dnomd343
/
klotski
mirror of https://github.com/dnomd343/klotski.git
1
0
Fork 0
Code Issues Projects Releases Wiki Activity
Browse Source

update: perf klotski Ranges module

master
Dnomd343 5 months ago
parent
f5c91b8084
commit
5da4ce8295
6 changed files with 78 additions and 628 deletions
Whitespace
Show all changes Ignore whitespace when comparing lines Ignore changes in amount of whitespace Ignore changes in whitespace at EOL
Split View
Diff Options
Show Stats Download Patch File Download Diff File
  1. 1
      src/core/CMakeLists.txt
  2. 62
      src/core/ranges/internal/derive.cc
  3. 55
      src/core/ranges/internal/ranges.cc
  4. 40
      src/core/ranges/internal/spawn.cc
  5. 24
      src/core/ranges/ranges.h
  6. 524
      src/core/ranges/statistics.py

1
src/core/CMakeLists.txt
View File

@ -26,6 +26,7 @@ set(KLOTSKI_CORE_SRC
group/internal/group_union.cc
group/internal/group.cc
ranges/internal/spawn.cc
ranges/internal/ranges.cc
ranges/internal/derive.cc
)

62
src/core/ranges/internal/derive.cc
View File

@ -1,7 +1,3 @@
#include <iostream>
#include <format>
#include "utils/utility.h"
#include "ranges/ranges.h"
@ -35,47 +31,8 @@ int Ranges::check(const int head, uint32_t range) {
return 0; // pass check
}
// int check_range(const int head, uint32_t range) {
// KLSK_ASSUME(head >= 0 && head < 16 && head % 4 != 3);
// uint32_t flags = 0b110011 << head; // fill 2x2 block
// for (int addr = 0, offset = 1; range; range >>= 2, ++offset) { // traverse every 2-bit
// const auto num = std::countr_one(flags);
// addr += num; // next unfilled block
// flags >>= num;
// switch (range & 0b11) {
// case 0b00: // space
// case 0b11: // 1x1 block
// flags |= 0b1;
// continue;
// case 0b01: // 1x2 block
// if (flags & 0b10 || addr % 4 == 3) { // invalid case
// return offset; // broken offset
// }
// flags |= 0b11;
// continue;
// case 0b10: // 2x1 block
// if (flags & 0b10000 || addr > 15) { // invalid case
// return offset; // broken offset
// }
// flags |= 0b10001;
// }
// }
// return 0; // pass check
// }
void Ranges::derive(const int head, Ranges &output) const {
// Ranges reversed {*this};
//
// for (auto &x : reversed) {
// x = klotski::range_reverse(x);
// }
// std::cout << "last = " << range_reverse(this->back()) << std::endl;
// auto &ranges = *this;
// uint32_t min_next = 0;
uint32_t last_val = range_reverse(this->back());
for (uint32_t index = 0; index < size(); ++index) {
@ -86,35 +43,16 @@ void Ranges::derive(const int head, Ranges &output) const {
/// +1 00 00 00 ... (delta)
tmp += range_reverse((*this)[index]) & ~(tmp - 1);
// std::cout << "min next = " << tmp << std::endl;
// if (min_next > tmp) {
// std::cout << "error" << std::endl;
// }
auto min_next = tmp;
// const int tmp = (16 - offset) * 2;
// const uint32_t min_next = ((range_reverse((*this)[index]) >> tmp) + 1) << tmp;
if (min_next > last_val) {
// std::cout << "get it" << std::endl;
break;
// return;
}
// TODO: overflow here in some type_id
// TODO: -> tmp > range[-1]
// TODO: maybe using binary search here
while (range_reverse((*this)[++index]) < min_next) {} // located next range
--index;
continue;
}
output.emplace_back(range_reverse((*this)[index])); // release valid case
}
// std::cout << "min_next = " << min_next << " | last_val = " << last_val << std::endl;
// std::cout << (min_next <= last_val) << std::endl;
}

55
src/core/ranges/internal/ranges.cc
View File

@ -1,40 +1,35 @@
#include <algorithm>
#pragma once
#include "utils/utility.h"
#include "ranges/ranges.h"
#include "common_code/common_code.h"
using klotski::cases::Ranges;
using klotski::codec::CommonCode;
using klotski::cases::RangesUnion;
template<int N>
static void build_ranges(std::vector<uint32_t> &ranges, int n_10, int n_11) {
int n_01 = N - n_10;
int n_00 = 16 - N * 2 - n_11;
inline void Ranges::reverse() {
for (auto &x : *this) {
x = range_reverse(x);
}
}
inline std::vector<CommonCode> RangesUnion::codes() const {
std::vector<CommonCode> codes;
std::array<int, 16 - N> series {};
std::fill_n(series.begin() + n_00, n_01, 0b01);
std::fill_n(series.begin() + n_00 + n_01, n_10, 0b10);
std::fill_n(series.begin() + n_00 + n_01 + n_10, n_11, 0b11);
codes.reserve(0); // TODO: cal sum
for (uint64_t head = 0; head < 16; ++head) {
if (head % 4 == 3) {
continue;
}
for (auto range : (*this)[head]) {
auto kk = head << 32 | range;
codes.emplace_back(CommonCode::unsafe_create(kk));
do {
uint32_t range = 0;
for (const auto x : series) { // store every 2-bit
(range <<= 2) |= x;
}
ranges.emplace_back(range << (N * 2));
} while (std::ranges::next_permutation(series).found);
}
void Ranges::spawn(const int n, const int n_2x1, const int n_1x1) {
KLSK_ASSUME(n >= 0 && n_2x1 >= 0 && n_1x1 >= 0);
KLSK_ASSUME(n <= 7 && n_2x1 <= n && n_1x1 + n * 2 <= 14);
switch (n) {
case 0: return build_ranges<0>(*this, n_2x1, n_1x1);
case 1: return build_ranges<1>(*this, n_2x1, n_1x1);
case 2: return build_ranges<2>(*this, n_2x1, n_1x1);
case 3: return build_ranges<3>(*this, n_2x1, n_1x1);
case 4: return build_ranges<4>(*this, n_2x1, n_1x1);
case 5: return build_ranges<5>(*this, n_2x1, n_1x1);
case 6: return build_ranges<6>(*this, n_2x1, n_1x1);
case 7: return build_ranges<7>(*this, n_2x1, n_1x1);
}
return codes;
}

40
src/core/ranges/internal/spawn.cc
View File

@ -0,0 +1,40 @@
#include <algorithm>
#include "utils/utility.h"
#include "ranges/ranges.h"
using klotski::cases::Ranges;
template<int N>
static void spawn_ranges(std::vector<uint32_t> &ranges, int n_10, int n_11) {
int n_01 = N - n_10;
int n_00 = 16 - N * 2 - n_11;
std::array<int, 16 - N> series {};
std::fill_n(series.begin() + n_00, n_01, 0b01);
std::fill_n(series.begin() + n_00 + n_01, n_10, 0b10);
std::fill_n(series.begin() + n_00 + n_01 + n_10, n_11, 0b11);
do {
uint32_t range = 0;
for (const auto x : series) { // store every 2-bit
(range <<= 2) |= x;
}
ranges.emplace_back(range << (N * 2));
} while (std::ranges::next_permutation(series).found);
}
void Ranges::spawn(const int n, const int n_2x1, const int n_1x1) {
KLSK_ASSUME(n >= 0 && n_2x1 >= 0 && n_1x1 >= 0);
KLSK_ASSUME(n <= 7 && n_2x1 <= n && n_1x1 + n * 2 <= 14);
switch (n) {
case 0: return spawn_ranges<0>(*this, n_2x1, n_1x1);
case 1: return spawn_ranges<1>(*this, n_2x1, n_1x1);
case 2: return spawn_ranges<2>(*this, n_2x1, n_1x1);
case 3: return spawn_ranges<3>(*this, n_2x1, n_1x1);
case 4: return spawn_ranges<4>(*this, n_2x1, n_1x1);
case 5: return spawn_ranges<5>(*this, n_2x1, n_1x1);
case 6: return spawn_ranges<6>(*this, n_2x1, n_1x1);
case 7: return spawn_ranges<7>(*this, n_2x1, n_1x1);
}
}

24
src/core/ranges/ranges.h
View File

@ -1,36 +1,36 @@
#pragma once
#include <array>
#include <vector>
#include <cstdint>
#include "utils/utility.h"
namespace klotski::codec {
class CommonCode;
} // namespace klotski::codec
namespace klotski::cases {
class Ranges : public std::vector<uint32_t> {
class Ranges final : public std::vector<uint32_t> {
public:
/// Spawn klotski-ranges that match the specified block numbers.
void spawn(int n, int n_2x1, int n_1x1);
/// Flip the klotski-ranges every two bits in low-high symmetry.
void reverse();
/// Derive the legal klotski-ranges with specified head.
/// Derive the legal klotski-ranges from reversed ranges with specified head.
void derive(int head, Ranges &output) const;
/// Check whether the combination of head and range is valid.
/// Check whether the combination of head and reversed range is valid.
static KLSK_INLINE int check(int head, uint32_t range);
};
// typedef std::array<Ranges, 16> RangesUnion;
class RangesUnion final : public std::array<Ranges, 16> {
std::vector<uint64_t> codes();
public:
/// Export RangesUnion as CommonCode list.
[[nodiscard]] std::vector<codec::CommonCode> codes() const;
};
inline void Ranges::reverse() {
for (auto &x : *this) {
x = range_reverse(x);
}
}
} // namespace klotski::cases

524
src/core/ranges/statistics.py
View File

@ -1,524 +0,0 @@
#!/usr/bin/env python3
def load():
lines = open('tmp.txt').read().splitlines()
tmp = [x.split(' ') for x in lines]
data = [(int(x[0]), int(x[1]), int(x[2])) for x in tmp]
return data
def statis(data: list[tuple[int, int]]):
# data -> (distance, offset)
distances = sorted({x[0] for x in data})
for distance in distances:
all_offsets = [x[1] for x in data if x[0] == distance]
offsets = sorted(set(all_offsets))
# print(distance, offsets)
# for offset in offsets:
# print(offset, all_offsets.count(offset))
offset_num = {x: all_offsets.count(x) for x in offsets}
print(f'{distance} -> {offset_num}')
if __name__ == '__main__':
raw_data = load()
for head in range(16):
if head % 4 == 3:
continue
print(f'head = {head}')
statis([(x[1], x[2]) for x in raw_data])
# statis([(x[1], x[2]) for x in raw_data if x[0] == head])
print()
"""
0 -> {7: 177, 8: 2619, 9: 21087, 10: 156415, 11: 756356, 12: 1755849, 13: 1981898, 14: 1057653, 15: 212797}
1 -> {9: 18544, 10: 192582, 11: 596880, 12: 785128, 13: 460136, 14: 98136}
2 -> {8: 3578, 9: 15480, 10: 18792, 11: 8920, 12: 1760, 13: 120}
3 -> {7: 498, 8: 1963, 9: 2215, 10: 1000, 11: 192, 12: 13}
4 -> {8: 67}
5 -> {8: 1722, 9: 42570, 10: 178524, 11: 275405, 12: 178288, 13: 40830}
8 -> {7: 8}
10 -> {7: 490, 8: 5889, 9: 11075, 10: 7000, 11: 1728, 12: 143}
13 -> {6: 1}
15 -> {8: 7852, 9: 57590, 10: 120000, 11: 96384, 12: 26468}
16 -> {6: 50, 7: 433, 8: 625, 9: 297, 10: 53, 11: 3}
32 -> {7: 866, 8: 2500, 9: 1782, 10: 424, 11: 30}
42 -> {7: 23}
43 -> {7: 410, 8: 6875, 9: 16929, 10: 13091, 11: 3039}
57 -> {6: 189, 7: 457, 8: 295, 9: 68, 10: 5}
95 -> {6: 7}
98 -> {6: 182, 7: 1371, 8: 1475, 9: 476, 10: 45}
119 -> {7: 1828, 8: 7670, 9: 8160, 10: 2510}
184 -> {5: 1}
190 -> {5: 52, 6: 276, 7: 221, 8: 47, 9: 2}
284 -> {6: 552, 7: 884, 8: 282, 9: 16}
326 -> {6: 10}
327 -> {6: 266, 7: 2431, 8: 2679, 9: 494}
591 -> {5: 162, 6: 269, 7: 112, 8: 13}
806 -> {5: 6}
810 -> {5: 156, 6: 807, 7: 560, 8: 91}
895 -> {6: 1076, 7: 2912, 8: 1560}
1784 -> {4: 18, 5: 73, 6: 32, 7: 3}
2276 -> {5: 146, 6: 128, 7: 18}
2446 -> {5: 9}
2447 -> {5: 64, 6: 352, 7: 171}
5245 -> {4: 51, 5: 33, 6: 5}
6341 -> {4: 1}
6346 -> {4: 50, 5: 99, 6: 25}
6687 -> {5: 132, 6: 130}
15147 -> {3: 1}
15162 -> {3: 20, 4: 33, 5: 2}
17588 -> {4: 66, 5: 8}
18270 -> {4: 2}
18271 -> {4: 31, 5: 22}
43243 -> {3: 31, 4: 13}
48548 -> {3: 3}
48554 -> {3: 28, 4: 39}
49919 -> {4: 52}
122103 -> {2: 1}
122124 -> {2: 5, 3: 3}
133652 -> {3: 6}
136382 -> {3: 2}
136383 -> {3: 1}
342265 -> {2: 5}
367139 -> {2: 2}
367146 -> {2: 3}
953634 -> {1: 1}
953662 -> {1: 1}
"""
"""
head = 0
0 -> {7: 24, 8: 357, 9: 2834, 10: 19468, 11: 85928, 12: 181284, 13: 185611, 14: 89839, 15: 16369}
1 -> {9: 2548, 10: 23998, 11: 67680, 12: 80822, 13: 42756, 14: 8178}
2 -> {8: 460, 9: 1932, 10: 2262, 11: 1024, 12: 190, 13: 12}
3 -> {7: 46, 8: 161, 9: 177, 10: 79, 11: 15, 12: 1}
4 -> {8: 8}
5 -> {8: 222, 9: 5313, 10: 21489, 11: 31616, 12: 19247, 13: 4083}
10 -> {7: 46, 8: 483, 9: 885, 10: 553, 11: 135, 12: 11}
15 -> {8: 644, 9: 4602, 10: 9480, 11: 7530, 12: 2036}
16 -> {6: 2, 7: 20, 8: 25, 9: 9, 10: 1}
32 -> {7: 40, 8: 100, 9: 54, 10: 8}
43 -> {7: 20, 8: 275, 9: 513, 10: 247}
57 -> {6: 13, 7: 25, 8: 10, 9: 1}
98 -> {6: 13, 7: 75, 8: 50, 9: 7}
119 -> {7: 100, 8: 260, 9: 120}
190 -> {5: 5, 6: 23, 7: 18, 8: 3}
284 -> {6: 46, 7: 72, 8: 18}
327 -> {6: 23, 7: 198, 8: 171}
591 -> {5: 11, 6: 18, 7: 8, 8: 1}
810 -> {5: 11, 6: 54, 7: 40, 8: 7}
895 -> {6: 72, 7: 208, 8: 120}
1784 -> {5: 2, 6: 1}
2276 -> {5: 4, 6: 4}
2447 -> {5: 2, 6: 11}
15162 -> {3: 1, 4: 1}
17588 -> {4: 2}
18271 -> {4: 1}
43243 -> {3: 3, 4: 1}
48554 -> {3: 3, 4: 3}
49919 -> {4: 4}
122124 -> {2: 1}
342265 -> {2: 1}
367146 -> {2: 1}
head = 1
0 -> {7: 9, 8: 165, 9: 1464, 10: 10920, 11: 54215, 12: 130359, 13: 151147, 14: 81673, 15: 16369}
1 -> {9: 1320, 10: 14456, 11: 47280, 12: 64758, 13: 38684, 14: 8178}
2 -> {8: 226, 9: 1104, 10: 1518, 11: 800, 12: 170, 13: 12}
3 -> {7: 21, 8: 88, 9: 113, 10: 59, 11: 13, 12: 1}
4 -> {8: 8}
5 -> {8: 105, 9: 3036, 10: 14421, 11: 24700, 12: 17221, 13: 4083}
10 -> {7: 21, 8: 264, 9: 565, 10: 413, 11: 117, 12: 11}
15 -> {8: 352, 9: 2938, 10: 7080, 11: 6526, 12: 2036}
16 -> {6: 1, 7: 12, 8: 18, 9: 8, 10: 1}
32 -> {7: 24, 8: 72, 9: 48, 10: 8}
43 -> {7: 12, 8: 198, 9: 456, 10: 247}
57 -> {6: 7, 7: 15, 8: 8, 9: 1}
98 -> {6: 7, 7: 45, 8: 40, 9: 7}
119 -> {7: 60, 8: 208, 9: 120}
190 -> {5: 2, 6: 12, 7: 12, 8: 3}
284 -> {6: 24, 7: 48, 8: 18}
327 -> {6: 12, 7: 132, 8: 171}
591 -> {5: 4, 6: 10, 7: 6, 8: 1}
810 -> {5: 4, 6: 30, 7: 30, 8: 7}
895 -> {6: 40, 7: 156, 8: 120}
15162 -> {4: 1}
17588 -> {4: 2}
18271 -> {4: 1}
43243 -> {3: 2, 4: 1}
48554 -> {3: 2, 4: 3}
49919 -> {4: 4}
122124 -> {2: 1, 3: 1}
133652 -> {3: 2}
136383 -> {3: 1}
342265 -> {2: 1}
367146 -> {2: 1}
953662 -> {1: 1}
head = 2
0 -> {7: 24, 8: 359, 9: 2838, 10: 19461, 11: 85764, 12: 181037, 13: 185611, 14: 89839, 15: 16369}
1 -> {9: 2556, 10: 24076, 11: 67800, 12: 80822, 13: 42756, 14: 8178}
2 -> {8: 460, 9: 1932, 10: 2262, 11: 1024, 12: 190, 13: 12}
3 -> {7: 44, 8: 165, 9: 179, 10: 79, 11: 15, 12: 1}
4 -> {8: 8}
5 -> {8: 222, 9: 5313, 10: 21489, 11: 31616, 12: 19247, 13: 4083}
10 -> {7: 44, 8: 495, 9: 895, 10: 553, 11: 135, 12: 11}
15 -> {8: 660, 9: 4654, 10: 9480, 11: 7530, 12: 2036}
16 -> {6: 2, 7: 19, 8: 27, 9: 10, 10: 1}
32 -> {7: 38, 8: 108, 9: 60, 10: 8}
43 -> {7: 19, 8: 297, 9: 570, 10: 247}
57 -> {6: 14, 7: 23, 8: 9, 9: 1}
98 -> {6: 14, 7: 69, 8: 45, 9: 7}
119 -> {7: 92, 8: 234, 9: 120}
190 -> {5: 5, 6: 23, 7: 18, 8: 3}
284 -> {6: 46, 7: 72, 8: 18}
327 -> {6: 23, 7: 198, 8: 171}
591 -> {5: 7, 6: 16, 7: 8, 8: 1}
810 -> {5: 7, 6: 48, 7: 40, 8: 7}
895 -> {6: 64, 7: 208, 8: 120}
5245 -> {4: 2, 5: 1}
6346 -> {4: 2, 5: 3}
6687 -> {5: 4}
15162 -> {3: 1, 4: 1}
17588 -> {4: 2}
18271 -> {4: 1}
43243 -> {3: 3, 4: 1}
48554 -> {3: 3, 4: 3}
49919 -> {4: 4}
122124 -> {2: 1}
342265 -> {2: 1}
367146 -> {2: 1}
head = 4
0 -> {7: 13, 8: 186, 9: 1638, 10: 12049, 11: 58254, 12: 135573, 13: 153173, 14: 81673, 15: 16369}
1 -> {9: 1464, 10: 15808, 11: 50040, 12: 66264, 13: 38684, 14: 8178}
2 -> {8: 244, 9: 1172, 10: 1584, 11: 816, 12: 170, 13: 12}
3 -> {7: 21, 8: 92, 9: 115, 10: 59, 11: 13, 12: 1}
5 -> {8: 122, 9: 3223, 10: 15048, 11: 25194, 12: 17221, 13: 4083}
10 -> {7: 21, 8: 276, 9: 575, 10: 413, 11: 117, 12: 11}
15 -> {8: 368, 9: 2990, 10: 7080, 11: 6526, 12: 2036}
16 -> {7: 4, 8: 12, 9: 7, 10: 1}
32 -> {7: 8, 8: 48, 9: 42, 10: 8}
43 -> {7: 4, 8: 132, 9: 399, 10: 247}
190 -> {5: 2, 6: 8, 7: 6, 8: 1}
284 -> {6: 16, 7: 24, 8: 6}
327 -> {6: 8, 7: 66, 8: 57}
591 -> {5: 7, 6: 16, 7: 8, 8: 1}
810 -> {5: 7, 6: 48, 7: 40, 8: 7}
895 -> {6: 64, 7: 208, 8: 120}
1784 -> {4: 1, 5: 3, 6: 1}
2276 -> {5: 6, 6: 4}
2447 -> {5: 3, 6: 11}
5245 -> {4: 4, 5: 5, 6: 1}
6346 -> {4: 4, 5: 15, 6: 5}
6687 -> {5: 20, 6: 26}
15162 -> {3: 1, 4: 1}
17588 -> {4: 2}
18271 -> {4: 1}
43243 -> {3: 2, 4: 1}
48554 -> {3: 2, 4: 3}
49919 -> {4: 4}
342265 -> {2: 1}
367139 -> {2: 1}
953634 -> {1: 1}
head = 5
0 -> {7: 5, 8: 124, 9: 1161, 10: 8742, 11: 43440, 12: 105459, 13: 126813, 14: 73507, 15: 16369}
1 -> {9: 1044, 10: 11492, 11: 37800, 12: 53714, 13: 34612, 14: 8178}
2 -> {8: 162, 9: 840, 10: 1176, 11: 648, 12: 150, 13: 12}
3 -> {7: 11, 8: 55, 9: 77, 10: 44, 11: 11, 12: 1}
5 -> {8: 81, 9: 2310, 10: 11172, 11: 20007, 12: 15195, 13: 4083}
10 -> {7: 11, 8: 165, 9: 385, 10: 308, 11: 99, 12: 11}
15 -> {8: 220, 9: 2002, 10: 5280, 11: 5522, 12: 2036}
190 -> {5: 1, 6: 6, 7: 5, 8: 1}
284 -> {6: 12, 7: 20, 8: 6}
327 -> {6: 6, 7: 55, 8: 57}
591 -> {5: 7, 6: 14, 7: 7, 8: 1}
810 -> {5: 7, 6: 42, 7: 35, 8: 7}
895 -> {6: 56, 7: 182, 8: 120}
1784 -> {4: 2, 5: 9, 6: 6, 7: 1}
2276 -> {5: 18, 6: 24, 7: 6}
2447 -> {5: 9, 6: 66, 7: 57}
5245 -> {4: 5, 5: 5, 6: 1}
6346 -> {4: 5, 5: 15, 6: 5}
6687 -> {5: 20, 6: 26}
15162 -> {3: 2, 4: 4, 5: 1}
17588 -> {4: 8, 5: 4}
18271 -> {4: 4, 5: 11}
43243 -> {3: 3, 4: 1}
48548 -> {3: 1}
48554 -> {3: 2, 4: 3}
49919 -> {4: 4}
122103 -> {2: 1}
122124 -> {2: 1, 3: 1}
133652 -> {3: 2}
136382 -> {3: 1}
342265 -> {2: 1}
367139 -> {2: 1}
head = 6
0 -> {7: 13, 8: 189, 9: 1635, 10: 11994, 11: 58832, 12: 137293, 13: 154186, 14: 81673, 15: 16369}
1 -> {9: 1464, 10: 15522, 11: 49200, 12: 65762, 13: 38684, 14: 8178}
2 -> {8: 244, 9: 1172, 10: 1584, 11: 816, 12: 170, 13: 12}
3 -> {7: 13, 8: 68, 9: 101, 10: 57, 11: 13, 12: 1}
5 -> {8: 122, 9: 3223, 10: 15048, 11: 25194, 12: 17221, 13: 4083}
10 -> {7: 13, 8: 204, 9: 505, 10: 399, 11: 117, 12: 11}
15 -> {8: 272, 9: 2626, 10: 6840, 11: 6526, 12: 2036}
57 -> {6: 4, 7: 12, 8: 7, 9: 1}
98 -> {6: 4, 7: 36, 8: 35, 9: 7}
119 -> {7: 48, 8: 182, 9: 120}
190 -> {5: 2, 6: 8, 7: 6, 8: 1}
284 -> {6: 16, 7: 24, 8: 6}
327 -> {6: 8, 7: 66, 8: 57}
591 -> {5: 7, 6: 16, 7: 8, 8: 1}
810 -> {5: 7, 6: 48, 7: 40, 8: 7}
895 -> {6: 64, 7: 208, 8: 120}
1784 -> {4: 1, 5: 3, 6: 1}
2276 -> {5: 6, 6: 4}
2447 -> {5: 3, 6: 11}
5245 -> {4: 6, 5: 5, 6: 1}
6341 -> {4: 1}
6346 -> {4: 5, 5: 15, 6: 5}
6687 -> {5: 20, 6: 26}
15147 -> {3: 1}
15162 -> {3: 2, 4: 4}
17588 -> {4: 8}
18270 -> {4: 2}
18271 -> {4: 2}
43243 -> {3: 6, 4: 2}
48548 -> {3: 2}
48554 -> {3: 4, 4: 6}
49919 -> {4: 8}
122124 -> {2: 1, 3: 1}
133652 -> {3: 2}
136382 -> {3: 1}
head = 8
0 -> {7: 18, 8: 204, 9: 1439, 10: 10794, 11: 54722, 12: 131998, 13: 152149, 14: 81673, 15: 16369}
1 -> {9: 1172, 10: 13130, 11: 43200, 12: 59738, 13: 36648, 14: 8178}
2 -> {8: 320, 9: 1368, 10: 1698, 11: 832, 12: 170, 13: 12}
3 -> {7: 30, 8: 133, 9: 163, 10: 77, 11: 15, 12: 1}
4 -> {8: 8}
5 -> {8: 152, 9: 3762, 10: 16131, 11: 25688, 12: 17221, 13: 4083}
10 -> {7: 30, 8: 399, 9: 815, 10: 539, 11: 135, 12: 11}
15 -> {8: 532, 9: 4238, 10: 9240, 11: 7530, 12: 2036}
16 -> {6: 5, 7: 26, 8: 29, 9: 10, 10: 1}
32 -> {7: 52, 8: 116, 9: 60, 10: 8}
43 -> {7: 26, 8: 319, 9: 570, 10: 247}
57 -> {6: 18, 7: 55, 8: 44, 9: 12, 10: 1}
98 -> {6: 18, 7: 165, 8: 220, 9: 84, 10: 9}
119 -> {7: 220, 8: 1144, 9: 1440, 10: 502}
190 -> {5: 2, 6: 8, 7: 6, 8: 1}
284 -> {6: 16, 7: 24, 8: 6}
327 -> {6: 8, 7: 66, 8: 57}
591 -> {5: 17, 6: 23, 7: 9, 8: 1}
806 -> {5: 2}
810 -> {5: 15, 6: 69, 7: 45, 8: 7}
895 -> {6: 92, 7: 234, 8: 120}
1784 -> {4: 3, 5: 12, 6: 3}
2276 -> {5: 24, 6: 12}
2446 -> {5: 5}
2447 -> {5: 7, 6: 33}
5245 -> {4: 11, 5: 8, 6: 1}
6346 -> {4: 11, 5: 24, 6: 5}
6687 -> {5: 32, 6: 26}
15162 -> {3: 3, 4: 6, 5: 1}
17588 -> {4: 12, 5: 4}
18271 -> {4: 6, 5: 11}
43243 -> {3: 2, 4: 1}
48554 -> {3: 2, 4: 3}
49919 -> {4: 4}
head = 9
0 -> {7: 5, 8: 103, 9: 863, 10: 6189, 11: 32410, 12: 85591, 13: 111607, 14: 69424, 15: 16369}
1 -> {9: 748, 10: 8866, 11: 31440, 12: 47690, 13: 32576, 14: 8178}
2 -> {8: 154, 9: 812, 10: 1164, 11: 648, 12: 150, 13: 12}
3 -> {7: 25, 8: 110, 9: 138, 10: 68, 11: 14, 12: 1}
4 -> {8: 8}
5 -> {8: 69, 9: 2233, 10: 11058, 11: 20007, 12: 15195, 13: 4083}
10 -> {7: 25, 8: 330, 9: 690, 10: 476, 11: 126, 12: 11}
15 -> {8: 440, 9: 3588, 10: 8160, 11: 7028, 12: 2036}
16 -> {6: 6, 7: 52, 8: 93, 9: 56, 10: 13, 11: 1}
32 -> {7: 104, 8: 372, 9: 336, 10: 104, 11: 10}
43 -> {7: 52, 8: 1023, 9: 3192, 10: 3211, 11: 1013}
57 -> {6: 19, 7: 58, 8: 45, 9: 12, 10: 1}
98 -> {6: 19, 7: 174, 8: 225, 9: 84, 10: 9}
119 -> {7: 232, 8: 1170, 9: 1440, 10: 502}
190 -> {5: 8, 6: 41, 7: 37, 8: 11, 9: 1}
284 -> {6: 82, 7: 148, 8: 66, 9: 8}
326 -> {6: 2}
327 -> {6: 39, 7: 407, 8: 627, 9: 247}
591 -> {5: 26, 6: 35, 7: 11, 8: 1}
806 -> {5: 2}
810 -> {5: 24, 6: 105, 7: 55, 8: 7}
895 -> {6: 140, 7: 286, 8: 120}
1784 -> {4: 5, 5: 20, 6: 10, 7: 1}
2276 -> {5: 40, 6: 40, 7: 6}
2446 -> {5: 3}
2447 -> {5: 17, 6: 110, 7: 57}
5245 -> {4: 7, 5: 5, 6: 1}
6346 -> {4: 7, 5: 15, 6: 5}
6687 -> {5: 20, 6: 26}
15162 -> {3: 2, 4: 3}
17588 -> {4: 6}
18271 -> {4: 3}
43243 -> {3: 2, 4: 1}
48554 -> {3: 2, 4: 3}
49919 -> {4: 4}
head = 10
0 -> {7: 18, 8: 222, 9: 1694, 10: 10423, 11: 48002, 12: 115822, 13: 137978, 14: 77590, 15: 16369}
1 -> {9: 1536, 10: 16406, 11: 51120, 12: 66766, 13: 38684, 14: 8178}
2 -> {8: 320, 9: 1368, 10: 1698, 11: 832, 12: 170, 13: 12}
3 -> {7: 30, 8: 133, 9: 163, 10: 77, 11: 15, 12: 1}
4 -> {8: 8}
5 -> {8: 152, 9: 3762, 10: 16131, 11: 25688, 12: 17221, 13: 4083}
10 -> {7: 30, 8: 399, 9: 815, 10: 539, 11: 135, 12: 11}
15 -> {8: 532, 9: 4238, 10: 9240, 11: 7530, 12: 2036}
16 -> {6: 5, 7: 26, 8: 29, 9: 10, 10: 1}
32 -> {7: 52, 8: 116, 9: 60, 10: 8}
43 -> {7: 26, 8: 319, 9: 570, 10: 247}
57 -> {6: 26, 7: 65, 8: 46, 9: 12, 10: 1}
98 -> {6: 26, 7: 195, 8: 230, 9: 84, 10: 9}
119 -> {7: 260, 8: 1196, 9: 1440, 10: 502}
190 -> {5: 6, 6: 40, 7: 27, 8: 4}
284 -> {6: 80, 7: 108, 8: 24}
326 -> {6: 4}
327 -> {6: 36, 7: 297, 8: 228}
591 -> {5: 31, 6: 52, 7: 20, 8: 2}
806 -> {5: 2}
810 -> {5: 29, 6: 156, 7: 100, 8: 14}
895 -> {6: 208, 7: 520, 8: 240}
1784 -> {4: 3, 5: 12, 6: 7, 7: 1}
2276 -> {5: 24, 6: 28, 7: 6}
2446 -> {5: 1}
2447 -> {5: 11, 6: 77, 7: 57}
5245 -> {4: 4, 5: 1}
6346 -> {4: 4, 5: 3}
6687 -> {5: 4}
15162 -> {3: 2, 4: 3}
17588 -> {4: 6}
18271 -> {4: 3}
43243 -> {3: 2, 4: 1}
48554 -> {3: 2, 4: 3}
49919 -> {4: 4}
head = 12
0 -> {7: 7, 8: 109, 9: 1467, 10: 14381, 11: 69851, 12: 155802, 13: 168367, 14: 85756, 15: 16369}
1 -> {9: 1368, 10: 15236, 11: 49080, 12: 65762, 13: 38684, 14: 8178}
2 -> {8: 104, 9: 360, 10: 330, 11: 104, 12: 10}
3 -> {7: 53, 8: 199, 9: 210, 10: 89, 11: 16, 12: 1}
5 -> {8: 52, 9: 990, 10: 3135, 11: 3211, 12: 1013}
10 -> {7: 53, 8: 597, 9: 1050, 10: 623, 11: 144, 12: 11}
15 -> {8: 796, 9: 5460, 10: 10680, 11: 8032, 12: 2036}
16 -> {6: 6, 7: 69, 8: 85, 9: 30, 10: 3}
32 -> {7: 138, 8: 340, 9: 180, 10: 24}
42 -> {7: 7}
43 -> {7: 62, 8: 935, 9: 1710, 10: 741}
57 -> {6: 46, 7: 110, 8: 69, 9: 15, 10: 1}
95 -> {6: 5}
98 -> {6: 41, 7: 330, 8: 345, 9: 105, 10: 9}
119 -> {7: 440, 8: 1794, 9: 1800, 10: 502}
184 -> {5: 1}
190 -> {5: 9, 6: 53, 7: 48, 8: 13, 9: 1}
284 -> {6: 106, 7: 192, 8: 78, 9: 8}
326 -> {6: 4}
327 -> {6: 49, 7: 528, 8: 741, 9: 247}
591 -> {5: 15, 6: 23, 7: 9, 8: 1}
810 -> {5: 15, 6: 69, 7: 45, 8: 7}
895 -> {6: 92, 7: 234, 8: 120}
1784 -> {4: 1, 5: 4, 6: 1}
2276 -> {5: 8, 6: 4}
2447 -> {5: 4, 6: 11}
5245 -> {4: 4, 5: 1}
6346 -> {4: 4, 5: 3}
6687 -> {5: 4}
15162 -> {3: 2, 4: 3}
17588 -> {4: 6}
18271 -> {4: 3}
43243 -> {3: 2, 4: 1}
48554 -> {3: 2, 4: 3}
49919 -> {4: 4}
head = 13
0 -> {7: 21, 8: 281, 9: 1934, 10: 16983, 11: 94877, 12: 239808, 13: 286889, 14: 159250, 15: 32738}
1 -> {9: 1516, 10: 16068, 11: 50280, 12: 66264, 13: 38684, 14: 8178}
2 -> {8: 424, 9: 1768, 10: 2046, 11: 936, 12: 180, 13: 12}
3 -> {7: 90, 8: 315, 9: 303, 10: 114, 11: 18, 12: 1}
4 -> {8: 3}
5 -> {8: 209, 9: 4862, 10: 19437, 11: 28899, 12: 18234, 13: 4083}
8 -> {7: 4}
10 -> {7: 86, 8: 945, 9: 1515, 10: 798, 11: 162, 12: 11}
13 -> {6: 1}
15 -> {8: 1260, 9: 7878, 10: 13680, 11: 9036, 12: 2036}
16 -> {6: 14, 7: 128, 8: 188, 9: 92, 10: 17, 11: 1}
32 -> {7: 256, 8: 752, 9: 552, 10: 136, 11: 10}
42 -> {7: 12}
43 -> {7: 116, 8: 2068, 9: 5244, 10: 4199, 11: 1013}
57 -> {6: 27, 7: 68, 8: 47, 9: 12, 10: 1}
95 -> {6: 2}
98 -> {6: 25, 7: 204, 8: 235, 9: 84, 10: 9}
119 -> {7: 272, 8: 1222, 9: 1440, 10: 502}
190 -> {5: 5, 6: 27, 7: 19, 8: 3}
284 -> {6: 54, 7: 76, 8: 18}
327 -> {6: 27, 7: 209, 8: 171}
591 -> {5: 15, 6: 23, 7: 9, 8: 1}
810 -> {5: 15, 6: 69, 7: 45, 8: 7}
895 -> {6: 92, 7: 234, 8: 120}
1784 -> {4: 1, 5: 4, 6: 1}
2276 -> {5: 8, 6: 4}
2447 -> {5: 4, 6: 11}
5245 -> {4: 4, 5: 1}
6346 -> {4: 4, 5: 3}
6687 -> {5: 4}
15162 -> {3: 2, 4: 3}
17588 -> {4: 6}
18271 -> {4: 3}
43243 -> {3: 2, 4: 1}
48554 -> {3: 2, 4: 3}
49919 -> {4: 4}
head = 14
0 -> {7: 20, 8: 320, 9: 2120, 10: 15011, 11: 70061, 12: 155823, 13: 168367, 14: 85756, 15: 16369}
1 -> {9: 1808, 10: 17524, 11: 51960, 12: 66766, 13: 38684, 14: 8178}
2 -> {8: 460, 9: 1652, 10: 1470, 11: 440, 12: 40}
3 -> {7: 114, 8: 444, 9: 476, 10: 198, 11: 34, 12: 2}
4 -> {8: 16}
5 -> {8: 214, 9: 4543, 10: 13965, 11: 13585, 12: 4052}
8 -> {7: 4}
10 -> {7: 110, 8: 1332, 9: 2380, 10: 1386, 11: 306, 12: 22}
15 -> {8: 1776, 9: 12376, 10: 23760, 11: 17068, 12: 4072}
16 -> {6: 9, 7: 77, 8: 119, 9: 65, 10: 14, 11: 1}
32 -> {7: 154, 8: 476, 9: 390, 10: 112, 11: 10}
42 -> {7: 4}
43 -> {7: 73, 8: 1309, 9: 3705, 10: 3458, 11: 1013}
57 -> {6: 15, 7: 26, 8: 10, 9: 1}
98 -> {6: 15, 7: 78, 8: 50, 9: 7}
119 -> {7: 104, 8: 260, 9: 120}
190 -> {5: 5, 6: 27, 7: 19, 8: 3}
284 -> {6: 54, 7: 76, 8: 18}
327 -> {6: 27, 7: 209, 8: 171}
591 -> {5: 15, 6: 23, 7: 9, 8: 1}
810 -> {5: 15, 6: 69, 7: 45, 8: 7}
895 -> {6: 92, 7: 234, 8: 120}
1784 -> {4: 1, 5: 4, 6: 1}
2276 -> {5: 8, 6: 4}
2447 -> {5: 4, 6: 11}
5245 -> {4: 4, 5: 1}
6346 -> {4: 4, 5: 3}
6687 -> {5: 4}
15162 -> {3: 2, 4: 3}
17588 -> {4: 6}
18271 -> {4: 3}
43243 -> {3: 2, 4: 1}
48554 -> {3: 2, 4: 3}
49919 -> {4: 4}
"""
Write Preview
Loading…
Cancel
Save