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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#253037 | #6325. Peaceful Results | std_abs# | RE | 241ms | 92692kb | C++14 | 4.5kb | 2023-11-16 16:53:53 | 2023-11-16 16:53:53 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<int, int> pii;
#define pb push_back
#define all(a) a.begin(), a.end()
#define sz(a) ((int)a.size())
const int mod = 998244353, N = 1 << 21, G = 3;
ll add(ll a, ll b) {
a += b;
if (a >= mod) {
a -= mod;
}
return a;
}
ll sub(ll a, ll b) {
a -= b;
if (a < 0) {
a += mod;
}
return a;
}
ll mul(ll a, ll b) {
return a * b % mod;
}
ll mpow(ll a, ll b) {
ll ans = 1;
for (; b; b >>= 1, a = mul(a, a)) {
if (b & 1) {
ans = mul(ans, a);
}
}
return ans;
}
struct NTT {
ll w[N];
NTT() {
ll dw = mpow(G, (mod - 1) / N);
w[0] = 1;
for (int i = 1; i < N; ++i) {
w[i] = mul(w[i - 1], dw);
}
}
void operator () (vector <ll> &a, bool inv = false) {
int x = 0, n = a.size();
for (int j = 1; j < n - 1; ++j) {
for (int k = n >> 1; (x ^= k) < k; k >>= 1);
if (j < x) {
swap(a[x], a[j]);
}
}
for (int L = 2; L <= n; L <<= 1) {
int dx = N / L, dl = L >> 1;
for (int i = 0; i < n; i += L) {
for (int j = i, x = 0; j < i + dl; ++j, x += dx) {
ll tmp = mul(a[j + dl], w[x]);
a[j + dl] = sub(a[j], tmp);
a[j] = add(a[j], tmp);
}
}
}
if (inv) {
reverse(1 + all(a));
ll invn = mpow(n, mod - 2);
for (int i = 0; i < n; ++i) a[i] = mul(a[i], invn);
}
}
} ntt;
vector <ll> Mul(vector <ll> a, vector <ll> b, int bound = N) {
int m = a.size() + b.size() - 1, n = 1;
while (n < m) n <<= 1;
a.resize(n), b.resize(n);
ntt(a), ntt(b);
vector <ll> out(n);
for (int i = 0; i < n; ++i) out[i] = mul(a[i], b[i]);
ntt(out, true), out.resize(min(m, bound));
return out;
}
const int M=N*3/2;
int fac[M],inv[M],ifac[M];
int n,ar,ap,as,br,bp,bs,cr,cp,cs;
int main() {
ios::sync_with_stdio(false), cin.tie(0);
fac[0]=inv[1]=ifac[0]=1;
for(int i=1; i<M; ++i) fac[i]=mul(fac[i-1],i);
for(int i=2; i<M; ++i) inv[i]=mul(inv[mod%i],mod-mod/i);
for(int i=1; i<M; ++i) ifac[i]=mul(ifac[i-1],inv[i]);
cin >> n;
cin >> ar >> ap >> as >> br >> bp >> bs >> cr >> cp >> cs;
int t1=cr-cp-ap+ar-bp+br;
if(t1%3){
cout << "0\n";
return 0;
}
t1/=3;
int t2=ar+br-t1-cp;
int base[3][3];
base[0][0]=base[0][1]=0;
base[1][1]=base[0][0]-t1;
base[1][0]=t2-base[0][0]-base[0][1];
base[0][2]=ar-base[0][0]-base[0][1];
base[1][2]=ap-base[1][0]-base[1][1];
base[2][0]=br-base[0][0]-base[1][0];
base[2][1]=bp-base[0][1]-base[1][1];
base[2][2]=as-base[2][0]-base[2][1];
/*
for(int i=0; i<3; ++i){
for(int j=0; j<3; ++j) cout << base[i][j] << ' ';
cout << "\n";
}
*/
int t[3];
for(int i=0; i<3; ++i) t[i]=-min({base[0][i],base[1][(i+1)%3],base[2][(i+2)%3]});
auto calc=[&](int i, int x){
int res=1,tot=0;
for(int j=0; j<3; ++j){
int tmp=base[j][(j+i)%3]+x;
if(tmp<0) return 0;
tot+=tmp;
if(tot>n) return -1;
res=mul(res,ifac[tmp]);
}
return res;
};
auto count=[&](int i, int x){
int tot=0;
for(int j=0; j<3; ++j){
int tmp=base[j][(j+i)%3]+x;
if(tmp<0) return -1;
tot+=tmp;
if(tot>n) return -1;
}
return tot;
};
vector<ll> P[3];
for(int j=0; j<3; ++j){
for(int i=0; i<=n; ++i){
int tmp=calc(j,t[j]+i);
if(tmp<0) break;
P[j].pb(tmp);
}
//for(auto i: P[j]) cout << i << ' ';
//cout << endl;
}
//cout << t[0] << ' ' << t[1] << ' ' << t[2] << endl;
vector<ll> Q=Mul(P[0],P[1]);
int res=0;
for(int i=0; i<sz(Q); ++i) if(Q[i]){
//int u0=count(0,i+t[0]),u1=count(1,i+t[1]);
//if(u0<0||u1<0) continue;
int lft=n-count(0,t[0])-count(0,t[1])-i*3;
int off=(lft-base[0][2]-base[1][0]-base[2][1]);
assert(off%3==0);
off/=3;
int u2=count(2,off);
if(u2<0) continue;
res=add(res,mul(Q[i],P[2][off-t[2]]));
}
cout << mul(res,fac[n]) << "\n";
}
Details
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Test #1:
score: 100
Accepted
time: 41ms
memory: 56660kb
input:
2 2 0 0 1 1 0 1 0 1
output:
2
result:
ok 1 number(s): "2"
Test #2:
score: 0
Accepted
time: 52ms
memory: 56680kb
input:
3 0 1 2 3 0 0 1 1 1
output:
0
result:
ok 1 number(s): "0"
Test #3:
score: 0
Accepted
time: 89ms
memory: 65108kb
input:
333333 111111 111111 111111 111111 111111 111111 111111 111111 111111
output:
383902959
result:
ok 1 number(s): "383902959"
Test #4:
score: 0
Accepted
time: 241ms
memory: 92692kb
input:
1500000 500000 500000 500000 500000 500000 500000 500000 500000 500000
output:
355543262
result:
ok 1 number(s): "355543262"
Test #5:
score: -100
Runtime Error
input:
1499999 499999 499999 500001 499999 499999 500001 499999 499999 500001