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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#589147 | #8211. Enumerating Substrings | zhutianrui | AC ✓ | 25ms | 52504kb | C++14 | 2.2kb | 2024-09-25 16:23:31 | 2024-09-25 16:23:32 |
Judging History
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
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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