# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
337787 | talant117408 | Energetic turtle (IZhO11_turtle) | C++17 | 93 ms | 9836 KiB |
This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
/*
Code written by Talant I.D.
*/
#pragma GCC optimize("Ofast")
#include <bits/stdc++.h>
//#include <ext/pb_ds/assoc_container.hpp>
//using namespace __gnu_pbds;
using namespace std;
//typedef tree <int, null_type, less<int>, rb_tree_tag, tree_order_statistics_node_update> indexed_set;
typedef long long ll;
typedef pair <int, int> pii;
typedef pair <ll, ll> pll;
#define precision(n) fixed << setprecision(n)
#define pb push_back
#define ub upper_bound
#define lb lower_bound
#define mp make_pair
#define eps (double)1e-9
#define PI 2*acos(0.0)
#define endl "\n"
#define sz(v) int((v).size())
#define all(v) v.begin(),v.end()
#define rall(v) v.rbegin(),v.rend()
#define do_not_disturb ios::sync_with_stdio(0);cin.tie(0);cout.tie(0);
#define OK cout << "OK" << endl;
inline bool isvowel(char ch){
ch = tolower(ch);
return (ch == 'a' || ch == 'e' || ch == 'i' || ch == 'o' || ch == 'u');
}
inline bool isprime(int n){
if(n < 2 || (n%2 == 0 && n != 2)) return false;
for(int i = 3; i*i <= n; i++)
if(n%i == 0) return false;
return true;
}
class Union{
private:
vector <int> saizu, link;
public:
Union(int n){
saizu.assign(n, 1); link.resize(n);
iota(all(link), 0);
}
int find(int n){
if(link[n] == n) return n;
return link[n] = find(link[n]);
}
int same(int a, int b){
return find(a) == find(b);
}
void unite(int a, int b){
if(same(a, b)) return;
a = find(a); b = find(b);
if(saizu[a] < saizu[b]) swap(a, b);
saizu[a] += saizu[b];
link[b] = a;
}
int getsize(int a){
return saizu[find(a)];
}
};
const int mod = 1e9+7;
ll mode(ll a){
a %= mod;
if(a < 0) a += mod;
return a;
}
ll subt(ll a, ll b){
return mode(mode(a)-mode(b));
}
ll add(ll a, ll b){
return mode(mode(a)+mode(b));
}
ll mult(ll a, ll b){
return mode(mode(a)*mode(b));
}
ll binpow(ll a, ll b){
ll res = 1;
while(b){
if(b&1) res = mult(res, a);
a = mult(a, a);
b >>= 1;
}
return res;
}
ll n, m, N, t, z;
ll dp[23][23];
bool cmp(pll a, pll b){
return a.first+a.second < b.first+b.second;
}
ll fact[600007], rever[600007];
ll C(ll n, ll k){
return mult(fact[n], mult(rever[k], rever[n-k]));
}
int main(){
do_not_disturb
fact[0] = rever[0] = 1;
for(ll i = 1; i < 600007; i++){
fact[i] = mult(fact[i-1], i);
rever[i] = binpow(fact[i], mod-2);
}
cin >> n >> m >> N >> t >> z;
vector <pll> v(N);
for(auto &to : v) cin >> to.first >> to.second;
v.pb(mp(n, m));
sort(all(v), cmp);
for(int times = 0; times <= t; times++){
for(int i = 0; i <= N; i++){
dp[i][times] = C(v[i].first+v[i].second, v[i].first);
for(int j = 0; j < i; j++){
if(v[j].first <= v[i].first && v[j].second <= v[i].second){
if(i == N)
dp[i][times] = subt(dp[i][times], dp[j][times]);
else
dp[i][times] = subt(dp[i][times], dp[j][times-1]);
}
}
}
}
ll ans = 0;
for(int times = 0; times <= t; times++){
ans = add(ans, dp[N][times]);
}
cout << ans;
return 0;
}
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