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>
#define FIO ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0);
#define ll long long
#define mp make_pair
#define pb push_back
#define F first
#define S second
#define pii pair < int, int >
using namespace std;
const int N = 5e5+10, K = 5e5+10;
const int logN = 20, maxN = (1<<20), startpos = maxN-1;
int n, k, m;
pii ribe[N];
int najvecidrag[K];
int draginterval[K];
int cur;
int lowout[K];
int st[maxN<<1];
vector < int > dragulji;
int sol;
bool rip[K];
//bool ripp[7010][7010];
int temp;
int newcol[K];
int granice[K];
bool dragsort1( int a, int b ) {
if(najvecidrag[a] > najvecidrag[b]) return 1;
return 0;
}
bool dragsort2( int a, int b ) {
if(lowout[a] > lowout[b]) return 1;
return 0;
}
int add( int a, int b ) {
return (a + b >= m) ? a+b-m : a+b;
}
int mul( int a, int b ) {
return (ll) a * b % m;
}
inline void merge( int i ) {
st[i] = mul(st[i*2+1], st[i*2+2]);
return;
}
inline void update( int i, int v ) {
i += startpos;
st[i] += v;
while(i != 0) {
i = (i - 1) / 2;
merge(i);
}
return;
}
int product( int i, int l, int r, int lo, int hi ) {
if(l>=lo && r<=hi) return st[i];
if(r<=lo || l>=hi) return 1;
return mul(product(i*2+1, l, l + (r - l) / 2, lo, hi), product(i*2+2, l + (r - l) / 2, r, lo, hi));
}
int main( void ) {
FIO
cin >> n >> k >> m;
for(int i = 0; i < n; i++) {
cin >> ribe[i].F >> ribe[i].S;
ribe[i].S--;
}
sort(ribe, ribe + n);
cur = 0;
for(int i = 0; i < n; i++) {
najvecidrag[ribe[i].S] = i;
}
for(int i = 0; i < k; i++) dragulji.pb(i);
sort(dragulji.begin(), dragulji.end(), dragsort2);
for(int i = 0; i < k; i++) {
newcol[dragulji[i]] = i;
}
dragulji.clear();
for(int i = 0; i < n; i++) {
ribe[i].S = newcol[ribe[i].S];
}
for(int i = 0; i < n; i++) {
najvecidrag[ribe[i].S] = i;
while(ribe[cur].F * 2 <= ribe[i].F) {
cur++;
}
draginterval[ribe[i].S] = cur;
lowout[ribe[i].S] = n;
}
for(int i = 0; i < n; i++) {
if(i >= draginterval[ribe[i].S]) {
lowout[ribe[i].S] = min(lowout[ribe[i].S], i);
}
}
for(int i = 0; i < maxN<<1; i++) st[i] = 1;
for(int i = 0; i < n; i++) {
update(ribe[i].S, 1);
}
for(int i = 0; i < k; i++) {
dragulji.pb(i);
}
sort(dragulji.begin(), dragulji.end(), dragsort1);
cur = n-1;
for(int i = 0; i < k; i++) {
while(cur >= 0 && draginterval[dragulji[i]] <= cur) {
if(!rip[ribe[cur].S])update(ribe[cur].S, -1);
cur--;
}
// cout << st[startpos+0] << " " << st[startpos+1] << " " << st[startpos+2] << " " << st[startpos+3] << "\n";
update(dragulji[i], -1);
sol = add(sol, st[0]);
update(dragulji[i], 1-st[dragulji[i] + startpos]);
rip[dragulji[i]] = 1;
// cout << st[startpos+0] << " " << st[startpos+1] << " " << st[startpos+2] << " " << st[startpos+3] << "\n\n";
}
for(int i = 0; i < k; i++) rip[i] = 0;
// cout << sol << "\n";
cur = 0;
for(int i = 0; i < k; i++) granice[i] = k;
for(int i = 0; i < k; i++) {
while(lowout[cur] < draginterval[i]) {
granice[cur] = i;
cur++;
}
}
cur = n-1;
sort(dragulji.begin(), dragulji.end(), dragsort1);
for(int i = 0; i < maxN<<1; i++) st[i] = 1;
for(int i = 0; i < n; i++) {
update(ribe[i].S, 1);
}
//
for(int i = 0; i < k; i++) {
while(cur >= 0 && draginterval[dragulji[i]] <= cur) {
update(ribe[cur].S, -1);
cur--;
}
temp = 1 - st[dragulji[i] + startpos];
update(dragulji[i], temp);
sol = add(sol, product(0, 0, maxN, 0, granice[i]));
// cout << product(0, 0, maxN, 0, granice[i]) << "\n";
update(dragulji[i], -temp);
}
// for(int i = 0; i < n; i++) cout << ribe[i].F << " " << ribe[i].S << "\n";
//
cout << sol;
return 0;
}
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