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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#846009#9782. NonZero PrefSuf SumsMilkcat2009AC ✓8ms16548kbC++143.6kb2025-01-06 21:03:262025-01-06 21:03:32

Judging History

你现在查看的是最新测评结果

  • [2025-01-06 21:03:32]
  • 评测
  • 测评结果:AC
  • 用时:8ms
  • 内存:16548kb
  • [2025-01-06 21:03:26]
  • 提交

answer

#include <bits/stdc++.h>
#define REP(i, l, r) for (int i = (l); i <= (r); ++ i)
#define DEP(i, r, l) for (int i = (r); i >= (l); -- i)
#define fi first
#define se second
#define pb emplace_back
#define mems(x, v) memset((x), (v), sizeof(x))
#define SZ(x) (int)(x).size()
#define ALL(x) (x).begin(), (x).end()
using namespace std;
namespace math {
	typedef long long LL;
	template <class T> T qpow(T a, LL b) { if (!b) return {1}; T rs = a; b --; for (; b; b >>= 1, a = a * a) if (b & 1) rs = rs * a; return rs; }
	LL mul(LL a, LL b, LL p) { LL rs = a * b - LL(1.L * a * b / p) * p; rs %= p; if (rs < 0) rs += p; return rs; }
	template <unsigned P = 0> struct mint {
		unsigned v; static unsigned mod; mint() = default;
		template <class T> mint(T x) { x %= getmod(), v = x < 0 ? x + getmod() : x; }
		static int getmod() { if (P > 0) return P; else return mod; }
		static void setmod(unsigned m) { mod = m; }
		mint operator + () const { return *this; }
		mint operator - () const { return mint(0) - *this; }
		mint inv() const { return assert(v), qpow(*this, getmod() - 2); }
		int val() const { return v; }
		mint &operator += (const mint &q) { if (v += q.v, v >= getmod()) v -= getmod(); return *this; }
		mint &operator -= (const mint &q) { if (v -= q.v, v >= getmod()) v += getmod(); return *this; }
		mint &operator *= (const mint &q) { v = 1ull * v * q.v % getmod(); return *this; }
		mint &operator /= (const mint &q) { return *this *= q.inv(); }
		friend mint operator + (mint p, const mint &q) { return p += q; }
		friend mint operator - (mint p, const mint &q) { return p -= q; }
		friend mint operator * (mint p, const mint &q) { return p *= q; }
		friend mint operator / (mint p, const mint &q) { return p /= q; }
		friend bool operator == (const mint &p, const mint &q) { return p.v == q.v; }
		friend bool operator != (const mint &p, const mint &q) { return p.v != q.v; }
		friend bool operator < (const mint &p, const mint &q) { return p.v < q.v; }
		friend bool operator > (const mint &p, const mint &q) { return p.v > q.v; }
		friend bool operator <= (const mint &p, const mint &q) { return p.v <= q.v; }
		friend bool operator >= (const mint &p, const mint &q) { return p.v >= q.v; }
		friend istream &operator >> (istream &is, mint &a) { is >> a.v; return is; }
		friend ostream &operator << (ostream &os, const mint &a) { os << a.v; return os; }
	};
	template <> unsigned mint<0>::mod = 998244353;
}
namespace Milkcat {
	using namespace math;
	typedef long long LL;
	typedef pair<LL, LL> pii;
	const int N = 105;
	typedef mint<0> MI;
	int n, m, mod; MI C[N][N], f[N][N][N], g[N][N * N * 2];
	int main() {
		cin >> n >> m >> mod, MI::setmod(mod);
		int t = n * m; g[0][t] = 1, g[0][t + 1] = -1;
		REP(i, 0, n) REP(j, 0, t * 2) {
			if (j > 0) g[i][j] += g[i][j - 1];
			g[i + 1][max(j - m, 0)] += g[i][j];
			g[i + 1][min(j + m, t * 2) + 1] -= g[i][j];
		}
		MI rs = g[n][t]; C[0][0] = 1;
		REP(x, 0, m) {
			f[x][0][0] = 1, f[x][0][1] = -1;
			REP(i, 0, n) REP(j, 0, n) {
				if (j > 0) f[x][i][j] += f[x][i][j - 1];
				f[x][i + 1][j] += f[x][i][j];
				f[x][i + 1][min(j + x, n) + 1] -= f[x][i][j];
			}
		}
		REP(i, 1, n) REP(j, 0, i) {
			C[i][j] = C[i - 1][j];
			if (j > 0) C[i][j] += C[i - 1][j - 1];
		}
		REP(x, 1, m) REP(S, 1, min(n, m / x + 1)) REP(i, S, n - 1) {
			int v = i - S;
			rs += (f[m / x][n - i][v] - (S > 1 ? f[S - 2][n - i][v] : 0)) * C[n][i] * 2;
		}
		cout << qpow((MI)m * 2 + 1, n) - rs << '\n';
		return 0;
	}
}
int main() {
	cin.tie(0)->sync_with_stdio(0);
	int T = 1;
	while (T --) Milkcat::main();
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 5604kb

input:

2 1 998244353

output:

2

result:

ok single line: '2'

Test #2:

score: 0
Accepted
time: 4ms
memory: 9672kb

input:

69 42 696969697

output:

378553557

result:

ok single line: '378553557'

Test #3:

score: 0
Accepted
time: 1ms
memory: 5604kb

input:

2 1 998244353

output:

2

result:

ok single line: '2'

Test #4:

score: 0
Accepted
time: 4ms
memory: 9752kb

input:

69 42 696969697

output:

378553557

result:

ok single line: '378553557'

Test #5:

score: 0
Accepted
time: 0ms
memory: 11708kb

input:

61 75 677323601

output:

34613998

result:

ok single line: '34613998'

Test #6:

score: 0
Accepted
time: 0ms
memory: 5812kb

input:

13 14 670577333

output:

41465431

result:

ok single line: '41465431'

Test #7:

score: 0
Accepted
time: 1ms
memory: 7856kb

input:

14 6 987686347

output:

37536510

result:

ok single line: '37536510'

Test #8:

score: 0
Accepted
time: 1ms
memory: 5740kb

input:

15 12 196428923

output:

29322522

result:

ok single line: '29322522'

Test #9:

score: 0
Accepted
time: 1ms
memory: 6304kb

input:

68 7 786815587

output:

149281835

result:

ok single line: '149281835'

Test #10:

score: 0
Accepted
time: 1ms
memory: 5744kb

input:

3 2 503002109

output:

82

result:

ok single line: '82'

Test #11:

score: 0
Accepted
time: 1ms
memory: 5816kb

input:

13 5 756093197

output:

415698676

result:

ok single line: '415698676'

Test #12:

score: 0
Accepted
time: 1ms
memory: 5728kb

input:

2 3 646574611

output:

30

result:

ok single line: '30'

Test #13:

score: 0
Accepted
time: 3ms
memory: 8788kb

input:

39 68 120037189

output:

43217507

result:

ok single line: '43217507'

Test #14:

score: 0
Accepted
time: 0ms
memory: 5796kb

input:

13 4 423132517

output:

360231790

result:

ok single line: '360231790'

Test #15:

score: 0
Accepted
time: 0ms
memory: 5788kb

input:

14 3 309713387

output:

94215386

result:

ok single line: '94215386'

Test #16:

score: 0
Accepted
time: 2ms
memory: 8924kb

input:

24 77 886983941

output:

211636479

result:

ok single line: '211636479'

Test #17:

score: 0
Accepted
time: 0ms
memory: 5676kb

input:

3 3 504388063

output:

270

result:

ok single line: '270'

Test #18:

score: 0
Accepted
time: 1ms
memory: 5664kb

input:

3 1 936205423

output:

8

result:

ok single line: '8'

Test #19:

score: 0
Accepted
time: 1ms
memory: 5660kb

input:

3 3 295983139

output:

270

result:

ok single line: '270'

Test #20:

score: 0
Accepted
time: 1ms
memory: 5860kb

input:

10 15 446169107

output:

149884328

result:

ok single line: '149884328'

Test #21:

score: 0
Accepted
time: 1ms
memory: 6152kb

input:

37 18 833753929

output:

592917251

result:

ok single line: '592917251'

Test #22:

score: 0
Accepted
time: 1ms
memory: 5764kb

input:

11 3 998773403

output:

860630017

result:

ok single line: '860630017'

Test #23:

score: 0
Accepted
time: 1ms
memory: 8116kb

input:

14 85 688036639

output:

347188409

result:

ok single line: '347188409'

Test #24:

score: 0
Accepted
time: 0ms
memory: 5720kb

input:

3 3 844621907

output:

270

result:

ok single line: '270'

Test #25:

score: 0
Accepted
time: 1ms
memory: 5784kb

input:

3 4 204335891

output:

620

result:

ok single line: '620'

Test #26:

score: 0
Accepted
time: 1ms
memory: 7852kb

input:

7 8 113007667

output:

58946097

result:

ok single line: '58946097'

Test #27:

score: 0
Accepted
time: 1ms
memory: 7844kb

input:

4 1 637268377

output:

22

result:

ok single line: '22'

Test #28:

score: 0
Accepted
time: 1ms
memory: 5876kb

input:

11 14 391637237

output:

303270280

result:

ok single line: '303270280'

Test #29:

score: 0
Accepted
time: 1ms
memory: 5744kb

input:

3 2 208286231

output:

82

result:

ok single line: '82'

Test #30:

score: 0
Accepted
time: 1ms
memory: 5684kb

input:

2 11 662696483

output:

462

result:

ok single line: '462'

Test #31:

score: 0
Accepted
time: 0ms
memory: 6264kb

input:

19 55 974135299

output:

887460557

result:

ok single line: '887460557'

Test #32:

score: 0
Accepted
time: 0ms
memory: 5680kb

input:

6 8 417027509

output:

23351024

result:

ok single line: '23351024'

Test #33:

score: 0
Accepted
time: 1ms
memory: 7816kb

input:

8 13 624006587

output:

353008442

result:

ok single line: '353008442'

Test #34:

score: 0
Accepted
time: 0ms
memory: 5788kb

input:

10 10 740294671

output:

79436611

result:

ok single line: '79436611'

Test #35:

score: 0
Accepted
time: 1ms
memory: 7768kb

input:

11 10 394088657

output:

161476458

result:

ok single line: '161476458'

Test #36:

score: 0
Accepted
time: 0ms
memory: 7824kb

input:

9 27 562853573

output:

135252259

result:

ok single line: '135252259'

Test #37:

score: 0
Accepted
time: 1ms
memory: 5812kb

input:

8 3 829129009

output:

5349034

result:

ok single line: '5349034'

Test #38:

score: 0
Accepted
time: 0ms
memory: 9028kb

input:

51 49 924010279

output:

815049368

result:

ok single line: '815049368'

Test #39:

score: 0
Accepted
time: 1ms
memory: 5824kb

input:

12 2 308466749

output:

223013998

result:

ok single line: '223013998'

Test #40:

score: 0
Accepted
time: 1ms
memory: 5804kb

input:

7 4 567557693

output:

4502296

result:

ok single line: '4502296'

Test #41:

score: 0
Accepted
time: 3ms
memory: 9908kb

input:

36 93 943780729

output:

13599465

result:

ok single line: '13599465'

Test #42:

score: 0
Accepted
time: 1ms
memory: 5804kb

input:

2 1 828681127

output:

2

result:

ok single line: '2'

Test #43:

score: 0
Accepted
time: 1ms
memory: 7800kb

input:

3 3 534160729

output:

270

result:

ok single line: '270'

Test #44:

score: 0
Accepted
time: 1ms
memory: 7736kb

input:

7 12 920925433

output:

453086694

result:

ok single line: '453086694'

Test #45:

score: 0
Accepted
time: 1ms
memory: 5736kb

input:

3 2 440546987

output:

82

result:

ok single line: '82'

Test #46:

score: 0
Accepted
time: 0ms
memory: 6628kb

input:

90 9 291269963

output:

72560304

result:

ok single line: '72560304'

Test #47:

score: 0
Accepted
time: 0ms
memory: 5936kb

input:

38 10 867575113

output:

165530481

result:

ok single line: '165530481'

Test #48:

score: 0
Accepted
time: 2ms
memory: 6680kb

input:

48 37 152663531

output:

135425620

result:

ok single line: '135425620'

Test #49:

score: 0
Accepted
time: 1ms
memory: 7880kb

input:

15 15 991731803

output:

102703562

result:

ok single line: '102703562'

Test #50:

score: 0
Accepted
time: 8ms
memory: 16548kb

input:

100 100 696969697

output:

313377809

result:

ok single line: '313377809'

Extra Test:

score: 0
Extra Test Passed