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ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#350237 | #8211. Enumerating Substrings | willow# | AC ✓ | 24ms | 21548kb | C++17 | 3.1kb | 2024-03-10 15:46:02 | 2024-03-10 15:46:03 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
typedef long long LL;
const int N = 2005;
namespace ModCalculator {
const int MOD = 1e9 + 7;
inline void Inc(int &x, int y) {
x += y; if (x >= MOD) x -= MOD;
}
inline int Add(int x, int y) {
Inc(x, y); return x;
}
inline void Dec(int &x, int y) {
x -= y; if (x < 0) x += MOD;
}
inline int Sub(int x, int y) {
Dec(x, y); return x;
}
inline int Mul(int x, int y) {
return 1LL * x * y % MOD;
}
inline int Ksm(int x, int y) {
int ret = 1;
for (; y; y >>= 1) {
if (y & 1) ret = Mul(ret, x);
x = Mul(x, x);
}
return ret;
}
}
using namespace ModCalculator;
int n, m, k, C[N][N], fac[N], finv[N], pw2[N], pwk[1000005], dnk[N];
int dp[N];
void solve() {
scanf("%d %d %d", &n, &m, &k);
if (k * 2 < m) {
puts("0");
return;
}
pwk[0] = 1;
for (int i = 1; i <= n; ++i) {
pwk[i] = Mul(pwk[i - 1], k);
}
dnk[0] = 1;
for (int i = 1; i <= m; ++i) {
dnk[i] = Mul(dnk[i - 1], k - i + 1);
}
fac[0] = fac[1] = finv[0] = finv[1] = 1;
pw2[0] = 1; pw2[1] = Ksm(2, MOD - 2);
for (int i = 2; i <= m; ++i) {
fac[i] = Mul(fac[i - 1], i);
finv[i] = Mul(finv[i - 1], Ksm(i, MOD - 2));
pw2[i] = Mul(pw2[i - 1], pw2[1]);
}
for (int i = 0; i <= m; ++i) {
C[i][0] = 1;
for (int j = 1; j <= i; ++j) {
C[i][j] = Add(C[i - 1][j], C[i - 1][j - 1]);
}
}
for (int i = 0; i <= m / 2 && i <= k; ++i) {
for (int j = 0; j * 2 <= m - i * 2; ++j) {
int l = m - i * 2 - j * 2;
int cur = Mul(dnk[i + j + l], finv[i + j + l]);
cur = Mul(cur, Mul(C[i + j + l][i], fac[i]));
cur = Mul(cur, Mul(C[j + l][j], fac[m - i * 2]));
cur = Mul(cur, pw2[j]);
Inc(dp[i], cur);
}
}
for (int i = 1; i <= m / 2; ++i) {
Dec(dp[0], dp[i]);
}
/*
for (int i = m / 2 - 1; i >= 0; --i) {
for (int j = m / 2; j > i; --j) {
Dec(dp[i], dp[j]);
}
}*/
int ans = Mul(dp[0], Mul(n - m + 1, pwk[n - m]));
for (int i = 1; i <= m / 2; ++i) {
for (int j = 1, len = m; len <= n; ++j, len += m - i) {
int x = n - len, y = m - i - 1, cur = 0;
if (y >= x) {
cur = Mul(x + 1, pwk[x]);
} else if (y * 2 >= x) {
cur = Mul(y * 2 - x + 1, pwk[x]);
Inc(cur, Mul(x + 1 - y * 2 + x - 1, Sub(pwk[x], pwk[x - y - 1])));
} else { //y * 2 < x
cur = Mul((y + 1) * 2, Sub(pwk[x], pwk[x - y - 1]));
Inc(cur, Mul(x + 1 - (y + 1) * 2, Sub(Add(pwk[x], pwk[x - (y + 1) * 2]), Mul(2, pwk[x - y - 1]))));
}
//cerr << j << ' ' << x << ' ' << y << ' ' << cur << endl;
Inc(ans, Mul(Mul(dp[i], cur), (j + 1) / 2));
}
}
printf("%d\n", ans);
}
int main() {
solve();
return 0;
}
这程序好像有点Bug,我给组数据试试?
Details
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Test #1:
score: 100
Accepted
time: 0ms
memory: 3932kb
input:
4 2 3
output:
228
result:
ok 1 number(s): "228"
Test #2:
score: 0
Accepted
time: 24ms
memory: 21548kb
input:
999999 1999 12345678
output:
52352722
result:
ok 1 number(s): "52352722"
Test #3:
score: 0
Accepted
time: 0ms
memory: 3828kb
input:
7 4 2
output:
182
result:
ok 1 number(s): "182"
Test #4:
score: 0
Accepted
time: 0ms
memory: 3852kb
input:
4 3 4
output:
480
result:
ok 1 number(s): "480"
Test #5:
score: 0
Accepted
time: 0ms
memory: 3924kb
input:
3 1 1
output:
3
result:
ok 1 number(s): "3"
Test #6:
score: 0
Accepted
time: 0ms
memory: 3608kb
input:
5 5 1
output:
0
result:
ok 1 number(s): "0"
Test #7:
score: 0
Accepted
time: 1ms
memory: 3900kb
input:
7 4 3
output:
5784
result:
ok 1 number(s): "5784"
Test #8:
score: 0
Accepted
time: 1ms
memory: 3960kb
input:
5 2 4
output:
3932
result:
ok 1 number(s): "3932"
Test #9:
score: 0
Accepted
time: 0ms
memory: 3936kb
input:
8 2 2
output:
1522
result:
ok 1 number(s): "1522"
Test #10:
score: 0
Accepted
time: 0ms
memory: 3920kb
input:
8 1 2
output:
2048
result:
ok 1 number(s): "2048"
Test #11:
score: 0
Accepted
time: 1ms
memory: 3908kb
input:
7 5 3
output:
2430
result:
ok 1 number(s): "2430"
Test #12:
score: 0
Accepted
time: 0ms
memory: 3972kb
input:
10 4 3
output:
272004
result:
ok 1 number(s): "272004"
Test #13:
score: 0
Accepted
time: 0ms
memory: 3776kb
input:
675978 614 2
output:
0
result:
ok 1 number(s): "0"
Test #14:
score: 0
Accepted
time: 0ms
memory: 3564kb
input:
244613 38 1
output:
0
result:
ok 1 number(s): "0"
Test #15:
score: 0
Accepted
time: 0ms
memory: 3712kb
input:
186293 1462 1
output:
0
result:
ok 1 number(s): "0"
Test #16:
score: 0
Accepted
time: 1ms
memory: 3732kb
input:
24867 886 1
output:
0
result:
ok 1 number(s): "0"
Test #17:
score: 0
Accepted
time: 1ms
memory: 3796kb
input:
976164 1014 2
output:
0
result:
ok 1 number(s): "0"
Test #18:
score: 0
Accepted
time: 3ms
memory: 4640kb
input:
179356 2 716844809
output:
577866092
result:
ok 1 number(s): "577866092"
Test #19:
score: 0
Accepted
time: 11ms
memory: 6908kb
input:
621001 130 310625363
output:
892869197
result:
ok 1 number(s): "892869197"
Test #20:
score: 0
Accepted
time: 15ms
memory: 11408kb
input:
678862 850 754662812
output:
582264789
result:
ok 1 number(s): "582264789"
Test #21:
score: 0
Accepted
time: 15ms
memory: 12240kb
input:
650845 978 348443366
output:
825425732
result:
ok 1 number(s): "825425732"
Test #22:
score: 0
Accepted
time: 10ms
memory: 8476kb
input:
669914 402 87448112
output:
318098088
result:
ok 1 number(s): "318098088"
Test #23:
score: 0
Accepted
time: 19ms
memory: 10496kb
input:
998593 530 681228665
output:
408255654
result:
ok 1 number(s): "408255654"
Test #24:
score: 0
Accepted
time: 16ms
memory: 18836kb
input:
369361 1954 125266115
output:
509912384
result:
ok 1 number(s): "509912384"
Test #25:
score: 0
Accepted
time: 18ms
memory: 16224kb
input:
900226 1378 424079373
output:
406320917
result:
ok 1 number(s): "406320917"
Test #26:
score: 0
Accepted
time: 11ms
memory: 15176kb
input:
334887 1506 17859926
output:
503264679
result:
ok 1 number(s): "503264679"
Test #27:
score: 0
Accepted
time: 15ms
memory: 10316kb
input:
936048 544 53978328
output:
548647866
result:
ok 1 number(s): "548647866"
Test #28:
score: 0
Accepted
time: 8ms
memory: 12560kb
input:
152789 1264 792983073
output:
839541707
result:
ok 1 number(s): "839541707"
Test #29:
score: 0
Accepted
time: 15ms
memory: 15720kb
input:
714493 1392 91796331
output:
721071046
result:
ok 1 number(s): "721071046"
Test #30:
score: 0
Accepted
time: 7ms
memory: 9556kb
input:
269571 816 830801077
output:
330064211
result:
ok 1 number(s): "330064211"
Test #31:
score: 0
Accepted
time: 11ms
memory: 12800kb
input:
845120 944 424581630
output:
348960190
result:
ok 1 number(s): "348960190"
Test #32:
score: 0
Accepted
time: 10ms
memory: 7644kb
input:
533990 368 163586376
output:
522092095
result:
ok 1 number(s): "522092095"
Test #33:
score: 0
Accepted
time: 11ms
memory: 16848kb
input:
181707 1792 462399634
output:
373795106
result:
ok 1 number(s): "373795106"
Test #34:
score: 0
Accepted
time: 12ms
memory: 18728kb
input:
417349 1920 761212891
output:
587051329
result:
ok 1 number(s): "587051329"
Test #35:
score: 0
Accepted
time: 12ms
memory: 14684kb
input:
526583 1344 500217637
output:
108767800
result:
ok 1 number(s): "108767800"
Test #36:
score: 0
Accepted
time: 7ms
memory: 11516kb
input:
867054 769 93998191
output:
239123369
result:
ok 1 number(s): "239123369"
Extra Test:
score: 0
Extra Test Passed