Submission #262424

# Submission time Handle Problem Language Result Execution time Memory
262424 2020-08-12T22:09:59 Z amiratou Horses (IOI15_horses) C++14
100 / 100
464 ms 95864 KB
#include "horses.h"
#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define fi first
#define se second
const int MOD = 1000000007;
typedef pair<long double,ll> ii;
ll x[500005],y[500005];
int n;
ii st[2000005],A[500005],lazy[2000005];
void mod(ll& a){
	if(a>=MOD)a%=MOD;
}
int binpow(ll a,ll b){
	if(!b)return 1;
	ll res=binpow(a,b/2);
	res*=res;
	mod(res);
	if(b&1)res*=a,mod(res);
	return (int)res;
}
void build(int node,int l,int r){
	lazy[node]={0,1};
	if(l==r){
		st[node]={A[l].fi+log(y[l]),A[l].se*y[l]};
		mod(st[node].se);
		return;
	}
	int med=(l+r)>>1;
	build(node*2,l,med),build(node*2+1,med+1,r);
	st[node]=max(st[node*2],st[node*2+1]);
}
void prop(int node,int l,int r){
	if(lazy[node].fi){
		st[node].fi+=lazy[node].fi;
		st[node].se*=lazy[node].se;
		mod(st[node].se);
		if(l!=r){
			lazy[node*2].fi+=lazy[node].fi;
			lazy[node*2+1].fi+=lazy[node].fi;
			lazy[node*2].se*=lazy[node].se;
			lazy[node*2+1].se*=lazy[node].se;
			mod(lazy[node*2].se),mod(lazy[node*2+1].se);
		}
		lazy[node]={0,1};
	}
}
void updx(int node,int l,int r,int i,int j,ii val){
	prop(node,l,r);
	if(l>j || r<i)
		return;
	if(l>=i && r<=j){
		lazy[node]=val;
		prop(node,l,r);
		return;
	}
	int med=(l+r)>>1;
	updx(node*2,l,med,i,j,val),updx(node*2+1,med+1,r,i,j,val);
	st[node]=max(st[node*2],st[node*2+1]);
}
void updy(int node,int l,int r,int idx,ii val){
	prop(node,l,r);
	if(l>idx || r<idx)
		return;
	if(l==r){
		st[node].fi+=val.fi;
		st[node].se*=val.se;
		mod(st[node].se);
		return;
	}
	int med=(l+r)>>1;
	updy(node*2,l,med,idx,val),updy(node*2+1,med+1,r,idx,val);
	st[node]=max(st[node*2],st[node*2+1]);
}

int init(int N, int X[], int Y[]) {
	n=N;
	for (int i = 0; i < N; ++i){
		x[i]=X[i],y[i]=Y[i];
		A[i].fi=log(x[i]);
		if(i)A[i].fi+=A[i-1].fi;
		A[i].se=x[i];
		if(i)A[i].se*=A[i-1].se,mod(A[i].se);
	}
	build(1,0,n-1);
	return (int)(st[1].se);
}

int updateX(int pos, int val) {	
	ii h={-log(x[pos]),binpow(x[pos],MOD-2)};
	x[pos]=val;
	h.fi+=log(val),h.se*=val;
	mod(h.se);
	updx(1,0,n-1,pos,n-1,h);
	prop(1,0,n-1);
	return (int)st[1].se;
}

int updateY(int pos, int val) {
	ii h={-log(y[pos]),binpow(y[pos],MOD-2)};
	y[pos]=val;
	h.fi+=log(val),h.se*=val;
	mod(h.se);
	updy(1,0,n-1,pos,h);
	prop(1,0,n-1);
	return (int)st[1].se;
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 1 ms 384 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 0 ms 384 KB Output is correct
13 Correct 1 ms 384 KB Output is correct
14 Correct 1 ms 384 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 1 ms 384 KB Output is correct
17 Correct 1 ms 384 KB Output is correct
18 Correct 1 ms 384 KB Output is correct
19 Correct 1 ms 384 KB Output is correct
20 Correct 1 ms 384 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 1 ms 384 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 0 ms 384 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 0 ms 384 KB Output is correct
10 Correct 1 ms 384 KB Output is correct
11 Correct 0 ms 384 KB Output is correct
12 Correct 1 ms 384 KB Output is correct
13 Correct 0 ms 384 KB Output is correct
14 Correct 1 ms 384 KB Output is correct
15 Correct 0 ms 384 KB Output is correct
16 Correct 0 ms 384 KB Output is correct
17 Correct 0 ms 384 KB Output is correct
18 Correct 1 ms 384 KB Output is correct
19 Correct 0 ms 384 KB Output is correct
20 Correct 1 ms 384 KB Output is correct
21 Correct 0 ms 384 KB Output is correct
22 Correct 1 ms 384 KB Output is correct
23 Correct 2 ms 512 KB Output is correct
24 Correct 2 ms 512 KB Output is correct
25 Correct 2 ms 512 KB Output is correct
26 Correct 2 ms 512 KB Output is correct
27 Correct 2 ms 512 KB Output is correct
28 Correct 2 ms 512 KB Output is correct
29 Correct 2 ms 512 KB Output is correct
30 Correct 2 ms 512 KB Output is correct
31 Correct 2 ms 512 KB Output is correct
32 Correct 1 ms 512 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 213 ms 95864 KB Output is correct
2 Correct 459 ms 95240 KB Output is correct
3 Correct 400 ms 95224 KB Output is correct
4 Correct 441 ms 95224 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 0 ms 384 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 0 ms 384 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 0 ms 384 KB Output is correct
11 Correct 0 ms 384 KB Output is correct
12 Correct 1 ms 384 KB Output is correct
13 Correct 0 ms 384 KB Output is correct
14 Correct 1 ms 384 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 1 ms 384 KB Output is correct
17 Correct 1 ms 384 KB Output is correct
18 Correct 1 ms 384 KB Output is correct
19 Correct 0 ms 384 KB Output is correct
20 Correct 1 ms 384 KB Output is correct
21 Correct 1 ms 384 KB Output is correct
22 Correct 1 ms 384 KB Output is correct
23 Correct 2 ms 512 KB Output is correct
24 Correct 2 ms 512 KB Output is correct
25 Correct 2 ms 544 KB Output is correct
26 Correct 2 ms 512 KB Output is correct
27 Correct 2 ms 512 KB Output is correct
28 Correct 2 ms 512 KB Output is correct
29 Correct 2 ms 512 KB Output is correct
30 Correct 2 ms 512 KB Output is correct
31 Correct 2 ms 512 KB Output is correct
32 Correct 2 ms 512 KB Output is correct
33 Correct 144 ms 94200 KB Output is correct
34 Correct 144 ms 94328 KB Output is correct
35 Correct 162 ms 94204 KB Output is correct
36 Correct 160 ms 94200 KB Output is correct
37 Correct 106 ms 94200 KB Output is correct
38 Correct 129 ms 94200 KB Output is correct
39 Correct 99 ms 94228 KB Output is correct
40 Correct 132 ms 94328 KB Output is correct
41 Correct 92 ms 94380 KB Output is correct
42 Correct 93 ms 94328 KB Output is correct
43 Correct 115 ms 94200 KB Output is correct
44 Correct 117 ms 94200 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 1 ms 384 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 0 ms 384 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 1 ms 384 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 1 ms 384 KB Output is correct
13 Correct 1 ms 384 KB Output is correct
14 Correct 1 ms 384 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 1 ms 384 KB Output is correct
17 Correct 1 ms 384 KB Output is correct
18 Correct 1 ms 384 KB Output is correct
19 Correct 0 ms 384 KB Output is correct
20 Correct 1 ms 384 KB Output is correct
21 Correct 1 ms 384 KB Output is correct
22 Correct 1 ms 384 KB Output is correct
23 Correct 2 ms 512 KB Output is correct
24 Correct 2 ms 512 KB Output is correct
25 Correct 2 ms 512 KB Output is correct
26 Correct 2 ms 512 KB Output is correct
27 Correct 2 ms 512 KB Output is correct
28 Correct 2 ms 512 KB Output is correct
29 Correct 2 ms 512 KB Output is correct
30 Correct 2 ms 512 KB Output is correct
31 Correct 2 ms 512 KB Output is correct
32 Correct 1 ms 512 KB Output is correct
33 Correct 209 ms 95408 KB Output is correct
34 Correct 464 ms 95352 KB Output is correct
35 Correct 437 ms 95200 KB Output is correct
36 Correct 449 ms 95224 KB Output is correct
37 Correct 151 ms 94360 KB Output is correct
38 Correct 142 ms 94328 KB Output is correct
39 Correct 160 ms 94200 KB Output is correct
40 Correct 160 ms 94200 KB Output is correct
41 Correct 106 ms 94264 KB Output is correct
42 Correct 129 ms 94328 KB Output is correct
43 Correct 96 ms 94200 KB Output is correct
44 Correct 132 ms 94328 KB Output is correct
45 Correct 88 ms 94204 KB Output is correct
46 Correct 89 ms 94328 KB Output is correct
47 Correct 114 ms 94200 KB Output is correct
48 Correct 113 ms 94200 KB Output is correct
49 Correct 413 ms 95224 KB Output is correct
50 Correct 407 ms 95216 KB Output is correct
51 Correct 256 ms 95096 KB Output is correct
52 Correct 263 ms 95020 KB Output is correct
53 Correct 340 ms 95216 KB Output is correct
54 Correct 258 ms 94968 KB Output is correct
55 Correct 223 ms 94220 KB Output is correct
56 Correct 298 ms 94968 KB Output is correct
57 Correct 187 ms 94840 KB Output is correct
58 Correct 219 ms 94968 KB Output is correct
59 Correct 129 ms 93948 KB Output is correct