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ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#350351 | #8211. Enumerating Substrings | ucup-team1198# | AC ✓ | 216ms | 8208kb | C++20 | 3.1kb | 2024-03-10 17:37:23 | 2024-03-10 17:37:23 |
Judging History
answer
#include <map>
#include <set>
#include <array>
#include <cmath>
#include <deque>
#include <bitset>
#include <random>
#include <string>
#include <vector>
#include <cassert>
#include <complex>
#include <iomanip>
#include <iostream>
#include <algorithm>
#include <unordered_map>
#include <unordered_set>
using namespace std;
const int MOD = 1e9 + 7;
int add(int a, int b) {
return a + b >= MOD ? a + b - MOD : a + b;
}
int sub(int a, int b) {
return a >= b ? a - b : a + MOD - b;
}
int mul(int a, int b) {
return (1ll * a * b) % MOD;
}
int pw(int x, int n) {
int res = 1;
while (n) {
if (n % 2 == 0) {
x = mul(x, x);
n /= 2;
} else {
res = mul(res, x);
--n;
}
}
return res;
}
const int MAXF = 1e5 + 100;
int fact[MAXF], invf[MAXF];
int pw2[MAXF];
int C(int n, int k) {
if (k < 0 || k > n) return 0;
return mul(fact[n], mul(invf[k], invf[n - k]));
}
int inv(int x) {
return mul(invf[x], fact[x - 1]);
}
int get2(int m, int k) {
if (k < 0) return 0;
if (m == 0) return 1;
int c = 1;
int ans = 0;
for (int t = 1; t <= m; ++t) {
c = mul(c, k - t + 1);
c = mul(c, inv(t));
int cur = mul(c, mul(C(t, m - t), mul(fact[m], pw2[m - t])));
ans = add(ans, cur);
}
return ans;
}
const int MAXM = 2e3 + 100;
int cnt[MAXM];
int main() {
ios::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
fact[0] = 1;
for (int i = 1; i < MAXF; ++i) {
fact[i] = mul(fact[i - 1], i);
}
invf[MAXF - 1] = pw(fact[MAXF - 1], MOD - 2);
for (int i = MAXF - 1; i > 0; --i) {
invf[i - 1] = mul(invf[i], i);
}
pw2[0] = 1;
for (int i = 1; i < MAXF; ++i) {
pw2[i] = mul(pw2[i - 1], (MOD + 1) / 2);
}
int n, m, k;
cin >> n >> m >> k;
int c = 1;
for (int l = 0; l * 2 <= m; ++l) {
cnt[m - l] = mul(get2(m - 2 * l, k - l), c);
c = mul(c, k - l);
/// c = mul(c, inv(l + 1));
/// cerr << l << ": " << cnt[m - l] << endl;
}
int total = 0;
for (int i = 0; i < m; ++i) {
cnt[m] = sub(cnt[m], cnt[i]);
total = add(total, cnt[i]);
}
int ans = mul(cnt[m], mul(pw(k, n - m), n - m + 1));
/// cerr << ans << endl;
vector<int> f(n + 1);
for (int l = 1; l < m; ++l) {
for (int i = l; i <= n; i += l) {
if ((i / l) % 2 == 1) {
f[i] = add(f[i], cnt[l]);
} else {
f[i] = sub(f[i], cnt[l]);
}
}
}
for (int i = 1; i <= n; ++i) {
f[i] = add(f[i], mul(f[i - 1], k));
/// cerr << i << ": " << f[i] << endl;
}
for (int i = m; i <= n; ++i) {
int cur = sub(mul(pw(k, i - m), total), f[i - m]);
/// cerr << i << endl;
/// cerr << pw(k, i - m) << " " << f[i - m] << endl;
/// cerr << i << ": " << cur << endl;
ans = add(ans, mul(cur, pw(k, n - i)));
}
cout << ans << "\n";
return 0;
}
这程序好像有点Bug,我给组数据试试?
详细
Test #1:
score: 100
Accepted
time: 0ms
memory: 4776kb
input:
4 2 3
output:
228
result:
ok 1 number(s): "228"
Test #2:
score: 0
Accepted
time: 216ms
memory: 8108kb
input:
999999 1999 12345678
output:
52352722
result:
ok 1 number(s): "52352722"
Test #3:
score: 0
Accepted
time: 2ms
memory: 4728kb
input:
7 4 2
output:
182
result:
ok 1 number(s): "182"
Test #4:
score: 0
Accepted
time: 3ms
memory: 4964kb
input:
4 3 4
output:
480
result:
ok 1 number(s): "480"
Test #5:
score: 0
Accepted
time: 0ms
memory: 4764kb
input:
3 1 1
output:
3
result:
ok 1 number(s): "3"
Test #6:
score: 0
Accepted
time: 2ms
memory: 4784kb
input:
5 5 1
output:
0
result:
ok 1 number(s): "0"
Test #7:
score: 0
Accepted
time: 0ms
memory: 4800kb
input:
7 4 3
output:
5784
result:
ok 1 number(s): "5784"
Test #8:
score: 0
Accepted
time: 2ms
memory: 4752kb
input:
5 2 4
output:
3932
result:
ok 1 number(s): "3932"
Test #9:
score: 0
Accepted
time: 2ms
memory: 4752kb
input:
8 2 2
output:
1522
result:
ok 1 number(s): "1522"
Test #10:
score: 0
Accepted
time: 2ms
memory: 4712kb
input:
8 1 2
output:
2048
result:
ok 1 number(s): "2048"
Test #11:
score: 0
Accepted
time: 2ms
memory: 4820kb
input:
7 5 3
output:
2430
result:
ok 1 number(s): "2430"
Test #12:
score: 0
Accepted
time: 2ms
memory: 4728kb
input:
10 4 3
output:
272004
result:
ok 1 number(s): "272004"
Test #13:
score: 0
Accepted
time: 124ms
memory: 7072kb
input:
675978 614 2
output:
0
result:
ok 1 number(s): "0"
Test #14:
score: 0
Accepted
time: 43ms
memory: 5140kb
input:
244613 38 1
output:
0
result:
ok 1 number(s): "0"
Test #15:
score: 0
Accepted
time: 34ms
memory: 5024kb
input:
186293 1462 1
output:
0
result:
ok 1 number(s): "0"
Test #16:
score: 0
Accepted
time: 6ms
memory: 4916kb
input:
24867 886 1
output:
0
result:
ok 1 number(s): "0"
Test #17:
score: 0
Accepted
time: 186ms
memory: 8136kb
input:
976164 1014 2
output:
0
result:
ok 1 number(s): "0"
Test #18:
score: 0
Accepted
time: 32ms
memory: 4864kb
input:
179356 2 716844809
output:
577866092
result:
ok 1 number(s): "577866092"
Test #19:
score: 0
Accepted
time: 119ms
memory: 6712kb
input:
621001 130 310625363
output:
892869197
result:
ok 1 number(s): "892869197"
Test #20:
score: 0
Accepted
time: 132ms
memory: 6988kb
input:
678862 850 754662812
output:
582264789
result:
ok 1 number(s): "582264789"
Test #21:
score: 0
Accepted
time: 127ms
memory: 6748kb
input:
650845 978 348443366
output:
825425732
result:
ok 1 number(s): "825425732"
Test #22:
score: 0
Accepted
time: 128ms
memory: 7080kb
input:
669914 402 87448112
output:
318098088
result:
ok 1 number(s): "318098088"
Test #23:
score: 0
Accepted
time: 202ms
memory: 8088kb
input:
998593 530 681228665
output:
408255654
result:
ok 1 number(s): "408255654"
Test #24:
score: 0
Accepted
time: 80ms
memory: 5708kb
input:
369361 1954 125266115
output:
509912384
result:
ok 1 number(s): "509912384"
Test #25:
score: 0
Accepted
time: 178ms
memory: 7872kb
input:
900226 1378 424079373
output:
406320917
result:
ok 1 number(s): "406320917"
Test #26:
score: 0
Accepted
time: 70ms
memory: 5752kb
input:
334887 1506 17859926
output:
503264679
result:
ok 1 number(s): "503264679"
Test #27:
score: 0
Accepted
time: 195ms
memory: 8208kb
input:
936048 544 53978328
output:
548647866
result:
ok 1 number(s): "548647866"
Test #28:
score: 0
Accepted
time: 29ms
memory: 4928kb
input:
152789 1264 792983073
output:
839541707
result:
ok 1 number(s): "839541707"
Test #29:
score: 0
Accepted
time: 154ms
memory: 6992kb
input:
714493 1392 91796331
output:
721071046
result:
ok 1 number(s): "721071046"
Test #30:
score: 0
Accepted
time: 50ms
memory: 5452kb
input:
269571 816 830801077
output:
330064211
result:
ok 1 number(s): "330064211"
Test #31:
score: 0
Accepted
time: 178ms
memory: 7476kb
input:
845120 944 424581630
output:
348960190
result:
ok 1 number(s): "348960190"
Test #32:
score: 0
Accepted
time: 107ms
memory: 6496kb
input:
533990 368 163586376
output:
522092095
result:
ok 1 number(s): "522092095"
Test #33:
score: 0
Accepted
time: 42ms
memory: 4908kb
input:
181707 1792 462399634
output:
373795106
result:
ok 1 number(s): "373795106"
Test #34:
score: 0
Accepted
time: 91ms
memory: 6064kb
input:
417349 1920 761212891
output:
587051329
result:
ok 1 number(s): "587051329"
Test #35:
score: 0
Accepted
time: 104ms
memory: 6220kb
input:
526583 1344 500217637
output:
108767800
result:
ok 1 number(s): "108767800"
Test #36:
score: 0
Accepted
time: 175ms
memory: 7496kb
input:
867054 769 93998191
output:
239123369
result:
ok 1 number(s): "239123369"
Extra Test:
score: 0
Extra Test Passed