Submission #113986

# Submission time Handle Problem Language Result Execution time Memory
113986 2019-05-29T12:27:15 Z dorijanlendvaj Boat (APIO16_boat) C++14
58 / 100
2000 ms 74232 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]));
			}
			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 '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:263:16: 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])
               ~^~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 64 ms 73208 KB Output is correct
2 Correct 64 ms 73080 KB Output is correct
3 Correct 65 ms 73128 KB Output is correct
4 Correct 64 ms 73080 KB Output is correct
5 Correct 66 ms 73208 KB Output is correct
6 Correct 65 ms 72964 KB Output is correct
7 Correct 65 ms 73076 KB Output is correct
8 Correct 66 ms 73080 KB Output is correct
9 Correct 62 ms 73080 KB Output is correct
10 Correct 63 ms 73080 KB Output is correct
11 Correct 63 ms 73080 KB Output is correct
12 Correct 64 ms 73176 KB Output is correct
13 Correct 64 ms 73080 KB Output is correct
14 Correct 64 ms 73072 KB Output is correct
15 Correct 64 ms 73080 KB Output is correct
16 Correct 62 ms 70492 KB Output is correct
17 Correct 61 ms 70520 KB Output is correct
18 Correct 62 ms 70520 KB Output is correct
19 Correct 60 ms 70520 KB Output is correct
20 Correct 61 ms 70648 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 64 ms 73208 KB Output is correct
2 Correct 64 ms 73080 KB Output is correct
3 Correct 65 ms 73128 KB Output is correct
4 Correct 64 ms 73080 KB Output is correct
5 Correct 66 ms 73208 KB Output is correct
6 Correct 65 ms 72964 KB Output is correct
7 Correct 65 ms 73076 KB Output is correct
8 Correct 66 ms 73080 KB Output is correct
9 Correct 62 ms 73080 KB Output is correct
10 Correct 63 ms 73080 KB Output is correct
11 Correct 63 ms 73080 KB Output is correct
12 Correct 64 ms 73176 KB Output is correct
13 Correct 64 ms 73080 KB Output is correct
14 Correct 64 ms 73072 KB Output is correct
15 Correct 64 ms 73080 KB Output is correct
16 Correct 62 ms 70492 KB Output is correct
17 Correct 61 ms 70520 KB Output is correct
18 Correct 62 ms 70520 KB Output is correct
19 Correct 60 ms 70520 KB Output is correct
20 Correct 61 ms 70648 KB Output is correct
21 Correct 246 ms 73848 KB Output is correct
22 Correct 271 ms 73780 KB Output is correct
23 Correct 245 ms 73720 KB Output is correct
24 Correct 244 ms 73820 KB Output is correct
25 Correct 249 ms 73848 KB Output is correct
26 Correct 292 ms 73720 KB Output is correct
27 Correct 298 ms 73848 KB Output is correct
28 Correct 305 ms 73592 KB Output is correct
29 Correct 304 ms 73592 KB Output is correct
30 Correct 64 ms 74104 KB Output is correct
31 Correct 65 ms 74008 KB Output is correct
32 Correct 64 ms 74104 KB Output is correct
33 Correct 68 ms 74104 KB Output is correct
34 Correct 67 ms 74104 KB Output is correct
35 Correct 66 ms 74104 KB Output is correct
36 Correct 67 ms 73848 KB Output is correct
37 Correct 67 ms 73976 KB Output is correct
38 Correct 74 ms 74232 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 83 ms 70836 KB Output is correct
2 Correct 74 ms 70776 KB Output is correct
3 Correct 77 ms 71008 KB Output is correct
4 Correct 83 ms 70904 KB Output is correct
5 Correct 79 ms 70904 KB Output is correct
6 Correct 95 ms 70780 KB Output is correct
7 Correct 96 ms 70760 KB Output is correct
8 Correct 96 ms 70776 KB Output is correct
9 Correct 100 ms 70776 KB Output is correct
10 Correct 93 ms 70904 KB Output is correct
11 Correct 99 ms 70904 KB Output is correct
12 Correct 76 ms 70864 KB Output is correct
13 Correct 120 ms 70864 KB Output is correct
14 Correct 78 ms 70904 KB Output is correct
15 Correct 86 ms 70896 KB Output is correct
16 Correct 73 ms 70520 KB Output is correct
17 Correct 67 ms 70392 KB Output is correct
18 Correct 69 ms 70520 KB Output is correct
19 Correct 68 ms 70520 KB Output is correct
20 Correct 71 ms 70520 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 64 ms 73208 KB Output is correct
2 Correct 64 ms 73080 KB Output is correct
3 Correct 65 ms 73128 KB Output is correct
4 Correct 64 ms 73080 KB Output is correct
5 Correct 66 ms 73208 KB Output is correct
6 Correct 65 ms 72964 KB Output is correct
7 Correct 65 ms 73076 KB Output is correct
8 Correct 66 ms 73080 KB Output is correct
9 Correct 62 ms 73080 KB Output is correct
10 Correct 63 ms 73080 KB Output is correct
11 Correct 63 ms 73080 KB Output is correct
12 Correct 64 ms 73176 KB Output is correct
13 Correct 64 ms 73080 KB Output is correct
14 Correct 64 ms 73072 KB Output is correct
15 Correct 64 ms 73080 KB Output is correct
16 Correct 62 ms 70492 KB Output is correct
17 Correct 61 ms 70520 KB Output is correct
18 Correct 62 ms 70520 KB Output is correct
19 Correct 60 ms 70520 KB Output is correct
20 Correct 61 ms 70648 KB Output is correct
21 Correct 246 ms 73848 KB Output is correct
22 Correct 271 ms 73780 KB Output is correct
23 Correct 245 ms 73720 KB Output is correct
24 Correct 244 ms 73820 KB Output is correct
25 Correct 249 ms 73848 KB Output is correct
26 Correct 292 ms 73720 KB Output is correct
27 Correct 298 ms 73848 KB Output is correct
28 Correct 305 ms 73592 KB Output is correct
29 Correct 304 ms 73592 KB Output is correct
30 Correct 64 ms 74104 KB Output is correct
31 Correct 65 ms 74008 KB Output is correct
32 Correct 64 ms 74104 KB Output is correct
33 Correct 68 ms 74104 KB Output is correct
34 Correct 67 ms 74104 KB Output is correct
35 Correct 66 ms 74104 KB Output is correct
36 Correct 67 ms 73848 KB Output is correct
37 Correct 67 ms 73976 KB Output is correct
38 Correct 74 ms 74232 KB Output is correct
39 Correct 83 ms 70836 KB Output is correct
40 Correct 74 ms 70776 KB Output is correct
41 Correct 77 ms 71008 KB Output is correct
42 Correct 83 ms 70904 KB Output is correct
43 Correct 79 ms 70904 KB Output is correct
44 Correct 95 ms 70780 KB Output is correct
45 Correct 96 ms 70760 KB Output is correct
46 Correct 96 ms 70776 KB Output is correct
47 Correct 100 ms 70776 KB Output is correct
48 Correct 93 ms 70904 KB Output is correct
49 Correct 99 ms 70904 KB Output is correct
50 Correct 76 ms 70864 KB Output is correct
51 Correct 120 ms 70864 KB Output is correct
52 Correct 78 ms 70904 KB Output is correct
53 Correct 86 ms 70896 KB Output is correct
54 Correct 73 ms 70520 KB Output is correct
55 Correct 67 ms 70392 KB Output is correct
56 Correct 69 ms 70520 KB Output is correct
57 Correct 68 ms 70520 KB Output is correct
58 Correct 71 ms 70520 KB Output is correct
59 Correct 1311 ms 74232 KB Output is correct
60 Correct 1173 ms 74232 KB Output is correct
61 Correct 1151 ms 74224 KB Output is correct
62 Correct 1335 ms 74232 KB Output is correct
63 Correct 1316 ms 74232 KB Output is correct
64 Execution timed out 2070 ms 74144 KB Time limit exceeded
65 Halted 0 ms 0 KB -