oj.uz

Submission #54728

# Submission time Handle Problem Language Result Execution time Memory
54728 2018-07-04T19:15:11 Z aome Horses (IOI15_horses) C++17
100 / 100
 417 ms 70736 KB 
#include "horses.h"
 
#include <bits/stdc++.h>
 
using namespace std;
 
const int N = 500005;
const int mod = 1e9 + 7;
 
#define double long double

int n;
int x[N], y[N];
double val[N];
 
struct SegmentTree {
	struct Node {
		int pos;
		double val, lazy; 
	};
 
	Node T1[4 * N];
	int T2[4 * N];
 
	#define mid ((l + r) >> 1)
 
	Node merge(Node &x, Node &y) {
		Node z;
		z.lazy = 0;
		if (x.val > y.val) {
			z.pos = x.pos, z.val = x.val; 
		}
		else {
			z.pos = y.pos, z.val = y.val;
		}
		return z;
	}
 
	void build(int i, int l, int r) {
		T1[i].lazy = 0;
		if (l == r) {
			T1[i].pos = l, T2[i] = x[l];
			T1[i].val = val[l];
			return;
		}
		build(i << 1, l, mid);
		build(i << 1 | 1, mid + 1, r);
		T1[i] = merge(T1[i << 1], T1[i << 1 | 1]);
		T2[i] = 1LL * T2[i << 1] * T2[i << 1 | 1] % mod;
	}
 
	void push(int i, int l, int r) {
		T1[i].val += T1[i].lazy;
		if (l != r) {
			T1[i << 1].lazy += T1[i].lazy;
			T1[i << 1 | 1].lazy += T1[i].lazy;
		}
		T1[i].lazy = 0;
	}
 
	void updX(int i, int l, int r, int L, int R, double v) {
		push(i, l, r);
		if (L > r || l > R) return;
		if (L <= l && r <= R) {
			T1[i].lazy = v, push(i, l, r); return;
		}
		updX(i << 1, l, mid, L, R, v);
		updX(i << 1 | 1, mid + 1, r, L, R, v);
		T1[i] = merge(T1[i << 1], T1[i << 1 | 1]);
	}
 
	void updY(int i, int l, int r, int p, int v) {
		push(i, l, r);
		if (p > r || p < l) return;
		if (l == r) {
			T1[i].val += log(v) - log(y[p]), y[p] = v;
			return;
		}
		updY(i << 1, l, mid, p, v);
		updY(i << 1 | 1, mid + 1, r, p, v);
		T1[i] = merge(T1[i << 1], T1[i << 1 | 1]);
	}
 
	void updPrd(int i, int l, int r, int p, int v) {
		if (l == r) {
			T2[i] = x[p] = v; return; 
		}
		if (mid >= p) updPrd(i << 1, l, mid, p, v);
		else updPrd(i << 1 | 1, mid + 1, r, p, v);
		T2[i] = 1LL * T2[i << 1] * T2[i << 1 | 1] % mod;
	}
 
	int getPrd(int i, int l, int r, int L, int R) {
		if (l > R || L > r) return 1;
		if (L <= l && r <= R) return T2[i];
		return 1LL * getPrd(i << 1, l, mid, L, R) * getPrd(i << 1 | 1, mid + 1, r, L, R) % mod;
	}
 
	#undef mid
 
} IT;
 
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];
	}
	val[0] = log(x[0]);
	for (int i = 1; i < n; ++i) {
		val[i] = val[i - 1] + log(x[i]);
	}
	for (int i = 0; i < n; ++i) {
		val[i] += log(y[i]);
	}
	IT.build(1, 0, n - 1);
	int opt = IT.T1[1].pos;
	return 1LL * IT.getPrd(1, 0, n - 1, 0, opt) * y[opt] % mod;
}
 
int updateX(int pos, int val) {
	IT.updX(1, 0, n - 1, pos, n - 1, log(val) - log(x[pos]));
	IT.updPrd(1, 0, n - 1, pos, val);
	int opt = IT.T1[1].pos;
	return 1LL * IT.getPrd(1, 0, n - 1, 0, opt) * y[opt] % mod;
}
 
int updateY(int pos, int val) {
	IT.updY(1, 0, n - 1, pos, val);
	int opt = IT.T1[1].pos;
	return 1LL * IT.getPrd(1, 0, n - 1, 0, opt) * y[opt] % mod;
}

Compilation message

horses.cpp: In member function 'SegmentTree::Node SegmentTree::merge(SegmentTree::Node&, SegmentTree::Node&)':
horses.cpp:27:31: warning: declaration of 'y' shadows a global declaration [-Wshadow]
  Node merge(Node &x, Node &y) {
                               ^
horses.cpp:13:11: note: shadowed declaration is here
 int x[N], y[N];
           ^
horses.cpp:27:31: warning: declaration of 'x' shadows a global declaration [-Wshadow]
  Node merge(Node &x, Node &y) {
                               ^
horses.cpp:13:5: note: shadowed declaration is here
 int x[N], y[N];
     ^
horses.cpp: In member function 'void SegmentTree::build(int, int, int)':
horses.cpp:49:45: warning: conversion to 'int' from 'long long int' may alter its value [-Wconversion]
   T2[i] = 1LL * T2[i << 1] * T2[i << 1 | 1] % mod;
           ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^~~~~
horses.cpp: In member function 'void SegmentTree::updPrd(int, int, int, int, int)':
horses.cpp:90:45: warning: conversion to 'int' from 'long long int' may alter its value [-Wconversion]
   T2[i] = 1LL * T2[i << 1] * T2[i << 1 | 1] % mod;
           ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^~~~~
horses.cpp: In member function 'int SegmentTree::getPrd(int, int, int, int, int)':
horses.cpp:96:84: warning: conversion to 'int' from 'long long int' may alter its value [-Wconversion]
   return 1LL * getPrd(i << 1, l, mid, L, R) * getPrd(i << 1 | 1, mid + 1, r, L, R) % mod;
          ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^~~~~
horses.cpp: In function 'int init(int, int*, int*)':
horses.cpp:117:55: warning: conversion to 'int' from 'long long int' may alter its value [-Wconversion]
  return 1LL * IT.getPrd(1, 0, n - 1, 0, opt) * y[opt] % mod;
         ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^~~~~
horses.cpp: In function 'int updateX(int, int)':
horses.cpp:120:29: warning: declaration of 'val' shadows a global declaration [-Wshadow]
 int updateX(int pos, int val) {
                             ^
horses.cpp:14:8: note: shadowed declaration is here
 double val[N];
        ^~~
horses.cpp:124:55: warning: conversion to 'int' from 'long long int' may alter its value [-Wconversion]
  return 1LL * IT.getPrd(1, 0, n - 1, 0, opt) * y[opt] % mod;
         ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^~~~~
horses.cpp: In function 'int updateY(int, int)':
horses.cpp:127:29: warning: declaration of 'val' shadows a global declaration [-Wshadow]
 int updateY(int pos, int val) {
                             ^
horses.cpp:14:8: note: shadowed declaration is here
 double val[N];
        ^~~
horses.cpp:130:55: warning: conversion to 'int' from 'long long int' may alter its value [-Wconversion]
  return 1LL * IT.getPrd(1, 0, n - 1, 0, opt) * y[opt] % mod;
         ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^~~~~

Subtask #1
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 380 KB Output is correct
2 Correct 3 ms 484 KB Output is correct
3 Correct 2 ms 484 KB Output is correct
4 Correct 2 ms 484 KB Output is correct
5 Correct 2 ms 484 KB Output is correct
6 Correct 2 ms 624 KB Output is correct
7 Correct 2 ms 624 KB Output is correct
8 Correct 2 ms 624 KB Output is correct
9 Correct 2 ms 624 KB Output is correct
10 Correct 2 ms 624 KB Output is correct
11 Correct 2 ms 624 KB Output is correct
12 Correct 2 ms 624 KB Output is correct
13 Correct 2 ms 624 KB Output is correct
14 Correct 2 ms 624 KB Output is correct
15 Correct 2 ms 624 KB Output is correct
16 Correct 2 ms 624 KB Output is correct
17 Correct 2 ms 624 KB Output is correct
18 Correct 2 ms 624 KB Output is correct
19 Correct 2 ms 624 KB Output is correct
20 Correct 2 ms 624 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 624 KB Output is correct
2 Correct 2 ms 636 KB Output is correct
3 Correct 2 ms 636 KB Output is correct
4 Correct 2 ms 636 KB Output is correct
5 Correct 2 ms 636 KB Output is correct
6 Correct 2 ms 636 KB Output is correct
7 Correct 2 ms 640 KB Output is correct
8 Correct 2 ms 640 KB Output is correct
9 Correct 2 ms 640 KB Output is correct
10 Correct 2 ms 640 KB Output is correct
11 Correct 2 ms 640 KB Output is correct
12 Correct 2 ms 640 KB Output is correct
13 Correct 2 ms 640 KB Output is correct
14 Correct 2 ms 640 KB Output is correct
15 Correct 3 ms 640 KB Output is correct
16 Correct 2 ms 640 KB Output is correct
17 Correct 2 ms 640 KB Output is correct
18 Correct 2 ms 640 KB Output is correct
19 Correct 2 ms 640 KB Output is correct
20 Correct 3 ms 640 KB Output is correct
21 Correct 3 ms 640 KB Output is correct
22 Correct 2 ms 640 KB Output is correct
23 Correct 3 ms 732 KB Output is correct
24 Correct 3 ms 764 KB Output is correct
25 Correct 3 ms 780 KB Output is correct
26 Correct 3 ms 796 KB Output is correct
27 Correct 3 ms 796 KB Output is correct
28 Correct 3 ms 812 KB Output is correct
29 Correct 3 ms 812 KB Output is correct
30 Correct 3 ms 856 KB Output is correct
31 Correct 3 ms 856 KB Output is correct
32 Correct 3 ms 856 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 198 ms 70560 KB Output is correct
2 Correct 343 ms 70704 KB Output is correct
3 Correct 304 ms 70716 KB Output is correct
4 Correct 375 ms 70716 KB Output is correct

Subtask #4
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 70716 KB Output is correct
2 Correct 2 ms 70716 KB Output is correct
3 Correct 2 ms 70716 KB Output is correct
4 Correct 2 ms 70716 KB Output is correct
5 Correct 2 ms 70716 KB Output is correct
6 Correct 2 ms 70716 KB Output is correct
7 Correct 2 ms 70716 KB Output is correct
8 Correct 2 ms 70716 KB Output is correct
9 Correct 2 ms 70716 KB Output is correct
10 Correct 2 ms 70716 KB Output is correct
11 Correct 2 ms 70716 KB Output is correct
12 Correct 2 ms 70716 KB Output is correct
13 Correct 2 ms 70716 KB Output is correct
14 Correct 2 ms 70716 KB Output is correct
15 Correct 2 ms 70716 KB Output is correct
16 Correct 2 ms 70716 KB Output is correct
17 Correct 3 ms 70716 KB Output is correct
18 Correct 3 ms 70716 KB Output is correct
19 Correct 2 ms 70716 KB Output is correct
20 Correct 2 ms 70716 KB Output is correct
21 Correct 2 ms 70716 KB Output is correct
22 Correct 3 ms 70716 KB Output is correct
23 Correct 3 ms 70716 KB Output is correct
24 Correct 3 ms 70716 KB Output is correct
25 Correct 3 ms 70716 KB Output is correct
26 Correct 4 ms 70716 KB Output is correct
27 Correct 3 ms 70716 KB Output is correct
28 Correct 3 ms 70716 KB Output is correct
29 Correct 3 ms 70716 KB Output is correct
30 Correct 3 ms 70716 KB Output is correct
31 Correct 3 ms 70716 KB Output is correct
32 Correct 3 ms 70716 KB Output is correct
33 Correct 122 ms 70716 KB Output is correct
34 Correct 126 ms 70716 KB Output is correct
35 Correct 137 ms 70716 KB Output is correct
36 Correct 137 ms 70716 KB Output is correct
37 Correct 94 ms 70716 KB Output is correct
38 Correct 121 ms 70716 KB Output is correct
39 Correct 87 ms 70716 KB Output is correct
40 Correct 126 ms 70716 KB Output is correct
41 Correct 84 ms 70716 KB Output is correct
42 Correct 122 ms 70716 KB Output is correct
43 Correct 99 ms 70716 KB Output is correct
44 Correct 101 ms 70716 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 70716 KB Output is correct
2 Correct 2 ms 70716 KB Output is correct
3 Correct 2 ms 70716 KB Output is correct
4 Correct 2 ms 70716 KB Output is correct
5 Correct 2 ms 70716 KB Output is correct
6 Correct 2 ms 70716 KB Output is correct
7 Correct 2 ms 70716 KB Output is correct
8 Correct 2 ms 70716 KB Output is correct
9 Correct 2 ms 70716 KB Output is correct
10 Correct 2 ms 70716 KB Output is correct
11 Correct 2 ms 70716 KB Output is correct
12 Correct 2 ms 70716 KB Output is correct
13 Correct 2 ms 70716 KB Output is correct
14 Correct 2 ms 70716 KB Output is correct
15 Correct 2 ms 70716 KB Output is correct
16 Correct 2 ms 70716 KB Output is correct
17 Correct 2 ms 70716 KB Output is correct
18 Correct 2 ms 70716 KB Output is correct
19 Correct 2 ms 70716 KB Output is correct
20 Correct 2 ms 70716 KB Output is correct
21 Correct 2 ms 70716 KB Output is correct
22 Correct 2 ms 70716 KB Output is correct
23 Correct 3 ms 70716 KB Output is correct
24 Correct 3 ms 70716 KB Output is correct
25 Correct 3 ms 70716 KB Output is correct
26 Correct 3 ms 70716 KB Output is correct
27 Correct 3 ms 70716 KB Output is correct
28 Correct 3 ms 70716 KB Output is correct
29 Correct 3 ms 70716 KB Output is correct
30 Correct 3 ms 70716 KB Output is correct
31 Correct 3 ms 70716 KB Output is correct
32 Correct 2 ms 70716 KB Output is correct
33 Correct 200 ms 70716 KB Output is correct
34 Correct 342 ms 70716 KB Output is correct
35 Correct 297 ms 70716 KB Output is correct
36 Correct 417 ms 70716 KB Output is correct
37 Correct 120 ms 70716 KB Output is correct
38 Correct 120 ms 70716 KB Output is correct
39 Correct 141 ms 70716 KB Output is correct
40 Correct 139 ms 70716 KB Output is correct
41 Correct 104 ms 70716 KB Output is correct
42 Correct 120 ms 70716 KB Output is correct
43 Correct 87 ms 70716 KB Output is correct
44 Correct 130 ms 70716 KB Output is correct
45 Correct 86 ms 70716 KB Output is correct
46 Correct 97 ms 70716 KB Output is correct
47 Correct 109 ms 70716 KB Output is correct
48 Correct 104 ms 70716 KB Output is correct
49 Correct 344 ms 70716 KB Output is correct
50 Correct 313 ms 70716 KB Output is correct
51 Correct 253 ms 70716 KB Output is correct
52 Correct 257 ms 70716 KB Output is correct
53 Correct 307 ms 70716 KB Output is correct
54 Correct 265 ms 70716 KB Output is correct
55 Correct 194 ms 70716 KB Output is correct
56 Correct 265 ms 70736 KB Output is correct
57 Correct 183 ms 70736 KB Output is correct
58 Correct 202 ms 70736 KB Output is correct
59 Correct 99 ms 70736 KB Output is correct