#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
template<typename T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
typedef long long int ll;
typedef long double ld;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
#define fastio ios_base::sync_with_stdio(false); cin.tie(NULL)
#define pb push_back
#define endl '\n'
#define sz(a) (int)a.size()
#define setbits(x) __builtin_popcountll(x)
#define ff first
#define ss second
#define conts continue
#define ceil2(x,y) ((x+y-1)/(y))
#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
#define yes cout << "Yes" << endl
#define no cout << "No" << endl
#define rep(i,n) for(int i = 0; i < n; ++i)
#define rep1(i,n) for(int i = 1; i <= n; ++i)
#define rev(i,s,e) for(int i = s; i >= e; --i)
#define trav(i,a) for(auto &i : a)
template<typename T>
void amin(T &a, T b) {
a = min(a,b);
}
template<typename T>
void amax(T &a, T b) {
a = max(a,b);
}
#ifdef LOCAL
#include "debug.h"
#else
#define debug(x) 42
#endif
/*
knew beforehand that this problem could be solved with segtree
*/
int MOD = 1e9 + 7;
const int N = 1e5 + 5;
const int inf1 = int(1e9) + 5;
const ll inf2 = ll(1e18) + 5;
template<typename T>
struct segtree {
// https://codeforces.com/blog/entry/18051
/*=======================================================*/
struct data {
ll a;
};
data neutral = {1};
data merge(data &left, data &right) {
data curr;
curr.a = left.a*right.a%MOD;
return curr;
}
void create(int i, T v) {
}
void modify(int i, T v) {
tr[i].a = v%MOD;
}
/*=======================================================*/
int n;
vector<data> tr;
segtree() {
}
segtree(int siz) {
init(siz);
}
void init(int siz) {
n = siz;
tr.assign(2 * n, neutral);
}
void build(vector<T> &a, int siz) {
rep(i, siz) create(i + n, a[i]);
rev(i, n - 1, 1) tr[i] = merge(tr[i << 1], tr[i << 1 | 1]);
}
void pupd(int i, T v) {
modify(i + n, v);
for (i = (i + n) >> 1; i; i >>= 1) tr[i] = merge(tr[i << 1], tr[i << 1 | 1]);
}
data query(int l, int r) {
data resl = neutral, resr = neutral;
for (l += n, r += n; l <= r; l >>= 1, r >>= 1) {
if (l & 1) resl = merge(resl, tr[l++]);
if (!(r & 1)) resr = merge(tr[r--], resr);
}
return merge(resl, resr);
}
};
void solve(int test_case)
{
ll n,m; cin >> n >> m >> MOD;
vector<pll> a(n+5);
rep1(i,n) cin >> a[i].ff >> a[i].ss;
sort(a.begin()+1,a.begin()+n+1);
vector<ll> cnt(m+5);
rep1(i,n) cnt[a[i].ss]++;
vector<ll> ind(m+5,-1);
vector<ll> ord;
ord.pb(0);
rev(i,n,1){
ll x = a[i].ss;
if(ind[x] != -1) conts;
ind[x] = sz(ord);
ord.pb(x);
}
segtree<ll> st(m+5);
rep1(i,m) st.pupd(ind[i],cnt[i]+1);
vector<bool> came(m+5);
vector<ll> recent_del(m+5,-1);
vector<ll> reach(n+5,-1);
ll ptr = n;
ll ans = 0;
rev(i,n,1){
auto [len,x] = a[i];
while(ptr >= 1 and a[ptr].ff > len/2){
cnt[a[ptr].ss]--;
st.pupd(ind[a[ptr].ss],cnt[a[ptr].ss]+1);
recent_del[a[ptr].ss] = ptr;
ptr--;
}
if(came[x]) conts;
came[x] = 1;
reach[x] = ptr;
// not maxed out
ll prod = 1;
ll aft_prod = st.query(ind[x]+1,m).a;
prod = cnt[x]*aft_prod%MOD;
// rep1(y,m){
// if(y != x and came[y]) conts;
// if(y != x){
// prod = prod*(cnt[y]+1)%MOD;
// }
// else{
// prod = prod*cnt[y]%MOD;
// }
// }
ans = (ans+prod)%MOD;
// maxed out
prod = 1;
ll l = 1, r = ind[x]-1;
ll first_good = ind[x];
while(l <= r){
ll mid = (l+r) >> 1;
ll y = ord[mid];
if(reach[y] < recent_del[x]){
first_good = mid;
r = mid-1;
}
else{
l = mid+1;
}
}
prod = st.query(first_good,ind[x]-1).a*aft_prod%MOD;
// rep1(y,m){
// if(x == y) conts;
// if(came[y] and reach[y] >= recent_del[x]) conts;
// prod = prod*(cnt[y]+1)%MOD;
// }
ans = (ans+prod)%MOD;
}
cout << ans << endl;
}
int main()
{
fastio;
int t = 1;
// cin >> t;
rep1(i, t) {
solve(i);
}
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
468 KB |
Output is correct |
2 |
Correct |
129 ms |
15296 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
604 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
50 ms |
6740 KB |
Output is correct |
2 |
Correct |
69 ms |
8020 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
604 KB |
Output is correct |
2 |
Correct |
2 ms |
604 KB |
Output is correct |
3 |
Correct |
2 ms |
604 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
87 ms |
9876 KB |
Output is correct |
2 |
Correct |
153 ms |
15696 KB |
Output is correct |
3 |
Correct |
148 ms |
15828 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
127 ms |
15552 KB |
Output is correct |
2 |
Correct |
148 ms |
16208 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
85 ms |
10024 KB |
Output is correct |
2 |
Correct |
150 ms |
16208 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
138 ms |
14912 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
174 ms |
17020 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
144 ms |
15572 KB |
Output is correct |
2 |
Correct |
205 ms |
24780 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
264 ms |
22032 KB |
Output is correct |
2 |
Correct |
168 ms |
19148 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
195 ms |
21004 KB |
Output is correct |
2 |
Correct |
230 ms |
24624 KB |
Output is correct |
3 |
Correct |
229 ms |
28360 KB |
Output is correct |
4 |
Correct |
229 ms |
24908 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
285 ms |
26052 KB |
Output is correct |
2 |
Correct |
317 ms |
43080 KB |
Output is correct |
3 |
Correct |
419 ms |
44120 KB |
Output is correct |
4 |
Correct |
387 ms |
39876 KB |
Output is correct |