Submission #288305

# Submission time Handle Problem Language Result Execution time Memory
288305 2020-09-01T11:57:56 Z shayan_p Horses (IOI15_horses) C++17
100 / 100
1035 ms 53436 KB
#include<bits/stdc++.h>
#include "horses.h"

#define F first
#define S second
#define PB push_back
#define sz(s) (int(s.size()))
#define bit(n, k) (((n)>>(k))&1)

using namespace std;

typedef long long ll;
typedef pair<int, int> pii;
typedef long double ld;

const int maxn = 5e5 + 10, mod = 1e9 + 7;

set<int> st; // reverse points
int n;
int val[4 * maxn], zr[4 * maxn];

void add(int pos, int x, int l = 0, int r = n, int id = 1){
    if(r-l == 1){
	val[id] = x;
	return;
    }
    int mid = (l+r) >> 1;
    if(pos < mid)
	add(pos, x, l, mid, 2*id);
    else
	add(pos, x, mid, r, 2*id+1);
    val[id] = max(val[2*id], val[2*id+1]);
}
int ask(int f, int s, int l = 0, int r = n, int id = 1){
    if(f >= s || l >= r || s <= l || r <= f)
	return 0;
    if(f <= l && r <= s)
	return val[id];
    int mid = (l+r) >> 1;
    return max(ask(f, s, l, mid, 2*id), ask(f, s, mid, r, 2*id+1));
}
void put(int pos, int x, int l = 0, int r = n, int id = 1){
    if(r-l == 1){
	zr[id] = x;
	return;
    }
    int mid = (l+r) >> 1;
    if(pos < mid)
	put(pos, x, l, mid, 2*id);
    else
	put(pos, x, mid, r, 2*id+1);
    zr[id] = 1ll * zr[2*id] * zr[2*id+1] % mod;
}
int zar(int pos, int l = 0, int r = n, int id = 1){
    if(pos <= l)
	return 1;
    if(r <= pos)
	return zr[id];
    int mid = (l + r) >> 1;
    return 1ll * zar(pos, l, mid, 2*id) * zar(pos, mid, r, 2*id+1) % mod;
}

int a[maxn], b[maxn];

int calc(){
    int bst = 0, lst = n;
    bool gr = 0;
    for(int x : st){
	x*=-1;
	bst = max(bst, ask(x, lst));
	lst = x;
	ll num = 1ll * a[x] * bst;
	bst = num % mod;
	if(num >= mod){
	    gr = 1;
	    break;
	}
    }
    if(!gr)
	return max(bst, ask(0, lst));
    else
	return 1ll * bst * zar(lst) % mod;
}
int init(int n, int X[], int Y[]){
    ::n = n;
    for(int i = 0; i < n; i++){
	a[i] = X[i], b[i] = Y[i];
	if(a[i] != 1)
	    st.insert(-i);
	put(i, a[i]), add(i, b[i]);
    }
    return calc();
}
int updateX(int pos, int val){
    if(val == 1)
	st.erase(-pos);
    else
	st.insert(-pos);
    a[pos] = val;
    put(pos, val);
    return calc();
}
int updateY(int pos, int val){
    b[pos] = val;
    add(pos, val);
    return calc();
}

Compilation message

horses.cpp: In function 'void put(int, int, int, int, int)':
horses.cpp:52:42: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
   52 |     zr[id] = 1ll * zr[2*id] * zr[2*id+1] % mod;
      |              ~~~~~~~~~~~~~~~~~~~~~~~~~~~~^~~~~
horses.cpp: In function 'int zar(int, int, int, int)':
horses.cpp:60:68: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
   60 |     return 1ll * zar(pos, l, mid, 2*id) * zar(pos, mid, r, 2*id+1) % mod;
      |            ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^~~~~
horses.cpp: In function 'int calc()':
horses.cpp:73:12: warning: conversion from 'll' {aka 'long long int'} to 'int' may change value [-Wconversion]
   73 |  bst = num % mod;
      |        ~~~~^~~~~
horses.cpp:82:30: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
   82 |  return 1ll * bst * zar(lst) % mod;
      |         ~~~~~~~~~~~~~~~~~~~~~^~~~~
horses.cpp: In function 'int init(int, int*, int*)':
horses.cpp:84:33: warning: declaration of 'n' shadows a global declaration [-Wshadow]
   84 | int init(int n, int X[], int Y[]){
      |                                 ^
horses.cpp:19:5: note: shadowed declaration is here
   19 | int n;
      |     ^
horses.cpp: In function 'int updateX(int, int)':
horses.cpp:94:29: warning: declaration of 'val' shadows a global declaration [-Wshadow]
   94 | int updateX(int pos, int val){
      |                             ^
horses.cpp:20:5: note: shadowed declaration is here
   20 | int val[4 * maxn], zr[4 * maxn];
      |     ^~~
horses.cpp: In function 'int updateY(int, int)':
horses.cpp:103:29: warning: declaration of 'val' shadows a global declaration [-Wshadow]
  103 | int updateY(int pos, int val){
      |                             ^
horses.cpp:20:5: note: shadowed declaration is here
   20 | int val[4 * maxn], zr[4 * maxn];
      |     ^~~
# 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 0 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 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 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 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
# 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 0 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 0 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 0 ms 384 KB Output is correct
13 Correct 0 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 1 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 0 ms 384 KB Output is correct
21 Correct 0 ms 384 KB Output is correct
22 Correct 0 ms 384 KB Output is correct
23 Correct 1 ms 384 KB Output is correct
24 Correct 1 ms 384 KB Output is correct
25 Correct 2 ms 384 KB Output is correct
26 Correct 1 ms 384 KB Output is correct
27 Correct 4 ms 384 KB Output is correct
28 Correct 2 ms 384 KB Output is correct
29 Correct 1 ms 384 KB Output is correct
30 Correct 1 ms 384 KB Output is correct
31 Correct 4 ms 384 KB Output is correct
32 Correct 4 ms 512 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 896 ms 41080 KB Output is correct
2 Correct 562 ms 40912 KB Output is correct
3 Correct 591 ms 40868 KB Output is correct
4 Correct 581 ms 40824 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 384 KB Output is correct
2 Correct 1 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 0 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 0 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 1 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 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 1 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 0 ms 384 KB Output is correct
21 Correct 1 ms 384 KB Output is correct
22 Correct 0 ms 384 KB Output is correct
23 Correct 1 ms 384 KB Output is correct
24 Correct 1 ms 384 KB Output is correct
25 Correct 2 ms 384 KB Output is correct
26 Correct 2 ms 384 KB Output is correct
27 Correct 4 ms 384 KB Output is correct
28 Correct 2 ms 384 KB Output is correct
29 Correct 1 ms 384 KB Output is correct
30 Correct 2 ms 384 KB Output is correct
31 Correct 5 ms 512 KB Output is correct
32 Correct 5 ms 384 KB Output is correct
33 Correct 226 ms 16604 KB Output is correct
34 Correct 228 ms 20472 KB Output is correct
35 Correct 392 ms 42360 KB Output is correct
36 Correct 387 ms 42340 KB Output is correct
37 Correct 319 ms 18748 KB Output is correct
38 Correct 304 ms 31480 KB Output is correct
39 Correct 217 ms 18428 KB Output is correct
40 Correct 371 ms 45124 KB Output is correct
41 Correct 249 ms 18552 KB Output is correct
42 Correct 271 ms 18552 KB Output is correct
43 Correct 385 ms 44996 KB Output is correct
44 Correct 370 ms 44848 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 512 KB Output is correct
5 Correct 0 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 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 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 1 ms 360 KB Output is correct
20 Correct 0 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 1 ms 384 KB Output is correct
24 Correct 2 ms 384 KB Output is correct
25 Correct 2 ms 384 KB Output is correct
26 Correct 1 ms 384 KB Output is correct
27 Correct 4 ms 384 KB Output is correct
28 Correct 2 ms 384 KB Output is correct
29 Correct 1 ms 384 KB Output is correct
30 Correct 2 ms 384 KB Output is correct
31 Correct 3 ms 384 KB Output is correct
32 Correct 4 ms 384 KB Output is correct
33 Correct 929 ms 42476 KB Output is correct
34 Correct 550 ms 53436 KB Output is correct
35 Correct 595 ms 44580 KB Output is correct
36 Correct 583 ms 48436 KB Output is correct
37 Correct 232 ms 20600 KB Output is correct
38 Correct 234 ms 20600 KB Output is correct
39 Correct 403 ms 51064 KB Output is correct
40 Correct 403 ms 50724 KB Output is correct
41 Correct 302 ms 18744 KB Output is correct
42 Correct 303 ms 31584 KB Output is correct
43 Correct 222 ms 18424 KB Output is correct
44 Correct 381 ms 45924 KB Output is correct
45 Correct 258 ms 18552 KB Output is correct
46 Correct 273 ms 18552 KB Output is correct
47 Correct 380 ms 46216 KB Output is correct
48 Correct 366 ms 46300 KB Output is correct
49 Correct 370 ms 23496 KB Output is correct
50 Correct 334 ms 23484 KB Output is correct
51 Correct 582 ms 52728 KB Output is correct
52 Correct 478 ms 52220 KB Output is correct
53 Correct 1035 ms 21860 KB Output is correct
54 Correct 471 ms 35576 KB Output is correct
55 Correct 334 ms 19576 KB Output is correct
56 Correct 482 ms 47696 KB Output is correct
57 Correct 630 ms 20216 KB Output is correct
58 Correct 878 ms 20728 KB Output is correct
59 Correct 383 ms 46336 KB Output is correct