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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#331657 | #8211. Enumerating Substrings | 8BQube# | AC ✓ | 134ms | 42124kb | C++20 | 3.2kb | 2024-02-18 16:33:15 | 2024-02-18 16:33:16 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
#define X first
#define Y second
#define pb push_back
#define ALL(v) v.begin(), v.end()
#define SZ(a) ((int)a.size())
const int MOD = 1e9 + 7;
const int MAXC = 4005;
const int MAXN = 2e6;
void add(int &x, int val) {
x += val;
if (x >= MOD) x -= MOD;
}
int pw(int a, int n) {
int res = 1;
for (; n; n >>= 1, a = (ll)a * a % MOD)
if (n & 1)
res = (ll)res * a % MOD;
return res;
}
int rC[MAXC][MAXC], fac[MAXC], inv[MAXC], ipw2[MAXC];
int C(int n, int m) { // O(m)
if (n < m) return 0;
int res = 1;
for (int i = 0; i < m; ++i) {
res = (ll)res * (n - i) % MOD;
res = (ll)res * inv[i + 1] % MOD;
}
return res;
}
int P(int n, int m) { // O(m)
if (n < m) return 0;
int res = 1;
for (int i = 0; i < m; ++i) {
res = (ll)res * (n - i) % MOD;
}
return res;
}
int S[MAXC], L[MAXC][MAXC], len[MAXN];
int main() {
ios::sync_with_stdio(0), cin.tie(0);
fac[0] = 1;
for (int i = 1; i < MAXC; ++i)
fac[i] = (ll)fac[i - 1] * i % MOD;
inv[1] = 1;
for (int i = 2; i < MAXC; ++i)
inv[i] = (ll)(MOD - MOD / i) * inv[MOD % i] % MOD;
ipw2[0] = 1;
for (int i = 1; i < MAXC; ++i)
ipw2[i] = (ll)ipw2[i - 1] * inv[2] % MOD;
int n, m, k, ans = 0;
cin >> n >> m >> k;
for (int i = 0; i <= m; ++i) {
rC[i][0] = 1;
for (int j = 1; j <= m && j <= (k - i); ++j)
rC[i][j] = (ll)rC[i][j - 1] * (k - i - (j - 1)) % MOD * inv[j] % MOD;
}
auto get_C = [&](int p, int q) {
if (p < q) return 0;
return rC[k - p][q];
};
/*for (int d = 0; d <= m / 2; ++d) { // need optimized
for (int x = 0; x <= m; ++x) {
for (int i = 0; i <= x / 2; ++i)
add(L[d][x], (ll)get_C(k - d, i) * get_C(k - i - d, x - 2 * i) % MOD * fac[x] % MOD * ipw2[i] % MOD);
//cerr << "L " << d << " " << x << " = " << L[d][x] << "\n";
}
}*/
auto get_L = [&](int d, int x) {
int res = 0;
for (int i = 0; i <= x / 2; ++i)
add(res, (ll)get_C(k - d, i) * get_C(k - i - d, x - 2 * i) % MOD * fac[x] % MOD * ipw2[i] % MOD);
return res;
};
for (int x = 1; x <= m / 2; ++x) {
S[x] = (ll)P(k, x) * get_L(x, m - 2 * x) % MOD;
//cerr << "S " << x << " = " << S[x] << "\n";
}
for (int x = 1; x <= n; ++x) {
len[x] = (ll)(n - x + 1) * pw(k, n - x) % MOD;
//cerr << "len " << x << " = " << len[x] << "\n";
}
// case 1
for (int x = 1; x <= m / 2; ++x) {
int sum = 0;
for (int j = 1; (x + (m - x) * j) <= n; ++j)
if (j & 1)
add(sum, len[x + (m - x) * j]);
else
add(sum, MOD - len[x + (m - x) * j]);
add(ans, (ll)S[x] * sum % MOD);
}
//cerr << "after case1: " << ans << "\n";
// case 2
int sum = get_L(0, m);
for (int x = 1; x <= m / 2; ++x)
add(sum, MOD - S[x]);
add(ans, (ll)len[m] * sum % MOD);
cout << ans << "\n";
}
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: 1ms
memory: 5660kb
input:
4 2 3
output:
228
result:
ok 1 number(s): "228"
Test #2:
score: 0
Accepted
time: 134ms
memory: 42124kb
input:
999999 1999 12345678
output:
52352722
result:
ok 1 number(s): "52352722"
Test #3:
score: 0
Accepted
time: 1ms
memory: 5776kb
input:
7 4 2
output:
182
result:
ok 1 number(s): "182"
Test #4:
score: 0
Accepted
time: 1ms
memory: 5720kb
input:
4 3 4
output:
480
result:
ok 1 number(s): "480"
Test #5:
score: 0
Accepted
time: 1ms
memory: 5780kb
input:
3 1 1
output:
3
result:
ok 1 number(s): "3"
Test #6:
score: 0
Accepted
time: 1ms
memory: 5804kb
input:
5 5 1
output:
0
result:
ok 1 number(s): "0"
Test #7:
score: 0
Accepted
time: 1ms
memory: 5708kb
input:
7 4 3
output:
5784
result:
ok 1 number(s): "5784"
Test #8:
score: 0
Accepted
time: 0ms
memory: 5772kb
input:
5 2 4
output:
3932
result:
ok 1 number(s): "3932"
Test #9:
score: 0
Accepted
time: 1ms
memory: 5744kb
input:
8 2 2
output:
1522
result:
ok 1 number(s): "1522"
Test #10:
score: 0
Accepted
time: 0ms
memory: 5716kb
input:
8 1 2
output:
2048
result:
ok 1 number(s): "2048"
Test #11:
score: 0
Accepted
time: 1ms
memory: 5708kb
input:
7 5 3
output:
2430
result:
ok 1 number(s): "2430"
Test #12:
score: 0
Accepted
time: 1ms
memory: 5736kb
input:
10 4 3
output:
272004
result:
ok 1 number(s): "272004"
Test #13:
score: 0
Accepted
time: 61ms
memory: 20244kb
input:
675978 614 2
output:
0
result:
ok 1 number(s): "0"
Test #14:
score: 0
Accepted
time: 16ms
memory: 8660kb
input:
244613 38 1
output:
0
result:
ok 1 number(s): "0"
Test #15:
score: 0
Accepted
time: 15ms
memory: 31040kb
input:
186293 1462 1
output:
0
result:
ok 1 number(s): "0"
Test #16:
score: 0
Accepted
time: 0ms
memory: 20148kb
input:
24867 886 1
output:
0
result:
ok 1 number(s): "0"
Test #17:
score: 0
Accepted
time: 87ms
memory: 24940kb
input:
976164 1014 2
output:
0
result:
ok 1 number(s): "0"
Test #18:
score: 0
Accepted
time: 11ms
memory: 6356kb
input:
179356 2 716844809
output:
577866092
result:
ok 1 number(s): "577866092"
Test #19:
score: 0
Accepted
time: 51ms
memory: 11876kb
input:
621001 130 310625363
output:
892869197
result:
ok 1 number(s): "892869197"
Test #20:
score: 0
Accepted
time: 66ms
memory: 22576kb
input:
678862 850 754662812
output:
582264789
result:
ok 1 number(s): "582264789"
Test #21:
score: 0
Accepted
time: 62ms
memory: 22536kb
input:
650845 978 348443366
output:
825425732
result:
ok 1 number(s): "825425732"
Test #22:
score: 0
Accepted
time: 54ms
memory: 14536kb
input:
669914 402 87448112
output:
318098088
result:
ok 1 number(s): "318098088"
Test #23:
score: 0
Accepted
time: 95ms
memory: 19148kb
input:
998593 530 681228665
output:
408255654
result:
ok 1 number(s): "408255654"
Test #24:
score: 0
Accepted
time: 67ms
memory: 39392kb
input:
369361 1954 125266115
output:
509912384
result:
ok 1 number(s): "509912384"
Test #25:
score: 0
Accepted
time: 105ms
memory: 30348kb
input:
900226 1378 424079373
output:
406320917
result:
ok 1 number(s): "406320917"
Test #26:
score: 0
Accepted
time: 52ms
memory: 30604kb
input:
334887 1506 17859926
output:
503264679
result:
ok 1 number(s): "503264679"
Test #27:
score: 0
Accepted
time: 81ms
memory: 17796kb
input:
936048 544 53978328
output:
548647866
result:
ok 1 number(s): "548647866"
Test #28:
score: 0
Accepted
time: 29ms
memory: 26860kb
input:
152789 1264 792983073
output:
839541707
result:
ok 1 number(s): "839541707"
Test #29:
score: 0
Accepted
time: 87ms
memory: 32364kb
input:
714493 1392 91796331
output:
721071046
result:
ok 1 number(s): "721071046"
Test #30:
score: 0
Accepted
time: 28ms
memory: 21160kb
input:
269571 816 830801077
output:
330064211
result:
ok 1 number(s): "330064211"
Test #31:
score: 0
Accepted
time: 84ms
memory: 24876kb
input:
845120 944 424581630
output:
348960190
result:
ok 1 number(s): "348960190"
Test #32:
score: 0
Accepted
time: 44ms
memory: 12496kb
input:
533990 368 163586376
output:
522092095
result:
ok 1 number(s): "522092095"
Test #33:
score: 0
Accepted
time: 47ms
memory: 36568kb
input:
181707 1792 462399634
output:
373795106
result:
ok 1 number(s): "373795106"
Test #34:
score: 0
Accepted
time: 72ms
memory: 36760kb
input:
417349 1920 761212891
output:
587051329
result:
ok 1 number(s): "587051329"
Test #35:
score: 0
Accepted
time: 65ms
memory: 29020kb
input:
526583 1344 500217637
output:
108767800
result:
ok 1 number(s): "108767800"
Test #36:
score: 0
Accepted
time: 87ms
memory: 23252kb
input:
867054 769 93998191
output:
239123369
result:
ok 1 number(s): "239123369"
Extra Test:
score: 0
Extra Test Passed