Submission #285890

# Submission time Handle Problem Language Result Execution time Memory
285890 2020-08-29T17:23:54 Z Atill83 Horses (IOI15_horses) C++14
77 / 100
1500 ms 73080 KB
#include "horses.h"
#include <bits/stdc++.h>
#define ff first
#define ss second
using namespace std;
const int MAXN = (int) 5e5 + 5;
const int mod = (int) 1e9+7;
typedef long long ll;
typedef pair<ll, ll> pll;
ll x[MAXN], y[MAXN], pre[MAXN], n;
set<pll> st;
ll bp(ll a, ll b){
	ll res = 1;
	while(b){
		if(b % 2) res = (res * a) % mod;
		a = (a * a) % mod;
		b = b / 2;
	}
	return res;
}


ll t[4*MAXN];
void build(int v, int l, int r){
	if(l == r){ t[v] = y[l];}
	else{
		int m = (l + r) / 2;
		build(2*v, l, m);
		build(2*v + 1, m + 1, r);
		t[v] = max(t[2*v], t[2*v + 1]);
	} 
}

void upd(int v, int tl, int tr, int pos){
	if(tl == tr){
		t[v] = y[tl];
	}else{
		int tm = (tl + tr) / 2;
		if(pos <= tm) 
			upd(2*v, tl, tm, pos);
		else
			upd(2*v + 1, tm + 1, tr, pos);
		t[v] = max(t[2*v], t[2*v + 1]);
	}
}

ll que(int v, int tl , int tr, int l, int r){
	if(l > r) return 0;
	else if(tl == l && tr == r)
		return t[v];
	else{
		int tm = (tl + tr) / 2;
		return max(que(2*v, tl, tm, l, min(tm, r)), que(2*v + 1, tm + 1, tr, max(tm + 1, l), r));
	}
}

ll ft[MAXN];

void updi(int v, int val){
	for(; v < MAXN; v += (v&-v)){
		ft[v] = (ft[v] * val) % mod;
	}
}

ll get(int v){
	ll res = 1;
	for(; v;  v -= (v&-v)){
		res = (res * ft[v]) % mod;
	}
	return res;
}



ll gt(){
	ll top = 1;
	ll mx = 0;
	auto u = st.end();
	do{
		u--;
		top *= (*u).ss;
	} while(u != st.begin() && top < mod);
	top = 1;
	auto v = u;
	//cerr<<(*u).ff<<" "<<(*u).ss.ff<<endl;
	for(; u != st.end(); u++){
		if(u != v) 
			top *= (*u).ss;
		int l = (*u).ff;
		int r = (next(u) == st.end() ? n : (*next(u)).ff - 1);
		mx = max(mx, top*que(1, 0, n, l, r));
		//cerr<<l<<" "<<r<<" "<<mx<<endl;
	}
	mx %= mod;
	return get((*v).ff) * mx % mod;
}


int init(int N, int X[], int Y[]) {
	n = N;
	for(int i = 0; i <= n; i++) ft[i] = 1;
	for(int i = 1; i <= n; i++){
		x[i] = X[i - 1];
		y[i] = Y[i - 1];
		if(x[i] == 1){
			if(!st.empty() && (*st.rbegin()).ss == 1){

			}else{
				st.insert({i, x[i]});
			}
		}else{
			st.insert({i, x[i]});
		}
		updi(i, x[i]);
	}

	for(int i = 1; i <= n; i++){
		pre[i] = pre[i - 1] * x[i] % mod;
	}

	build(1, 0, n);
	return gt();
}



int updateX(int pos, int val) {	
	pos++;
	updi(pos, bp(x[pos], mod - 2)*val % mod);
	
	if(x[pos] == val){

	}else if(x[pos] == 1){
		x[pos] = val;
		auto u = prev(st.upper_bound({pos, mod}));
		int l = (*u).ff;
		int r;
		if(next(u) == st.end()){
			r = n;
		}else{
			r = (*next(u)).ff - 1;
		}
		st.erase(u);
		if(l != pos)
			st.insert({l, 1});
		if(r != pos)
			st.insert(make_pair(pos + 1, 1));
		st.insert({pos, val});
	}else{
		if(val == 1){
			auto u = st.lower_bound({pos, x[pos]});
			st.erase(u);
			x[pos] = val;
			auto v = st.insert({pos, 1}).ff;
			if(v != st.end()){
				u = v;
				u++;
				if((*u).ss == 1){
					st.erase(u);
				}
			}
			if(v != st.begin()){
				u = v;
				u--;
				if((*u).ss == 1){
					st.erase(v);
				}
			}
		}else{
			auto u = st.lower_bound({pos, x[pos]});
			st.erase(u);
			x[pos] = val;
			st.insert({pos, x[pos]});
		}
	}
	return gt();
}

int updateY(int pos, int val) {
	pos++;
	y[pos] = val;
	upd(1, 0, n, pos);
	return gt();
}

Compilation message

horses.cpp: In function 'll gt()':
horses.cpp:3:12: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
    3 | #define ff first
      |            ^
horses.cpp:89:16: note: in expansion of macro 'ff'
   89 |   int l = (*u).ff;
      |                ^~
horses.cpp:90:32: warning: conversion from 'll' {aka 'long long int'} to 'int' may change value [-Wconversion]
   90 |   int r = (next(u) == st.end() ? n : (*next(u)).ff - 1);
      |           ~~~~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
horses.cpp:90:32: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
horses.cpp:91:30: warning: conversion from 'll' {aka 'long long int'} to 'int' may change value [-Wconversion]
   91 |   mx = max(mx, top*que(1, 0, n, l, r));
      |                              ^
horses.cpp:3:12: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
    3 | #define ff first
      |            ^
horses.cpp:95:18: note: in expansion of macro 'ff'
   95 |  return get((*v).ff) * mx % mod;
      |                  ^~
horses.cpp: In function 'int init(int, int*, int*)':
horses.cpp:114:14: warning: conversion from 'll' {aka 'long long int'} to 'int' may change value [-Wconversion]
  114 |   updi(i, x[i]);
      |           ~~~^
horses.cpp:121:14: warning: conversion from 'll' {aka 'long long int'} to 'int' may change value [-Wconversion]
  121 |  build(1, 0, n);
      |              ^
horses.cpp:122:11: warning: conversion from 'll' {aka 'long long int'} to 'int' may change value [-Wconversion]
  122 |  return gt();
      |         ~~^~
horses.cpp: In function 'int updateX(int, int)':
horses.cpp:129:36: warning: conversion from 'll' {aka 'long long int'} to 'int' may change value [-Wconversion]
  129 |  updi(pos, bp(x[pos], mod - 2)*val % mod);
      |            ~~~~~~~~~~~~~~~~~~~~~~~~^~~~~
horses.cpp:3:12: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
    3 | #define ff first
      |            ^
horses.cpp:136:16: note: in expansion of macro 'ff'
  136 |   int l = (*u).ff;
      |                ^~
horses.cpp:139:8: warning: conversion from 'll' {aka 'long long int'} to 'int' may change value [-Wconversion]
  139 |    r = n;
      |        ^
horses.cpp:141:22: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
  141 |    r = (*next(u)).ff - 1;
      |        ~~~~~~~~~~~~~~^~~
horses.cpp:176:11: warning: conversion from 'll' {aka 'long long int'} to 'int' may change value [-Wconversion]
  176 |  return gt();
      |         ~~^~
horses.cpp: In function 'int updateY(int, int)':
horses.cpp:182:12: warning: conversion from 'll' {aka 'long long int'} to 'int' may change value [-Wconversion]
  182 |  upd(1, 0, n, pos);
      |            ^
horses.cpp:183:11: warning: conversion from 'll' {aka 'long long int'} to 'int' may change value [-Wconversion]
  183 |  return gt();
      |         ~~^~
# Verdict Execution time Memory Grader output
1 Correct 0 ms 384 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 0 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 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 432 KB Output is correct
12 Correct 0 ms 384 KB Output is correct
13 Correct 1 ms 384 KB Output is correct
14 Correct 0 ms 384 KB Output is correct
15 Correct 0 ms 384 KB Output is correct
16 Correct 1 ms 384 KB Output is correct
17 Correct 0 ms 384 KB Output is correct
18 Correct 0 ms 384 KB Output is correct
19 Correct 0 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 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 0 ms 384 KB Output is correct
11 Correct 0 ms 384 KB Output is correct
12 Correct 0 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 0 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 256 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 1 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 7 ms 512 KB Output is correct
28 Correct 3 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 3 ms 512 KB Output is correct
32 Correct 7 ms 512 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 863 ms 60664 KB Output is correct
2 Correct 451 ms 60536 KB Output is correct
3 Correct 462 ms 60536 KB Output is correct
4 Correct 567 ms 60664 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 0 ms 384 KB Output is correct
5 Correct 0 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 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 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 0 ms 384 KB Output is correct
19 Correct 1 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 1 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 8 ms 512 KB Output is correct
28 Correct 3 ms 512 KB Output is correct
29 Correct 2 ms 640 KB Output is correct
30 Correct 2 ms 512 KB Output is correct
31 Correct 3 ms 512 KB Output is correct
32 Correct 7 ms 512 KB Output is correct
33 Correct 79 ms 32408 KB Output is correct
34 Correct 70 ms 32504 KB Output is correct
35 Correct 257 ms 70392 KB Output is correct
36 Correct 245 ms 70392 KB Output is correct
37 Correct 222 ms 30712 KB Output is correct
38 Correct 236 ms 62532 KB Output is correct
39 Correct 69 ms 30200 KB Output is correct
40 Correct 223 ms 65400 KB Output is correct
41 Correct 100 ms 30328 KB Output is correct
42 Correct 178 ms 30456 KB Output is correct
43 Correct 210 ms 65908 KB Output is correct
44 Correct 207 ms 65784 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 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 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 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 1 ms 384 KB Output is correct
14 Correct 0 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 0 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 7 ms 512 KB Output is correct
28 Correct 3 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 4 ms 512 KB Output is correct
32 Correct 7 ms 512 KB Output is correct
33 Correct 854 ms 64504 KB Output is correct
34 Correct 451 ms 73080 KB Output is correct
35 Correct 451 ms 64420 KB Output is correct
36 Correct 574 ms 68092 KB Output is correct
37 Correct 77 ms 32636 KB Output is correct
38 Correct 68 ms 32504 KB Output is correct
39 Correct 254 ms 70392 KB Output is correct
40 Correct 235 ms 70392 KB Output is correct
41 Correct 218 ms 30584 KB Output is correct
42 Correct 233 ms 62584 KB Output is correct
43 Correct 68 ms 30200 KB Output is correct
44 Correct 227 ms 65452 KB Output is correct
45 Correct 93 ms 30328 KB Output is correct
46 Correct 188 ms 30328 KB Output is correct
47 Correct 207 ms 66040 KB Output is correct
48 Correct 217 ms 65876 KB Output is correct
49 Correct 292 ms 37100 KB Output is correct
50 Correct 201 ms 37112 KB Output is correct
51 Correct 498 ms 72312 KB Output is correct
52 Correct 379 ms 71800 KB Output is correct
53 Execution timed out 1567 ms 35592 KB Time limit exceeded
54 Halted 0 ms 0 KB -