Submission #253697

# Submission time Handle Problem Language Result Execution time Memory
253697 2020-07-28T14:25:06 Z errorgorn Boat (APIO16_boat) C++14
100 / 100
1488 ms 8576 KB
//雪花飄飄北風嘯嘯
//天地一片蒼茫

#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/rope>
using namespace std;
using namespace __gnu_pbds;
using namespace __gnu_cxx;
#define ll long long
#define ii pair<ll,ll>
#define iii pair<ii,ll>
#define fi first
#define se second
#define endl '\n'
#define debug(x) cout << #x << " is " << x << endl;

#define rep(x,start,end) for(auto x=(start)-((start)>(end));x!=(end)-((start)>(end));((start)<(end)?x++:x--))
#define all(x) (x).begin(),(x).end()
#define sz(x) (int)(x).size()

ll MAX(ll a){return a;}
ll MIN(ll a){return a;}
template<typename... Args>
ll MAX(ll a,Args... args){return max(a,MAX(args...));}
template<typename... Args>
ll MIN(ll a,Args... args){return min(a,MIN(args...));}

#define indexed_set tree<ll,null_type,less<ll>,rb_tree_tag,tree_order_statistics_node_update>

mt19937 rng(chrono::system_clock::now().time_since_epoch().count());

const int MOD=1000000007;

ll qexp(ll b,ll p,int m){
    ll res=1;
    while (p){
        if (p&1) res=(res*b)%m;
        b=(b*b)%m;
        p>>=1;
    }
    return res;
}

ll inv(ll i){
	return qexp(i,MOD-2,MOD);
}


int n;
ii range[505];
vector<int> pos={0,1};

ll cnt[1005][505];
ll memo[1005][505];

int main(){
	ios::sync_with_stdio(0);
	cin.tie(0);
	cout.tie(0);
	
	cin>>n;
	rep(x,0,n){
		cin>>range[x].fi>>range[x].se;
		pos.push_back(range[x].fi);
		pos.push_back(range[x].se+1);
	}
	
	sort(all(pos));
	pos.erase(unique(all(pos)),pos.end());
	
	rep(x,0,sz(pos)-1){
		int val=pos[x+1]-pos[x];
		
		cnt[x][0]=val;
		rep(y,1,min(val,505)){
			cnt[x][y]=cnt[x][y-1]*(val-y)%MOD*inv(y+1)%MOD;
		}
	}
	
	//for (auto &it:pos) cout<<it<<" ";cout<<endl;
	
	memo[0][0]=1;
	
	ll curr;
	rep(z,0,n){
		curr=0;
		rep(x,0,sz(pos)-1){
			ll temp=curr;
			
			rep(y,0,505) curr=(curr+cnt[x][y]*memo[x][y])%MOD;
			if (range[z].fi<=pos[x] && pos[x]<=range[z].se){
				rep(y,505,1) memo[x][y]=(memo[x][y]+memo[x][y-1])%MOD;
				memo[x][0]=(memo[x][0]+temp)%MOD;
			}
			//cout<<curr<<endl;
		}
		
		/*
		rep(x,0,sz(pos)-1){
			rep(y,0,4) cout<<memo[x][y]<<" ";
			cout<<endl;
		}
		cout<<endl;
		//*/
	}
	
	curr=0;
	rep(x,1,sz(pos)-1){
		rep(y,0,505) curr=(curr+cnt[x][y]*memo[x][y])%MOD;
	}
	cout<<curr<<endl;
}
# Verdict Execution time Memory Grader output
1 Correct 1205 ms 8412 KB Output is correct
2 Correct 1203 ms 8440 KB Output is correct
3 Correct 1209 ms 8412 KB Output is correct
4 Correct 1211 ms 8304 KB Output is correct
5 Correct 1199 ms 8204 KB Output is correct
6 Correct 1224 ms 8312 KB Output is correct
7 Correct 1212 ms 8312 KB Output is correct
8 Correct 1202 ms 8440 KB Output is correct
9 Correct 1206 ms 8420 KB Output is correct
10 Correct 1201 ms 8392 KB Output is correct
11 Correct 1199 ms 8440 KB Output is correct
12 Correct 1228 ms 8416 KB Output is correct
13 Correct 1207 ms 8428 KB Output is correct
14 Correct 1215 ms 8428 KB Output is correct
15 Correct 1212 ms 8376 KB Output is correct
16 Correct 211 ms 1812 KB Output is correct
17 Correct 228 ms 1912 KB Output is correct
18 Correct 219 ms 1792 KB Output is correct
19 Correct 233 ms 1912 KB Output is correct
20 Correct 222 ms 1912 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1205 ms 8412 KB Output is correct
2 Correct 1203 ms 8440 KB Output is correct
3 Correct 1209 ms 8412 KB Output is correct
4 Correct 1211 ms 8304 KB Output is correct
5 Correct 1199 ms 8204 KB Output is correct
6 Correct 1224 ms 8312 KB Output is correct
7 Correct 1212 ms 8312 KB Output is correct
8 Correct 1202 ms 8440 KB Output is correct
9 Correct 1206 ms 8420 KB Output is correct
10 Correct 1201 ms 8392 KB Output is correct
11 Correct 1199 ms 8440 KB Output is correct
12 Correct 1228 ms 8416 KB Output is correct
13 Correct 1207 ms 8428 KB Output is correct
14 Correct 1215 ms 8428 KB Output is correct
15 Correct 1212 ms 8376 KB Output is correct
16 Correct 211 ms 1812 KB Output is correct
17 Correct 228 ms 1912 KB Output is correct
18 Correct 219 ms 1792 KB Output is correct
19 Correct 233 ms 1912 KB Output is correct
20 Correct 222 ms 1912 KB Output is correct
21 Correct 1213 ms 7608 KB Output is correct
22 Correct 1218 ms 8100 KB Output is correct
23 Correct 1224 ms 7672 KB Output is correct
24 Correct 1183 ms 7416 KB Output is correct
25 Correct 1199 ms 7672 KB Output is correct
26 Correct 1227 ms 7476 KB Output is correct
27 Correct 1254 ms 7544 KB Output is correct
28 Correct 1227 ms 7264 KB Output is correct
29 Correct 1227 ms 7224 KB Output is correct
30 Correct 1196 ms 8372 KB Output is correct
31 Correct 1218 ms 8404 KB Output is correct
32 Correct 1196 ms 8312 KB Output is correct
33 Correct 1205 ms 8440 KB Output is correct
34 Correct 1199 ms 8348 KB Output is correct
35 Correct 1192 ms 8312 KB Output is correct
36 Correct 1210 ms 8368 KB Output is correct
37 Correct 1213 ms 8276 KB Output is correct
38 Correct 1197 ms 8484 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 69 ms 1920 KB Output is correct
2 Correct 69 ms 2040 KB Output is correct
3 Correct 68 ms 1920 KB Output is correct
4 Correct 70 ms 2040 KB Output is correct
5 Correct 70 ms 1920 KB Output is correct
6 Correct 72 ms 2040 KB Output is correct
7 Correct 74 ms 1920 KB Output is correct
8 Correct 71 ms 1920 KB Output is correct
9 Correct 72 ms 1912 KB Output is correct
10 Correct 72 ms 1912 KB Output is correct
11 Correct 69 ms 1912 KB Output is correct
12 Correct 68 ms 1920 KB Output is correct
13 Correct 69 ms 1920 KB Output is correct
14 Correct 69 ms 1920 KB Output is correct
15 Correct 69 ms 1912 KB Output is correct
16 Correct 38 ms 1280 KB Output is correct
17 Correct 38 ms 1280 KB Output is correct
18 Correct 38 ms 1280 KB Output is correct
19 Correct 39 ms 1280 KB Output is correct
20 Correct 37 ms 1280 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1205 ms 8412 KB Output is correct
2 Correct 1203 ms 8440 KB Output is correct
3 Correct 1209 ms 8412 KB Output is correct
4 Correct 1211 ms 8304 KB Output is correct
5 Correct 1199 ms 8204 KB Output is correct
6 Correct 1224 ms 8312 KB Output is correct
7 Correct 1212 ms 8312 KB Output is correct
8 Correct 1202 ms 8440 KB Output is correct
9 Correct 1206 ms 8420 KB Output is correct
10 Correct 1201 ms 8392 KB Output is correct
11 Correct 1199 ms 8440 KB Output is correct
12 Correct 1228 ms 8416 KB Output is correct
13 Correct 1207 ms 8428 KB Output is correct
14 Correct 1215 ms 8428 KB Output is correct
15 Correct 1212 ms 8376 KB Output is correct
16 Correct 211 ms 1812 KB Output is correct
17 Correct 228 ms 1912 KB Output is correct
18 Correct 219 ms 1792 KB Output is correct
19 Correct 233 ms 1912 KB Output is correct
20 Correct 222 ms 1912 KB Output is correct
21 Correct 1213 ms 7608 KB Output is correct
22 Correct 1218 ms 8100 KB Output is correct
23 Correct 1224 ms 7672 KB Output is correct
24 Correct 1183 ms 7416 KB Output is correct
25 Correct 1199 ms 7672 KB Output is correct
26 Correct 1227 ms 7476 KB Output is correct
27 Correct 1254 ms 7544 KB Output is correct
28 Correct 1227 ms 7264 KB Output is correct
29 Correct 1227 ms 7224 KB Output is correct
30 Correct 1196 ms 8372 KB Output is correct
31 Correct 1218 ms 8404 KB Output is correct
32 Correct 1196 ms 8312 KB Output is correct
33 Correct 1205 ms 8440 KB Output is correct
34 Correct 1199 ms 8348 KB Output is correct
35 Correct 1192 ms 8312 KB Output is correct
36 Correct 1210 ms 8368 KB Output is correct
37 Correct 1213 ms 8276 KB Output is correct
38 Correct 1197 ms 8484 KB Output is correct
39 Correct 69 ms 1920 KB Output is correct
40 Correct 69 ms 2040 KB Output is correct
41 Correct 68 ms 1920 KB Output is correct
42 Correct 70 ms 2040 KB Output is correct
43 Correct 70 ms 1920 KB Output is correct
44 Correct 72 ms 2040 KB Output is correct
45 Correct 74 ms 1920 KB Output is correct
46 Correct 71 ms 1920 KB Output is correct
47 Correct 72 ms 1912 KB Output is correct
48 Correct 72 ms 1912 KB Output is correct
49 Correct 69 ms 1912 KB Output is correct
50 Correct 68 ms 1920 KB Output is correct
51 Correct 69 ms 1920 KB Output is correct
52 Correct 69 ms 1920 KB Output is correct
53 Correct 69 ms 1912 KB Output is correct
54 Correct 38 ms 1280 KB Output is correct
55 Correct 38 ms 1280 KB Output is correct
56 Correct 38 ms 1280 KB Output is correct
57 Correct 39 ms 1280 KB Output is correct
58 Correct 37 ms 1280 KB Output is correct
59 Correct 1417 ms 8324 KB Output is correct
60 Correct 1388 ms 8312 KB Output is correct
61 Correct 1382 ms 8312 KB Output is correct
62 Correct 1393 ms 8312 KB Output is correct
63 Correct 1394 ms 8320 KB Output is correct
64 Correct 1488 ms 8264 KB Output is correct
65 Correct 1481 ms 8520 KB Output is correct
66 Correct 1478 ms 8576 KB Output is correct
67 Correct 1471 ms 8360 KB Output is correct
68 Correct 1472 ms 8292 KB Output is correct
69 Correct 1378 ms 8352 KB Output is correct
70 Correct 1385 ms 8328 KB Output is correct
71 Correct 1395 ms 8452 KB Output is correct
72 Correct 1397 ms 8576 KB Output is correct
73 Correct 1406 ms 8440 KB Output is correct
74 Correct 247 ms 1784 KB Output is correct
75 Correct 252 ms 1792 KB Output is correct
76 Correct 250 ms 1792 KB Output is correct
77 Correct 251 ms 1792 KB Output is correct
78 Correct 248 ms 1912 KB Output is correct