Submission #414660

# Submission time Handle Problem Language Result Execution time Memory
414660 2021-05-31T02:13:10 Z ja_kingy Horses (IOI15_horses) C++14
100 / 100
426 ms 53340 KB
#include "horses.h"
#include <bits/stdc++.h>
using namespace std;

set<int> xge2;
const int mxN = 5e5, SZ = 1<<19, MOD = 1e9+7;
struct ST {
	int sz;
	vector<int> mul, mx;
	ST (int sz) : sz(sz), mul(2*sz, 1), mx(2*sz){}
	int qmx(int l, int r) {
		int res = 0;
		for (l += sz, r += sz; l < r; l/=2, r/=2) {
			if (l&1) res = max(res, mx[l++]);
			if (r&1) res = max(res, mx[--r]);
		}
		return res;
	}
	int qmul(int l, int r) {
		int res = 1;
		for (l += sz, r += sz; l < r; l/=2, r/=2) {
			if (l&1) res = (long long)res*mul[l++]%MOD;
			if (r&1) res = (long long)res*mul[--r]%MOD;
		}
		return res;
	}
	void umul(int x, int v) {
		x += sz;
		mul[x] = v;
		for (; x /= 2;) mul[x] = (long long)mul[x*2]*mul[x*2+1]%MOD;
	}
	void umx(int x, int v) {
		x += sz;
		mx[x] = v;
		for (; x /= 2;) mx[x] = max(mx[x*2], mx[x*2+1]);
	}
} st(SZ);
int n, x[mxN], y[mxN];
int ans() {
	long long val = 0, pos = n;
    for (auto it = xge2.end(); it != xge2.begin();) {
		it--;
		val = x[*it] * max((long long)st.qmx(*it, pos), val);
		pos = *it;
		if (val > MOD) break;
	}
	val = max(val, (long long)st.mx[1]);
	return val%MOD*st.qmul(0, pos)%MOD;
}

int init(int N, int X[], int Y[]) {
	n = N;
	for (int i = 0; i < N; ++i) {
		if (X[i] >= 2) xge2.insert(i);
		st.umul(i, X[i]);
		st.umx(i, Y[i]);
	}
	copy(X, X+N, x);
	copy(Y, Y+N, y);
	return ans();
}

int updateX(int pos, int val) {
	if (val == 1) xge2.erase(pos);
	else xge2.insert(pos);
	st.umul(pos, x[pos]=val);
	return ans();
}

int updateY(int pos, int val) {
	st.umx(pos, y[pos]=val);
	return ans();
}

Compilation message

horses.cpp: In constructor 'ST::ST(int)':
horses.cpp:10:10: warning: declaration of 'sz' shadows a member of 'ST' [-Wshadow]
   10 |  ST (int sz) : sz(sz), mul(2*sz, 1), mx(2*sz){}
      |      ~~~~^~
horses.cpp:8:6: note: shadowed declaration is here
    8 |  int sz;
      |      ^~
horses.cpp: In constructor 'ST::ST(int)':
horses.cpp:10:10: warning: declaration of 'sz' shadows a member of 'ST' [-Wshadow]
   10 |  ST (int sz) : sz(sz), mul(2*sz, 1), mx(2*sz){}
      |      ~~~~^~
horses.cpp:8:6: note: shadowed declaration is here
    8 |  int sz;
      |      ^~
horses.cpp: In constructor 'ST::ST(int)':
horses.cpp:10:10: warning: declaration of 'sz' shadows a member of 'ST' [-Wshadow]
   10 |  ST (int sz) : sz(sz), mul(2*sz, 1), mx(2*sz){}
      |      ~~~~^~
horses.cpp:8:6: note: shadowed declaration is here
    8 |  int sz;
      |      ^~
horses.cpp: In member function 'int ST::qmul(int, int)':
horses.cpp:22:42: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
   22 |    if (l&1) res = (long long)res*mul[l++]%MOD;
      |                   ~~~~~~~~~~~~~~~~~~~~~~~^~~~
horses.cpp:23:42: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
   23 |    if (r&1) res = (long long)res*mul[--r]%MOD;
      |                   ~~~~~~~~~~~~~~~~~~~~~~~^~~~
horses.cpp: In member function 'void ST::umul(int, int)':
horses.cpp:30:58: warning: conversion from 'long long int' to '__gnu_cxx::__alloc_traits<std::allocator<int>, int>::value_type' {aka 'int'} may change value [-Wconversion]
   30 |   for (; x /= 2;) mul[x] = (long long)mul[x*2]*mul[x*2+1]%MOD;
      |                            ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^~~~
horses.cpp: In function 'int ans()':
horses.cpp:43:45: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
   43 |   val = x[*it] * max((long long)st.qmx(*it, pos), val);
      |                                             ^~~
horses.cpp:48:28: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
   48 |  return val%MOD*st.qmul(0, pos)%MOD;
      |                            ^~~
horses.cpp:48:32: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
   48 |  return val%MOD*st.qmul(0, pos)%MOD;
      |         ~~~~~~~~~~~~~~~~~~~~~~~^~~~
# Verdict Execution time Memory Grader output
1 Correct 5 ms 8524 KB Output is correct
2 Correct 5 ms 8524 KB Output is correct
3 Correct 5 ms 8524 KB Output is correct
4 Correct 5 ms 8524 KB Output is correct
5 Correct 5 ms 8532 KB Output is correct
6 Correct 5 ms 8524 KB Output is correct
7 Correct 5 ms 8532 KB Output is correct
8 Correct 5 ms 8524 KB Output is correct
9 Correct 5 ms 8524 KB Output is correct
10 Correct 5 ms 8524 KB Output is correct
11 Correct 5 ms 8524 KB Output is correct
12 Correct 5 ms 8432 KB Output is correct
13 Correct 5 ms 8524 KB Output is correct
14 Correct 5 ms 8524 KB Output is correct
15 Correct 5 ms 8524 KB Output is correct
16 Correct 5 ms 8524 KB Output is correct
17 Correct 5 ms 8524 KB Output is correct
18 Correct 5 ms 8524 KB Output is correct
19 Correct 5 ms 8528 KB Output is correct
20 Correct 7 ms 8524 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 6 ms 8464 KB Output is correct
2 Correct 7 ms 8452 KB Output is correct
3 Correct 5 ms 8524 KB Output is correct
4 Correct 6 ms 8524 KB Output is correct
5 Correct 5 ms 8524 KB Output is correct
6 Correct 5 ms 8524 KB Output is correct
7 Correct 5 ms 8524 KB Output is correct
8 Correct 5 ms 8528 KB Output is correct
9 Correct 5 ms 8524 KB Output is correct
10 Correct 6 ms 8524 KB Output is correct
11 Correct 5 ms 8524 KB Output is correct
12 Correct 5 ms 8532 KB Output is correct
13 Correct 6 ms 8524 KB Output is correct
14 Correct 5 ms 8532 KB Output is correct
15 Correct 6 ms 8524 KB Output is correct
16 Correct 5 ms 8524 KB Output is correct
17 Correct 5 ms 8488 KB Output is correct
18 Correct 5 ms 8524 KB Output is correct
19 Correct 7 ms 8524 KB Output is correct
20 Correct 6 ms 8524 KB Output is correct
21 Correct 6 ms 8524 KB Output is correct
22 Correct 5 ms 8532 KB Output is correct
23 Correct 6 ms 8524 KB Output is correct
24 Correct 6 ms 8524 KB Output is correct
25 Correct 6 ms 8524 KB Output is correct
26 Correct 8 ms 8572 KB Output is correct
27 Correct 8 ms 8564 KB Output is correct
28 Correct 6 ms 8580 KB Output is correct
29 Correct 6 ms 8524 KB Output is correct
30 Correct 6 ms 8524 KB Output is correct
31 Correct 6 ms 8548 KB Output is correct
32 Correct 6 ms 8524 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 316 ms 44636 KB Output is correct
2 Correct 401 ms 53340 KB Output is correct
3 Correct 374 ms 44528 KB Output is correct
4 Correct 424 ms 48380 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 6 ms 8516 KB Output is correct
2 Correct 6 ms 8524 KB Output is correct
3 Correct 5 ms 8524 KB Output is correct
4 Correct 6 ms 8424 KB Output is correct
5 Correct 5 ms 8524 KB Output is correct
6 Correct 5 ms 8532 KB Output is correct
7 Correct 5 ms 8532 KB Output is correct
8 Correct 5 ms 8468 KB Output is correct
9 Correct 6 ms 8524 KB Output is correct
10 Correct 5 ms 8524 KB Output is correct
11 Correct 5 ms 8532 KB Output is correct
12 Correct 6 ms 8528 KB Output is correct
13 Correct 5 ms 8508 KB Output is correct
14 Correct 5 ms 8524 KB Output is correct
15 Correct 5 ms 8528 KB Output is correct
16 Correct 6 ms 8524 KB Output is correct
17 Correct 5 ms 8524 KB Output is correct
18 Correct 5 ms 8524 KB Output is correct
19 Correct 5 ms 8528 KB Output is correct
20 Correct 5 ms 8524 KB Output is correct
21 Correct 5 ms 8524 KB Output is correct
22 Correct 5 ms 8524 KB Output is correct
23 Correct 6 ms 8592 KB Output is correct
24 Correct 6 ms 8600 KB Output is correct
25 Correct 6 ms 8524 KB Output is correct
26 Correct 6 ms 8524 KB Output is correct
27 Correct 6 ms 8524 KB Output is correct
28 Correct 6 ms 8592 KB Output is correct
29 Correct 6 ms 8524 KB Output is correct
30 Correct 6 ms 8524 KB Output is correct
31 Correct 6 ms 8544 KB Output is correct
32 Correct 6 ms 8524 KB Output is correct
33 Correct 138 ms 20552 KB Output is correct
34 Correct 137 ms 20452 KB Output is correct
35 Correct 298 ms 50756 KB Output is correct
36 Correct 306 ms 50664 KB Output is correct
37 Correct 136 ms 18564 KB Output is correct
38 Correct 200 ms 31376 KB Output is correct
39 Correct 129 ms 18444 KB Output is correct
40 Correct 294 ms 45792 KB Output is correct
41 Correct 131 ms 18448 KB Output is correct
42 Correct 130 ms 18512 KB Output is correct
43 Correct 301 ms 46300 KB Output is correct
44 Correct 292 ms 46148 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 5 ms 8532 KB Output is correct
2 Correct 5 ms 8532 KB Output is correct
3 Correct 5 ms 8524 KB Output is correct
4 Correct 5 ms 8524 KB Output is correct
5 Correct 5 ms 8524 KB Output is correct
6 Correct 5 ms 8524 KB Output is correct
7 Correct 5 ms 8528 KB Output is correct
8 Correct 5 ms 8524 KB Output is correct
9 Correct 5 ms 8528 KB Output is correct
10 Correct 7 ms 8524 KB Output is correct
11 Correct 5 ms 8532 KB Output is correct
12 Correct 5 ms 8524 KB Output is correct
13 Correct 6 ms 8524 KB Output is correct
14 Correct 6 ms 8536 KB Output is correct
15 Correct 5 ms 8524 KB Output is correct
16 Correct 6 ms 8532 KB Output is correct
17 Correct 5 ms 8532 KB Output is correct
18 Correct 6 ms 8460 KB Output is correct
19 Correct 6 ms 8480 KB Output is correct
20 Correct 5 ms 8524 KB Output is correct
21 Correct 5 ms 8524 KB Output is correct
22 Correct 5 ms 8524 KB Output is correct
23 Correct 6 ms 8488 KB Output is correct
24 Correct 5 ms 8524 KB Output is correct
25 Correct 6 ms 8544 KB Output is correct
26 Correct 6 ms 8524 KB Output is correct
27 Correct 6 ms 8524 KB Output is correct
28 Correct 6 ms 8524 KB Output is correct
29 Correct 7 ms 8524 KB Output is correct
30 Correct 6 ms 8524 KB Output is correct
31 Correct 6 ms 8548 KB Output is correct
32 Correct 6 ms 8524 KB Output is correct
33 Correct 340 ms 44708 KB Output is correct
34 Correct 406 ms 53316 KB Output is correct
35 Correct 369 ms 44588 KB Output is correct
36 Correct 426 ms 48388 KB Output is correct
37 Correct 141 ms 20456 KB Output is correct
38 Correct 140 ms 20448 KB Output is correct
39 Correct 336 ms 50672 KB Output is correct
40 Correct 324 ms 50732 KB Output is correct
41 Correct 136 ms 18632 KB Output is correct
42 Correct 203 ms 31428 KB Output is correct
43 Correct 129 ms 18372 KB Output is correct
44 Correct 294 ms 45892 KB Output is correct
45 Correct 125 ms 18436 KB Output is correct
46 Correct 138 ms 18500 KB Output is correct
47 Correct 305 ms 46148 KB Output is correct
48 Correct 298 ms 46152 KB Output is correct
49 Correct 203 ms 23544 KB Output is correct
50 Correct 199 ms 23492 KB Output is correct
51 Correct 397 ms 52624 KB Output is correct
52 Correct 360 ms 52192 KB Output is correct
53 Correct 235 ms 21700 KB Output is correct
54 Correct 262 ms 35296 KB Output is correct
55 Correct 173 ms 19396 KB Output is correct
56 Correct 364 ms 47576 KB Output is correct
57 Correct 163 ms 20036 KB Output is correct
58 Correct 192 ms 20540 KB Output is correct
59 Correct 311 ms 46176 KB Output is correct