting Numbers: [48, 58]
Generated Node #0,1,0: 58:[48, 58] Operation: 4+54=58
Exploring Operation: 54-48=6, Resulting Numbers: [4, 6]
Generated Node #0,1,1: 58:[4, 6] Operation: 54-48=6
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 58:[4, 6], Operations: ['70-22=48', '54-48=6']
Exploring Operation: 6-4=2, Resulting Numbers: [2]
2,58 unequal: No Solution
Exploring Operation: 4*6=24, Resulting Numbers: [24]
24,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 58:[48, 58], Operations: ['70-22=48', '4+54=58']
Exploring Operation: 48+58=106, Resulting Numbers: [106]
106,58 unequal: No Solution
Exploring Operation: 58-48=10, Resulting Numbers: [10]
10,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 58:[4, 70, 32], Operations: ['54-22=32']
Exploring Operation: 70-32=38, Resulting Numbers: [4, 38]
Generated Node #0,0,0: 58:[4, 38] Operation: 70-32=38
Exploring Operation: 70-4=66, Resulting Numbers: [32, 66]
Generated Node #0,0,1: 58:[32, 66] Operation: 70-4=66
Moving to Node #0,0,0
Current State: 58:[4, 38], Operations: ['54-22=32', '70-32=38']
Exploring Operation: 4+38=42, Resulting Numbers: [42]
42,58 unequal: No Solution
Exploring Operation: 38-4=34, Resulting Numbers: [34]
34,58 unequal: No Solution
Moving to Node #0,0,1
Current State: 58:[32, 66], Operations: ['54-22=32', '70-4=66']
Exploring Operation: 32+66=98, Resulting Numbers: [98]
98,58 unequal: No Solution
Exploring Operation: 66-32=34, Resulting Numbers: [34]
34,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
19,
4,
16,
94
] | 18 | [
"19*16=304",
"304/4=76",
"94-76=18"
] | Current State: 18:[19, 4, 16, 94], Operations: []
Exploring Operation: 19*16=304, Resulting Numbers: [4, 94, 304]
Generated Node #2: [4, 94, 304] from Operation: 19*16=304
Current State: 18:[4, 94, 304], Operations: ['19*16=304']
Exploring Operation: 304/4=76, Resulting Numbers: [94, 76]
Generated Node #3: [94, 76] from Operation: 304/4=76
Current State: 18:[94, 76], Operations: ['19*16=304', '304/4=76']
Exploring Operation: 94-76=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[19, 4, 16, 94], Operations: []
Exploring Operation: 94-19=75, Resulting Numbers: [4, 16, 75]
Generated Node #0,0: 18:[4, 16, 75] Operation: 94-19=75
Moving to Node #0,0
Current State: 18:[4, 16, 75], Operations: ['94-19=75']
Exploring Operation: 75-16=59, Resulting Numbers: [4, 59]
Generated Node #0,0,0: 18:[4, 59] Operation: 75-16=59
Moving to Node #0,0,0
Current State: 18:[4, 59], Operations: ['94-19=75', '75-16=59']
Exploring Operation: 59-4=55, Resulting Numbers: [55]
55,18 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
52,
26,
75,
41
] | 58 | [
"52/26=2",
"75+41=116",
"116/2=58"
] | Current State: 58:[52, 26, 75, 41], Operations: []
Exploring Operation: 52/26=2, Resulting Numbers: [75, 41, 2]
Generated Node #2: [75, 41, 2] from Operation: 52/26=2
Current State: 58:[75, 41, 2], Operations: ['52/26=2']
Exploring Operation: 75+41=116, Resulting Numbers: [2, 116]
Generated Node #3: [2, 116] from Operation: 75+41=116
Current State: 58:[2, 116], Operations: ['52/26=2', '75+41=116']
Exploring Operation: 116/2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[52, 26, 75, 41], Operations: []
Exploring Operation: 75-52=23, Resulting Numbers: [26, 41, 23]
Generated Node #0,0: 58:[26, 41, 23] Operation: 75-52=23
Exploring Operation: 75-41=34, Resulting Numbers: [52, 26, 34]
Generated Node #0,1: 58:[52, 26, 34] Operation: 75-41=34
Exploring Operation: 75-26=49, Resulting Numbers: [52, 41, 49]
Generated Node #0,2: 58:[52, 41, 49] Operation: 75-26=49
Moving to Node #0,1
Current State: 58:[52, 26, 34], Operations: ['75-41=34']
Exploring Operation: 52/26=2, Resulting Numbers: [34, 2]
Generated Node #0,1,0: 58:[34, 2] Operation: 52/26=2
Exploring Operation: 52-26=26, Resulting Numbers: [34, 26]
Generated Node #0,1,1: 58:[34, 26] Operation: 52-26=26
Exploring Operation: 26+34=60, Resulting Numbers: [52, 60]
Generated Node #0,1,2: 58:[52, 60] Operation: 26+34=60
Moving to Node #0,0
Current State: 58:[26, 41, 23], Operations: ['75-52=23']
Exploring Operation: 41-23=18, Resulting Numbers: [26, 18]
Generated Node #0,0,0: 58:[26, 18] Operation: 41-23=18
Exploring Operation: 41+23=64, Resulting Numbers: [26, 64]
Generated Node #0,0,1: 58:[26, 64] Operation: 41+23=64
Exploring Operation: 26-23=3, Resulting Numbers: [41, 3]
Generated Node #0,0,2: 58:[41, 3] Operation: 26-23=3
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 58:[26, 64], Operations: ['75-52=23', '41+23=64']
Exploring Operation: 64-26=38, Resulting Numbers: [38]
38,58 unequal: No Solution
Exploring Operation: 26+64=90, Resulting Numbers: [90]
90,58 unequal: No Solution
Exploring Operation: 26*64=1664, Resulting Numbers: [1664]
1664,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 58:[41, 3], Operations: ['75-52=23', '26-23=3']
Exploring Operation: 41-3=38, Resulting Numbers: [38]
38,58 unequal: No Solution
Exploring Operation: 41+3=44, Resulting Numbers: [44]
44,58 unequal: No Solution
Exploring Operation: 41*3=123, Resulting Numbers: [123]
123,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 58:[26, 18], Operations: ['75-52=23', '41-23=18']
Exploring Operation: 26-18=8, Resulting Numbers: [8]
8,58 unequal: No Solution
Exploring Operation: 26*18=468, Resulting Numbers: [468]
468,58 unequal: No Solution
Exploring Operation: 26+18=44, Resulting Numbers: [44]
44,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 58:[52, 41, 49], Operations: ['75-26=49']
Exploring Operation: 52-41=11, Resulting Numbers: [49, 11]
Generated Node #0,2,0: 58:[49, 11] Operation: 52-41=11
Exploring Operation: 49-41=8, Resulting Numbers: [52, 8]
Generated Node #0,2,1: 58:[52, 8] Operation: 49-41=8
Exploring Operation: 52-49=3, Resulting Numbers: [41, 3]
Generated Node #0,2,2: 58:[41, 3] Operation: 52-49=3
Moving to Node #0,1,0
Current State: 58:[34, 2], Operations: ['75-41=34', '52/26=2']
Exploring Operation: 34+2=36, Resulting Numbers: [36]
36,58 unequal: No Solution
Exploring Operation: 34*2=68, Resulting Numbers: [68]
68,58 unequal: No Solution
Exploring Operation: 34-2=32, Resulting Numbers: [32]
32,58 unequal: No Solution
Moving to Node #0,1,2
Current State: 58:[52, 60], Operations: ['75-41=34', '26+34=60']
Exploring Operation: 52+60=112, Resulting Numbers: [112]
112,58 unequal: No Solution
Exploring Operation: 52*60=3120, Resulting Numbers: [3120]
3120,58 unequal: No Solution
Exploring Operation: 60-52=8, Resulting Numbers: [8]
8,58 unequal: No Solution
Moving to Node #0,1,1
Current State: 58:[34, 26], Operations: ['75-41=34', '52-26=26']
Exploring Operation: 34-26=8, Resulting Numbers: [8]
8,58 unequal: No Solution
Exploring Operation: 34*26=884, Resulting Numbers: [884]
884,58 unequal: No Solution
Exploring Operation: 34+26=60, Resulting Numbers: [60]
60,58 unequal: No Solution
Moving to Node #0,2,1
Current State: 58:[52, 8], Operations: ['75-26=49', '49-41=8']
Exploring Operation: 52-8=44, Resulting Numbers: [44]
44,58 unequal: No Solution
Exploring Operation: 52+8=60, Resulting Numbers: [60]
60,58 unequal: No Solution
Exploring Operation: 52*8=416, Resulting Numbers: [416]
416,58 unequal: No Solution
Moving to Node #0,2,2
Current State: 58:[41, 3], Operations: ['75-26=49', '52-49=3']
Exploring Operation: 41+3=44, Resulting Numbers: [44]
44,58 unequal: No Solution
Exploring Operation: 41-3=38, Resulting Numbers: [38]
38,58 unequal: No Solution
Exploring Operation: 41*3=123, Resulting Numbers: [123]
123,58 unequal: No Solution
Moving to Node #0,2,0
Current State: 58:[49, 11], Operations: ['75-26=49', '52-41=11']
Exploring Operation: 49+11=60, Resulting Numbers: [60]
60,58 unequal: No Solution
Exploring Operation: 49*11=539, Resulting Numbers: [539]
539,58 unequal: No Solution
Exploring Operation: 49-11=38, Resulting Numbers: [38]
38,58 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
4,
87,
25,
8
] | 37 | [
"8/4=2",
"25*2=50",
"87-50=37"
] | Current State: 37:[4, 87, 25, 8], Operations: []
Exploring Operation: 8/4=2, Resulting Numbers: [87, 25, 2]
Generated Node #2: [87, 25, 2] from Operation: 8/4=2
Current State: 37:[87, 25, 2], Operations: ['8/4=2']
Exploring Operation: 25*2=50, Resulting Numbers: [87, 50]
Generated Node #3: [87, 50] from Operation: 25*2=50
Current State: 37:[87, 50], Operations: ['8/4=2', '25*2=50']
Exploring Operation: 87-50=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[4, 87, 25, 8], Operations: []
Exploring Operation: 4*8=32, Resulting Numbers: [87, 25, 32]
Generated Node #0,0: 37:[87, 25, 32] Operation: 4*8=32
Start Sub Search at level 1: Moving to Node #0,0
Current State: 37:[87, 25, 32], Operations: ['4*8=32']
Exploring Operation: 87-25=62, Resulting Numbers: [32, 62]
Generated Node #0,0,0: 37:[32, 62] Operation: 87-25=62
Moving to Node #0,0,0
Current State: 37:[32, 62], Operations: ['4*8=32', '87-25=62']
Exploring Operation: 62-32=30, Resulting Numbers: [30]
30,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
70,
91,
73,
43
] | 38 | [
"73-70=3",
"43*3=129",
"129-91=38"
] | Current State: 38:[70, 91, 73, 43], Operations: []
Exploring Operation: 73-70=3, Resulting Numbers: [91, 43, 3]
Generated Node #2: [91, 43, 3] from Operation: 73-70=3
Current State: 38:[91, 43, 3], Operations: ['73-70=3']
Exploring Operation: 43*3=129, Resulting Numbers: [91, 129]
Generated Node #3: [91, 129] from Operation: 43*3=129
Current State: 38:[91, 129], Operations: ['73-70=3', '43*3=129']
Exploring Operation: 129-91=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[70, 91, 73, 43], Operations: []
Exploring Operation: 73-70=3, Resulting Numbers: [91, 43, 3]
Generated Node #0,0: 38:[91, 43, 3] Operation: 73-70=3
Exploring Operation: 91-43=48, Resulting Numbers: [70, 73, 48]
Generated Node #0,1: 38:[70, 73, 48] Operation: 91-43=48
Exploring Operation: 91-73=18, Resulting Numbers: [70, 43, 18]
Generated Node #0,2: 38:[70, 43, 18] Operation: 91-73=18
Exploring Operation: 73-43=30, Resulting Numbers: [70, 91, 30]
Generated Node #0,3: 38:[70, 91, 30] Operation: 73-43=30
Exploring Operation: 91-70=21, Resulting Numbers: [73, 43, 21]
Generated Node #0,4: 38:[73, 43, 21] Operation: 91-70=21
Start Sub Search at level 1: Moving to Node #0,2
Current State: 38:[70, 43, 18], Operations: ['91-73=18']
Exploring Operation: 43+18=61, Resulting Numbers: [70, 61]
Generated Node #0,2,0: 38:[70, 61] Operation: 43+18=61
Exploring Operation: 70+18=88, Resulting Numbers: [43, 88]
Generated Node #0,2,1: 38:[43, 88] Operation: 70+18=88
Exploring Operation: 70-18=52, Resulting Numbers: [43, 52]
Generated Node #0,2,2: 38:[43, 52] Operation: 70-18=52
Exploring Operation: 43-18=25, Resulting Numbers: [70, 25]
Generated Node #0,2,3: 38:[70, 25] Operation: 43-18=25
Exploring Operation: 70-43=27, Resulting Numbers: [18, 27]
Generated Node #0,2,4: 38:[18, 27] Operation: 70-43=27
Moving to Node #0,2,4
Current State: 38:[18, 27], Operations: ['91-73=18', '70-43=27']
Exploring Operation: 27-18=9, Resulting Numbers: [9]
9,38 unequal: No Solution
Exploring Operation: 18+27=45, Resulting Numbers: [45]
45,38 unequal: No Solution
Exploring Operation: 18*27=486, Resulting Numbers: [486]
486,38 unequal: No Solution
Moving to Node #0,2,2
Current State: 38:[43, 52], Operations: ['91-73=18', '70-18=52']
Exploring Operation: 52-43=9, Resulting Numbers: [9]
9,38 unequal: No Solution
Exploring Operation: 43*52=2236, Resulting Numbers: [2236]
2236,38 unequal: No Solution
Exploring Operation: 43+52=95, Resulting Numbers: [95]
95,38 unequal: No Solution
Moving to Node #0,2,3
Current State: 38:[70, 25], Operations: ['91-73=18', '43-18=25']
Exploring Operation: 70+25=95, Resulting Numbers: [95]
95,38 unequal: No Solution
Exploring Operation: 70*25=1750, Resulting Numbers: [1750]
1750,38 unequal: No Solution
Exploring Operation: 70-25=45, Resulting Numbers: [45]
45,38 unequal: No Solution
Moving to Node #0,2,0
Current State: 38:[70, 61], Operations: ['91-73=18', '43+18=61']
Exploring Operation: 70+61=131, Resulting Numbers: [131]
131,38 unequal: No Solution
Exploring Operation: 70*61=4270, Resulting Numbers: [4270]
4270,38 unequal: No Solution
Exploring Operation: 70-61=9, Resulting Numbers: [9]
9,38 unequal: No Solution
Moving to Node #0,2,1
Current State: 38:[43, 88], Operations: ['91-73=18', '70+18=88']
Exploring Operation: 88-43=45, Resulting Numbers: [45]
45,38 unequal: No Solution
Exploring Operation: 43+88=131, Resulting Numbers: [131]
131,38 unequal: No Solution
Exploring Operation: 43*88=3784, Resulting Numbers: [3784]
3784,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 38:[73, 43, 21], Operations: ['91-70=21']
Exploring Operation: 73+21=94, Resulting Numbers: [43, 94]
Generated Node #0,4,0: 38:[43, 94] Operation: 73+21=94
Exploring Operation: 73-43=30, Resulting Numbers: [21, 30]
Generated Node #0,4,1: 38:[21, 30] Operation: 73-43=30
Exploring Operation: 43+21=64, Resulting Numbers: [73, 64]
Generated Node #0,4,2: 38:[73, 64] Operation: 43+21=64
Exploring Operation: 73-21=52, Resulting Numbers: [43, 52]
Generated Node #0,4,3: 38:[43, 52] Operation: 73-21=52
Exploring Operation: 43-21=22, Resulting Numbers: [73, 22]
Generated Node #0,4,4: 38:[73, 22] Operation: 43-21=22
Moving to Node #0,4,1
Current State: 38:[21, 30], Operations: ['91-70=21', '73-43=30']
Exploring Operation: 21*30=630, Resulting Numbers: [630]
630,38 unequal: No Solution
Exploring Operation: 30-21=9, Resulting Numbers: [9]
9,38 unequal: No Solution
Exploring Operation: 21+30=51, Resulting Numbers: [51]
51,38 unequal: No Solution
Moving to Node #0,4,3
Current State: 38:[43, 52], Operations: ['91-70=21', '73-21=52']
Exploring Operation: 43+52=95, Resulting Numbers: [95]
95,38 unequal: No Solution
Exploring Operation: 52-43=9, Resulting Numbers: [9]
9,38 unequal: No Solution
Exploring Operation: 43*52=2236, Resulting Numbers: [2236]
2236,38 unequal: No Solution
Moving to Node #0,4,4
Current State: 38:[73, 22], Operations: ['91-70=21', '43-21=22']
Exploring Operation: 73-22=51, Resulting Numbers: [51]
51,38 unequal: No Solution
Exploring Operation: 73+22=95, Resulting Numbers: [95]
95,38 unequal: No Solution
Exploring Operation: 73*22=1606, Resulting Numbers: [1606]
1606,38 unequal: No Solution
Moving to Node #0,4,0
Current State: 38:[43, 94], Operations: ['91-70=21', '73+21=94']
Exploring Operation: 43+94=137, Resulting Numbers: [137]
137,38 unequal: No Solution
Exploring Operation: 94-43=51, Resulting Numbers: [51]
51,38 unequal: No Solution
Exploring Operation: 43*94=4042, Resulting Numbers: [4042]
4042,38 unequal: No Solution
Moving to Node #0,4,2
Current State: 38:[73, 64], Operations: ['91-70=21', '43+21=64']
Exploring Operation: 73*64=4672, Resulting Numbers: [4672]
4672,38 unequal: No Solution
Exploring Operation: 73-64=9, Resulting Numbers: [9]
9,38 unequal: No Solution
Exploring Operation: 73+64=137, Resulting Numbers: [137]
137,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 38:[91, 43, 3], Operations: ['73-70=3']
Exploring Operation: 43-3=40, Resulting Numbers: [91, 40]
Generated Node #0,0,0: 38:[91, 40] Operation: 43-3=40
Exploring Operation: 91-43=48, Resulting Numbers: [3, 48]
Generated Node #0,0,1: 38:[3, 48] Operation: 91-43=48
Exploring Operation: 91-3=88, Resulting Numbers: [43, 88]
Generated Node #0,0,2: 38:[43, 88] Operation: 91-3=88
Exploring Operation: 91+3=94, Resulting Numbers: [43, 94]
Generated Node #0,0,3: 38:[43, 94] Operation: 91+3=94
Exploring Operation: 43+3=46, Resulting Numbers: [91, 46]
Generated Node #0,0,4: 38:[91, 46] Operation: 43+3=46
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 38:[3, 48], Operations: ['73-70=3', '91-43=48']
Exploring Operation: 48-3=45, Resulting Numbers: [45]
45,38 unequal: No Solution
Exploring Operation: 3+48=51, Resulting Numbers: [51]
51,38 unequal: No Solution
Exploring Operation: 3*48=144, Resulting Numbers: [144]
144,38 unequal: No Solution
Exploring Operation: 48/3=16, Resulting Numbers: [16]
16,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 38:[91, 40], Operations: ['73-70=3', '43-3=40']
Exploring Operation: 91-40=51, Resulting Numbers: [51]
51,38 unequal: No Solution
Exploring Operation: 91*40=3640, Resulting Numbers: [3640]
3640,38 unequal: No Solution
Exploring Operation: 91+40=131, Resulting Numbers: [131]
131,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 38:[43, 88], Operations: ['73-70=3', '91-3=88']
Exploring Operation: 43+88=131, Resulting Numbers: [131]
131,38 unequal: No Solution
Exploring Operation: 88-43=45, Resulting Numbers: [45]
45,38 unequal: No Solution
Exploring Operation: 43*88=3784, Resulting Numbers: [3784]
3784,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 38:[43, 94], Operations: ['73-70=3', '91+3=94']
Exploring Operation: 94-43=51, Resulting Numbers: [51]
51,38 unequal: No Solution
Exploring Operation: 43+94=137, Resulting Numbers: [137]
137,38 unequal: No Solution
Exploring Operation: 43*94=4042, Resulting Numbers: [4042]
4042,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 38:[91, 46], Operations: ['73-70=3', '43+3=46']
Exploring Operation: 91-46=45, Resulting Numbers: [45]
45,38 unequal: No Solution
Exploring Operation: 91*46=4186, Resulting Numbers: [4186]
4186,38 unequal: No Solution
Exploring Operation: 91+46=137, Resulting Numbers: [137]
137,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 38:[70, 73, 48], Operations: ['91-43=48']
Exploring Operation: 70+48=118, Resulting Numbers: [73, 118]
Generated Node #0,1,0: 38:[73, 118] Operation: 70+48=118
Exploring Operation: 73-70=3, Resulting Numbers: [48, 3]
Generated Node #0,1,1: 38:[48, 3] Operation: 73-70=3
Exploring Operation: 73-48=25, Resulting Numbers: [70, 25]
Generated Node #0,1,2: 38:[70, 25] Operation: 73-48=25
Exploring Operation: 70+73=143, Resulting Numbers: [48, 143]
Generated Node #0,1,3: 38:[48, 143] Operation: 70+73=143
Exploring Operation: 70-48=22, Resulting Numbers: [73, 22]
Generated Node #0,1,4: 38:[73, 22] Operation: 70-48=22
Moving to Node #0,1,1
Current State: 38:[48, 3], Operations: ['91-43=48', '73-70=3']
Exploring Operation: 48/3=16, Resulting Numbers: [16]
16,38 unequal: No Solution
Exploring Operation: 48+3=51, Resulting Numbers: [51]
51,38 unequal: No Solution
Exploring Operation: 48-3=45, Resulting Numbers: [45]
45,38 unequal: No Solution
Exploring Operation: 48*3=144, Resulting Numbers: [144]
144,38 unequal: No Solution
Moving to Node #0,1,4
Current State: 38:[73, 22], Operations: ['91-43=48', '70-48=22']
Exploring Operation: 73+22=95, Resulting Numbers: [95]
95,38 unequal: No Solution
Exploring Operation: 73-22=51, Resulting Numbers: [51]
51,38 unequal: No Solution
Exploring Operation: 73*22=1606, Resulting Numbers: [1606]
1606,38 unequal: No Solution
Moving to Node #0,1,2
Current State: 38:[70, 25], Operations: ['91-43=48', '73-48=25']
Exploring Operation: 70-25=45, Resulting Numbers: [45]
45,38 unequal: No Solution
Exploring Operation: 70+25=95, Resulting Numbers: [95]
95,38 unequal: No Solution
Exploring Operation: 70*25=1750, Resulting Numbers: [1750]
1750,38 unequal: No Solution
Moving to Node #0,1,0
Current State: 38:[73, 118], Operations: ['91-43=48', '70+48=118']
Exploring Operation: 73*118=8614, Resulting Numbers: [8614]
8614,38 unequal: No Solution
Exploring Operation: 73+118=191, Resulting Numbers: [191]
191,38 unequal: No Solution
Exploring Operation: 118-73=45, Resulting Numbers: [45]
45,38 unequal: No Solution
Moving to Node #0,1,3
Current State: 38:[48, 143], Operations: ['91-43=48', '70+73=143']
Exploring Operation: 48+143=191, Resulting Numbers: [191]
191,38 unequal: No Solution
Exploring Operation: 48*143=6864, Resulting Numbers: [6864]
6864,38 unequal: No Solution
Exploring Operation: 143-48=95, Resulting Numbers: [95]
95,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 38:[70, 91, 30], Operations: ['73-43=30']
Exploring Operation: 91+30=121, Resulting Numbers: [70, 121]
Generated Node #0,3,0: 38:[70, 121] Operation: 91+30=121
Exploring Operation: 91-30=61, Resulting Numbers: [70, 61]
Generated Node #0,3,1: 38:[70, 61] Operation: 91-30=61
Exploring Operation: 70+30=100, Resulting Numbers: [91, 100]
Generated Node #0,3,2: 38:[91, 100] Operation: 70+30=100
Exploring Operation: 91-70=21, Resulting Numbers: [30, 21]
Generated Node #0,3,3: 38:[30, 21] Operation: 91-70=21
Exploring Operation: 70-30=40, Resulting Numbers: [91, 40]
Generated Node #0,3,4: 38:[91, 40] Operation: 70-30=40
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 38:[30, 21], Operations: ['73-43=30', '91-70=21']
Exploring Operation: 30-21=9, Resulting Numbers: [9]
9,38 unequal: No Solution
Exploring Operation: 30*21=630, Resulting Numbers: [630]
630,38 unequal: No Solution
Exploring Operation: 30+21=51, Resulting Numbers: [51]
51,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 38:[70, 61], Operations: ['73-43=30', '91-30=61']
Exploring Operation: 70-61=9, Resulting Numbers: [9]
9,38 unequal: No Solution
Exploring Operation: 70+61=131, Resulting Numbers: [131]
131,38 unequal: No Solution
Exploring Operation: 70*61=4270, Resulting Numbers: [4270]
4270,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 38:[91, 40], Operations: ['73-43=30', '70-30=40']
Exploring Operation: 91+40=131, Resulting Numbers: [131]
131,38 unequal: No Solution
Exploring Operation: 91*40=3640, Resulting Numbers: [3640]
3640,38 unequal: No Solution
Exploring Operation: 91-40=51, Resulting Numbers: [51]
51,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 38:[70, 121], Operations: ['73-43=30', '91+30=121']
Exploring Operation: 70+121=191, Resulting Numbers: [191]
191,38 unequal: No Solution
Exploring Operation: 70*121=8470, Resulting Numbers: [8470]
8470,38 unequal: No Solution
Exploring Operation: 121-70=51, Resulting Numbers: [51]
51,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 38:[91, 100], Operations: ['73-43=30', '70+30=100']
Exploring Operation: 100-91=9, Resulting Numbers: [9]
9,38 unequal: No Solution
Exploring Operation: 91+100=191, Resulting Numbers: [191]
191,38 unequal: No Solution
Exploring Operation: 91*100=9100, Resulting Numbers: [9100]
9100,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
11,
11,
44,
96
] | 99 | [
"44-11=33",
"33/11=3",
"96+3=99"
] | Current State: 99:[11, 11, 44, 96], Operations: []
Exploring Operation: 44-11=33, Resulting Numbers: [96, 33]
Generated Node #2: [96, 33] from Operation: 44-11=33
Current State: 99:[96, 33], Operations: ['44-11=33']
Exploring Operation: 33/11=3, Resulting Numbers: [96, 3]
Generated Node #3: [96, 3] from Operation: 33/11=3
Current State: 99:[96, 3], Operations: ['44-11=33', '33/11=3']
Exploring Operation: 96+3=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[11, 11, 44, 96], Operations: []
Exploring Operation: 44/11=4, Resulting Numbers: [11, 96, 4]
Generated Node #0,0: 99:[11, 96, 4] Operation: 44/11=4
Exploring Operation: 44/11=4, Resulting Numbers: [11, 96, 4]
Generated Node #0,1: 99:[11, 96, 4] Operation: 44/11=4
Exploring Operation: 44-11=33, Resulting Numbers: [11, 96, 33]
Generated Node #0,2: 99:[11, 96, 33] Operation: 44-11=33
Exploring Operation: 44-11=33, Resulting Numbers: [11, 96, 33]
Generated Node #0,3: 99:[11, 96, 33] Operation: 44-11=33
Moving to Node #0,2
Current State: 99:[11, 96, 33], Operations: ['44-11=33']
Exploring Operation: 33/11=3, Resulting Numbers: [96, 3]
Generated Node #0,2,0: 99:[96, 3] Operation: 33/11=3
Exploring Operation: 11+96=107, Resulting Numbers: [33, 107]
Generated Node #0,2,1: 99:[33, 107] Operation: 11+96=107
Exploring Operation: 96-11=85, Resulting Numbers: [33, 85]
Generated Node #0,2,2: 99:[33, 85] Operation: 96-11=85
Exploring Operation: 11+33=44, Resulting Numbers: [96, 44]
Generated Node #0,2,3: 99:[96, 44] Operation: 11+33=44
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 99:[96, 3], Operations: ['44-11=33', '33/11=3']
Exploring Operation: 96+3=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Moving to Node #0
Current State: 99:[11, 11, 44, 96], Operations: []
Exploring Operation: 44-11=33, Resulting Numbers: [11, 96, 33]
Generated Node #0,2: 99:[11, 96, 33] Operation: 44-11=33
Moving to Node #0,2
Current State: 99:[11, 96, 33], Operations: ['44-11=33']
Exploring Operation: 33/11=3, Resulting Numbers: [96, 3]
Generated Node #0,2,0: 99:[96, 3] Operation: 33/11=3
Moving to Node #0,2,0
Current State: 99:[96, 3], Operations: ['44-11=33', '33/11=3']
Exploring Operation: 96+3=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | sum_heuristic |
[
76,
71,
76,
96
] | 15 | [
"76-71=5",
"96-76=20",
"20-5=15"
] | Current State: 15:[76, 71, 76, 96], Operations: []
Exploring Operation: 76-71=5, Resulting Numbers: [96, 5]
Generated Node #2: [96, 5] from Operation: 76-71=5
Current State: 15:[96, 5], Operations: ['76-71=5']
Exploring Operation: 96-76=20, Resulting Numbers: [5, 20]
Generated Node #3: [5, 20] from Operation: 96-76=20
Current State: 15:[5, 20], Operations: ['76-71=5', '96-76=20']
Exploring Operation: 20-5=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[76, 71, 76, 96], Operations: []
Exploring Operation: 96-71=25, Resulting Numbers: [76, 76, 25]
Generated Node #0,0: 15:[76, 76, 25] Operation: 96-71=25
Exploring Operation: 96-76=20, Resulting Numbers: [71, 76, 20]
Generated Node #0,1: 15:[71, 76, 20] Operation: 96-76=20
Exploring Operation: 76-76=0, Resulting Numbers: [71, 96, 0]
Generated Node #0,2: 15:[71, 96, 0] Operation: 76-76=0
Exploring Operation: 96-76=20, Resulting Numbers: [76, 71, 20]
Generated Node #0,3: 15:[76, 71, 20] Operation: 96-76=20
Exploring Operation: 76/76=1, Resulting Numbers: [71, 96, 1]
Generated Node #0,4: 15:[71, 96, 1] Operation: 76/76=1
Moving to Node #0,1
Current State: 15:[71, 76, 20], Operations: ['96-76=20']
Exploring Operation: 76-20=56, Resulting Numbers: [71, 56]
Generated Node #0,1,0: 15:[71, 56] Operation: 76-20=56
Exploring Operation: 71+76=147, Resulting Numbers: [20, 147]
Generated Node #0,1,1: 15:[20, 147] Operation: 71+76=147
Exploring Operation: 71-20=51, Resulting Numbers: [76, 51]
Generated Node #0,1,2: 15:[76, 51] Operation: 71-20=51
Exploring Operation: 76-71=5, Resulting Numbers: [20, 5]
Generated Node #0,1,3: 15:[20, 5] Operation: 76-71=5
Exploring Operation: 71+20=91, Resulting Numbers: [76, 91]
Generated Node #0,1,4: 15:[76, 91] Operation: 71+20=91
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 15:[20, 5], Operations: ['96-76=20', '76-71=5']
Exploring Operation: 20+5=25, Resulting Numbers: [25]
25,15 unequal: No Solution
Exploring Operation: 20-5=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Moving to Node #0
Current State: 15:[76, 71, 76, 96], Operations: []
Exploring Operation: 96-76=20, Resulting Numbers: [71, 76, 20]
Generated Node #0,1: 15:[71, 76, 20] Operation: 96-76=20
Moving to Node #0,1
Current State: 15:[71, 76, 20], Operations: ['96-76=20']
Exploring Operation: 76-71=5, Resulting Numbers: [20, 5]
Generated Node #0,1,3: 15:[20, 5] Operation: 76-71=5
Moving to Node #0,1,3
Current State: 15:[20, 5], Operations: ['96-76=20', '76-71=5']
Exploring Operation: 20-5=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | mult_heuristic |
[
81,
13,
85,
88
] | 71 | [
"81-13=68",
"88-85=3",
"68+3=71"
] | Current State: 71:[81, 13, 85, 88], Operations: []
Exploring Operation: 81-13=68, Resulting Numbers: [85, 88, 68]
Generated Node #2: [85, 88, 68] from Operation: 81-13=68
Current State: 71:[85, 88, 68], Operations: ['81-13=68']
Exploring Operation: 88-85=3, Resulting Numbers: [68, 3]
Generated Node #3: [68, 3] from Operation: 88-85=3
Current State: 71:[68, 3], Operations: ['81-13=68', '88-85=3']
Exploring Operation: 68+3=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[81, 13, 85, 88], Operations: []
Exploring Operation: 85-13=72, Resulting Numbers: [81, 88, 72]
Generated Node #0,0: 71:[81, 88, 72] Operation: 85-13=72
Start Sub Search at level 1: Moving to Node #0,0
Current State: 71:[81, 88, 72], Operations: ['85-13=72']
Exploring Operation: 88-81=7, Resulting Numbers: [72, 7]
Generated Node #0,0,0: 71:[72, 7] Operation: 88-81=7
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 71:[72, 7], Operations: ['85-13=72', '88-81=7']
Exploring Operation: 72-7=65, Resulting Numbers: [65]
65,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
60,
45,
9,
92
] | 68 | [
"60-45=15",
"92-9=83",
"83-15=68"
] | Current State: 68:[60, 45, 9, 92], Operations: []
Exploring Operation: 60-45=15, Resulting Numbers: [9, 92, 15]
Generated Node #2: [9, 92, 15] from Operation: 60-45=15
Current State: 68:[9, 92, 15], Operations: ['60-45=15']
Exploring Operation: 92-9=83, Resulting Numbers: [15, 83]
Generated Node #3: [15, 83] from Operation: 92-9=83
Current State: 68:[15, 83], Operations: ['60-45=15', '92-9=83']
Exploring Operation: 83-15=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[60, 45, 9, 92], Operations: []
Exploring Operation: 92-45=47, Resulting Numbers: [60, 9, 47]
Generated Node #0,0: 68:[60, 9, 47] Operation: 92-45=47
Exploring Operation: 92-60=32, Resulting Numbers: [45, 9, 32]
Generated Node #0,1: 68:[45, 9, 32] Operation: 92-60=32
Exploring Operation: 60-45=15, Resulting Numbers: [9, 92, 15]
Generated Node #0,2: 68:[9, 92, 15] Operation: 60-45=15
Start Sub Search at level 1: Moving to Node #0,1
Current State: 68:[45, 9, 32], Operations: ['92-60=32']
Exploring Operation: 45-9=36, Resulting Numbers: [32, 36]
Generated Node #0,1,0: 68:[32, 36] Operation: 45-9=36
Exploring Operation: 45/9=5, Resulting Numbers: [32, 5]
Generated Node #0,1,1: 68:[32, 5] Operation: 45/9=5
Exploring Operation: 45-32=13, Resulting Numbers: [9, 13]
Generated Node #0,1,2: 68:[9, 13] Operation: 45-32=13
Moving to Node #0,1,1
Current State: 68:[32, 5], Operations: ['92-60=32', '45/9=5']
Exploring Operation: 32+5=37, Resulting Numbers: [37]
37,68 unequal: No Solution
Exploring Operation: 32-5=27, Resulting Numbers: [27]
27,68 unequal: No Solution
Exploring Operation: 32*5=160, Resulting Numbers: [160]
160,68 unequal: No Solution
Moving to Node #0,1,0
Current State: 68:[32, 36], Operations: ['92-60=32', '45-9=36']
Exploring Operation: 32*36=1152, Resulting Numbers: [1152]
1152,68 unequal: No Solution
Exploring Operation: 32+36=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Moving to Node #0
Current State: 68:[60, 45, 9, 92], Operations: []
Exploring Operation: 92-60=32, Resulting Numbers: [45, 9, 32]
Generated Node #0,1: 68:[45, 9, 32] Operation: 92-60=32
Moving to Node #0,1
Current State: 68:[45, 9, 32], Operations: ['92-60=32']
Exploring Operation: 45-9=36, Resulting Numbers: [32, 36]
Generated Node #0,1,0: 68:[32, 36] Operation: 45-9=36
Moving to Node #0,1,0
Current State: 68:[32, 36], Operations: ['92-60=32', '45-9=36']
Exploring Operation: 32+36=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_3 | mult_heuristic |
[
5,
15,
91,
81
] | 64 | [
"15/5=3",
"81/3=27",
"91-27=64"
] | Current State: 64:[5, 15, 91, 81], Operations: []
Exploring Operation: 15/5=3, Resulting Numbers: [91, 81, 3]
Generated Node #2: [91, 81, 3] from Operation: 15/5=3
Current State: 64:[91, 81, 3], Operations: ['15/5=3']
Exploring Operation: 81/3=27, Resulting Numbers: [91, 27]
Generated Node #3: [91, 27] from Operation: 81/3=27
Current State: 64:[91, 27], Operations: ['15/5=3', '81/3=27']
Exploring Operation: 91-27=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[5, 15, 91, 81], Operations: []
Exploring Operation: 91-15=76, Resulting Numbers: [5, 81, 76]
Generated Node #0,0: 64:[5, 81, 76] Operation: 91-15=76
Exploring Operation: 91-81=10, Resulting Numbers: [5, 15, 10]
Generated Node #0,1: 64:[5, 15, 10] Operation: 91-81=10
Exploring Operation: 81-15=66, Resulting Numbers: [5, 91, 66]
Generated Node #0,2: 64:[5, 91, 66] Operation: 81-15=66
Exploring Operation: 91-5=86, Resulting Numbers: [15, 81, 86]
Generated Node #0,3: 64:[15, 81, 86] Operation: 91-5=86
Exploring Operation: 81-5=76, Resulting Numbers: [15, 91, 76]
Generated Node #0,4: 64:[15, 91, 76] Operation: 81-5=76
Start Sub Search at level 1: Moving to Node #0,1
Current State: 64:[5, 15, 10], Operations: ['91-81=10']
Exploring Operation: 10/5=2, Resulting Numbers: [15, 2]
Generated Node #0,1,0: 64:[15, 2] Operation: 10/5=2
Exploring Operation: 10-5=5, Resulting Numbers: [15, 5]
Generated Node #0,1,1: 64:[15, 5] Operation: 10-5=5
Exploring Operation: 15/5=3, Resulting Numbers: [10, 3]
Generated Node #0,1,2: 64:[10, 3] Operation: 15/5=3
Exploring Operation: 15-10=5, Resulting Numbers: [5, 5]
Generated Node #0,1,3: 64:[5, 5] Operation: 15-10=5
Exploring Operation: 5+10=15, Resulting Numbers: [15, 15]
Generated Node #0,1,4: 64:[15, 15] Operation: 5+10=15
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 64:[15, 2], Operations: ['91-81=10', '10/5=2']
Exploring Operation: 15-2=13, Resulting Numbers: [13]
13,64 unequal: No Solution
Exploring Operation: 15+2=17, Resulting Numbers: [17]
17,64 unequal: No Solution
Exploring Operation: 15*2=30, Resulting Numbers: [30]
30,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 64:[15, 5], Operations: ['91-81=10', '10-5=5']
Exploring Operation: 15/5=3, Resulting Numbers: [3]
3,64 unequal: No Solution
Exploring Operation: 15-5=10, Resulting Numbers: [10]
10,64 unequal: No Solution
Exploring Operation: 15*5=75, Resulting Numbers: [75]
75,64 unequal: No Solution
Exploring Operation: 15+5=20, Resulting Numbers: [20]
20,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 64:[5, 5], Operations: ['91-81=10', '15-10=5']
Exploring Operation: 5*5=25, Resulting Numbers: [25]
25,64 unequal: No Solution
Exploring Operation: 5-5=0, Resulting Numbers: [0]
0,64 unequal: No Solution
Exploring Operation: 5+5=10, Resulting Numbers: [10]
10,64 unequal: No Solution
Exploring Operation: 5/5=1, Resulting Numbers: [1]
1,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 64:[15, 15], Operations: ['91-81=10', '5+10=15']
Exploring Operation: 15+15=30, Resulting Numbers: [30]
30,64 unequal: No Solution
Exploring Operation: 15/15=1, Resulting Numbers: [1]
1,64 unequal: No Solution
Exploring Operation: 15-15=0, Resulting Numbers: [0]
0,64 unequal: No Solution
Exploring Operation: 15*15=225, Resulting Numbers: [225]
225,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 64:[10, 3], Operations: ['91-81=10', '15/5=3']
Exploring Operation: 10*3=30, Resulting Numbers: [30]
30,64 unequal: No Solution
Exploring Operation: 10-3=7, Resulting Numbers: [7]
7,64 unequal: No Solution
Exploring Operation: 10+3=13, Resulting Numbers: [13]
13,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 64:[5, 81, 76], Operations: ['91-15=76']
Exploring Operation: 81-5=76, Resulting Numbers: [76, 76]
Generated Node #0,0,0: 64:[76, 76] Operation: 81-5=76
Exploring Operation: 5+81=86, Resulting Numbers: [76, 86]
Generated Node #0,0,1: 64:[76, 86] Operation: 5+81=86
Exploring Operation: 76-5=71, Resulting Numbers: [81, 71]
Generated Node #0,0,2: 64:[81, 71] Operation: 76-5=71
Exploring Operation: 81-76=5, Resulting Numbers: [5, 5]
Generated Node #0,0,3: 64:[5, 5] Operation: 81-76=5
Exploring Operation: 5+76=81, Resulting Numbers: [81, 81]
Generated Node #0,0,4: 64:[81, 81] Operation: 5+76=81
Moving to Node #0,0,3
Current State: 64:[5, 5], Operations: ['91-15=76', '81-76=5']
Exploring Operation: 5/5=1, Resulting Numbers: [1]
1,64 unequal: No Solution
Exploring Operation: 5*5=25, Resulting Numbers: [25]
25,64 unequal: No Solution
Exploring Operation: 5+5=10, Resulting Numbers: [10]
10,64 unequal: No Solution
Exploring Operation: 5-5=0, Resulting Numbers: [0]
0,64 unequal: No Solution
Moving to Node #0,0,2
Current State: 64:[81, 71], Operations: ['91-15=76', '76-5=71']
Exploring Operation: 81-71=10, Resulting Numbers: [10]
10,64 unequal: No Solution
Exploring Operation: 81+71=152, Resulting Numbers: [152]
152,64 unequal: No Solution
Exploring Operation: 81*71=5751, Resulting Numbers: [5751]
5751,64 unequal: No Solution
Moving to Node #0,0,0
Current State: 64:[76, 76], Operations: ['91-15=76', '81-5=76']
Exploring Operation: 76-76=0, Resulting Numbers: [0]
0,64 unequal: No Solution
Exploring Operation: 76+76=152, Resulting Numbers: [152]
152,64 unequal: No Solution
Exploring Operation: 76*76=5776, Resulting Numbers: [5776]
5776,64 unequal: No Solution
Exploring Operation: 76/76=1, Resulting Numbers: [1]
1,64 unequal: No Solution
Moving to Node #0,0,1
Current State: 64:[76, 86], Operations: ['91-15=76', '5+81=86']
Exploring Operation: 76+86=162, Resulting Numbers: [162]
162,64 unequal: No Solution
Exploring Operation: 76*86=6536, Resulting Numbers: [6536]
6536,64 unequal: No Solution
Exploring Operation: 86-76=10, Resulting Numbers: [10]
10,64 unequal: No Solution
Moving to Node #0,0,4
Current State: 64:[81, 81], Operations: ['91-15=76', '5+76=81']
Exploring Operation: 81-81=0, Resulting Numbers: [0]
0,64 unequal: No Solution
Exploring Operation: 81+81=162, Resulting Numbers: [162]
162,64 unequal: No Solution
Exploring Operation: 81*81=6561, Resulting Numbers: [6561]
6561,64 unequal: No Solution
Exploring Operation: 81/81=1, Resulting Numbers: [1]
1,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 64:[5, 91, 66], Operations: ['81-15=66']
Exploring Operation: 5+66=71, Resulting Numbers: [91, 71]
Generated Node #0,2,0: 64:[91, 71] Operation: 5+66=71
Exploring Operation: 5+91=96, Resulting Numbers: [66, 96]
Generated Node #0,2,1: 64:[66, 96] Operation: 5+91=96
Exploring Operation: 91-5=86, Resulting Numbers: [66, 86]
Generated Node #0,2,2: 64:[66, 86] Operation: 91-5=86
Exploring Operation: 91-66=25, Resulting Numbers: [5, 25]
Generated Node #0,2,3: 64:[5, 25] Operation: 91-66=25
Exploring Operation: 66-5=61, Resulting Numbers: [91, 61]
Generated Node #0,2,4: 64:[91, 61] Operation: 66-5=61
Moving to Node #0,2,3
Current State: 64:[5, 25], Operations: ['81-15=66', '91-66=25']
Exploring Operation: 25/5=5, Resulting Numbers: [5]
5,64 unequal: No Solution
Exploring Operation: 25-5=20, Resulting Numbers: [20]
20,64 unequal: No Solution
Exploring Operation: 5+25=30, Resulting Numbers: [30]
30,64 unequal: No Solution
Exploring Operation: 5*25=125, Resulting Numbers: [125]
125,64 unequal: No Solution
Moving to Node #0,2,2
Current State: 64:[66, 86], Operations: ['81-15=66', '91-5=86']
Exploring Operation: 66*86=5676, Resulting Numbers: [5676]
5676,64 unequal: No Solution
Exploring Operation: 86-66=20, Resulting Numbers: [20]
20,64 unequal: No Solution
Exploring Operation: 66+86=152, Resulting Numbers: [152]
152,64 unequal: No Solution
Moving to Node #0,2,4
Current State: 64:[91, 61], Operations: ['81-15=66', '66-5=61']
Exploring Operation: 91-61=30, Resulting Numbers: [30]
30,64 unequal: No Solution
Exploring Operation: 91+61=152, Resulting Numbers: [152]
152,64 unequal: No Solution
Exploring Operation: 91*61=5551, Resulting Numbers: [5551]
5551,64 unequal: No Solution
Moving to Node #0,2,0
Current State: 64:[91, 71], Operations: ['81-15=66', '5+66=71']
Exploring Operation: 91*71=6461, Resulting Numbers: [6461]
6461,64 unequal: No Solution
Exploring Operation: 91+71=162, Resulting Numbers: [162]
162,64 unequal: No Solution
Exploring Operation: 91-71=20, Resulting Numbers: [20]
20,64 unequal: No Solution
Moving to Node #0,2,1
Current State: 64:[66, 96], Operations: ['81-15=66', '5+91=96']
Exploring Operation: 66*96=6336, Resulting Numbers: [6336]
6336,64 unequal: No Solution
Exploring Operation: 66+96=162, Resulting Numbers: [162]
162,64 unequal: No Solution
Exploring Operation: 96-66=30, Resulting Numbers: [30]
30,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 64:[15, 81, 86], Operations: ['91-5=86']
Exploring Operation: 86-81=5, Resulting Numbers: [15, 5]
Generated Node #0,3,0: 64:[15, 5] Operation: 86-81=5
Exploring Operation: 81-15=66, Resulting Numbers: [86, 66]
Generated Node #0,3,1: 64:[86, 66] Operation: 81-15=66
Exploring Operation: 15+86=101, Resulting Numbers: [81, 101]
Generated Node #0,3,2: 64:[81, 101] Operation: 15+86=101
Exploring Operation: 15+81=96, Resulting Numbers: [86, 96]
Generated Node #0,3,3: 64:[86, 96] Operation: 15+81=96
Exploring Operation: 86-15=71, Resulting Numbers: [81, 71]
Generated Node #0,3,4: 64:[81, 71] Operation: 86-15=71
Moving to Node #0,3,0
Current State: 64:[15, 5], Operations: ['91-5=86', '86-81=5']
Exploring Operation: 15*5=75, Resulting Numbers: [75]
75,64 unequal: No Solution
Exploring Operation: 15-5=10, Resulting Numbers: [10]
10,64 unequal: No Solution
Exploring Operation: 15+5=20, Resulting Numbers: [20]
20,64 unequal: No Solution
Exploring Operation: 15/5=3, Resulting Numbers: [3]
3,64 unequal: No Solution
Moving to Node #0,3,4
Current State: 64:[81, 71], Operations: ['91-5=86', '86-15=71']
Exploring Operation: 81*71=5751, Resulting Numbers: [5751]
5751,64 unequal: No Solution
Exploring Operation: 81+71=152, Resulting Numbers: [152]
152,64 unequal: No Solution
Exploring Operation: 81-71=10, Resulting Numbers: [10]
10,64 unequal: No Solution
Moving to Node #0,3,1
Current State: 64:[86, 66], Operations: ['91-5=86', '81-15=66']
Exploring Operation: 86*66=5676, Resulting Numbers: [5676]
5676,64 unequal: No Solution
Exploring Operation: 86+66=152, Resulting Numbers: [152]
152,64 unequal: No Solution
Exploring Operation: 86-66=20, Resulting Numbers: [20]
20,64 unequal: No Solution
Moving to Node #0,3,2
Current State: 64:[81, 101], Operations: ['91-5=86', '15+86=101']
Exploring Operation: 101-81=20, Resulting Numbers: [20]
20,64 unequal: No Solution
Exploring Operation: 81*101=8181, Resulting Numbers: [8181]
8181,64 unequal: No Solution
Exploring Operation: 81+101=182, Resulting Numbers: [182]
182,64 unequal: No Solution
Moving to Node #0,3,3
Current State: 64:[86, 96], Operations: ['91-5=86', '15+81=96']
Exploring Operation: 96-86=10, Resulting Numbers: [10]
10,64 unequal: No Solution
Exploring Operation: 86+96=182, Resulting Numbers: [182]
182,64 unequal: No Solution
Exploring Operation: 86*96=8256, Resulting Numbers: [8256]
8256,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 64:[15, 91, 76], Operations: ['81-5=76']
Exploring Operation: 15+76=91, Resulting Numbers: [91, 91]
Generated Node #0,4,0: 64:[91, 91] Operation: 15+76=91
Exploring Operation: 91-15=76, Resulting Numbers: [76, 76]
Generated Node #0,4,1: 64:[76, 76] Operation: 91-15=76
Exploring Operation: 76-15=61, Resulting Numbers: [91, 61]
Generated Node #0,4,2: 64:[91, 61] Operation: 76-15=61
Exploring Operation: 91-76=15, Resulting Numbers: [15, 15]
Generated Node #0,4,3: 64:[15, 15] Operation: 91-76=15
Exploring Operation: 15+91=106, Resulting Numbers: [76, 106]
Generated Node #0,4,4: 64:[76, 106] Operation: 15+91=106
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 64:[15, 15], Operations: ['81-5=76', '91-76=15']
Exploring Operation: 15+15=30, Resulting Numbers: [30]
30,64 unequal: No Solution
Exploring Operation: 15*15=225, Resulting Numbers: [225]
225,64 unequal: No Solution
Exploring Operation: 15/15=1, Resulting Numbers: [1]
1,64 unequal: No Solution
Exploring Operation: 15-15=0, Resulting Numbers: [0]
0,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 64:[76, 76], Operations: ['81-5=76', '91-15=76']
Exploring Operation: 76-76=0, Resulting Numbers: [0]
0,64 unequal: No Solution
Exploring Operation: 76*76=5776, Resulting Numbers: [5776]
5776,64 unequal: No Solution
Exploring Operation: 76+76=152, Resulting Numbers: [152]
152,64 unequal: No Solution
Exploring Operation: 76/76=1, Resulting Numbers: [1]
1,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 64:[91, 61], Operations: ['81-5=76', '76-15=61']
Exploring Operation: 91+61=152, Resulting Numbers: [152]
152,64 unequal: No Solution
Exploring Operation: 91-61=30, Resulting Numbers: [30]
30,64 unequal: No Solution
Exploring Operation: 91*61=5551, Resulting Numbers: [5551]
5551,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 64:[91, 91], Operations: ['81-5=76', '15+76=91']
Exploring Operation: 91-91=0, Resulting Numbers: [0]
0,64 unequal: No Solution
Exploring Operation: 91/91=1, Resulting Numbers: [1]
1,64 unequal: No Solution
Exploring Operation: 91*91=8281, Resulting Numbers: [8281]
8281,64 unequal: No Solution
Exploring Operation: 91+91=182, Resulting Numbers: [182]
182,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 64:[76, 106], Operations: ['81-5=76', '15+91=106']
Exploring Operation: 76+106=182, Resulting Numbers: [182]
182,64 unequal: No Solution
Exploring Operation: 76*106=8056, Resulting Numbers: [8056]
8056,64 unequal: No Solution
Exploring Operation: 106-76=30, Resulting Numbers: [30]
30,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
99,
90,
27,
53
] | 50 | [
"99-90=9",
"27/9=3",
"53-3=50"
] | Current State: 50:[99, 90, 27, 53], Operations: []
Exploring Operation: 99-90=9, Resulting Numbers: [27, 53, 9]
Generated Node #2: [27, 53, 9] from Operation: 99-90=9
Current State: 50:[27, 53, 9], Operations: ['99-90=9']
Exploring Operation: 27/9=3, Resulting Numbers: [53, 3]
Generated Node #3: [53, 3] from Operation: 27/9=3
Current State: 50:[53, 3], Operations: ['99-90=9', '27/9=3']
Exploring Operation: 53-3=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[99, 90, 27, 53], Operations: []
Exploring Operation: 90-53=37, Resulting Numbers: [99, 27, 37]
Generated Node #0,0: 50:[99, 27, 37] Operation: 90-53=37
Exploring Operation: 99-53=46, Resulting Numbers: [90, 27, 46]
Generated Node #0,1: 50:[90, 27, 46] Operation: 99-53=46
Exploring Operation: 99-90=9, Resulting Numbers: [27, 53, 9]
Generated Node #0,2: 50:[27, 53, 9] Operation: 99-90=9
Moving to Node #0,2
Current State: 50:[27, 53, 9], Operations: ['99-90=9']
Exploring Operation: 53-9=44, Resulting Numbers: [27, 44]
Generated Node #0,2,0: 50:[27, 44] Operation: 53-9=44
Exploring Operation: 27/9=3, Resulting Numbers: [53, 3]
Generated Node #0,2,1: 50:[53, 3] Operation: 27/9=3
Exploring Operation: 53-27=26, Resulting Numbers: [9, 26]
Generated Node #0,2,2: 50:[9, 26] Operation: 53-27=26
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 50:[9, 26], Operations: ['99-90=9', '53-27=26']
Exploring Operation: 26-9=17, Resulting Numbers: [17]
17,50 unequal: No Solution
Exploring Operation: 9+26=35, Resulting Numbers: [35]
35,50 unequal: No Solution
Exploring Operation: 9*26=234, Resulting Numbers: [234]
234,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 50:[53, 3], Operations: ['99-90=9', '27/9=3']
Exploring Operation: 53+3=56, Resulting Numbers: [56]
56,50 unequal: No Solution
Exploring Operation: 53-3=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Moving to Node #0
Current State: 50:[99, 90, 27, 53], Operations: []
Exploring Operation: 99-90=9, Resulting Numbers: [27, 53, 9]
Generated Node #0,2: 50:[27, 53, 9] Operation: 99-90=9
Moving to Node #0,2
Current State: 50:[27, 53, 9], Operations: ['99-90=9']
Exploring Operation: 27/9=3, Resulting Numbers: [53, 3]
Generated Node #0,2,1: 50:[53, 3] Operation: 27/9=3
Moving to Node #0,2,1
Current State: 50:[53, 3], Operations: ['99-90=9', '27/9=3']
Exploring Operation: 53-3=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_3 | sum_heuristic |
[
2,
48,
5,
35
] | 36 | [
"48+5=53",
"53-35=18",
"2*18=36"
] | Current State: 36:[2, 48, 5, 35], Operations: []
Exploring Operation: 48+5=53, Resulting Numbers: [2, 35, 53]
Generated Node #2: [2, 35, 53] from Operation: 48+5=53
Current State: 36:[2, 35, 53], Operations: ['48+5=53']
Exploring Operation: 53-35=18, Resulting Numbers: [2, 18]
Generated Node #3: [2, 18] from Operation: 53-35=18
Current State: 36:[2, 18], Operations: ['48+5=53', '53-35=18']
Exploring Operation: 2*18=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[2, 48, 5, 35], Operations: []
Exploring Operation: 48/2=24, Resulting Numbers: [5, 35, 24]
Generated Node #0,0: 36:[5, 35, 24] Operation: 48/2=24
Exploring Operation: 48-2=46, Resulting Numbers: [5, 35, 46]
Generated Node #0,1: 36:[5, 35, 46] Operation: 48-2=46
Exploring Operation: 48-5=43, Resulting Numbers: [2, 35, 43]
Generated Node #0,2: 36:[2, 35, 43] Operation: 48-5=43
Exploring Operation: 48-35=13, Resulting Numbers: [2, 5, 13]
Generated Node #0,3: 36:[2, 5, 13] Operation: 48-35=13
Start Sub Search at level 1: Moving to Node #0,3
Current State: 36:[2, 5, 13], Operations: ['48-35=13']
Exploring Operation: 13-5=8, Resulting Numbers: [2, 8]
Generated Node #0,3,0: 36:[2, 8] Operation: 13-5=8
Exploring Operation: 2+5=7, Resulting Numbers: [13, 7]
Generated Node #0,3,1: 36:[13, 7] Operation: 2+5=7
Exploring Operation: 5+13=18, Resulting Numbers: [2, 18]
Generated Node #0,3,2: 36:[2, 18] Operation: 5+13=18
Exploring Operation: 5-2=3, Resulting Numbers: [13, 3]
Generated Node #0,3,3: 36:[13, 3] Operation: 5-2=3
Moving to Node #0,3,2
Current State: 36:[2, 18], Operations: ['48-35=13', '5+13=18']
Exploring Operation: 2*18=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Moving to Node #0
Current State: 36:[2, 48, 5, 35], Operations: []
Exploring Operation: 48-35=13, Resulting Numbers: [2, 5, 13]
Generated Node #0,3: 36:[2, 5, 13] Operation: 48-35=13
Moving to Node #0,3
Current State: 36:[2, 5, 13], Operations: ['48-35=13']
Exploring Operation: 5+13=18, Resulting Numbers: [2, 18]
Generated Node #0,3,2: 36:[2, 18] Operation: 5+13=18
Moving to Node #0,3,2
Current State: 36:[2, 18], Operations: ['48-35=13', '5+13=18']
Exploring Operation: 2*18=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | mult_heuristic |
[
98,
3,
62,
17
] | 35 | [
"98-17=81",
"81/3=27",
"62-27=35"
] | Current State: 35:[98, 3, 62, 17], Operations: []
Exploring Operation: 98-17=81, Resulting Numbers: [3, 62, 81]
Generated Node #2: [3, 62, 81] from Operation: 98-17=81
Current State: 35:[3, 62, 81], Operations: ['98-17=81']
Exploring Operation: 81/3=27, Resulting Numbers: [62, 27]
Generated Node #3: [62, 27] from Operation: 81/3=27
Current State: 35:[62, 27], Operations: ['98-17=81', '81/3=27']
Exploring Operation: 62-27=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[98, 3, 62, 17], Operations: []
Exploring Operation: 98-62=36, Resulting Numbers: [3, 17, 36]
Generated Node #0,0: 35:[3, 17, 36] Operation: 98-62=36
Exploring Operation: 62-17=45, Resulting Numbers: [98, 3, 45]
Generated Node #0,1: 35:[98, 3, 45] Operation: 62-17=45
Exploring Operation: 98-17=81, Resulting Numbers: [3, 62, 81]
Generated Node #0,2: 35:[3, 62, 81] Operation: 98-17=81
Moving to Node #0,0
Current State: 35:[3, 17, 36], Operations: ['98-62=36']
Exploring Operation: 17-3=14, Resulting Numbers: [36, 14]
Generated Node #0,0,0: 35:[36, 14] Operation: 17-3=14
Exploring Operation: 3+17=20, Resulting Numbers: [36, 20]
Generated Node #0,0,1: 35:[36, 20] Operation: 3+17=20
Exploring Operation: 36-3=33, Resulting Numbers: [17, 33]
Generated Node #0,0,2: 35:[17, 33] Operation: 36-3=33
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 35:[36, 14], Operations: ['98-62=36', '17-3=14']
Exploring Operation: 36-14=22, Resulting Numbers: [22]
22,35 unequal: No Solution
Exploring Operation: 36+14=50, Resulting Numbers: [50]
50,35 unequal: No Solution
Exploring Operation: 36*14=504, Resulting Numbers: [504]
504,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 35:[17, 33], Operations: ['98-62=36', '36-3=33']
Exploring Operation: 17+33=50, Resulting Numbers: [50]
50,35 unequal: No Solution
Exploring Operation: 17*33=561, Resulting Numbers: [561]
561,35 unequal: No Solution
Exploring Operation: 33-17=16, Resulting Numbers: [16]
16,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 35:[36, 20], Operations: ['98-62=36', '3+17=20']
Exploring Operation: 36+20=56, Resulting Numbers: [56]
56,35 unequal: No Solution
Exploring Operation: 36*20=720, Resulting Numbers: [720]
720,35 unequal: No Solution
Exploring Operation: 36-20=16, Resulting Numbers: [16]
16,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 35:[98, 3, 45], Operations: ['62-17=45']
Exploring Operation: 98-3=95, Resulting Numbers: [45, 95]
Generated Node #0,1,0: 35:[45, 95] Operation: 98-3=95
Exploring Operation: 98-45=53, Resulting Numbers: [3, 53]
Generated Node #0,1,1: 35:[3, 53] Operation: 98-45=53
Exploring Operation: 45-3=42, Resulting Numbers: [98, 42]
Generated Node #0,1,2: 35:[98, 42] Operation: 45-3=42
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 35:[3, 53], Operations: ['62-17=45', '98-45=53']
Exploring Operation: 3*53=159, Resulting Numbers: [159]
159,35 unequal: No Solution
Exploring Operation: 53-3=50, Resulting Numbers: [50]
50,35 unequal: No Solution
Exploring Operation: 3+53=56, Resulting Numbers: [56]
56,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 35:[45, 95], Operations: ['62-17=45', '98-3=95']
Exploring Operation: 45*95=4275, Resulting Numbers: [4275]
4275,35 unequal: No Solution
Exploring Operation: 95-45=50, Resulting Numbers: [50]
50,35 unequal: No Solution
Exploring Operation: 45+95=140, Resulting Numbers: [140]
140,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 35:[98, 42], Operations: ['62-17=45', '45-3=42']
Exploring Operation: 98+42=140, Resulting Numbers: [140]
140,35 unequal: No Solution
Exploring Operation: 98-42=56, Resulting Numbers: [56]
56,35 unequal: No Solution
Exploring Operation: 98*42=4116, Resulting Numbers: [4116]
4116,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 35:[3, 62, 81], Operations: ['98-17=81']
Exploring Operation: 81-62=19, Resulting Numbers: [3, 19]
Generated Node #0,2,0: 35:[3, 19] Operation: 81-62=19
Exploring Operation: 81/3=27, Resulting Numbers: [62, 27]
Generated Node #0,2,1: 35:[62, 27] Operation: 81/3=27
Exploring Operation: 62-3=59, Resulting Numbers: [81, 59]
Generated Node #0,2,2: 35:[81, 59] Operation: 62-3=59
Moving to Node #0,2,0
Current State: 35:[3, 19], Operations: ['98-17=81', '81-62=19']
Exploring Operation: 3*19=57, Resulting Numbers: [57]
57,35 unequal: No Solution
Exploring Operation: 19-3=16, Resulting Numbers: [16]
16,35 unequal: No Solution
Exploring Operation: 3+19=22, Resulting Numbers: [22]
22,35 unequal: No Solution
Moving to Node #0,2,1
Current State: 35:[62, 27], Operations: ['98-17=81', '81/3=27']
Exploring Operation: 62-27=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[98, 3, 62, 17], Operations: []
Exploring Operation: 98-17=81, Resulting Numbers: [3, 62, 81]
Generated Node #0,2: 35:[3, 62, 81] Operation: 98-17=81
Moving to Node #0,2
Current State: 35:[3, 62, 81], Operations: ['98-17=81']
Exploring Operation: 81/3=27, Resulting Numbers: [62, 27]
Generated Node #0,2,1: 35:[62, 27] Operation: 81/3=27
Moving to Node #0,2,1
Current State: 35:[62, 27], Operations: ['98-17=81', '81/3=27']
Exploring Operation: 62-27=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 0.967014 | hs_3 | mult_heuristic |
[
59,
65,
75,
81
] | 84 | [
"65*75=4875",
"81+4875=4956",
"4956/59=84"
] | Current State: 84:[59, 65, 75, 81], Operations: []
Exploring Operation: 65*75=4875, Resulting Numbers: [59, 81, 4875]
Generated Node #2: [59, 81, 4875] from Operation: 65*75=4875
Current State: 84:[59, 81, 4875], Operations: ['65*75=4875']
Exploring Operation: 81+4875=4956, Resulting Numbers: [59, 4956]
Generated Node #3: [59, 4956] from Operation: 81+4875=4956
Current State: 84:[59, 4956], Operations: ['65*75=4875', '81+4875=4956']
Exploring Operation: 4956/59=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[59, 65, 75, 81], Operations: []
Exploring Operation: 81-65=16, Resulting Numbers: [59, 75, 16]
Generated Node #0,0: 84:[59, 75, 16] Operation: 81-65=16
Exploring Operation: 75-65=10, Resulting Numbers: [59, 81, 10]
Generated Node #0,1: 84:[59, 81, 10] Operation: 75-65=10
Exploring Operation: 75-59=16, Resulting Numbers: [65, 81, 16]
Generated Node #0,2: 84:[65, 81, 16] Operation: 75-59=16
Exploring Operation: 65-59=6, Resulting Numbers: [75, 81, 6]
Generated Node #0,3: 84:[75, 81, 6] Operation: 65-59=6
Moving to Node #0,3
Current State: 84:[75, 81, 6], Operations: ['65-59=6']
Exploring Operation: 75-6=69, Resulting Numbers: [81, 69]
Generated Node #0,3,0: 84:[81, 69] Operation: 75-6=69
Exploring Operation: 75+6=81, Resulting Numbers: [81, 81]
Generated Node #0,3,1: 84:[81, 81] Operation: 75+6=81
Exploring Operation: 81+6=87, Resulting Numbers: [75, 87]
Generated Node #0,3,2: 84:[75, 87] Operation: 81+6=87
Exploring Operation: 81-75=6, Resulting Numbers: [6, 6]
Generated Node #0,3,3: 84:[6, 6] Operation: 81-75=6
Moving to Node #0,1
Current State: 84:[59, 81, 10], Operations: ['75-65=10']
Exploring Operation: 81-59=22, Resulting Numbers: [10, 22]
Generated Node #0,1,0: 84:[10, 22] Operation: 81-59=22
Exploring Operation: 81+10=91, Resulting Numbers: [59, 91]
Generated Node #0,1,1: 84:[59, 91] Operation: 81+10=91
Exploring Operation: 59-10=49, Resulting Numbers: [81, 49]
Generated Node #0,1,2: 84:[81, 49] Operation: 59-10=49
Exploring Operation: 59+10=69, Resulting Numbers: [81, 69]
Generated Node #0,1,3: 84:[81, 69] Operation: 59+10=69
Moving to Node #0,2
Current State: 84:[65, 81, 16], Operations: ['75-59=16']
Exploring Operation: 81-65=16, Resulting Numbers: [16, 16]
Generated Node #0,2,0: 84:[16, 16] Operation: 81-65=16
Exploring Operation: 81+16=97, Resulting Numbers: [65, 97]
Generated Node #0,2,1: 84:[65, 97] Operation: 81+16=97
Exploring Operation: 65-16=49, Resulting Numbers: [81, 49]
Generated Node #0,2,2: 84:[81, 49] Operation: 65-16=49
Exploring Operation: 65+16=81, Resulting Numbers: [81, 81]
Generated Node #0,2,3: 84:[81, 81] Operation: 65+16=81
Moving to Node #0,0
Current State: 84:[59, 75, 16], Operations: ['81-65=16']
Exploring Operation: 59+16=75, Resulting Numbers: [75, 75]
Generated Node #0,0,0: 84:[75, 75] Operation: 59+16=75
Exploring Operation: 75+16=91, Resulting Numbers: [59, 91]
Generated Node #0,0,1: 84:[59, 91] Operation: 75+16=91
Exploring Operation: 59-16=43, Resulting Numbers: [75, 43]
Generated Node #0,0,2: 84:[75, 43] Operation: 59-16=43
Exploring Operation: 75-59=16, Resulting Numbers: [16, 16]
Generated Node #0,0,3: 84:[16, 16] Operation: 75-59=16
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 84:[16, 16], Operations: ['81-65=16', '75-59=16']
Exploring Operation: 16/16=1, Resulting Numbers: [1]
1,84 unequal: No Solution
Exploring Operation: 16*16=256, Resulting Numbers: [256]
256,84 unequal: No Solution
Exploring Operation: 16+16=32, Resulting Numbers: [32]
32,84 unequal: No Solution
Exploring Operation: 16-16=0, Resulting Numbers: [0]
0,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 84:[75, 43], Operations: ['81-65=16', '59-16=43']
Exploring Operation: 75-43=32, Resulting Numbers: [32]
32,84 unequal: No Solution
Exploring Operation: 75+43=118, Resulting Numbers: [118]
118,84 unequal: No Solution
Exploring Operation: 75*43=3225, Resulting Numbers: [3225]
3225,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 84:[75, 75], Operations: ['81-65=16', '59+16=75']
Exploring Operation: 75-75=0, Resulting Numbers: [0]
0,84 unequal: No Solution
Exploring Operation: 75+75=150, Resulting Numbers: [150]
150,84 unequal: No Solution
Exploring Operation: 75/75=1, Resulting Numbers: [1]
1,84 unequal: No Solution
Exploring Operation: 75*75=5625, Resulting Numbers: [5625]
5625,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 84:[59, 91], Operations: ['81-65=16', '75+16=91']
Exploring Operation: 91-59=32, Resulting Numbers: [32]
32,84 unequal: No Solution
Exploring Operation: 59+91=150, Resulting Numbers: [150]
150,84 unequal: No Solution
Exploring Operation: 59*91=5369, Resulting Numbers: [5369]
5369,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,3
Current State: 84:[6, 6], Operations: ['65-59=6', '81-75=6']
Exploring Operation: 6-6=0, Resulting Numbers: [0]
0,84 unequal: No Solution
Exploring Operation: 6/6=1, Resulting Numbers: [1]
1,84 unequal: No Solution
Exploring Operation: 6*6=36, Resulting Numbers: [36]
36,84 unequal: No Solution
Exploring Operation: 6+6=12, Resulting Numbers: [12]
12,84 unequal: No Solution
Moving to Node #0,1,0
Current State: 84:[10, 22], Operations: ['75-65=10', '81-59=22']
Exploring Operation: 10*22=220, Resulting Numbers: [220]
220,84 unequal: No Solution
Exploring Operation: 22-10=12, Resulting Numbers: [12]
12,84 unequal: No Solution
Exploring Operation: 10+22=32, Resulting Numbers: [32]
32,84 unequal: No Solution
Moving to Node #0,2,0
Current State: 84:[16, 16], Operations: ['75-59=16', '81-65=16']
Exploring Operation: 16+16=32, Resulting Numbers: [32]
32,84 unequal: No Solution
Exploring Operation: 16-16=0, Resulting Numbers: [0]
0,84 unequal: No Solution
Exploring Operation: 16/16=1, Resulting Numbers: [1]
1,84 unequal: No Solution
Exploring Operation: 16*16=256, Resulting Numbers: [256]
256,84 unequal: No Solution
Moving to Node #0,3,1
Current State: 84:[81, 81], Operations: ['65-59=6', '75+6=81']
Exploring Operation: 81*81=6561, Resulting Numbers: [6561]
6561,84 unequal: No Solution
Exploring Operation: 81/81=1, Resulting Numbers: [1]
1,84 unequal: No Solution
Exploring Operation: 81-81=0, Resulting Numbers: [0]
0,84 unequal: No Solution
Exploring Operation: 81+81=162, Resulting Numbers: [162]
162,84 unequal: No Solution
Moving to Node #0,2,3
Current State: 84:[81, 81], Operations: ['75-59=16', '65+16=81']
Exploring Operation: 81*81=6561, Resulting Numbers: [6561]
6561,84 unequal: No Solution
Exploring Operation: 81+81=162, Resulting Numbers: [162]
162,84 unequal: No Solution
Exploring Operation: 81/81=1, Resulting Numbers: [1]
1,84 unequal: No Solution
Exploring Operation: 81-81=0, Resulting Numbers: [0]
0,84 unequal: No Solution
Moving to Node #0,1,2
Current State: 84:[81, 49], Operations: ['75-65=10', '59-10=49']
Exploring Operation: 81-49=32, Resulting Numbers: [32]
32,84 unequal: No Solution
Exploring Operation: 81+49=130, Resulting Numbers: [130]
130,84 unequal: No Solution
Exploring Operation: 81*49=3969, Resulting Numbers: [3969]
3969,84 unequal: No Solution
Moving to Node #0,2,2
Current State: 84:[81, 49], Operations: ['75-59=16', '65-16=49']
Exploring Operation: 81*49=3969, Resulting Numbers: [3969]
3969,84 unequal: No Solution
Exploring Operation: 81-49=32, Resulting Numbers: [32]
32,84 unequal: No Solution
Exploring Operation: 81+49=130, Resulting Numbers: [130]
130,84 unequal: No Solution
Moving to Node #0,3,2
Current State: 84:[75, 87], Operations: ['65-59=6', '81+6=87']
Exploring Operation: 75*87=6525, Resulting Numbers: [6525]
6525,84 unequal: No Solution
Exploring Operation: 87-75=12, Resulting Numbers: [12]
12,84 unequal: No Solution
Exploring Operation: 75+87=162, Resulting Numbers: [162]
162,84 unequal: No Solution
Moving to Node #0,3,0
Current State: 84:[81, 69], Operations: ['65-59=6', '75-6=69']
Exploring Operation: 81-69=12, Resulting Numbers: [12]
12,84 unequal: No Solution
Exploring Operation: 81*69=5589, Resulting Numbers: [5589]
5589,84 unequal: No Solution
Exploring Operation: 81+69=150, Resulting Numbers: [150]
150,84 unequal: No Solution
Moving to Node #0,1,3
Current State: 84:[81, 69], Operations: ['75-65=10', '59+10=69']
Exploring Operation: 81*69=5589, Resulting Numbers: [5589]
5589,84 unequal: No Solution
Exploring Operation: 81-69=12, Resulting Numbers: [12]
12,84 unequal: No Solution
Exploring Operation: 81+69=150, Resulting Numbers: [150]
150,84 unequal: No Solution
Moving to Node #0,1,1
Current State: 84:[59, 91], Operations: ['75-65=10', '81+10=91']
Exploring Operation: 91-59=32, Resulting Numbers: [32]
32,84 unequal: No Solution
Exploring Operation: 59*91=5369, Resulting Numbers: [5369]
5369,84 unequal: No Solution
Exploring Operation: 59+91=150, Resulting Numbers: [150]
150,84 unequal: No Solution
Moving to Node #0,2,1
Current State: 84:[65, 97], Operations: ['75-59=16', '81+16=97']
Exploring Operation: 65+97=162, Resulting Numbers: [162]
162,84 unequal: No Solution
Exploring Operation: 65*97=6305, Resulting Numbers: [6305]
6305,84 unequal: No Solution
Exploring Operation: 97-65=32, Resulting Numbers: [32]
32,84 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
41,
23,
2,
30
] | 46 | [
"41-23=18",
"30-2=28",
"18+28=46"
] | Current State: 46:[41, 23, 2, 30], Operations: []
Exploring Operation: 41-23=18, Resulting Numbers: [2, 30, 18]
Generated Node #2: [2, 30, 18] from Operation: 41-23=18
Current State: 46:[2, 30, 18], Operations: ['41-23=18']
Exploring Operation: 30-2=28, Resulting Numbers: [18, 28]
Generated Node #3: [18, 28] from Operation: 30-2=28
Current State: 46:[18, 28], Operations: ['41-23=18', '30-2=28']
Exploring Operation: 18+28=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[41, 23, 2, 30], Operations: []
Exploring Operation: 41-30=11, Resulting Numbers: [23, 2, 11]
Generated Node #0,0: 46:[23, 2, 11] Operation: 41-30=11
Exploring Operation: 41+2=43, Resulting Numbers: [23, 30, 43]
Generated Node #0,1: 46:[23, 30, 43] Operation: 41+2=43
Moving to Node #0,0
Current State: 46:[23, 2, 11], Operations: ['41-30=11']
Exploring Operation: 2*11=22, Resulting Numbers: [23, 22]
Generated Node #0,0,0: 46:[23, 22] Operation: 2*11=22
Exploring Operation: 11-2=9, Resulting Numbers: [23, 9]
Generated Node #0,0,1: 46:[23, 9] Operation: 11-2=9
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 46:[23, 22], Operations: ['41-30=11', '2*11=22']
Exploring Operation: 23-22=1, Resulting Numbers: [1]
1,46 unequal: No Solution
Exploring Operation: 23+22=45, Resulting Numbers: [45]
45,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 46:[23, 9], Operations: ['41-30=11', '11-2=9']
Exploring Operation: 23+9=32, Resulting Numbers: [32]
32,46 unequal: No Solution
Exploring Operation: 23-9=14, Resulting Numbers: [14]
14,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 46:[23, 30, 43], Operations: ['41+2=43']
Exploring Operation: 23+30=53, Resulting Numbers: [43, 53]
Generated Node #0,1,0: 46:[43, 53] Operation: 23+30=53
Exploring Operation: 30-23=7, Resulting Numbers: [43, 7]
Generated Node #0,1,1: 46:[43, 7] Operation: 30-23=7
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 46:[43, 7], Operations: ['41+2=43', '30-23=7']
Exploring Operation: 43-7=36, Resulting Numbers: [36]
36,46 unequal: No Solution
Exploring Operation: 43+7=50, Resulting Numbers: [50]
50,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 46:[43, 53], Operations: ['41+2=43', '23+30=53']
Exploring Operation: 53-43=10, Resulting Numbers: [10]
10,46 unequal: No Solution
Exploring Operation: 43+53=96, Resulting Numbers: [96]
96,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
75,
57,
21,
68
] | 54 | [
"75-68=7",
"21/7=3",
"57-3=54"
] | Current State: 54:[75, 57, 21, 68], Operations: []
Exploring Operation: 75-68=7, Resulting Numbers: [57, 21, 7]
Generated Node #2: [57, 21, 7] from Operation: 75-68=7
Current State: 54:[57, 21, 7], Operations: ['75-68=7']
Exploring Operation: 21/7=3, Resulting Numbers: [57, 3]
Generated Node #3: [57, 3] from Operation: 21/7=3
Current State: 54:[57, 3], Operations: ['75-68=7', '21/7=3']
Exploring Operation: 57-3=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[75, 57, 21, 68], Operations: []
Exploring Operation: 75-21=54, Resulting Numbers: [57, 68, 54]
Generated Node #0,0: 54:[57, 68, 54] Operation: 75-21=54
Exploring Operation: 75-57=18, Resulting Numbers: [21, 68, 18]
Generated Node #0,1: 54:[21, 68, 18] Operation: 75-57=18
Exploring Operation: 75-68=7, Resulting Numbers: [57, 21, 7]
Generated Node #0,2: 54:[57, 21, 7] Operation: 75-68=7
Exploring Operation: 68-57=11, Resulting Numbers: [75, 21, 11]
Generated Node #0,3: 54:[75, 21, 11] Operation: 68-57=11
Exploring Operation: 68-21=47, Resulting Numbers: [75, 57, 47]
Generated Node #0,4: 54:[75, 57, 47] Operation: 68-21=47
Start Sub Search at level 1: Moving to Node #0,2
Current State: 54:[57, 21, 7], Operations: ['75-68=7']
Exploring Operation: 21+7=28, Resulting Numbers: [57, 28]
Generated Node #0,2,0: 54:[57, 28] Operation: 21+7=28
Exploring Operation: 57-21=36, Resulting Numbers: [7, 36]
Generated Node #0,2,1: 54:[7, 36] Operation: 57-21=36
Exploring Operation: 21/7=3, Resulting Numbers: [57, 3]
Generated Node #0,2,2: 54:[57, 3] Operation: 21/7=3
Exploring Operation: 21-7=14, Resulting Numbers: [57, 14]
Generated Node #0,2,3: 54:[57, 14] Operation: 21-7=14
Exploring Operation: 57-7=50, Resulting Numbers: [21, 50]
Generated Node #0,2,4: 54:[21, 50] Operation: 57-7=50
Moving to Node #0,2,2
Current State: 54:[57, 3], Operations: ['75-68=7', '21/7=3']
Exploring Operation: 57/3=19, Resulting Numbers: [19]
19,54 unequal: No Solution
Exploring Operation: 57-3=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[75, 57, 21, 68], Operations: []
Exploring Operation: 75-68=7, Resulting Numbers: [57, 21, 7]
Generated Node #0,2: 54:[57, 21, 7] Operation: 75-68=7
Moving to Node #0,2
Current State: 54:[57, 21, 7], Operations: ['75-68=7']
Exploring Operation: 21/7=3, Resulting Numbers: [57, 3]
Generated Node #0,2,2: 54:[57, 3] Operation: 21/7=3
Moving to Node #0,2,2
Current State: 54:[57, 3], Operations: ['75-68=7', '21/7=3']
Exploring Operation: 57-3=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | mult_heuristic |
[
37,
10,
36,
14
] | 69 | [
"37+10=47",
"36-14=22",
"47+22=69"
] | Current State: 69:[37, 10, 36, 14], Operations: []
Exploring Operation: 37+10=47, Resulting Numbers: [36, 14, 47]
Generated Node #2: [36, 14, 47] from Operation: 37+10=47
Current State: 69:[36, 14, 47], Operations: ['37+10=47']
Exploring Operation: 36-14=22, Resulting Numbers: [47, 22]
Generated Node #3: [47, 22] from Operation: 36-14=22
Current State: 69:[47, 22], Operations: ['37+10=47', '36-14=22']
Exploring Operation: 47+22=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[37, 10, 36, 14], Operations: []
Exploring Operation: 37-36=1, Resulting Numbers: [10, 14, 1]
Generated Node #0,0: 69:[10, 14, 1] Operation: 37-36=1
Moving to Node #0,0
Current State: 69:[10, 14, 1], Operations: ['37-36=1']
Exploring Operation: 10+14=24, Resulting Numbers: [1, 24]
Generated Node #0,0,0: 69:[1, 24] Operation: 10+14=24
Moving to Node #0,0,0
Current State: 69:[1, 24], Operations: ['37-36=1', '10+14=24']
Exploring Operation: 24-1=23, Resulting Numbers: [23]
23,69 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
6,
86,
1,
94
] | 13 | [
"86-6=80",
"94-1=93",
"93-80=13"
] | Current State: 13:[6, 86, 1, 94], Operations: []
Exploring Operation: 86-6=80, Resulting Numbers: [1, 94, 80]
Generated Node #2: [1, 94, 80] from Operation: 86-6=80
Current State: 13:[1, 94, 80], Operations: ['86-6=80']
Exploring Operation: 94-1=93, Resulting Numbers: [80, 93]
Generated Node #3: [80, 93] from Operation: 94-1=93
Current State: 13:[80, 93], Operations: ['86-6=80', '94-1=93']
Exploring Operation: 93-80=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[6, 86, 1, 94], Operations: []
Exploring Operation: 6+1=7, Resulting Numbers: [86, 94, 7]
Generated Node #0,0: 13:[86, 94, 7] Operation: 6+1=7
Exploring Operation: 94-86=8, Resulting Numbers: [6, 1, 8]
Generated Node #0,1: 13:[6, 1, 8] Operation: 94-86=8
Exploring Operation: 86-6=80, Resulting Numbers: [1, 94, 80]
Generated Node #0,2: 13:[1, 94, 80] Operation: 86-6=80
Start Sub Search at level 1: Moving to Node #0,1
Current State: 13:[6, 1, 8], Operations: ['94-86=8']
Exploring Operation: 1+8=9, Resulting Numbers: [6, 9]
Generated Node #0,1,0: 13:[6, 9] Operation: 1+8=9
Exploring Operation: 6*1=6, Resulting Numbers: [8, 6]
Generated Node #0,1,1: 13:[8, 6] Operation: 6*1=6
Exploring Operation: 6+1=7, Resulting Numbers: [8, 7]
Generated Node #0,1,2: 13:[8, 7] Operation: 6+1=7
Moving to Node #0,1,0
Current State: 13:[6, 9], Operations: ['94-86=8', '1+8=9']
Exploring Operation: 6*9=54, Resulting Numbers: [54]
54,13 unequal: No Solution
Exploring Operation: 9-6=3, Resulting Numbers: [3]
3,13 unequal: No Solution
Exploring Operation: 6+9=15, Resulting Numbers: [15]
15,13 unequal: No Solution
Moving to Node #0,1,2
Current State: 13:[8, 7], Operations: ['94-86=8', '6+1=7']
Exploring Operation: 8+7=15, Resulting Numbers: [15]
15,13 unequal: No Solution
Exploring Operation: 8*7=56, Resulting Numbers: [56]
56,13 unequal: No Solution
Exploring Operation: 8-7=1, Resulting Numbers: [1]
1,13 unequal: No Solution
Moving to Node #0,1,1
Current State: 13:[8, 6], Operations: ['94-86=8', '6*1=6']
Exploring Operation: 8*6=48, Resulting Numbers: [48]
48,13 unequal: No Solution
Exploring Operation: 8-6=2, Resulting Numbers: [2]
2,13 unequal: No Solution
Exploring Operation: 8+6=14, Resulting Numbers: [14]
14,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 13:[86, 94, 7], Operations: ['6+1=7']
Exploring Operation: 86-7=79, Resulting Numbers: [94, 79]
Generated Node #0,0,0: 13:[94, 79] Operation: 86-7=79
Exploring Operation: 94-86=8, Resulting Numbers: [7, 8]
Generated Node #0,0,1: 13:[7, 8] Operation: 94-86=8
Exploring Operation: 94-7=87, Resulting Numbers: [86, 87]
Generated Node #0,0,2: 13:[86, 87] Operation: 94-7=87
Moving to Node #0,0,1
Current State: 13:[7, 8], Operations: ['6+1=7', '94-86=8']
Exploring Operation: 7*8=56, Resulting Numbers: [56]
56,13 unequal: No Solution
Exploring Operation: 7+8=15, Resulting Numbers: [15]
15,13 unequal: No Solution
Exploring Operation: 8-7=1, Resulting Numbers: [1]
1,13 unequal: No Solution
Moving to Node #0,0,0
Current State: 13:[94, 79], Operations: ['6+1=7', '86-7=79']
Exploring Operation: 94-79=15, Resulting Numbers: [15]
15,13 unequal: No Solution
Exploring Operation: 94*79=7426, Resulting Numbers: [7426]
7426,13 unequal: No Solution
Exploring Operation: 94+79=173, Resulting Numbers: [173]
173,13 unequal: No Solution
Moving to Node #0,0,2
Current State: 13:[86, 87], Operations: ['6+1=7', '94-7=87']
Exploring Operation: 86+87=173, Resulting Numbers: [173]
173,13 unequal: No Solution
Exploring Operation: 86*87=7482, Resulting Numbers: [7482]
7482,13 unequal: No Solution
Exploring Operation: 87-86=1, Resulting Numbers: [1]
1,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 13:[1, 94, 80], Operations: ['86-6=80']
Exploring Operation: 94-80=14, Resulting Numbers: [1, 14]
Generated Node #0,2,0: 13:[1, 14] Operation: 94-80=14
Exploring Operation: 80-1=79, Resulting Numbers: [94, 79]
Generated Node #0,2,1: 13:[94, 79] Operation: 80-1=79
Exploring Operation: 94-1=93, Resulting Numbers: [80, 93]
Generated Node #0,2,2: 13:[80, 93] Operation: 94-1=93
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 13:[1, 14], Operations: ['86-6=80', '94-80=14']
Exploring Operation: 1*14=14, Resulting Numbers: [14]
14,13 unequal: No Solution
Exploring Operation: 14/1=14, Resulting Numbers: [14]
14,13 unequal: No Solution
Exploring Operation: 14-1=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Moving to Node #0
Current State: 13:[6, 86, 1, 94], Operations: []
Exploring Operation: 86-6=80, Resulting Numbers: [1, 94, 80]
Generated Node #0,2: 13:[1, 94, 80] Operation: 86-6=80
Moving to Node #0,2
Current State: 13:[1, 94, 80], Operations: ['86-6=80']
Exploring Operation: 94-80=14, Resulting Numbers: [1, 14]
Generated Node #0,2,0: 13:[1, 14] Operation: 94-80=14
Moving to Node #0,2,0
Current State: 13:[1, 14], Operations: ['86-6=80', '94-80=14']
Exploring Operation: 14-1=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.967882 | hs_3 | sum_heuristic |
[
10,
7,
63,
73
] | 80 | [
"10*7=70",
"73-63=10",
"70+10=80"
] | Current State: 80:[10, 7, 63, 73], Operations: []
Exploring Operation: 10*7=70, Resulting Numbers: [63, 73, 70]
Generated Node #2: [63, 73, 70] from Operation: 10*7=70
Current State: 80:[63, 73, 70], Operations: ['10*7=70']
Exploring Operation: 73-63=10, Resulting Numbers: [70, 10]
Generated Node #3: [70, 10] from Operation: 73-63=10
Current State: 80:[70, 10], Operations: ['10*7=70', '73-63=10']
Exploring Operation: 70+10=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[10, 7, 63, 73], Operations: []
Exploring Operation: 10+63=73, Resulting Numbers: [7, 73, 73]
Generated Node #0,0: 80:[7, 73, 73] Operation: 10+63=73
Exploring Operation: 63/7=9, Resulting Numbers: [10, 73, 9]
Generated Node #0,1: 80:[10, 73, 9] Operation: 63/7=9
Exploring Operation: 73-63=10, Resulting Numbers: [10, 7, 10]
Generated Node #0,2: 80:[10, 7, 10] Operation: 73-63=10
Moving to Node #0,2
Current State: 80:[10, 7, 10], Operations: ['73-63=10']
Exploring Operation: 10+7=17, Resulting Numbers: [10, 17]
Generated Node #0,2,0: 80:[10, 17] Operation: 10+7=17
Exploring Operation: 10+10=20, Resulting Numbers: [7, 20]
Generated Node #0,2,1: 80:[7, 20] Operation: 10+10=20
Exploring Operation: 10-7=3, Resulting Numbers: [10, 3]
Generated Node #0,2,2: 80:[10, 3] Operation: 10-7=3
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 80:[10, 17], Operations: ['73-63=10', '10+7=17']
Exploring Operation: 10*17=170, Resulting Numbers: [170]
170,80 unequal: No Solution
Exploring Operation: 17-10=7, Resulting Numbers: [7]
7,80 unequal: No Solution
Exploring Operation: 10+17=27, Resulting Numbers: [27]
27,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 80:[7, 20], Operations: ['73-63=10', '10+10=20']
Exploring Operation: 20-7=13, Resulting Numbers: [13]
13,80 unequal: No Solution
Exploring Operation: 7+20=27, Resulting Numbers: [27]
27,80 unequal: No Solution
Exploring Operation: 7*20=140, Resulting Numbers: [140]
140,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 80:[10, 3], Operations: ['73-63=10', '10-7=3']
Exploring Operation: 10-3=7, Resulting Numbers: [7]
7,80 unequal: No Solution
Exploring Operation: 10+3=13, Resulting Numbers: [13]
13,80 unequal: No Solution
Exploring Operation: 10*3=30, Resulting Numbers: [30]
30,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 80:[10, 73, 9], Operations: ['63/7=9']
Exploring Operation: 10+9=19, Resulting Numbers: [73, 19]
Generated Node #0,1,0: 80:[73, 19] Operation: 10+9=19
Exploring Operation: 10+73=83, Resulting Numbers: [9, 83]
Generated Node #0,1,1: 80:[9, 83] Operation: 10+73=83
Exploring Operation: 73+9=82, Resulting Numbers: [10, 82]
Generated Node #0,1,2: 80:[10, 82] Operation: 73+9=82
Moving to Node #0,0
Current State: 80:[7, 73, 73], Operations: ['10+63=73']
Exploring Operation: 73/73=1, Resulting Numbers: [7, 1]
Generated Node #0,0,0: 80:[7, 1] Operation: 73/73=1
Exploring Operation: 7+73=80, Resulting Numbers: [73, 80]
Generated Node #0,0,1: 80:[73, 80] Operation: 7+73=80
Exploring Operation: 73-73=0, Resulting Numbers: [7, 0]
Generated Node #0,0,2: 80:[7, 0] Operation: 73-73=0
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 80:[7, 1], Operations: ['10+63=73', '73/73=1']
Exploring Operation: 7*1=7, Resulting Numbers: [7]
7,80 unequal: No Solution
Exploring Operation: 7+1=8, Resulting Numbers: [8]
8,80 unequal: No Solution
Exploring Operation: 7-1=6, Resulting Numbers: [6]
6,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 80:[7, 0], Operations: ['10+63=73', '73-73=0']
Exploring Operation: 7-0=7, Resulting Numbers: [7]
7,80 unequal: No Solution
Exploring Operation: 7+0=7, Resulting Numbers: [7]
7,80 unequal: No Solution
Exploring Operation: 7*0=0, Resulting Numbers: [0]
0,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 80:[73, 80], Operations: ['10+63=73', '7+73=80']
Exploring Operation: 73+80=153, Resulting Numbers: [153]
153,80 unequal: No Solution
Exploring Operation: 80-73=7, Resulting Numbers: [7]
7,80 unequal: No Solution
Exploring Operation: 73*80=5840, Resulting Numbers: [5840]
5840,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,2
Current State: 80:[10, 82], Operations: ['63/7=9', '73+9=82']
Exploring Operation: 10*82=820, Resulting Numbers: [820]
820,80 unequal: No Solution
Exploring Operation: 10+82=92, Resulting Numbers: [92]
92,80 unequal: No Solution
Exploring Operation: 82-10=72, Resulting Numbers: [72]
72,80 unequal: No Solution
Moving to Node #0,1,1
Current State: 80:[9, 83], Operations: ['63/7=9', '10+73=83']
Exploring Operation: 9*83=747, Resulting Numbers: [747]
747,80 unequal: No Solution
Exploring Operation: 9+83=92, Resulting Numbers: [92]
92,80 unequal: No Solution
Exploring Operation: 83-9=74, Resulting Numbers: [74]
74,80 unequal: No Solution
Moving to Node #0,1,0
Current State: 80:[73, 19], Operations: ['63/7=9', '10+9=19']
Exploring Operation: 73*19=1387, Resulting Numbers: [1387]
1387,80 unequal: No Solution
Exploring Operation: 73-19=54, Resulting Numbers: [54]
54,80 unequal: No Solution
Exploring Operation: 73+19=92, Resulting Numbers: [92]
92,80 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
4,
34,
25,
78
] | 12 | [
"4*25=100",
"34+78=112",
"112-100=12"
] | Current State: 12:[4, 34, 25, 78], Operations: []
Exploring Operation: 4*25=100, Resulting Numbers: [34, 78, 100]
Generated Node #2: [34, 78, 100] from Operation: 4*25=100
Current State: 12:[34, 78, 100], Operations: ['4*25=100']
Exploring Operation: 34+78=112, Resulting Numbers: [100, 112]
Generated Node #3: [100, 112] from Operation: 34+78=112
Current State: 12:[100, 112], Operations: ['4*25=100', '34+78=112']
Exploring Operation: 112-100=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[4, 34, 25, 78], Operations: []
Exploring Operation: 34-25=9, Resulting Numbers: [4, 78, 9]
Generated Node #0,0: 12:[4, 78, 9] Operation: 34-25=9
Exploring Operation: 78-34=44, Resulting Numbers: [4, 25, 44]
Generated Node #0,1: 12:[4, 25, 44] Operation: 78-34=44
Exploring Operation: 78-25=53, Resulting Numbers: [4, 34, 53]
Generated Node #0,2: 12:[4, 34, 53] Operation: 78-25=53
Moving to Node #0,1
Current State: 12:[4, 25, 44], Operations: ['78-34=44']
Exploring Operation: 44-25=19, Resulting Numbers: [4, 19]
Generated Node #0,1,0: 12:[4, 19] Operation: 44-25=19
Exploring Operation: 25-4=21, Resulting Numbers: [44, 21]
Generated Node #0,1,1: 12:[44, 21] Operation: 25-4=21
Exploring Operation: 44/4=11, Resulting Numbers: [25, 11]
Generated Node #0,1,2: 12:[25, 11] Operation: 44/4=11
Moving to Node #0,2
Current State: 12:[4, 34, 53], Operations: ['78-25=53']
Exploring Operation: 34-4=30, Resulting Numbers: [53, 30]
Generated Node #0,2,0: 12:[53, 30] Operation: 34-4=30
Exploring Operation: 53-34=19, Resulting Numbers: [4, 19]
Generated Node #0,2,1: 12:[4, 19] Operation: 53-34=19
Exploring Operation: 53-4=49, Resulting Numbers: [34, 49]
Generated Node #0,2,2: 12:[34, 49] Operation: 53-4=49
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 12:[4, 19], Operations: ['78-25=53', '53-34=19']
Exploring Operation: 4+19=23, Resulting Numbers: [23]
23,12 unequal: No Solution
Exploring Operation: 19-4=15, Resulting Numbers: [15]
15,12 unequal: No Solution
Exploring Operation: 4*19=76, Resulting Numbers: [76]
76,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 12:[53, 30], Operations: ['78-25=53', '34-4=30']
Exploring Operation: 53+30=83, Resulting Numbers: [83]
83,12 unequal: No Solution
Exploring Operation: 53-30=23, Resulting Numbers: [23]
23,12 unequal: No Solution
Exploring Operation: 53*30=1590, Resulting Numbers: [1590]
1590,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 12:[34, 49], Operations: ['78-25=53', '53-4=49']
Exploring Operation: 49-34=15, Resulting Numbers: [15]
15,12 unequal: No Solution
Exploring Operation: 34*49=1666, Resulting Numbers: [1666]
1666,12 unequal: No Solution
Exploring Operation: 34+49=83, Resulting Numbers: [83]
83,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 12:[4, 78, 9], Operations: ['34-25=9']
Exploring Operation: 4+9=13, Resulting Numbers: [78, 13]
Generated Node #0,0,0: 12:[78, 13] Operation: 4+9=13
Exploring Operation: 78-9=69, Resulting Numbers: [4, 69]
Generated Node #0,0,1: 12:[4, 69] Operation: 78-9=69
Exploring Operation: 78-4=74, Resulting Numbers: [9, 74]
Generated Node #0,0,2: 12:[9, 74] Operation: 78-4=74
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 12:[4, 69], Operations: ['34-25=9', '78-9=69']
Exploring Operation: 4*69=276, Resulting Numbers: [276]
276,12 unequal: No Solution
Exploring Operation: 69-4=65, Resulting Numbers: [65]
65,12 unequal: No Solution
Exploring Operation: 4+69=73, Resulting Numbers: [73]
73,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 12:[9, 74], Operations: ['34-25=9', '78-4=74']
Exploring Operation: 9+74=83, Resulting Numbers: [83]
83,12 unequal: No Solution
Exploring Operation: 9*74=666, Resulting Numbers: [666]
666,12 unequal: No Solution
Exploring Operation: 74-9=65, Resulting Numbers: [65]
65,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 12:[78, 13], Operations: ['34-25=9', '4+9=13']
Exploring Operation: 78-13=65, Resulting Numbers: [65]
65,12 unequal: No Solution
Exploring Operation: 78+13=91, Resulting Numbers: [91]
91,12 unequal: No Solution
Exploring Operation: 78/13=6, Resulting Numbers: [6]
6,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,0
Current State: 12:[4, 19], Operations: ['78-34=44', '44-25=19']
Exploring Operation: 4*19=76, Resulting Numbers: [76]
76,12 unequal: No Solution
Exploring Operation: 4+19=23, Resulting Numbers: [23]
23,12 unequal: No Solution
Exploring Operation: 19-4=15, Resulting Numbers: [15]
15,12 unequal: No Solution
Moving to Node #0,1,2
Current State: 12:[25, 11], Operations: ['78-34=44', '44/4=11']
Exploring Operation: 25-11=14, Resulting Numbers: [14]
14,12 unequal: No Solution
Exploring Operation: 25+11=36, Resulting Numbers: [36]
36,12 unequal: No Solution
Exploring Operation: 25*11=275, Resulting Numbers: [275]
275,12 unequal: No Solution
Moving to Node #0,1,1
Current State: 12:[44, 21], Operations: ['78-34=44', '25-4=21']
Exploring Operation: 44+21=65, Resulting Numbers: [65]
65,12 unequal: No Solution
Exploring Operation: 44-21=23, Resulting Numbers: [23]
23,12 unequal: No Solution
Exploring Operation: 44*21=924, Resulting Numbers: [924]
924,12 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
80,
60,
76,
30
] | 51 | [
"60+76=136",
"30*136=4080",
"4080/80=51"
] | Current State: 51:[80, 60, 76, 30], Operations: []
Exploring Operation: 60+76=136, Resulting Numbers: [80, 30, 136]
Generated Node #2: [80, 30, 136] from Operation: 60+76=136
Current State: 51:[80, 30, 136], Operations: ['60+76=136']
Exploring Operation: 30*136=4080, Resulting Numbers: [80, 4080]
Generated Node #3: [80, 4080] from Operation: 30*136=4080
Current State: 51:[80, 4080], Operations: ['60+76=136', '30*136=4080']
Exploring Operation: 4080/80=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[80, 60, 76, 30], Operations: []
Exploring Operation: 80-76=4, Resulting Numbers: [60, 30, 4]
Generated Node #0,0: 51:[60, 30, 4] Operation: 80-76=4
Exploring Operation: 80-30=50, Resulting Numbers: [60, 76, 50]
Generated Node #0,1: 51:[60, 76, 50] Operation: 80-30=50
Moving to Node #0,0
Current State: 51:[60, 30, 4], Operations: ['80-76=4']
Exploring Operation: 60/30=2, Resulting Numbers: [4, 2]
Generated Node #0,0,0: 51:[4, 2] Operation: 60/30=2
Exploring Operation: 60-30=30, Resulting Numbers: [4, 30]
Generated Node #0,0,1: 51:[4, 30] Operation: 60-30=30
Moving to Node #0,1
Current State: 51:[60, 76, 50], Operations: ['80-30=50']
Exploring Operation: 76-60=16, Resulting Numbers: [50, 16]
Generated Node #0,1,0: 51:[50, 16] Operation: 76-60=16
Exploring Operation: 76-50=26, Resulting Numbers: [60, 26]
Generated Node #0,1,1: 51:[60, 26] Operation: 76-50=26
Moving to Node #0,0,0
Current State: 51:[4, 2], Operations: ['80-76=4', '60/30=2']
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,51 unequal: No Solution
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,51 unequal: No Solution
Moving to Node #0,1,0
Current State: 51:[50, 16], Operations: ['80-30=50', '76-60=16']
Exploring Operation: 50+16=66, Resulting Numbers: [66]
66,51 unequal: No Solution
Exploring Operation: 50-16=34, Resulting Numbers: [34]
34,51 unequal: No Solution
Moving to Node #0,0,1
Current State: 51:[4, 30], Operations: ['80-76=4', '60-30=30']
Exploring Operation: 30-4=26, Resulting Numbers: [26]
26,51 unequal: No Solution
Exploring Operation: 4+30=34, Resulting Numbers: [34]
34,51 unequal: No Solution
Moving to Node #0,1,1
Current State: 51:[60, 26], Operations: ['80-30=50', '76-50=26']
Exploring Operation: 60-26=34, Resulting Numbers: [34]
34,51 unequal: No Solution
Exploring Operation: 60+26=86, Resulting Numbers: [86]
86,51 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
65,
27,
1,
54
] | 64 | [
"65+1=66",
"54/27=2",
"66-2=64"
] | Current State: 64:[65, 27, 1, 54], Operations: []
Exploring Operation: 65+1=66, Resulting Numbers: [27, 54, 66]
Generated Node #2: [27, 54, 66] from Operation: 65+1=66
Current State: 64:[27, 54, 66], Operations: ['65+1=66']
Exploring Operation: 54/27=2, Resulting Numbers: [66, 2]
Generated Node #3: [66, 2] from Operation: 54/27=2
Current State: 64:[66, 2], Operations: ['65+1=66', '54/27=2']
Exploring Operation: 66-2=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[65, 27, 1, 54], Operations: []
Exploring Operation: 54/27=2, Resulting Numbers: [65, 1, 2]
Generated Node #0,0: 64:[65, 1, 2] Operation: 54/27=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 64:[65, 1, 2], Operations: ['54/27=2']
Exploring Operation: 65-1=64, Resulting Numbers: [2, 64]
Generated Node #0,0,0: 64:[2, 64] Operation: 65-1=64
Moving to Node #0,0,0
Current State: 64:[2, 64], Operations: ['54/27=2', '65-1=64']
Exploring Operation: 64/2=32, Resulting Numbers: [32]
32,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
4,
82,
73,
3
] | 16 | [
"4+82=86",
"73-3=70",
"86-70=16"
] | Current State: 16:[4, 82, 73, 3], Operations: []
Exploring Operation: 4+82=86, Resulting Numbers: [73, 3, 86]
Generated Node #2: [73, 3, 86] from Operation: 4+82=86
Current State: 16:[73, 3, 86], Operations: ['4+82=86']
Exploring Operation: 73-3=70, Resulting Numbers: [86, 70]
Generated Node #3: [86, 70] from Operation: 73-3=70
Current State: 16:[86, 70], Operations: ['4+82=86', '73-3=70']
Exploring Operation: 86-70=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[4, 82, 73, 3], Operations: []
Exploring Operation: 82-73=9, Resulting Numbers: [4, 3, 9]
Generated Node #0,0: 16:[4, 3, 9] Operation: 82-73=9
Exploring Operation: 82-3=79, Resulting Numbers: [4, 73, 79]
Generated Node #0,1: 16:[4, 73, 79] Operation: 82-3=79
Exploring Operation: 73-4=69, Resulting Numbers: [82, 3, 69]
Generated Node #0,2: 16:[82, 3, 69] Operation: 73-4=69
Exploring Operation: 82-4=78, Resulting Numbers: [73, 3, 78]
Generated Node #0,3: 16:[73, 3, 78] Operation: 82-4=78
Exploring Operation: 73-3=70, Resulting Numbers: [4, 82, 70]
Generated Node #0,4: 16:[4, 82, 70] Operation: 73-3=70
Moving to Node #0,0
Current State: 16:[4, 3, 9], Operations: ['82-73=9']
Exploring Operation: 4-3=1, Resulting Numbers: [9, 1]
Generated Node #0,0,0: 16:[9, 1] Operation: 4-3=1
Exploring Operation: 4+3=7, Resulting Numbers: [9, 7]
Generated Node #0,0,1: 16:[9, 7] Operation: 4+3=7
Exploring Operation: 9/3=3, Resulting Numbers: [4, 3]
Generated Node #0,0,2: 16:[4, 3] Operation: 9/3=3
Exploring Operation: 9-4=5, Resulting Numbers: [3, 5]
Generated Node #0,0,3: 16:[3, 5] Operation: 9-4=5
Exploring Operation: 9-3=6, Resulting Numbers: [4, 6]
Generated Node #0,0,4: 16:[4, 6] Operation: 9-3=6
Moving to Node #0,2
Current State: 16:[82, 3, 69], Operations: ['73-4=69']
Exploring Operation: 82-3=79, Resulting Numbers: [69, 79]
Generated Node #0,2,0: 16:[69, 79] Operation: 82-3=79
Exploring Operation: 82+3=85, Resulting Numbers: [69, 85]
Generated Node #0,2,1: 16:[69, 85] Operation: 82+3=85
Exploring Operation: 69/3=23, Resulting Numbers: [82, 23]
Generated Node #0,2,2: 16:[82, 23] Operation: 69/3=23
Exploring Operation: 82-69=13, Resulting Numbers: [3, 13]
Generated Node #0,2,3: 16:[3, 13] Operation: 82-69=13
Exploring Operation: 69-3=66, Resulting Numbers: [82, 66]
Generated Node #0,2,4: 16:[82, 66] Operation: 69-3=66
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 16:[3, 13], Operations: ['73-4=69', '82-69=13']
Exploring Operation: 3*13=39, Resulting Numbers: [39]
39,16 unequal: No Solution
Exploring Operation: 3+13=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[4, 82, 73, 3], Operations: []
Exploring Operation: 73-4=69, Resulting Numbers: [82, 3, 69]
Generated Node #0,2: 16:[82, 3, 69] Operation: 73-4=69
Moving to Node #0,2
Current State: 16:[82, 3, 69], Operations: ['73-4=69']
Exploring Operation: 82-69=13, Resulting Numbers: [3, 13]
Generated Node #0,2,3: 16:[3, 13] Operation: 82-69=13
Moving to Node #0,2,3
Current State: 16:[3, 13], Operations: ['73-4=69', '82-69=13']
Exploring Operation: 3+13=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 | hs_5 | sum_heuristic |
[
84,
86,
25,
36
] | 47 | [
"86-84=2",
"36*2=72",
"72-25=47"
] | Current State: 47:[84, 86, 25, 36], Operations: []
Exploring Operation: 86-84=2, Resulting Numbers: [25, 36, 2]
Generated Node #2: [25, 36, 2] from Operation: 86-84=2
Current State: 47:[25, 36, 2], Operations: ['86-84=2']
Exploring Operation: 36*2=72, Resulting Numbers: [25, 72]
Generated Node #3: [25, 72] from Operation: 36*2=72
Current State: 47:[25, 72], Operations: ['86-84=2', '36*2=72']
Exploring Operation: 72-25=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[84, 86, 25, 36], Operations: []
Exploring Operation: 86-25=61, Resulting Numbers: [84, 36, 61]
Generated Node #0,0: 47:[84, 36, 61] Operation: 86-25=61
Exploring Operation: 86-36=50, Resulting Numbers: [84, 25, 50]
Generated Node #0,1: 47:[84, 25, 50] Operation: 86-36=50
Exploring Operation: 84-36=48, Resulting Numbers: [86, 25, 48]
Generated Node #0,2: 47:[86, 25, 48] Operation: 84-36=48
Exploring Operation: 86-84=2, Resulting Numbers: [25, 36, 2]
Generated Node #0,3: 47:[25, 36, 2] Operation: 86-84=2
Exploring Operation: 84-25=59, Resulting Numbers: [86, 36, 59]
Generated Node #0,4: 47:[86, 36, 59] Operation: 84-25=59
Start Sub Search at level 1: Moving to Node #0,0
Current State: 47:[84, 36, 61], Operations: ['86-25=61']
Exploring Operation: 84+36=120, Resulting Numbers: [61, 120]
Generated Node #0,0,0: 47:[61, 120] Operation: 84+36=120
Exploring Operation: 36+61=97, Resulting Numbers: [84, 97]
Generated Node #0,0,1: 47:[84, 97] Operation: 36+61=97
Exploring Operation: 61-36=25, Resulting Numbers: [84, 25]
Generated Node #0,0,2: 47:[84, 25] Operation: 61-36=25
Exploring Operation: 84-61=23, Resulting Numbers: [36, 23]
Generated Node #0,0,3: 47:[36, 23] Operation: 84-61=23
Exploring Operation: 84-36=48, Resulting Numbers: [61, 48]
Generated Node #0,0,4: 47:[61, 48] Operation: 84-36=48
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 47:[61, 48], Operations: ['86-25=61', '84-36=48']
Exploring Operation: 61*48=2928, Resulting Numbers: [2928]
2928,47 unequal: No Solution
Exploring Operation: 61-48=13, Resulting Numbers: [13]
13,47 unequal: No Solution
Exploring Operation: 61+48=109, Resulting Numbers: [109]
109,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 47:[36, 23], Operations: ['86-25=61', '84-61=23']
Exploring Operation: 36+23=59, Resulting Numbers: [59]
59,47 unequal: No Solution
Exploring Operation: 36*23=828, Resulting Numbers: [828]
828,47 unequal: No Solution
Exploring Operation: 36-23=13, Resulting Numbers: [13]
13,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 47:[84, 25], Operations: ['86-25=61', '61-36=25']
Exploring Operation: 84*25=2100, Resulting Numbers: [2100]
2100,47 unequal: No Solution
Exploring Operation: 84+25=109, Resulting Numbers: [109]
109,47 unequal: No Solution
Exploring Operation: 84-25=59, Resulting Numbers: [59]
59,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 47:[61, 120], Operations: ['86-25=61', '84+36=120']
Exploring Operation: 61+120=181, Resulting Numbers: [181]
181,47 unequal: No Solution
Exploring Operation: 120-61=59, Resulting Numbers: [59]
59,47 unequal: No Solution
Exploring Operation: 61*120=7320, Resulting Numbers: [7320]
7320,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 47:[84, 97], Operations: ['86-25=61', '36+61=97']
Exploring Operation: 84+97=181, Resulting Numbers: [181]
181,47 unequal: No Solution
Exploring Operation: 84*97=8148, Resulting Numbers: [8148]
8148,47 unequal: No Solution
Exploring Operation: 97-84=13, Resulting Numbers: [13]
13,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 47:[84, 25, 50], Operations: ['86-36=50']
Exploring Operation: 84-25=59, Resulting Numbers: [50, 59]
Generated Node #0,1,0: 47:[50, 59] Operation: 84-25=59
Exploring Operation: 50-25=25, Resulting Numbers: [84, 25]
Generated Node #0,1,1: 47:[84, 25] Operation: 50-25=25
Exploring Operation: 84-50=34, Resulting Numbers: [25, 34]
Generated Node #0,1,2: 47:[25, 34] Operation: 84-50=34
Exploring Operation: 25+50=75, Resulting Numbers: [84, 75]
Generated Node #0,1,3: 47:[84, 75] Operation: 25+50=75
Exploring Operation: 84+25=109, Resulting Numbers: [50, 109]
Generated Node #0,1,4: 47:[50, 109] Operation: 84+25=109
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 47:[50, 59], Operations: ['86-36=50', '84-25=59']
Exploring Operation: 50+59=109, Resulting Numbers: [109]
109,47 unequal: No Solution
Exploring Operation: 59-50=9, Resulting Numbers: [9]
9,47 unequal: No Solution
Exploring Operation: 50*59=2950, Resulting Numbers: [2950]
2950,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 47:[25, 34], Operations: ['86-36=50', '84-50=34']
Exploring Operation: 25*34=850, Resulting Numbers: [850]
850,47 unequal: No Solution
Exploring Operation: 25+34=59, Resulting Numbers: [59]
59,47 unequal: No Solution
Exploring Operation: 34-25=9, Resulting Numbers: [9]
9,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 47:[84, 25], Operations: ['86-36=50', '50-25=25']
Exploring Operation: 84*25=2100, Resulting Numbers: [2100]
2100,47 unequal: No Solution
Exploring Operation: 84+25=109, Resulting Numbers: [109]
109,47 unequal: No Solution
Exploring Operation: 84-25=59, Resulting Numbers: [59]
59,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 47:[84, 75], Operations: ['86-36=50', '25+50=75']
Exploring Operation: 84*75=6300, Resulting Numbers: [6300]
6300,47 unequal: No Solution
Exploring Operation: 84+75=159, Resulting Numbers: [159]
159,47 unequal: No Solution
Exploring Operation: 84-75=9, Resulting Numbers: [9]
9,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 47:[50, 109], Operations: ['86-36=50', '84+25=109']
Exploring Operation: 50*109=5450, Resulting Numbers: [5450]
5450,47 unequal: No Solution
Exploring Operation: 50+109=159, Resulting Numbers: [159]
159,47 unequal: No Solution
Exploring Operation: 109-50=59, Resulting Numbers: [59]
59,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 47:[86, 25, 48], Operations: ['84-36=48']
Exploring Operation: 86-48=38, Resulting Numbers: [25, 38]
Generated Node #0,2,0: 47:[25, 38] Operation: 86-48=38
Exploring Operation: 86-25=61, Resulting Numbers: [48, 61]
Generated Node #0,2,1: 47:[48, 61] Operation: 86-25=61
Exploring Operation: 48-25=23, Resulting Numbers: [86, 23]
Generated Node #0,2,2: 47:[86, 23] Operation: 48-25=23
Exploring Operation: 86+25=111, Resulting Numbers: [48, 111]
Generated Node #0,2,3: 47:[48, 111] Operation: 86+25=111
Exploring Operation: 25+48=73, Resulting Numbers: [86, 73]
Generated Node #0,2,4: 47:[86, 73] Operation: 25+48=73
Moving to Node #0,2,1
Current State: 47:[48, 61], Operations: ['84-36=48', '86-25=61']
Exploring Operation: 48+61=109, Resulting Numbers: [109]
109,47 unequal: No Solution
Exploring Operation: 61-48=13, Resulting Numbers: [13]
13,47 unequal: No Solution
Exploring Operation: 48*61=2928, Resulting Numbers: [2928]
2928,47 unequal: No Solution
Moving to Node #0,2,0
Current State: 47:[25, 38], Operations: ['84-36=48', '86-48=38']
Exploring Operation: 25+38=63, Resulting Numbers: [63]
63,47 unequal: No Solution
Exploring Operation: 25*38=950, Resulting Numbers: [950]
950,47 unequal: No Solution
Exploring Operation: 38-25=13, Resulting Numbers: [13]
13,47 unequal: No Solution
Moving to Node #0,2,2
Current State: 47:[86, 23], Operations: ['84-36=48', '48-25=23']
Exploring Operation: 86*23=1978, Resulting Numbers: [1978]
1978,47 unequal: No Solution
Exploring Operation: 86-23=63, Resulting Numbers: [63]
63,47 unequal: No Solution
Exploring Operation: 86+23=109, Resulting Numbers: [109]
109,47 unequal: No Solution
Moving to Node #0,2,3
Current State: 47:[48, 111], Operations: ['84-36=48', '86+25=111']
Exploring Operation: 48*111=5328, Resulting Numbers: [5328]
5328,47 unequal: No Solution
Exploring Operation: 48+111=159, Resulting Numbers: [159]
159,47 unequal: No Solution
Exploring Operation: 111-48=63, Resulting Numbers: [63]
63,47 unequal: No Solution
Moving to Node #0,2,4
Current State: 47:[86, 73], Operations: ['84-36=48', '25+48=73']
Exploring Operation: 86+73=159, Resulting Numbers: [159]
159,47 unequal: No Solution
Exploring Operation: 86-73=13, Resulting Numbers: [13]
13,47 unequal: No Solution
Exploring Operation: 86*73=6278, Resulting Numbers: [6278]
6278,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 47:[86, 36, 59], Operations: ['84-25=59']
Exploring Operation: 59-36=23, Resulting Numbers: [86, 23]
Generated Node #0,4,0: 47:[86, 23] Operation: 59-36=23
Exploring Operation: 86-36=50, Resulting Numbers: [59, 50]
Generated Node #0,4,1: 47:[59, 50] Operation: 86-36=50
Exploring Operation: 86-59=27, Resulting Numbers: [36, 27]
Generated Node #0,4,2: 47:[36, 27] Operation: 86-59=27
Exploring Operation: 86+36=122, Resulting Numbers: [59, 122]
Generated Node #0,4,3: 47:[59, 122] Operation: 86+36=122
Exploring Operation: 36+59=95, Resulting Numbers: [86, 95]
Generated Node #0,4,4: 47:[86, 95] Operation: 36+59=95
Moving to Node #0,4,1
Current State: 47:[59, 50], Operations: ['84-25=59', '86-36=50']
Exploring Operation: 59*50=2950, Resulting Numbers: [2950]
2950,47 unequal: No Solution
Exploring Operation: 59+50=109, Resulting Numbers: [109]
109,47 unequal: No Solution
Exploring Operation: 59-50=9, Resulting Numbers: [9]
9,47 unequal: No Solution
Moving to Node #0,4,2
Current State: 47:[36, 27], Operations: ['84-25=59', '86-59=27']
Exploring Operation: 36+27=63, Resulting Numbers: [63]
63,47 unequal: No Solution
Exploring Operation: 36-27=9, Resulting Numbers: [9]
9,47 unequal: No Solution
Exploring Operation: 36*27=972, Resulting Numbers: [972]
972,47 unequal: No Solution
Moving to Node #0,4,0
Current State: 47:[86, 23], Operations: ['84-25=59', '59-36=23']
Exploring Operation: 86+23=109, Resulting Numbers: [109]
109,47 unequal: No Solution
Exploring Operation: 86-23=63, Resulting Numbers: [63]
63,47 unequal: No Solution
Exploring Operation: 86*23=1978, Resulting Numbers: [1978]
1978,47 unequal: No Solution
Moving to Node #0,4,3
Current State: 47:[59, 122], Operations: ['84-25=59', '86+36=122']
Exploring Operation: 59*122=7198, Resulting Numbers: [7198]
7198,47 unequal: No Solution
Exploring Operation: 122-59=63, Resulting Numbers: [63]
63,47 unequal: No Solution
Exploring Operation: 59+122=181, Resulting Numbers: [181]
181,47 unequal: No Solution
Moving to Node #0,4,4
Current State: 47:[86, 95], Operations: ['84-25=59', '36+59=95']
Exploring Operation: 86*95=8170, Resulting Numbers: [8170]
8170,47 unequal: No Solution
Exploring Operation: 95-86=9, Resulting Numbers: [9]
9,47 unequal: No Solution
Exploring Operation: 86+95=181, Resulting Numbers: [181]
181,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 47:[25, 36, 2], Operations: ['86-84=2']
Exploring Operation: 25*2=50, Resulting Numbers: [36, 50]
Generated Node #0,3,0: 47:[36, 50] Operation: 25*2=50
Exploring Operation: 36+2=38, Resulting Numbers: [25, 38]
Generated Node #0,3,1: 47:[25, 38] Operation: 36+2=38
Exploring Operation: 25-2=23, Resulting Numbers: [36, 23]
Generated Node #0,3,2: 47:[36, 23] Operation: 25-2=23
Exploring Operation: 25+2=27, Resulting Numbers: [36, 27]
Generated Node #0,3,3: 47:[36, 27] Operation: 25+2=27
Exploring Operation: 36-2=34, Resulting Numbers: [25, 34]
Generated Node #0,3,4: 47:[25, 34] Operation: 36-2=34
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 47:[36, 50], Operations: ['86-84=2', '25*2=50']
Exploring Operation: 50-36=14, Resulting Numbers: [14]
14,47 unequal: No Solution
Exploring Operation: 36+50=86, Resulting Numbers: [86]
86,47 unequal: No Solution
Exploring Operation: 36*50=1800, Resulting Numbers: [1800]
1800,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 47:[25, 38], Operations: ['86-84=2', '36+2=38']
Exploring Operation: 38-25=13, Resulting Numbers: [13]
13,47 unequal: No Solution
Exploring Operation: 25*38=950, Resulting Numbers: [950]
950,47 unequal: No Solution
Exploring Operation: 25+38=63, Resulting Numbers: [63]
63,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 47:[36, 27], Operations: ['86-84=2', '25+2=27']
Exploring Operation: 36+27=63, Resulting Numbers: [63]
63,47 unequal: No Solution
Exploring Operation: 36*27=972, Resulting Numbers: [972]
972,47 unequal: No Solution
Exploring Operation: 36-27=9, Resulting Numbers: [9]
9,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 47:[36, 23], Operations: ['86-84=2', '25-2=23']
Exploring Operation: 36*23=828, Resulting Numbers: [828]
828,47 unequal: No Solution
Exploring Operation: 36-23=13, Resulting Numbers: [13]
13,47 unequal: No Solution
Exploring Operation: 36+23=59, Resulting Numbers: [59]
59,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 47:[25, 34], Operations: ['86-84=2', '36-2=34']
Exploring Operation: 25+34=59, Resulting Numbers: [59]
59,47 unequal: No Solution
Exploring Operation: 34-25=9, Resulting Numbers: [9]
9,47 unequal: No Solution
Exploring Operation: 25*34=850, Resulting Numbers: [850]
850,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
30,
30,
45,
82
] | 97 | [
"30+30=60",
"82-45=37",
"60+37=97"
] | Current State: 97:[30, 30, 45, 82], Operations: []
Exploring Operation: 30+30=60, Resulting Numbers: [45, 82, 60]
Generated Node #2: [45, 82, 60] from Operation: 30+30=60
Current State: 97:[45, 82, 60], Operations: ['30+30=60']
Exploring Operation: 82-45=37, Resulting Numbers: [60, 37]
Generated Node #3: [60, 37] from Operation: 82-45=37
Current State: 97:[60, 37], Operations: ['30+30=60', '82-45=37']
Exploring Operation: 60+37=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[30, 30, 45, 82], Operations: []
Exploring Operation: 30+30=60, Resulting Numbers: [45, 82, 60]
Generated Node #0,0: 97:[45, 82, 60] Operation: 30+30=60
Exploring Operation: 30+45=75, Resulting Numbers: [30, 82, 75]
Generated Node #0,1: 97:[30, 82, 75] Operation: 30+45=75
Start Sub Search at level 1: Moving to Node #0,0
Current State: 97:[45, 82, 60], Operations: ['30+30=60']
Exploring Operation: 45+60=105, Resulting Numbers: [82, 105]
Generated Node #0,0,0: 97:[82, 105] Operation: 45+60=105
Exploring Operation: 45+82=127, Resulting Numbers: [60, 127]
Generated Node #0,0,1: 97:[60, 127] Operation: 45+82=127
Moving to Node #0,0,0
Current State: 97:[82, 105], Operations: ['30+30=60', '45+60=105']
Exploring Operation: 105-82=23, Resulting Numbers: [23]
23,97 unequal: No Solution
Exploring Operation: 82+105=187, Resulting Numbers: [187]
187,97 unequal: No Solution
Moving to Node #0,0,1
Current State: 97:[60, 127], Operations: ['30+30=60', '45+82=127']
Exploring Operation: 60+127=187, Resulting Numbers: [187]
187,97 unequal: No Solution
Exploring Operation: 127-60=67, Resulting Numbers: [67]
67,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 97:[30, 82, 75], Operations: ['30+45=75']
Exploring Operation: 30+82=112, Resulting Numbers: [75, 112]
Generated Node #0,1,0: 97:[75, 112] Operation: 30+82=112
Exploring Operation: 30+75=105, Resulting Numbers: [82, 105]
Generated Node #0,1,1: 97:[82, 105] Operation: 30+75=105
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 97:[82, 105], Operations: ['30+45=75', '30+75=105']
Exploring Operation: 105-82=23, Resulting Numbers: [23]
23,97 unequal: No Solution
Exploring Operation: 82+105=187, Resulting Numbers: [187]
187,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 97:[75, 112], Operations: ['30+45=75', '30+82=112']
Exploring Operation: 112-75=37, Resulting Numbers: [37]
37,97 unequal: No Solution
Exploring Operation: 75+112=187, Resulting Numbers: [187]
187,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
6,
52,
49,
35
] | 70 | [
"6*35=210",
"52-49=3",
"210/3=70"
] | Current State: 70:[6, 52, 49, 35], Operations: []
Exploring Operation: 6*35=210, Resulting Numbers: [52, 49, 210]
Generated Node #2: [52, 49, 210] from Operation: 6*35=210
Current State: 70:[52, 49, 210], Operations: ['6*35=210']
Exploring Operation: 52-49=3, Resulting Numbers: [210, 3]
Generated Node #3: [210, 3] from Operation: 52-49=3
Current State: 70:[210, 3], Operations: ['6*35=210', '52-49=3']
Exploring Operation: 210/3=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[6, 52, 49, 35], Operations: []
Exploring Operation: 52-6=46, Resulting Numbers: [49, 35, 46]
Generated Node #0,0: 70:[49, 35, 46] Operation: 52-6=46
Exploring Operation: 52-49=3, Resulting Numbers: [6, 35, 3]
Generated Node #0,1: 70:[6, 35, 3] Operation: 52-49=3
Exploring Operation: 52-35=17, Resulting Numbers: [6, 49, 17]
Generated Node #0,2: 70:[6, 49, 17] Operation: 52-35=17
Exploring Operation: 49-35=14, Resulting Numbers: [6, 52, 14]
Generated Node #0,3: 70:[6, 52, 14] Operation: 49-35=14
Moving to Node #0,1
Current State: 70:[6, 35, 3], Operations: ['52-49=3']
Exploring Operation: 6+3=9, Resulting Numbers: [35, 9]
Generated Node #0,1,0: 70:[35, 9] Operation: 6+3=9
Exploring Operation: 6*3=18, Resulting Numbers: [35, 18]
Generated Node #0,1,1: 70:[35, 18] Operation: 6*3=18
Exploring Operation: 6/3=2, Resulting Numbers: [35, 2]
Generated Node #0,1,2: 70:[35, 2] Operation: 6/3=2
Exploring Operation: 6-3=3, Resulting Numbers: [35, 3]
Generated Node #0,1,3: 70:[35, 3] Operation: 6-3=3
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 70:[35, 2], Operations: ['52-49=3', '6/3=2']
Exploring Operation: 35+2=37, Resulting Numbers: [37]
37,70 unequal: No Solution
Exploring Operation: 35*2=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Moving to Node #0
Current State: 70:[6, 52, 49, 35], Operations: []
Exploring Operation: 52-49=3, Resulting Numbers: [6, 35, 3]
Generated Node #0,1: 70:[6, 35, 3] Operation: 52-49=3
Moving to Node #0,1
Current State: 70:[6, 35, 3], Operations: ['52-49=3']
Exploring Operation: 6/3=2, Resulting Numbers: [35, 2]
Generated Node #0,1,2: 70:[35, 2] Operation: 6/3=2
Moving to Node #0,1,2
Current State: 70:[35, 2], Operations: ['52-49=3', '6/3=2']
Exploring Operation: 35*2=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_4 | sum_heuristic |
[
16,
71,
40,
35
] | 57 | [
"16*35=560",
"560/40=14",
"71-14=57"
] | Current State: 57:[16, 71, 40, 35], Operations: []
Exploring Operation: 16*35=560, Resulting Numbers: [71, 40, 560]
Generated Node #2: [71, 40, 560] from Operation: 16*35=560
Current State: 57:[71, 40, 560], Operations: ['16*35=560']
Exploring Operation: 560/40=14, Resulting Numbers: [71, 14]
Generated Node #3: [71, 14] from Operation: 560/40=14
Current State: 57:[71, 14], Operations: ['16*35=560', '560/40=14']
Exploring Operation: 71-14=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[16, 71, 40, 35], Operations: []
Exploring Operation: 16+40=56, Resulting Numbers: [71, 35, 56]
Generated Node #0,0: 57:[71, 35, 56] Operation: 16+40=56
Exploring Operation: 40-35=5, Resulting Numbers: [16, 71, 5]
Generated Node #0,1: 57:[16, 71, 5] Operation: 40-35=5
Moving to Node #0,1
Current State: 57:[16, 71, 5], Operations: ['40-35=5']
Exploring Operation: 71-16=55, Resulting Numbers: [5, 55]
Generated Node #0,1,0: 57:[5, 55] Operation: 71-16=55
Exploring Operation: 71-5=66, Resulting Numbers: [16, 66]
Generated Node #0,1,1: 57:[16, 66] Operation: 71-5=66
Moving to Node #0,0
Current State: 57:[71, 35, 56], Operations: ['16+40=56']
Exploring Operation: 56-35=21, Resulting Numbers: [71, 21]
Generated Node #0,0,0: 57:[71, 21] Operation: 56-35=21
Exploring Operation: 71-35=36, Resulting Numbers: [56, 36]
Generated Node #0,0,1: 57:[56, 36] Operation: 71-35=36
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 57:[71, 21], Operations: ['16+40=56', '56-35=21']
Exploring Operation: 71+21=92, Resulting Numbers: [92]
92,57 unequal: No Solution
Exploring Operation: 71-21=50, Resulting Numbers: [50]
50,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 57:[56, 36], Operations: ['16+40=56', '71-35=36']
Exploring Operation: 56+36=92, Resulting Numbers: [92]
92,57 unequal: No Solution
Exploring Operation: 56-36=20, Resulting Numbers: [20]
20,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,0
Current State: 57:[5, 55], Operations: ['40-35=5', '71-16=55']
Exploring Operation: 55-5=50, Resulting Numbers: [50]
50,57 unequal: No Solution
Exploring Operation: 5+55=60, Resulting Numbers: [60]
60,57 unequal: No Solution
Moving to Node #0,1,1
Current State: 57:[16, 66], Operations: ['40-35=5', '71-5=66']
Exploring Operation: 66-16=50, Resulting Numbers: [50]
50,57 unequal: No Solution
Exploring Operation: 16+66=82, Resulting Numbers: [82]
82,57 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
41,
49,
35,
30
] | 38 | [
"41+49=90",
"90/30=3",
"35+3=38"
] | Current State: 38:[41, 49, 35, 30], Operations: []
Exploring Operation: 41+49=90, Resulting Numbers: [35, 30, 90]
Generated Node #2: [35, 30, 90] from Operation: 41+49=90
Current State: 38:[35, 30, 90], Operations: ['41+49=90']
Exploring Operation: 90/30=3, Resulting Numbers: [35, 3]
Generated Node #3: [35, 3] from Operation: 90/30=3
Current State: 38:[35, 3], Operations: ['41+49=90', '90/30=3']
Exploring Operation: 35+3=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[41, 49, 35, 30], Operations: []
Exploring Operation: 49-41=8, Resulting Numbers: [35, 30, 8]
Generated Node #0,0: 38:[35, 30, 8] Operation: 49-41=8
Exploring Operation: 49-30=19, Resulting Numbers: [41, 35, 19]
Generated Node #0,1: 38:[41, 35, 19] Operation: 49-30=19
Exploring Operation: 35-30=5, Resulting Numbers: [41, 49, 5]
Generated Node #0,2: 38:[41, 49, 5] Operation: 35-30=5
Exploring Operation: 49-35=14, Resulting Numbers: [41, 30, 14]
Generated Node #0,3: 38:[41, 30, 14] Operation: 49-35=14
Start Sub Search at level 1: Moving to Node #0,1
Current State: 38:[41, 35, 19], Operations: ['49-30=19']
Exploring Operation: 35-19=16, Resulting Numbers: [41, 16]
Generated Node #0,1,0: 38:[41, 16] Operation: 35-19=16
Exploring Operation: 41-35=6, Resulting Numbers: [19, 6]
Generated Node #0,1,1: 38:[19, 6] Operation: 41-35=6
Exploring Operation: 41-19=22, Resulting Numbers: [35, 22]
Generated Node #0,1,2: 38:[35, 22] Operation: 41-19=22
Exploring Operation: 35+19=54, Resulting Numbers: [41, 54]
Generated Node #0,1,3: 38:[41, 54] Operation: 35+19=54
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 38:[19, 6], Operations: ['49-30=19', '41-35=6']
Exploring Operation: 19*6=114, Resulting Numbers: [114]
114,38 unequal: No Solution
Exploring Operation: 19-6=13, Resulting Numbers: [13]
13,38 unequal: No Solution
Exploring Operation: 19+6=25, Resulting Numbers: [25]
25,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 38:[41, 16], Operations: ['49-30=19', '35-19=16']
Exploring Operation: 41+16=57, Resulting Numbers: [57]
57,38 unequal: No Solution
Exploring Operation: 41*16=656, Resulting Numbers: [656]
656,38 unequal: No Solution
Exploring Operation: 41-16=25, Resulting Numbers: [25]
25,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 38:[35, 22], Operations: ['49-30=19', '41-19=22']
Exploring Operation: 35*22=770, Resulting Numbers: [770]
770,38 unequal: No Solution
Exploring Operation: 35-22=13, Resulting Numbers: [13]
13,38 unequal: No Solution
Exploring Operation: 35+22=57, Resulting Numbers: [57]
57,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 38:[41, 54], Operations: ['49-30=19', '35+19=54']
Exploring Operation: 41*54=2214, Resulting Numbers: [2214]
2214,38 unequal: No Solution
Exploring Operation: 54-41=13, Resulting Numbers: [13]
13,38 unequal: No Solution
Exploring Operation: 41+54=95, Resulting Numbers: [95]
95,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 38:[41, 30, 14], Operations: ['49-35=14']
Exploring Operation: 41-30=11, Resulting Numbers: [14, 11]
Generated Node #0,3,0: 38:[14, 11] Operation: 41-30=11
Exploring Operation: 41-14=27, Resulting Numbers: [30, 27]
Generated Node #0,3,1: 38:[30, 27] Operation: 41-14=27
Exploring Operation: 30+14=44, Resulting Numbers: [41, 44]
Generated Node #0,3,2: 38:[41, 44] Operation: 30+14=44
Exploring Operation: 30-14=16, Resulting Numbers: [41, 16]
Generated Node #0,3,3: 38:[41, 16] Operation: 30-14=16
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 38:[41, 16], Operations: ['49-35=14', '30-14=16']
Exploring Operation: 41+16=57, Resulting Numbers: [57]
57,38 unequal: No Solution
Exploring Operation: 41*16=656, Resulting Numbers: [656]
656,38 unequal: No Solution
Exploring Operation: 41-16=25, Resulting Numbers: [25]
25,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 38:[41, 44], Operations: ['49-35=14', '30+14=44']
Exploring Operation: 41*44=1804, Resulting Numbers: [1804]
1804,38 unequal: No Solution
Exploring Operation: 44-41=3, Resulting Numbers: [3]
3,38 unequal: No Solution
Exploring Operation: 41+44=85, Resulting Numbers: [85]
85,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 38:[14, 11], Operations: ['49-35=14', '41-30=11']
Exploring Operation: 14*11=154, Resulting Numbers: [154]
154,38 unequal: No Solution
Exploring Operation: 14-11=3, Resulting Numbers: [3]
3,38 unequal: No Solution
Exploring Operation: 14+11=25, Resulting Numbers: [25]
25,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 38:[30, 27], Operations: ['49-35=14', '41-14=27']
Exploring Operation: 30*27=810, Resulting Numbers: [810]
810,38 unequal: No Solution
Exploring Operation: 30+27=57, Resulting Numbers: [57]
57,38 unequal: No Solution
Exploring Operation: 30-27=3, Resulting Numbers: [3]
3,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 38:[35, 30, 8], Operations: ['49-41=8']
Exploring Operation: 35-30=5, Resulting Numbers: [8, 5]
Generated Node #0,0,0: 38:[8, 5] Operation: 35-30=5
Exploring Operation: 30-8=22, Resulting Numbers: [35, 22]
Generated Node #0,0,1: 38:[35, 22] Operation: 30-8=22
Exploring Operation: 30+8=38, Resulting Numbers: [35, 38]
Generated Node #0,0,2: 38:[35, 38] Operation: 30+8=38
Exploring Operation: 35+8=43, Resulting Numbers: [30, 43]
Generated Node #0,0,3: 38:[30, 43] Operation: 35+8=43
Moving to Node #0,0,2
Current State: 38:[35, 38], Operations: ['49-41=8', '30+8=38']
Exploring Operation: 38-35=3, Resulting Numbers: [3]
3,38 unequal: No Solution
Exploring Operation: 35+38=73, Resulting Numbers: [73]
73,38 unequal: No Solution
Exploring Operation: 35*38=1330, Resulting Numbers: [1330]
1330,38 unequal: No Solution
Moving to Node #0,0,1
Current State: 38:[35, 22], Operations: ['49-41=8', '30-8=22']
Exploring Operation: 35*22=770, Resulting Numbers: [770]
770,38 unequal: No Solution
Exploring Operation: 35+22=57, Resulting Numbers: [57]
57,38 unequal: No Solution
Exploring Operation: 35-22=13, Resulting Numbers: [13]
13,38 unequal: No Solution
Moving to Node #0,0,0
Current State: 38:[8, 5], Operations: ['49-41=8', '35-30=5']
Exploring Operation: 8*5=40, Resulting Numbers: [40]
40,38 unequal: No Solution
Exploring Operation: 8-5=3, Resulting Numbers: [3]
3,38 unequal: No Solution
Exploring Operation: 8+5=13, Resulting Numbers: [13]
13,38 unequal: No Solution
Moving to Node #0,0,3
Current State: 38:[30, 43], Operations: ['49-41=8', '35+8=43']
Exploring Operation: 30*43=1290, Resulting Numbers: [1290]
1290,38 unequal: No Solution
Exploring Operation: 43-30=13, Resulting Numbers: [13]
13,38 unequal: No Solution
Exploring Operation: 30+43=73, Resulting Numbers: [73]
73,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 38:[41, 49, 5], Operations: ['35-30=5']
Exploring Operation: 41+5=46, Resulting Numbers: [49, 46]
Generated Node #0,2,0: 38:[49, 46] Operation: 41+5=46
Exploring Operation: 41-5=36, Resulting Numbers: [49, 36]
Generated Node #0,2,1: 38:[49, 36] Operation: 41-5=36
Exploring Operation: 49-41=8, Resulting Numbers: [5, 8]
Generated Node #0,2,2: 38:[5, 8] Operation: 49-41=8
Exploring Operation: 49-5=44, Resulting Numbers: [41, 44]
Generated Node #0,2,3: 38:[41, 44] Operation: 49-5=44
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 38:[5, 8], Operations: ['35-30=5', '49-41=8']
Exploring Operation: 5+8=13, Resulting Numbers: [13]
13,38 unequal: No Solution
Exploring Operation: 5*8=40, Resulting Numbers: [40]
40,38 unequal: No Solution
Exploring Operation: 8-5=3, Resulting Numbers: [3]
3,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 38:[41, 44], Operations: ['35-30=5', '49-5=44']
Exploring Operation: 41*44=1804, Resulting Numbers: [1804]
1804,38 unequal: No Solution
Exploring Operation: 41+44=85, Resulting Numbers: [85]
85,38 unequal: No Solution
Exploring Operation: 44-41=3, Resulting Numbers: [3]
3,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 38:[49, 36], Operations: ['35-30=5', '41-5=36']
Exploring Operation: 49+36=85, Resulting Numbers: [85]
85,38 unequal: No Solution
Exploring Operation: 49*36=1764, Resulting Numbers: [1764]
1764,38 unequal: No Solution
Exploring Operation: 49-36=13, Resulting Numbers: [13]
13,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 38:[49, 46], Operations: ['35-30=5', '41+5=46']
Exploring Operation: 49+46=95, Resulting Numbers: [95]
95,38 unequal: No Solution
Exploring Operation: 49*46=2254, Resulting Numbers: [2254]
2254,38 unequal: No Solution
Exploring Operation: 49-46=3, Resulting Numbers: [3]
3,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
41,
9,
57,
83
] | 11 | [
"57-41=16",
"83+16=99",
"99/9=11"
] | Current State: 11:[41, 9, 57, 83], Operations: []
Exploring Operation: 57-41=16, Resulting Numbers: [9, 83, 16]
Generated Node #2: [9, 83, 16] from Operation: 57-41=16
Current State: 11:[9, 83, 16], Operations: ['57-41=16']
Exploring Operation: 83+16=99, Resulting Numbers: [9, 99]
Generated Node #3: [9, 99] from Operation: 83+16=99
Current State: 11:[9, 99], Operations: ['57-41=16', '83+16=99']
Exploring Operation: 99/9=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[41, 9, 57, 83], Operations: []
Exploring Operation: 57-41=16, Resulting Numbers: [9, 83, 16]
Generated Node #0,0: 11:[9, 83, 16] Operation: 57-41=16
Exploring Operation: 83-57=26, Resulting Numbers: [41, 9, 26]
Generated Node #0,1: 11:[41, 9, 26] Operation: 83-57=26
Exploring Operation: 83-41=42, Resulting Numbers: [9, 57, 42]
Generated Node #0,2: 11:[9, 57, 42] Operation: 83-41=42
Start Sub Search at level 1: Moving to Node #0,1
Current State: 11:[41, 9, 26], Operations: ['83-57=26']
Exploring Operation: 41-9=32, Resulting Numbers: [26, 32]
Generated Node #0,1,0: 11:[26, 32] Operation: 41-9=32
Exploring Operation: 41-26=15, Resulting Numbers: [9, 15]
Generated Node #0,1,1: 11:[9, 15] Operation: 41-26=15
Exploring Operation: 26-9=17, Resulting Numbers: [41, 17]
Generated Node #0,1,2: 11:[41, 17] Operation: 26-9=17
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 11:[9, 15], Operations: ['83-57=26', '41-26=15']
Exploring Operation: 9+15=24, Resulting Numbers: [24]
24,11 unequal: No Solution
Exploring Operation: 15-9=6, Resulting Numbers: [6]
6,11 unequal: No Solution
Exploring Operation: 9*15=135, Resulting Numbers: [135]
135,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 11:[26, 32], Operations: ['83-57=26', '41-9=32']
Exploring Operation: 32-26=6, Resulting Numbers: [6]
6,11 unequal: No Solution
Exploring Operation: 26+32=58, Resulting Numbers: [58]
58,11 unequal: No Solution
Exploring Operation: 26*32=832, Resulting Numbers: [832]
832,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 11:[41, 17], Operations: ['83-57=26', '26-9=17']
Exploring Operation: 41+17=58, Resulting Numbers: [58]
58,11 unequal: No Solution
Exploring Operation: 41-17=24, Resulting Numbers: [24]
24,11 unequal: No Solution
Exploring Operation: 41*17=697, Resulting Numbers: [697]
697,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 11:[9, 83, 16], Operations: ['57-41=16']
Exploring Operation: 83-9=74, Resulting Numbers: [16, 74]
Generated Node #0,0,0: 11:[16, 74] Operation: 83-9=74
Exploring Operation: 16-9=7, Resulting Numbers: [83, 7]
Generated Node #0,0,1: 11:[83, 7] Operation: 16-9=7
Exploring Operation: 83-16=67, Resulting Numbers: [9, 67]
Generated Node #0,0,2: 11:[9, 67] Operation: 83-16=67
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 11:[9, 67], Operations: ['57-41=16', '83-16=67']
Exploring Operation: 9+67=76, Resulting Numbers: [76]
76,11 unequal: No Solution
Exploring Operation: 9*67=603, Resulting Numbers: [603]
603,11 unequal: No Solution
Exploring Operation: 67-9=58, Resulting Numbers: [58]
58,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 11:[16, 74], Operations: ['57-41=16', '83-9=74']
Exploring Operation: 16*74=1184, Resulting Numbers: [1184]
1184,11 unequal: No Solution
Exploring Operation: 16+74=90, Resulting Numbers: [90]
90,11 unequal: No Solution
Exploring Operation: 74-16=58, Resulting Numbers: [58]
58,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 11:[83, 7], Operations: ['57-41=16', '16-9=7']
Exploring Operation: 83+7=90, Resulting Numbers: [90]
90,11 unequal: No Solution
Exploring Operation: 83*7=581, Resulting Numbers: [581]
581,11 unequal: No Solution
Exploring Operation: 83-7=76, Resulting Numbers: [76]
76,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 11:[9, 57, 42], Operations: ['83-41=42']
Exploring Operation: 42-9=33, Resulting Numbers: [57, 33]
Generated Node #0,2,0: 11:[57, 33] Operation: 42-9=33
Exploring Operation: 57-42=15, Resulting Numbers: [9, 15]
Generated Node #0,2,1: 11:[9, 15] Operation: 57-42=15
Exploring Operation: 57-9=48, Resulting Numbers: [42, 48]
Generated Node #0,2,2: 11:[42, 48] Operation: 57-9=48
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 11:[9, 15], Operations: ['83-41=42', '57-42=15']
Exploring Operation: 9*15=135, Resulting Numbers: [135]
135,11 unequal: No Solution
Exploring Operation: 15-9=6, Resulting Numbers: [6]
6,11 unequal: No Solution
Exploring Operation: 9+15=24, Resulting Numbers: [24]
24,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 11:[57, 33], Operations: ['83-41=42', '42-9=33']
Exploring Operation: 57-33=24, Resulting Numbers: [24]
24,11 unequal: No Solution
Exploring Operation: 57+33=90, Resulting Numbers: [90]
90,11 unequal: No Solution
Exploring Operation: 57*33=1881, Resulting Numbers: [1881]
1881,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 11:[42, 48], Operations: ['83-41=42', '57-9=48']
Exploring Operation: 42*48=2016, Resulting Numbers: [2016]
2016,11 unequal: No Solution
Exploring Operation: 48-42=6, Resulting Numbers: [6]
6,11 unequal: No Solution
Exploring Operation: 42+48=90, Resulting Numbers: [90]
90,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
87,
71,
3,
80
] | 61 | [
"87-71=16",
"80-3=77",
"77-16=61"
] | Current State: 61:[87, 71, 3, 80], Operations: []
Exploring Operation: 87-71=16, Resulting Numbers: [3, 80, 16]
Generated Node #2: [3, 80, 16] from Operation: 87-71=16
Current State: 61:[3, 80, 16], Operations: ['87-71=16']
Exploring Operation: 80-3=77, Resulting Numbers: [16, 77]
Generated Node #3: [16, 77] from Operation: 80-3=77
Current State: 61:[16, 77], Operations: ['87-71=16', '80-3=77']
Exploring Operation: 77-16=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[87, 71, 3, 80], Operations: []
Exploring Operation: 87+3=90, Resulting Numbers: [71, 80, 90]
Generated Node #0,0: 61:[71, 80, 90] Operation: 87+3=90
Exploring Operation: 80-3=77, Resulting Numbers: [87, 71, 77]
Generated Node #0,1: 61:[87, 71, 77] Operation: 80-3=77
Exploring Operation: 71+3=74, Resulting Numbers: [87, 80, 74]
Generated Node #0,2: 61:[87, 80, 74] Operation: 71+3=74
Exploring Operation: 71-3=68, Resulting Numbers: [87, 80, 68]
Generated Node #0,3: 61:[87, 80, 68] Operation: 71-3=68
Exploring Operation: 87-3=84, Resulting Numbers: [71, 80, 84]
Generated Node #0,4: 61:[71, 80, 84] Operation: 87-3=84
Start Sub Search at level 1: Moving to Node #0,1
Current State: 61:[87, 71, 77], Operations: ['80-3=77']
Exploring Operation: 87+71=158, Resulting Numbers: [77, 158]
Generated Node #0,1,0: 61:[77, 158] Operation: 87+71=158
Exploring Operation: 87-77=10, Resulting Numbers: [71, 10]
Generated Node #0,1,1: 61:[71, 10] Operation: 87-77=10
Exploring Operation: 77-71=6, Resulting Numbers: [87, 6]
Generated Node #0,1,2: 61:[87, 6] Operation: 77-71=6
Exploring Operation: 87-71=16, Resulting Numbers: [77, 16]
Generated Node #0,1,3: 61:[77, 16] Operation: 87-71=16
Exploring Operation: 87+77=164, Resulting Numbers: [71, 164]
Generated Node #0,1,4: 61:[71, 164] Operation: 87+77=164
Moving to Node #0,1,1
Current State: 61:[71, 10], Operations: ['80-3=77', '87-77=10']
Exploring Operation: 71-10=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Moving to Node #0
Current State: 61:[87, 71, 3, 80], Operations: []
Exploring Operation: 80-3=77, Resulting Numbers: [87, 71, 77]
Generated Node #0,1: 61:[87, 71, 77] Operation: 80-3=77
Moving to Node #0,1
Current State: 61:[87, 71, 77], Operations: ['80-3=77']
Exploring Operation: 87-77=10, Resulting Numbers: [71, 10]
Generated Node #0,1,1: 61:[71, 10] Operation: 87-77=10
Moving to Node #0,1,1
Current State: 61:[71, 10], Operations: ['80-3=77', '87-77=10']
Exploring Operation: 71-10=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_5 | sum_heuristic |
[
20,
3,
35,
83
] | 84 | [
"20+35=55",
"83-55=28",
"3*28=84"
] | Current State: 84:[20, 3, 35, 83], Operations: []
Exploring Operation: 20+35=55, Resulting Numbers: [3, 83, 55]
Generated Node #2: [3, 83, 55] from Operation: 20+35=55
Current State: 84:[3, 83, 55], Operations: ['20+35=55']
Exploring Operation: 83-55=28, Resulting Numbers: [3, 28]
Generated Node #3: [3, 28] from Operation: 83-55=28
Current State: 84:[3, 28], Operations: ['20+35=55', '83-55=28']
Exploring Operation: 3*28=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[20, 3, 35, 83], Operations: []
Exploring Operation: 3+35=38, Resulting Numbers: [20, 83, 38]
Generated Node #0,0: 84:[20, 83, 38] Operation: 3+35=38
Exploring Operation: 35-20=15, Resulting Numbers: [3, 83, 15]
Generated Node #0,1: 84:[3, 83, 15] Operation: 35-20=15
Exploring Operation: 83-35=48, Resulting Numbers: [20, 3, 48]
Generated Node #0,2: 84:[20, 3, 48] Operation: 83-35=48
Exploring Operation: 35-3=32, Resulting Numbers: [20, 83, 32]
Generated Node #0,3: 84:[20, 83, 32] Operation: 35-3=32
Moving to Node #0,1
Current State: 84:[3, 83, 15], Operations: ['35-20=15']
Exploring Operation: 15-3=12, Resulting Numbers: [83, 12]
Generated Node #0,1,0: 84:[83, 12] Operation: 15-3=12
Exploring Operation: 3+15=18, Resulting Numbers: [83, 18]
Generated Node #0,1,1: 84:[83, 18] Operation: 3+15=18
Exploring Operation: 3+83=86, Resulting Numbers: [15, 86]
Generated Node #0,1,2: 84:[15, 86] Operation: 3+83=86
Exploring Operation: 15/3=5, Resulting Numbers: [83, 5]
Generated Node #0,1,3: 84:[83, 5] Operation: 15/3=5
Moving to Node #0,3
Current State: 84:[20, 83, 32], Operations: ['35-3=32']
Exploring Operation: 20+83=103, Resulting Numbers: [32, 103]
Generated Node #0,3,0: 84:[32, 103] Operation: 20+83=103
Exploring Operation: 20+32=52, Resulting Numbers: [83, 52]
Generated Node #0,3,1: 84:[83, 52] Operation: 20+32=52
Exploring Operation: 32-20=12, Resulting Numbers: [83, 12]
Generated Node #0,3,2: 84:[83, 12] Operation: 32-20=12
Exploring Operation: 83-32=51, Resulting Numbers: [20, 51]
Generated Node #0,3,3: 84:[20, 51] Operation: 83-32=51
Moving to Node #0,0
Current State: 84:[20, 83, 38], Operations: ['3+35=38']
Exploring Operation: 83-38=45, Resulting Numbers: [20, 45]
Generated Node #0,0,0: 84:[20, 45] Operation: 83-38=45
Exploring Operation: 20+38=58, Resulting Numbers: [83, 58]
Generated Node #0,0,1: 84:[83, 58] Operation: 20+38=58
Exploring Operation: 20+83=103, Resulting Numbers: [38, 103]
Generated Node #0,0,2: 84:[38, 103] Operation: 20+83=103
Exploring Operation: 38-20=18, Resulting Numbers: [83, 18]
Generated Node #0,0,3: 84:[83, 18] Operation: 38-20=18
Moving to Node #0,2
Current State: 84:[20, 3, 48], Operations: ['83-35=48']
Exploring Operation: 48-20=28, Resulting Numbers: [3, 28]
Generated Node #0,2,0: 84:[3, 28] Operation: 48-20=28
Exploring Operation: 48/3=16, Resulting Numbers: [20, 16]
Generated Node #0,2,1: 84:[20, 16] Operation: 48/3=16
Exploring Operation: 48-3=45, Resulting Numbers: [20, 45]
Generated Node #0,2,2: 84:[20, 45] Operation: 48-3=45
Exploring Operation: 20+3=23, Resulting Numbers: [48, 23]
Generated Node #0,2,3: 84:[48, 23] Operation: 20+3=23
Moving to Node #0,2,0
Current State: 84:[3, 28], Operations: ['83-35=48', '48-20=28']
Exploring Operation: 28-3=25, Resulting Numbers: [25]
25,84 unequal: No Solution
Exploring Operation: 3*28=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[20, 3, 35, 83], Operations: []
Exploring Operation: 83-35=48, Resulting Numbers: [20, 3, 48]
Generated Node #0,2: 84:[20, 3, 48] Operation: 83-35=48
Moving to Node #0,2
Current State: 84:[20, 3, 48], Operations: ['83-35=48']
Exploring Operation: 48-20=28, Resulting Numbers: [3, 28]
Generated Node #0,2,0: 84:[3, 28] Operation: 48-20=28
Moving to Node #0,2,0
Current State: 84:[3, 28], Operations: ['83-35=48', '48-20=28']
Exploring Operation: 3*28=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 0.977431 | hs_4 | mult_heuristic |
[
66,
90,
54,
49
] | 19 | [
"90-66=24",
"54-49=5",
"24-5=19"
] | Current State: 19:[66, 90, 54, 49], Operations: []
Exploring Operation: 90-66=24, Resulting Numbers: [54, 49, 24]
Generated Node #2: [54, 49, 24] from Operation: 90-66=24
Current State: 19:[54, 49, 24], Operations: ['90-66=24']
Exploring Operation: 54-49=5, Resulting Numbers: [24, 5]
Generated Node #3: [24, 5] from Operation: 54-49=5
Current State: 19:[24, 5], Operations: ['90-66=24', '54-49=5']
Exploring Operation: 24-5=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[66, 90, 54, 49], Operations: []
Exploring Operation: 90-66=24, Resulting Numbers: [54, 49, 24]
Generated Node #0,0: 19:[54, 49, 24] Operation: 90-66=24
Moving to Node #0,0
Current State: 19:[54, 49, 24], Operations: ['90-66=24']
Exploring Operation: 54-49=5, Resulting Numbers: [24, 5]
Generated Node #0,0,0: 19:[24, 5] Operation: 54-49=5
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 19:[24, 5], Operations: ['90-66=24', '54-49=5']
Exploring Operation: 24-5=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Moving to Node #0
Current State: 19:[66, 90, 54, 49], Operations: []
Exploring Operation: 90-66=24, Resulting Numbers: [54, 49, 24]
Generated Node #0,0: 19:[54, 49, 24] Operation: 90-66=24
Moving to Node #0,0
Current State: 19:[54, 49, 24], Operations: ['90-66=24']
Exploring Operation: 54-49=5, Resulting Numbers: [24, 5]
Generated Node #0,0,0: 19:[24, 5] Operation: 54-49=5
Moving to Node #0,0,0
Current State: 19:[24, 5], Operations: ['90-66=24', '54-49=5']
Exploring Operation: 24-5=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
17,
51,
42,
53
] | 79 | [
"17+51=68",
"53-42=11",
"68+11=79"
] | Current State: 79:[17, 51, 42, 53], Operations: []
Exploring Operation: 17+51=68, Resulting Numbers: [42, 53, 68]
Generated Node #2: [42, 53, 68] from Operation: 17+51=68
Current State: 79:[42, 53, 68], Operations: ['17+51=68']
Exploring Operation: 53-42=11, Resulting Numbers: [68, 11]
Generated Node #3: [68, 11] from Operation: 53-42=11
Current State: 79:[68, 11], Operations: ['17+51=68', '53-42=11']
Exploring Operation: 68+11=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[17, 51, 42, 53], Operations: []
Exploring Operation: 17+51=68, Resulting Numbers: [42, 53, 68]
Generated Node #0,0: 79:[42, 53, 68] Operation: 17+51=68
Exploring Operation: 17+42=59, Resulting Numbers: [51, 53, 59]
Generated Node #0,1: 79:[51, 53, 59] Operation: 17+42=59
Exploring Operation: 51+42=93, Resulting Numbers: [17, 53, 93]
Generated Node #0,2: 79:[17, 53, 93] Operation: 51+42=93
Exploring Operation: 17+53=70, Resulting Numbers: [51, 42, 70]
Generated Node #0,3: 79:[51, 42, 70] Operation: 17+53=70
Moving to Node #0,0
Current State: 79:[42, 53, 68], Operations: ['17+51=68']
Exploring Operation: 53-42=11, Resulting Numbers: [68, 11]
Generated Node #0,0,0: 79:[68, 11] Operation: 53-42=11
Exploring Operation: 42+68=110, Resulting Numbers: [53, 110]
Generated Node #0,0,1: 79:[53, 110] Operation: 42+68=110
Exploring Operation: 42+53=95, Resulting Numbers: [68, 95]
Generated Node #0,0,2: 79:[68, 95] Operation: 42+53=95
Exploring Operation: 68-42=26, Resulting Numbers: [53, 26]
Generated Node #0,0,3: 79:[53, 26] Operation: 68-42=26
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 79:[68, 95], Operations: ['17+51=68', '42+53=95']
Exploring Operation: 68+95=163, Resulting Numbers: [163]
163,79 unequal: No Solution
Exploring Operation: 68*95=6460, Resulting Numbers: [6460]
6460,79 unequal: No Solution
Exploring Operation: 95-68=27, Resulting Numbers: [27]
27,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 79:[53, 110], Operations: ['17+51=68', '42+68=110']
Exploring Operation: 110-53=57, Resulting Numbers: [57]
57,79 unequal: No Solution
Exploring Operation: 53*110=5830, Resulting Numbers: [5830]
5830,79 unequal: No Solution
Exploring Operation: 53+110=163, Resulting Numbers: [163]
163,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 79:[68, 11], Operations: ['17+51=68', '53-42=11']
Exploring Operation: 68-11=57, Resulting Numbers: [57]
57,79 unequal: No Solution
Exploring Operation: 68*11=748, Resulting Numbers: [748]
748,79 unequal: No Solution
Exploring Operation: 68+11=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Moving to Node #0
Current State: 79:[17, 51, 42, 53], Operations: []
Exploring Operation: 17+51=68, Resulting Numbers: [42, 53, 68]
Generated Node #0,0: 79:[42, 53, 68] Operation: 17+51=68
Moving to Node #0,0
Current State: 79:[42, 53, 68], Operations: ['17+51=68']
Exploring Operation: 53-42=11, Resulting Numbers: [68, 11]
Generated Node #0,0,0: 79:[68, 11] Operation: 53-42=11
Moving to Node #0,0,0
Current State: 79:[68, 11], Operations: ['17+51=68', '53-42=11']
Exploring Operation: 68+11=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 | hs_4 | sum_heuristic |
[
18,
65,
25,
85
] | 23 | [
"18+65=83",
"85-25=60",
"83-60=23"
] | Current State: 23:[18, 65, 25, 85], Operations: []
Exploring Operation: 18+65=83, Resulting Numbers: [25, 85, 83]
Generated Node #2: [25, 85, 83] from Operation: 18+65=83
Current State: 23:[25, 85, 83], Operations: ['18+65=83']
Exploring Operation: 85-25=60, Resulting Numbers: [83, 60]
Generated Node #3: [83, 60] from Operation: 85-25=60
Current State: 23:[83, 60], Operations: ['18+65=83', '85-25=60']
Exploring Operation: 83-60=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[18, 65, 25, 85], Operations: []
Exploring Operation: 85-25=60, Resulting Numbers: [18, 65, 60]
Generated Node #0,0: 23:[18, 65, 60] Operation: 85-25=60
Exploring Operation: 85-65=20, Resulting Numbers: [18, 25, 20]
Generated Node #0,1: 23:[18, 25, 20] Operation: 85-65=20
Exploring Operation: 65-18=47, Resulting Numbers: [25, 85, 47]
Generated Node #0,2: 23:[25, 85, 47] Operation: 65-18=47
Exploring Operation: 65-25=40, Resulting Numbers: [18, 85, 40]
Generated Node #0,3: 23:[18, 85, 40] Operation: 65-25=40
Moving to Node #0,1
Current State: 23:[18, 25, 20], Operations: ['85-65=20']
Exploring Operation: 18+20=38, Resulting Numbers: [25, 38]
Generated Node #0,1,0: 23:[25, 38] Operation: 18+20=38
Exploring Operation: 25-18=7, Resulting Numbers: [20, 7]
Generated Node #0,1,1: 23:[20, 7] Operation: 25-18=7
Exploring Operation: 20-18=2, Resulting Numbers: [25, 2]
Generated Node #0,1,2: 23:[25, 2] Operation: 20-18=2
Exploring Operation: 18+25=43, Resulting Numbers: [20, 43]
Generated Node #0,1,3: 23:[20, 43] Operation: 18+25=43
Moving to Node #0,3
Current State: 23:[18, 85, 40], Operations: ['65-25=40']
Exploring Operation: 40-18=22, Resulting Numbers: [85, 22]
Generated Node #0,3,0: 23:[85, 22] Operation: 40-18=22
Exploring Operation: 85-18=67, Resulting Numbers: [40, 67]
Generated Node #0,3,1: 23:[40, 67] Operation: 85-18=67
Exploring Operation: 18+85=103, Resulting Numbers: [40, 103]
Generated Node #0,3,2: 23:[40, 103] Operation: 18+85=103
Exploring Operation: 85-40=45, Resulting Numbers: [18, 45]
Generated Node #0,3,3: 23:[18, 45] Operation: 85-40=45
Moving to Node #0,0
Current State: 23:[18, 65, 60], Operations: ['85-25=60']
Exploring Operation: 65-60=5, Resulting Numbers: [18, 5]
Generated Node #0,0,0: 23:[18, 5] Operation: 65-60=5
Exploring Operation: 60-18=42, Resulting Numbers: [65, 42]
Generated Node #0,0,1: 23:[65, 42] Operation: 60-18=42
Exploring Operation: 65-18=47, Resulting Numbers: [60, 47]
Generated Node #0,0,2: 23:[60, 47] Operation: 65-18=47
Exploring Operation: 18+65=83, Resulting Numbers: [60, 83]
Generated Node #0,0,3: 23:[60, 83] Operation: 18+65=83
Moving to Node #0,2
Current State: 23:[25, 85, 47], Operations: ['65-18=47']
Exploring Operation: 47-25=22, Resulting Numbers: [85, 22]
Generated Node #0,2,0: 23:[85, 22] Operation: 47-25=22
Exploring Operation: 25+85=110, Resulting Numbers: [47, 110]
Generated Node #0,2,1: 23:[47, 110] Operation: 25+85=110
Exploring Operation: 85-25=60, Resulting Numbers: [47, 60]
Generated Node #0,2,2: 23:[47, 60] Operation: 85-25=60
Exploring Operation: 85-47=38, Resulting Numbers: [25, 38]
Generated Node #0,2,3: 23:[25, 38] Operation: 85-47=38
Moving to Node #0,1,0
Current State: 23:[25, 38], Operations: ['85-65=20', '18+20=38']
Exploring Operation: 38-25=13, Resulting Numbers: [13]
13,23 unequal: No Solution
Exploring Operation: 25+38=63, Resulting Numbers: [63]
63,23 unequal: No Solution
Exploring Operation: 25*38=950, Resulting Numbers: [950]
950,23 unequal: No Solution
Moving to Node #0,2,3
Current State: 23:[25, 38], Operations: ['65-18=47', '85-47=38']
Exploring Operation: 25*38=950, Resulting Numbers: [950]
950,23 unequal: No Solution
Exploring Operation: 25+38=63, Resulting Numbers: [63]
63,23 unequal: No Solution
Exploring Operation: 38-25=13, Resulting Numbers: [13]
13,23 unequal: No Solution
Moving to Node #0,1,1
Current State: 23:[20, 7], Operations: ['85-65=20', '25-18=7']
Exploring Operation: 20+7=27, Resulting Numbers: [27]
27,23 unequal: No Solution
Exploring Operation: 20-7=13, Resulting Numbers: [13]
13,23 unequal: No Solution
Exploring Operation: 20*7=140, Resulting Numbers: [140]
140,23 unequal: No Solution
Moving to Node #0,1,2
Current State: 23:[25, 2], Operations: ['85-65=20', '20-18=2']
Exploring Operation: 25-2=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Moving to Node #0
Current State: 23:[18, 65, 25, 85], Operations: []
Exploring Operation: 85-65=20, Resulting Numbers: [18, 25, 20]
Generated Node #0,1: 23:[18, 25, 20] Operation: 85-65=20
Moving to Node #0,1
Current State: 23:[18, 25, 20], Operations: ['85-65=20']
Exploring Operation: 20-18=2, Resulting Numbers: [25, 2]
Generated Node #0,1,2: 23:[25, 2] Operation: 20-18=2
Moving to Node #0,1,2
Current State: 23:[25, 2], Operations: ['85-65=20', '20-18=2']
Exploring Operation: 25-2=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 0.970486 | hs_4 | mult_heuristic |
[
82,
50,
20,
6
] | 58 | [
"82-50=32",
"20+6=26",
"32+26=58"
] | Current State: 58:[82, 50, 20, 6], Operations: []
Exploring Operation: 82-50=32, Resulting Numbers: [20, 6, 32]
Generated Node #2: [20, 6, 32] from Operation: 82-50=32
Current State: 58:[20, 6, 32], Operations: ['82-50=32']
Exploring Operation: 20+6=26, Resulting Numbers: [32, 26]
Generated Node #3: [32, 26] from Operation: 20+6=26
Current State: 58:[32, 26], Operations: ['82-50=32', '20+6=26']
Exploring Operation: 32+26=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[82, 50, 20, 6], Operations: []
Exploring Operation: 82-20=62, Resulting Numbers: [50, 6, 62]
Generated Node #0,0: 58:[50, 6, 62] Operation: 82-20=62
Exploring Operation: 82-50=32, Resulting Numbers: [20, 6, 32]
Generated Node #0,1: 58:[20, 6, 32] Operation: 82-50=32
Exploring Operation: 50-20=30, Resulting Numbers: [82, 6, 30]
Generated Node #0,2: 58:[82, 6, 30] Operation: 50-20=30
Start Sub Search at level 1: Moving to Node #0,0
Current State: 58:[50, 6, 62], Operations: ['82-20=62']
Exploring Operation: 62-6=56, Resulting Numbers: [50, 56]
Generated Node #0,0,0: 58:[50, 56] Operation: 62-6=56
Exploring Operation: 50+6=56, Resulting Numbers: [62, 56]
Generated Node #0,0,1: 58:[62, 56] Operation: 50+6=56
Exploring Operation: 62-50=12, Resulting Numbers: [6, 12]
Generated Node #0,0,2: 58:[6, 12] Operation: 62-50=12
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 58:[62, 56], Operations: ['82-20=62', '50+6=56']
Exploring Operation: 62-56=6, Resulting Numbers: [6]
6,58 unequal: No Solution
Exploring Operation: 62*56=3472, Resulting Numbers: [3472]
3472,58 unequal: No Solution
Exploring Operation: 62+56=118, Resulting Numbers: [118]
118,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 58:[50, 56], Operations: ['82-20=62', '62-6=56']
Exploring Operation: 56-50=6, Resulting Numbers: [6]
6,58 unequal: No Solution
Exploring Operation: 50+56=106, Resulting Numbers: [106]
106,58 unequal: No Solution
Exploring Operation: 50*56=2800, Resulting Numbers: [2800]
2800,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 58:[6, 12], Operations: ['82-20=62', '62-50=12']
Exploring Operation: 12/6=2, Resulting Numbers: [2]
2,58 unequal: No Solution
Exploring Operation: 6+12=18, Resulting Numbers: [18]
18,58 unequal: No Solution
Exploring Operation: 12-6=6, Resulting Numbers: [6]
6,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 58:[20, 6, 32], Operations: ['82-50=32']
Exploring Operation: 20+6=26, Resulting Numbers: [32, 26]
Generated Node #0,1,0: 58:[32, 26] Operation: 20+6=26
Exploring Operation: 32-6=26, Resulting Numbers: [20, 26]
Generated Node #0,1,1: 58:[20, 26] Operation: 32-6=26
Exploring Operation: 20+32=52, Resulting Numbers: [6, 52]
Generated Node #0,1,2: 58:[6, 52] Operation: 20+32=52
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 58:[32, 26], Operations: ['82-50=32', '20+6=26']
Exploring Operation: 32+26=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[82, 50, 20, 6], Operations: []
Exploring Operation: 82-50=32, Resulting Numbers: [20, 6, 32]
Generated Node #0,1: 58:[20, 6, 32] Operation: 82-50=32
Moving to Node #0,1
Current State: 58:[20, 6, 32], Operations: ['82-50=32']
Exploring Operation: 20+6=26, Resulting Numbers: [32, 26]
Generated Node #0,1,0: 58:[32, 26] Operation: 20+6=26
Moving to Node #0,1,0
Current State: 58:[32, 26], Operations: ['82-50=32', '20+6=26']
Exploring Operation: 32+26=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.980035 | hs_3 | mult_heuristic |
[
96,
73,
13,
87
] | 96 | [
"73+13=86",
"87-86=1",
"96*1=96"
] | Current State: 96:[96, 73, 13, 87], Operations: []
Exploring Operation: 73+13=86, Resulting Numbers: [96, 87, 86]
Generated Node #2: [96, 87, 86] from Operation: 73+13=86
Current State: 96:[96, 87, 86], Operations: ['73+13=86']
Exploring Operation: 87-86=1, Resulting Numbers: [96, 1]
Generated Node #3: [96, 1] from Operation: 87-86=1
Current State: 96:[96, 1], Operations: ['73+13=86', '87-86=1']
Exploring Operation: 96*1=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[96, 73, 13, 87], Operations: []
Exploring Operation: 87-73=14, Resulting Numbers: [96, 13, 14]
Generated Node #0,0: 96:[96, 13, 14] Operation: 87-73=14
Exploring Operation: 96-73=23, Resulting Numbers: [13, 87, 23]
Generated Node #0,1: 96:[13, 87, 23] Operation: 96-73=23
Moving to Node #0,0
Current State: 96:[96, 13, 14], Operations: ['87-73=14']
Exploring Operation: 14-13=1, Resulting Numbers: [96, 1]
Generated Node #0,0,0: 96:[96, 1] Operation: 14-13=1
Exploring Operation: 13+14=27, Resulting Numbers: [96, 27]
Generated Node #0,0,1: 96:[96, 27] Operation: 13+14=27
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 96:[96, 1], Operations: ['87-73=14', '14-13=1']
Exploring Operation: 96*1=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Moving to Node #0
Current State: 96:[96, 73, 13, 87], Operations: []
Exploring Operation: 87-73=14, Resulting Numbers: [96, 13, 14]
Generated Node #0,0: 96:[96, 13, 14] Operation: 87-73=14
Moving to Node #0,0
Current State: 96:[96, 13, 14], Operations: ['87-73=14']
Exploring Operation: 14-13=1, Resulting Numbers: [96, 1]
Generated Node #0,0,0: 96:[96, 1] Operation: 14-13=1
Moving to Node #0,0,0
Current State: 96:[96, 1], Operations: ['87-73=14', '14-13=1']
Exploring Operation: 96*1=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
97,
2,
60,
82
] | 73 | [
"97-2=95",
"82-60=22",
"95-22=73"
] | Current State: 73:[97, 2, 60, 82], Operations: []
Exploring Operation: 97-2=95, Resulting Numbers: [60, 82, 95]
Generated Node #2: [60, 82, 95] from Operation: 97-2=95
Current State: 73:[60, 82, 95], Operations: ['97-2=95']
Exploring Operation: 82-60=22, Resulting Numbers: [95, 22]
Generated Node #3: [95, 22] from Operation: 82-60=22
Current State: 73:[95, 22], Operations: ['97-2=95', '82-60=22']
Exploring Operation: 95-22=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[97, 2, 60, 82], Operations: []
Exploring Operation: 97-2=95, Resulting Numbers: [60, 82, 95]
Generated Node #0,0: 73:[60, 82, 95] Operation: 97-2=95
Moving to Node #0,0
Current State: 73:[60, 82, 95], Operations: ['97-2=95']
Exploring Operation: 95-60=35, Resulting Numbers: [82, 35]
Generated Node #0,0,0: 73:[82, 35] Operation: 95-60=35
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 73:[82, 35], Operations: ['97-2=95', '95-60=35']
Exploring Operation: 82-35=47, Resulting Numbers: [47]
47,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
34,
31,
1,
85
] | 82 | [
"34-31=3",
"1*85=85",
"85-3=82"
] | Current State: 82:[34, 31, 1, 85], Operations: []
Exploring Operation: 34-31=3, Resulting Numbers: [1, 85, 3]
Generated Node #2: [1, 85, 3] from Operation: 34-31=3
Current State: 82:[1, 85, 3], Operations: ['34-31=3']
Exploring Operation: 1*85=85, Resulting Numbers: [3, 85]
Generated Node #3: [3, 85] from Operation: 1*85=85
Current State: 82:[3, 85], Operations: ['34-31=3', '1*85=85']
Exploring Operation: 85-3=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[34, 31, 1, 85], Operations: []
Exploring Operation: 85-1=84, Resulting Numbers: [34, 31, 84]
Generated Node #0,0: 82:[34, 31, 84] Operation: 85-1=84
Exploring Operation: 31+1=32, Resulting Numbers: [34, 85, 32]
Generated Node #0,1: 82:[34, 85, 32] Operation: 31+1=32
Exploring Operation: 34*1=34, Resulting Numbers: [31, 85, 34]
Generated Node #0,2: 82:[31, 85, 34] Operation: 34*1=34
Exploring Operation: 34+1=35, Resulting Numbers: [31, 85, 35]
Generated Node #0,3: 82:[31, 85, 35] Operation: 34+1=35
Exploring Operation: 34-31=3, Resulting Numbers: [1, 85, 3]
Generated Node #0,4: 82:[1, 85, 3] Operation: 34-31=3
Start Sub Search at level 1: Moving to Node #0,4
Current State: 82:[1, 85, 3], Operations: ['34-31=3']
Exploring Operation: 85-1=84, Resulting Numbers: [3, 84]
Generated Node #0,4,0: 82:[3, 84] Operation: 85-1=84
Exploring Operation: 85/1=85, Resulting Numbers: [3, 85]
Generated Node #0,4,1: 82:[3, 85] Operation: 85/1=85
Exploring Operation: 3-1=2, Resulting Numbers: [85, 2]
Generated Node #0,4,2: 82:[85, 2] Operation: 3-1=2
Exploring Operation: 85-3=82, Resulting Numbers: [1, 82]
Generated Node #0,4,3: 82:[1, 82] Operation: 85-3=82
Exploring Operation: 1*85=85, Resulting Numbers: [3, 85]
Generated Node #0,4,4: 82:[3, 85] Operation: 1*85=85
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 82:[1, 82], Operations: ['34-31=3', '85-3=82']
Exploring Operation: 82/1=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Moving to Node #0
Current State: 82:[34, 31, 1, 85], Operations: []
Exploring Operation: 34-31=3, Resulting Numbers: [1, 85, 3]
Generated Node #0,4: 82:[1, 85, 3] Operation: 34-31=3
Moving to Node #0,4
Current State: 82:[1, 85, 3], Operations: ['34-31=3']
Exploring Operation: 85-3=82, Resulting Numbers: [1, 82]
Generated Node #0,4,3: 82:[1, 82] Operation: 85-3=82
Moving to Node #0,4,3
Current State: 82:[1, 82], Operations: ['34-31=3', '85-3=82']
Exploring Operation: 82/1=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_5 | sum_heuristic |
[
60,
8,
44,
39
] | 26 | [
"60+44=104",
"104/8=13",
"39-13=26"
] | Current State: 26:[60, 8, 44, 39], Operations: []
Exploring Operation: 60+44=104, Resulting Numbers: [8, 39, 104]
Generated Node #2: [8, 39, 104] from Operation: 60+44=104
Current State: 26:[8, 39, 104], Operations: ['60+44=104']
Exploring Operation: 104/8=13, Resulting Numbers: [39, 13]
Generated Node #3: [39, 13] from Operation: 104/8=13
Current State: 26:[39, 13], Operations: ['60+44=104', '104/8=13']
Exploring Operation: 39-13=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[60, 8, 44, 39], Operations: []
Exploring Operation: 60-8=52, Resulting Numbers: [44, 39, 52]
Generated Node #0,0: 26:[44, 39, 52] Operation: 60-8=52
Exploring Operation: 60-39=21, Resulting Numbers: [8, 44, 21]
Generated Node #0,1: 26:[8, 44, 21] Operation: 60-39=21
Exploring Operation: 44-8=36, Resulting Numbers: [60, 39, 36]
Generated Node #0,2: 26:[60, 39, 36] Operation: 44-8=36
Exploring Operation: 60-44=16, Resulting Numbers: [8, 39, 16]
Generated Node #0,3: 26:[8, 39, 16] Operation: 60-44=16
Exploring Operation: 44-39=5, Resulting Numbers: [60, 8, 5]
Generated Node #0,4: 26:[60, 8, 5] Operation: 44-39=5
Moving to Node #0,3
Current State: 26:[8, 39, 16], Operations: ['60-44=16']
Exploring Operation: 39-16=23, Resulting Numbers: [8, 23]
Generated Node #0,3,0: 26:[8, 23] Operation: 39-16=23
Exploring Operation: 39-8=31, Resulting Numbers: [16, 31]
Generated Node #0,3,1: 26:[16, 31] Operation: 39-8=31
Exploring Operation: 8+16=24, Resulting Numbers: [39, 24]
Generated Node #0,3,2: 26:[39, 24] Operation: 8+16=24
Exploring Operation: 16-8=8, Resulting Numbers: [39, 8]
Generated Node #0,3,3: 26:[39, 8] Operation: 16-8=8
Exploring Operation: 16/8=2, Resulting Numbers: [39, 2]
Generated Node #0,3,4: 26:[39, 2] Operation: 16/8=2
Moving to Node #0,1
Current State: 26:[8, 44, 21], Operations: ['60-39=21']
Exploring Operation: 8+44=52, Resulting Numbers: [21, 52]
Generated Node #0,1,0: 26:[21, 52] Operation: 8+44=52
Exploring Operation: 8+21=29, Resulting Numbers: [44, 29]
Generated Node #0,1,1: 26:[44, 29] Operation: 8+21=29
Exploring Operation: 44-8=36, Resulting Numbers: [21, 36]
Generated Node #0,1,2: 26:[21, 36] Operation: 44-8=36
Exploring Operation: 44-21=23, Resulting Numbers: [8, 23]
Generated Node #0,1,3: 26:[8, 23] Operation: 44-21=23
Exploring Operation: 21-8=13, Resulting Numbers: [44, 13]
Generated Node #0,1,4: 26:[44, 13] Operation: 21-8=13
Moving to Node #0,4
Current State: 26:[60, 8, 5], Operations: ['44-39=5']
Exploring Operation: 60/5=12, Resulting Numbers: [8, 12]
Generated Node #0,4,0: 26:[8, 12] Operation: 60/5=12
Exploring Operation: 60-5=55, Resulting Numbers: [8, 55]
Generated Node #0,4,1: 26:[8, 55] Operation: 60-5=55
Exploring Operation: 60-8=52, Resulting Numbers: [5, 52]
Generated Node #0,4,2: 26:[5, 52] Operation: 60-8=52
Exploring Operation: 8+5=13, Resulting Numbers: [60, 13]
Generated Node #0,4,3: 26:[60, 13] Operation: 8+5=13
Exploring Operation: 8-5=3, Resulting Numbers: [60, 3]
Generated Node #0,4,4: 26:[60, 3] Operation: 8-5=3
Moving to Node #0,0
Current State: 26:[44, 39, 52], Operations: ['60-8=52']
Exploring Operation: 52-44=8, Resulting Numbers: [39, 8]
Generated Node #0,0,0: 26:[39, 8] Operation: 52-44=8
Exploring Operation: 52-39=13, Resulting Numbers: [44, 13]
Generated Node #0,0,1: 26:[44, 13] Operation: 52-39=13
Exploring Operation: 44+52=96, Resulting Numbers: [39, 96]
Generated Node #0,0,2: 26:[39, 96] Operation: 44+52=96
Exploring Operation: 44+39=83, Resulting Numbers: [52, 83]
Generated Node #0,0,3: 26:[52, 83] Operation: 44+39=83
Exploring Operation: 44-39=5, Resulting Numbers: [52, 5]
Generated Node #0,0,4: 26:[52, 5] Operation: 44-39=5
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 26:[39, 8], Operations: ['60-8=52', '52-44=8']
Exploring Operation: 39+8=47, Resulting Numbers: [47]
47,26 unequal: No Solution
Exploring Operation: 39*8=312, Resulting Numbers: [312]
312,26 unequal: No Solution
Exploring Operation: 39-8=31, Resulting Numbers: [31]
31,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 26:[44, 13], Operations: ['60-8=52', '52-39=13']
Exploring Operation: 44+13=57, Resulting Numbers: [57]
57,26 unequal: No Solution
Exploring Operation: 44-13=31, Resulting Numbers: [31]
31,26 unequal: No Solution
Exploring Operation: 44*13=572, Resulting Numbers: [572]
572,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 26:[52, 5], Operations: ['60-8=52', '44-39=5']
Exploring Operation: 52*5=260, Resulting Numbers: [260]
260,26 unequal: No Solution
Exploring Operation: 52+5=57, Resulting Numbers: [57]
57,26 unequal: No Solution
Exploring Operation: 52-5=47, Resulting Numbers: [47]
47,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 26:[39, 96], Operations: ['60-8=52', '44+52=96']
Exploring Operation: 39*96=3744, Resulting Numbers: [3744]
3744,26 unequal: No Solution
Exploring Operation: 39+96=135, Resulting Numbers: [135]
135,26 unequal: No Solution
Exploring Operation: 96-39=57, Resulting Numbers: [57]
57,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 26:[52, 83], Operations: ['60-8=52', '44+39=83']
Exploring Operation: 83-52=31, Resulting Numbers: [31]
31,26 unequal: No Solution
Exploring Operation: 52*83=4316, Resulting Numbers: [4316]
4316,26 unequal: No Solution
Exploring Operation: 52+83=135, Resulting Numbers: [135]
135,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 26:[60, 39, 36], Operations: ['44-8=36']
Exploring Operation: 60-39=21, Resulting Numbers: [36, 21]
Generated Node #0,2,0: 26:[36, 21] Operation: 60-39=21
Exploring Operation: 60-36=24, Resulting Numbers: [39, 24]
Generated Node #0,2,1: 26:[39, 24] Operation: 60-36=24
Exploring Operation: 39-36=3, Resulting Numbers: [60, 3]
Generated Node #0,2,2: 26:[60, 3] Operation: 39-36=3
Exploring Operation: 60+39=99, Resulting Numbers: [36, 99]
Generated Node #0,2,3: 26:[36, 99] Operation: 60+39=99
Exploring Operation: 60+36=96, Resulting Numbers: [39, 96]
Generated Node #0,2,4: 26:[39, 96] Operation: 60+36=96
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 26:[36, 21], Operations: ['44-8=36', '60-39=21']
Exploring Operation: 36*21=756, Resulting Numbers: [756]
756,26 unequal: No Solution
Exploring Operation: 36+21=57, Resulting Numbers: [57]
57,26 unequal: No Solution
Exploring Operation: 36-21=15, Resulting Numbers: [15]
15,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 26:[39, 24], Operations: ['44-8=36', '60-36=24']
Exploring Operation: 39+24=63, Resulting Numbers: [63]
63,26 unequal: No Solution
Exploring Operation: 39*24=936, Resulting Numbers: [936]
936,26 unequal: No Solution
Exploring Operation: 39-24=15, Resulting Numbers: [15]
15,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 26:[60, 3], Operations: ['44-8=36', '39-36=3']
Exploring Operation: 60/3=20, Resulting Numbers: [20]
20,26 unequal: No Solution
Exploring Operation: 60+3=63, Resulting Numbers: [63]
63,26 unequal: No Solution
Exploring Operation: 60*3=180, Resulting Numbers: [180]
180,26 unequal: No Solution
Exploring Operation: 60-3=57, Resulting Numbers: [57]
57,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 26:[36, 99], Operations: ['44-8=36', '60+39=99']
Exploring Operation: 36+99=135, Resulting Numbers: [135]
135,26 unequal: No Solution
Exploring Operation: 36*99=3564, Resulting Numbers: [3564]
3564,26 unequal: No Solution
Exploring Operation: 99-36=63, Resulting Numbers: [63]
63,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 26:[39, 96], Operations: ['44-8=36', '60+36=96']
Exploring Operation: 39+96=135, Resulting Numbers: [135]
135,26 unequal: No Solution
Exploring Operation: 96-39=57, Resulting Numbers: [57]
57,26 unequal: No Solution
Exploring Operation: 39*96=3744, Resulting Numbers: [3744]
3744,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4,0
Current State: 26:[8, 12], Operations: ['44-39=5', '60/5=12']
Exploring Operation: 8+12=20, Resulting Numbers: [20]
20,26 unequal: No Solution
Exploring Operation: 8*12=96, Resulting Numbers: [96]
96,26 unequal: No Solution
Exploring Operation: 12-8=4, Resulting Numbers: [4]
4,26 unequal: No Solution
Moving to Node #0,1,3
Current State: 26:[8, 23], Operations: ['60-39=21', '44-21=23']
Exploring Operation: 8*23=184, Resulting Numbers: [184]
184,26 unequal: No Solution
Exploring Operation: 23-8=15, Resulting Numbers: [15]
15,26 unequal: No Solution
Exploring Operation: 8+23=31, Resulting Numbers: [31]
31,26 unequal: No Solution
Moving to Node #0,3,0
Current State: 26:[8, 23], Operations: ['60-44=16', '39-16=23']
Exploring Operation: 8+23=31, Resulting Numbers: [31]
31,26 unequal: No Solution
Exploring Operation: 23-8=15, Resulting Numbers: [15]
15,26 unequal: No Solution
Exploring Operation: 8*23=184, Resulting Numbers: [184]
184,26 unequal: No Solution
Moving to Node #0,3,1
Current State: 26:[16, 31], Operations: ['60-44=16', '39-8=31']
Exploring Operation: 31-16=15, Resulting Numbers: [15]
15,26 unequal: No Solution
Exploring Operation: 16*31=496, Resulting Numbers: [496]
496,26 unequal: No Solution
Exploring Operation: 16+31=47, Resulting Numbers: [47]
47,26 unequal: No Solution
Moving to Node #0,3,4
Current State: 26:[39, 2], Operations: ['60-44=16', '16/8=2']
Exploring Operation: 39*2=78, Resulting Numbers: [78]
78,26 unequal: No Solution
Exploring Operation: 39-2=37, Resulting Numbers: [37]
37,26 unequal: No Solution
Exploring Operation: 39+2=41, Resulting Numbers: [41]
41,26 unequal: No Solution
Moving to Node #0,1,2
Current State: 26:[21, 36], Operations: ['60-39=21', '44-8=36']
Exploring Operation: 21*36=756, Resulting Numbers: [756]
756,26 unequal: No Solution
Exploring Operation: 36-21=15, Resulting Numbers: [15]
15,26 unequal: No Solution
Exploring Operation: 21+36=57, Resulting Numbers: [57]
57,26 unequal: No Solution
Moving to Node #0,3,2
Current State: 26:[39, 24], Operations: ['60-44=16', '8+16=24']
Exploring Operation: 39-24=15, Resulting Numbers: [15]
15,26 unequal: No Solution
Exploring Operation: 39+24=63, Resulting Numbers: [63]
63,26 unequal: No Solution
Exploring Operation: 39*24=936, Resulting Numbers: [936]
936,26 unequal: No Solution
Moving to Node #0,3,3
Current State: 26:[39, 8], Operations: ['60-44=16', '16-8=8']
Exploring Operation: 39-8=31, Resulting Numbers: [31]
31,26 unequal: No Solution
Exploring Operation: 39*8=312, Resulting Numbers: [312]
312,26 unequal: No Solution
Exploring Operation: 39+8=47, Resulting Numbers: [47]
47,26 unequal: No Solution
Moving to Node #0,1,4
Current State: 26:[44, 13], Operations: ['60-39=21', '21-8=13']
Exploring Operation: 44-13=31, Resulting Numbers: [31]
31,26 unequal: No Solution
Exploring Operation: 44*13=572, Resulting Numbers: [572]
572,26 unequal: No Solution
Exploring Operation: 44+13=57, Resulting Numbers: [57]
57,26 unequal: No Solution
Moving to Node #0,1,1
Current State: 26:[44, 29], Operations: ['60-39=21', '8+21=29']
Exploring Operation: 44+29=73, Resulting Numbers: [73]
73,26 unequal: No Solution
Exploring Operation: 44-29=15, Resulting Numbers: [15]
15,26 unequal: No Solution
Exploring Operation: 44*29=1276, Resulting Numbers: [1276]
1276,26 unequal: No Solution
Moving to Node #0,4,2
Current State: 26:[5, 52], Operations: ['44-39=5', '60-8=52']
Exploring Operation: 52-5=47, Resulting Numbers: [47]
47,26 unequal: No Solution
Exploring Operation: 5*52=260, Resulting Numbers: [260]
260,26 unequal: No Solution
Exploring Operation: 5+52=57, Resulting Numbers: [57]
57,26 unequal: No Solution
Moving to Node #0,1,0
Current State: 26:[21, 52], Operations: ['60-39=21', '8+44=52']
Exploring Operation: 21+52=73, Resulting Numbers: [73]
73,26 unequal: No Solution
Exploring Operation: 52-21=31, Resulting Numbers: [31]
31,26 unequal: No Solution
Exploring Operation: 21*52=1092, Resulting Numbers: [1092]
1092,26 unequal: No Solution
Moving to Node #0,4,3
Current State: 26:[60, 13], Operations: ['44-39=5', '8+5=13']
Exploring Operation: 60-13=47, Resulting Numbers: [47]
47,26 unequal: No Solution
Exploring Operation: 60*13=780, Resulting Numbers: [780]
780,26 unequal: No Solution
Exploring Operation: 60+13=73, Resulting Numbers: [73]
73,26 unequal: No Solution
Moving to Node #0,4,1
Current State: 26:[8, 55], Operations: ['44-39=5', '60-5=55']
Exploring Operation: 8+55=63, Resulting Numbers: [63]
63,26 unequal: No Solution
Exploring Operation: 55-8=47, Resulting Numbers: [47]
47,26 unequal: No Solution
Exploring Operation: 8*55=440, Resulting Numbers: [440]
440,26 unequal: No Solution
Moving to Node #0,4,4
Current State: 26:[60, 3], Operations: ['44-39=5', '8-5=3']
Exploring Operation: 60-3=57, Resulting Numbers: [57]
57,26 unequal: No Solution
Exploring Operation: 60*3=180, Resulting Numbers: [180]
180,26 unequal: No Solution
Exploring Operation: 60+3=63, Resulting Numbers: [63]
63,26 unequal: No Solution
Exploring Operation: 60/3=20, Resulting Numbers: [20]
20,26 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
94,
29,
5,
55
] | 50 | [
"94-29=65",
"65-55=10",
"5*10=50"
] | Current State: 50:[94, 29, 5, 55], Operations: []
Exploring Operation: 94-29=65, Resulting Numbers: [5, 55, 65]
Generated Node #2: [5, 55, 65] from Operation: 94-29=65
Current State: 50:[5, 55, 65], Operations: ['94-29=65']
Exploring Operation: 65-55=10, Resulting Numbers: [5, 10]
Generated Node #3: [5, 10] from Operation: 65-55=10
Current State: 50:[5, 10], Operations: ['94-29=65', '65-55=10']
Exploring Operation: 5*10=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[94, 29, 5, 55], Operations: []
Exploring Operation: 94-5=89, Resulting Numbers: [29, 55, 89]
Generated Node #0,0: 50:[29, 55, 89] Operation: 94-5=89
Exploring Operation: 94-55=39, Resulting Numbers: [29, 5, 39]
Generated Node #0,1: 50:[29, 5, 39] Operation: 94-55=39
Exploring Operation: 55-29=26, Resulting Numbers: [94, 5, 26]
Generated Node #0,2: 50:[94, 5, 26] Operation: 55-29=26
Exploring Operation: 94-29=65, Resulting Numbers: [5, 55, 65]
Generated Node #0,3: 50:[5, 55, 65] Operation: 94-29=65
Moving to Node #0,1
Current State: 50:[29, 5, 39], Operations: ['94-55=39']
Exploring Operation: 39-29=10, Resulting Numbers: [5, 10]
Generated Node #0,1,0: 50:[5, 10] Operation: 39-29=10
Exploring Operation: 29-5=24, Resulting Numbers: [39, 24]
Generated Node #0,1,1: 50:[39, 24] Operation: 29-5=24
Exploring Operation: 5+39=44, Resulting Numbers: [29, 44]
Generated Node #0,1,2: 50:[29, 44] Operation: 5+39=44
Exploring Operation: 39-5=34, Resulting Numbers: [29, 34]
Generated Node #0,1,3: 50:[29, 34] Operation: 39-5=34
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 50:[5, 10], Operations: ['94-55=39', '39-29=10']
Exploring Operation: 5*10=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Moving to Node #0
Current State: 50:[94, 29, 5, 55], Operations: []
Exploring Operation: 94-55=39, Resulting Numbers: [29, 5, 39]
Generated Node #0,1: 50:[29, 5, 39] Operation: 94-55=39
Moving to Node #0,1
Current State: 50:[29, 5, 39], Operations: ['94-55=39']
Exploring Operation: 39-29=10, Resulting Numbers: [5, 10]
Generated Node #0,1,0: 50:[5, 10] Operation: 39-29=10
Moving to Node #0,1,0
Current State: 50:[5, 10], Operations: ['94-55=39', '39-29=10']
Exploring Operation: 5*10=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | sum_heuristic |
[
45,
81,
34,
35
] | 34 | [
"81-45=36",
"36-35=1",
"34*1=34"
] | Current State: 34:[45, 81, 34, 35], Operations: []
Exploring Operation: 81-45=36, Resulting Numbers: [34, 35, 36]
Generated Node #2: [34, 35, 36] from Operation: 81-45=36
Current State: 34:[34, 35, 36], Operations: ['81-45=36']
Exploring Operation: 36-35=1, Resulting Numbers: [34, 1]
Generated Node #3: [34, 1] from Operation: 36-35=1
Current State: 34:[34, 1], Operations: ['81-45=36', '36-35=1']
Exploring Operation: 34*1=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[45, 81, 34, 35], Operations: []
Exploring Operation: 81-45=36, Resulting Numbers: [34, 35, 36]
Generated Node #0,0: 34:[34, 35, 36] Operation: 81-45=36
Moving to Node #0,0
Current State: 34:[34, 35, 36], Operations: ['81-45=36']
Exploring Operation: 36-34=2, Resulting Numbers: [35, 2]
Generated Node #0,0,0: 34:[35, 2] Operation: 36-34=2
Moving to Node #0,0,0
Current State: 34:[35, 2], Operations: ['81-45=36', '36-34=2']
Exploring Operation: 35-2=33, Resulting Numbers: [33]
33,34 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
81,
50,
32,
24
] | 58 | [
"81*32=2592",
"2592/24=108",
"108-50=58"
] | Current State: 58:[81, 50, 32, 24], Operations: []
Exploring Operation: 81*32=2592, Resulting Numbers: [50, 24, 2592]
Generated Node #2: [50, 24, 2592] from Operation: 81*32=2592
Current State: 58:[50, 24, 2592], Operations: ['81*32=2592']
Exploring Operation: 2592/24=108, Resulting Numbers: [50, 108]
Generated Node #3: [50, 108] from Operation: 2592/24=108
Current State: 58:[50, 108], Operations: ['81*32=2592', '2592/24=108']
Exploring Operation: 108-50=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[81, 50, 32, 24], Operations: []
Exploring Operation: 50-24=26, Resulting Numbers: [81, 32, 26]
Generated Node #0,0: 58:[81, 32, 26] Operation: 50-24=26
Exploring Operation: 81-24=57, Resulting Numbers: [50, 32, 57]
Generated Node #0,1: 58:[50, 32, 57] Operation: 81-24=57
Exploring Operation: 81-50=31, Resulting Numbers: [32, 24, 31]
Generated Node #0,2: 58:[32, 24, 31] Operation: 81-50=31
Exploring Operation: 81-32=49, Resulting Numbers: [50, 24, 49]
Generated Node #0,3: 58:[50, 24, 49] Operation: 81-32=49
Exploring Operation: 32+24=56, Resulting Numbers: [81, 50, 56]
Generated Node #0,4: 58:[81, 50, 56] Operation: 32+24=56
Moving to Node #0,2
Current State: 58:[32, 24, 31], Operations: ['81-50=31']
Exploring Operation: 31-24=7, Resulting Numbers: [32, 7]
Generated Node #0,2,0: 58:[32, 7] Operation: 31-24=7
Exploring Operation: 24+31=55, Resulting Numbers: [32, 55]
Generated Node #0,2,1: 58:[32, 55] Operation: 24+31=55
Exploring Operation: 32+24=56, Resulting Numbers: [31, 56]
Generated Node #0,2,2: 58:[31, 56] Operation: 32+24=56
Exploring Operation: 32-31=1, Resulting Numbers: [24, 1]
Generated Node #0,2,3: 58:[24, 1] Operation: 32-31=1
Exploring Operation: 32-24=8, Resulting Numbers: [31, 8]
Generated Node #0,2,4: 58:[31, 8] Operation: 32-24=8
Moving to Node #0,1
Current State: 58:[50, 32, 57], Operations: ['81-24=57']
Exploring Operation: 50-32=18, Resulting Numbers: [57, 18]
Generated Node #0,1,0: 58:[57, 18] Operation: 50-32=18
Exploring Operation: 32+57=89, Resulting Numbers: [50, 89]
Generated Node #0,1,1: 58:[50, 89] Operation: 32+57=89
Exploring Operation: 57-32=25, Resulting Numbers: [50, 25]
Generated Node #0,1,2: 58:[50, 25] Operation: 57-32=25
Exploring Operation: 57-50=7, Resulting Numbers: [32, 7]
Generated Node #0,1,3: 58:[32, 7] Operation: 57-50=7
Exploring Operation: 50+32=82, Resulting Numbers: [57, 82]
Generated Node #0,1,4: 58:[57, 82] Operation: 50+32=82
Moving to Node #0,3
Current State: 58:[50, 24, 49], Operations: ['81-32=49']
Exploring Operation: 50-24=26, Resulting Numbers: [49, 26]
Generated Node #0,3,0: 58:[49, 26] Operation: 50-24=26
Exploring Operation: 24+49=73, Resulting Numbers: [50, 73]
Generated Node #0,3,1: 58:[50, 73] Operation: 24+49=73
Exploring Operation: 49-24=25, Resulting Numbers: [50, 25]
Generated Node #0,3,2: 58:[50, 25] Operation: 49-24=25
Exploring Operation: 50+24=74, Resulting Numbers: [49, 74]
Generated Node #0,3,3: 58:[49, 74] Operation: 50+24=74
Exploring Operation: 50-49=1, Resulting Numbers: [24, 1]
Generated Node #0,3,4: 58:[24, 1] Operation: 50-49=1
Moving to Node #0,0
Current State: 58:[81, 32, 26], Operations: ['50-24=26']
Exploring Operation: 32+26=58, Resulting Numbers: [81, 58]
Generated Node #0,0,0: 58:[81, 58] Operation: 32+26=58
Exploring Operation: 81+26=107, Resulting Numbers: [32, 107]
Generated Node #0,0,1: 58:[32, 107] Operation: 81+26=107
Exploring Operation: 81-32=49, Resulting Numbers: [26, 49]
Generated Node #0,0,2: 58:[26, 49] Operation: 81-32=49
Exploring Operation: 81-26=55, Resulting Numbers: [32, 55]
Generated Node #0,0,3: 58:[32, 55] Operation: 81-26=55
Exploring Operation: 32-26=6, Resulting Numbers: [81, 6]
Generated Node #0,0,4: 58:[81, 6] Operation: 32-26=6
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 58:[32, 55], Operations: ['50-24=26', '81-26=55']
Exploring Operation: 32+55=87, Resulting Numbers: [87]
87,58 unequal: No Solution
Exploring Operation: 32*55=1760, Resulting Numbers: [1760]
1760,58 unequal: No Solution
Exploring Operation: 55-32=23, Resulting Numbers: [23]
23,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 58:[26, 49], Operations: ['50-24=26', '81-32=49']
Exploring Operation: 26+49=75, Resulting Numbers: [75]
75,58 unequal: No Solution
Exploring Operation: 26*49=1274, Resulting Numbers: [1274]
1274,58 unequal: No Solution
Exploring Operation: 49-26=23, Resulting Numbers: [23]
23,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 58:[81, 58], Operations: ['50-24=26', '32+26=58']
Exploring Operation: 81-58=23, Resulting Numbers: [23]
23,58 unequal: No Solution
Exploring Operation: 81+58=139, Resulting Numbers: [139]
139,58 unequal: No Solution
Exploring Operation: 81*58=4698, Resulting Numbers: [4698]
4698,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 58:[81, 6], Operations: ['50-24=26', '32-26=6']
Exploring Operation: 81+6=87, Resulting Numbers: [87]
87,58 unequal: No Solution
Exploring Operation: 81*6=486, Resulting Numbers: [486]
486,58 unequal: No Solution
Exploring Operation: 81-6=75, Resulting Numbers: [75]
75,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 58:[32, 107], Operations: ['50-24=26', '81+26=107']
Exploring Operation: 107-32=75, Resulting Numbers: [75]
75,58 unequal: No Solution
Exploring Operation: 32*107=3424, Resulting Numbers: [3424]
3424,58 unequal: No Solution
Exploring Operation: 32+107=139, Resulting Numbers: [139]
139,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4
Current State: 58:[81, 50, 56], Operations: ['32+24=56']
Exploring Operation: 50+56=106, Resulting Numbers: [81, 106]
Generated Node #0,4,0: 58:[81, 106] Operation: 50+56=106
Exploring Operation: 56-50=6, Resulting Numbers: [81, 6]
Generated Node #0,4,1: 58:[81, 6] Operation: 56-50=6
Exploring Operation: 81+50=131, Resulting Numbers: [56, 131]
Generated Node #0,4,2: 58:[56, 131] Operation: 81+50=131
Exploring Operation: 81-56=25, Resulting Numbers: [50, 25]
Generated Node #0,4,3: 58:[50, 25] Operation: 81-56=25
Exploring Operation: 81-50=31, Resulting Numbers: [56, 31]
Generated Node #0,4,4: 58:[56, 31] Operation: 81-50=31
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 58:[56, 31], Operations: ['32+24=56', '81-50=31']
Exploring Operation: 56+31=87, Resulting Numbers: [87]
87,58 unequal: No Solution
Exploring Operation: 56*31=1736, Resulting Numbers: [1736]
1736,58 unequal: No Solution
Exploring Operation: 56-31=25, Resulting Numbers: [25]
25,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 58:[50, 25], Operations: ['32+24=56', '81-56=25']
Exploring Operation: 50-25=25, Resulting Numbers: [25]
25,58 unequal: No Solution
Exploring Operation: 50/25=2, Resulting Numbers: [2]
2,58 unequal: No Solution
Exploring Operation: 50+25=75, Resulting Numbers: [75]
75,58 unequal: No Solution
Exploring Operation: 50*25=1250, Resulting Numbers: [1250]
1250,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 58:[81, 6], Operations: ['32+24=56', '56-50=6']
Exploring Operation: 81-6=75, Resulting Numbers: [75]
75,58 unequal: No Solution
Exploring Operation: 81*6=486, Resulting Numbers: [486]
486,58 unequal: No Solution
Exploring Operation: 81+6=87, Resulting Numbers: [87]
87,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 58:[81, 106], Operations: ['32+24=56', '50+56=106']
Exploring Operation: 106-81=25, Resulting Numbers: [25]
25,58 unequal: No Solution
Exploring Operation: 81+106=187, Resulting Numbers: [187]
187,58 unequal: No Solution
Exploring Operation: 81*106=8586, Resulting Numbers: [8586]
8586,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 58:[56, 131], Operations: ['32+24=56', '81+50=131']
Exploring Operation: 56*131=7336, Resulting Numbers: [7336]
7336,58 unequal: No Solution
Exploring Operation: 131-56=75, Resulting Numbers: [75]
75,58 unequal: No Solution
Exploring Operation: 56+131=187, Resulting Numbers: [187]
187,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,2
Current State: 58:[31, 56], Operations: ['81-50=31', '32+24=56']
Exploring Operation: 31*56=1736, Resulting Numbers: [1736]
1736,58 unequal: No Solution
Exploring Operation: 56-31=25, Resulting Numbers: [25]
25,58 unequal: No Solution
Exploring Operation: 31+56=87, Resulting Numbers: [87]
87,58 unequal: No Solution
Moving to Node #0,2,3
Current State: 58:[24, 1], Operations: ['81-50=31', '32-31=1']
Exploring Operation: 24*1=24, Resulting Numbers: [24]
24,58 unequal: No Solution
Exploring Operation: 24+1=25, Resulting Numbers: [25]
25,58 unequal: No Solution
Exploring Operation: 24/1=24, Resulting Numbers: [24]
24,58 unequal: No Solution
Exploring Operation: 24-1=23, Resulting Numbers: [23]
23,58 unequal: No Solution
Moving to Node #0,2,1
Current State: 58:[32, 55], Operations: ['81-50=31', '24+31=55']
Exploring Operation: 32+55=87, Resulting Numbers: [87]
87,58 unequal: No Solution
Exploring Operation: 55-32=23, Resulting Numbers: [23]
23,58 unequal: No Solution
Exploring Operation: 32*55=1760, Resulting Numbers: [1760]
1760,58 unequal: No Solution
Moving to Node #0,3,4
Current State: 58:[24, 1], Operations: ['81-32=49', '50-49=1']
Exploring Operation: 24*1=24, Resulting Numbers: [24]
24,58 unequal: No Solution
Exploring Operation: 24-1=23, Resulting Numbers: [23]
23,58 unequal: No Solution
Exploring Operation: 24+1=25, Resulting Numbers: [25]
25,58 unequal: No Solution
Exploring Operation: 24/1=24, Resulting Numbers: [24]
24,58 unequal: No Solution
Moving to Node #0,1,3
Current State: 58:[32, 7], Operations: ['81-24=57', '57-50=7']
Exploring Operation: 32+7=39, Resulting Numbers: [39]
39,58 unequal: No Solution
Exploring Operation: 32*7=224, Resulting Numbers: [224]
224,58 unequal: No Solution
Exploring Operation: 32-7=25, Resulting Numbers: [25]
25,58 unequal: No Solution
Moving to Node #0,2,4
Current State: 58:[31, 8], Operations: ['81-50=31', '32-24=8']
Exploring Operation: 31-8=23, Resulting Numbers: [23]
23,58 unequal: No Solution
Exploring Operation: 31*8=248, Resulting Numbers: [248]
248,58 unequal: No Solution
Exploring Operation: 31+8=39, Resulting Numbers: [39]
39,58 unequal: No Solution
Moving to Node #0,2,0
Current State: 58:[32, 7], Operations: ['81-50=31', '31-24=7']
Exploring Operation: 32*7=224, Resulting Numbers: [224]
224,58 unequal: No Solution
Exploring Operation: 32+7=39, Resulting Numbers: [39]
39,58 unequal: No Solution
Exploring Operation: 32-7=25, Resulting Numbers: [25]
25,58 unequal: No Solution
Moving to Node #0,1,0
Current State: 58:[57, 18], Operations: ['81-24=57', '50-32=18']
Exploring Operation: 57*18=1026, Resulting Numbers: [1026]
1026,58 unequal: No Solution
Exploring Operation: 57-18=39, Resulting Numbers: [39]
39,58 unequal: No Solution
Exploring Operation: 57+18=75, Resulting Numbers: [75]
75,58 unequal: No Solution
Moving to Node #0,3,0
Current State: 58:[49, 26], Operations: ['81-32=49', '50-24=26']
Exploring Operation: 49+26=75, Resulting Numbers: [75]
75,58 unequal: No Solution
Exploring Operation: 49-26=23, Resulting Numbers: [23]
23,58 unequal: No Solution
Exploring Operation: 49*26=1274, Resulting Numbers: [1274]
1274,58 unequal: No Solution
Moving to Node #0,3,2
Current State: 58:[50, 25], Operations: ['81-32=49', '49-24=25']
Exploring Operation: 50-25=25, Resulting Numbers: [25]
25,58 unequal: No Solution
Exploring Operation: 50*25=1250, Resulting Numbers: [1250]
1250,58 unequal: No Solution
Exploring Operation: 50+25=75, Resulting Numbers: [75]
75,58 unequal: No Solution
Exploring Operation: 50/25=2, Resulting Numbers: [2]
2,58 unequal: No Solution
Moving to Node #0,1,2
Current State: 58:[50, 25], Operations: ['81-24=57', '57-32=25']
Exploring Operation: 50-25=25, Resulting Numbers: [25]
25,58 unequal: No Solution
Exploring Operation: 50+25=75, Resulting Numbers: [75]
75,58 unequal: No Solution
Exploring Operation: 50/25=2, Resulting Numbers: [2]
2,58 unequal: No Solution
Exploring Operation: 50*25=1250, Resulting Numbers: [1250]
1250,58 unequal: No Solution
Moving to Node #0,3,1
Current State: 58:[50, 73], Operations: ['81-32=49', '24+49=73']
Exploring Operation: 50+73=123, Resulting Numbers: [123]
123,58 unequal: No Solution
Exploring Operation: 50*73=3650, Resulting Numbers: [3650]
3650,58 unequal: No Solution
Exploring Operation: 73-50=23, Resulting Numbers: [23]
23,58 unequal: No Solution
Moving to Node #0,3,3
Current State: 58:[49, 74], Operations: ['81-32=49', '50+24=74']
Exploring Operation: 49+74=123, Resulting Numbers: [123]
123,58 unequal: No Solution
Exploring Operation: 49*74=3626, Resulting Numbers: [3626]
3626,58 unequal: No Solution
Exploring Operation: 74-49=25, Resulting Numbers: [25]
25,58 unequal: No Solution
Moving to Node #0,1,4
Current State: 58:[57, 82], Operations: ['81-24=57', '50+32=82']
Exploring Operation: 57+82=139, Resulting Numbers: [139]
139,58 unequal: No Solution
Exploring Operation: 57*82=4674, Resulting Numbers: [4674]
4674,58 unequal: No Solution
Exploring Operation: 82-57=25, Resulting Numbers: [25]
25,58 unequal: No Solution
Moving to Node #0,1,1
Current State: 58:[50, 89], Operations: ['81-24=57', '32+57=89']
Exploring Operation: 50+89=139, Resulting Numbers: [139]
139,58 unequal: No Solution
Exploring Operation: 50*89=4450, Resulting Numbers: [4450]
4450,58 unequal: No Solution
Exploring Operation: 89-50=39, Resulting Numbers: [39]
39,58 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
51,
7,
73,
81
] | 29 | [
"73+81=154",
"154/7=22",
"51-22=29"
] | Current State: 29:[51, 7, 73, 81], Operations: []
Exploring Operation: 73+81=154, Resulting Numbers: [51, 7, 154]
Generated Node #2: [51, 7, 154] from Operation: 73+81=154
Current State: 29:[51, 7, 154], Operations: ['73+81=154']
Exploring Operation: 154/7=22, Resulting Numbers: [51, 22]
Generated Node #3: [51, 22] from Operation: 154/7=22
Current State: 29:[51, 22], Operations: ['73+81=154', '154/7=22']
Exploring Operation: 51-22=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[51, 7, 73, 81], Operations: []
Exploring Operation: 81-73=8, Resulting Numbers: [51, 7, 8]
Generated Node #0,0: 29:[51, 7, 8] Operation: 81-73=8
Exploring Operation: 73-51=22, Resulting Numbers: [7, 81, 22]
Generated Node #0,1: 29:[7, 81, 22] Operation: 73-51=22
Exploring Operation: 81-51=30, Resulting Numbers: [7, 73, 30]
Generated Node #0,2: 29:[7, 73, 30] Operation: 81-51=30
Exploring Operation: 73-7=66, Resulting Numbers: [51, 81, 66]
Generated Node #0,3: 29:[51, 81, 66] Operation: 73-7=66
Exploring Operation: 51-7=44, Resulting Numbers: [73, 81, 44]
Generated Node #0,4: 29:[73, 81, 44] Operation: 51-7=44
Moving to Node #0,0
Current State: 29:[51, 7, 8], Operations: ['81-73=8']
Exploring Operation: 51+7=58, Resulting Numbers: [8, 58]
Generated Node #0,0,0: 29:[8, 58] Operation: 51+7=58
Exploring Operation: 7+8=15, Resulting Numbers: [51, 15]
Generated Node #0,0,1: 29:[51, 15] Operation: 7+8=15
Exploring Operation: 7*8=56, Resulting Numbers: [51, 56]
Generated Node #0,0,2: 29:[51, 56] Operation: 7*8=56
Exploring Operation: 51-8=43, Resulting Numbers: [7, 43]
Generated Node #0,0,3: 29:[7, 43] Operation: 51-8=43
Exploring Operation: 51-7=44, Resulting Numbers: [8, 44]
Generated Node #0,0,4: 29:[8, 44] Operation: 51-7=44
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 29:[51, 15], Operations: ['81-73=8', '7+8=15']
Exploring Operation: 51-15=36, Resulting Numbers: [36]
36,29 unequal: No Solution
Exploring Operation: 51+15=66, Resulting Numbers: [66]
66,29 unequal: No Solution
Exploring Operation: 51*15=765, Resulting Numbers: [765]
765,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 29:[7, 43], Operations: ['81-73=8', '51-8=43']
Exploring Operation: 7*43=301, Resulting Numbers: [301]
301,29 unequal: No Solution
Exploring Operation: 7+43=50, Resulting Numbers: [50]
50,29 unequal: No Solution
Exploring Operation: 43-7=36, Resulting Numbers: [36]
36,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 29:[8, 44], Operations: ['81-73=8', '51-7=44']
Exploring Operation: 44-8=36, Resulting Numbers: [36]
36,29 unequal: No Solution
Exploring Operation: 8+44=52, Resulting Numbers: [52]
52,29 unequal: No Solution
Exploring Operation: 8*44=352, Resulting Numbers: [352]
352,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 29:[51, 56], Operations: ['81-73=8', '7*8=56']
Exploring Operation: 51+56=107, Resulting Numbers: [107]
107,29 unequal: No Solution
Exploring Operation: 51*56=2856, Resulting Numbers: [2856]
2856,29 unequal: No Solution
Exploring Operation: 56-51=5, Resulting Numbers: [5]
5,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 29:[8, 58], Operations: ['81-73=8', '51+7=58']
Exploring Operation: 8+58=66, Resulting Numbers: [66]
66,29 unequal: No Solution
Exploring Operation: 8*58=464, Resulting Numbers: [464]
464,29 unequal: No Solution
Exploring Operation: 58-8=50, Resulting Numbers: [50]
50,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 29:[7, 73, 30], Operations: ['81-51=30']
Exploring Operation: 7+73=80, Resulting Numbers: [30, 80]
Generated Node #0,2,0: 29:[30, 80] Operation: 7+73=80
Exploring Operation: 30-7=23, Resulting Numbers: [73, 23]
Generated Node #0,2,1: 29:[73, 23] Operation: 30-7=23
Exploring Operation: 73-7=66, Resulting Numbers: [30, 66]
Generated Node #0,2,2: 29:[30, 66] Operation: 73-7=66
Exploring Operation: 7+30=37, Resulting Numbers: [73, 37]
Generated Node #0,2,3: 29:[73, 37] Operation: 7+30=37
Exploring Operation: 73-30=43, Resulting Numbers: [7, 43]
Generated Node #0,2,4: 29:[7, 43] Operation: 73-30=43
Moving to Node #0,1
Current State: 29:[7, 81, 22], Operations: ['73-51=22']
Exploring Operation: 81-7=74, Resulting Numbers: [22, 74]
Generated Node #0,1,0: 29:[22, 74] Operation: 81-7=74
Exploring Operation: 22-7=15, Resulting Numbers: [81, 15]
Generated Node #0,1,1: 29:[81, 15] Operation: 22-7=15
Exploring Operation: 7+22=29, Resulting Numbers: [81, 29]
Generated Node #0,1,2: 29:[81, 29] Operation: 7+22=29
Exploring Operation: 81-22=59, Resulting Numbers: [7, 59]
Generated Node #0,1,3: 29:[7, 59] Operation: 81-22=59
Exploring Operation: 7+81=88, Resulting Numbers: [22, 88]
Generated Node #0,1,4: 29:[22, 88] Operation: 7+81=88
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 29:[22, 74], Operations: ['73-51=22', '81-7=74']
Exploring Operation: 22+74=96, Resulting Numbers: [96]
96,29 unequal: No Solution
Exploring Operation: 22*74=1628, Resulting Numbers: [1628]
1628,29 unequal: No Solution
Exploring Operation: 74-22=52, Resulting Numbers: [52]
52,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 29:[81, 29], Operations: ['73-51=22', '7+22=29']
Exploring Operation: 81*29=2349, Resulting Numbers: [2349]
2349,29 unequal: No Solution
Exploring Operation: 81+29=110, Resulting Numbers: [110]
110,29 unequal: No Solution
Exploring Operation: 81-29=52, Resulting Numbers: [52]
52,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 29:[7, 59], Operations: ['73-51=22', '81-22=59']
Exploring Operation: 7*59=413, Resulting Numbers: [413]
413,29 unequal: No Solution
Exploring Operation: 7+59=66, Resulting Numbers: [66]
66,29 unequal: No Solution
Exploring Operation: 59-7=52, Resulting Numbers: [52]
52,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 29:[81, 15], Operations: ['73-51=22', '22-7=15']
Exploring Operation: 81+15=96, Resulting Numbers: [96]
96,29 unequal: No Solution
Exploring Operation: 81*15=1215, Resulting Numbers: [1215]
1215,29 unequal: No Solution
Exploring Operation: 81-15=66, Resulting Numbers: [66]
66,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 29:[22, 88], Operations: ['73-51=22', '7+81=88']
Exploring Operation: 88/22=4, Resulting Numbers: [4]
4,29 unequal: No Solution
Exploring Operation: 22*88=1936, Resulting Numbers: [1936]
1936,29 unequal: No Solution
Exploring Operation: 88-22=66, Resulting Numbers: [66]
66,29 unequal: No Solution
Exploring Operation: 22+88=110, Resulting Numbers: [110]
110,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 29:[51, 81, 66], Operations: ['73-7=66']
Exploring Operation: 51+66=117, Resulting Numbers: [81, 117]
Generated Node #0,3,0: 29:[81, 117] Operation: 51+66=117
Exploring Operation: 81-51=30, Resulting Numbers: [66, 30]
Generated Node #0,3,1: 29:[66, 30] Operation: 81-51=30
Exploring Operation: 66-51=15, Resulting Numbers: [81, 15]
Generated Node #0,3,2: 29:[81, 15] Operation: 66-51=15
Exploring Operation: 81-66=15, Resulting Numbers: [51, 15]
Generated Node #0,3,3: 29:[51, 15] Operation: 81-66=15
Exploring Operation: 51+81=132, Resulting Numbers: [66, 132]
Generated Node #0,3,4: 29:[66, 132] Operation: 51+81=132
Moving to Node #0,4
Current State: 29:[73, 81, 44], Operations: ['51-7=44']
Exploring Operation: 81-73=8, Resulting Numbers: [44, 8]
Generated Node #0,4,0: 29:[44, 8] Operation: 81-73=8
Exploring Operation: 73+81=154, Resulting Numbers: [44, 154]
Generated Node #0,4,1: 29:[44, 154] Operation: 73+81=154
Exploring Operation: 73-44=29, Resulting Numbers: [81, 29]
Generated Node #0,4,2: 29:[81, 29] Operation: 73-44=29
Exploring Operation: 81-44=37, Resulting Numbers: [73, 37]
Generated Node #0,4,3: 29:[73, 37] Operation: 81-44=37
Exploring Operation: 73+44=117, Resulting Numbers: [81, 117]
Generated Node #0,4,4: 29:[81, 117] Operation: 73+44=117
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 29:[44, 8], Operations: ['51-7=44', '81-73=8']
Exploring Operation: 44*8=352, Resulting Numbers: [352]
352,29 unequal: No Solution
Exploring Operation: 44+8=52, Resulting Numbers: [52]
52,29 unequal: No Solution
Exploring Operation: 44-8=36, Resulting Numbers: [36]
36,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 29:[81, 29], Operations: ['51-7=44', '73-44=29']
Exploring Operation: 81-29=52, Resulting Numbers: [52]
52,29 unequal: No Solution
Exploring Operation: 81*29=2349, Resulting Numbers: [2349]
2349,29 unequal: No Solution
Exploring Operation: 81+29=110, Resulting Numbers: [110]
110,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 29:[73, 37], Operations: ['51-7=44', '81-44=37']
Exploring Operation: 73*37=2701, Resulting Numbers: [2701]
2701,29 unequal: No Solution
Exploring Operation: 73-37=36, Resulting Numbers: [36]
36,29 unequal: No Solution
Exploring Operation: 73+37=110, Resulting Numbers: [110]
110,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 29:[44, 154], Operations: ['51-7=44', '73+81=154']
Exploring Operation: 44*154=6776, Resulting Numbers: [6776]
6776,29 unequal: No Solution
Exploring Operation: 44+154=198, Resulting Numbers: [198]
198,29 unequal: No Solution
Exploring Operation: 154-44=110, Resulting Numbers: [110]
110,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 29:[81, 117], Operations: ['51-7=44', '73+44=117']
Exploring Operation: 81*117=9477, Resulting Numbers: [9477]
9477,29 unequal: No Solution
Exploring Operation: 81+117=198, Resulting Numbers: [198]
198,29 unequal: No Solution
Exploring Operation: 117-81=36, Resulting Numbers: [36]
36,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,4
Current State: 29:[7, 43], Operations: ['81-51=30', '73-30=43']
Exploring Operation: 43-7=36, Resulting Numbers: [36]
36,29 unequal: No Solution
Exploring Operation: 7+43=50, Resulting Numbers: [50]
50,29 unequal: No Solution
Exploring Operation: 7*43=301, Resulting Numbers: [301]
301,29 unequal: No Solution
Moving to Node #0,3,3
Current State: 29:[51, 15], Operations: ['73-7=66', '81-66=15']
Exploring Operation: 51*15=765, Resulting Numbers: [765]
765,29 unequal: No Solution
Exploring Operation: 51+15=66, Resulting Numbers: [66]
66,29 unequal: No Solution
Exploring Operation: 51-15=36, Resulting Numbers: [36]
36,29 unequal: No Solution
Moving to Node #0,3,1
Current State: 29:[66, 30], Operations: ['73-7=66', '81-51=30']
Exploring Operation: 66*30=1980, Resulting Numbers: [1980]
1980,29 unequal: No Solution
Exploring Operation: 66-30=36, Resulting Numbers: [36]
36,29 unequal: No Solution
Exploring Operation: 66+30=96, Resulting Numbers: [96]
96,29 unequal: No Solution
Moving to Node #0,2,2
Current State: 29:[30, 66], Operations: ['81-51=30', '73-7=66']
Exploring Operation: 30*66=1980, Resulting Numbers: [1980]
1980,29 unequal: No Solution
Exploring Operation: 30+66=96, Resulting Numbers: [96]
96,29 unequal: No Solution
Exploring Operation: 66-30=36, Resulting Numbers: [36]
36,29 unequal: No Solution
Moving to Node #0,2,1
Current State: 29:[73, 23], Operations: ['81-51=30', '30-7=23']
Exploring Operation: 73+23=96, Resulting Numbers: [96]
96,29 unequal: No Solution
Exploring Operation: 73*23=1679, Resulting Numbers: [1679]
1679,29 unequal: No Solution
Exploring Operation: 73-23=50, Resulting Numbers: [50]
50,29 unequal: No Solution
Moving to Node #0,2,3
Current State: 29:[73, 37], Operations: ['81-51=30', '7+30=37']
Exploring Operation: 73*37=2701, Resulting Numbers: [2701]
2701,29 unequal: No Solution
Exploring Operation: 73+37=110, Resulting Numbers: [110]
110,29 unequal: No Solution
Exploring Operation: 73-37=36, Resulting Numbers: [36]
36,29 unequal: No Solution
Moving to Node #0,2,0
Current State: 29:[30, 80], Operations: ['81-51=30', '7+73=80']
Exploring Operation: 80-30=50, Resulting Numbers: [50]
50,29 unequal: No Solution
Exploring Operation: 30*80=2400, Resulting Numbers: [2400]
2400,29 unequal: No Solution
Exploring Operation: 30+80=110, Resulting Numbers: [110]
110,29 unequal: No Solution
Moving to Node #0,3,2
Current State: 29:[81, 15], Operations: ['73-7=66', '66-51=15']
Exploring Operation: 81+15=96, Resulting Numbers: [96]
96,29 unequal: No Solution
Exploring Operation: 81*15=1215, Resulting Numbers: [1215]
1215,29 unequal: No Solution
Exploring Operation: 81-15=66, Resulting Numbers: [66]
66,29 unequal: No Solution
Moving to Node #0,3,4
Current State: 29:[66, 132], Operations: ['73-7=66', '51+81=132']
Exploring Operation: 66+132=198, Resulting Numbers: [198]
198,29 unequal: No Solution
Exploring Operation: 132-66=66, Resulting Numbers: [66]
66,29 unequal: No Solution
Exploring Operation: 66*132=8712, Resulting Numbers: [8712]
8712,29 unequal: No Solution
Exploring Operation: 132/66=2, Resulting Numbers: [2]
2,29 unequal: No Solution
Moving to Node #0,3,0
Current State: 29:[81, 117], Operations: ['73-7=66', '51+66=117']
Exploring Operation: 81+117=198, Resulting Numbers: [198]
198,29 unequal: No Solution
Exploring Operation: 81*117=9477, Resulting Numbers: [9477]
9477,29 unequal: No Solution
Exploring Operation: 117-81=36, Resulting Numbers: [36]
36,29 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
69,
45,
28,
93
] | 14 | [
"69*28=1932",
"45+93=138",
"1932/138=14"
] | Current State: 14:[69, 45, 28, 93], Operations: []
Exploring Operation: 69*28=1932, Resulting Numbers: [45, 93, 1932]
Generated Node #2: [45, 93, 1932] from Operation: 69*28=1932
Current State: 14:[45, 93, 1932], Operations: ['69*28=1932']
Exploring Operation: 45+93=138, Resulting Numbers: [1932, 138]
Generated Node #3: [1932, 138] from Operation: 45+93=138
Current State: 14:[1932, 138], Operations: ['69*28=1932', '45+93=138']
Exploring Operation: 1932/138=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[69, 45, 28, 93], Operations: []
Exploring Operation: 93-69=24, Resulting Numbers: [45, 28, 24]
Generated Node #0,0: 14:[45, 28, 24] Operation: 93-69=24
Start Sub Search at level 1: Moving to Node #0,0
Current State: 14:[45, 28, 24], Operations: ['93-69=24']
Exploring Operation: 45-28=17, Resulting Numbers: [24, 17]
Generated Node #0,0,0: 14:[24, 17] Operation: 45-28=17
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 14:[24, 17], Operations: ['93-69=24', '45-28=17']
Exploring Operation: 24-17=7, Resulting Numbers: [7]
7,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
55,
16,
2,
80
] | 82 | [
"55-16=39",
"80-39=41",
"2*41=82"
] | Current State: 82:[55, 16, 2, 80], Operations: []
Exploring Operation: 55-16=39, Resulting Numbers: [2, 80, 39]
Generated Node #2: [2, 80, 39] from Operation: 55-16=39
Current State: 82:[2, 80, 39], Operations: ['55-16=39']
Exploring Operation: 80-39=41, Resulting Numbers: [2, 41]
Generated Node #3: [2, 41] from Operation: 80-39=41
Current State: 82:[2, 41], Operations: ['55-16=39', '80-39=41']
Exploring Operation: 2*41=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[55, 16, 2, 80], Operations: []
Exploring Operation: 55-16=39, Resulting Numbers: [2, 80, 39]
Generated Node #0,0: 82:[2, 80, 39] Operation: 55-16=39
Moving to Node #0,0
Current State: 82:[2, 80, 39], Operations: ['55-16=39']
Exploring Operation: 80-39=41, Resulting Numbers: [2, 41]
Generated Node #0,0,0: 82:[2, 41] Operation: 80-39=41
Moving to Node #0,0,0
Current State: 82:[2, 41], Operations: ['55-16=39', '80-39=41']
Exploring Operation: 2*41=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Moving to Node #0
Current State: 82:[55, 16, 2, 80], Operations: []
Exploring Operation: 55-16=39, Resulting Numbers: [2, 80, 39]
Generated Node #0,0: 82:[2, 80, 39] Operation: 55-16=39
Moving to Node #0,0
Current State: 82:[2, 80, 39], Operations: ['55-16=39']
Exploring Operation: 80-39=41, Resulting Numbers: [2, 41]
Generated Node #0,0,0: 82:[2, 41] Operation: 80-39=41
Moving to Node #0,0,0
Current State: 82:[2, 41], Operations: ['55-16=39', '80-39=41']
Exploring Operation: 2*41=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 0.993924 | hs_1 | mult_heuristic |
[
92,
14,
87,
46
] | 80 | [
"92/46=2",
"14/2=7",
"87-7=80"
] | Current State: 80:[92, 14, 87, 46], Operations: []
Exploring Operation: 92/46=2, Resulting Numbers: [14, 87, 2]
Generated Node #2: [14, 87, 2] from Operation: 92/46=2
Current State: 80:[14, 87, 2], Operations: ['92/46=2']
Exploring Operation: 14/2=7, Resulting Numbers: [87, 7]
Generated Node #3: [87, 7] from Operation: 14/2=7
Current State: 80:[87, 7], Operations: ['92/46=2', '14/2=7']
Exploring Operation: 87-7=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[92, 14, 87, 46], Operations: []
Exploring Operation: 92/46=2, Resulting Numbers: [14, 87, 2]
Generated Node #0,0: 80:[14, 87, 2] Operation: 92/46=2
Exploring Operation: 92-87=5, Resulting Numbers: [14, 46, 5]
Generated Node #0,1: 80:[14, 46, 5] Operation: 92-87=5
Start Sub Search at level 1: Moving to Node #0,1
Current State: 80:[14, 46, 5], Operations: ['92-87=5']
Exploring Operation: 46-5=41, Resulting Numbers: [14, 41]
Generated Node #0,1,0: 80:[14, 41] Operation: 46-5=41
Exploring Operation: 14+5=19, Resulting Numbers: [46, 19]
Generated Node #0,1,1: 80:[46, 19] Operation: 14+5=19
Moving to Node #0,1,0
Current State: 80:[14, 41], Operations: ['92-87=5', '46-5=41']
Exploring Operation: 14+41=55, Resulting Numbers: [55]
55,80 unequal: No Solution
Exploring Operation: 41-14=27, Resulting Numbers: [27]
27,80 unequal: No Solution
Moving to Node #0,1,1
Current State: 80:[46, 19], Operations: ['92-87=5', '14+5=19']
Exploring Operation: 46+19=65, Resulting Numbers: [65]
65,80 unequal: No Solution
Exploring Operation: 46-19=27, Resulting Numbers: [27]
27,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 80:[14, 87, 2], Operations: ['92/46=2']
Exploring Operation: 87-14=73, Resulting Numbers: [2, 73]
Generated Node #0,0,0: 80:[2, 73] Operation: 87-14=73
Exploring Operation: 14+2=16, Resulting Numbers: [87, 16]
Generated Node #0,0,1: 80:[87, 16] Operation: 14+2=16
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 80:[2, 73], Operations: ['92/46=2', '87-14=73']
Exploring Operation: 73-2=71, Resulting Numbers: [71]
71,80 unequal: No Solution
Exploring Operation: 2+73=75, Resulting Numbers: [75]
75,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 80:[87, 16], Operations: ['92/46=2', '14+2=16']
Exploring Operation: 87-16=71, Resulting Numbers: [71]
71,80 unequal: No Solution
Exploring Operation: 87+16=103, Resulting Numbers: [103]
103,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
14,
32,
10,
7
] | 40 | [
"14/7=2",
"32+10=42",
"42-2=40"
] | Current State: 40:[14, 32, 10, 7], Operations: []
Exploring Operation: 14/7=2, Resulting Numbers: [32, 10, 2]
Generated Node #2: [32, 10, 2] from Operation: 14/7=2
Current State: 40:[32, 10, 2], Operations: ['14/7=2']
Exploring Operation: 32+10=42, Resulting Numbers: [2, 42]
Generated Node #3: [2, 42] from Operation: 32+10=42
Current State: 40:[2, 42], Operations: ['14/7=2', '32+10=42']
Exploring Operation: 42-2=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[14, 32, 10, 7], Operations: []
Exploring Operation: 32+7=39, Resulting Numbers: [14, 10, 39]
Generated Node #0,0: 40:[14, 10, 39] Operation: 32+7=39
Exploring Operation: 32-14=18, Resulting Numbers: [10, 7, 18]
Generated Node #0,1: 40:[10, 7, 18] Operation: 32-14=18
Start Sub Search at level 1: Moving to Node #0,1
Current State: 40:[10, 7, 18], Operations: ['32-14=18']
Exploring Operation: 18-7=11, Resulting Numbers: [10, 11]
Generated Node #0,1,0: 40:[10, 11] Operation: 18-7=11
Exploring Operation: 18-10=8, Resulting Numbers: [7, 8]
Generated Node #0,1,1: 40:[7, 8] Operation: 18-10=8
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 40:[10, 11], Operations: ['32-14=18', '18-7=11']
Exploring Operation: 10+11=21, Resulting Numbers: [21]
21,40 unequal: No Solution
Exploring Operation: 11-10=1, Resulting Numbers: [1]
1,40 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 40:[7, 8], Operations: ['32-14=18', '18-10=8']
Exploring Operation: 7+8=15, Resulting Numbers: [15]
15,40 unequal: No Solution
Exploring Operation: 8-7=1, Resulting Numbers: [1]
1,40 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 40:[14, 10, 39], Operations: ['32+7=39']
Exploring Operation: 14-10=4, Resulting Numbers: [39, 4]
Generated Node #0,0,0: 40:[39, 4] Operation: 14-10=4
Exploring Operation: 14+10=24, Resulting Numbers: [39, 24]
Generated Node #0,0,1: 40:[39, 24] Operation: 14+10=24
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 40:[39, 4], Operations: ['32+7=39', '14-10=4']
Exploring Operation: 39+4=43, Resulting Numbers: [43]
43,40 unequal: No Solution
Exploring Operation: 39-4=35, Resulting Numbers: [35]
35,40 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 40:[39, 24], Operations: ['32+7=39', '14+10=24']
Exploring Operation: 39+24=63, Resulting Numbers: [63]
63,40 unequal: No Solution
Exploring Operation: 39-24=15, Resulting Numbers: [15]
15,40 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
33,
97,
15,
8
] | 57 | [
"97-33=64",
"15-8=7",
"64-7=57"
] | Current State: 57:[33, 97, 15, 8], Operations: []
Exploring Operation: 97-33=64, Resulting Numbers: [15, 8, 64]
Generated Node #2: [15, 8, 64] from Operation: 97-33=64
Current State: 57:[15, 8, 64], Operations: ['97-33=64']
Exploring Operation: 15-8=7, Resulting Numbers: [64, 7]
Generated Node #3: [64, 7] from Operation: 15-8=7
Current State: 57:[64, 7], Operations: ['97-33=64', '15-8=7']
Exploring Operation: 64-7=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[33, 97, 15, 8], Operations: []
Exploring Operation: 97-33=64, Resulting Numbers: [15, 8, 64]
Generated Node #0,0: 57:[15, 8, 64] Operation: 97-33=64
Exploring Operation: 97-15=82, Resulting Numbers: [33, 8, 82]
Generated Node #0,1: 57:[33, 8, 82] Operation: 97-15=82
Start Sub Search at level 1: Moving to Node #0,0
Current State: 57:[15, 8, 64], Operations: ['97-33=64']
Exploring Operation: 64-8=56, Resulting Numbers: [15, 56]
Generated Node #0,0,0: 57:[15, 56] Operation: 64-8=56
Exploring Operation: 64/8=8, Resulting Numbers: [15, 8]
Generated Node #0,0,1: 57:[15, 8] Operation: 64/8=8
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 57:[15, 56], Operations: ['97-33=64', '64-8=56']
Exploring Operation: 15+56=71, Resulting Numbers: [71]
71,57 unequal: No Solution
Exploring Operation: 56-15=41, Resulting Numbers: [41]
41,57 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 57:[15, 8], Operations: ['97-33=64', '64/8=8']
Exploring Operation: 15+8=23, Resulting Numbers: [23]
23,57 unequal: No Solution
Exploring Operation: 15-8=7, Resulting Numbers: [7]
7,57 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 57:[33, 8, 82], Operations: ['97-15=82']
Exploring Operation: 82-33=49, Resulting Numbers: [8, 49]
Generated Node #0,1,0: 57:[8, 49] Operation: 82-33=49
Exploring Operation: 33-8=25, Resulting Numbers: [82, 25]
Generated Node #0,1,1: 57:[82, 25] Operation: 33-8=25
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 57:[8, 49], Operations: ['97-15=82', '82-33=49']
Exploring Operation: 49-8=41, Resulting Numbers: [41]
41,57 unequal: No Solution
Exploring Operation: 8+49=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Moving to Node #0
Current State: 57:[33, 97, 15, 8], Operations: []
Exploring Operation: 97-15=82, Resulting Numbers: [33, 8, 82]
Generated Node #0,1: 57:[33, 8, 82] Operation: 97-15=82
Moving to Node #0,1
Current State: 57:[33, 8, 82], Operations: ['97-15=82']
Exploring Operation: 82-33=49, Resulting Numbers: [8, 49]
Generated Node #0,1,0: 57:[8, 49] Operation: 82-33=49
Moving to Node #0,1,0
Current State: 57:[8, 49], Operations: ['97-15=82', '82-33=49']
Exploring Operation: 8+49=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_2 | mult_heuristic |
[
50,
93,
21,
69
] | 95 | [
"50+93=143",
"69-21=48",
"143-48=95"
] | Current State: 95:[50, 93, 21, 69], Operations: []
Exploring Operation: 50+93=143, Resulting Numbers: [21, 69, 143]
Generated Node #2: [21, 69, 143] from Operation: 50+93=143
Current State: 95:[21, 69, 143], Operations: ['50+93=143']
Exploring Operation: 69-21=48, Resulting Numbers: [143, 48]
Generated Node #3: [143, 48] from Operation: 69-21=48
Current State: 95:[143, 48], Operations: ['50+93=143', '69-21=48']
Exploring Operation: 143-48=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[50, 93, 21, 69], Operations: []
Exploring Operation: 69-50=19, Resulting Numbers: [93, 21, 19]
Generated Node #0,0: 95:[93, 21, 19] Operation: 69-50=19
Start Sub Search at level 1: Moving to Node #0,0
Current State: 95:[93, 21, 19], Operations: ['69-50=19']
Exploring Operation: 21-19=2, Resulting Numbers: [93, 2]
Generated Node #0,0,0: 95:[93, 2] Operation: 21-19=2
Moving to Node #0,0,0
Current State: 95:[93, 2], Operations: ['69-50=19', '21-19=2']
Exploring Operation: 93+2=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Moving to Node #0
Current State: 95:[50, 93, 21, 69], Operations: []
Exploring Operation: 69-50=19, Resulting Numbers: [93, 21, 19]
Generated Node #0,0: 95:[93, 21, 19] Operation: 69-50=19
Moving to Node #0,0
Current State: 95:[93, 21, 19], Operations: ['69-50=19']
Exploring Operation: 21-19=2, Resulting Numbers: [93, 2]
Generated Node #0,0,0: 95:[93, 2] Operation: 21-19=2
Moving to Node #0,0,0
Current State: 95:[93, 2], Operations: ['69-50=19', '21-19=2']
Exploring Operation: 93+2=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
38,
54,
48,
6
] | 58 | [
"54-38=16",
"48-6=42",
"16+42=58"
] | Current State: 58:[38, 54, 48, 6], Operations: []
Exploring Operation: 54-38=16, Resulting Numbers: [48, 6, 16]
Generated Node #2: [48, 6, 16] from Operation: 54-38=16
Current State: 58:[48, 6, 16], Operations: ['54-38=16']
Exploring Operation: 48-6=42, Resulting Numbers: [16, 42]
Generated Node #3: [16, 42] from Operation: 48-6=42
Current State: 58:[16, 42], Operations: ['54-38=16', '48-6=42']
Exploring Operation: 16+42=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[38, 54, 48, 6], Operations: []
Exploring Operation: 48-38=10, Resulting Numbers: [54, 6, 10]
Generated Node #0,0: 58:[54, 6, 10] Operation: 48-38=10
Exploring Operation: 54-48=6, Resulting Numbers: [38, 6, 6]
Generated Node #0,1: 58:[38, 6, 6] Operation: 54-48=6
Exploring Operation: 48+6=54, Resulting Numbers: [38, 54, 54]
Generated Node #0,2: 58:[38, 54, 54] Operation: 48+6=54
Exploring Operation: 38-6=32, Resulting Numbers: [54, 48, 32]
Generated Node #0,3: 58:[54, 48, 32] Operation: 38-6=32
Start Sub Search at level 1: Moving to Node #0,0
Current State: 58:[54, 6, 10], Operations: ['48-38=10']
Exploring Operation: 54+10=64, Resulting Numbers: [6, 64]
Generated Node #0,0,0: 58:[6, 64] Operation: 54+10=64
Exploring Operation: 54+6=60, Resulting Numbers: [10, 60]
Generated Node #0,0,1: 58:[10, 60] Operation: 54+6=60
Exploring Operation: 10-6=4, Resulting Numbers: [54, 4]
Generated Node #0,0,2: 58:[54, 4] Operation: 10-6=4
Exploring Operation: 6*10=60, Resulting Numbers: [54, 60]
Generated Node #0,0,3: 58:[54, 60] Operation: 6*10=60
Moving to Node #0,0,2
Current State: 58:[54, 4], Operations: ['48-38=10', '10-6=4']
Exploring Operation: 54-4=50, Resulting Numbers: [50]
50,58 unequal: No Solution
Exploring Operation: 54*4=216, Resulting Numbers: [216]
216,58 unequal: No Solution
Exploring Operation: 54+4=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[38, 54, 48, 6], Operations: []
Exploring Operation: 48-38=10, Resulting Numbers: [54, 6, 10]
Generated Node #0,0: 58:[54, 6, 10] Operation: 48-38=10
Moving to Node #0,0
Current State: 58:[54, 6, 10], Operations: ['48-38=10']
Exploring Operation: 10-6=4, Resulting Numbers: [54, 4]
Generated Node #0,0,2: 58:[54, 4] Operation: 10-6=4
Moving to Node #0,0,2
Current State: 58:[54, 4], Operations: ['48-38=10', '10-6=4']
Exploring Operation: 54+4=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | sum_heuristic |
[
93,
70,
57,
2
] | 71 | [
"93-57=36",
"70/2=35",
"36+35=71"
] | Current State: 71:[93, 70, 57, 2], Operations: []
Exploring Operation: 93-57=36, Resulting Numbers: [70, 2, 36]
Generated Node #2: [70, 2, 36] from Operation: 93-57=36
Current State: 71:[70, 2, 36], Operations: ['93-57=36']
Exploring Operation: 70/2=35, Resulting Numbers: [36, 35]
Generated Node #3: [36, 35] from Operation: 70/2=35
Current State: 71:[36, 35], Operations: ['93-57=36', '70/2=35']
Exploring Operation: 36+35=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[93, 70, 57, 2], Operations: []
Exploring Operation: 93-2=91, Resulting Numbers: [70, 57, 91]
Generated Node #0,0: 71:[70, 57, 91] Operation: 93-2=91
Exploring Operation: 57+2=59, Resulting Numbers: [93, 70, 59]
Generated Node #0,1: 71:[93, 70, 59] Operation: 57+2=59
Moving to Node #0,0
Current State: 71:[70, 57, 91], Operations: ['93-2=91']
Exploring Operation: 91-57=34, Resulting Numbers: [70, 34]
Generated Node #0,0,0: 71:[70, 34] Operation: 91-57=34
Exploring Operation: 91-70=21, Resulting Numbers: [57, 21]
Generated Node #0,0,1: 71:[57, 21] Operation: 91-70=21
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 71:[70, 34], Operations: ['93-2=91', '91-57=34']
Exploring Operation: 70+34=104, Resulting Numbers: [104]
104,71 unequal: No Solution
Exploring Operation: 70-34=36, Resulting Numbers: [36]
36,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 71:[57, 21], Operations: ['93-2=91', '91-70=21']
Exploring Operation: 57-21=36, Resulting Numbers: [36]
36,71 unequal: No Solution
Exploring Operation: 57+21=78, Resulting Numbers: [78]
78,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 71:[93, 70, 59], Operations: ['57+2=59']
Exploring Operation: 93-70=23, Resulting Numbers: [59, 23]
Generated Node #0,1,0: 71:[59, 23] Operation: 93-70=23
Exploring Operation: 93-59=34, Resulting Numbers: [70, 34]
Generated Node #0,1,1: 71:[70, 34] Operation: 93-59=34
Moving to Node #0,1,1
Current State: 71:[70, 34], Operations: ['57+2=59', '93-59=34']
Exploring Operation: 70+34=104, Resulting Numbers: [104]
104,71 unequal: No Solution
Exploring Operation: 70-34=36, Resulting Numbers: [36]
36,71 unequal: No Solution
Moving to Node #0,1,0
Current State: 71:[59, 23], Operations: ['57+2=59', '93-70=23']
Exploring Operation: 59-23=36, Resulting Numbers: [36]
36,71 unequal: No Solution
Exploring Operation: 59+23=82, Resulting Numbers: [82]
82,71 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
1,
23,
68,
34
] | 45 | [
"23*68=1564",
"1564/34=46",
"46-1=45"
] | Current State: 45:[1, 23, 68, 34], Operations: []
Exploring Operation: 23*68=1564, Resulting Numbers: [1, 34, 1564]
Generated Node #2: [1, 34, 1564] from Operation: 23*68=1564
Current State: 45:[1, 34, 1564], Operations: ['23*68=1564']
Exploring Operation: 1564/34=46, Resulting Numbers: [1, 46]
Generated Node #3: [1, 46] from Operation: 1564/34=46
Current State: 45:[1, 46], Operations: ['23*68=1564', '1564/34=46']
Exploring Operation: 46-1=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[1, 23, 68, 34], Operations: []
Exploring Operation: 68-34=34, Resulting Numbers: [1, 23, 34]
Generated Node #0,0: 45:[1, 23, 34] Operation: 68-34=34
Exploring Operation: 68/34=2, Resulting Numbers: [1, 23, 2]
Generated Node #0,1: 45:[1, 23, 2] Operation: 68/34=2
Exploring Operation: 68-23=45, Resulting Numbers: [1, 34, 45]
Generated Node #0,2: 45:[1, 34, 45] Operation: 68-23=45
Moving to Node #0,1
Current State: 45:[1, 23, 2], Operations: ['68/34=2']
Exploring Operation: 1+2=3, Resulting Numbers: [23, 3]
Generated Node #0,1,0: 45:[23, 3] Operation: 1+2=3
Exploring Operation: 23-1=22, Resulting Numbers: [2, 22]
Generated Node #0,1,1: 45:[2, 22] Operation: 23-1=22
Exploring Operation: 23*2=46, Resulting Numbers: [1, 46]
Generated Node #0,1,2: 45:[1, 46] Operation: 23*2=46
Moving to Node #0,2
Current State: 45:[1, 34, 45], Operations: ['68-23=45']
Exploring Operation: 1+34=35, Resulting Numbers: [45, 35]
Generated Node #0,2,0: 45:[45, 35] Operation: 1+34=35
Exploring Operation: 1*34=34, Resulting Numbers: [45, 34]
Generated Node #0,2,1: 45:[45, 34] Operation: 1*34=34
Exploring Operation: 45-34=11, Resulting Numbers: [1, 11]
Generated Node #0,2,2: 45:[1, 11] Operation: 45-34=11
Moving to Node #0,0
Current State: 45:[1, 23, 34], Operations: ['68-34=34']
Exploring Operation: 23+34=57, Resulting Numbers: [1, 57]
Generated Node #0,0,0: 45:[1, 57] Operation: 23+34=57
Exploring Operation: 23-1=22, Resulting Numbers: [34, 22]
Generated Node #0,0,1: 45:[34, 22] Operation: 23-1=22
Exploring Operation: 34-23=11, Resulting Numbers: [1, 11]
Generated Node #0,0,2: 45:[1, 11] Operation: 34-23=11
Moving to Node #0,1,2
Current State: 45:[1, 46], Operations: ['68/34=2', '23*2=46']
Exploring Operation: 46/1=46, Resulting Numbers: [46]
46,45 unequal: No Solution
Exploring Operation: 46-1=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Moving to Node #0
Current State: 45:[1, 23, 68, 34], Operations: []
Exploring Operation: 68/34=2, Resulting Numbers: [1, 23, 2]
Generated Node #0,1: 45:[1, 23, 2] Operation: 68/34=2
Moving to Node #0,1
Current State: 45:[1, 23, 2], Operations: ['68/34=2']
Exploring Operation: 23*2=46, Resulting Numbers: [1, 46]
Generated Node #0,1,2: 45:[1, 46] Operation: 23*2=46
Moving to Node #0,1,2
Current State: 45:[1, 46], Operations: ['68/34=2', '23*2=46']
Exploring Operation: 46-1=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 0.984375 | hs_3 | mult_heuristic |
[
30,
21,
64,
5
] | 50 | [
"30-21=9",
"64-5=59",
"59-9=50"
] | Current State: 50:[30, 21, 64, 5], Operations: []
Exploring Operation: 30-21=9, Resulting Numbers: [64, 5, 9]
Generated Node #2: [64, 5, 9] from Operation: 30-21=9
Current State: 50:[64, 5, 9], Operations: ['30-21=9']
Exploring Operation: 64-5=59, Resulting Numbers: [9, 59]
Generated Node #3: [9, 59] from Operation: 64-5=59
Current State: 50:[9, 59], Operations: ['30-21=9', '64-5=59']
Exploring Operation: 59-9=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[30, 21, 64, 5], Operations: []
Exploring Operation: 30+21=51, Resulting Numbers: [64, 5, 51]
Generated Node #0,0: 50:[64, 5, 51] Operation: 30+21=51
Exploring Operation: 64-30=34, Resulting Numbers: [21, 5, 34]
Generated Node #0,1: 50:[21, 5, 34] Operation: 64-30=34
Exploring Operation: 64-21=43, Resulting Numbers: [30, 5, 43]
Generated Node #0,2: 50:[30, 5, 43] Operation: 64-21=43
Start Sub Search at level 1: Moving to Node #0,2
Current State: 50:[30, 5, 43], Operations: ['64-21=43']
Exploring Operation: 43-30=13, Resulting Numbers: [5, 13]
Generated Node #0,2,0: 50:[5, 13] Operation: 43-30=13
Exploring Operation: 5+43=48, Resulting Numbers: [30, 48]
Generated Node #0,2,1: 50:[30, 48] Operation: 5+43=48
Exploring Operation: 30-5=25, Resulting Numbers: [43, 25]
Generated Node #0,2,2: 50:[43, 25] Operation: 30-5=25
Moving to Node #0,2,0
Current State: 50:[5, 13], Operations: ['64-21=43', '43-30=13']
Exploring Operation: 13-5=8, Resulting Numbers: [8]
8,50 unequal: No Solution
Exploring Operation: 5*13=65, Resulting Numbers: [65]
65,50 unequal: No Solution
Exploring Operation: 5+13=18, Resulting Numbers: [18]
18,50 unequal: No Solution
Moving to Node #0,2,1
Current State: 50:[30, 48], Operations: ['64-21=43', '5+43=48']
Exploring Operation: 30*48=1440, Resulting Numbers: [1440]
1440,50 unequal: No Solution
Exploring Operation: 48-30=18, Resulting Numbers: [18]
18,50 unequal: No Solution
Exploring Operation: 30+48=78, Resulting Numbers: [78]
78,50 unequal: No Solution
Moving to Node #0,2,2
Current State: 50:[43, 25], Operations: ['64-21=43', '30-5=25']
Exploring Operation: 43*25=1075, Resulting Numbers: [1075]
1075,50 unequal: No Solution
Exploring Operation: 43-25=18, Resulting Numbers: [18]
18,50 unequal: No Solution
Exploring Operation: 43+25=68, Resulting Numbers: [68]
68,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 50:[21, 5, 34], Operations: ['64-30=34']
Exploring Operation: 34-21=13, Resulting Numbers: [5, 13]
Generated Node #0,1,0: 50:[5, 13] Operation: 34-21=13
Exploring Operation: 21+34=55, Resulting Numbers: [5, 55]
Generated Node #0,1,1: 50:[5, 55] Operation: 21+34=55
Exploring Operation: 34-5=29, Resulting Numbers: [21, 29]
Generated Node #0,1,2: 50:[21, 29] Operation: 34-5=29
Moving to Node #0,1,0
Current State: 50:[5, 13], Operations: ['64-30=34', '34-21=13']
Exploring Operation: 5*13=65, Resulting Numbers: [65]
65,50 unequal: No Solution
Exploring Operation: 5+13=18, Resulting Numbers: [18]
18,50 unequal: No Solution
Exploring Operation: 13-5=8, Resulting Numbers: [8]
8,50 unequal: No Solution
Moving to Node #0,1,1
Current State: 50:[5, 55], Operations: ['64-30=34', '21+34=55']
Exploring Operation: 55/5=11, Resulting Numbers: [11]
11,50 unequal: No Solution
Exploring Operation: 55-5=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Moving to Node #0
Current State: 50:[30, 21, 64, 5], Operations: []
Exploring Operation: 64-30=34, Resulting Numbers: [21, 5, 34]
Generated Node #0,1: 50:[21, 5, 34] Operation: 64-30=34
Moving to Node #0,1
Current State: 50:[21, 5, 34], Operations: ['64-30=34']
Exploring Operation: 21+34=55, Resulting Numbers: [5, 55]
Generated Node #0,1,1: 50:[5, 55] Operation: 21+34=55
Moving to Node #0,1,1
Current State: 50:[5, 55], Operations: ['64-30=34', '21+34=55']
Exploring Operation: 55-5=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Exit Sub Search at level 1
| 0.976563 | hs_3 | mult_heuristic |
[
71,
34,
27,
4
] | 71 | [
"71-34=37",
"27*4=108",
"108-37=71"
] | Current State: 71:[71, 34, 27, 4], Operations: []
Exploring Operation: 71-34=37, Resulting Numbers: [27, 4, 37]
Generated Node #2: [27, 4, 37] from Operation: 71-34=37
Current State: 71:[27, 4, 37], Operations: ['71-34=37']
Exploring Operation: 27*4=108, Resulting Numbers: [37, 108]
Generated Node #3: [37, 108] from Operation: 27*4=108
Current State: 71:[37, 108], Operations: ['71-34=37', '27*4=108']
Exploring Operation: 108-37=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[71, 34, 27, 4], Operations: []
Exploring Operation: 34+27=61, Resulting Numbers: [71, 4, 61]
Generated Node #0,0: 71:[71, 4, 61] Operation: 34+27=61
Exploring Operation: 27*4=108, Resulting Numbers: [71, 34, 108]
Generated Node #0,1: 71:[71, 34, 108] Operation: 27*4=108
Exploring Operation: 34+4=38, Resulting Numbers: [71, 27, 38]
Generated Node #0,2: 71:[71, 27, 38] Operation: 34+4=38
Start Sub Search at level 1: Moving to Node #0,1
Current State: 71:[71, 34, 108], Operations: ['27*4=108']
Exploring Operation: 71-34=37, Resulting Numbers: [108, 37]
Generated Node #0,1,0: 71:[108, 37] Operation: 71-34=37
Exploring Operation: 71+34=105, Resulting Numbers: [108, 105]
Generated Node #0,1,1: 71:[108, 105] Operation: 71+34=105
Exploring Operation: 108-34=74, Resulting Numbers: [71, 74]
Generated Node #0,1,2: 71:[71, 74] Operation: 108-34=74
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 71:[71, 74], Operations: ['27*4=108', '108-34=74']
Exploring Operation: 71+74=145, Resulting Numbers: [145]
145,71 unequal: No Solution
Exploring Operation: 71*74=5254, Resulting Numbers: [5254]
5254,71 unequal: No Solution
Exploring Operation: 74-71=3, Resulting Numbers: [3]
3,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 71:[108, 37], Operations: ['27*4=108', '71-34=37']
Exploring Operation: 108-37=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
Moving to Node #0
Current State: 71:[71, 34, 27, 4], Operations: []
Exploring Operation: 27*4=108, Resulting Numbers: [71, 34, 108]
Generated Node #0,1: 71:[71, 34, 108] Operation: 27*4=108
Moving to Node #0,1
Current State: 71:[71, 34, 108], Operations: ['27*4=108']
Exploring Operation: 71-34=37, Resulting Numbers: [108, 37]
Generated Node #0,1,0: 71:[108, 37] Operation: 71-34=37
Moving to Node #0,1,0
Current State: 71:[108, 37], Operations: ['27*4=108', '71-34=37']
Exploring Operation: 108-37=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.987847 | hs_3 | mult_heuristic |
[
77,
5,
9,
23
] | 83 | [
"9+23=32",
"5*32=160",
"160-77=83"
] | Current State: 83:[77, 5, 9, 23], Operations: []
Exploring Operation: 9+23=32, Resulting Numbers: [77, 5, 32]
Generated Node #2: [77, 5, 32] from Operation: 9+23=32
Current State: 83:[77, 5, 32], Operations: ['9+23=32']
Exploring Operation: 5*32=160, Resulting Numbers: [77, 160]
Generated Node #3: [77, 160] from Operation: 5*32=160
Current State: 83:[77, 160], Operations: ['9+23=32', '5*32=160']
Exploring Operation: 160-77=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[77, 5, 9, 23], Operations: []
Exploring Operation: 77+5=82, Resulting Numbers: [9, 23, 82]
Generated Node #0,0: 83:[9, 23, 82] Operation: 77+5=82
Exploring Operation: 5*9=45, Resulting Numbers: [77, 23, 45]
Generated Node #0,1: 83:[77, 23, 45] Operation: 5*9=45
Exploring Operation: 5*23=115, Resulting Numbers: [77, 9, 115]
Generated Node #0,2: 83:[77, 9, 115] Operation: 5*23=115
Moving to Node #0,1
Current State: 83:[77, 23, 45], Operations: ['5*9=45']
Exploring Operation: 77+23=100, Resulting Numbers: [45, 100]
Generated Node #0,1,0: 83:[45, 100] Operation: 77+23=100
Exploring Operation: 77-23=54, Resulting Numbers: [45, 54]
Generated Node #0,1,1: 83:[45, 54] Operation: 77-23=54
Exploring Operation: 23+45=68, Resulting Numbers: [77, 68]
Generated Node #0,1,2: 83:[77, 68] Operation: 23+45=68
Moving to Node #0,2
Current State: 83:[77, 9, 115], Operations: ['5*23=115']
Exploring Operation: 77+9=86, Resulting Numbers: [115, 86]
Generated Node #0,2,0: 83:[115, 86] Operation: 77+9=86
Exploring Operation: 115-9=106, Resulting Numbers: [77, 106]
Generated Node #0,2,1: 83:[77, 106] Operation: 115-9=106
Exploring Operation: 77-9=68, Resulting Numbers: [115, 68]
Generated Node #0,2,2: 83:[115, 68] Operation: 77-9=68
Moving to Node #0,0
Current State: 83:[9, 23, 82], Operations: ['77+5=82']
Exploring Operation: 23-9=14, Resulting Numbers: [82, 14]
Generated Node #0,0,0: 83:[82, 14] Operation: 23-9=14
Exploring Operation: 9+23=32, Resulting Numbers: [82, 32]
Generated Node #0,0,1: 83:[82, 32] Operation: 9+23=32
Exploring Operation: 9+82=91, Resulting Numbers: [23, 91]
Generated Node #0,0,2: 83:[23, 91] Operation: 9+82=91
Moving to Node #0,1,2
Current State: 83:[77, 68], Operations: ['5*9=45', '23+45=68']
Exploring Operation: 77-68=9, Resulting Numbers: [9]
9,83 unequal: No Solution
Exploring Operation: 77+68=145, Resulting Numbers: [145]
145,83 unequal: No Solution
Exploring Operation: 77*68=5236, Resulting Numbers: [5236]
5236,83 unequal: No Solution
Moving to Node #0,2,1
Current State: 83:[77, 106], Operations: ['5*23=115', '115-9=106']
Exploring Operation: 77*106=8162, Resulting Numbers: [8162]
8162,83 unequal: No Solution
Exploring Operation: 106-77=29, Resulting Numbers: [29]
29,83 unequal: No Solution
Exploring Operation: 77+106=183, Resulting Numbers: [183]
183,83 unequal: No Solution
Moving to Node #0,2,0
Current State: 83:[115, 86], Operations: ['5*23=115', '77+9=86']
Exploring Operation: 115-86=29, Resulting Numbers: [29]
29,83 unequal: No Solution
Exploring Operation: 115+86=201, Resulting Numbers: [201]
201,83 unequal: No Solution
Exploring Operation: 115*86=9890, Resulting Numbers: [9890]
9890,83 unequal: No Solution
Moving to Node #0,2,2
Current State: 83:[115, 68], Operations: ['5*23=115', '77-9=68']
Exploring Operation: 115+68=183, Resulting Numbers: [183]
183,83 unequal: No Solution
Exploring Operation: 115*68=7820, Resulting Numbers: [7820]
7820,83 unequal: No Solution
Exploring Operation: 115-68=47, Resulting Numbers: [47]
47,83 unequal: No Solution
Moving to Node #0,0,1
Current State: 83:[82, 32], Operations: ['77+5=82', '9+23=32']
Exploring Operation: 82-32=50, Resulting Numbers: [50]
50,83 unequal: No Solution
Exploring Operation: 82+32=114, Resulting Numbers: [114]
114,83 unequal: No Solution
Exploring Operation: 82*32=2624, Resulting Numbers: [2624]
2624,83 unequal: No Solution
Moving to Node #0,1,0
Current State: 83:[45, 100], Operations: ['5*9=45', '77+23=100']
Exploring Operation: 45+100=145, Resulting Numbers: [145]
145,83 unequal: No Solution
Exploring Operation: 100-45=55, Resulting Numbers: [55]
55,83 unequal: No Solution
Exploring Operation: 45*100=4500, Resulting Numbers: [4500]
4500,83 unequal: No Solution
Moving to Node #0,1,1
Current State: 83:[45, 54], Operations: ['5*9=45', '77-23=54']
Exploring Operation: 45*54=2430, Resulting Numbers: [2430]
2430,83 unequal: No Solution
Exploring Operation: 45+54=99, Resulting Numbers: [99]
99,83 unequal: No Solution
Exploring Operation: 54-45=9, Resulting Numbers: [9]
9,83 unequal: No Solution
Moving to Node #0,0,2
Current State: 83:[23, 91], Operations: ['77+5=82', '9+82=91']
Exploring Operation: 23*91=2093, Resulting Numbers: [2093]
2093,83 unequal: No Solution
Exploring Operation: 91-23=68, Resulting Numbers: [68]
68,83 unequal: No Solution
Exploring Operation: 23+91=114, Resulting Numbers: [114]
114,83 unequal: No Solution
Moving to Node #0,0,0
Current State: 83:[82, 14], Operations: ['77+5=82', '23-9=14']
Exploring Operation: 82*14=1148, Resulting Numbers: [1148]
1148,83 unequal: No Solution
Exploring Operation: 82+14=96, Resulting Numbers: [96]
96,83 unequal: No Solution
Exploring Operation: 82-14=68, Resulting Numbers: [68]
68,83 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
20,
46,
71,
19
] | 26 | [
"46-20=26",
"71-19=52",
"52-26=26"
] | Current State: 26:[20, 46, 71, 19], Operations: []
Exploring Operation: 46-20=26, Resulting Numbers: [71, 19, 26]
Generated Node #2: [71, 19, 26] from Operation: 46-20=26
Current State: 26:[71, 19, 26], Operations: ['46-20=26']
Exploring Operation: 71-19=52, Resulting Numbers: [26, 52]
Generated Node #3: [26, 52] from Operation: 71-19=52
Current State: 26:[26, 52], Operations: ['46-20=26', '71-19=52']
Exploring Operation: 52-26=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[20, 46, 71, 19], Operations: []
Exploring Operation: 46-20=26, Resulting Numbers: [71, 19, 26]
Generated Node #0,0: 26:[71, 19, 26] Operation: 46-20=26
Exploring Operation: 71-19=52, Resulting Numbers: [20, 46, 52]
Generated Node #0,1: 26:[20, 46, 52] Operation: 71-19=52
Exploring Operation: 46-19=27, Resulting Numbers: [20, 71, 27]
Generated Node #0,2: 26:[20, 71, 27] Operation: 46-19=27
Exploring Operation: 71-46=25, Resulting Numbers: [20, 19, 25]
Generated Node #0,3: 26:[20, 19, 25] Operation: 71-46=25
Exploring Operation: 71-20=51, Resulting Numbers: [46, 19, 51]
Generated Node #0,4: 26:[46, 19, 51] Operation: 71-20=51
Start Sub Search at level 1: Moving to Node #0,3
Current State: 26:[20, 19, 25], Operations: ['71-46=25']
Exploring Operation: 25-19=6, Resulting Numbers: [20, 6]
Generated Node #0,3,0: 26:[20, 6] Operation: 25-19=6
Exploring Operation: 20+19=39, Resulting Numbers: [25, 39]
Generated Node #0,3,1: 26:[25, 39] Operation: 20+19=39
Exploring Operation: 19+25=44, Resulting Numbers: [20, 44]
Generated Node #0,3,2: 26:[20, 44] Operation: 19+25=44
Exploring Operation: 20-19=1, Resulting Numbers: [25, 1]
Generated Node #0,3,3: 26:[25, 1] Operation: 20-19=1
Exploring Operation: 25-20=5, Resulting Numbers: [19, 5]
Generated Node #0,3,4: 26:[19, 5] Operation: 25-20=5
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 26:[25, 1], Operations: ['71-46=25', '20-19=1']
Exploring Operation: 25/1=25, Resulting Numbers: [25]
25,26 unequal: No Solution
Exploring Operation: 25+1=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Moving to Node #0
Current State: 26:[20, 46, 71, 19], Operations: []
Exploring Operation: 71-46=25, Resulting Numbers: [20, 19, 25]
Generated Node #0,3: 26:[20, 19, 25] Operation: 71-46=25
Moving to Node #0,3
Current State: 26:[20, 19, 25], Operations: ['71-46=25']
Exploring Operation: 20-19=1, Resulting Numbers: [25, 1]
Generated Node #0,3,3: 26:[25, 1] Operation: 20-19=1
Moving to Node #0,3,3
Current State: 26:[25, 1], Operations: ['71-46=25', '20-19=1']
Exploring Operation: 25+1=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_5 | mult_heuristic |
[
41,
23,
28,
55
] | 25 | [
"55-41=14",
"28/14=2",
"23+2=25"
] | Current State: 25:[41, 23, 28, 55], Operations: []
Exploring Operation: 55-41=14, Resulting Numbers: [23, 28, 14]
Generated Node #2: [23, 28, 14] from Operation: 55-41=14
Current State: 25:[23, 28, 14], Operations: ['55-41=14']
Exploring Operation: 28/14=2, Resulting Numbers: [23, 2]
Generated Node #3: [23, 2] from Operation: 28/14=2
Current State: 25:[23, 2], Operations: ['55-41=14', '28/14=2']
Exploring Operation: 23+2=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[41, 23, 28, 55], Operations: []
Exploring Operation: 55-41=14, Resulting Numbers: [23, 28, 14]
Generated Node #0,0: 25:[23, 28, 14] Operation: 55-41=14
Start Sub Search at level 1: Moving to Node #0,0
Current State: 25:[23, 28, 14], Operations: ['55-41=14']
Exploring Operation: 28/14=2, Resulting Numbers: [23, 2]
Generated Node #0,0,0: 25:[23, 2] Operation: 28/14=2
Moving to Node #0,0,0
Current State: 25:[23, 2], Operations: ['55-41=14', '28/14=2']
Exploring Operation: 23+2=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Moving to Node #0
Current State: 25:[41, 23, 28, 55], Operations: []
Exploring Operation: 55-41=14, Resulting Numbers: [23, 28, 14]
Generated Node #0,0: 25:[23, 28, 14] Operation: 55-41=14
Moving to Node #0,0
Current State: 25:[23, 28, 14], Operations: ['55-41=14']
Exploring Operation: 28/14=2, Resulting Numbers: [23, 2]
Generated Node #0,0,0: 25:[23, 2] Operation: 28/14=2
Moving to Node #0,0,0
Current State: 25:[23, 2], Operations: ['55-41=14', '28/14=2']
Exploring Operation: 23+2=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
42,
6,
24,
71
] | 37 | [
"42-24=18",
"6*18=108",
"108-71=37"
] | Current State: 37:[42, 6, 24, 71], Operations: []
Exploring Operation: 42-24=18, Resulting Numbers: [6, 71, 18]
Generated Node #2: [6, 71, 18] from Operation: 42-24=18
Current State: 37:[6, 71, 18], Operations: ['42-24=18']
Exploring Operation: 6*18=108, Resulting Numbers: [71, 108]
Generated Node #3: [71, 108] from Operation: 6*18=108
Current State: 37:[71, 108], Operations: ['42-24=18', '6*18=108']
Exploring Operation: 108-71=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[42, 6, 24, 71], Operations: []
Exploring Operation: 71-24=47, Resulting Numbers: [42, 6, 47]
Generated Node #0,0: 37:[42, 6, 47] Operation: 71-24=47
Exploring Operation: 71-6=65, Resulting Numbers: [42, 24, 65]
Generated Node #0,1: 37:[42, 24, 65] Operation: 71-6=65
Exploring Operation: 71-42=29, Resulting Numbers: [6, 24, 29]
Generated Node #0,2: 37:[6, 24, 29] Operation: 71-42=29
Exploring Operation: 42-6=36, Resulting Numbers: [24, 71, 36]
Generated Node #0,3: 37:[24, 71, 36] Operation: 42-6=36
Exploring Operation: 6+24=30, Resulting Numbers: [42, 71, 30]
Generated Node #0,4: 37:[42, 71, 30] Operation: 6+24=30
Start Sub Search at level 1: Moving to Node #0,0
Current State: 37:[42, 6, 47], Operations: ['71-24=47']
Exploring Operation: 47-6=41, Resulting Numbers: [42, 41]
Generated Node #0,0,0: 37:[42, 41] Operation: 47-6=41
Exploring Operation: 42+6=48, Resulting Numbers: [47, 48]
Generated Node #0,0,1: 37:[47, 48] Operation: 42+6=48
Exploring Operation: 42-6=36, Resulting Numbers: [47, 36]
Generated Node #0,0,2: 37:[47, 36] Operation: 42-6=36
Exploring Operation: 42/6=7, Resulting Numbers: [47, 7]
Generated Node #0,0,3: 37:[47, 7] Operation: 42/6=7
Exploring Operation: 6+47=53, Resulting Numbers: [42, 53]
Generated Node #0,0,4: 37:[42, 53] Operation: 6+47=53
Moving to Node #0,0,0
Current State: 37:[42, 41], Operations: ['71-24=47', '47-6=41']
Exploring Operation: 42-41=1, Resulting Numbers: [1]
1,37 unequal: No Solution
Exploring Operation: 42*41=1722, Resulting Numbers: [1722]
1722,37 unequal: No Solution
Exploring Operation: 42+41=83, Resulting Numbers: [83]
83,37 unequal: No Solution
Moving to Node #0,0,2
Current State: 37:[47, 36], Operations: ['71-24=47', '42-6=36']
Exploring Operation: 47+36=83, Resulting Numbers: [83]
83,37 unequal: No Solution
Exploring Operation: 47*36=1692, Resulting Numbers: [1692]
1692,37 unequal: No Solution
Exploring Operation: 47-36=11, Resulting Numbers: [11]
11,37 unequal: No Solution
Moving to Node #0,0,1
Current State: 37:[47, 48], Operations: ['71-24=47', '42+6=48']
Exploring Operation: 47+48=95, Resulting Numbers: [95]
95,37 unequal: No Solution
Exploring Operation: 47*48=2256, Resulting Numbers: [2256]
2256,37 unequal: No Solution
Exploring Operation: 48-47=1, Resulting Numbers: [1]
1,37 unequal: No Solution
Moving to Node #0,0,4
Current State: 37:[42, 53], Operations: ['71-24=47', '6+47=53']
Exploring Operation: 42*53=2226, Resulting Numbers: [2226]
2226,37 unequal: No Solution
Exploring Operation: 42+53=95, Resulting Numbers: [95]
95,37 unequal: No Solution
Exploring Operation: 53-42=11, Resulting Numbers: [11]
11,37 unequal: No Solution
Moving to Node #0,0,3
Current State: 37:[47, 7], Operations: ['71-24=47', '42/6=7']
Exploring Operation: 47*7=329, Resulting Numbers: [329]
329,37 unequal: No Solution
Exploring Operation: 47+7=54, Resulting Numbers: [54]
54,37 unequal: No Solution
Exploring Operation: 47-7=40, Resulting Numbers: [40]
40,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 37:[42, 24, 65], Operations: ['71-6=65']
Exploring Operation: 65-24=41, Resulting Numbers: [42, 41]
Generated Node #0,1,0: 37:[42, 41] Operation: 65-24=41
Exploring Operation: 42+24=66, Resulting Numbers: [65, 66]
Generated Node #0,1,1: 37:[65, 66] Operation: 42+24=66
Exploring Operation: 42-24=18, Resulting Numbers: [65, 18]
Generated Node #0,1,2: 37:[65, 18] Operation: 42-24=18
Exploring Operation: 24+65=89, Resulting Numbers: [42, 89]
Generated Node #0,1,3: 37:[42, 89] Operation: 24+65=89
Exploring Operation: 65-42=23, Resulting Numbers: [24, 23]
Generated Node #0,1,4: 37:[24, 23] Operation: 65-42=23
Moving to Node #0,1,0
Current State: 37:[42, 41], Operations: ['71-6=65', '65-24=41']
Exploring Operation: 42-41=1, Resulting Numbers: [1]
1,37 unequal: No Solution
Exploring Operation: 42+41=83, Resulting Numbers: [83]
83,37 unequal: No Solution
Exploring Operation: 42*41=1722, Resulting Numbers: [1722]
1722,37 unequal: No Solution
Moving to Node #0,1,4
Current State: 37:[24, 23], Operations: ['71-6=65', '65-42=23']
Exploring Operation: 24-23=1, Resulting Numbers: [1]
1,37 unequal: No Solution
Exploring Operation: 24+23=47, Resulting Numbers: [47]
47,37 unequal: No Solution
Exploring Operation: 24*23=552, Resulting Numbers: [552]
552,37 unequal: No Solution
Moving to Node #0,1,2
Current State: 37:[65, 18], Operations: ['71-6=65', '42-24=18']
Exploring Operation: 65-18=47, Resulting Numbers: [47]
47,37 unequal: No Solution
Exploring Operation: 65*18=1170, Resulting Numbers: [1170]
1170,37 unequal: No Solution
Exploring Operation: 65+18=83, Resulting Numbers: [83]
83,37 unequal: No Solution
Moving to Node #0,1,1
Current State: 37:[65, 66], Operations: ['71-6=65', '42+24=66']
Exploring Operation: 65+66=131, Resulting Numbers: [131]
131,37 unequal: No Solution
Exploring Operation: 65*66=4290, Resulting Numbers: [4290]
4290,37 unequal: No Solution
Exploring Operation: 66-65=1, Resulting Numbers: [1]
1,37 unequal: No Solution
Moving to Node #0,1,3
Current State: 37:[42, 89], Operations: ['71-6=65', '24+65=89']
Exploring Operation: 42+89=131, Resulting Numbers: [131]
131,37 unequal: No Solution
Exploring Operation: 42*89=3738, Resulting Numbers: [3738]
3738,37 unequal: No Solution
Exploring Operation: 89-42=47, Resulting Numbers: [47]
47,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 37:[42, 71, 30], Operations: ['6+24=30']
Exploring Operation: 42-30=12, Resulting Numbers: [71, 12]
Generated Node #0,4,0: 37:[71, 12] Operation: 42-30=12
Exploring Operation: 71+30=101, Resulting Numbers: [42, 101]
Generated Node #0,4,1: 37:[42, 101] Operation: 71+30=101
Exploring Operation: 71-42=29, Resulting Numbers: [30, 29]
Generated Node #0,4,2: 37:[30, 29] Operation: 71-42=29
Exploring Operation: 42+30=72, Resulting Numbers: [71, 72]
Generated Node #0,4,3: 37:[71, 72] Operation: 42+30=72
Exploring Operation: 71-30=41, Resulting Numbers: [42, 41]
Generated Node #0,4,4: 37:[42, 41] Operation: 71-30=41
Moving to Node #0,4,4
Current State: 37:[42, 41], Operations: ['6+24=30', '71-30=41']
Exploring Operation: 42-41=1, Resulting Numbers: [1]
1,37 unequal: No Solution
Exploring Operation: 42+41=83, Resulting Numbers: [83]
83,37 unequal: No Solution
Exploring Operation: 42*41=1722, Resulting Numbers: [1722]
1722,37 unequal: No Solution
Moving to Node #0,4,2
Current State: 37:[30, 29], Operations: ['6+24=30', '71-42=29']
Exploring Operation: 30*29=870, Resulting Numbers: [870]
870,37 unequal: No Solution
Exploring Operation: 30+29=59, Resulting Numbers: [59]
59,37 unequal: No Solution
Exploring Operation: 30-29=1, Resulting Numbers: [1]
1,37 unequal: No Solution
Moving to Node #0,4,0
Current State: 37:[71, 12], Operations: ['6+24=30', '42-30=12']
Exploring Operation: 71*12=852, Resulting Numbers: [852]
852,37 unequal: No Solution
Exploring Operation: 71-12=59, Resulting Numbers: [59]
59,37 unequal: No Solution
Exploring Operation: 71+12=83, Resulting Numbers: [83]
83,37 unequal: No Solution
Moving to Node #0,4,1
Current State: 37:[42, 101], Operations: ['6+24=30', '71+30=101']
Exploring Operation: 42*101=4242, Resulting Numbers: [4242]
4242,37 unequal: No Solution
Exploring Operation: 42+101=143, Resulting Numbers: [143]
143,37 unequal: No Solution
Exploring Operation: 101-42=59, Resulting Numbers: [59]
59,37 unequal: No Solution
Moving to Node #0,4,3
Current State: 37:[71, 72], Operations: ['6+24=30', '42+30=72']
Exploring Operation: 71+72=143, Resulting Numbers: [143]
143,37 unequal: No Solution
Exploring Operation: 71*72=5112, Resulting Numbers: [5112]
5112,37 unequal: No Solution
Exploring Operation: 72-71=1, Resulting Numbers: [1]
1,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 37:[24, 71, 36], Operations: ['42-6=36']
Exploring Operation: 24+36=60, Resulting Numbers: [71, 60]
Generated Node #0,3,0: 37:[71, 60] Operation: 24+36=60
Exploring Operation: 71-36=35, Resulting Numbers: [24, 35]
Generated Node #0,3,1: 37:[24, 35] Operation: 71-36=35
Exploring Operation: 71-24=47, Resulting Numbers: [36, 47]
Generated Node #0,3,2: 37:[36, 47] Operation: 71-24=47
Exploring Operation: 36-24=12, Resulting Numbers: [71, 12]
Generated Node #0,3,3: 37:[71, 12] Operation: 36-24=12
Exploring Operation: 24+71=95, Resulting Numbers: [36, 95]
Generated Node #0,3,4: 37:[36, 95] Operation: 24+71=95
Moving to Node #0,3,2
Current State: 37:[36, 47], Operations: ['42-6=36', '71-24=47']
Exploring Operation: 36*47=1692, Resulting Numbers: [1692]
1692,37 unequal: No Solution
Exploring Operation: 47-36=11, Resulting Numbers: [11]
11,37 unequal: No Solution
Exploring Operation: 36+47=83, Resulting Numbers: [83]
83,37 unequal: No Solution
Moving to Node #0,3,1
Current State: 37:[24, 35], Operations: ['42-6=36', '71-36=35']
Exploring Operation: 35-24=11, Resulting Numbers: [11]
11,37 unequal: No Solution
Exploring Operation: 24*35=840, Resulting Numbers: [840]
840,37 unequal: No Solution
Exploring Operation: 24+35=59, Resulting Numbers: [59]
59,37 unequal: No Solution
Moving to Node #0,3,0
Current State: 37:[71, 60], Operations: ['42-6=36', '24+36=60']
Exploring Operation: 71+60=131, Resulting Numbers: [131]
131,37 unequal: No Solution
Exploring Operation: 71*60=4260, Resulting Numbers: [4260]
4260,37 unequal: No Solution
Exploring Operation: 71-60=11, Resulting Numbers: [11]
11,37 unequal: No Solution
Moving to Node #0,3,3
Current State: 37:[71, 12], Operations: ['42-6=36', '36-24=12']
Exploring Operation: 71*12=852, Resulting Numbers: [852]
852,37 unequal: No Solution
Exploring Operation: 71+12=83, Resulting Numbers: [83]
83,37 unequal: No Solution
Exploring Operation: 71-12=59, Resulting Numbers: [59]
59,37 unequal: No Solution
Moving to Node #0,3,4
Current State: 37:[36, 95], Operations: ['42-6=36', '24+71=95']
Exploring Operation: 95-36=59, Resulting Numbers: [59]
59,37 unequal: No Solution
Exploring Operation: 36*95=3420, Resulting Numbers: [3420]
3420,37 unequal: No Solution
Exploring Operation: 36+95=131, Resulting Numbers: [131]
131,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 37:[6, 24, 29], Operations: ['71-42=29']
Exploring Operation: 24/6=4, Resulting Numbers: [29, 4]
Generated Node #0,2,0: 37:[29, 4] Operation: 24/6=4
Exploring Operation: 24-6=18, Resulting Numbers: [29, 18]
Generated Node #0,2,1: 37:[29, 18] Operation: 24-6=18
Exploring Operation: 6+24=30, Resulting Numbers: [29, 30]
Generated Node #0,2,2: 37:[29, 30] Operation: 6+24=30
Exploring Operation: 6+29=35, Resulting Numbers: [24, 35]
Generated Node #0,2,3: 37:[24, 35] Operation: 6+29=35
Exploring Operation: 29-6=23, Resulting Numbers: [24, 23]
Generated Node #0,2,4: 37:[24, 23] Operation: 29-6=23
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 37:[29, 30], Operations: ['71-42=29', '6+24=30']
Exploring Operation: 30-29=1, Resulting Numbers: [1]
1,37 unequal: No Solution
Exploring Operation: 29+30=59, Resulting Numbers: [59]
59,37 unequal: No Solution
Exploring Operation: 29*30=870, Resulting Numbers: [870]
870,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 37:[24, 35], Operations: ['71-42=29', '6+29=35']
Exploring Operation: 24*35=840, Resulting Numbers: [840]
840,37 unequal: No Solution
Exploring Operation: 24+35=59, Resulting Numbers: [59]
59,37 unequal: No Solution
Exploring Operation: 35-24=11, Resulting Numbers: [11]
11,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 37:[29, 18], Operations: ['71-42=29', '24-6=18']
Exploring Operation: 29-18=11, Resulting Numbers: [11]
11,37 unequal: No Solution
Exploring Operation: 29+18=47, Resulting Numbers: [47]
47,37 unequal: No Solution
Exploring Operation: 29*18=522, Resulting Numbers: [522]
522,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 37:[24, 23], Operations: ['71-42=29', '29-6=23']
Exploring Operation: 24-23=1, Resulting Numbers: [1]
1,37 unequal: No Solution
Exploring Operation: 24*23=552, Resulting Numbers: [552]
552,37 unequal: No Solution
Exploring Operation: 24+23=47, Resulting Numbers: [47]
47,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 37:[29, 4], Operations: ['71-42=29', '24/6=4']
Exploring Operation: 29+4=33, Resulting Numbers: [33]
33,37 unequal: No Solution
Exploring Operation: 29*4=116, Resulting Numbers: [116]
116,37 unequal: No Solution
Exploring Operation: 29-4=25, Resulting Numbers: [25]
25,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
39,
33,
6,
78
] | 25 | [
"39+33=72",
"78+72=150",
"150/6=25"
] | Current State: 25:[39, 33, 6, 78], Operations: []
Exploring Operation: 39+33=72, Resulting Numbers: [6, 78, 72]
Generated Node #2: [6, 78, 72] from Operation: 39+33=72
Current State: 25:[6, 78, 72], Operations: ['39+33=72']
Exploring Operation: 78+72=150, Resulting Numbers: [6, 150]
Generated Node #3: [6, 150] from Operation: 78+72=150
Current State: 25:[6, 150], Operations: ['39+33=72', '78+72=150']
Exploring Operation: 150/6=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[39, 33, 6, 78], Operations: []
Exploring Operation: 78/39=2, Resulting Numbers: [33, 6, 2]
Generated Node #0,0: 25:[33, 6, 2] Operation: 78/39=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 25:[33, 6, 2], Operations: ['78/39=2']
Exploring Operation: 33-6=27, Resulting Numbers: [2, 27]
Generated Node #0,0,0: 25:[2, 27] Operation: 33-6=27
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 25:[2, 27], Operations: ['78/39=2', '33-6=27']
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Moving to Node #0
Current State: 25:[39, 33, 6, 78], Operations: []
Exploring Operation: 78/39=2, Resulting Numbers: [33, 6, 2]
Generated Node #0,0: 25:[33, 6, 2] Operation: 78/39=2
Moving to Node #0,0
Current State: 25:[33, 6, 2], Operations: ['78/39=2']
Exploring Operation: 33-6=27, Resulting Numbers: [2, 27]
Generated Node #0,0,0: 25:[2, 27] Operation: 33-6=27
Moving to Node #0,0,0
Current State: 25:[2, 27], Operations: ['78/39=2', '33-6=27']
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
67,
66,
83,
49
] | 69 | [
"83+49=132",
"132/66=2",
"67+2=69"
] | Current State: 69:[67, 66, 83, 49], Operations: []
Exploring Operation: 83+49=132, Resulting Numbers: [67, 66, 132]
Generated Node #2: [67, 66, 132] from Operation: 83+49=132
Current State: 69:[67, 66, 132], Operations: ['83+49=132']
Exploring Operation: 132/66=2, Resulting Numbers: [67, 2]
Generated Node #3: [67, 2] from Operation: 132/66=2
Current State: 69:[67, 2], Operations: ['83+49=132', '132/66=2']
Exploring Operation: 67+2=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[67, 66, 83, 49], Operations: []
Exploring Operation: 66-49=17, Resulting Numbers: [67, 83, 17]
Generated Node #0,0: 69:[67, 83, 17] Operation: 66-49=17
Exploring Operation: 83-49=34, Resulting Numbers: [67, 66, 34]
Generated Node #0,1: 69:[67, 66, 34] Operation: 83-49=34
Exploring Operation: 67-49=18, Resulting Numbers: [66, 83, 18]
Generated Node #0,2: 69:[66, 83, 18] Operation: 67-49=18
Moving to Node #0,1
Current State: 69:[67, 66, 34], Operations: ['83-49=34']
Exploring Operation: 67-34=33, Resulting Numbers: [66, 33]
Generated Node #0,1,0: 69:[66, 33] Operation: 67-34=33
Exploring Operation: 66-34=32, Resulting Numbers: [67, 32]
Generated Node #0,1,1: 69:[67, 32] Operation: 66-34=32
Exploring Operation: 67-66=1, Resulting Numbers: [34, 1]
Generated Node #0,1,2: 69:[34, 1] Operation: 67-66=1
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 69:[67, 32], Operations: ['83-49=34', '66-34=32']
Exploring Operation: 67+32=99, Resulting Numbers: [99]
99,69 unequal: No Solution
Exploring Operation: 67-32=35, Resulting Numbers: [35]
35,69 unequal: No Solution
Exploring Operation: 67*32=2144, Resulting Numbers: [2144]
2144,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 69:[66, 33], Operations: ['83-49=34', '67-34=33']
Exploring Operation: 66+33=99, Resulting Numbers: [99]
99,69 unequal: No Solution
Exploring Operation: 66-33=33, Resulting Numbers: [33]
33,69 unequal: No Solution
Exploring Operation: 66/33=2, Resulting Numbers: [2]
2,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 69:[34, 1], Operations: ['83-49=34', '67-66=1']
Exploring Operation: 34/1=34, Resulting Numbers: [34]
34,69 unequal: No Solution
Exploring Operation: 34-1=33, Resulting Numbers: [33]
33,69 unequal: No Solution
Exploring Operation: 34*1=34, Resulting Numbers: [34]
34,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 69:[67, 83, 17], Operations: ['66-49=17']
Exploring Operation: 67+17=84, Resulting Numbers: [83, 84]
Generated Node #0,0,0: 69:[83, 84] Operation: 67+17=84
Exploring Operation: 83-17=66, Resulting Numbers: [67, 66]
Generated Node #0,0,1: 69:[67, 66] Operation: 83-17=66
Exploring Operation: 83-67=16, Resulting Numbers: [17, 16]
Generated Node #0,0,2: 69:[17, 16] Operation: 83-67=16
Moving to Node #0,2
Current State: 69:[66, 83, 18], Operations: ['67-49=18']
Exploring Operation: 83-18=65, Resulting Numbers: [66, 65]
Generated Node #0,2,0: 69:[66, 65] Operation: 83-18=65
Exploring Operation: 66+18=84, Resulting Numbers: [83, 84]
Generated Node #0,2,1: 69:[83, 84] Operation: 66+18=84
Exploring Operation: 83-66=17, Resulting Numbers: [18, 17]
Generated Node #0,2,2: 69:[18, 17] Operation: 83-66=17
Moving to Node #0,0,1
Current State: 69:[67, 66], Operations: ['66-49=17', '83-17=66']
Exploring Operation: 67-66=1, Resulting Numbers: [1]
1,69 unequal: No Solution
Exploring Operation: 67+66=133, Resulting Numbers: [133]
133,69 unequal: No Solution
Exploring Operation: 67*66=4422, Resulting Numbers: [4422]
4422,69 unequal: No Solution
Moving to Node #0,2,0
Current State: 69:[66, 65], Operations: ['67-49=18', '83-18=65']
Exploring Operation: 66*65=4290, Resulting Numbers: [4290]
4290,69 unequal: No Solution
Exploring Operation: 66+65=131, Resulting Numbers: [131]
131,69 unequal: No Solution
Exploring Operation: 66-65=1, Resulting Numbers: [1]
1,69 unequal: No Solution
Moving to Node #0,2,2
Current State: 69:[18, 17], Operations: ['67-49=18', '83-66=17']
Exploring Operation: 18*17=306, Resulting Numbers: [306]
306,69 unequal: No Solution
Exploring Operation: 18+17=35, Resulting Numbers: [35]
35,69 unequal: No Solution
Exploring Operation: 18-17=1, Resulting Numbers: [1]
1,69 unequal: No Solution
Moving to Node #0,0,2
Current State: 69:[17, 16], Operations: ['66-49=17', '83-67=16']
Exploring Operation: 17*16=272, Resulting Numbers: [272]
272,69 unequal: No Solution
Exploring Operation: 17-16=1, Resulting Numbers: [1]
1,69 unequal: No Solution
Exploring Operation: 17+16=33, Resulting Numbers: [33]
33,69 unequal: No Solution
Moving to Node #0,2,1
Current State: 69:[83, 84], Operations: ['67-49=18', '66+18=84']
Exploring Operation: 84-83=1, Resulting Numbers: [1]
1,69 unequal: No Solution
Exploring Operation: 83*84=6972, Resulting Numbers: [6972]
6972,69 unequal: No Solution
Exploring Operation: 83+84=167, Resulting Numbers: [167]
167,69 unequal: No Solution
Moving to Node #0,0,0
Current State: 69:[83, 84], Operations: ['66-49=17', '67+17=84']
Exploring Operation: 84-83=1, Resulting Numbers: [1]
1,69 unequal: No Solution
Exploring Operation: 83+84=167, Resulting Numbers: [167]
167,69 unequal: No Solution
Exploring Operation: 83*84=6972, Resulting Numbers: [6972]
6972,69 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
75,
27,
76,
28
] | 96 | [
"75-27=48",
"76-28=48",
"48+48=96"
] | Current State: 96:[75, 27, 76, 28], Operations: []
Exploring Operation: 75-27=48, Resulting Numbers: [76, 28, 48]
Generated Node #2: [76, 28, 48] from Operation: 75-27=48
Current State: 96:[76, 28, 48], Operations: ['75-27=48']
Exploring Operation: 76-28=48, Resulting Numbers: [48, 48]
Generated Node #3: [48, 48] from Operation: 76-28=48
Current State: 96:[48, 48], Operations: ['75-27=48', '76-28=48']
Exploring Operation: 48+48=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[75, 27, 76, 28], Operations: []
Exploring Operation: 76-75=1, Resulting Numbers: [27, 28, 1]
Generated Node #0,0: 96:[27, 28, 1] Operation: 76-75=1
Exploring Operation: 75-27=48, Resulting Numbers: [76, 28, 48]
Generated Node #0,1: 96:[76, 28, 48] Operation: 75-27=48
Moving to Node #0,0
Current State: 96:[27, 28, 1], Operations: ['76-75=1']
Exploring Operation: 28-27=1, Resulting Numbers: [1, 1]
Generated Node #0,0,0: 96:[1, 1] Operation: 28-27=1
Exploring Operation: 27-1=26, Resulting Numbers: [28, 26]
Generated Node #0,0,1: 96:[28, 26] Operation: 27-1=26
Moving to Node #0,1
Current State: 96:[76, 28, 48], Operations: ['75-27=48']
Exploring Operation: 76+28=104, Resulting Numbers: [48, 104]
Generated Node #0,1,0: 96:[48, 104] Operation: 76+28=104
Exploring Operation: 76-28=48, Resulting Numbers: [48, 48]
Generated Node #0,1,1: 96:[48, 48] Operation: 76-28=48
Moving to Node #0,1,1
Current State: 96:[48, 48], Operations: ['75-27=48', '76-28=48']
Exploring Operation: 48/48=1, Resulting Numbers: [1]
1,96 unequal: No Solution
Exploring Operation: 48+48=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Moving to Node #0
Current State: 96:[75, 27, 76, 28], Operations: []
Exploring Operation: 75-27=48, Resulting Numbers: [76, 28, 48]
Generated Node #0,1: 96:[76, 28, 48] Operation: 75-27=48
Moving to Node #0,1
Current State: 96:[76, 28, 48], Operations: ['75-27=48']
Exploring Operation: 76-28=48, Resulting Numbers: [48, 48]
Generated Node #0,1,1: 96:[48, 48] Operation: 76-28=48
Moving to Node #0,1,1
Current State: 96:[48, 48], Operations: ['75-27=48', '76-28=48']
Exploring Operation: 48+48=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 0.989583 | hs_2 | mult_heuristic |
[
40,
52,
49,
6
] | 58 | [
"52-49=3",
"6*3=18",
"40+18=58"
] | Current State: 58:[40, 52, 49, 6], Operations: []
Exploring Operation: 52-49=3, Resulting Numbers: [40, 6, 3]
Generated Node #2: [40, 6, 3] from Operation: 52-49=3
Current State: 58:[40, 6, 3], Operations: ['52-49=3']
Exploring Operation: 6*3=18, Resulting Numbers: [40, 18]
Generated Node #3: [40, 18] from Operation: 6*3=18
Current State: 58:[40, 18], Operations: ['52-49=3', '6*3=18']
Exploring Operation: 40+18=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[40, 52, 49, 6], Operations: []
Exploring Operation: 52+6=58, Resulting Numbers: [40, 49, 58]
Generated Node #0,0: 58:[40, 49, 58] Operation: 52+6=58
Exploring Operation: 49+6=55, Resulting Numbers: [40, 52, 55]
Generated Node #0,1: 58:[40, 52, 55] Operation: 49+6=55
Exploring Operation: 49-40=9, Resulting Numbers: [52, 6, 9]
Generated Node #0,2: 58:[52, 6, 9] Operation: 49-40=9
Exploring Operation: 40-6=34, Resulting Numbers: [52, 49, 34]
Generated Node #0,3: 58:[52, 49, 34] Operation: 40-6=34
Exploring Operation: 52-49=3, Resulting Numbers: [40, 6, 3]
Generated Node #0,4: 58:[40, 6, 3] Operation: 52-49=3
Start Sub Search at level 1: Moving to Node #0,4
Current State: 58:[40, 6, 3], Operations: ['52-49=3']
Exploring Operation: 6/3=2, Resulting Numbers: [40, 2]
Generated Node #0,4,0: 58:[40, 2] Operation: 6/3=2
Exploring Operation: 40+6=46, Resulting Numbers: [3, 46]
Generated Node #0,4,1: 58:[3, 46] Operation: 40+6=46
Exploring Operation: 40-3=37, Resulting Numbers: [6, 37]
Generated Node #0,4,2: 58:[6, 37] Operation: 40-3=37
Exploring Operation: 40-6=34, Resulting Numbers: [3, 34]
Generated Node #0,4,3: 58:[3, 34] Operation: 40-6=34
Exploring Operation: 6-3=3, Resulting Numbers: [40, 3]
Generated Node #0,4,4: 58:[40, 3] Operation: 6-3=3
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 58:[3, 34], Operations: ['52-49=3', '40-6=34']
Exploring Operation: 3+34=37, Resulting Numbers: [37]
37,58 unequal: No Solution
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,58 unequal: No Solution
Exploring Operation: 3*34=102, Resulting Numbers: [102]
102,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 58:[40, 2], Operations: ['52-49=3', '6/3=2']
Exploring Operation: 40-2=38, Resulting Numbers: [38]
38,58 unequal: No Solution
Exploring Operation: 40+2=42, Resulting Numbers: [42]
42,58 unequal: No Solution
Exploring Operation: 40*2=80, Resulting Numbers: [80]
80,58 unequal: No Solution
Exploring Operation: 40/2=20, Resulting Numbers: [20]
20,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 58:[6, 37], Operations: ['52-49=3', '40-3=37']
Exploring Operation: 6+37=43, Resulting Numbers: [43]
43,58 unequal: No Solution
Exploring Operation: 6*37=222, Resulting Numbers: [222]
222,58 unequal: No Solution
Exploring Operation: 37-6=31, Resulting Numbers: [31]
31,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 58:[40, 3], Operations: ['52-49=3', '6-3=3']
Exploring Operation: 40*3=120, Resulting Numbers: [120]
120,58 unequal: No Solution
Exploring Operation: 40+3=43, Resulting Numbers: [43]
43,58 unequal: No Solution
Exploring Operation: 40-3=37, Resulting Numbers: [37]
37,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 58:[3, 46], Operations: ['52-49=3', '40+6=46']
Exploring Operation: 3*46=138, Resulting Numbers: [138]
138,58 unequal: No Solution
Exploring Operation: 46-3=43, Resulting Numbers: [43]
43,58 unequal: No Solution
Exploring Operation: 3+46=49, Resulting Numbers: [49]
49,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 58:[52, 6, 9], Operations: ['49-40=9']
Exploring Operation: 52+9=61, Resulting Numbers: [6, 61]
Generated Node #0,2,0: 58:[6, 61] Operation: 52+9=61
Exploring Operation: 6*9=54, Resulting Numbers: [52, 54]
Generated Node #0,2,1: 58:[52, 54] Operation: 6*9=54
Exploring Operation: 52+6=58, Resulting Numbers: [9, 58]
Generated Node #0,2,2: 58:[9, 58] Operation: 52+6=58
Exploring Operation: 9-6=3, Resulting Numbers: [52, 3]
Generated Node #0,2,3: 58:[52, 3] Operation: 9-6=3
Exploring Operation: 52-9=43, Resulting Numbers: [6, 43]
Generated Node #0,2,4: 58:[6, 43] Operation: 52-9=43
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 58:[6, 61], Operations: ['49-40=9', '52+9=61']
Exploring Operation: 61-6=55, Resulting Numbers: [55]
55,58 unequal: No Solution
Exploring Operation: 6*61=366, Resulting Numbers: [366]
366,58 unequal: No Solution
Exploring Operation: 6+61=67, Resulting Numbers: [67]
67,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 58:[9, 58], Operations: ['49-40=9', '52+6=58']
Exploring Operation: 58-9=49, Resulting Numbers: [49]
49,58 unequal: No Solution
Exploring Operation: 9*58=522, Resulting Numbers: [522]
522,58 unequal: No Solution
Exploring Operation: 9+58=67, Resulting Numbers: [67]
67,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 58:[52, 3], Operations: ['49-40=9', '9-6=3']
Exploring Operation: 52*3=156, Resulting Numbers: [156]
156,58 unequal: No Solution
Exploring Operation: 52-3=49, Resulting Numbers: [49]
49,58 unequal: No Solution
Exploring Operation: 52+3=55, Resulting Numbers: [55]
55,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 58:[52, 54], Operations: ['49-40=9', '6*9=54']
Exploring Operation: 52*54=2808, Resulting Numbers: [2808]
2808,58 unequal: No Solution
Exploring Operation: 54-52=2, Resulting Numbers: [2]
2,58 unequal: No Solution
Exploring Operation: 52+54=106, Resulting Numbers: [106]
106,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 58:[6, 43], Operations: ['49-40=9', '52-9=43']
Exploring Operation: 6*43=258, Resulting Numbers: [258]
258,58 unequal: No Solution
Exploring Operation: 6+43=49, Resulting Numbers: [49]
49,58 unequal: No Solution
Exploring Operation: 43-6=37, Resulting Numbers: [37]
37,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 58:[40, 49, 58], Operations: ['52+6=58']
Exploring Operation: 58-49=9, Resulting Numbers: [40, 9]
Generated Node #0,0,0: 58:[40, 9] Operation: 58-49=9
Exploring Operation: 40+49=89, Resulting Numbers: [58, 89]
Generated Node #0,0,1: 58:[58, 89] Operation: 40+49=89
Exploring Operation: 49-40=9, Resulting Numbers: [58, 9]
Generated Node #0,0,2: 58:[58, 9] Operation: 49-40=9
Exploring Operation: 58-40=18, Resulting Numbers: [49, 18]
Generated Node #0,0,3: 58:[49, 18] Operation: 58-40=18
Exploring Operation: 40+58=98, Resulting Numbers: [49, 98]
Generated Node #0,0,4: 58:[49, 98] Operation: 40+58=98
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 58:[58, 9], Operations: ['52+6=58', '49-40=9']
Exploring Operation: 58+9=67, Resulting Numbers: [67]
67,58 unequal: No Solution
Exploring Operation: 58-9=49, Resulting Numbers: [49]
49,58 unequal: No Solution
Exploring Operation: 58*9=522, Resulting Numbers: [522]
522,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 58:[40, 9], Operations: ['52+6=58', '58-49=9']
Exploring Operation: 40-9=31, Resulting Numbers: [31]
31,58 unequal: No Solution
Exploring Operation: 40*9=360, Resulting Numbers: [360]
360,58 unequal: No Solution
Exploring Operation: 40+9=49, Resulting Numbers: [49]
49,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 58:[49, 18], Operations: ['52+6=58', '58-40=18']
Exploring Operation: 49*18=882, Resulting Numbers: [882]
882,58 unequal: No Solution
Exploring Operation: 49+18=67, Resulting Numbers: [67]
67,58 unequal: No Solution
Exploring Operation: 49-18=31, Resulting Numbers: [31]
31,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 58:[58, 89], Operations: ['52+6=58', '40+49=89']
Exploring Operation: 58+89=147, Resulting Numbers: [147]
147,58 unequal: No Solution
Exploring Operation: 58*89=5162, Resulting Numbers: [5162]
5162,58 unequal: No Solution
Exploring Operation: 89-58=31, Resulting Numbers: [31]
31,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 58:[49, 98], Operations: ['52+6=58', '40+58=98']
Exploring Operation: 98-49=49, Resulting Numbers: [49]
49,58 unequal: No Solution
Exploring Operation: 49*98=4802, Resulting Numbers: [4802]
4802,58 unequal: No Solution
Exploring Operation: 49+98=147, Resulting Numbers: [147]
147,58 unequal: No Solution
Exploring Operation: 98/49=2, Resulting Numbers: [2]
2,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 58:[40, 52, 55], Operations: ['49+6=55']
Exploring Operation: 55-40=15, Resulting Numbers: [52, 15]
Generated Node #0,1,0: 58:[52, 15] Operation: 55-40=15
Exploring Operation: 55-52=3, Resulting Numbers: [40, 3]
Generated Node #0,1,1: 58:[40, 3] Operation: 55-52=3
Exploring Operation: 40+55=95, Resulting Numbers: [52, 95]
Generated Node #0,1,2: 58:[52, 95] Operation: 40+55=95
Exploring Operation: 52-40=12, Resulting Numbers: [55, 12]
Generated Node #0,1,3: 58:[55, 12] Operation: 52-40=12
Exploring Operation: 40+52=92, Resulting Numbers: [55, 92]
Generated Node #0,1,4: 58:[55, 92] Operation: 40+52=92
Moving to Node #0,1,1
Current State: 58:[40, 3], Operations: ['49+6=55', '55-52=3']
Exploring Operation: 40-3=37, Resulting Numbers: [37]
37,58 unequal: No Solution
Exploring Operation: 40+3=43, Resulting Numbers: [43]
43,58 unequal: No Solution
Exploring Operation: 40*3=120, Resulting Numbers: [120]
120,58 unequal: No Solution
Moving to Node #0,1,3
Current State: 58:[55, 12], Operations: ['49+6=55', '52-40=12']
Exploring Operation: 55+12=67, Resulting Numbers: [67]
67,58 unequal: No Solution
Exploring Operation: 55-12=43, Resulting Numbers: [43]
43,58 unequal: No Solution
Exploring Operation: 55*12=660, Resulting Numbers: [660]
660,58 unequal: No Solution
Moving to Node #0,1,0
Current State: 58:[52, 15], Operations: ['49+6=55', '55-40=15']
Exploring Operation: 52-15=37, Resulting Numbers: [37]
37,58 unequal: No Solution
Exploring Operation: 52*15=780, Resulting Numbers: [780]
780,58 unequal: No Solution
Exploring Operation: 52+15=67, Resulting Numbers: [67]
67,58 unequal: No Solution
Moving to Node #0,1,4
Current State: 58:[55, 92], Operations: ['49+6=55', '40+52=92']
Exploring Operation: 55+92=147, Resulting Numbers: [147]
147,58 unequal: No Solution
Exploring Operation: 55*92=5060, Resulting Numbers: [5060]
5060,58 unequal: No Solution
Exploring Operation: 92-55=37, Resulting Numbers: [37]
37,58 unequal: No Solution
Moving to Node #0,1,2
Current State: 58:[52, 95], Operations: ['49+6=55', '40+55=95']
Exploring Operation: 52+95=147, Resulting Numbers: [147]
147,58 unequal: No Solution
Exploring Operation: 95-52=43, Resulting Numbers: [43]
43,58 unequal: No Solution
Exploring Operation: 52*95=4940, Resulting Numbers: [4940]
4940,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 58:[52, 49, 34], Operations: ['40-6=34']
Exploring Operation: 52+34=86, Resulting Numbers: [49, 86]
Generated Node #0,3,0: 58:[49, 86] Operation: 52+34=86
Exploring Operation: 49+34=83, Resulting Numbers: [52, 83]
Generated Node #0,3,1: 58:[52, 83] Operation: 49+34=83
Exploring Operation: 52-49=3, Resulting Numbers: [34, 3]
Generated Node #0,3,2: 58:[34, 3] Operation: 52-49=3
Exploring Operation: 49-34=15, Resulting Numbers: [52, 15]
Generated Node #0,3,3: 58:[52, 15] Operation: 49-34=15
Exploring Operation: 52-34=18, Resulting Numbers: [49, 18]
Generated Node #0,3,4: 58:[49, 18] Operation: 52-34=18
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 58:[34, 3], Operations: ['40-6=34', '52-49=3']
Exploring Operation: 34+3=37, Resulting Numbers: [37]
37,58 unequal: No Solution
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,58 unequal: No Solution
Exploring Operation: 34*3=102, Resulting Numbers: [102]
102,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 58:[52, 15], Operations: ['40-6=34', '49-34=15']
Exploring Operation: 52+15=67, Resulting Numbers: [67]
67,58 unequal: No Solution
Exploring Operation: 52*15=780, Resulting Numbers: [780]
780,58 unequal: No Solution
Exploring Operation: 52-15=37, Resulting Numbers: [37]
37,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 58:[49, 18], Operations: ['40-6=34', '52-34=18']
Exploring Operation: 49-18=31, Resulting Numbers: [31]
31,58 unequal: No Solution
Exploring Operation: 49*18=882, Resulting Numbers: [882]
882,58 unequal: No Solution
Exploring Operation: 49+18=67, Resulting Numbers: [67]
67,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 58:[52, 83], Operations: ['40-6=34', '49+34=83']
Exploring Operation: 83-52=31, Resulting Numbers: [31]
31,58 unequal: No Solution
Exploring Operation: 52+83=135, Resulting Numbers: [135]
135,58 unequal: No Solution
Exploring Operation: 52*83=4316, Resulting Numbers: [4316]
4316,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 58:[49, 86], Operations: ['40-6=34', '52+34=86']
Exploring Operation: 86-49=37, Resulting Numbers: [37]
37,58 unequal: No Solution
Exploring Operation: 49*86=4214, Resulting Numbers: [4214]
4214,58 unequal: No Solution
Exploring Operation: 49+86=135, Resulting Numbers: [135]
135,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
69,
33,
87,
35
] | 16 | [
"69-33=36",
"87-35=52",
"52-36=16"
] | Current State: 16:[69, 33, 87, 35], Operations: []
Exploring Operation: 69-33=36, Resulting Numbers: [87, 35, 36]
Generated Node #2: [87, 35, 36] from Operation: 69-33=36
Current State: 16:[87, 35, 36], Operations: ['69-33=36']
Exploring Operation: 87-35=52, Resulting Numbers: [36, 52]
Generated Node #3: [36, 52] from Operation: 87-35=52
Current State: 16:[36, 52], Operations: ['69-33=36', '87-35=52']
Exploring Operation: 52-36=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[69, 33, 87, 35], Operations: []
Exploring Operation: 87-69=18, Resulting Numbers: [33, 35, 18]
Generated Node #0,0: 16:[33, 35, 18] Operation: 87-69=18
Exploring Operation: 87-35=52, Resulting Numbers: [69, 33, 52]
Generated Node #0,1: 16:[69, 33, 52] Operation: 87-35=52
Exploring Operation: 69-35=34, Resulting Numbers: [33, 87, 34]
Generated Node #0,2: 16:[33, 87, 34] Operation: 69-35=34
Start Sub Search at level 1: Moving to Node #0,0
Current State: 16:[33, 35, 18], Operations: ['87-69=18']
Exploring Operation: 33-18=15, Resulting Numbers: [35, 15]
Generated Node #0,0,0: 16:[35, 15] Operation: 33-18=15
Exploring Operation: 35-18=17, Resulting Numbers: [33, 17]
Generated Node #0,0,1: 16:[33, 17] Operation: 35-18=17
Exploring Operation: 35-33=2, Resulting Numbers: [18, 2]
Generated Node #0,0,2: 16:[18, 2] Operation: 35-33=2
Moving to Node #0,0,2
Current State: 16:[18, 2], Operations: ['87-69=18', '35-33=2']
Exploring Operation: 18/2=9, Resulting Numbers: [9]
9,16 unequal: No Solution
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[69, 33, 87, 35], Operations: []
Exploring Operation: 87-69=18, Resulting Numbers: [33, 35, 18]
Generated Node #0,0: 16:[33, 35, 18] Operation: 87-69=18
Moving to Node #0,0
Current State: 16:[33, 35, 18], Operations: ['87-69=18']
Exploring Operation: 35-33=2, Resulting Numbers: [18, 2]
Generated Node #0,0,2: 16:[18, 2] Operation: 35-33=2
Moving to Node #0,0,2
Current State: 16:[18, 2], Operations: ['87-69=18', '35-33=2']
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | sum_heuristic |
[
58,
78,
64,
71
] | 29 | [
"58*71=4118",
"78+64=142",
"4118/142=29"
] | Current State: 29:[58, 78, 64, 71], Operations: []
Exploring Operation: 58*71=4118, Resulting Numbers: [78, 64, 4118]
Generated Node #2: [78, 64, 4118] from Operation: 58*71=4118
Current State: 29:[78, 64, 4118], Operations: ['58*71=4118']
Exploring Operation: 78+64=142, Resulting Numbers: [4118, 142]
Generated Node #3: [4118, 142] from Operation: 78+64=142
Current State: 29:[4118, 142], Operations: ['58*71=4118', '78+64=142']
Exploring Operation: 4118/142=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[58, 78, 64, 71], Operations: []
Exploring Operation: 78-71=7, Resulting Numbers: [58, 64, 7]
Generated Node #0,0: 29:[58, 64, 7] Operation: 78-71=7
Exploring Operation: 71-58=13, Resulting Numbers: [78, 64, 13]
Generated Node #0,1: 29:[78, 64, 13] Operation: 71-58=13
Exploring Operation: 78-64=14, Resulting Numbers: [58, 71, 14]
Generated Node #0,2: 29:[58, 71, 14] Operation: 78-64=14
Exploring Operation: 78-58=20, Resulting Numbers: [64, 71, 20]
Generated Node #0,3: 29:[64, 71, 20] Operation: 78-58=20
Start Sub Search at level 1: Moving to Node #0,0
Current State: 29:[58, 64, 7], Operations: ['78-71=7']
Exploring Operation: 64-58=6, Resulting Numbers: [7, 6]
Generated Node #0,0,0: 29:[7, 6] Operation: 64-58=6
Exploring Operation: 58+7=65, Resulting Numbers: [64, 65]
Generated Node #0,0,1: 29:[64, 65] Operation: 58+7=65
Exploring Operation: 64-7=57, Resulting Numbers: [58, 57]
Generated Node #0,0,2: 29:[58, 57] Operation: 64-7=57
Exploring Operation: 58-7=51, Resulting Numbers: [64, 51]
Generated Node #0,0,3: 29:[64, 51] Operation: 58-7=51
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 29:[7, 6], Operations: ['78-71=7', '64-58=6']
Exploring Operation: 7-6=1, Resulting Numbers: [1]
1,29 unequal: No Solution
Exploring Operation: 7+6=13, Resulting Numbers: [13]
13,29 unequal: No Solution
Exploring Operation: 7*6=42, Resulting Numbers: [42]
42,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 29:[58, 57], Operations: ['78-71=7', '64-7=57']
Exploring Operation: 58-57=1, Resulting Numbers: [1]
1,29 unequal: No Solution
Exploring Operation: 58*57=3306, Resulting Numbers: [3306]
3306,29 unequal: No Solution
Exploring Operation: 58+57=115, Resulting Numbers: [115]
115,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 29:[64, 51], Operations: ['78-71=7', '58-7=51']
Exploring Operation: 64*51=3264, Resulting Numbers: [3264]
3264,29 unequal: No Solution
Exploring Operation: 64-51=13, Resulting Numbers: [13]
13,29 unequal: No Solution
Exploring Operation: 64+51=115, Resulting Numbers: [115]
115,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 29:[64, 65], Operations: ['78-71=7', '58+7=65']
Exploring Operation: 64*65=4160, Resulting Numbers: [4160]
4160,29 unequal: No Solution
Exploring Operation: 64+65=129, Resulting Numbers: [129]
129,29 unequal: No Solution
Exploring Operation: 65-64=1, Resulting Numbers: [1]
1,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 29:[58, 71, 14], Operations: ['78-64=14']
Exploring Operation: 58-14=44, Resulting Numbers: [71, 44]
Generated Node #0,2,0: 29:[71, 44] Operation: 58-14=44
Exploring Operation: 71-14=57, Resulting Numbers: [58, 57]
Generated Node #0,2,1: 29:[58, 57] Operation: 71-14=57
Exploring Operation: 58+14=72, Resulting Numbers: [71, 72]
Generated Node #0,2,2: 29:[71, 72] Operation: 58+14=72
Exploring Operation: 71-58=13, Resulting Numbers: [14, 13]
Generated Node #0,2,3: 29:[14, 13] Operation: 71-58=13
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 29:[14, 13], Operations: ['78-64=14', '71-58=13']
Exploring Operation: 14-13=1, Resulting Numbers: [1]
1,29 unequal: No Solution
Exploring Operation: 14*13=182, Resulting Numbers: [182]
182,29 unequal: No Solution
Exploring Operation: 14+13=27, Resulting Numbers: [27]
27,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 29:[71, 44], Operations: ['78-64=14', '58-14=44']
Exploring Operation: 71+44=115, Resulting Numbers: [115]
115,29 unequal: No Solution
Exploring Operation: 71*44=3124, Resulting Numbers: [3124]
3124,29 unequal: No Solution
Exploring Operation: 71-44=27, Resulting Numbers: [27]
27,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 29:[58, 57], Operations: ['78-64=14', '71-14=57']
Exploring Operation: 58+57=115, Resulting Numbers: [115]
115,29 unequal: No Solution
Exploring Operation: 58-57=1, Resulting Numbers: [1]
1,29 unequal: No Solution
Exploring Operation: 58*57=3306, Resulting Numbers: [3306]
3306,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 29:[71, 72], Operations: ['78-64=14', '58+14=72']
Exploring Operation: 71*72=5112, Resulting Numbers: [5112]
5112,29 unequal: No Solution
Exploring Operation: 72-71=1, Resulting Numbers: [1]
1,29 unequal: No Solution
Exploring Operation: 71+72=143, Resulting Numbers: [143]
143,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 29:[64, 71, 20], Operations: ['78-58=20']
Exploring Operation: 64-20=44, Resulting Numbers: [71, 44]
Generated Node #0,3,0: 29:[71, 44] Operation: 64-20=44
Exploring Operation: 71-64=7, Resulting Numbers: [20, 7]
Generated Node #0,3,1: 29:[20, 7] Operation: 71-64=7
Exploring Operation: 71-20=51, Resulting Numbers: [64, 51]
Generated Node #0,3,2: 29:[64, 51] Operation: 71-20=51
Exploring Operation: 64+20=84, Resulting Numbers: [71, 84]
Generated Node #0,3,3: 29:[71, 84] Operation: 64+20=84
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 29:[20, 7], Operations: ['78-58=20', '71-64=7']
Exploring Operation: 20-7=13, Resulting Numbers: [13]
13,29 unequal: No Solution
Exploring Operation: 20+7=27, Resulting Numbers: [27]
27,29 unequal: No Solution
Exploring Operation: 20*7=140, Resulting Numbers: [140]
140,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 29:[71, 44], Operations: ['78-58=20', '64-20=44']
Exploring Operation: 71+44=115, Resulting Numbers: [115]
115,29 unequal: No Solution
Exploring Operation: 71-44=27, Resulting Numbers: [27]
27,29 unequal: No Solution
Exploring Operation: 71*44=3124, Resulting Numbers: [3124]
3124,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 29:[64, 51], Operations: ['78-58=20', '71-20=51']
Exploring Operation: 64*51=3264, Resulting Numbers: [3264]
3264,29 unequal: No Solution
Exploring Operation: 64+51=115, Resulting Numbers: [115]
115,29 unequal: No Solution
Exploring Operation: 64-51=13, Resulting Numbers: [13]
13,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 29:[71, 84], Operations: ['78-58=20', '64+20=84']
Exploring Operation: 71*84=5964, Resulting Numbers: [5964]
5964,29 unequal: No Solution
Exploring Operation: 71+84=155, Resulting Numbers: [155]
155,29 unequal: No Solution
Exploring Operation: 84-71=13, Resulting Numbers: [13]
13,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 29:[78, 64, 13], Operations: ['71-58=13']
Exploring Operation: 78-64=14, Resulting Numbers: [13, 14]
Generated Node #0,1,0: 29:[13, 14] Operation: 78-64=14
Exploring Operation: 78-13=65, Resulting Numbers: [64, 65]
Generated Node #0,1,1: 29:[64, 65] Operation: 78-13=65
Exploring Operation: 78/13=6, Resulting Numbers: [64, 6]
Generated Node #0,1,2: 29:[64, 6] Operation: 78/13=6
Exploring Operation: 64-13=51, Resulting Numbers: [78, 51]
Generated Node #0,1,3: 29:[78, 51] Operation: 64-13=51
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 29:[13, 14], Operations: ['71-58=13', '78-64=14']
Exploring Operation: 13+14=27, Resulting Numbers: [27]
27,29 unequal: No Solution
Exploring Operation: 13*14=182, Resulting Numbers: [182]
182,29 unequal: No Solution
Exploring Operation: 14-13=1, Resulting Numbers: [1]
1,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 29:[64, 6], Operations: ['71-58=13', '78/13=6']
Exploring Operation: 64+6=70, Resulting Numbers: [70]
70,29 unequal: No Solution
Exploring Operation: 64*6=384, Resulting Numbers: [384]
384,29 unequal: No Solution
Exploring Operation: 64-6=58, Resulting Numbers: [58]
58,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 29:[64, 65], Operations: ['71-58=13', '78-13=65']
Exploring Operation: 64*65=4160, Resulting Numbers: [4160]
4160,29 unequal: No Solution
Exploring Operation: 65-64=1, Resulting Numbers: [1]
1,29 unequal: No Solution
Exploring Operation: 64+65=129, Resulting Numbers: [129]
129,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 29:[78, 51], Operations: ['71-58=13', '64-13=51']
Exploring Operation: 78*51=3978, Resulting Numbers: [3978]
3978,29 unequal: No Solution
Exploring Operation: 78+51=129, Resulting Numbers: [129]
129,29 unequal: No Solution
Exploring Operation: 78-51=27, Resulting Numbers: [27]
27,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
5,
89,
78,
77
] | 22 | [
"89-78=11",
"5*11=55",
"77-55=22"
] | Current State: 22:[5, 89, 78, 77], Operations: []
Exploring Operation: 89-78=11, Resulting Numbers: [5, 77, 11]
Generated Node #2: [5, 77, 11] from Operation: 89-78=11
Current State: 22:[5, 77, 11], Operations: ['89-78=11']
Exploring Operation: 5*11=55, Resulting Numbers: [77, 55]
Generated Node #3: [77, 55] from Operation: 5*11=55
Current State: 22:[77, 55], Operations: ['89-78=11', '5*11=55']
Exploring Operation: 77-55=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[5, 89, 78, 77], Operations: []
Exploring Operation: 89-78=11, Resulting Numbers: [5, 77, 11]
Generated Node #0,0: 22:[5, 77, 11] Operation: 89-78=11
Moving to Node #0,0
Current State: 22:[5, 77, 11], Operations: ['89-78=11']
Exploring Operation: 77/11=7, Resulting Numbers: [5, 7]
Generated Node #0,0,0: 22:[5, 7] Operation: 77/11=7
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 22:[5, 7], Operations: ['89-78=11', '77/11=7']
Exploring Operation: 7-5=2, Resulting Numbers: [2]
2,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
90,
11,
10,
56
] | 55 | [
"90+11=101",
"56-10=46",
"101-46=55"
] | Current State: 55:[90, 11, 10, 56], Operations: []
Exploring Operation: 90+11=101, Resulting Numbers: [10, 56, 101]
Generated Node #2: [10, 56, 101] from Operation: 90+11=101
Current State: 55:[10, 56, 101], Operations: ['90+11=101']
Exploring Operation: 56-10=46, Resulting Numbers: [101, 46]
Generated Node #3: [101, 46] from Operation: 56-10=46
Current State: 55:[101, 46], Operations: ['90+11=101', '56-10=46']
Exploring Operation: 101-46=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[90, 11, 10, 56], Operations: []
Exploring Operation: 90/10=9, Resulting Numbers: [11, 56, 9]
Generated Node #0,0: 55:[11, 56, 9] Operation: 90/10=9
Exploring Operation: 90-56=34, Resulting Numbers: [11, 10, 34]
Generated Node #0,1: 55:[11, 10, 34] Operation: 90-56=34
Start Sub Search at level 1: Moving to Node #0,0
Current State: 55:[11, 56, 9], Operations: ['90/10=9']
Exploring Operation: 56-9=47, Resulting Numbers: [11, 47]
Generated Node #0,0,0: 55:[11, 47] Operation: 56-9=47
Exploring Operation: 11-9=2, Resulting Numbers: [56, 2]
Generated Node #0,0,1: 55:[56, 2] Operation: 11-9=2
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 55:[56, 2], Operations: ['90/10=9', '11-9=2']
Exploring Operation: 56+2=58, Resulting Numbers: [58]
58,55 unequal: No Solution
Exploring Operation: 56-2=54, Resulting Numbers: [54]
54,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 55:[11, 47], Operations: ['90/10=9', '56-9=47']
Exploring Operation: 11+47=58, Resulting Numbers: [58]
58,55 unequal: No Solution
Exploring Operation: 47-11=36, Resulting Numbers: [36]
36,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 55:[11, 10, 34], Operations: ['90-56=34']
Exploring Operation: 10+34=44, Resulting Numbers: [11, 44]
Generated Node #0,1,0: 55:[11, 44] Operation: 10+34=44
Exploring Operation: 11+34=45, Resulting Numbers: [10, 45]
Generated Node #0,1,1: 55:[10, 45] Operation: 11+34=45
Moving to Node #0,1,0
Current State: 55:[11, 44], Operations: ['90-56=34', '10+34=44']
Exploring Operation: 11+44=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Moving to Node #0
Current State: 55:[90, 11, 10, 56], Operations: []
Exploring Operation: 90-56=34, Resulting Numbers: [11, 10, 34]
Generated Node #0,1: 55:[11, 10, 34] Operation: 90-56=34
Moving to Node #0,1
Current State: 55:[11, 10, 34], Operations: ['90-56=34']
Exploring Operation: 10+34=44, Resulting Numbers: [11, 44]
Generated Node #0,1,0: 55:[11, 44] Operation: 10+34=44
Moving to Node #0,1,0
Current State: 55:[11, 44], Operations: ['90-56=34', '10+34=44']
Exploring Operation: 11+44=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_2 | sum_heuristic |
[
82,
84,
31,
44
] | 91 | [
"82+84=166",
"31+44=75",
"166-75=91"
] | Current State: 91:[82, 84, 31, 44], Operations: []
Exploring Operation: 82+84=166, Resulting Numbers: [31, 44, 166]
Generated Node #2: [31, 44, 166] from Operation: 82+84=166
Current State: 91:[31, 44, 166], Operations: ['82+84=166']
Exploring Operation: 31+44=75, Resulting Numbers: [166, 75]
Generated Node #3: [166, 75] from Operation: 31+44=75
Current State: 91:[166, 75], Operations: ['82+84=166', '31+44=75']
Exploring Operation: 166-75=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[82, 84, 31, 44], Operations: []
Exploring Operation: 44-31=13, Resulting Numbers: [82, 84, 13]
Generated Node #0,0: 91:[82, 84, 13] Operation: 44-31=13
Start Sub Search at level 1: Moving to Node #0,0
Current State: 91:[82, 84, 13], Operations: ['44-31=13']
Exploring Operation: 84-82=2, Resulting Numbers: [13, 2]
Generated Node #0,0,0: 91:[13, 2] Operation: 84-82=2
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 91:[13, 2], Operations: ['44-31=13', '84-82=2']
Exploring Operation: 13+2=15, Resulting Numbers: [15]
15,91 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
97,
99,
56,
16
] | 36 | [
"99-97=2",
"56+16=72",
"72/2=36"
] | Current State: 36:[97, 99, 56, 16], Operations: []
Exploring Operation: 99-97=2, Resulting Numbers: [56, 16, 2]
Generated Node #2: [56, 16, 2] from Operation: 99-97=2
Current State: 36:[56, 16, 2], Operations: ['99-97=2']
Exploring Operation: 56+16=72, Resulting Numbers: [2, 72]
Generated Node #3: [2, 72] from Operation: 56+16=72
Current State: 36:[2, 72], Operations: ['99-97=2', '56+16=72']
Exploring Operation: 72/2=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[97, 99, 56, 16], Operations: []
Exploring Operation: 97-56=41, Resulting Numbers: [99, 16, 41]
Generated Node #0,0: 36:[99, 16, 41] Operation: 97-56=41
Exploring Operation: 99-56=43, Resulting Numbers: [97, 16, 43]
Generated Node #0,1: 36:[97, 16, 43] Operation: 99-56=43
Exploring Operation: 99-97=2, Resulting Numbers: [56, 16, 2]
Generated Node #0,2: 36:[56, 16, 2] Operation: 99-97=2
Start Sub Search at level 1: Moving to Node #0,2
Current State: 36:[56, 16, 2], Operations: ['99-97=2']
Exploring Operation: 56-2=54, Resulting Numbers: [16, 54]
Generated Node #0,2,0: 36:[16, 54] Operation: 56-2=54
Exploring Operation: 56/2=28, Resulting Numbers: [16, 28]
Generated Node #0,2,1: 36:[16, 28] Operation: 56/2=28
Exploring Operation: 56-16=40, Resulting Numbers: [2, 40]
Generated Node #0,2,2: 36:[2, 40] Operation: 56-16=40
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 36:[2, 40], Operations: ['99-97=2', '56-16=40']
Exploring Operation: 2+40=42, Resulting Numbers: [42]
42,36 unequal: No Solution
Exploring Operation: 40/2=20, Resulting Numbers: [20]
20,36 unequal: No Solution
Exploring Operation: 40-2=38, Resulting Numbers: [38]
38,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 36:[16, 28], Operations: ['99-97=2', '56/2=28']
Exploring Operation: 16+28=44, Resulting Numbers: [44]
44,36 unequal: No Solution
Exploring Operation: 28-16=12, Resulting Numbers: [12]
12,36 unequal: No Solution
Exploring Operation: 16*28=448, Resulting Numbers: [448]
448,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 36:[16, 54], Operations: ['99-97=2', '56-2=54']
Exploring Operation: 54-16=38, Resulting Numbers: [38]
38,36 unequal: No Solution
Exploring Operation: 16*54=864, Resulting Numbers: [864]
864,36 unequal: No Solution
Exploring Operation: 16+54=70, Resulting Numbers: [70]
70,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 36:[99, 16, 41], Operations: ['97-56=41']
Exploring Operation: 99-16=83, Resulting Numbers: [41, 83]
Generated Node #0,0,0: 36:[41, 83] Operation: 99-16=83
Exploring Operation: 99-41=58, Resulting Numbers: [16, 58]
Generated Node #0,0,1: 36:[16, 58] Operation: 99-41=58
Exploring Operation: 41-16=25, Resulting Numbers: [99, 25]
Generated Node #0,0,2: 36:[99, 25] Operation: 41-16=25
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 36:[16, 58], Operations: ['97-56=41', '99-41=58']
Exploring Operation: 58-16=42, Resulting Numbers: [42]
42,36 unequal: No Solution
Exploring Operation: 16+58=74, Resulting Numbers: [74]
74,36 unequal: No Solution
Exploring Operation: 16*58=928, Resulting Numbers: [928]
928,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 36:[41, 83], Operations: ['97-56=41', '99-16=83']
Exploring Operation: 41*83=3403, Resulting Numbers: [3403]
3403,36 unequal: No Solution
Exploring Operation: 83-41=42, Resulting Numbers: [42]
42,36 unequal: No Solution
Exploring Operation: 41+83=124, Resulting Numbers: [124]
124,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 36:[99, 25], Operations: ['97-56=41', '41-16=25']
Exploring Operation: 99-25=74, Resulting Numbers: [74]
74,36 unequal: No Solution
Exploring Operation: 99*25=2475, Resulting Numbers: [2475]
2475,36 unequal: No Solution
Exploring Operation: 99+25=124, Resulting Numbers: [124]
124,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 36:[97, 16, 43], Operations: ['99-56=43']
Exploring Operation: 97-43=54, Resulting Numbers: [16, 54]
Generated Node #0,1,0: 36:[16, 54] Operation: 97-43=54
Exploring Operation: 43-16=27, Resulting Numbers: [97, 27]
Generated Node #0,1,1: 36:[97, 27] Operation: 43-16=27
Exploring Operation: 97-16=81, Resulting Numbers: [43, 81]
Generated Node #0,1,2: 36:[43, 81] Operation: 97-16=81
Moving to Node #0,1,0
Current State: 36:[16, 54], Operations: ['99-56=43', '97-43=54']
Exploring Operation: 54-16=38, Resulting Numbers: [38]
38,36 unequal: No Solution
Exploring Operation: 16*54=864, Resulting Numbers: [864]
864,36 unequal: No Solution
Exploring Operation: 16+54=70, Resulting Numbers: [70]
70,36 unequal: No Solution
Moving to Node #0,1,2
Current State: 36:[43, 81], Operations: ['99-56=43', '97-16=81']
Exploring Operation: 81-43=38, Resulting Numbers: [38]
38,36 unequal: No Solution
Exploring Operation: 43*81=3483, Resulting Numbers: [3483]
3483,36 unequal: No Solution
Exploring Operation: 43+81=124, Resulting Numbers: [124]
124,36 unequal: No Solution
Moving to Node #0,1,1
Current State: 36:[97, 27], Operations: ['99-56=43', '43-16=27']
Exploring Operation: 97*27=2619, Resulting Numbers: [2619]
2619,36 unequal: No Solution
Exploring Operation: 97+27=124, Resulting Numbers: [124]
124,36 unequal: No Solution
Exploring Operation: 97-27=70, Resulting Numbers: [70]
70,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
58,
90,
51,
58
] | 77 | [
"90-58=32",
"51+58=109",
"109-32=77"
] | Current State: 77:[58, 90, 51, 58], Operations: []
Exploring Operation: 90-58=32, Resulting Numbers: [51, 32]
Generated Node #2: [51, 32] from Operation: 90-58=32
Current State: 77:[51, 32], Operations: ['90-58=32']
Exploring Operation: 51+58=109, Resulting Numbers: [32, 109]
Generated Node #3: [32, 109] from Operation: 51+58=109
Current State: 77:[32, 109], Operations: ['90-58=32', '51+58=109']
Exploring Operation: 109-32=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[58, 90, 51, 58], Operations: []
Exploring Operation: 58/58=1, Resulting Numbers: [90, 51, 1]
Generated Node #0,0: 77:[90, 51, 1] Operation: 58/58=1
Exploring Operation: 58-51=7, Resulting Numbers: [90, 58, 7]
Generated Node #0,1: 77:[90, 58, 7] Operation: 58-51=7
Exploring Operation: 58-58=0, Resulting Numbers: [90, 51, 0]
Generated Node #0,2: 77:[90, 51, 0] Operation: 58-58=0
Exploring Operation: 58-51=7, Resulting Numbers: [58, 90, 7]
Generated Node #0,3: 77:[58, 90, 7] Operation: 58-51=7
Start Sub Search at level 1: Moving to Node #0,1
Current State: 77:[90, 58, 7], Operations: ['58-51=7']
Exploring Operation: 90+7=97, Resulting Numbers: [58, 97]
Generated Node #0,1,0: 77:[58, 97] Operation: 90+7=97
Exploring Operation: 90-7=83, Resulting Numbers: [58, 83]
Generated Node #0,1,1: 77:[58, 83] Operation: 90-7=83
Exploring Operation: 58+7=65, Resulting Numbers: [90, 65]
Generated Node #0,1,2: 77:[90, 65] Operation: 58+7=65
Exploring Operation: 90-58=32, Resulting Numbers: [7, 32]
Generated Node #0,1,3: 77:[7, 32] Operation: 90-58=32
Moving to Node #0,1,3
Current State: 77:[7, 32], Operations: ['58-51=7', '90-58=32']
Exploring Operation: 7+32=39, Resulting Numbers: [39]
39,77 unequal: No Solution
Exploring Operation: 7*32=224, Resulting Numbers: [224]
224,77 unequal: No Solution
Exploring Operation: 32-7=25, Resulting Numbers: [25]
25,77 unequal: No Solution
Moving to Node #0,1,2
Current State: 77:[90, 65], Operations: ['58-51=7', '58+7=65']
Exploring Operation: 90*65=5850, Resulting Numbers: [5850]
5850,77 unequal: No Solution
Exploring Operation: 90-65=25, Resulting Numbers: [25]
25,77 unequal: No Solution
Exploring Operation: 90+65=155, Resulting Numbers: [155]
155,77 unequal: No Solution
Moving to Node #0,1,1
Current State: 77:[58, 83], Operations: ['58-51=7', '90-7=83']
Exploring Operation: 58+83=141, Resulting Numbers: [141]
141,77 unequal: No Solution
Exploring Operation: 58*83=4814, Resulting Numbers: [4814]
4814,77 unequal: No Solution
Exploring Operation: 83-58=25, Resulting Numbers: [25]
25,77 unequal: No Solution
Moving to Node #0,1,0
Current State: 77:[58, 97], Operations: ['58-51=7', '90+7=97']
Exploring Operation: 58+97=155, Resulting Numbers: [155]
155,77 unequal: No Solution
Exploring Operation: 97-58=39, Resulting Numbers: [39]
39,77 unequal: No Solution
Exploring Operation: 58*97=5626, Resulting Numbers: [5626]
5626,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 77:[58, 90, 7], Operations: ['58-51=7']
Exploring Operation: 58-7=51, Resulting Numbers: [90, 51]
Generated Node #0,3,0: 77:[90, 51] Operation: 58-7=51
Exploring Operation: 90-7=83, Resulting Numbers: [58, 83]
Generated Node #0,3,1: 77:[58, 83] Operation: 90-7=83
Exploring Operation: 90-58=32, Resulting Numbers: [7, 32]
Generated Node #0,3,2: 77:[7, 32] Operation: 90-58=32
Exploring Operation: 58+7=65, Resulting Numbers: [90, 65]
Generated Node #0,3,3: 77:[90, 65] Operation: 58+7=65
Moving to Node #0,3,2
Current State: 77:[7, 32], Operations: ['58-51=7', '90-58=32']
Exploring Operation: 7*32=224, Resulting Numbers: [224]
224,77 unequal: No Solution
Exploring Operation: 7+32=39, Resulting Numbers: [39]
39,77 unequal: No Solution
Exploring Operation: 32-7=25, Resulting Numbers: [25]
25,77 unequal: No Solution
Moving to Node #0,3,3
Current State: 77:[90, 65], Operations: ['58-51=7', '58+7=65']
Exploring Operation: 90+65=155, Resulting Numbers: [155]
155,77 unequal: No Solution
Exploring Operation: 90-65=25, Resulting Numbers: [25]
25,77 unequal: No Solution
Exploring Operation: 90*65=5850, Resulting Numbers: [5850]
5850,77 unequal: No Solution
Moving to Node #0,3,1
Current State: 77:[58, 83], Operations: ['58-51=7', '90-7=83']
Exploring Operation: 58+83=141, Resulting Numbers: [141]
141,77 unequal: No Solution
Exploring Operation: 83-58=25, Resulting Numbers: [25]
25,77 unequal: No Solution
Exploring Operation: 58*83=4814, Resulting Numbers: [4814]
4814,77 unequal: No Solution
Moving to Node #0,3,0
Current State: 77:[90, 51], Operations: ['58-51=7', '58-7=51']
Exploring Operation: 90*51=4590, Resulting Numbers: [4590]
4590,77 unequal: No Solution
Exploring Operation: 90+51=141, Resulting Numbers: [141]
141,77 unequal: No Solution
Exploring Operation: 90-51=39, Resulting Numbers: [39]
39,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 77:[90, 51, 1], Operations: ['58/58=1']
Exploring Operation: 90-1=89, Resulting Numbers: [51, 89]
Generated Node #0,0,0: 77:[51, 89] Operation: 90-1=89
Exploring Operation: 90*1=90, Resulting Numbers: [51, 90]
Generated Node #0,0,1: 77:[51, 90] Operation: 90*1=90
Exploring Operation: 90-51=39, Resulting Numbers: [1, 39]
Generated Node #0,0,2: 77:[1, 39] Operation: 90-51=39
Exploring Operation: 51+1=52, Resulting Numbers: [90, 52]
Generated Node #0,0,3: 77:[90, 52] Operation: 51+1=52
Moving to Node #0,0,2
Current State: 77:[1, 39], Operations: ['58/58=1', '90-51=39']
Exploring Operation: 1*39=39, Resulting Numbers: [39]
39,77 unequal: No Solution
Exploring Operation: 39/1=39, Resulting Numbers: [39]
39,77 unequal: No Solution
Exploring Operation: 39-1=38, Resulting Numbers: [38]
38,77 unequal: No Solution
Exploring Operation: 1+39=40, Resulting Numbers: [40]
40,77 unequal: No Solution
Moving to Node #0,0,3
Current State: 77:[90, 52], Operations: ['58/58=1', '51+1=52']
Exploring Operation: 90*52=4680, Resulting Numbers: [4680]
4680,77 unequal: No Solution
Exploring Operation: 90-52=38, Resulting Numbers: [38]
38,77 unequal: No Solution
Exploring Operation: 90+52=142, Resulting Numbers: [142]
142,77 unequal: No Solution
Moving to Node #0,0,0
Current State: 77:[51, 89], Operations: ['58/58=1', '90-1=89']
Exploring Operation: 51*89=4539, Resulting Numbers: [4539]
4539,77 unequal: No Solution
Exploring Operation: 51+89=140, Resulting Numbers: [140]
140,77 unequal: No Solution
Exploring Operation: 89-51=38, Resulting Numbers: [38]
38,77 unequal: No Solution
Moving to Node #0,0,1
Current State: 77:[51, 90], Operations: ['58/58=1', '90*1=90']
Exploring Operation: 51*90=4590, Resulting Numbers: [4590]
4590,77 unequal: No Solution
Exploring Operation: 51+90=141, Resulting Numbers: [141]
141,77 unequal: No Solution
Exploring Operation: 90-51=39, Resulting Numbers: [39]
39,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 77:[90, 51, 0], Operations: ['58-58=0']
Exploring Operation: 51*0=0, Resulting Numbers: [90, 0]
Generated Node #0,2,0: 77:[90, 0] Operation: 51*0=0
Exploring Operation: 90+0=90, Resulting Numbers: [51, 90]
Generated Node #0,2,1: 77:[51, 90] Operation: 90+0=90
Exploring Operation: 90*0=0, Resulting Numbers: [51, 0]
Generated Node #0,2,2: 77:[51, 0] Operation: 90*0=0
Exploring Operation: 90-51=39, Resulting Numbers: [0, 39]
Generated Node #0,2,3: 77:[0, 39] Operation: 90-51=39
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 77:[90, 0], Operations: ['58-58=0', '51*0=0']
Exploring Operation: 90-0=90, Resulting Numbers: [90]
90,77 unequal: No Solution
Exploring Operation: 90*0=0, Resulting Numbers: [0]
0,77 unequal: No Solution
Exploring Operation: 90+0=90, Resulting Numbers: [90]
90,77 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 77:[51, 0], Operations: ['58-58=0', '90*0=0']
Exploring Operation: 51+0=51, Resulting Numbers: [51]
51,77 unequal: No Solution
Exploring Operation: 51-0=51, Resulting Numbers: [51]
51,77 unequal: No Solution
Exploring Operation: 51*0=0, Resulting Numbers: [0]
0,77 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 77:[0, 39], Operations: ['58-58=0', '90-51=39']
Exploring Operation: 0+39=39, Resulting Numbers: [39]
39,77 unequal: No Solution
Exploring Operation: 39-0=39, Resulting Numbers: [39]
39,77 unequal: No Solution
Exploring Operation: 0*39=0, Resulting Numbers: [0]
0,77 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 77:[51, 90], Operations: ['58-58=0', '90+0=90']
Exploring Operation: 51+90=141, Resulting Numbers: [141]
141,77 unequal: No Solution
Exploring Operation: 51*90=4590, Resulting Numbers: [4590]
4590,77 unequal: No Solution
Exploring Operation: 90-51=39, Resulting Numbers: [39]
39,77 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
93,
2,
64,
31
] | 60 | [
"93-31=62",
"2*62=124",
"124-64=60"
] | Current State: 60:[93, 2, 64, 31], Operations: []
Exploring Operation: 93-31=62, Resulting Numbers: [2, 64, 62]
Generated Node #2: [2, 64, 62] from Operation: 93-31=62
Current State: 60:[2, 64, 62], Operations: ['93-31=62']
Exploring Operation: 2*62=124, Resulting Numbers: [64, 124]
Generated Node #3: [64, 124] from Operation: 2*62=124
Current State: 60:[64, 124], Operations: ['93-31=62', '2*62=124']
Exploring Operation: 124-64=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[93, 2, 64, 31], Operations: []
Exploring Operation: 93-31=62, Resulting Numbers: [2, 64, 62]
Generated Node #0,0: 60:[2, 64, 62] Operation: 93-31=62
Exploring Operation: 93/31=3, Resulting Numbers: [2, 64, 3]
Generated Node #0,1: 60:[2, 64, 3] Operation: 93/31=3
Exploring Operation: 93-2=91, Resulting Numbers: [64, 31, 91]
Generated Node #0,2: 60:[64, 31, 91] Operation: 93-2=91
Exploring Operation: 93-64=29, Resulting Numbers: [2, 31, 29]
Generated Node #0,3: 60:[2, 31, 29] Operation: 93-64=29
Start Sub Search at level 1: Moving to Node #0,3
Current State: 60:[2, 31, 29], Operations: ['93-64=29']
Exploring Operation: 31+29=60, Resulting Numbers: [2, 60]
Generated Node #0,3,0: 60:[2, 60] Operation: 31+29=60
Exploring Operation: 31-29=2, Resulting Numbers: [2, 2]
Generated Node #0,3,1: 60:[2, 2] Operation: 31-29=2
Exploring Operation: 2+29=31, Resulting Numbers: [31, 31]
Generated Node #0,3,2: 60:[31, 31] Operation: 2+29=31
Exploring Operation: 31-2=29, Resulting Numbers: [29, 29]
Generated Node #0,3,3: 60:[29, 29] Operation: 31-2=29
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 60:[2, 60], Operations: ['93-64=29', '31+29=60']
Exploring Operation: 60/2=30, Resulting Numbers: [30]
30,60 unequal: No Solution
Exploring Operation: 2+60=62, Resulting Numbers: [62]
62,60 unequal: No Solution
Exploring Operation: 2*60=120, Resulting Numbers: [120]
120,60 unequal: No Solution
Exploring Operation: 60-2=58, Resulting Numbers: [58]
58,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 60:[2, 2], Operations: ['93-64=29', '31-29=2']
Exploring Operation: 2/2=1, Resulting Numbers: [1]
1,60 unequal: No Solution
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,60 unequal: No Solution
Exploring Operation: 2-2=0, Resulting Numbers: [0]
0,60 unequal: No Solution
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 60:[31, 31], Operations: ['93-64=29', '2+29=31']
Exploring Operation: 31+31=62, Resulting Numbers: [62]
62,60 unequal: No Solution
Exploring Operation: 31/31=1, Resulting Numbers: [1]
1,60 unequal: No Solution
Exploring Operation: 31*31=961, Resulting Numbers: [961]
961,60 unequal: No Solution
Exploring Operation: 31-31=0, Resulting Numbers: [0]
0,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 60:[29, 29], Operations: ['93-64=29', '31-2=29']
Exploring Operation: 29*29=841, Resulting Numbers: [841]
841,60 unequal: No Solution
Exploring Operation: 29/29=1, Resulting Numbers: [1]
1,60 unequal: No Solution
Exploring Operation: 29+29=58, Resulting Numbers: [58]
58,60 unequal: No Solution
Exploring Operation: 29-29=0, Resulting Numbers: [0]
0,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 60:[2, 64, 3], Operations: ['93/31=3']
Exploring Operation: 2+3=5, Resulting Numbers: [64, 5]
Generated Node #0,1,0: 60:[64, 5] Operation: 2+3=5
Exploring Operation: 64-3=61, Resulting Numbers: [2, 61]
Generated Node #0,1,1: 60:[2, 61] Operation: 64-3=61
Exploring Operation: 64/2=32, Resulting Numbers: [3, 32]
Generated Node #0,1,2: 60:[3, 32] Operation: 64/2=32
Exploring Operation: 64-2=62, Resulting Numbers: [3, 62]
Generated Node #0,1,3: 60:[3, 62] Operation: 64-2=62
Moving to Node #0,1,1
Current State: 60:[2, 61], Operations: ['93/31=3', '64-3=61']
Exploring Operation: 2+61=63, Resulting Numbers: [63]
63,60 unequal: No Solution
Exploring Operation: 61-2=59, Resulting Numbers: [59]
59,60 unequal: No Solution
Exploring Operation: 2*61=122, Resulting Numbers: [122]
122,60 unequal: No Solution
Moving to Node #0,1,3
Current State: 60:[3, 62], Operations: ['93/31=3', '64-2=62']
Exploring Operation: 62-3=59, Resulting Numbers: [59]
59,60 unequal: No Solution
Exploring Operation: 3+62=65, Resulting Numbers: [65]
65,60 unequal: No Solution
Exploring Operation: 3*62=186, Resulting Numbers: [186]
186,60 unequal: No Solution
Moving to Node #0,1,2
Current State: 60:[3, 32], Operations: ['93/31=3', '64/2=32']
Exploring Operation: 32-3=29, Resulting Numbers: [29]
29,60 unequal: No Solution
Exploring Operation: 3+32=35, Resulting Numbers: [35]
35,60 unequal: No Solution
Exploring Operation: 3*32=96, Resulting Numbers: [96]
96,60 unequal: No Solution
Moving to Node #0,1,0
Current State: 60:[64, 5], Operations: ['93/31=3', '2+3=5']
Exploring Operation: 64*5=320, Resulting Numbers: [320]
320,60 unequal: No Solution
Exploring Operation: 64+5=69, Resulting Numbers: [69]
69,60 unequal: No Solution
Exploring Operation: 64-5=59, Resulting Numbers: [59]
59,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 60:[2, 64, 62], Operations: ['93-31=62']
Exploring Operation: 64-62=2, Resulting Numbers: [2, 2]
Generated Node #0,0,0: 60:[2, 2] Operation: 64-62=2
Exploring Operation: 64-2=62, Resulting Numbers: [62, 62]
Generated Node #0,0,1: 60:[62, 62] Operation: 64-2=62
Exploring Operation: 64/2=32, Resulting Numbers: [62, 32]
Generated Node #0,0,2: 60:[62, 32] Operation: 64/2=32
Exploring Operation: 62-2=60, Resulting Numbers: [64, 60]
Generated Node #0,0,3: 60:[64, 60] Operation: 62-2=60
Moving to Node #0,0,0
Current State: 60:[2, 2], Operations: ['93-31=62', '64-62=2']
Exploring Operation: 2-2=0, Resulting Numbers: [0]
0,60 unequal: No Solution
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,60 unequal: No Solution
Exploring Operation: 2/2=1, Resulting Numbers: [1]
1,60 unequal: No Solution
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,60 unequal: No Solution
Moving to Node #0,0,2
Current State: 60:[62, 32], Operations: ['93-31=62', '64/2=32']
Exploring Operation: 62+32=94, Resulting Numbers: [94]
94,60 unequal: No Solution
Exploring Operation: 62-32=30, Resulting Numbers: [30]
30,60 unequal: No Solution
Exploring Operation: 62*32=1984, Resulting Numbers: [1984]
1984,60 unequal: No Solution
Moving to Node #0,0,1
Current State: 60:[62, 62], Operations: ['93-31=62', '64-2=62']
Exploring Operation: 62-62=0, Resulting Numbers: [0]
0,60 unequal: No Solution
Exploring Operation: 62+62=124, Resulting Numbers: [124]
124,60 unequal: No Solution
Exploring Operation: 62/62=1, Resulting Numbers: [1]
1,60 unequal: No Solution
Exploring Operation: 62*62=3844, Resulting Numbers: [3844]
3844,60 unequal: No Solution
Moving to Node #0,0,3
Current State: 60:[64, 60], Operations: ['93-31=62', '62-2=60']
Exploring Operation: 64-60=4, Resulting Numbers: [4]
4,60 unequal: No Solution
Exploring Operation: 64*60=3840, Resulting Numbers: [3840]
3840,60 unequal: No Solution
Exploring Operation: 64+60=124, Resulting Numbers: [124]
124,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 60:[64, 31, 91], Operations: ['93-2=91']
Exploring Operation: 91-64=27, Resulting Numbers: [31, 27]
Generated Node #0,2,0: 60:[31, 27] Operation: 91-64=27
Exploring Operation: 64+31=95, Resulting Numbers: [91, 95]
Generated Node #0,2,1: 60:[91, 95] Operation: 64+31=95
Exploring Operation: 91-31=60, Resulting Numbers: [64, 60]
Generated Node #0,2,2: 60:[64, 60] Operation: 91-31=60
Exploring Operation: 64-31=33, Resulting Numbers: [91, 33]
Generated Node #0,2,3: 60:[91, 33] Operation: 64-31=33
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 60:[31, 27], Operations: ['93-2=91', '91-64=27']
Exploring Operation: 31*27=837, Resulting Numbers: [837]
837,60 unequal: No Solution
Exploring Operation: 31-27=4, Resulting Numbers: [4]
4,60 unequal: No Solution
Exploring Operation: 31+27=58, Resulting Numbers: [58]
58,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 60:[64, 60], Operations: ['93-2=91', '91-31=60']
Exploring Operation: 64-60=4, Resulting Numbers: [4]
4,60 unequal: No Solution
Exploring Operation: 64*60=3840, Resulting Numbers: [3840]
3840,60 unequal: No Solution
Exploring Operation: 64+60=124, Resulting Numbers: [124]
124,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 60:[91, 33], Operations: ['93-2=91', '64-31=33']
Exploring Operation: 91-33=58, Resulting Numbers: [58]
58,60 unequal: No Solution
Exploring Operation: 91+33=124, Resulting Numbers: [124]
124,60 unequal: No Solution
Exploring Operation: 91*33=3003, Resulting Numbers: [3003]
3003,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 60:[91, 95], Operations: ['93-2=91', '64+31=95']
Exploring Operation: 91+95=186, Resulting Numbers: [186]
186,60 unequal: No Solution
Exploring Operation: 91*95=8645, Resulting Numbers: [8645]
8645,60 unequal: No Solution
Exploring Operation: 95-91=4, Resulting Numbers: [4]
4,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
1,
7,
6,
18
] | 11 | [
"1+7=8",
"18/6=3",
"8+3=11"
] | Current State: 11:[1, 7, 6, 18], Operations: []
Exploring Operation: 1+7=8, Resulting Numbers: [6, 18, 8]
Generated Node #2: [6, 18, 8] from Operation: 1+7=8
Current State: 11:[6, 18, 8], Operations: ['1+7=8']
Exploring Operation: 18/6=3, Resulting Numbers: [8, 3]
Generated Node #3: [8, 3] from Operation: 18/6=3
Current State: 11:[8, 3], Operations: ['1+7=8', '18/6=3']
Exploring Operation: 8+3=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[1, 7, 6, 18], Operations: []
Exploring Operation: 1+6=7, Resulting Numbers: [7, 18, 7]
Generated Node #0,0: 11:[7, 18, 7] Operation: 1+6=7
Exploring Operation: 1+7=8, Resulting Numbers: [6, 18, 8]
Generated Node #0,1: 11:[6, 18, 8] Operation: 1+7=8
Start Sub Search at level 1: Moving to Node #0,0
Current State: 11:[7, 18, 7], Operations: ['1+6=7']
Exploring Operation: 18-7=11, Resulting Numbers: [7, 11]
Generated Node #0,0,0: 11:[7, 11] Operation: 18-7=11
Exploring Operation: 18-7=11, Resulting Numbers: [7, 11]
Generated Node #0,0,1: 11:[7, 11] Operation: 18-7=11
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 11:[7, 11], Operations: ['1+6=7', '18-7=11']
Exploring Operation: 7+11=18, Resulting Numbers: [18]
18,11 unequal: No Solution
Exploring Operation: 11-7=4, Resulting Numbers: [4]
4,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 11:[7, 11], Operations: ['1+6=7', '18-7=11']
Exploring Operation: 11-7=4, Resulting Numbers: [4]
4,11 unequal: No Solution
Exploring Operation: 7+11=18, Resulting Numbers: [18]
18,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 11:[6, 18, 8], Operations: ['1+7=8']
Exploring Operation: 18-8=10, Resulting Numbers: [6, 10]
Generated Node #0,1,0: 11:[6, 10] Operation: 18-8=10
Exploring Operation: 18-6=12, Resulting Numbers: [8, 12]
Generated Node #0,1,1: 11:[8, 12] Operation: 18-6=12
Moving to Node #0,1,1
Current State: 11:[8, 12], Operations: ['1+7=8', '18-6=12']
Exploring Operation: 8+12=20, Resulting Numbers: [20]
20,11 unequal: No Solution
Exploring Operation: 12-8=4, Resulting Numbers: [4]
4,11 unequal: No Solution
Moving to Node #0,1,0
Current State: 11:[6, 10], Operations: ['1+7=8', '18-8=10']
Exploring Operation: 6+10=16, Resulting Numbers: [16]
16,11 unequal: No Solution
Exploring Operation: 10-6=4, Resulting Numbers: [4]
4,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
85,
61,
24,
4
] | 44 | [
"85-61=24",
"24-4=20",
"24+20=44"
] | Current State: 44:[85, 61, 24, 4], Operations: []
Exploring Operation: 85-61=24, Resulting Numbers: [24, 4, 24]
Generated Node #2: [24, 4, 24] from Operation: 85-61=24
Current State: 44:[24, 4, 24], Operations: ['85-61=24']
Exploring Operation: 24-4=20, Resulting Numbers: [20]
20,44 equal: Goal Reached
Exploring Operation: 24+20=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[85, 61, 24, 4], Operations: []
Exploring Operation: 61-24=37, Resulting Numbers: [85, 4, 37]
Generated Node #0,0: 44:[85, 4, 37] Operation: 61-24=37
Exploring Operation: 85-61=24, Resulting Numbers: [24, 4, 24]
Generated Node #0,1: 44:[24, 4, 24] Operation: 85-61=24
Exploring Operation: 85-24=61, Resulting Numbers: [61, 4, 61]
Generated Node #0,2: 44:[61, 4, 61] Operation: 85-24=61
Moving to Node #0,1
Current State: 44:[24, 4, 24], Operations: ['85-61=24']
Exploring Operation: 24-4=20, Resulting Numbers: [24, 20]
Generated Node #0,1,0: 44:[24, 20] Operation: 24-4=20
Exploring Operation: 24/24=1, Resulting Numbers: [4, 1]
Generated Node #0,1,1: 44:[4, 1] Operation: 24/24=1
Exploring Operation: 24-24=0, Resulting Numbers: [4, 0]
Generated Node #0,1,2: 44:[4, 0] Operation: 24-24=0
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 44:[4, 1], Operations: ['85-61=24', '24/24=1']
Exploring Operation: 4+1=5, Resulting Numbers: [5]
5,44 unequal: No Solution
Exploring Operation: 4*1=4, Resulting Numbers: [4]
4,44 unequal: No Solution
Exploring Operation: 4/1=4, Resulting Numbers: [4]
4,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 44:[4, 0], Operations: ['85-61=24', '24-24=0']
Exploring Operation: 4+0=4, Resulting Numbers: [4]
4,44 unequal: No Solution
Exploring Operation: 4*0=0, Resulting Numbers: [0]
0,44 unequal: No Solution
Exploring Operation: 4-0=4, Resulting Numbers: [4]
4,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 44:[24, 20], Operations: ['85-61=24', '24-4=20']
Exploring Operation: 24-20=4, Resulting Numbers: [4]
4,44 unequal: No Solution
Exploring Operation: 24*20=480, Resulting Numbers: [480]
480,44 unequal: No Solution
Exploring Operation: 24+20=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Moving to Node #0
Current State: 44:[85, 61, 24, 4], Operations: []
Exploring Operation: 85-61=24, Resulting Numbers: [24, 4, 24]
Generated Node #0,1: 44:[24, 4, 24] Operation: 85-61=24
Moving to Node #0,1
Current State: 44:[24, 4, 24], Operations: ['85-61=24']
Exploring Operation: 24-4=20, Resulting Numbers: [24, 20]
Generated Node #0,1,0: 44:[24, 20] Operation: 24-4=20
Moving to Node #0,1,0
Current State: 44:[24, 20], Operations: ['85-61=24', '24-4=20']
Exploring Operation: 24+20=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_3 | sum_heuristic |
[
82,
4,
28,
38
] | 18 | [
"82+28=110",
"110-38=72",
"72/4=18"
] | Current State: 18:[82, 4, 28, 38], Operations: []
Exploring Operation: 82+28=110, Resulting Numbers: [4, 38, 110]
Generated Node #2: [4, 38, 110] from Operation: 82+28=110
Current State: 18:[4, 38, 110], Operations: ['82+28=110']
Exploring Operation: 110-38=72, Resulting Numbers: [4, 72]
Generated Node #3: [4, 72] from Operation: 110-38=72
Current State: 18:[4, 72], Operations: ['82+28=110', '110-38=72']
Exploring Operation: 72/4=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[82, 4, 28, 38], Operations: []
Exploring Operation: 82-28=54, Resulting Numbers: [4, 38, 54]
Generated Node #0,0: 18:[4, 38, 54] Operation: 82-28=54
Exploring Operation: 82-38=44, Resulting Numbers: [4, 28, 44]
Generated Node #0,1: 18:[4, 28, 44] Operation: 82-38=44
Start Sub Search at level 1: Moving to Node #0,1
Current State: 18:[4, 28, 44], Operations: ['82-38=44']
Exploring Operation: 44/4=11, Resulting Numbers: [28, 11]
Generated Node #0,1,0: 18:[28, 11] Operation: 44/4=11
Exploring Operation: 44-28=16, Resulting Numbers: [4, 16]
Generated Node #0,1,1: 18:[4, 16] Operation: 44-28=16
Moving to Node #0,1,1
Current State: 18:[4, 16], Operations: ['82-38=44', '44-28=16']
Exploring Operation: 16/4=4, Resulting Numbers: [4]
4,18 unequal: No Solution
Exploring Operation: 4+16=20, Resulting Numbers: [20]
20,18 unequal: No Solution
Moving to Node #0,1,0
Current State: 18:[28, 11], Operations: ['82-38=44', '44/4=11']
Exploring Operation: 28-11=17, Resulting Numbers: [17]
17,18 unequal: No Solution
Exploring Operation: 28+11=39, Resulting Numbers: [39]
39,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 18:[4, 38, 54], Operations: ['82-28=54']
Exploring Operation: 38-4=34, Resulting Numbers: [54, 34]
Generated Node #0,0,0: 18:[54, 34] Operation: 38-4=34
Exploring Operation: 54-38=16, Resulting Numbers: [4, 16]
Generated Node #0,0,1: 18:[4, 16] Operation: 54-38=16
Moving to Node #0,0,1
Current State: 18:[4, 16], Operations: ['82-28=54', '54-38=16']
Exploring Operation: 16/4=4, Resulting Numbers: [4]
4,18 unequal: No Solution
Exploring Operation: 4+16=20, Resulting Numbers: [20]
20,18 unequal: No Solution
Moving to Node #0,0,0
Current State: 18:[54, 34], Operations: ['82-28=54', '38-4=34']
Exploring Operation: 54+34=88, Resulting Numbers: [88]
88,18 unequal: No Solution
Exploring Operation: 54-34=20, Resulting Numbers: [20]
20,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
36,
90,
50,
10
] | 32 | [
"90-50=40",
"40/10=4",
"36-4=32"
] | Current State: 32:[36, 90, 50, 10], Operations: []
Exploring Operation: 90-50=40, Resulting Numbers: [36, 10, 40]
Generated Node #2: [36, 10, 40] from Operation: 90-50=40
Current State: 32:[36, 10, 40], Operations: ['90-50=40']
Exploring Operation: 40/10=4, Resulting Numbers: [36, 4]
Generated Node #3: [36, 4] from Operation: 40/10=4
Current State: 32:[36, 4], Operations: ['90-50=40', '40/10=4']
Exploring Operation: 36-4=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[36, 90, 50, 10], Operations: []
Exploring Operation: 90-50=40, Resulting Numbers: [36, 10, 40]
Generated Node #0,0: 32:[36, 10, 40] Operation: 90-50=40
Exploring Operation: 50-36=14, Resulting Numbers: [90, 10, 14]
Generated Node #0,1: 32:[90, 10, 14] Operation: 50-36=14
Exploring Operation: 90/10=9, Resulting Numbers: [36, 50, 9]
Generated Node #0,2: 32:[36, 50, 9] Operation: 90/10=9
Exploring Operation: 90-36=54, Resulting Numbers: [50, 10, 54]
Generated Node #0,3: 32:[50, 10, 54] Operation: 90-36=54
Start Sub Search at level 1: Moving to Node #0,0
Current State: 32:[36, 10, 40], Operations: ['90-50=40']
Exploring Operation: 36-10=26, Resulting Numbers: [40, 26]
Generated Node #0,0,0: 32:[40, 26] Operation: 36-10=26
Exploring Operation: 40-10=30, Resulting Numbers: [36, 30]
Generated Node #0,0,1: 32:[36, 30] Operation: 40-10=30
Exploring Operation: 40-36=4, Resulting Numbers: [10, 4]
Generated Node #0,0,2: 32:[10, 4] Operation: 40-36=4
Exploring Operation: 40/10=4, Resulting Numbers: [36, 4]
Generated Node #0,0,3: 32:[36, 4] Operation: 40/10=4
Moving to Node #0,0,2
Current State: 32:[10, 4], Operations: ['90-50=40', '40-36=4']
Exploring Operation: 10+4=14, Resulting Numbers: [14]
14,32 unequal: No Solution
Exploring Operation: 10*4=40, Resulting Numbers: [40]
40,32 unequal: No Solution
Exploring Operation: 10-4=6, Resulting Numbers: [6]
6,32 unequal: No Solution
Moving to Node #0,0,3
Current State: 32:[36, 4], Operations: ['90-50=40', '40/10=4']
Exploring Operation: 36+4=40, Resulting Numbers: [40]
40,32 unequal: No Solution
Exploring Operation: 36*4=144, Resulting Numbers: [144]
144,32 unequal: No Solution
Exploring Operation: 36-4=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Moving to Node #0
Current State: 32:[36, 90, 50, 10], Operations: []
Exploring Operation: 90-50=40, Resulting Numbers: [36, 10, 40]
Generated Node #0,0: 32:[36, 10, 40] Operation: 90-50=40
Moving to Node #0,0
Current State: 32:[36, 10, 40], Operations: ['90-50=40']
Exploring Operation: 40/10=4, Resulting Numbers: [36, 4]
Generated Node #0,0,3: 32:[36, 4] Operation: 40/10=4
Moving to Node #0,0,3
Current State: 32:[36, 4], Operations: ['90-50=40', '40/10=4']
Exploring Operation: 36-4=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_4 | sum_heuristic |
[
6,
23,
26,
63
] | 10 | [
"26-23=3",
"63-3=60",
"60/6=10"
] | Current State: 10:[6, 23, 26, 63], Operations: []
Exploring Operation: 26-23=3, Resulting Numbers: [6, 63, 3]
Generated Node #2: [6, 63, 3] from Operation: 26-23=3
Current State: 10:[6, 63, 3], Operations: ['26-23=3']
Exploring Operation: 63-3=60, Resulting Numbers: [6, 60]
Generated Node #3: [6, 60] from Operation: 63-3=60
Current State: 10:[6, 60], Operations: ['26-23=3', '63-3=60']
Exploring Operation: 60/6=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[6, 23, 26, 63], Operations: []
Exploring Operation: 63-26=37, Resulting Numbers: [6, 23, 37]
Generated Node #0,0: 10:[6, 23, 37] Operation: 63-26=37
Exploring Operation: 63-23=40, Resulting Numbers: [6, 26, 40]
Generated Node #0,1: 10:[6, 26, 40] Operation: 63-23=40
Start Sub Search at level 1: Moving to Node #0,0
Current State: 10:[6, 23, 37], Operations: ['63-26=37']
Exploring Operation: 37-23=14, Resulting Numbers: [6, 14]
Generated Node #0,0,0: 10:[6, 14] Operation: 37-23=14
Exploring Operation: 23-6=17, Resulting Numbers: [37, 17]
Generated Node #0,0,1: 10:[37, 17] Operation: 23-6=17
Moving to Node #0,0,0
Current State: 10:[6, 14], Operations: ['63-26=37', '37-23=14']
Exploring Operation: 6+14=20, Resulting Numbers: [20]
20,10 unequal: No Solution
Exploring Operation: 14-6=8, Resulting Numbers: [8]
8,10 unequal: No Solution
Moving to Node #0,0,1
Current State: 10:[37, 17], Operations: ['63-26=37', '23-6=17']
Exploring Operation: 37+17=54, Resulting Numbers: [54]
54,10 unequal: No Solution
Exploring Operation: 37-17=20, Resulting Numbers: [20]
20,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 10:[6, 26, 40], Operations: ['63-23=40']
Exploring Operation: 26-6=20, Resulting Numbers: [40, 20]
Generated Node #0,1,0: 10:[40, 20] Operation: 26-6=20
Exploring Operation: 40-26=14, Resulting Numbers: [6, 14]
Generated Node #0,1,1: 10:[6, 14] Operation: 40-26=14
Moving to Node #0,1,1
Current State: 10:[6, 14], Operations: ['63-23=40', '40-26=14']
Exploring Operation: 6+14=20, Resulting Numbers: [20]
20,10 unequal: No Solution
Exploring Operation: 14-6=8, Resulting Numbers: [8]
8,10 unequal: No Solution
Moving to Node #0,1,0
Current State: 10:[40, 20], Operations: ['63-23=40', '26-6=20']
Exploring Operation: 40/20=2, Resulting Numbers: [2]
2,10 unequal: No Solution
Exploring Operation: 40-20=20, Resulting Numbers: [20]
20,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
69,
83,
2,
49
] | 86 | [
"83-49=34",
"34/2=17",
"69+17=86"
] | Current State: 86:[69, 83, 2, 49], Operations: []
Exploring Operation: 83-49=34, Resulting Numbers: [69, 2, 34]
Generated Node #2: [69, 2, 34] from Operation: 83-49=34
Current State: 86:[69, 2, 34], Operations: ['83-49=34']
Exploring Operation: 34/2=17, Resulting Numbers: [69, 17]
Generated Node #3: [69, 17] from Operation: 34/2=17
Current State: 86:[69, 17], Operations: ['83-49=34', '34/2=17']
Exploring Operation: 69+17=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[69, 83, 2, 49], Operations: []
Exploring Operation: 69-49=20, Resulting Numbers: [83, 2, 20]
Generated Node #0,0: 86:[83, 2, 20] Operation: 69-49=20
Exploring Operation: 83+2=85, Resulting Numbers: [69, 49, 85]
Generated Node #0,1: 86:[69, 49, 85] Operation: 83+2=85
Exploring Operation: 83-69=14, Resulting Numbers: [2, 49, 14]
Generated Node #0,2: 86:[2, 49, 14] Operation: 83-69=14
Exploring Operation: 49-2=47, Resulting Numbers: [69, 83, 47]
Generated Node #0,3: 86:[69, 83, 47] Operation: 49-2=47
Exploring Operation: 69+2=71, Resulting Numbers: [83, 49, 71]
Generated Node #0,4: 86:[83, 49, 71] Operation: 69+2=71
Start Sub Search at level 1: Moving to Node #0,2
Current State: 86:[2, 49, 14], Operations: ['83-69=14']
Exploring Operation: 49-14=35, Resulting Numbers: [2, 35]
Generated Node #0,2,0: 86:[2, 35] Operation: 49-14=35
Exploring Operation: 14-2=12, Resulting Numbers: [49, 12]
Generated Node #0,2,1: 86:[49, 12] Operation: 14-2=12
Exploring Operation: 49-2=47, Resulting Numbers: [14, 47]
Generated Node #0,2,2: 86:[14, 47] Operation: 49-2=47
Exploring Operation: 14/2=7, Resulting Numbers: [49, 7]
Generated Node #0,2,3: 86:[49, 7] Operation: 14/2=7
Exploring Operation: 2+49=51, Resulting Numbers: [14, 51]
Generated Node #0,2,4: 86:[14, 51] Operation: 2+49=51
Moving to Node #0,2,0
Current State: 86:[2, 35], Operations: ['83-69=14', '49-14=35']
Exploring Operation: 2*35=70, Resulting Numbers: [70]
70,86 unequal: No Solution
Exploring Operation: 35-2=33, Resulting Numbers: [33]
33,86 unequal: No Solution
Exploring Operation: 2+35=37, Resulting Numbers: [37]
37,86 unequal: No Solution
Moving to Node #0,2,3
Current State: 86:[49, 7], Operations: ['83-69=14', '14/2=7']
Exploring Operation: 49+7=56, Resulting Numbers: [56]
56,86 unequal: No Solution
Exploring Operation: 49*7=343, Resulting Numbers: [343]
343,86 unequal: No Solution
Exploring Operation: 49-7=42, Resulting Numbers: [42]
42,86 unequal: No Solution
Exploring Operation: 49/7=7, Resulting Numbers: [7]
7,86 unequal: No Solution
Moving to Node #0,2,1
Current State: 86:[49, 12], Operations: ['83-69=14', '14-2=12']
Exploring Operation: 49-12=37, Resulting Numbers: [37]
37,86 unequal: No Solution
Exploring Operation: 49*12=588, Resulting Numbers: [588]
588,86 unequal: No Solution
Exploring Operation: 49+12=61, Resulting Numbers: [61]
61,86 unequal: No Solution
Moving to Node #0,2,2
Current State: 86:[14, 47], Operations: ['83-69=14', '49-2=47']
Exploring Operation: 14+47=61, Resulting Numbers: [61]
61,86 unequal: No Solution
Exploring Operation: 14*47=658, Resulting Numbers: [658]
658,86 unequal: No Solution
Exploring Operation: 47-14=33, Resulting Numbers: [33]
33,86 unequal: No Solution
Moving to Node #0,2,4
Current State: 86:[14, 51], Operations: ['83-69=14', '2+49=51']
Exploring Operation: 14*51=714, Resulting Numbers: [714]
714,86 unequal: No Solution
Exploring Operation: 14+51=65, Resulting Numbers: [65]
65,86 unequal: No Solution
Exploring Operation: 51-14=37, Resulting Numbers: [37]
37,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 86:[83, 2, 20], Operations: ['69-49=20']
Exploring Operation: 20-2=18, Resulting Numbers: [83, 18]
Generated Node #0,0,0: 86:[83, 18] Operation: 20-2=18
Exploring Operation: 20/2=10, Resulting Numbers: [83, 10]
Generated Node #0,0,1: 86:[83, 10] Operation: 20/2=10
Exploring Operation: 83+2=85, Resulting Numbers: [20, 85]
Generated Node #0,0,2: 86:[20, 85] Operation: 83+2=85
Exploring Operation: 2*20=40, Resulting Numbers: [83, 40]
Generated Node #0,0,3: 86:[83, 40] Operation: 2*20=40
Exploring Operation: 83+20=103, Resulting Numbers: [2, 103]
Generated Node #0,0,4: 86:[2, 103] Operation: 83+20=103
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 86:[83, 40], Operations: ['69-49=20', '2*20=40']
Exploring Operation: 83-40=43, Resulting Numbers: [43]
43,86 unequal: No Solution
Exploring Operation: 83+40=123, Resulting Numbers: [123]
123,86 unequal: No Solution
Exploring Operation: 83*40=3320, Resulting Numbers: [3320]
3320,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 86:[83, 10], Operations: ['69-49=20', '20/2=10']
Exploring Operation: 83+10=93, Resulting Numbers: [93]
93,86 unequal: No Solution
Exploring Operation: 83*10=830, Resulting Numbers: [830]
830,86 unequal: No Solution
Exploring Operation: 83-10=73, Resulting Numbers: [73]
73,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 86:[2, 103], Operations: ['69-49=20', '83+20=103']
Exploring Operation: 2*103=206, Resulting Numbers: [206]
206,86 unequal: No Solution
Exploring Operation: 103-2=101, Resulting Numbers: [101]
101,86 unequal: No Solution
Exploring Operation: 2+103=105, Resulting Numbers: [105]
105,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 86:[83, 18], Operations: ['69-49=20', '20-2=18']
Exploring Operation: 83-18=65, Resulting Numbers: [65]
65,86 unequal: No Solution
Exploring Operation: 83+18=101, Resulting Numbers: [101]
101,86 unequal: No Solution
Exploring Operation: 83*18=1494, Resulting Numbers: [1494]
1494,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 86:[20, 85], Operations: ['69-49=20', '83+2=85']
Exploring Operation: 20*85=1700, Resulting Numbers: [1700]
1700,86 unequal: No Solution
Exploring Operation: 20+85=105, Resulting Numbers: [105]
105,86 unequal: No Solution
Exploring Operation: 85-20=65, Resulting Numbers: [65]
65,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 86:[69, 49, 85], Operations: ['83+2=85']
Exploring Operation: 85-49=36, Resulting Numbers: [69, 36]
Generated Node #0,1,0: 86:[69, 36] Operation: 85-49=36
Exploring Operation: 85-69=16, Resulting Numbers: [49, 16]
Generated Node #0,1,1: 86:[49, 16] Operation: 85-69=16
Exploring Operation: 49+85=134, Resulting Numbers: [69, 134]
Generated Node #0,1,2: 86:[69, 134] Operation: 49+85=134
Exploring Operation: 69+49=118, Resulting Numbers: [85, 118]
Generated Node #0,1,3: 86:[85, 118] Operation: 69+49=118
Exploring Operation: 69-49=20, Resulting Numbers: [85, 20]
Generated Node #0,1,4: 86:[85, 20] Operation: 69-49=20
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 86:[85, 20], Operations: ['83+2=85', '69-49=20']
Exploring Operation: 85*20=1700, Resulting Numbers: [1700]
1700,86 unequal: No Solution
Exploring Operation: 85+20=105, Resulting Numbers: [105]
105,86 unequal: No Solution
Exploring Operation: 85-20=65, Resulting Numbers: [65]
65,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 86:[49, 16], Operations: ['83+2=85', '85-69=16']
Exploring Operation: 49+16=65, Resulting Numbers: [65]
65,86 unequal: No Solution
Exploring Operation: 49*16=784, Resulting Numbers: [784]
784,86 unequal: No Solution
Exploring Operation: 49-16=33, Resulting Numbers: [33]
33,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 86:[69, 36], Operations: ['83+2=85', '85-49=36']
Exploring Operation: 69-36=33, Resulting Numbers: [33]
33,86 unequal: No Solution
Exploring Operation: 69*36=2484, Resulting Numbers: [2484]
2484,86 unequal: No Solution
Exploring Operation: 69+36=105, Resulting Numbers: [105]
105,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 86:[85, 118], Operations: ['83+2=85', '69+49=118']
Exploring Operation: 85+118=203, Resulting Numbers: [203]
203,86 unequal: No Solution
Exploring Operation: 118-85=33, Resulting Numbers: [33]
33,86 unequal: No Solution
Exploring Operation: 85*118=10030, Resulting Numbers: [10030]
10030,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 86:[69, 134], Operations: ['83+2=85', '49+85=134']
Exploring Operation: 134-69=65, Resulting Numbers: [65]
65,86 unequal: No Solution
Exploring Operation: 69*134=9246, Resulting Numbers: [9246]
9246,86 unequal: No Solution
Exploring Operation: 69+134=203, Resulting Numbers: [203]
203,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 86:[69, 83, 47], Operations: ['49-2=47']
Exploring Operation: 69+47=116, Resulting Numbers: [83, 116]
Generated Node #0,3,0: 86:[83, 116] Operation: 69+47=116
Exploring Operation: 69-47=22, Resulting Numbers: [83, 22]
Generated Node #0,3,1: 86:[83, 22] Operation: 69-47=22
Exploring Operation: 83-47=36, Resulting Numbers: [69, 36]
Generated Node #0,3,2: 86:[69, 36] Operation: 83-47=36
Exploring Operation: 83+47=130, Resulting Numbers: [69, 130]
Generated Node #0,3,3: 86:[69, 130] Operation: 83+47=130
Exploring Operation: 83-69=14, Resulting Numbers: [47, 14]
Generated Node #0,3,4: 86:[47, 14] Operation: 83-69=14
Moving to Node #0,3,4
Current State: 86:[47, 14], Operations: ['49-2=47', '83-69=14']
Exploring Operation: 47*14=658, Resulting Numbers: [658]
658,86 unequal: No Solution
Exploring Operation: 47-14=33, Resulting Numbers: [33]
33,86 unequal: No Solution
Exploring Operation: 47+14=61, Resulting Numbers: [61]
61,86 unequal: No Solution
Moving to Node #0,3,1
Current State: 86:[83, 22], Operations: ['49-2=47', '69-47=22']
Exploring Operation: 83+22=105, Resulting Numbers: [105]
105,86 unequal: No Solution
Exploring Operation: 83-22=61, Resulting Numbers: [61]
61,86 unequal: No Solution
Exploring Operation: 83*22=1826, Resulting Numbers: [1826]
1826,86 unequal: No Solution
Moving to Node #0,3,2
Current State: 86:[69, 36], Operations: ['49-2=47', '83-47=36']
Exploring Operation: 69-36=33, Resulting Numbers: [33]
33,86 unequal: No Solution
Exploring Operation: 69*36=2484, Resulting Numbers: [2484]
2484,86 unequal: No Solution
Exploring Operation: 69+36=105, Resulting Numbers: [105]
105,86 unequal: No Solution
Moving to Node #0,3,0
Current State: 86:[83, 116], Operations: ['49-2=47', '69+47=116']
Exploring Operation: 83+116=199, Resulting Numbers: [199]
199,86 unequal: No Solution
Exploring Operation: 83*116=9628, Resulting Numbers: [9628]
9628,86 unequal: No Solution
Exploring Operation: 116-83=33, Resulting Numbers: [33]
33,86 unequal: No Solution
Moving to Node #0,3,3
Current State: 86:[69, 130], Operations: ['49-2=47', '83+47=130']
Exploring Operation: 130-69=61, Resulting Numbers: [61]
61,86 unequal: No Solution
Exploring Operation: 69+130=199, Resulting Numbers: [199]
199,86 unequal: No Solution
Exploring Operation: 69*130=8970, Resulting Numbers: [8970]
8970,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 86:[83, 49, 71], Operations: ['69+2=71']
Exploring Operation: 71-49=22, Resulting Numbers: [83, 22]
Generated Node #0,4,0: 86:[83, 22] Operation: 71-49=22
Exploring Operation: 83-49=34, Resulting Numbers: [71, 34]
Generated Node #0,4,1: 86:[71, 34] Operation: 83-49=34
Exploring Operation: 83-71=12, Resulting Numbers: [49, 12]
Generated Node #0,4,2: 86:[49, 12] Operation: 83-71=12
Exploring Operation: 83+49=132, Resulting Numbers: [71, 132]
Generated Node #0,4,3: 86:[71, 132] Operation: 83+49=132
Exploring Operation: 49+71=120, Resulting Numbers: [83, 120]
Generated Node #0,4,4: 86:[83, 120] Operation: 49+71=120
Moving to Node #0,4,2
Current State: 86:[49, 12], Operations: ['69+2=71', '83-71=12']
Exploring Operation: 49*12=588, Resulting Numbers: [588]
588,86 unequal: No Solution
Exploring Operation: 49+12=61, Resulting Numbers: [61]
61,86 unequal: No Solution
Exploring Operation: 49-12=37, Resulting Numbers: [37]
37,86 unequal: No Solution
Moving to Node #0,4,0
Current State: 86:[83, 22], Operations: ['69+2=71', '71-49=22']
Exploring Operation: 83*22=1826, Resulting Numbers: [1826]
1826,86 unequal: No Solution
Exploring Operation: 83+22=105, Resulting Numbers: [105]
105,86 unequal: No Solution
Exploring Operation: 83-22=61, Resulting Numbers: [61]
61,86 unequal: No Solution
Moving to Node #0,4,1
Current State: 86:[71, 34], Operations: ['69+2=71', '83-49=34']
Exploring Operation: 71-34=37, Resulting Numbers: [37]
37,86 unequal: No Solution
Exploring Operation: 71*34=2414, Resulting Numbers: [2414]
2414,86 unequal: No Solution
Exploring Operation: 71+34=105, Resulting Numbers: [105]
105,86 unequal: No Solution
Moving to Node #0,4,4
Current State: 86:[83, 120], Operations: ['69+2=71', '49+71=120']
Exploring Operation: 83+120=203, Resulting Numbers: [203]
203,86 unequal: No Solution
Exploring Operation: 120-83=37, Resulting Numbers: [37]
37,86 unequal: No Solution
Exploring Operation: 83*120=9960, Resulting Numbers: [9960]
9960,86 unequal: No Solution
Moving to Node #0,4,3
Current State: 86:[71, 132], Operations: ['69+2=71', '83+49=132']
Exploring Operation: 132-71=61, Resulting Numbers: [61]
61,86 unequal: No Solution
Exploring Operation: 71+132=203, Resulting Numbers: [203]
203,86 unequal: No Solution
Exploring Operation: 71*132=9372, Resulting Numbers: [9372]
9372,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
59,
34,
3,
87
] | 44 | [
"59+87=146",
"34*3=102",
"146-102=44"
] | Current State: 44:[59, 34, 3, 87], Operations: []
Exploring Operation: 59+87=146, Resulting Numbers: [34, 3, 146]
Generated Node #2: [34, 3, 146] from Operation: 59+87=146
Current State: 44:[34, 3, 146], Operations: ['59+87=146']
Exploring Operation: 34*3=102, Resulting Numbers: [146, 102]
Generated Node #3: [146, 102] from Operation: 34*3=102
Current State: 44:[146, 102], Operations: ['59+87=146', '34*3=102']
Exploring Operation: 146-102=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[59, 34, 3, 87], Operations: []
Exploring Operation: 87-34=53, Resulting Numbers: [59, 3, 53]
Generated Node #0,0: 44:[59, 3, 53] Operation: 87-34=53
Exploring Operation: 87-59=28, Resulting Numbers: [34, 3, 28]
Generated Node #0,1: 44:[34, 3, 28] Operation: 87-59=28
Exploring Operation: 87/3=29, Resulting Numbers: [59, 34, 29]
Generated Node #0,2: 44:[59, 34, 29] Operation: 87/3=29
Exploring Operation: 59-34=25, Resulting Numbers: [3, 87, 25]
Generated Node #0,3: 44:[3, 87, 25] Operation: 59-34=25
Start Sub Search at level 1: Moving to Node #0,1
Current State: 44:[34, 3, 28], Operations: ['87-59=28']
Exploring Operation: 34+3=37, Resulting Numbers: [28, 37]
Generated Node #0,1,0: 44:[28, 37] Operation: 34+3=37
Exploring Operation: 28-3=25, Resulting Numbers: [34, 25]
Generated Node #0,1,1: 44:[34, 25] Operation: 28-3=25
Exploring Operation: 34-3=31, Resulting Numbers: [28, 31]
Generated Node #0,1,2: 44:[28, 31] Operation: 34-3=31
Exploring Operation: 34-28=6, Resulting Numbers: [3, 6]
Generated Node #0,1,3: 44:[3, 6] Operation: 34-28=6
Moving to Node #0,1,3
Current State: 44:[3, 6], Operations: ['87-59=28', '34-28=6']
Exploring Operation: 3+6=9, Resulting Numbers: [9]
9,44 unequal: No Solution
Exploring Operation: 3*6=18, Resulting Numbers: [18]
18,44 unequal: No Solution
Exploring Operation: 6-3=3, Resulting Numbers: [3]
3,44 unequal: No Solution
Exploring Operation: 6/3=2, Resulting Numbers: [2]
2,44 unequal: No Solution
Moving to Node #0,1,1
Current State: 44:[34, 25], Operations: ['87-59=28', '28-3=25']
Exploring Operation: 34*25=850, Resulting Numbers: [850]
850,44 unequal: No Solution
Exploring Operation: 34-25=9, Resulting Numbers: [9]
9,44 unequal: No Solution
Exploring Operation: 34+25=59, Resulting Numbers: [59]
59,44 unequal: No Solution
Moving to Node #0,1,0
Current State: 44:[28, 37], Operations: ['87-59=28', '34+3=37']
Exploring Operation: 28*37=1036, Resulting Numbers: [1036]
1036,44 unequal: No Solution
Exploring Operation: 37-28=9, Resulting Numbers: [9]
9,44 unequal: No Solution
Exploring Operation: 28+37=65, Resulting Numbers: [65]
65,44 unequal: No Solution
Moving to Node #0,1,2
Current State: 44:[28, 31], Operations: ['87-59=28', '34-3=31']
Exploring Operation: 31-28=3, Resulting Numbers: [3]
3,44 unequal: No Solution
Exploring Operation: 28+31=59, Resulting Numbers: [59]
59,44 unequal: No Solution
Exploring Operation: 28*31=868, Resulting Numbers: [868]
868,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 44:[59, 3, 53], Operations: ['87-34=53']
Exploring Operation: 59-3=56, Resulting Numbers: [53, 56]
Generated Node #0,0,0: 44:[53, 56] Operation: 59-3=56
Exploring Operation: 59+3=62, Resulting Numbers: [53, 62]
Generated Node #0,0,1: 44:[53, 62] Operation: 59+3=62
Exploring Operation: 59-53=6, Resulting Numbers: [3, 6]
Generated Node #0,0,2: 44:[3, 6] Operation: 59-53=6
Exploring Operation: 53-3=50, Resulting Numbers: [59, 50]
Generated Node #0,0,3: 44:[59, 50] Operation: 53-3=50
Moving to Node #0,0,2
Current State: 44:[3, 6], Operations: ['87-34=53', '59-53=6']
Exploring Operation: 6-3=3, Resulting Numbers: [3]
3,44 unequal: No Solution
Exploring Operation: 3+6=9, Resulting Numbers: [9]
9,44 unequal: No Solution
Exploring Operation: 6/3=2, Resulting Numbers: [2]
2,44 unequal: No Solution
Exploring Operation: 3*6=18, Resulting Numbers: [18]
18,44 unequal: No Solution
Moving to Node #0,0,3
Current State: 44:[59, 50], Operations: ['87-34=53', '53-3=50']
Exploring Operation: 59*50=2950, Resulting Numbers: [2950]
2950,44 unequal: No Solution
Exploring Operation: 59+50=109, Resulting Numbers: [109]
109,44 unequal: No Solution
Exploring Operation: 59-50=9, Resulting Numbers: [9]
9,44 unequal: No Solution
Moving to Node #0,0,0
Current State: 44:[53, 56], Operations: ['87-34=53', '59-3=56']
Exploring Operation: 53*56=2968, Resulting Numbers: [2968]
2968,44 unequal: No Solution
Exploring Operation: 53+56=109, Resulting Numbers: [109]
109,44 unequal: No Solution
Exploring Operation: 56-53=3, Resulting Numbers: [3]
3,44 unequal: No Solution
Moving to Node #0,0,1
Current State: 44:[53, 62], Operations: ['87-34=53', '59+3=62']
Exploring Operation: 62-53=9, Resulting Numbers: [9]
9,44 unequal: No Solution
Exploring Operation: 53*62=3286, Resulting Numbers: [3286]
3286,44 unequal: No Solution
Exploring Operation: 53+62=115, Resulting Numbers: [115]
115,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 44:[59, 34, 29], Operations: ['87/3=29']
Exploring Operation: 34-29=5, Resulting Numbers: [59, 5]
Generated Node #0,2,0: 44:[59, 5] Operation: 34-29=5
Exploring Operation: 59-34=25, Resulting Numbers: [29, 25]
Generated Node #0,2,1: 44:[29, 25] Operation: 59-34=25
Exploring Operation: 34+29=63, Resulting Numbers: [59, 63]
Generated Node #0,2,2: 44:[59, 63] Operation: 34+29=63
Exploring Operation: 59-29=30, Resulting Numbers: [34, 30]
Generated Node #0,2,3: 44:[34, 30] Operation: 59-29=30
Moving to Node #0,2,1
Current State: 44:[29, 25], Operations: ['87/3=29', '59-34=25']
Exploring Operation: 29+25=54, Resulting Numbers: [54]
54,44 unequal: No Solution
Exploring Operation: 29*25=725, Resulting Numbers: [725]
725,44 unequal: No Solution
Exploring Operation: 29-25=4, Resulting Numbers: [4]
4,44 unequal: No Solution
Moving to Node #0,2,0
Current State: 44:[59, 5], Operations: ['87/3=29', '34-29=5']
Exploring Operation: 59-5=54, Resulting Numbers: [54]
54,44 unequal: No Solution
Exploring Operation: 59*5=295, Resulting Numbers: [295]
295,44 unequal: No Solution
Exploring Operation: 59+5=64, Resulting Numbers: [64]
64,44 unequal: No Solution
Moving to Node #0,2,3
Current State: 44:[34, 30], Operations: ['87/3=29', '59-29=30']
Exploring Operation: 34*30=1020, Resulting Numbers: [1020]
1020,44 unequal: No Solution
Exploring Operation: 34-30=4, Resulting Numbers: [4]
4,44 unequal: No Solution
Exploring Operation: 34+30=64, Resulting Numbers: [64]
64,44 unequal: No Solution
Moving to Node #0,2,2
Current State: 44:[59, 63], Operations: ['87/3=29', '34+29=63']
Exploring Operation: 63-59=4, Resulting Numbers: [4]
4,44 unequal: No Solution
Exploring Operation: 59*63=3717, Resulting Numbers: [3717]
3717,44 unequal: No Solution
Exploring Operation: 59+63=122, Resulting Numbers: [122]
122,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 44:[3, 87, 25], Operations: ['59-34=25']
Exploring Operation: 25-3=22, Resulting Numbers: [87, 22]
Generated Node #0,3,0: 44:[87, 22] Operation: 25-3=22
Exploring Operation: 87-25=62, Resulting Numbers: [3, 62]
Generated Node #0,3,1: 44:[3, 62] Operation: 87-25=62
Exploring Operation: 87-3=84, Resulting Numbers: [25, 84]
Generated Node #0,3,2: 44:[25, 84] Operation: 87-3=84
Exploring Operation: 87/3=29, Resulting Numbers: [25, 29]
Generated Node #0,3,3: 44:[25, 29] Operation: 87/3=29
Moving to Node #0,3,3
Current State: 44:[25, 29], Operations: ['59-34=25', '87/3=29']
Exploring Operation: 29-25=4, Resulting Numbers: [4]
4,44 unequal: No Solution
Exploring Operation: 25+29=54, Resulting Numbers: [54]
54,44 unequal: No Solution
Exploring Operation: 25*29=725, Resulting Numbers: [725]
725,44 unequal: No Solution
Moving to Node #0,3,1
Current State: 44:[3, 62], Operations: ['59-34=25', '87-25=62']
Exploring Operation: 3+62=65, Resulting Numbers: [65]
65,44 unequal: No Solution
Exploring Operation: 3*62=186, Resulting Numbers: [186]
186,44 unequal: No Solution
Exploring Operation: 62-3=59, Resulting Numbers: [59]
59,44 unequal: No Solution
Moving to Node #0,3,2
Current State: 44:[25, 84], Operations: ['59-34=25', '87-3=84']
Exploring Operation: 25+84=109, Resulting Numbers: [109]
109,44 unequal: No Solution
Exploring Operation: 84-25=59, Resulting Numbers: [59]
59,44 unequal: No Solution
Exploring Operation: 25*84=2100, Resulting Numbers: [2100]
2100,44 unequal: No Solution
Moving to Node #0,3,0
Current State: 44:[87, 22], Operations: ['59-34=25', '25-3=22']
Exploring Operation: 87+22=109, Resulting Numbers: [109]
109,44 unequal: No Solution
Exploring Operation: 87*22=1914, Resulting Numbers: [1914]
1914,44 unequal: No Solution
Exploring Operation: 87-22=65, Resulting Numbers: [65]
65,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
88,
18,
32,
49
] | 89 | [
"88+18=106",
"49-32=17",
"106-17=89"
] | Current State: 89:[88, 18, 32, 49], Operations: []
Exploring Operation: 88+18=106, Resulting Numbers: [32, 49, 106]
Generated Node #2: [32, 49, 106] from Operation: 88+18=106
Current State: 89:[32, 49, 106], Operations: ['88+18=106']
Exploring Operation: 49-32=17, Resulting Numbers: [106, 17]
Generated Node #3: [106, 17] from Operation: 49-32=17
Current State: 89:[106, 17], Operations: ['88+18=106', '49-32=17']
Exploring Operation: 106-17=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[88, 18, 32, 49], Operations: []
Exploring Operation: 18+49=67, Resulting Numbers: [88, 32, 67]
Generated Node #0,0: 89:[88, 32, 67] Operation: 18+49=67
Exploring Operation: 18+32=50, Resulting Numbers: [88, 49, 50]
Generated Node #0,1: 89:[88, 49, 50] Operation: 18+32=50
Moving to Node #0,0
Current State: 89:[88, 32, 67], Operations: ['18+49=67']
Exploring Operation: 88+32=120, Resulting Numbers: [67, 120]
Generated Node #0,0,0: 89:[67, 120] Operation: 88+32=120
Exploring Operation: 32+67=99, Resulting Numbers: [88, 99]
Generated Node #0,0,1: 89:[88, 99] Operation: 32+67=99
Moving to Node #0,1
Current State: 89:[88, 49, 50], Operations: ['18+32=50']
Exploring Operation: 49+50=99, Resulting Numbers: [88, 99]
Generated Node #0,1,0: 89:[88, 99] Operation: 49+50=99
Exploring Operation: 88+49=137, Resulting Numbers: [50, 137]
Generated Node #0,1,1: 89:[50, 137] Operation: 88+49=137
Moving to Node #0,0,1
Current State: 89:[88, 99], Operations: ['18+49=67', '32+67=99']
Exploring Operation: 99-88=11, Resulting Numbers: [11]
11,89 unequal: No Solution
Exploring Operation: 88+99=187, Resulting Numbers: [187]
187,89 unequal: No Solution
Moving to Node #0,1,0
Current State: 89:[88, 99], Operations: ['18+32=50', '49+50=99']
Exploring Operation: 88+99=187, Resulting Numbers: [187]
187,89 unequal: No Solution
Exploring Operation: 99-88=11, Resulting Numbers: [11]
11,89 unequal: No Solution
Moving to Node #0,0,0
Current State: 89:[67, 120], Operations: ['18+49=67', '88+32=120']
Exploring Operation: 120-67=53, Resulting Numbers: [53]
53,89 unequal: No Solution
Exploring Operation: 67+120=187, Resulting Numbers: [187]
187,89 unequal: No Solution
Moving to Node #0,1,1
Current State: 89:[50, 137], Operations: ['18+32=50', '88+49=137']
Exploring Operation: 50+137=187, Resulting Numbers: [187]
187,89 unequal: No Solution
Exploring Operation: 137-50=87, Resulting Numbers: [87]
87,89 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
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