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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 |
---|---|---|---|---|---|---|---|---|---|
#50716 | #4807. Melborp Lacissalc | alittlestory | AC ✓ | 11ms | 3752kb | C++ | 2.8kb | 2022-09-28 20:15:41 | 2022-09-28 20:15:44 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define rep(i,a,n) for (int i=a;i<n;i++)
#define per(i,a,n) for (int i=n-1;i>=a;i--)
#define pb push_back
#define eb emplace_back
#define mp make_pair
#define all(x) (x).begin(),(x).end()
#define fi first
#define se second
#define SZ(x) ((int)(x).size())
typedef vector<int> VI;
typedef pair<int, int> PII;
typedef long long ll;
typedef double db;
mt19937 mrand(random_device{}());
const ll mod=998244353;
int rnd(int x) { return mrand() % x;}
ll powmod(ll a, ll b, ll mod) {ll res=1;a%=mod;
assert(b>=0);for(;b;b>>=1){if(b&1)res=res*a%mod;
a=a*a%mod;};return res;}
ll gcd(ll a, ll b) {return b?gcd(b, a%b):a;}
template<class T>
void chkmin(T&x,T y){x=min(x,y);}
template<class T>
void chkmax(T&x,T y){x=max(x,y);}
template<class T>
void add(T&x,T y){x+=y;if(x>=mod)x-=mod;}
template<class T>
void sub(T&x,T y){x-=y;if(x<0)x+=mod;}
// head
const int N = 110;
int n, k, t, cnt;
int a[N];
ll f[N], ans, invf[N];
ll c(int n, int m) {
//cout << n << ' ' << m << '\n';
if (n < m) return 0;
return f[n] * invf[m] % mod * invf[n - m] % mod;
}
void dfs(int x, int cur, int last, int res, int tot) {
//cout << cur << '\n';
if ((x - cur) * last < res) return;
if (tot > t) return ;
if (tot + res * (res - 1) / 2 < t) return ;
if (cur == x) {
if (res || tot != t) return;
/*cout << cnt << ' ';
for (int i = 0; i < x; i++) cout << a[i] << ' ';
cout << '\n';*/
ll p = f[x];
VI b;
if (cnt) b.pb(cnt);
for (int i = 0; i < x; i++)
if (a[i]) b.pb(a[i]);
for (int i = 0, j; i < x; i = j + 1) {
j = i;
while (j + 1 < x && a[j + 1] == a[j]) ++j;
p = p * powmod(f[j - i + 1], mod - 2, mod) % mod;
}
//cout << p << '\n';
int r = n;
for (int i : b) {
p = c(r, i) * p % mod;
r -= i;
}
//cout << p << '\n';
add(ans, p);
return ;
}
for (int i = min(res, last); i >= 0; i--) {
a[cur] = i;
dfs(x, cur + 1, i, res - i, tot + i * (i - 1) / 2);
}
}
void solve() {
// to solve a single test case
f[0] = 1;
cin >> n >> k >> t;
for (int i = 1; i <= 64; i++) {
f[i] = f[i - 1] * i % mod;
invf[i] = powmod(f[i], mod - 2, mod);
}
invf[0] = 1;
for (cnt = 0; cnt <= n; cnt++) {
//cout << cnt << '\n';
dfs(k - 1, 0, n - cnt, n - cnt, cnt * (cnt + 1) / 2);
}
cout << ans << '\n';
}
int main() {
ios::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
int tt;
//cin >> tt;
tt = 1;
while (tt--) {
solve();
}
return 0;
}
详细
Test #1:
score: 100
Accepted
time: 2ms
memory: 3644kb
input:
2 5 1
output:
12
result:
ok 1 number(s): "12"
Test #2:
score: 0
Accepted
time: 2ms
memory: 3568kb
input:
7 10 15
output:
2016
result:
ok 1 number(s): "2016"
Test #3:
score: 0
Accepted
time: 11ms
memory: 3652kb
input:
46 50 171
output:
645560469
result:
ok 1 number(s): "645560469"
Test #4:
score: 0
Accepted
time: 0ms
memory: 3504kb
input:
64 64 0
output:
0
result:
ok 1 number(s): "0"
Test #5:
score: 0
Accepted
time: 2ms
memory: 3576kb
input:
64 64 1
output:
326126263
result:
ok 1 number(s): "326126263"
Test #6:
score: 0
Accepted
time: 2ms
memory: 3580kb
input:
63 64 0
output:
4476118
result:
ok 1 number(s): "4476118"
Test #7:
score: 0
Accepted
time: 1ms
memory: 3636kb
input:
11 45 14
output:
963276342
result:
ok 1 number(s): "963276342"
Test #8:
score: 0
Accepted
time: 2ms
memory: 3716kb
input:
35 20 565
output:
0
result:
ok 1 number(s): "0"
Test #9:
score: 0
Accepted
time: 2ms
memory: 3628kb
input:
3 64 5
output:
0
result:
ok 1 number(s): "0"
Test #10:
score: 0
Accepted
time: 2ms
memory: 3568kb
input:
35 45 153
output:
181934997
result:
ok 1 number(s): "181934997"
Test #11:
score: 0
Accepted
time: 1ms
memory: 3560kb
input:
3 25 5
output:
0
result:
ok 1 number(s): "0"
Test #12:
score: 0
Accepted
time: 2ms
memory: 3636kb
input:
35 5 373
output:
740122840
result:
ok 1 number(s): "740122840"
Test #13:
score: 0
Accepted
time: 2ms
memory: 3640kb
input:
3 50 5
output:
0
result:
ok 1 number(s): "0"
Test #14:
score: 0
Accepted
time: 0ms
memory: 3660kb
input:
35 30 592
output:
0
result:
ok 1 number(s): "0"
Test #15:
score: 0
Accepted
time: 1ms
memory: 3572kb
input:
3 11 1
output:
540
result:
ok 1 number(s): "540"
Test #16:
score: 0
Accepted
time: 2ms
memory: 3644kb
input:
35 55 352
output:
656633208
result:
ok 1 number(s): "656633208"
Test #17:
score: 0
Accepted
time: 5ms
memory: 3580kb
input:
54 38 356
output:
215089708
result:
ok 1 number(s): "215089708"
Test #18:
score: 0
Accepted
time: 2ms
memory: 3544kb
input:
22 19 189
output:
0
result:
ok 1 number(s): "0"
Test #19:
score: 0
Accepted
time: 5ms
memory: 3580kb
input:
54 63 401
output:
987604839
result:
ok 1 number(s): "987604839"
Test #20:
score: 0
Accepted
time: 2ms
memory: 3644kb
input:
22 43 171
output:
827743481
result:
ok 1 number(s): "827743481"
Test #21:
score: 0
Accepted
time: 4ms
memory: 3644kb
input:
54 24 446
output:
551546514
result:
ok 1 number(s): "551546514"
Test #22:
score: 0
Accepted
time: 2ms
memory: 3720kb
input:
22 4 152
output:
0
result:
ok 1 number(s): "0"
Test #23:
score: 0
Accepted
time: 1ms
memory: 3644kb
input:
54 48 1306
output:
0
result:
ok 1 number(s): "0"
Test #24:
score: 0
Accepted
time: 3ms
memory: 3556kb
input:
22 29 7
output:
374430631
result:
ok 1 number(s): "374430631"
Test #25:
score: 0
Accepted
time: 3ms
memory: 3664kb
input:
54 9 1351
output:
0
result:
ok 1 number(s): "0"
Test #26:
score: 0
Accepted
time: 3ms
memory: 3628kb
input:
22 54 5
output:
267958047
result:
ok 1 number(s): "267958047"
Test #27:
score: 0
Accepted
time: 2ms
memory: 3564kb
input:
64 32 1315
output:
494251101
result:
ok 1 number(s): "494251101"
Test #28:
score: 0
Accepted
time: 0ms
memory: 3752kb
input:
33 12 332
output:
765350074
result:
ok 1 number(s): "765350074"
Test #29:
score: 0
Accepted
time: 2ms
memory: 3552kb
input:
1 57 1
output:
1
result:
ok 1 number(s): "1"
Test #30:
score: 0
Accepted
time: 2ms
memory: 3552kb
input:
33 37 363
output:
0
result:
ok 1 number(s): "0"
Test #31:
score: 0
Accepted
time: 1ms
memory: 3740kb
input:
1 17 0
output:
16
result:
ok 1 number(s): "16"
Test #32:
score: 0
Accepted
time: 0ms
memory: 3660kb
input:
33 62 148
output:
871819399
result:
ok 1 number(s): "871819399"
Test #33:
score: 0
Accepted
time: 2ms
memory: 3548kb
input:
1 42 0
output:
41
result:
ok 1 number(s): "41"
Test #34:
score: 0
Accepted
time: 2ms
memory: 3564kb
input:
33 23 179
output:
23699248
result:
ok 1 number(s): "23699248"
Test #35:
score: 0
Accepted
time: 2ms
memory: 3504kb
input:
1 3 1
output:
1
result:
ok 1 number(s): "1"
Test #36:
score: 0
Accepted
time: 2ms
memory: 3632kb
input:
33 47 211
output:
267909794
result:
ok 1 number(s): "267909794"
Test #37:
score: 0
Accepted
time: 2ms
memory: 3656kb
input:
11 26 32
output:
0
result:
ok 1 number(s): "0"
Test #38:
score: 0
Accepted
time: 2ms
memory: 3548kb
input:
43 6 579
output:
280289125
result:
ok 1 number(s): "280289125"
Test #39:
score: 0
Accepted
time: 0ms
memory: 3664kb
input:
11 50 5
output:
865381083
result:
ok 1 number(s): "865381083"
Test #40:
score: 0
Accepted
time: 2ms
memory: 3564kb
input:
43 31 750
output:
0
result:
ok 1 number(s): "0"
Test #41:
score: 0
Accepted
time: 2ms
memory: 3660kb
input:
11 11 12
output:
753565341
result:
ok 1 number(s): "753565341"
Test #42:
score: 0
Accepted
time: 2ms
memory: 3640kb
input:
43 56 290
output:
575236094
result:
ok 1 number(s): "575236094"
Test #43:
score: 0
Accepted
time: 2ms
memory: 3644kb
input:
11 36 52
output:
0
result:
ok 1 number(s): "0"
Test #44:
score: 0
Accepted
time: 2ms
memory: 3544kb
input:
44 16 0
output:
0
result:
ok 1 number(s): "0"
Test #45:
score: 0
Accepted
time: 2ms
memory: 3684kb
input:
12 61 31
output:
682427534
result:
ok 1 number(s): "682427534"
Test #46:
score: 0
Accepted
time: 1ms
memory: 3644kb
input:
44 41 365
output:
759457870
result:
ok 1 number(s): "759457870"
Test #47:
score: 0
Accepted
time: 2ms
memory: 3568kb
input:
22 19 70
output:
247296498
result:
ok 1 number(s): "247296498"
Test #48:
score: 0
Accepted
time: 4ms
memory: 3568kb
input:
54 64 444
output:
418216086
result:
ok 1 number(s): "418216086"
Test #49:
score: 0
Accepted
time: 2ms
memory: 3508kb
input:
22 44 52
output:
779702126
result:
ok 1 number(s): "779702126"
Test #50:
score: 0
Accepted
time: 2ms
memory: 3660kb
input:
54 25 1303
output:
0
result:
ok 1 number(s): "0"
Test #51:
score: 0
Accepted
time: 2ms
memory: 3624kb
input:
22 5 49
output:
219556981
result:
ok 1 number(s): "219556981"
Test #52:
score: 0
Accepted
time: 2ms
memory: 3684kb
input:
54 49 1269
output:
0
result:
ok 1 number(s): "0"
Test #53:
score: 0
Accepted
time: 0ms
memory: 3736kb
input:
22 30 14
output:
719775605
result:
ok 1 number(s): "719775605"
Test #54:
score: 0
Accepted
time: 1ms
memory: 3564kb
input:
54 10 1314
output:
0
result:
ok 1 number(s): "0"
Test #55:
score: 0
Accepted
time: 2ms
memory: 3636kb
input:
22 54 12
output:
325137058
result:
ok 1 number(s): "325137058"
Test #56:
score: 0
Accepted
time: 2ms
memory: 3720kb
input:
54 35 1359
output:
0
result:
ok 1 number(s): "0"
Test #57:
score: 0
Accepted
time: 2ms
memory: 3632kb
input:
33 13 335
output:
202725820
result:
ok 1 number(s): "202725820"
Test #58:
score: 0
Accepted
time: 0ms
memory: 3640kb
input:
64 64 2080
output:
1
result:
ok 1 number(s): "1"
Test #59:
score: 0
Accepted
time: 0ms
memory: 3508kb
input:
1 1 0
output:
0
result:
ok 1 number(s): "0"
Test #60:
score: 0
Accepted
time: 2ms
memory: 3568kb
input:
1 1 1
output:
1
result:
ok 1 number(s): "1"
Test #61:
score: 0
Accepted
time: 1ms
memory: 3720kb
input:
63 63 2016
output:
1
result:
ok 1 number(s): "1"