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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#458084#8529. Balance of Permutationucup-team2172#AC ✓4466ms97644kbC++142.5kb2024-06-29 15:42:392024-06-29 15:42:42

Judging History

This is the latest submission verdict.

  • [2024-06-29 15:42:42]
  • Judged
  • Verdict: AC
  • Time: 4466ms
  • Memory: 97644kb
  • [2024-06-29 15:42:39]
  • Submitted

answer

#include <bits/stdc++.h>

using namespace std;

typedef __int128 i128;

inline void read128(i128 &x) {
	char c;
	while ((c = getchar()) < 48);
	for (x = c - 48; (c = getchar()) >= 48; x += (x << 3) + x + c - 48);
	return;
}

const int maxn = 35;
const int base = maxn * maxn;

inline i128 &uadd(i128 &x, const i128 &y) { return (x += y); }

int n, b;
i128 m;
int used[maxn], ans[maxn];
int haveNum[maxn], haveIndex[maxn];
i128 f[maxn][maxn][maxn * maxn * 2], g[maxn][maxn][maxn * maxn * 2];

i128 calc(int L) {
	memset(haveNum, 0, sizeof(haveNum));
	memset(haveIndex, 0, sizeof(haveIndex));
	for (int i = 1; i <= n; ++i) if (!used[i]) haveNum[i] = 1;
	for (int i = n - L + 1; i <= n; ++i) haveIndex[i] = 1;
	
	memset(f, 0, sizeof(f));
	memset(g, 0, sizeof(g));
	
	// for (int i = 1; i <= n; ++i) printf("%d ", haveNum[i]); puts("");
	// for (int i = 1; i <= n; ++i) printf("%d ", haveIndex[i]); puts("");
	
	int totIndex = 0, totNum = 0;
	f[1][0][0 + base] = 1;
	for (int i = 1; i <= n; ++i) {
		// printf("totIndex = %d\n", totIndex);
		for (int j = 0; j <= totIndex; ++j) for (int k = -n * n; k <= n * n; ++k) if (f[i][j][k + base]) {
			// printf("i = %d j = %d k = %d f = %lld\n", i, j, k, (long long)f[i][j][k + base]);
			if (haveNum[i]) {
				if (j < totIndex) uadd(g[i][j + 1][k + i + base], f[i][j][k + base] * (totIndex - j));
				uadd(g[i][j][k - i + base], f[i][j][k + base]);
			}
			else g[i][j][k + base] += f[i][j][k + base];
		}
		totNum += haveNum[i];
		// printf("totNum = %d\n", totNum);
		for (int j = 0; j <= totNum; ++j) for (int k = -n * n; k <= n * n; ++k) if (g[i][j][k + base]) {
			// printf("i = %d j = %d k = %d g = %lld\n", i, j, k, (long long)g[i][j][k + base]);
			if (haveIndex[i]) {
				if (j < totNum) uadd(f[i + 1][j + 1][k + i + base], g[i][j][k + base] * (totNum - j));
				uadd(f[i + 1][j][k - i + base], g[i][j][k + base]);
			}
			else f[i + 1][j][k + base] += g[i][j][k + base];
		}
		totIndex += haveIndex[i];
	}
	// printf("res = %lld\n", (long long)f[n + 1][totNum][b + base]);
	return f[n + 1][totNum][b + base];
}

int main(){
	scanf("%d%d", &n, &b);
	read128(m);
	
	for (int i = 1; i <= n; ++i) {
		for (int j = 1; j <= n; ++j) if (!used[j]) {
			used[j] = 1;
			ans[i] = j;
			b -= abs(i - j);
			// printf("decide i = %d j = %d\n", i, j);
			i128 res = calc(n - i);
			if (m > res) {
				m -= res;
				used[j] = 0; 
				b += abs(i - j); 
			}
			else break;
		}
	}
	
	for (int i = 1; i <= n; ++i) printf("%d ", ans[i]); puts("");
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 71ms
memory: 97500kb

input:

6 6 6

output:

1 2 6 3 4 5 

result:

ok 6 numbers

Test #2:

score: 0
Accepted
time: 2231ms
memory: 97532kb

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: 97640kb

input:

1 0 1

output:

1 

result:

ok 1 number(s): "1"

Test #4:

score: 0
Accepted
time: 10ms
memory: 97524kb

input:

2 0 1

output:

1 2 

result:

ok 2 number(s): "1 2"

Test #5:

score: 0
Accepted
time: 20ms
memory: 97632kb

input:

2 2 1

output:

2 1 

result:

ok 2 number(s): "2 1"

Test #6:

score: 0
Accepted
time: 76ms
memory: 97456kb

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: 158ms
memory: 97468kb

input:

7 20 100

output:

3 6 7 4 1 5 2 

result:

ok 7 numbers

Test #8:

score: 0
Accepted
time: 63ms
memory: 97560kb

input:

7 2 6

output:

2 1 3 4 5 6 7 

result:

ok 7 numbers

Test #9:

score: 0
Accepted
time: 146ms
memory: 97636kb

input:

7 24 1

output:

4 5 6 7 1 2 3 

result:

ok 7 numbers

Test #10:

score: 0
Accepted
time: 190ms
memory: 97576kb

input:

7 22 360

output:

7 6 4 3 5 2 1 

result:

ok 7 numbers

Test #11:

score: 0
Accepted
time: 171ms
memory: 97524kb

input:

7 20 358

output:

5 7 2 4 6 3 1 

result:

ok 7 numbers

Test #12:

score: 0
Accepted
time: 324ms
memory: 97620kb

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: 310ms
memory: 97464kb

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: 1510ms
memory: 97644kb

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: 2749ms
memory: 97536kb

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: 2271ms
memory: 97560kb

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: 2081ms
memory: 97464kb

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: 2240ms
memory: 97500kb

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: 2381ms
memory: 97500kb

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: 3164ms
memory: 97500kb

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: 2662ms
memory: 97456kb

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: 1201ms
memory: 97500kb

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: 1212ms
memory: 97460kb

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: 3075ms
memory: 97548kb

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: 2759ms
memory: 97572kb

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: 3144ms
memory: 97524kb

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: 265ms
memory: 97456kb

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: 2368ms
memory: 97452kb

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: 4466ms
memory: 97620kb

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: 3606ms
memory: 97496kb

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: 2991ms
memory: 97640kb

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: 1999ms
memory: 97616kb

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: 3673ms
memory: 97456kb

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: 261ms
memory: 97640kb

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: 253ms
memory: 97616kb

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