답안 #48142

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
48142 2018-05-10T09:06:24 Z cheater2k 말 (IOI15_horses) C++17
100 / 100
475 ms 159684 KB
#include "horses.h"
#include <iostream>
#include <algorithm>
#include <cmath>
using namespace std;

#define double long double
const int MAXN = 500005;
const int mod = 1e9 + 7;

int n, x[MAXN], y[MAXN];
int prodx[MAXN];
double lgx[MAXN];

int binpow(int a, int b) {
	int ret = 1;
	while(b) {
		if (b & 1) ret = 1LL * ret * a % mod; a = 1LL * a * a % mod;
		b >>= 1;
	}
	return ret;
}

int inverse(int a) {
	return binpow(a, mod - 2);
}

pair <double, int> t[MAXN << 2];
pair <double, int> lz[MAXN << 2];
#define mid ((l + r) >> 1)

void build(int v, int l, int r) {
	lz[v] = {0.0, 1};
	if (l == r) {
		t[v] = {lgx[l] + (double)log(y[l]), 1LL * prodx[l] * y[l] % mod};
		return;
	}
	build(v << 1, l, mid);
	build(v << 1 | 1, mid + 1, r);
	t[v] = max(t[v << 1], t[v << 1 | 1]);
}

void merge(pair<double, int> &p, pair<double, int> q) {
	p.first += q.first;
	p.second = 1LL * p.second * q.second % mod;
}

void push(int v, int l, int r) {
	if (lz[v].second == 1) return;
	if (l < r) merge(lz[v << 1], lz[v]), merge(lz[v << 1 | 1], lz[v]);
	t[v].first += lz[v].first; // log
	t[v].second = 1LL * t[v].second * lz[v].second % mod;
	lz[v] = {0.0, 1};
}

void upd(int v, int l, int r, int L, int R, int mul, double lg) {
	push(v, l, r);
	if (R < l || L > r) return;
	if (L <= l && r <= R) {
		lz[v] = {lg, mul}; push(v, l, r); return;
	}
	upd(v << 1, l, mid, L, R, mul, lg);
	upd(v << 1 | 1, mid + 1, r, L, R, mul, lg);
	t[v] = max(t[v << 1], t[v << 1 | 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];
	}
	prodx[0] = x[0];
	lgx[0] = log(x[0]);
	for (int i = 1; i < n; ++i) {
		prodx[i] = 1LL * prodx[i - 1] * x[i] % mod;
		lgx[i] = lgx[i - 1] + log(x[i]);
	}
	build(1, 0, n - 1);
	return t[1].second;
}

int updateX(int pos, int val) {
	int mul = 1LL * inverse(x[pos]) * val % mod;
	double lg = -log(x[pos]) + log(val);
	upd(1, 0, n - 1, pos, n - 1, mul, lg);
	x[pos] = val;
	return t[1].second;
}

int updateY(int pos, int val) {
	int mul = 1LL * inverse(y[pos]) * val % mod;
	double lg = -log(y[pos]) + log(val);
	upd(1, 0, n - 1, pos, pos, mul, lg);
	y[pos] = val;
	return t[1].second;
}

Compilation message

horses.cpp: In function 'int binpow(int, int)':
horses.cpp:18:34: warning: conversion to 'int' from 'long long int' may alter its value [-Wconversion]
   if (b & 1) ret = 1LL * ret * a % mod; a = 1LL * a * a % mod;
                    ~~~~~~~~~~~~~~^~~~~
horses.cpp:18:3: warning: this 'if' clause does not guard... [-Wmisleading-indentation]
   if (b & 1) ret = 1LL * ret * a % mod; a = 1LL * a * a % mod;
   ^~
horses.cpp:18:41: note: ...this statement, but the latter is misleadingly indented as if it were guarded by the 'if'
   if (b & 1) ret = 1LL * ret * a % mod; a = 1LL * a * a % mod;
                                         ^
horses.cpp:18:57: warning: conversion to 'int' from 'long long int' may alter its value [-Wconversion]
   if (b & 1) ret = 1LL * ret * a % mod; a = 1LL * a * a % mod;
                                             ~~~~~~~~~~~~^~~~~
horses.cpp: In function 'void merge(std::pair<long double, int>&, std::pair<long double, int>)':
horses.cpp:45:39: warning: conversion to 'int' from 'long long int' may alter its value [-Wconversion]
  p.second = 1LL * p.second * q.second % mod;
             ~~~~~~~~~~~~~~~~~~~~~~~~~~^~~~~
horses.cpp: In function 'void push(int, int, int)':
horses.cpp:52:49: warning: conversion to 'int' from 'long long int' may alter its value [-Wconversion]
  t[v].second = 1LL * t[v].second * lz[v].second % mod;
                ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^~~~~
horses.cpp: In function 'int init(int, int*, int*)':
horses.cpp:76:40: warning: conversion to 'int' from 'long long int' may alter its value [-Wconversion]
   prodx[i] = 1LL * prodx[i - 1] * x[i] % mod;
              ~~~~~~~~~~~~~~~~~~~~~~~~~~^~~~~
horses.cpp: In function 'int updateX(int, int)':
horses.cpp:84:40: warning: conversion to 'int' from 'long long int' may alter its value [-Wconversion]
  int mul = 1LL * inverse(x[pos]) * val % mod;
            ~~~~~~~~~~~~~~~~~~~~~~~~~~~~^~~~~
horses.cpp: In function 'int updateY(int, int)':
horses.cpp:92:40: warning: conversion to 'int' from 'long long int' may alter its value [-Wconversion]
  int mul = 1LL * inverse(y[pos]) * val % mod;
            ~~~~~~~~~~~~~~~~~~~~~~~~~~~~^~~~~
# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 428 KB Output is correct
4 Correct 2 ms 604 KB Output is correct
5 Correct 2 ms 660 KB Output is correct
6 Correct 2 ms 660 KB Output is correct
7 Correct 2 ms 660 KB Output is correct
8 Correct 2 ms 660 KB Output is correct
9 Correct 2 ms 660 KB Output is correct
10 Correct 2 ms 660 KB Output is correct
11 Correct 2 ms 716 KB Output is correct
12 Correct 2 ms 716 KB Output is correct
13 Correct 2 ms 716 KB Output is correct
14 Correct 2 ms 716 KB Output is correct
15 Correct 2 ms 716 KB Output is correct
16 Correct 2 ms 716 KB Output is correct
17 Correct 2 ms 716 KB Output is correct
18 Correct 2 ms 716 KB Output is correct
19 Correct 2 ms 716 KB Output is correct
20 Correct 2 ms 716 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 716 KB Output is correct
2 Correct 2 ms 716 KB Output is correct
3 Correct 2 ms 716 KB Output is correct
4 Correct 2 ms 716 KB Output is correct
5 Correct 2 ms 716 KB Output is correct
6 Correct 2 ms 716 KB Output is correct
7 Correct 2 ms 716 KB Output is correct
8 Correct 2 ms 716 KB Output is correct
9 Correct 2 ms 716 KB Output is correct
10 Correct 2 ms 716 KB Output is correct
11 Correct 2 ms 716 KB Output is correct
12 Correct 2 ms 716 KB Output is correct
13 Correct 2 ms 748 KB Output is correct
14 Correct 2 ms 748 KB Output is correct
15 Correct 2 ms 748 KB Output is correct
16 Correct 2 ms 748 KB Output is correct
17 Correct 2 ms 748 KB Output is correct
18 Correct 2 ms 748 KB Output is correct
19 Correct 2 ms 748 KB Output is correct
20 Correct 2 ms 748 KB Output is correct
21 Correct 2 ms 748 KB Output is correct
22 Correct 2 ms 748 KB Output is correct
23 Correct 3 ms 764 KB Output is correct
24 Correct 3 ms 764 KB Output is correct
25 Correct 3 ms 780 KB Output is correct
26 Correct 4 ms 836 KB Output is correct
27 Correct 4 ms 836 KB Output is correct
28 Correct 3 ms 836 KB Output is correct
29 Correct 3 ms 836 KB Output is correct
30 Correct 3 ms 836 KB Output is correct
31 Correct 3 ms 868 KB Output is correct
32 Correct 2 ms 868 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 200 ms 84908 KB Output is correct
2 Correct 442 ms 85036 KB Output is correct
3 Correct 402 ms 85068 KB Output is correct
4 Correct 432 ms 85068 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 3 ms 85068 KB Output is correct
2 Correct 2 ms 85068 KB Output is correct
3 Correct 2 ms 85068 KB Output is correct
4 Correct 2 ms 85068 KB Output is correct
5 Correct 2 ms 85068 KB Output is correct
6 Correct 2 ms 85068 KB Output is correct
7 Correct 2 ms 85068 KB Output is correct
8 Correct 2 ms 85068 KB Output is correct
9 Correct 2 ms 85068 KB Output is correct
10 Correct 2 ms 85068 KB Output is correct
11 Correct 2 ms 85068 KB Output is correct
12 Correct 2 ms 85068 KB Output is correct
13 Correct 2 ms 85068 KB Output is correct
14 Correct 2 ms 85068 KB Output is correct
15 Correct 2 ms 85068 KB Output is correct
16 Correct 2 ms 85068 KB Output is correct
17 Correct 2 ms 85068 KB Output is correct
18 Correct 2 ms 85068 KB Output is correct
19 Correct 2 ms 85068 KB Output is correct
20 Correct 2 ms 85068 KB Output is correct
21 Correct 2 ms 85068 KB Output is correct
22 Correct 2 ms 85068 KB Output is correct
23 Correct 3 ms 85068 KB Output is correct
24 Correct 3 ms 85068 KB Output is correct
25 Correct 3 ms 85068 KB Output is correct
26 Correct 3 ms 85068 KB Output is correct
27 Correct 3 ms 85068 KB Output is correct
28 Correct 3 ms 85068 KB Output is correct
29 Correct 3 ms 85068 KB Output is correct
30 Correct 3 ms 85068 KB Output is correct
31 Correct 3 ms 85068 KB Output is correct
32 Correct 3 ms 85068 KB Output is correct
33 Correct 146 ms 85068 KB Output is correct
34 Correct 140 ms 85068 KB Output is correct
35 Correct 146 ms 85068 KB Output is correct
36 Correct 162 ms 85068 KB Output is correct
37 Correct 115 ms 85068 KB Output is correct
38 Correct 128 ms 85068 KB Output is correct
39 Correct 101 ms 85068 KB Output is correct
40 Correct 130 ms 85068 KB Output is correct
41 Correct 100 ms 85068 KB Output is correct
42 Correct 96 ms 85068 KB Output is correct
43 Correct 112 ms 85068 KB Output is correct
44 Correct 112 ms 90300 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 90300 KB Output is correct
2 Correct 2 ms 90300 KB Output is correct
3 Correct 2 ms 90300 KB Output is correct
4 Correct 2 ms 90300 KB Output is correct
5 Correct 2 ms 90300 KB Output is correct
6 Correct 2 ms 90300 KB Output is correct
7 Correct 2 ms 90300 KB Output is correct
8 Correct 2 ms 90300 KB Output is correct
9 Correct 2 ms 90300 KB Output is correct
10 Correct 2 ms 90300 KB Output is correct
11 Correct 2 ms 90300 KB Output is correct
12 Correct 2 ms 90300 KB Output is correct
13 Correct 2 ms 90300 KB Output is correct
14 Correct 2 ms 90300 KB Output is correct
15 Correct 2 ms 90300 KB Output is correct
16 Correct 2 ms 90300 KB Output is correct
17 Correct 2 ms 90300 KB Output is correct
18 Correct 2 ms 90300 KB Output is correct
19 Correct 2 ms 90300 KB Output is correct
20 Correct 2 ms 90300 KB Output is correct
21 Correct 2 ms 90300 KB Output is correct
22 Correct 2 ms 90300 KB Output is correct
23 Correct 3 ms 90300 KB Output is correct
24 Correct 3 ms 90300 KB Output is correct
25 Correct 3 ms 90300 KB Output is correct
26 Correct 3 ms 90300 KB Output is correct
27 Correct 3 ms 90300 KB Output is correct
28 Correct 3 ms 90300 KB Output is correct
29 Correct 3 ms 90300 KB Output is correct
30 Correct 3 ms 90300 KB Output is correct
31 Correct 3 ms 90300 KB Output is correct
32 Correct 3 ms 90300 KB Output is correct
33 Correct 193 ms 91268 KB Output is correct
34 Correct 427 ms 91268 KB Output is correct
35 Correct 381 ms 91292 KB Output is correct
36 Correct 475 ms 91420 KB Output is correct
37 Correct 142 ms 91420 KB Output is correct
38 Correct 139 ms 91420 KB Output is correct
39 Correct 152 ms 91420 KB Output is correct
40 Correct 146 ms 91420 KB Output is correct
41 Correct 113 ms 91420 KB Output is correct
42 Correct 131 ms 91420 KB Output is correct
43 Correct 99 ms 91420 KB Output is correct
44 Correct 135 ms 91420 KB Output is correct
45 Correct 94 ms 91420 KB Output is correct
46 Correct 97 ms 91420 KB Output is correct
47 Correct 116 ms 91420 KB Output is correct
48 Correct 130 ms 96764 KB Output is correct
49 Correct 401 ms 102812 KB Output is correct
50 Correct 400 ms 107740 KB Output is correct
51 Correct 232 ms 119560 KB Output is correct
52 Correct 244 ms 131028 KB Output is correct
53 Correct 325 ms 134456 KB Output is correct
54 Correct 249 ms 138348 KB Output is correct
55 Correct 220 ms 140636 KB Output is correct
56 Correct 275 ms 148156 KB Output is correct
57 Correct 182 ms 150984 KB Output is correct
58 Correct 187 ms 154420 KB Output is correct
59 Correct 113 ms 159684 KB Output is correct