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QOJ
ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#444123 | #8529. Balance of Permutation | ucup-team3890# | AC ✓ | 391ms | 20120kb | C++20 | 2.3kb | 2024-06-15 17:25:11 | 2024-06-15 17:25:11 |
Judging History
answer
#include <iostream>
using LLL = __int128_t;
int n, b;
LLL k;
void read(LLL &x){
// read a __int128 variable
char c; bool f = 0;
while(((c = getchar()) < '0' || c > '9') && c != '-');
if(c == '-'){f = 1; c = getchar();}
x = c - '0';
while((c = getchar()) >= '0' && c <= '9')x = x * 10 + c - '0';
if(f) x = -x;
}
bool el[37], er[37];
int ul[37], ur[37];
LLL dp[37][37][907];
void DP() {
for (int i = 0; i <= n; ++i) {
for (int j = 0; j <= i; ++j) {
for (int k = 0; k <= i * i; ++k) {
dp[i][j][k] = 0;
}
}
}
dp[0][0][0] = 1;
for (int i = 1; i <= n; ++i) {
ul[i] = ul[i - 1] + el[i], ur[i] = ur[i - 1] + er[i];
}
for (int i = 0; i < n; ++i) {
for (int j = 0; j <= i; ++j) {
for (int k = 0; k <= i * i; ++k) {
int lc = j, rc = ur[i] - (ul[i] - j);
int kk = k + lc + rc;
// 左部右部都不匹配
dp[i + 1][lc + el[i + 1]][kk] += dp[i][j][k];
if (el[i + 1] && rc) {
// 选右部一个线头和左部的 i + 1 匹配,右部 i + 1 不匹配
dp[i + 1][lc][kk] += dp[i][j][k] * rc;
}
if (er[i + 1] && lc) {
// 选左部一个线头和右部的 i + 1 匹配,左部 i + 1 不匹配
dp[i + 1][lc - 1 + el[i + 1]][kk] += dp[i][j][k] * lc;
}
if (el[i + 1] && er[i + 1]) {
if (lc && rc) {
// 选左部一个线头和右部的 i + 1 匹配,选右部一个线头和左部的 i + 1 匹配
dp[i + 1][lc - 1][kk] += dp[i][j][k] * lc * rc;
}
// 左部和右部匹配
dp[i + 1][lc][kk] += dp[i][j][k];
}
}
}
}
}
int p[37];
LLL prefix[37];
int main() {
std::cin >> n >> b, read(k);
for (int i = 1; i <= n; ++i) {
el[i] = er[i] = 1;
}
for (int i = 1; i <= n; ++i) {
el[i] = 0;
for (int j = 1; j <= n; ++j) {
prefix[j] = prefix[j - 1];
if (er[j] == 0 || std::abs(i - j) > b) {
continue;
}
er[j] = 0;
DP();
prefix[j] += dp[n][0][b - std::abs(i - j)];
if (k <= prefix[j]) {
p[i] = j;
k -= prefix[j - 1], b -= std::abs(i - j);
break;
}
er[j] = 1;
}
}
for (int i = 1; i <= n; ++i) {
std::cout << p[i] << ' ';
}
std::cout << '\n';
return 0;
}
详细
Test #1:
score: 100
Accepted
time: 1ms
memory: 7724kb
input:
6 6 6
output:
1 2 6 3 4 5
result:
ok 6 numbers
Test #2:
score: 0
Accepted
time: 251ms
memory: 20052kb
input:
30 300 3030303030303030303030
output:
1 2 3 4 9 23 20 28 24 16 21 17 27 29 8 26 25 30 19 18 22 12 7 13 6 10 5 15 14 11
result:
ok 30 numbers
Test #3:
score: 0
Accepted
time: 0ms
memory: 3552kb
input:
1 0 1
output:
1
result:
ok 1 number(s): "1"
Test #4:
score: 0
Accepted
time: 1ms
memory: 5668kb
input:
2 0 1
output:
1 2
result:
ok 2 number(s): "1 2"
Test #5:
score: 0
Accepted
time: 1ms
memory: 5672kb
input:
2 2 1
output:
2 1
result:
ok 2 number(s): "2 1"
Test #6:
score: 0
Accepted
time: 1ms
memory: 5756kb
input:
5 8 3
output:
1 5 4 2 3
result:
ok 5 number(s): "1 5 4 2 3"
Test #7:
score: 0
Accepted
time: 1ms
memory: 7708kb
input:
7 20 100
output:
3 6 7 4 1 5 2
result:
ok 7 numbers
Test #8:
score: 0
Accepted
time: 1ms
memory: 7728kb
input:
7 2 6
output:
2 1 3 4 5 6 7
result:
ok 7 numbers
Test #9:
score: 0
Accepted
time: 0ms
memory: 7644kb
input:
7 24 1
output:
4 5 6 7 1 2 3
result:
ok 7 numbers
Test #10:
score: 0
Accepted
time: 0ms
memory: 7792kb
input:
7 22 360
output:
7 6 4 3 5 2 1
result:
ok 7 numbers
Test #11:
score: 0
Accepted
time: 1ms
memory: 7712kb
input:
7 20 358
output:
5 7 2 4 6 3 1
result:
ok 7 numbers
Test #12:
score: 0
Accepted
time: 1ms
memory: 7724kb
input:
10 48 10001
output:
7 5 8 9 6 10 3 4 1 2
result:
ok 10 numbers
Test #13:
score: 0
Accepted
time: 2ms
memory: 9840kb
input:
10 42 10101
output:
3 9 6 8 10 5 7 2 1 4
result:
ok 10 numbers
Test #14:
score: 0
Accepted
time: 95ms
memory: 17884kb
input:
25 300 1
output:
7 14 15 16 17 18 19 20 21 22 23 24 25 1 2 3 4 5 6 8 9 10 11 12 13
result:
ok 25 numbers
Test #15:
score: 0
Accepted
time: 132ms
memory: 17904kb
input:
25 300 283788388040048639877
output:
25 24 23 22 21 20 19 18 17 16 11 12 13 14 15 10 9 8 7 5 6 4 2 1 3
result:
ok 25 numbers
Test #16:
score: 0
Accepted
time: 150ms
memory: 17912kb
input:
26 302 105773752969551707419545
output:
19 22 25 13 17 18 23 20 10 26 16 6 5 11 14 12 24 4 3 21 1 15 7 8 2 9
result:
ok 26 numbers
Test #17:
score: 0
Accepted
time: 167ms
memory: 17920kb
input:
27 308 8781128321749037280676555
output:
16 18 17 21 25 6 20 24 22 15 27 5 7 8 2 9 26 13 1 3 14 10 23 19 4 11 12
result:
ok 27 numbers
Test #18:
score: 0
Accepted
time: 203ms
memory: 19928kb
input:
28 304 806517199954337651602356955
output:
12 17 5 16 23 26 25 15 20 2 19 7 22 24 6 13 11 10 28 8 1 21 18 14 27 3 4 9
result:
ok 28 numbers
Test #19:
score: 0
Accepted
time: 244ms
memory: 20004kb
input:
29 322 40281026669581503094652149519
output:
16 21 10 25 17 29 9 28 2 8 26 27 22 4 3 5 18 14 19 1 23 20 15 11 13 7 6 12 24
result:
ok 29 numbers
Test #20:
score: 0
Accepted
time: 326ms
memory: 20120kb
input:
30 400 46479902466857426153849991132
output:
25 19 30 29 9 20 26 21 14 27 28 10 22 11 24 2 7 4 18 17 5 13 12 6 8 1 15 23 16 3
result:
ok 30 numbers
Test #21:
score: 0
Accepted
time: 306ms
memory: 20068kb
input:
30 450 1140008168482799670544355
output:
26 16 17 18 19 20 21 22 23 24 25 27 28 29 30 1 2 3 5 9 4 8 14 10 6 11 12 15 7 13
result:
ok 30 numbers
Test #22:
score: 0
Accepted
time: 168ms
memory: 20016kb
input:
30 150 480087379811286955791425915
output:
7 4 8 5 16 3 1 12 13 11 9 10 15 25 18 17 20 30 28 2 6 14 23 21 24 26 27 22 19 29
result:
ok 30 numbers
Test #23:
score: 0
Accepted
time: 169ms
memory: 20032kb
input:
30 150 480087379811286955791439470
output:
7 4 8 5 16 3 1 12 13 11 9 10 15 25 18 17 20 30 28 2 19 6 22 24 21 23 26 14 29 27
result:
ok 30 numbers
Test #24:
score: 0
Accepted
time: 331ms
memory: 20072kb
input:
30 440 41509275104334759322587324
output:
22 23 20 24 18 30 19 26 21 28 4 29 17 25 27 16 3 1 2 5 8 13 10 15 7 12 9 14 11 6
result:
ok 30 numbers
Test #25:
score: 0
Accepted
time: 316ms
memory: 20024kb
input:
30 450 1140008168482800727111311
output:
26 16 17 18 19 20 21 22 23 24 25 27 28 29 30 1 2 5 7 14 4 15 8 11 3 13 10 9 6 12
result:
ok 30 numbers
Test #26:
score: 0
Accepted
time: 334ms
memory: 19952kb
input:
30 400 52289890275214604423031772929
output:
26 27 29 21 28 16 18 11 2 25 24 23 6 30 20 13 17 10 15 4 9 12 8 22 19 1 5 7 3 14
result:
ok 30 numbers
Test #27:
score: 0
Accepted
time: 36ms
memory: 20012kb
input:
30 0 1
output:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
result:
ok 30 numbers
Test #28:
score: 0
Accepted
time: 289ms
memory: 20084kb
input:
30 450 1
output:
16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
result:
ok 30 numbers
Test #29:
score: 0
Accepted
time: 391ms
memory: 17944kb
input:
30 450 1710012252724199424000000
output:
30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1
result:
ok 30 numbers
Test #30:
score: 0
Accepted
time: 347ms
memory: 20012kb
input:
30 450 1692383260428073656742269
output:
30 27 26 28 18 29 21 19 25 17 20 16 24 22 23 7 13 4 6 3 5 12 1 15 14 9 11 8 2 10
result:
ok 30 numbers
Test #31:
score: 0
Accepted
time: 316ms
memory: 20088kb
input:
30 302 5918364042599361729860937331200
output:
30 29 28 27 26 25 14 8 9 10 11 12 13 7 15 16 17 18 19 20 21 22 23 24 6 5 4 3 2 1
result:
ok 30 numbers
Test #32:
score: 0
Accepted
time: 260ms
memory: 20016kb
input:
30 254 2256781660157136563723839089600
output:
25 2 3 12 7 16 19 8 22 6 11 17 27 26 10 24 15 21 20 18 28 9 30 23 14 13 5 29 4 1
result:
ok 30 numbers
Test #33:
score: 0
Accepted
time: 364ms
memory: 20028kb
input:
30 448 3131906441000512625049600
output:
23 20 28 18 26 30 19 29 27 22 17 24 21 25 2 13 16 15 14 12 11 10 9 8 7 6 5 4 3 1
result:
ok 30 numbers
Test #34:
score: 0
Accepted
time: 38ms
memory: 20024kb
input:
30 2 20
output:
1 2 3 4 5 6 7 8 9 11 10 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
result:
ok 30 numbers
Test #35:
score: 0
Accepted
time: 41ms
memory: 20096kb
input:
30 2 29
output:
2 1 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
result:
ok 30 numbers
Extra Test:
score: 0
Extra Test Passed