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QOJ
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 |
---|---|---|---|---|---|---|---|---|---|
#885299 | #1816. Multiple Parentheses | yuanruiqi | AC ✓ | 266ms | 238176kb | C++26 | 1.1kb | 2025-02-06 15:09:31 | 2025-02-06 15:09:41 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
using i64 = long long;
constexpr int maxn = 30000000 + 50;
constexpr int mod = 998244353;
int fac[maxn], inv[maxn];
i64 qp(i64 a, i64 b)
{
i64 c = 1;
for (; b; b>>=1, a=a*a%mod)
if (b & 1) c=c*a%mod;
return c;
}
i64 C(int n, int m)
{
if (n < m || m < 0) return 0;
return (i64) fac[n] * inv[m] % mod * inv[n - m] % mod;
}
i64 F(int n, int m)
{
if (!m) return 1;
return (C(m + m + n - 1, m) - C(m + m + n - 1, m - 1) + mod);
}
int main()
{
ios::sync_with_stdio(0);
cin.tie(0);
int n, m, k;
cin >> n >> m >> k;
fac[0] = 1;
for (int i=1;i<maxn;++i) fac[i] = (i64) fac[i - 1] * i % mod;
inv[maxn - 1] = qp(fac[maxn - 1], mod - 2);
for (int i=maxn-2;i>=0;--i) inv[i] = inv[i + 1] * (i + 1ll) % mod;
i64 ans = 0;
i64 x = F(1, k) % mod, y = 1;
for (int i=0;i*k<=m&&i<=n;++i)
{
ans = (ans + (i & 1 ? mod - 1 : 1) * C(n, i) % mod * F(n - i, m - i * k) % mod * y) % mod;
y = y * x % mod;
}
cout << ans << '\n';
return 0;
}
详细
Test #1:
score: 100
Accepted
time: 259ms
memory: 238144kb
input:
2 2 1
output:
4
result:
ok answer is '4'
Test #2:
score: 0
Accepted
time: 253ms
memory: 238020kb
input:
1 1 1
output:
0
result:
ok answer is '0'
Test #3:
score: 0
Accepted
time: 260ms
memory: 238080kb
input:
24 120 30
output:
379268651
result:
ok answer is '379268651'
Test #4:
score: 0
Accepted
time: 260ms
memory: 238048kb
input:
1451 1598 1130
output:
884873572
result:
ok answer is '884873572'
Test #5:
score: 0
Accepted
time: 255ms
memory: 237972kb
input:
1324 1742 1033
output:
856733047
result:
ok answer is '856733047'
Test #6:
score: 0
Accepted
time: 259ms
memory: 238124kb
input:
1378 1614 1335
output:
869903701
result:
ok answer is '869903701'
Test #7:
score: 0
Accepted
time: 258ms
memory: 237944kb
input:
1071 1907 1281
output:
327700529
result:
ok answer is '327700529'
Test #8:
score: 0
Accepted
time: 258ms
memory: 238048kb
input:
1204 1337 1277
output:
475981175
result:
ok answer is '475981175'
Test #9:
score: 0
Accepted
time: 259ms
memory: 238108kb
input:
146 246 100
output:
404402509
result:
ok answer is '404402509'
Test #10:
score: 0
Accepted
time: 259ms
memory: 238172kb
input:
226 183 144
output:
351921989
result:
ok answer is '351921989'
Test #11:
score: 0
Accepted
time: 256ms
memory: 238084kb
input:
234 287 158
output:
658959115
result:
ok answer is '658959115'
Test #12:
score: 0
Accepted
time: 259ms
memory: 238156kb
input:
242 156 122
output:
325586111
result:
ok answer is '325586111'
Test #13:
score: 0
Accepted
time: 259ms
memory: 238048kb
input:
168 271 135
output:
181613866
result:
ok answer is '181613866'
Test #14:
score: 0
Accepted
time: 259ms
memory: 237948kb
input:
22 25 1
output:
684860973
result:
ok answer is '684860973'
Test #15:
score: 0
Accepted
time: 261ms
memory: 237960kb
input:
45 22 15
output:
217501624
result:
ok answer is '217501624'
Test #16:
score: 0
Accepted
time: 253ms
memory: 238164kb
input:
47 29 16
output:
690840771
result:
ok answer is '690840771'
Test #17:
score: 0
Accepted
time: 259ms
memory: 238052kb
input:
2 25 25
output:
660660974
result:
ok answer is '660660974'
Test #18:
score: 0
Accepted
time: 257ms
memory: 237980kb
input:
32 34 11
output:
133387056
result:
ok answer is '133387056'
Test #19:
score: 0
Accepted
time: 259ms
memory: 238164kb
input:
88196 118335 104471
output:
7192211
result:
ok answer is '7192211'
Test #20:
score: 0
Accepted
time: 256ms
memory: 238032kb
input:
142215 57117 51272
output:
627598793
result:
ok answer is '627598793'
Test #21:
score: 0
Accepted
time: 257ms
memory: 238148kb
input:
102255 60360 51525
output:
447649003
result:
ok answer is '447649003'
Test #22:
score: 0
Accepted
time: 255ms
memory: 238156kb
input:
132449 83413 54230
output:
215816803
result:
ok answer is '215816803'
Test #23:
score: 0
Accepted
time: 256ms
memory: 238104kb
input:
68499 95762 77190
output:
393029560
result:
ok answer is '393029560'
Test #24:
score: 0
Accepted
time: 266ms
memory: 237988kb
input:
751951 751951 1
output:
804170883
result:
ok answer is '804170883'
Test #25:
score: 0
Accepted
time: 257ms
memory: 238012kb
input:
804420 1962 410
output:
869056555
result:
ok answer is '869056555'
Test #26:
score: 0
Accepted
time: 257ms
memory: 238000kb
input:
828607 63739 13
output:
926542030
result:
ok answer is '926542030'
Test #27:
score: 0
Accepted
time: 259ms
memory: 237968kb
input:
472167 20529 23
output:
142703540
result:
ok answer is '142703540'
Test #28:
score: 0
Accepted
time: 260ms
memory: 237992kb
input:
363438 363438 1
output:
764563597
result:
ok answer is '764563597'
Test #29:
score: 0
Accepted
time: 256ms
memory: 238176kb
input:
1000000 1000000 628333
output:
283487375
result:
ok answer is '283487375'
Test #30:
score: 0
Accepted
time: 260ms
memory: 238028kb
input:
1000000 1000000 900084
output:
651386967
result:
ok answer is '651386967'
Test #31:
score: 0
Accepted
time: 256ms
memory: 238164kb
input:
1000000 1000000 27328
output:
621963453
result:
ok answer is '621963453'
Test #32:
score: 0
Accepted
time: 259ms
memory: 238016kb
input:
1000000 1000000 538409
output:
997879100
result:
ok answer is '997879100'
Test #33:
score: 0
Accepted
time: 260ms
memory: 237948kb
input:
1000000 1000000 928121
output:
964724707
result:
ok answer is '964724707'
Test #34:
score: 0
Accepted
time: 254ms
memory: 237960kb
input:
685624 665877 563708
output:
257429683
result:
ok answer is '257429683'
Test #35:
score: 0
Accepted
time: 259ms
memory: 237980kb
input:
692290 942095 553970
output:
82511143
result:
ok answer is '82511143'
Test #36:
score: 0
Accepted
time: 257ms
memory: 238024kb
input:
579579 765702 631728
output:
954001361
result:
ok answer is '954001361'
Test #37:
score: 0
Accepted
time: 257ms
memory: 238040kb
input:
756854 634736 567170
output:
393747028
result:
ok answer is '393747028'
Test #38:
score: 0
Accepted
time: 256ms
memory: 238128kb
input:
649175 997874 511181
output:
242172216
result:
ok answer is '242172216'
Test #39:
score: 0
Accepted
time: 255ms
memory: 238116kb
input:
786431 1000000 999999
output:
627359027
result:
ok answer is '627359027'