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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#589147#8211. Enumerating SubstringszhutianruiAC ✓25ms52504kbC++142.2kb2024-09-25 16:23:312024-09-25 16:23:32

Judging History

你现在查看的是最新测评结果

  • [2024-09-25 16:23:32]
  • 评测
  • 测评结果:AC
  • 用时:25ms
  • 内存:52504kb
  • [2024-09-25 16:23:31]
  • 提交

answer

#include <bits/stdc++.h>
#define int long long

#define F(i, a, b) for (int i = (a); i <= (b); i++)
#define dF(i, a, b) for (int i = (a); i >= (b); i--)
using namespace std;

typedef long long ll;
typedef pair<int, int> pii;

const int N = 1000005, M = 2005, inf = 1e16, mod = 1e9 + 7;
int n, m, k, ans, fac[N], ifc[N], inv[N], pw[N], km[M], pwinv2[N], pwk[N];
int qpow(int a, int b = mod - 2) {
	int r = 1;
	for (; b; b >>= 1, a = a * a % mod)
		if (b & 1) r = r * a % mod;
	return r;
}
int C(int n, int m) {
	if (n < m || m < 0) return 0;
	return fac[n] * ifc[m] % mod * ifc[n - m] % mod;
}
void add(int &x, int y) { if ((x += y) >= mod) x -= mod; }

int dp[N];
int solve1(int len) {
	if (!len) return (n - m + 1) * pwk[n - m] % mod;
	int res = 0;
	for (int i = 1; len + (m - len) * i <= n; i++) {
		int coef = i & 1 ? 1 : mod - 1, L = len + (m - len) * i;
		add(res, coef * (n - L + 1) % mod * pwk[n - L] % mod);
	}
	return res;
}
int solve2(int len) {
	int res = 0;
	F(i, 0, (m - len * 2) / 2) {
		add(res, km[m - len - i] * ifc[i] % mod * pwinv2[i] % mod * ifc[m - 2 * len - 2 * i] % mod);
	}
	return res * fac[m - len * 2] % mod;
}
signed main() {
	// freopen("lake.in", "r", stdin);
	// freopen("lake.out", "w", stdout);
	ios_base::sync_with_stdio(0);
	cin.tie(0), cout.tie(0);
	cin >> n >> m >> k;
	F(i, 0, 1) fac[i] = ifc[i] = inv[i] = 1;
	pw[0] = pwinv2[0] = pwk[0] = 1;
	F(i, 1, 1e6) {
		pwk[i] = pwk[i - 1] * k % mod;
		pw[i] = pw[i - 1] * 2 % mod;
		pwinv2[i] = pwinv2[i - 1] * (mod + 1 >> 1) % mod;
	} 
	F(i, 2, 1e6) {
		fac[i] = fac[i - 1] * i % mod;
		inv[i] = inv[mod % i] * (mod - mod / i) % mod;
		ifc[i] = ifc[i - 1] * inv[i] % mod;
	}
	km[0] = 1;
	F(i, 1, m) km[i] = km[i - 1] * (k - i + 1) % mod;
	int cnt = 0;
	F(i, 0, m / 2) {
		if (k < i || k - i < m - 2 * i) continue;
		int r = ifc[i] * ifc[m - 2 * i] % mod;
		dF(j, k, k - i + 1) r = r * j % mod;
		dF(j, k - i, k - i - (m - 2 * i) + 1) r = r * j % mod;
		add(cnt, r * fac[m] % mod * qpow(pw[i]) % mod);
	}
	F(i, 1, m / 2) {
		add(cnt, mod - solve2(i));
		add(ans, solve1(i) * solve2(i) % mod);
	}
	add(ans, solve1(0) * cnt % mod);
	cout << ans << '\n';
	return 0;
}

这程序好像有点Bug,我给组数据试试?

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 15ms
memory: 52180kb

input:

4 2 3

output:

228

result:

ok 1 number(s): "228"

Test #2:

score: 0
Accepted
time: 13ms
memory: 50656kb

input:

999999 1999 12345678

output:

52352722

result:

ok 1 number(s): "52352722"

Test #3:

score: 0
Accepted
time: 14ms
memory: 51728kb

input:

7 4 2

output:

182

result:

ok 1 number(s): "182"

Test #4:

score: 0
Accepted
time: 16ms
memory: 50944kb

input:

4 3 4

output:

480

result:

ok 1 number(s): "480"

Test #5:

score: 0
Accepted
time: 17ms
memory: 51440kb

input:

3 1 1

output:

3

result:

ok 1 number(s): "3"

Test #6:

score: 0
Accepted
time: 13ms
memory: 51160kb

input:

5 5 1

output:

0

result:

ok 1 number(s): "0"

Test #7:

score: 0
Accepted
time: 19ms
memory: 50556kb

input:

7 4 3

output:

5784

result:

ok 1 number(s): "5784"

Test #8:

score: 0
Accepted
time: 11ms
memory: 51600kb

input:

5 2 4

output:

3932

result:

ok 1 number(s): "3932"

Test #9:

score: 0
Accepted
time: 4ms
memory: 52436kb

input:

8 2 2

output:

1522

result:

ok 1 number(s): "1522"

Test #10:

score: 0
Accepted
time: 12ms
memory: 51972kb

input:

8 1 2

output:

2048

result:

ok 1 number(s): "2048"

Test #11:

score: 0
Accepted
time: 11ms
memory: 51264kb

input:

7 5 3

output:

2430

result:

ok 1 number(s): "2430"

Test #12:

score: 0
Accepted
time: 19ms
memory: 52056kb

input:

10 4 3

output:

272004

result:

ok 1 number(s): "272004"

Test #13:

score: 0
Accepted
time: 25ms
memory: 51092kb

input:

675978 614 2

output:

0

result:

ok 1 number(s): "0"

Test #14:

score: 0
Accepted
time: 7ms
memory: 51692kb

input:

244613 38 1

output:

0

result:

ok 1 number(s): "0"

Test #15:

score: 0
Accepted
time: 8ms
memory: 50848kb

input:

186293 1462 1

output:

0

result:

ok 1 number(s): "0"

Test #16:

score: 0
Accepted
time: 11ms
memory: 51884kb

input:

24867 886 1

output:

0

result:

ok 1 number(s): "0"

Test #17:

score: 0
Accepted
time: 16ms
memory: 51172kb

input:

976164 1014 2

output:

0

result:

ok 1 number(s): "0"

Test #18:

score: 0
Accepted
time: 15ms
memory: 50628kb

input:

179356 2 716844809

output:

577866092

result:

ok 1 number(s): "577866092"

Test #19:

score: 0
Accepted
time: 12ms
memory: 50584kb

input:

621001 130 310625363

output:

892869197

result:

ok 1 number(s): "892869197"

Test #20:

score: 0
Accepted
time: 18ms
memory: 51240kb

input:

678862 850 754662812

output:

582264789

result:

ok 1 number(s): "582264789"

Test #21:

score: 0
Accepted
time: 13ms
memory: 50488kb

input:

650845 978 348443366

output:

825425732

result:

ok 1 number(s): "825425732"

Test #22:

score: 0
Accepted
time: 17ms
memory: 51440kb

input:

669914 402 87448112

output:

318098088

result:

ok 1 number(s): "318098088"

Test #23:

score: 0
Accepted
time: 15ms
memory: 50896kb

input:

998593 530 681228665

output:

408255654

result:

ok 1 number(s): "408255654"

Test #24:

score: 0
Accepted
time: 20ms
memory: 51456kb

input:

369361 1954 125266115

output:

509912384

result:

ok 1 number(s): "509912384"

Test #25:

score: 0
Accepted
time: 24ms
memory: 51872kb

input:

900226 1378 424079373

output:

406320917

result:

ok 1 number(s): "406320917"

Test #26:

score: 0
Accepted
time: 21ms
memory: 52488kb

input:

334887 1506 17859926

output:

503264679

result:

ok 1 number(s): "503264679"

Test #27:

score: 0
Accepted
time: 20ms
memory: 51752kb

input:

936048 544 53978328

output:

548647866

result:

ok 1 number(s): "548647866"

Test #28:

score: 0
Accepted
time: 15ms
memory: 51488kb

input:

152789 1264 792983073

output:

839541707

result:

ok 1 number(s): "839541707"

Test #29:

score: 0
Accepted
time: 18ms
memory: 51320kb

input:

714493 1392 91796331

output:

721071046

result:

ok 1 number(s): "721071046"

Test #30:

score: 0
Accepted
time: 16ms
memory: 50948kb

input:

269571 816 830801077

output:

330064211

result:

ok 1 number(s): "330064211"

Test #31:

score: 0
Accepted
time: 24ms
memory: 52504kb

input:

845120 944 424581630

output:

348960190

result:

ok 1 number(s): "348960190"

Test #32:

score: 0
Accepted
time: 20ms
memory: 52284kb

input:

533990 368 163586376

output:

522092095

result:

ok 1 number(s): "522092095"

Test #33:

score: 0
Accepted
time: 25ms
memory: 51696kb

input:

181707 1792 462399634

output:

373795106

result:

ok 1 number(s): "373795106"

Test #34:

score: 0
Accepted
time: 23ms
memory: 52148kb

input:

417349 1920 761212891

output:

587051329

result:

ok 1 number(s): "587051329"

Test #35:

score: 0
Accepted
time: 23ms
memory: 52504kb

input:

526583 1344 500217637

output:

108767800

result:

ok 1 number(s): "108767800"

Test #36:

score: 0
Accepted
time: 22ms
memory: 51172kb

input:

867054 769 93998191

output:

239123369

result:

ok 1 number(s): "239123369"

Extra Test:

score: 0
Extra Test Passed