Submission #609863

# Submission time Handle Problem Language Result Execution time Memory
609863 2022-07-28T02:18:50 Z jairRS Horses (IOI15_horses) C++17
100 / 100
579 ms 54204 KB
#include "horses.h"
#include <bits/stdc++.h>
using namespace std;
using ll = long long;

const int MAXN = 500000;
const ll MOD = 1000000000LL + 7LL;
ll gN, gX[MAXN], gY[MAXN];

struct bignum{
	ll val = 0;
	bool overMOD = false;
	bignum(ll _val){
		overMOD = _val/MOD > 0;
		val = _val % MOD;
	}

	void scale(ll x){
		bignum newBignum = bignum(val * x);
		overMOD |= newBignum.overMOD;
		val = newBignum.val;
	}

	bignum operator*(const bignum &a) const {
		bignum res(val*a.val);
		res.overMOD |= overMOD | a.overMOD;
		return res;
	}
};

struct node{
	ll soldY = 0;
	bignum XBlue = bignum(1); 
	bignum XRed = bignum(1);
};

//1-based
struct segmentTree{
	vector<node> tree;
	int treeSize, power2 = 1;
	segmentTree(int size){
		while(power2 < size)
			power2 *= 2;
		treeSize = 2*power2 - 1;
		tree = vector<node>(treeSize + 1);
	}

	node merge(const node &a, const node &b){
		if(b.soldY == 0)
			return a;

		bignum XProduct = a.XRed * b.XBlue;
		XProduct.scale(b.soldY);
		node res = a;
		if(!XProduct.overMOD && a.soldY > XProduct.val){
			res = a;
			res.XRed = a.XRed * b.XBlue * b.XRed;
		} else {
			res = b;
			res.XBlue = a.XRed * b.XBlue * a.XBlue;
		}
		return res;
	}

	//i is 1-based
	void update(int i){
		int in = i + treeSize/2;
		tree[in].soldY = gY[i - 1];
		tree[in].XBlue = gX[i - 1];
		in /= 2;

		while(in > 0){
			tree[in] = merge(tree[in*2], tree[in*2 + 1]);
			in /= 2;
		}
	}

	node query(int ql, int qr){
		return query(1, power2, ql, qr);
	}

	node query(int l, int r, int ql, int qr, int i = 1){
		if(l > qr || r < ql)
			return node();
		if(ql <= l && r <= qr)
			return tree[i];
		
		int mid = (l + r)/2;
		node q1 = query(l, mid, ql, qr, i*2);
		node q2 = query(mid + 1, r, ql, qr, i*2 + 1);
		return merge(q1, q2);
	}
};

segmentTree segTree(1);
int getAns(){
	node ans = segTree.query(1, gN);
	ans.XBlue.scale(ans.soldY);
	return ans.XBlue.val;
}

int init(int N, int X[], int Y[]) {
	gN = N;
	for (int i = 0; i < N; i++)
	{
		gX[i] = X[i];
		gY[i] = Y[i];
	}
	
	segTree = segmentTree(N);
	for (int i = 0; i < N; i++)
		segTree.update(i + 1);

	/*
	for (int i = 1; i <= 7; i++)
	{
		node cur = segTree.tree[i];
		cerr << i << ": "
			 << cur.soldY << " "
			 << cur.XBlue.val << " "
			 << cur.XRed.val << endl;
	}
	*/

	return getAns();
}

int updateX(int pos, int val) {	
	gX[pos] = val;
	segTree.update(pos + 1);
	return getAns();
}

int updateY(int pos, int val) {
	gY[pos] = val;
	segTree.update(pos + 1);
	return getAns();
}

Compilation message

horses.cpp: In function 'int getAns()':
horses.cpp:97:30: warning: conversion from 'll' {aka 'long long int'} to 'int' may change value [-Wconversion]
   97 |  node ans = segTree.query(1, gN);
      |                              ^~
horses.cpp:99:19: warning: conversion from 'll' {aka 'long long int'} to 'int' may change value [-Wconversion]
   99 |  return ans.XBlue.val;
      |         ~~~~~~~~~~^~~
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 0 ms 212 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 2 ms 340 KB Output is correct
24 Correct 2 ms 340 KB Output is correct
25 Correct 2 ms 340 KB Output is correct
26 Correct 2 ms 340 KB Output is correct
27 Correct 2 ms 340 KB Output is correct
28 Correct 2 ms 340 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 2 ms 340 KB Output is correct
31 Correct 2 ms 340 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 492 ms 53960 KB Output is correct
2 Correct 575 ms 54036 KB Output is correct
3 Correct 531 ms 54044 KB Output is correct
4 Correct 539 ms 54020 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 0 ms 212 KB Output is correct
22 Correct 0 ms 212 KB Output is correct
23 Correct 2 ms 340 KB Output is correct
24 Correct 2 ms 428 KB Output is correct
25 Correct 2 ms 340 KB Output is correct
26 Correct 2 ms 340 KB Output is correct
27 Correct 2 ms 340 KB Output is correct
28 Correct 2 ms 340 KB Output is correct
29 Correct 2 ms 340 KB Output is correct
30 Correct 2 ms 340 KB Output is correct
31 Correct 2 ms 340 KB Output is correct
32 Correct 2 ms 340 KB Output is correct
33 Correct 399 ms 53152 KB Output is correct
34 Correct 436 ms 53080 KB Output is correct
35 Correct 400 ms 53152 KB Output is correct
36 Correct 426 ms 53084 KB Output is correct
37 Correct 394 ms 53080 KB Output is correct
38 Correct 393 ms 53124 KB Output is correct
39 Correct 395 ms 53088 KB Output is correct
40 Correct 392 ms 53080 KB Output is correct
41 Correct 377 ms 53068 KB Output is correct
42 Correct 385 ms 53080 KB Output is correct
43 Correct 401 ms 53088 KB Output is correct
44 Correct 376 ms 53108 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 0 ms 212 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 2 ms 340 KB Output is correct
24 Correct 2 ms 340 KB Output is correct
25 Correct 2 ms 340 KB Output is correct
26 Correct 3 ms 340 KB Output is correct
27 Correct 2 ms 340 KB Output is correct
28 Correct 2 ms 428 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 1 ms 340 KB Output is correct
31 Correct 2 ms 340 KB Output is correct
32 Correct 2 ms 340 KB Output is correct
33 Correct 502 ms 54004 KB Output is correct
34 Correct 570 ms 53992 KB Output is correct
35 Correct 536 ms 53964 KB Output is correct
36 Correct 548 ms 53996 KB Output is correct
37 Correct 417 ms 53084 KB Output is correct
38 Correct 400 ms 53084 KB Output is correct
39 Correct 425 ms 53088 KB Output is correct
40 Correct 422 ms 53076 KB Output is correct
41 Correct 401 ms 53080 KB Output is correct
42 Correct 401 ms 53080 KB Output is correct
43 Correct 391 ms 53088 KB Output is correct
44 Correct 400 ms 53080 KB Output is correct
45 Correct 392 ms 53084 KB Output is correct
46 Correct 396 ms 53096 KB Output is correct
47 Correct 393 ms 53088 KB Output is correct
48 Correct 383 ms 53084 KB Output is correct
49 Correct 579 ms 54048 KB Output is correct
50 Correct 562 ms 54060 KB Output is correct
51 Correct 533 ms 54004 KB Output is correct
52 Correct 529 ms 54084 KB Output is correct
53 Correct 547 ms 54008 KB Output is correct
54 Correct 523 ms 53864 KB Output is correct
55 Correct 509 ms 53276 KB Output is correct
56 Correct 513 ms 53996 KB Output is correct
57 Correct 504 ms 54016 KB Output is correct
58 Correct 496 ms 54204 KB Output is correct
59 Correct 388 ms 53080 KB Output is correct