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ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#320451 | #8211. Enumerating Substrings | ucup-team2303# | AC ✓ | 143ms | 75572kb | C++11 | 2.2kb | 2024-02-03 17:01:28 | 2024-02-03 17:01:29 |
Judging History
answer
/*
60 + 0 + 100 + 64 = 224.
*/
#include <bits/stdc++.h>
using namespace std;
#define int long long
//#define int __int128
#define L(i, j, k) for (int i = (j); i <= (k); i++)
#define R(i, j, k) for (int i = (j); i >= (k); i--)
#define pb push_back
#define pii pair<int, int>
inline int read()
{
int sum = 0, nega = 1;
char ch = getchar();
while (ch > '9'||ch < '0')
{
if (ch == '-') nega = -1;
ch = getchar();
}
while (ch <= '9' && ch >= '0') sum = sum * 10 + ch - '0', ch = getchar();
return sum * nega;
}
const int N = 4009, M = 2e6 + 9, mod = 1e9 + 7, inv2 = (mod + 1) / 2;
inline void add(int &x, int y) {x = (x + y) % mod;}
inline void del(int &x, int y) {x = (x - y + mod) % mod;}
inline int Pow(int x, int y)
{
int res = 1, base = x % mod;
while(y)
{
if(y & 1) res = res * base % mod;
base = base * base % mod; y >>= 1;
} return res;
}
int tt[N];
int n, m, k, ans, C[N][N], jc[N], nw, pown[M];
inline int f(int x, int y)
{
if(x == 0 && y == 0) return 1;
if(y <= (x - 1) / 2) return 0;
if(y <= 0) return 0;
int res = 0;
tt[0] = 1;
L(i, 1, x) tt[i] = tt[i - 1] * (y - i + 1) % mod * Pow(i, mod - 2) % mod;
L(i, 0, x / 2)
{
int tmp = tt[x - i] * C[x - i][i] % mod;
tmp = tmp * jc[x] % mod; tmp = tmp * Pow(inv2, i) % mod;
res = (res + tmp) % mod;
}
return res;
}
signed main()
{
n = read(), m = read(), k = read(); pown[0] = 1;
L(i, 1, n) pown[i] = pown[i - 1] * k % mod;
L(i, 0, m) C[i][i] = C[i][0] = 1;
jc[0] = 1;
L(i, 1, m) jc[i] = jc[i - 1] * i % mod;
L(i, 1, m)
L(j, 1, i - 1) C[i][j] = (C[i - 1][j] + C[i - 1][j - 1]) % mod;
ans = (ans + f(m, k) * Pow(k, n - m) % mod * (n - m + 1) % mod) % mod;
nw = 1;
L(i, 1, m / 2)
{
nw = nw * (k - i + 1) % mod;
int tt = f(m - i * 2, k - i) * nw % mod, sum = 0;
L(j, 2, 1e9)
{
int w = m + (m - i) * (j - 1);
if(w > n) break;
if(j % 2 == 0) sum = (sum - pown[n - w] * (n - w + 1) % mod + mod) % mod;
else sum = (sum + pown[n - w] * (n - w + 1) % mod) % mod;
}
ans = (ans + sum * tt % mod) % mod;
}
ans = (ans % mod + mod) % mod;
cout << ans << endl;
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: 1ms
memory: 5768kb
input:
4 2 3
output:
228
result:
ok 1 number(s): "228"
Test #2:
score: 0
Accepted
time: 143ms
memory: 75572kb
input:
999999 1999 12345678
output:
52352722
result:
ok 1 number(s): "52352722"
Test #3:
score: 0
Accepted
time: 1ms
memory: 5592kb
input:
7 4 2
output:
182
result:
ok 1 number(s): "182"
Test #4:
score: 0
Accepted
time: 1ms
memory: 5772kb
input:
4 3 4
output:
480
result:
ok 1 number(s): "480"
Test #5:
score: 0
Accepted
time: 1ms
memory: 5644kb
input:
3 1 1
output:
3
result:
ok 1 number(s): "3"
Test #6:
score: 0
Accepted
time: 1ms
memory: 5652kb
input:
5 5 1
output:
0
result:
ok 1 number(s): "0"
Test #7:
score: 0
Accepted
time: 1ms
memory: 5732kb
input:
7 4 3
output:
5784
result:
ok 1 number(s): "5784"
Test #8:
score: 0
Accepted
time: 0ms
memory: 5784kb
input:
5 2 4
output:
3932
result:
ok 1 number(s): "3932"
Test #9:
score: 0
Accepted
time: 0ms
memory: 5716kb
input:
8 2 2
output:
1522
result:
ok 1 number(s): "1522"
Test #10:
score: 0
Accepted
time: 1ms
memory: 5636kb
input:
8 1 2
output:
2048
result:
ok 1 number(s): "2048"
Test #11:
score: 0
Accepted
time: 0ms
memory: 5720kb
input:
7 5 3
output:
2430
result:
ok 1 number(s): "2430"
Test #12:
score: 0
Accepted
time: 1ms
memory: 5596kb
input:
10 4 3
output:
272004
result:
ok 1 number(s): "272004"
Test #13:
score: 0
Accepted
time: 9ms
memory: 31720kb
input:
675978 614 2
output:
0
result:
ok 1 number(s): "0"
Test #14:
score: 0
Accepted
time: 0ms
memory: 9720kb
input:
244613 38 1
output:
0
result:
ok 1 number(s): "0"
Test #15:
score: 0
Accepted
time: 4ms
memory: 53748kb
input:
186293 1462 1
output:
0
result:
ok 1 number(s): "0"
Test #16:
score: 0
Accepted
time: 0ms
memory: 36616kb
input:
24867 886 1
output:
0
result:
ok 1 number(s): "0"
Test #17:
score: 0
Accepted
time: 14ms
memory: 45792kb
input:
976164 1014 2
output:
0
result:
ok 1 number(s): "0"
Test #18:
score: 0
Accepted
time: 0ms
memory: 7760kb
input:
179356 2 716844809
output:
577866092
result:
ok 1 number(s): "577866092"
Test #19:
score: 0
Accepted
time: 3ms
memory: 15736kb
input:
621001 130 310625363
output:
892869197
result:
ok 1 number(s): "892869197"
Test #20:
score: 0
Accepted
time: 35ms
memory: 39540kb
input:
678862 850 754662812
output:
582264789
result:
ok 1 number(s): "582264789"
Test #21:
score: 0
Accepted
time: 42ms
memory: 41656kb
input:
650845 978 348443366
output:
825425732
result:
ok 1 number(s): "825425732"
Test #22:
score: 0
Accepted
time: 10ms
memory: 23832kb
input:
669914 402 87448112
output:
318098088
result:
ok 1 number(s): "318098088"
Test #23:
score: 0
Accepted
time: 23ms
memory: 30152kb
input:
998593 530 681228665
output:
408255654
result:
ok 1 number(s): "408255654"
Test #24:
score: 0
Accepted
time: 124ms
memory: 70612kb
input:
369361 1954 125266115
output:
509912384
result:
ok 1 number(s): "509912384"
Test #25:
score: 0
Accepted
time: 76ms
memory: 57096kb
input:
900226 1378 424079373
output:
406320917
result:
ok 1 number(s): "406320917"
Test #26:
score: 0
Accepted
time: 79ms
memory: 56304kb
input:
334887 1506 17859926
output:
503264679
result:
ok 1 number(s): "503264679"
Test #27:
score: 0
Accepted
time: 23ms
memory: 31448kb
input:
936048 544 53978328
output:
548647866
result:
ok 1 number(s): "548647866"
Test #28:
score: 0
Accepted
time: 52ms
memory: 47632kb
input:
152789 1264 792983073
output:
839541707
result:
ok 1 number(s): "839541707"
Test #29:
score: 0
Accepted
time: 72ms
memory: 56632kb
input:
714493 1392 91796331
output:
721071046
result:
ok 1 number(s): "721071046"
Test #30:
score: 0
Accepted
time: 26ms
memory: 36016kb
input:
269571 816 830801077
output:
330064211
result:
ok 1 number(s): "330064211"
Test #31:
score: 0
Accepted
time: 38ms
memory: 42864kb
input:
845120 944 424581630
output:
348960190
result:
ok 1 number(s): "348960190"
Test #32:
score: 0
Accepted
time: 3ms
memory: 21316kb
input:
533990 368 163586376
output:
522092095
result:
ok 1 number(s): "522092095"
Test #33:
score: 0
Accepted
time: 101ms
memory: 64408kb
input:
181707 1792 462399634
output:
373795106
result:
ok 1 number(s): "373795106"
Test #34:
score: 0
Accepted
time: 120ms
memory: 69480kb
input:
417349 1920 761212891
output:
587051329
result:
ok 1 number(s): "587051329"
Test #35:
score: 0
Accepted
time: 64ms
memory: 51644kb
input:
526583 1344 500217637
output:
108767800
result:
ok 1 number(s): "108767800"
Test #36:
score: 0
Accepted
time: 32ms
memory: 38924kb
input:
867054 769 93998191
output:
239123369
result:
ok 1 number(s): "239123369"
Extra Test:
score: 0
Extra Test Passed