oj.uz

Submission #113988

# Submission time Handle Problem Language Result Execution time Memory
113988 2019-05-29T12:47:04 Z dorijanlendvaj Boat (APIO16_boat) C++14
100 / 100
 1623 ms 78344 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;
}

#define int unsigned

const int N=1020,M=1<<10,SZ=2907;
int n,fac[N],inf[N],dp[N],pre[N],in[N],table[N][N];
pair<int,int> h[N];
vector<pair<int,int>> ha[N][SZ];
vector<pair<int,int>> so;
vector<int> poi;
set<int> poo;
int seg[M+N][N];
int po[N];

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});
}

inline void upd(int i,int j,int x)
{
	seg[i+M][j]+=x;
	if (seg[i+M][j]>=MOD) seg[i+M][j]-=MOD;
}

signed main()
{
	ios_base::sync_with_stdio(false);
	cin.tie(0);
	for (int i=0;i<10;++i) bases.push_back((rand()%MOD+13893829)%MOD);
	//freopen("er.txt","r",stdin);
	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 (signed 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 j=0;j<so.size();++j)
	{
		int r1=1;
		int zz=min(MAX/2+5,so[j].y-so[j].x);
		for (int k=0;k<zz;++k)
		{
			r1=mult(r1,so[j].y-so[j].x-k);
			r1=mult(r1,in[k+1]);
			table[j][k]=r1;
		}
	}
	for (int i=0;i<n;++i)
	{
		for (signed j=upper_bound(so.begin(),so.end(),mp(h[i].y+1,0u))-so.begin()-1;j>=0 && so[j].x>=h[i].x;--j)
		{
			int jj=j+1;
			for (signed 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;
			int zz=min(MAX/2+5,so[j].y-so[j].x);
			for (int k=0;k<zz;++k) if (seg[jj+M][k])
			{
				re=add(re,mult(table[j][k],seg[jj+M][k]));
			}
			int z=sub(re,dp[jj]);
			for (int k=jj;k<=MAX;++k) pre[k]=add(pre[k],z);
			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 'void upd(unsigned int, unsigned int, unsigned int)':
boat.cpp:215:17: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  if (seg[i+M][j]>=MOD) seg[i+M][j]-=MOD;
      ~~~~~~~~~~~^~~~~
boat.cpp: In function 'int main()':
boat.cpp:257:13: warning: unused variable 'r1' [-Wunused-variable]
    int re=0,r1=1;
             ^~

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 78 ms 77048 KB Output is correct
2 Correct 78 ms 77048 KB Output is correct
3 Correct 77 ms 76984 KB Output is correct
4 Correct 86 ms 77064 KB Output is correct
5 Correct 84 ms 77048 KB Output is correct
6 Correct 75 ms 77088 KB Output is correct
7 Correct 85 ms 77048 KB Output is correct
8 Correct 75 ms 77048 KB Output is correct
9 Correct 80 ms 76972 KB Output is correct
10 Correct 76 ms 77048 KB Output is correct
11 Correct 74 ms 77020 KB Output is correct
12 Correct 77 ms 77204 KB Output is correct
13 Correct 78 ms 77048 KB Output is correct
14 Correct 77 ms 77048 KB Output is correct
15 Correct 76 ms 76968 KB Output is correct
16 Correct 64 ms 71288 KB Output is correct
17 Correct 64 ms 71288 KB Output is correct
18 Correct 65 ms 71288 KB Output is correct
19 Correct 65 ms 71416 KB Output is correct
20 Correct 67 ms 71288 KB Output is correct

Subtask #2
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 78 ms 77048 KB Output is correct
2 Correct 78 ms 77048 KB Output is correct
3 Correct 77 ms 76984 KB Output is correct
4 Correct 86 ms 77064 KB Output is correct
5 Correct 84 ms 77048 KB Output is correct
6 Correct 75 ms 77088 KB Output is correct
7 Correct 85 ms 77048 KB Output is correct
8 Correct 75 ms 77048 KB Output is correct
9 Correct 80 ms 76972 KB Output is correct
10 Correct 76 ms 77048 KB Output is correct
11 Correct 74 ms 77020 KB Output is correct
12 Correct 77 ms 77204 KB Output is correct
13 Correct 78 ms 77048 KB Output is correct
14 Correct 77 ms 77048 KB Output is correct
15 Correct 76 ms 76968 KB Output is correct
16 Correct 64 ms 71288 KB Output is correct
17 Correct 64 ms 71288 KB Output is correct
18 Correct 65 ms 71288 KB Output is correct
19 Correct 65 ms 71416 KB Output is correct
20 Correct 67 ms 71288 KB Output is correct
21 Correct 240 ms 77484 KB Output is correct
22 Correct 236 ms 77688 KB Output is correct
23 Correct 227 ms 77316 KB Output is correct
24 Correct 247 ms 77424 KB Output is correct
25 Correct 241 ms 77348 KB Output is correct
26 Correct 294 ms 77176 KB Output is correct
27 Correct 292 ms 77252 KB Output is correct
28 Correct 285 ms 77176 KB Output is correct
29 Correct 301 ms 77044 KB Output is correct
30 Correct 79 ms 78072 KB Output is correct
31 Correct 78 ms 78072 KB Output is correct
32 Correct 77 ms 78072 KB Output is correct
33 Correct 75 ms 78076 KB Output is correct
34 Correct 75 ms 78072 KB Output is correct
35 Correct 76 ms 78072 KB Output is correct
36 Correct 80 ms 78072 KB Output is correct
37 Correct 78 ms 78072 KB Output is correct
38 Correct 84 ms 77944 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 81 ms 71644 KB Output is correct
2 Correct 76 ms 71644 KB Output is correct
3 Correct 80 ms 71672 KB Output is correct
4 Correct 80 ms 71764 KB Output is correct
5 Correct 82 ms 71564 KB Output is correct
6 Correct 93 ms 71672 KB Output is correct
7 Correct 92 ms 71668 KB Output is correct
8 Correct 92 ms 71672 KB Output is correct
9 Correct 90 ms 71672 KB Output is correct
10 Correct 92 ms 71800 KB Output is correct
11 Correct 88 ms 71672 KB Output is correct
12 Correct 79 ms 71588 KB Output is correct
13 Correct 79 ms 71644 KB Output is correct
14 Correct 81 ms 71784 KB Output is correct
15 Correct 81 ms 71800 KB Output is correct
16 Correct 71 ms 71032 KB Output is correct
17 Correct 70 ms 70904 KB Output is correct
18 Correct 72 ms 71032 KB Output is correct
19 Correct 70 ms 70904 KB Output is correct
20 Correct 72 ms 70904 KB Output is correct

Subtask #4
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 78 ms 77048 KB Output is correct
2 Correct 78 ms 77048 KB Output is correct
3 Correct 77 ms 76984 KB Output is correct
4 Correct 86 ms 77064 KB Output is correct
5 Correct 84 ms 77048 KB Output is correct
6 Correct 75 ms 77088 KB Output is correct
7 Correct 85 ms 77048 KB Output is correct
8 Correct 75 ms 77048 KB Output is correct
9 Correct 80 ms 76972 KB Output is correct
10 Correct 76 ms 77048 KB Output is correct
11 Correct 74 ms 77020 KB Output is correct
12 Correct 77 ms 77204 KB Output is correct
13 Correct 78 ms 77048 KB Output is correct
14 Correct 77 ms 77048 KB Output is correct
15 Correct 76 ms 76968 KB Output is correct
16 Correct 64 ms 71288 KB Output is correct
17 Correct 64 ms 71288 KB Output is correct
18 Correct 65 ms 71288 KB Output is correct
19 Correct 65 ms 71416 KB Output is correct
20 Correct 67 ms 71288 KB Output is correct
21 Correct 240 ms 77484 KB Output is correct
22 Correct 236 ms 77688 KB Output is correct
23 Correct 227 ms 77316 KB Output is correct
24 Correct 247 ms 77424 KB Output is correct
25 Correct 241 ms 77348 KB Output is correct
26 Correct 294 ms 77176 KB Output is correct
27 Correct 292 ms 77252 KB Output is correct
28 Correct 285 ms 77176 KB Output is correct
29 Correct 301 ms 77044 KB Output is correct
30 Correct 79 ms 78072 KB Output is correct
31 Correct 78 ms 78072 KB Output is correct
32 Correct 77 ms 78072 KB Output is correct
33 Correct 75 ms 78076 KB Output is correct
34 Correct 75 ms 78072 KB Output is correct
35 Correct 76 ms 78072 KB Output is correct
36 Correct 80 ms 78072 KB Output is correct
37 Correct 78 ms 78072 KB Output is correct
38 Correct 84 ms 77944 KB Output is correct
39 Correct 81 ms 71644 KB Output is correct
40 Correct 76 ms 71644 KB Output is correct
41 Correct 80 ms 71672 KB Output is correct
42 Correct 80 ms 71764 KB Output is correct
43 Correct 82 ms 71564 KB Output is correct
44 Correct 93 ms 71672 KB Output is correct
45 Correct 92 ms 71668 KB Output is correct
46 Correct 92 ms 71672 KB Output is correct
47 Correct 90 ms 71672 KB Output is correct
48 Correct 92 ms 71800 KB Output is correct
49 Correct 88 ms 71672 KB Output is correct
50 Correct 79 ms 71588 KB Output is correct
51 Correct 79 ms 71644 KB Output is correct
52 Correct 81 ms 71784 KB Output is correct
53 Correct 81 ms 71800 KB Output is correct
54 Correct 71 ms 71032 KB Output is correct
55 Correct 70 ms 70904 KB Output is correct
56 Correct 72 ms 71032 KB Output is correct
57 Correct 70 ms 70904 KB Output is correct
58 Correct 72 ms 70904 KB Output is correct
59 Correct 1018 ms 78344 KB Output is correct
60 Correct 749 ms 78108 KB Output is correct
61 Correct 731 ms 78200 KB Output is correct
62 Correct 833 ms 78200 KB Output is correct
63 Correct 790 ms 78200 KB Output is correct
64 Correct 1597 ms 78300 KB Output is correct
65 Correct 1623 ms 78128 KB Output is correct
66 Correct 1571 ms 78172 KB Output is correct
67 Correct 1579 ms 78188 KB Output is correct
68 Correct 1593 ms 78176 KB Output is correct
69 Correct 721 ms 78200 KB Output is correct
70 Correct 754 ms 78200 KB Output is correct
71 Correct 937 ms 78200 KB Output is correct
72 Correct 754 ms 78200 KB Output is correct
73 Correct 764 ms 78172 KB Output is correct
74 Correct 159 ms 71544 KB Output is correct
75 Correct 155 ms 71544 KB Output is correct
76 Correct 162 ms 71544 KB Output is correct
77 Correct 158 ms 71460 KB Output is correct
78 Correct 163 ms 71416 KB Output is correct