This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
// macros
typedef long long ll;
typedef long double ld;
typedef pair<int, int> ii;
typedef pair<ll, ll> lll;
typedef tuple<int, int, int> iii;
typedef vector<int> vi;
typedef vector<ii> vii;
typedef vector<iii> viii;
typedef vector<ll> vll;
typedef vector<lll> vlll;
#define REP(a,b,c) for(int a=int(b); a<int(c); a++)
#define RE(a,c) REP(a,0,c)
#define RE1(a,c) REP(a,1,c+1)
#define REI(a,b,c) REP(a,b,c+1)
#define REV(a,b,c) for(int a=int(c-1); a>=int(b); a--)
#define FOR(a,b) for(auto& a : b)
#define all(a) a.begin(), a.end()
#define INF 1e18
#define EPS 1e-9
#define pb push_back
#define popb pop_back
#define fi first
#define se second
// input
template<class T> void IN(T& x) {cin >> x;}
template<class H, class... T> void IN(H& h, T&... t) {IN(h); IN(t...); }
// output
template<class T1, class T2> void OUT(const pair<T1,T2>& x);
template<class T> void OUT(const vector<T>& x);
template<class T> void OUT(const T& x) {cout << x;}
template<class H, class... T> void OUT(const H& h, const T&... t) {OUT(h); OUT(t...); }
template<class T1, class T2> void OUT(const pair<T1,T2>& x) {OUT(x.fi,' ',x.se);}
template<class T> void OUT(const vector<T>& x) {RE(i,x.size()) OUT(i==0?"":" ",x[i]);}
template<class... T> void OUTL(const T&... t) {OUT(t..., "\n"); }
template<class H> void OUTLS(const H& h) {OUTL(h); }
template<class H, class... T> void OUTLS(const H& h, const T&... t) {OUT(h,' '); OUTLS(t...); }
// dp
template<class T> bool ckmin(T&a, T&b) { bool bl = a > b; a = min(a,b); return bl;}
template<class T> bool ckmax(T&a, T&b) { bool bl = a < b; a = max(a,b); return bl;}
void program();
int main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cout.tie(NULL);
program();
}
//===================//
// begin program //
//===================//
const int MX = 5e5+10;
const int N = (1<<20);
int n, k, mod;
int l[MX], g[MX];
int sl[MX]; // sorted by L
vi gemCnt, highestCnt;
vector<vi> lastHigh;
int ans = 0;
int getWays(vi cnt) {
ll res = 1;
FOR(i,cnt) res = ll(res*(ll(i+1)%mod))%mod;
return res;
}
void increaseCount(int x) {
gemCnt[x]++;
if(highestCnt[x] != gemCnt[x]) {
vi cnt = gemCnt;
cnt[x] = 0;
ans = (ans+getWays(cnt))%mod;
highestCnt[x] = gemCnt[x];
} else {
vi cnt = lastHigh[x];
cnt[x] = 0;
ans = (ans-getWays(cnt)+mod)%mod;
cnt = gemCnt;
cnt[x] = 0;
ans = (ans+getWays(cnt))%mod;
}
RE(i,k) if(gemCnt[i] == highestCnt[i]) lastHigh[i] = gemCnt;
}
void decreaseCount(int x) {
gemCnt[x]--;
}
void program() {
IN(n,k,mod);
RE(i,n) IN(l[i], g[i]), g[i]--;
RE(i,n) sl[i] = i;
sort(sl,sl+n,[](int i, int j) {
return l[i]<l[j];
});
gemCnt.assign(k,0); highestCnt.assign(k,0);
lastHigh.assign(k,vi(k,0));
int lb=0;
RE(i,n) {
while(lb != n && l[sl[lb]]*2 <= l[sl[i]])
increaseCount(g[sl[lb++]]);
increaseCount(g[sl[i]]);
decreaseCount(g[sl[i]]);
}
OUTL(ans);
}
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