Submission #68261460
Source Code Expand
#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 basic_string<int> BI;
typedef long long ll;
typedef pair<int,int> PII;
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 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;}
// head
template<int MOD, int RT> struct mint {
static const int mod = MOD;
static constexpr mint rt() { return RT; } // primitive root for FFT
int v; explicit operator int() const { return v; } // explicit -> don't silently convert to int
mint():v(0) {}
mint(ll _v) { v = int((-MOD < _v && _v < MOD) ? _v : _v % MOD);
if (v < 0) v += MOD; }
bool operator==(const mint& o) const {
return v == o.v; }
friend bool operator!=(const mint& a, const mint& b) {
return !(a == b); }
friend bool operator<(const mint& a, const mint& b) {
return a.v < b.v; }
mint& operator+=(const mint& o) {
if ((v += o.v) >= MOD) v -= MOD;
return *this; }
mint& operator-=(const mint& o) {
if ((v -= o.v) < 0) v += MOD;
return *this; }
mint& operator*=(const mint& o) {
v = int((ll)v*o.v%MOD); return *this; }
mint& operator/=(const mint& o) { return (*this) *= inv(o); }
friend mint pow(mint a, ll p) {
mint ans = 1; assert(p >= 0);
for (; p; p /= 2, a *= a) if (p&1) ans *= a;
return ans; }
friend mint inv(const mint& a) { assert(a.v != 0);
return pow(a,MOD-2); }
mint operator-() const { return mint(-v); }
mint& operator++() { return *this += 1; }
mint& operator--() { return *this -= 1; }
friend mint operator+(mint a, const mint& b) { return a += b; }
friend mint operator-(mint a, const mint& b) { return a -= b; }
friend mint operator*(mint a, const mint& b) { return a *= b; }
friend mint operator/(mint a, const mint& b) { return a /= b; }
};
const int MOD=998244353;
using mi = mint<MOD,5>; // 5 is primitive root for both common mods
namespace simp {
vector<mi> fac,ifac,invn;
void check(int x) {
assert(mod==MOD);
if (fac.empty()) {
fac={mi(1),mi(1)};
ifac={mi(1),mi(1)};
invn={mi(0),mi(1)};
}
while (SZ(fac)<=x) {
int n=SZ(fac),m=SZ(fac)*2;
fac.resize(m);
ifac.resize(m);
invn.resize(m);
for (int i=n;i<m;i++) {
fac[i]=fac[i-1]*mi(i);
invn[i]=mi(MOD-MOD/i)*invn[MOD%i];
ifac[i]=ifac[i-1]*invn[i];
}
}
}
mi gfac(int x) {
assert(x>=0);
check(x); return fac[x];
}
mi ginv(int x) {
assert(x>0);
check(x); return invn[x];
}
mi gifac(int x) {
assert(x>=0);
check(x); return ifac[x];
}
mi binom(int n,int m) {
if (m < 0 || m > n) return mi(0);
return gfac(n)*gifac(m)*gifac(n - m);
}
mi binombf(int n,int m) {
if (m < 0 || m > n) return mi(0);
if (m>n-m) m=n-m;
mi p=1,q=1;
for (int i=1;i<=m;i++) p=p*(n+1-i),q=q*i;
return p/q;
}
}
const int N=201000;
ll n,m;
int k;
mi solvehw(int h,int w) {
return simp::binom(h+w-2,w+1)*(w-1);
}
void solve() {
scanf("%lld%lld%d",&n,&m,&k);
if (k<n+m-2) {
puts("0");
return;
}
if (k==n+m-2) {
printf("%d\n",(int)simp::binom(n+m-2,n-1));
return;
}
if (k==n+m-1) {
mi ans=(int)simp::binom(n+m-2,n-1);
mi eg=(n*(m-1)+(n-1)*m-(n+m-2));
ans=ans*eg;
printf("%d\n",(int)ans);
return;
} else {
mi ans=(int)simp::binom(n+m-2,n-1);
mi eg=(n*(m-1)+(n-1)*m-(n+m-2));
ans=ans*eg*(eg-1)/2;
ans-=(int)simp::binom(n+m-4,n-2)*(n+m-3);
ans+=solvehw(n,m)+solvehw(m,n);
printf("%d\n",(int)ans);
return;
}
}
int _;
int main() {
for (scanf("%d",&_);_;_--) {
solve();
}
}
Submission Info
Submission Time
2025-08-07 04:29:32+0900
Task
C - Destruction of Walls
User
apiad
Language
C++ 20 (gcc 12.2)
Score
600
Code Size
4006 Byte
Status
AC
Exec Time
86 ms
Memory
10784 KiB
Compile Error
Main.cpp: In function ‘void solve()’:
Main.cpp:120:14: warning: ignoring return value of ‘int scanf(const char*, ...)’ declared with attribute ‘warn_unused_result’ [-Wunused-result]
120 | scanf("%lld%lld%d",&n,&m,&k);
| ~~~~~^~~~~~~~~~~~~~~~~~~~~~~
Main.cpp: In function ‘int main()’:
Main.cpp:148:19: warning: ignoring return value of ‘int scanf(const char*, ...)’ declared with attribute ‘warn_unused_result’ [-Wunused-result]
148 | for (scanf("%d",&_);_;_--) {
| ~~~~~^~~~~~~~~
Judge Result
Set Name
Sample
All
Score / Max Score
0 / 0
600 / 600
Status
Set Name
Test Cases
Sample
sample.txt
All
handmade.txt, random_1.txt, random_2.txt, random_3.txt, random_4.txt, random_5.txt, sample.txt
Case Name
Status
Exec Time
Memory
handmade.txt
AC
61 ms
10600 KiB
random_1.txt
AC
49 ms
10596 KiB
random_2.txt
AC
62 ms
10556 KiB
random_3.txt
AC
39 ms
10568 KiB
random_4.txt
AC
6 ms
6860 KiB
random_5.txt
AC
86 ms
10712 KiB
sample.txt
AC
11 ms
10784 KiB