oj.uz

Submission #113982

# Submission time Handle Problem Language Result Execution time Memory
113982 2019-05-29T12:25:07 Z dorijanlendvaj Boat (APIO16_boat) C++14
58 / 100
 2000 ms 74304 KB 
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#define x first
#define y second
#define pii pair<int,int>
#define pb push_back
#define eb emplace_back
#pragma GCC optimize("unroll-loops")
#pragma GCC target("avx,avx2,sse,sse2,sse3,ssse3,sse4")

using namespace std;
using namespace __gnu_pbds;

typedef long long int ll;
typedef unsigned long long int ull;
int MOD=1000000007;
int MOD2=998244353;
vector<int> bases;
const ll LLINF=1ll<<60;
const char en='\n';

mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
void yes() {cout<<"YES"<<en; exit(0);}
void no() {cout<<"NO"<<en; exit(0);}
inline int rund() {int x576363482791fuweh=rng();return abs(x576363482791fuweh)%RAND_MAX;}
template<class T>
void prVec(vector<T> w)
{
	cout<<w.size()<<endl;
	for (int i=0;i<int(w.size())-1;++i) cout<<w[i]<<' ';
	if (w.size()) cout<<w[w.size()-1]<<endl;
}

void M998()
{
	swap(MOD,MOD2);
}

ll raand()
{
	ll a=rund();
	a*=RAND_MAX;
	a+=rund();
    return a;
}

#define rand raand

ll raaand()
{
	return raand()*(MOD-7)+raand();
}

string to_upper(string a)
{
	for (int i=0;i<(int)a.size();++i) if (a[i]>='a' && a[i]<='z') a[i]-='a'-'A';
	return a;
}

string to_lower(string a)
{
	for (int i=0;i<(int)a.size();++i) if (a[i]>='A' && a[i]<='Z') a[i]+='a'-'A';
	return a;
}

ll sti(string a)
{
	ll k=0;
	for (int i=0;i<(int)a.size();++i)
	{
		k*=10;
		k+=a[i]-'0';
	}
	return k;
}

string its(ll k)
{
	if (k==0) return "0";
	string a;
	while (k)
	{
		a.push_back((k%10)+'0');
		k/=10;
	}
	reverse(a.begin(),a.end());
	return a;
}

ll min(ll a,int b)
{
	if (a<b) return a;
	return b;
}

ll min(int a,ll b)
{
	if (a<b) return a;
	return b;
}

ll max(ll a,int b)
{
	if (a>b) return a;
	return b;
}

ll max(int a,ll b)
{
	if (a>b) return a;
	return b;
}

ll gcd(ll a,ll b)
{
	if (b==0) return a;
	return gcd(b,a%b);
}

ll lcm(ll a,ll b)
{
	return a/gcd(a,b)*b;
}

template<class T,class K>
pair<T,K> mp(T a,K b)
{
	return make_pair(a,b);
}

inline int mult(ll a,ll b)
{
	return (a*b)%MOD;
}

inline int pot(int n,int k)
{
	if (k==0) return 1;
	ll a=pot(n,k/2);
	a=mult(a,a);
	if (k%2) return mult(a,n);
	else return a;
}

int divide(int a,int b)
{
	return mult(a,pot(b,MOD-2));
}

inline int sub(int a,int b)
{
	if (a-b>=0) return a-b;
	return a-b+MOD;
}

inline int add(int a,int b)
{
	if (a+b>=MOD) return a+b-MOD;
	return a+b;
}

bool prime(ll a)
{
	if (a==1) return 0;
	for (int i=2;i<=round(sqrt(a));++i)
	{
		if (a%i==0) return 0;
	}
	return 1;
}

ll has(string x)
{
	ll h1=0,h2=0;
	x=to_lower(x);
	for (char a: x)
	{
		h1*=bases[0];
		h1+=a-'a';
		h1%=bases[3];
		h2*=bases[1];
		h2+=a-'a';
		h2%=bases[4];
	}
	return h1*(MOD+13893829)+h2;
}

const int N=1020,M=1<<10,SZ=2907;
int n,fac[N],inf[N],dp[N],pre[N],in[N];
pii h[N];
vector<pii> ha[N][SZ];
vector<pii> so;
vector<int> poi;
set<int> poo;
int seg[M+N][N];
int po[N];
int dx[]={0,1,0,-1};
int dy[]={1,0,-1,0};

void addH(int i,int j,int x)
{
	int i1=i;
	i=(i^0x183b4278)%SZ;
	for (auto &a: ha[j][i]) if (a.y==i1)
	{
		a.x=add(a.x,x);
		return;
	}
	ha[j][i].pb({x,i1});
}

void upd(int i,int j,int x)
{
	i+=M;
	seg[i][j]=add(seg[i][j],x);
}

int main()
{
	ios_base::sync_with_stdio(false);
	cin.tie(0);
	for (int i=0;i<10;++i) bases.push_back((rand()%MOD+13893829)%MOD);
	cin>>n;
	fac[0]=1;
	const int MAX=1001;
	for (int i=1;i<=MAX;++i) fac[i]=mult(fac[i-1],i),in[i]=divide(1,i);
	inf[MAX]=divide(1,fac[MAX]);
	for (int i=MAX-1;i>=0;--i) inf[i]=mult(inf[i+1],i+1);
	for (int i=0;i<n;++i) cin>>h[i].x>>h[i].y,poo.insert(h[i].x),poo.insert(h[i].y+1);
	for (auto a: poo) poi.pb(a);
	for (int i=1;i<poi.size();++i) so.pb({poi[i-1],poi[i]});
	so.pb({poi.back(),MOD-6});
	upd(0,0,1);
	for (int k=0;k<=MAX;++k) pre[k]+=1;
	dp[0]=1;
	for (int i=0;i<n;++i)
	{
		for (int j=upper_bound(so.begin(),so.end(),mp(h[i].y+1,0))-so.begin()-1;j>=0 && so[j].x>=h[i].x;--j)
		{
			int jj=j+1;
			for (int k=MAX/2-1;k>=0;--k) upd(jj,k+1,seg[jj+M][k]);
			//for (int k=MAX-1;k>=0;--k) upd(jj,k,-seg[jj+M][k+1]);
			for (int k=0;k<1;++k) upd(jj,k,pre[j]);
			//cout<<en<<i<<' '<<jj<<' '<<so[j].x<<' '<<so[j].y;
			int re=0,r1=1;
			for (int k=0;k<min(MAX/2+5,so[j].y-so[j].x);++k) if (seg[jj+M][k])
			{
				r1=mult(r1,so[j].y-so[j].x-k);
				r1=mult(r1,in[k+1]);
				re=add(re,mult(r1,seg[jj+M][k]));
			}
			for (int k=jj;k<=MAX;++k) pre[k]=add(pre[k],sub(re,dp[jj]));
			dp[jj]=re;
			//cout<<' '<<re<<endl;
			//cout<<i<<' '<<j<<' '<<so[j].x<<' '<<so[j].y<<endl;
			//for (int k=0;k<MAX;++k) cout<<seg[jj+M][k]<<' ';
			//cout<<endl<<en<<endl;
			//upd(j+1,mult(get(0,j+1),so[j].y-so[j].x));
		}
	}
	int res=0;
	for (int i=1;i<=so.size();++i) for (int k=0;k<min(MAX/2+5,so[i-1].y-so[i-1].x);++k) if (seg[i+M][k])
	{
		int r1=1;
		for (int j=so[i-1].y-so[i-1].x;j>=so[i-1].y-so[i-1].x-k;--j) r1=mult(r1,j);
		r1=mult(r1,inf[k+1]);
		r1=mult(r1,seg[i+M][k]);
		//if (r1) cout<<i<<' '<<k<<' '<<r1<<endl;
		res=add(res,r1);
	}
	cout<<res;
}

Compilation message

boat.cpp: In function 'int main()':
boat.cpp:231:16: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for (int i=1;i<poi.size();++i) so.pb({poi[i-1],poi[i]});
               ~^~~~~~~~~~~
boat.cpp:262:16: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for (int i=1;i<=so.size();++i) for (int k=0;k<min(MAX/2+5,so[i-1].y-so[i-1].x);++k) if (seg[i+M][k])
               ~^~~~~~~~~~~

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 66 ms 73208 KB Output is correct
2 Correct 68 ms 73080 KB Output is correct
3 Correct 69 ms 73080 KB Output is correct
4 Correct 67 ms 73080 KB Output is correct
5 Correct 68 ms 73080 KB Output is correct
6 Correct 67 ms 73080 KB Output is correct
7 Correct 67 ms 73080 KB Output is correct
8 Correct 69 ms 73080 KB Output is correct
9 Correct 68 ms 73080 KB Output is correct
10 Correct 66 ms 73080 KB Output is correct
11 Correct 64 ms 73084 KB Output is correct
12 Correct 63 ms 73080 KB Output is correct
13 Correct 65 ms 73080 KB Output is correct
14 Correct 64 ms 73080 KB Output is correct
15 Correct 65 ms 73080 KB Output is correct
16 Correct 66 ms 70648 KB Output is correct
17 Correct 65 ms 70648 KB Output is correct
18 Correct 64 ms 70520 KB Output is correct
19 Correct 62 ms 70648 KB Output is correct
20 Correct 63 ms 70488 KB Output is correct

Subtask #2
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 66 ms 73208 KB Output is correct
2 Correct 68 ms 73080 KB Output is correct
3 Correct 69 ms 73080 KB Output is correct
4 Correct 67 ms 73080 KB Output is correct
5 Correct 68 ms 73080 KB Output is correct
6 Correct 67 ms 73080 KB Output is correct
7 Correct 67 ms 73080 KB Output is correct
8 Correct 69 ms 73080 KB Output is correct
9 Correct 68 ms 73080 KB Output is correct
10 Correct 66 ms 73080 KB Output is correct
11 Correct 64 ms 73084 KB Output is correct
12 Correct 63 ms 73080 KB Output is correct
13 Correct 65 ms 73080 KB Output is correct
14 Correct 64 ms 73080 KB Output is correct
15 Correct 65 ms 73080 KB Output is correct
16 Correct 66 ms 70648 KB Output is correct
17 Correct 65 ms 70648 KB Output is correct
18 Correct 64 ms 70520 KB Output is correct
19 Correct 62 ms 70648 KB Output is correct
20 Correct 63 ms 70488 KB Output is correct
21 Correct 243 ms 73872 KB Output is correct
22 Correct 234 ms 73976 KB Output is correct
23 Correct 241 ms 73848 KB Output is correct
24 Correct 234 ms 73592 KB Output is correct
25 Correct 239 ms 73712 KB Output is correct
26 Correct 304 ms 73720 KB Output is correct
27 Correct 303 ms 73848 KB Output is correct
28 Correct 313 ms 73720 KB Output is correct
29 Correct 299 ms 73604 KB Output is correct
30 Correct 69 ms 73976 KB Output is correct
31 Correct 67 ms 74104 KB Output is correct
32 Correct 67 ms 74112 KB Output is correct
33 Correct 67 ms 74104 KB Output is correct
34 Correct 70 ms 74076 KB Output is correct
35 Correct 65 ms 74104 KB Output is correct
36 Correct 68 ms 74104 KB Output is correct
37 Correct 67 ms 74104 KB Output is correct
38 Correct 67 ms 74104 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 78 ms 70832 KB Output is correct
2 Correct 75 ms 70876 KB Output is correct
3 Correct 77 ms 70904 KB Output is correct
4 Correct 79 ms 70776 KB Output is correct
5 Correct 86 ms 70776 KB Output is correct
6 Correct 105 ms 70828 KB Output is correct
7 Correct 98 ms 70776 KB Output is correct
8 Correct 94 ms 70772 KB Output is correct
9 Correct 94 ms 70776 KB Output is correct
10 Correct 98 ms 70876 KB Output is correct
11 Correct 83 ms 70904 KB Output is correct
12 Correct 79 ms 70904 KB Output is correct
13 Correct 81 ms 70776 KB Output is correct
14 Correct 81 ms 70868 KB Output is correct
15 Correct 81 ms 70776 KB Output is correct
16 Correct 76 ms 70520 KB Output is correct
17 Correct 69 ms 70392 KB Output is correct
18 Correct 69 ms 70520 KB Output is correct
19 Correct 85 ms 70648 KB Output is correct
20 Correct 71 ms 70524 KB Output is correct

Subtask #4
0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 66 ms 73208 KB Output is correct
2 Correct 68 ms 73080 KB Output is correct
3 Correct 69 ms 73080 KB Output is correct
4 Correct 67 ms 73080 KB Output is correct
5 Correct 68 ms 73080 KB Output is correct
6 Correct 67 ms 73080 KB Output is correct
7 Correct 67 ms 73080 KB Output is correct
8 Correct 69 ms 73080 KB Output is correct
9 Correct 68 ms 73080 KB Output is correct
10 Correct 66 ms 73080 KB Output is correct
11 Correct 64 ms 73084 KB Output is correct
12 Correct 63 ms 73080 KB Output is correct
13 Correct 65 ms 73080 KB Output is correct
14 Correct 64 ms 73080 KB Output is correct
15 Correct 65 ms 73080 KB Output is correct
16 Correct 66 ms 70648 KB Output is correct
17 Correct 65 ms 70648 KB Output is correct
18 Correct 64 ms 70520 KB Output is correct
19 Correct 62 ms 70648 KB Output is correct
20 Correct 63 ms 70488 KB Output is correct
21 Correct 243 ms 73872 KB Output is correct
22 Correct 234 ms 73976 KB Output is correct
23 Correct 241 ms 73848 KB Output is correct
24 Correct 234 ms 73592 KB Output is correct
25 Correct 239 ms 73712 KB Output is correct
26 Correct 304 ms 73720 KB Output is correct
27 Correct 303 ms 73848 KB Output is correct
28 Correct 313 ms 73720 KB Output is correct
29 Correct 299 ms 73604 KB Output is correct
30 Correct 69 ms 73976 KB Output is correct
31 Correct 67 ms 74104 KB Output is correct
32 Correct 67 ms 74112 KB Output is correct
33 Correct 67 ms 74104 KB Output is correct
34 Correct 70 ms 74076 KB Output is correct
35 Correct 65 ms 74104 KB Output is correct
36 Correct 68 ms 74104 KB Output is correct
37 Correct 67 ms 74104 KB Output is correct
38 Correct 67 ms 74104 KB Output is correct
39 Correct 78 ms 70832 KB Output is correct
40 Correct 75 ms 70876 KB Output is correct
41 Correct 77 ms 70904 KB Output is correct
42 Correct 79 ms 70776 KB Output is correct
43 Correct 86 ms 70776 KB Output is correct
44 Correct 105 ms 70828 KB Output is correct
45 Correct 98 ms 70776 KB Output is correct
46 Correct 94 ms 70772 KB Output is correct
47 Correct 94 ms 70776 KB Output is correct
48 Correct 98 ms 70876 KB Output is correct
49 Correct 83 ms 70904 KB Output is correct
50 Correct 79 ms 70904 KB Output is correct
51 Correct 81 ms 70776 KB Output is correct
52 Correct 81 ms 70868 KB Output is correct
53 Correct 81 ms 70776 KB Output is correct
54 Correct 76 ms 70520 KB Output is correct
55 Correct 69 ms 70392 KB Output is correct
56 Correct 69 ms 70520 KB Output is correct
57 Correct 85 ms 70648 KB Output is correct
58 Correct 71 ms 70524 KB Output is correct
59 Correct 1265 ms 74236 KB Output is correct
60 Correct 1184 ms 74116 KB Output is correct
61 Correct 1153 ms 74304 KB Output is correct
62 Correct 1361 ms 74128 KB Output is correct
63 Correct 1223 ms 74152 KB Output is correct
64 Execution timed out 2068 ms 74208 KB Time limit exceeded
65 Halted 0 ms 0 KB -