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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 |
---|---|---|---|---|---|---|---|---|---|
#91654 | #4903. 细菌 | Walking_Dead | 0 | 7ms | 18792kb | C++14 | 4.0kb | 2023-03-29 11:23:39 | 2023-03-29 11:23:40 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define mod 998244353
#define MAXN 800005
// char buf[1<<21],*p1=buf,*p2=buf;
// #define getchar() (p1==p2 && (p2=(p1=buf)+fread(buf,1,1<<21,stdin),p1==p2)?EOF:*p1++)
template <typename T> inline void read (T &t){t = 0;char c = getchar();int f = 1;while (c < '0' || c > '9'){if (c == '-') f = -f;c = getchar();}while (c >= '0' && c <= '9'){t = (t << 3) + (t << 1) + c - '0';c = getchar();} t *= f;}
template <typename T,typename ... Args> inline void read (T &t,Args&... args){read (t);read (args...);}
template <typename T> inline void write (T x){if (x < 0){x = -x;putchar ('-');}if (x > 9) write (x / 10);putchar (x % 10 + '0');}
template <typename T> inline void chkmax (T &a,T b){a = max (a,b);}
template <typename T> inline void chkmin (T &a,T b){a = min (a,b);}
int D,N,M,K,X,Y,Z;
int fac[MAXN],ifac[MAXN];
int sqr (int x){return 1ll * x * x % mod;}
int mul (int a,int b){return 1ll * a * b % mod;}
int dec (int a,int b){return a >= b ? a - b : a + mod - b;}
int add (int a,int b){return a + b >= mod ? a + b - mod : a + b;}
int qkpow (int a,int b){
int res = 1;for (;b;b >>= 1,a = mul (a,a)) if (b & 1) res = mul (res,a);
return res;
}
void Add (int &a,int b){a = add (a,b);}
void Sub (int &a,int b){a = dec (a,b);}
int binom (int a,int b){return a >= b ? mul (fac[a],mul (ifac[b],ifac[a - b])) : 0;}
int getit (int t,int k){//走t步,位移量为k的方案数
if (t + k & 1) return 0;
int s = t + k >> 1;
if (s < 0 || s > t) return 0;
return binom (t,s);
}
typedef vector<int> poly;
int w[MAXN],rev[MAXN];
#define SZ(A) ((int)A.size())
void init_ntt (){
int lim = 1 << 18;
for (int i = 0;i < lim;++ i) rev[i] = (rev[i >> 1] >> 1) | ((i & 1) << 17);
int Wn = qkpow (3,(mod - 1) / lim);w[lim >> 1] = 1;
for (int i = lim / 2 + 1;i < lim;++ i) w[i] = mul (w[i - 1],Wn);
for (int i = lim / 2 - 1;i;-- i) w[i] = w[i << 1];
}
void ntt (poly &a,int type){
#define G 3
#define Gi 332748118
static int d[MAXN];int lim = a.size();
for (int i = 0,z = 18 - __builtin_ctz(lim);i < lim;++ i) d[rev[i] >> z] = a[i];
for (int i = 1;i < lim;i <<= 1)
for (int j = 0;j < lim;j += i << 1)
for (int k = 0;k < i;++ k){
int x = mul (w[i + k],d[i + j + k]);
d[i + j + k] = dec (d[j + k],x),d[j + k] = add (d[j + k],x);
}
for (int i = 0;i < lim;++ i) a[i] = d[i] % mod;
if (type == -1){
reverse (a.begin() + 1,a.begin() + lim);
for (int i = 0,Inv = qkpow (lim,mod - 2);i < lim;++ i) a[i] = mul (a[i],Inv);
}
#undef G
#undef Gi
}
poly operator * (poly A,poly B){
int lim = 1,l = 0,len = SZ(A) + SZ(B) - 1;
while (lim < SZ(A) + SZ(B)) lim <<= 1,++ l;
A.resize (lim),B.resize (lim),ntt (A,1),ntt (B,1);
for (int i = 0;i < lim;++ i) A[i] = mul (A[i],B[i]);
ntt (A,-1),A.resize (len);
return A;
}
int f0[MAXN],g0[MAXN];
poly work (int n,int beg){
f0[0] = g0[0] = 1;
for (int i = 1;i <= D;++ i){
g0[i] = 0;
int l = i + 1 >> 1,r = (i + n) >> 1;
for (int j = l;j <= r;++ j) Add (g0[i],binom (i,j));
}
for (int i = 1;i <= D;++ i){
for (int j = 0,v;j < i;++ j){
v = getit (j,0 - 1);
if (v) Sub (g0[i],mul (v,g0[i - j - 1]));
v = getit (j,n);
if (v) Sub (g0[i],mul (v,g0[i - j - 1]));
}
}
for (int i = 1;i <= D;++ i){
f0[i] = 0;
for (int j = 1;j <= n;++ j) Add (f0[i],getit (i,j - beg));
for (int j = 0,v;j < i;++ j){
v = getit (j,0 - beg);
if (v) Sub (f0[i],mul (v,g0[i - j - 1]));
v = getit (j,n + 1 - beg);
if (v) Sub (f0[i],mul (v,g0[i - j - 1]));
}
}
poly Now;Now.resize (D + 1);
for (int i = 0;i <= D;++ i) Now[i] = mul (f0[i],ifac[i]);
return Now;
}
signed main(){
read (D,N,M,K,X,Y,Z),init_ntt ();
int up = 8e5;
fac[0] = 1;for (int i = 1;i <= up;++ i) fac[i] = mul (fac[i - 1],i);
ifac[up] = qkpow (fac[up],mod - 2);for (int i = up;i;-- i) ifac[i - 1] = mul (ifac[i],i);
poly F1 = work (N,X),F2 = work (M,Y),F3 = work (K,Z);
F1 = F1 * F2 * F3,write (mul (F1[D],fac[D])),putchar ('\n');
return 0;
}
/*
??
??
1
*/
详细
Subtask #1:
score: 0
Wrong Answer
Test #1:
score: 0
Wrong Answer
time: 7ms
memory: 18792kb
input:
50 41 46 42 8 20 21
output:
791406133
result:
wrong answer 1st numbers differ - expected: '791406134', found: '791406133'
Subtask #2:
score: 0
Skipped
Dependency #1:
0%
Subtask #3:
score: 0
Time Limit Exceeded
Test #5:
score: 0
Time Limit Exceeded
input:
120000 300 1 1 141 1 1
output:
result:
Subtask #4:
score: 0
Time Limit Exceeded
Test #8:
score: 0
Time Limit Exceeded
input:
119000 119991 119991 1 23819 52139 1
output:
result:
Subtask #5:
score: 0
Skipped
Dependency #4:
0%
Subtask #6:
score: 0
Skipped
Dependency #3:
0%
Subtask #7:
score: 0
Skipped
Dependency #1:
0%