답안 #995012

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
995012 2024-06-08T10:32:48 Z caterpillow 커다란 상품 (IOI17_prize) C++17
99.72 / 100
42 ms 1988 KB
#include "prize.h"
#include <bits/stdc++.h>

using namespace std;

using ll = long long;
using pl = pair<ll, ll>;
using pi = pair<int, int>;
#define vt vector
#define f first
#define s second
#define pb push_back
#define all(x) x.begin(), x.end() 
#define size(x) ((int) (x).size())
#define FOR(i, a, b) for (int i = (a); i < (b); i++)
#define ROF(i, a, b) for (int i = (b) - 1; i >= (a); i--)
#define F0R(i, b) FOR (i, 0, b)
#define endl '\n'
const ll INF = 1e18;
const int inf = 1e9;

template<template<typename> class Container, typename T>
ostream& operator<<(ostream& os, Container<T> o) {
	os << "{"; 
	int g = size(o); 
	for (auto i : o) os << i << ((--g) == 0 ? "" : ", "); 
	os << "}";
	return os;
}

void _print() {
	cerr << "\n";
}

template<typename T, typename ...V>
void _print(T t, V... v) {
	cerr << t; if (sizeof...(v)) cerr << ", "; _print(v...);
}

#ifdef LOCAL
#define cerr(x...) cerr << #x << " = "; _print(x);
#else
#define cerr(x...)
#define cerr if (0) std::cerr
#endif

/*

there are at most O(sqrt n) different types of prizes
constraints suggest 2 * sqrt(n) * log2(n)
we can differentiate levels of boxes based on sum of query results
there are at most sqrt non-complete-trash prizes
if we can isolate each "level" of prizes, we can work our way up to the top

consider only the worst type of prize
there are at most sqrt(n) connected components of prizes better than this
we can bsearch for these components

to find a l point, move it right while the # of better prizes to its left doesnt change
to find a r point, move it right while the # of better prizes to its right doesnt change 
take these points, and squish the new array such that we only consider these indices now

do this recursively unitl we end up with an array of length 1

*/

map<int, pi> memo;
pi _query(int i) {
	if (memo.count(i)) return memo[i];
	vt<int> res = ask(i);
	return memo[i] = {res[0], res[1]};
}

struct Array {
	vt<int> actual;
	void pb(int v) {
		actual.pb(v);
	}
	pi query(int i) {
		if (i < 0) return {0, 0};
		return _query(actual[i]);
	}
	int operator[](int i) {
		return actual[i];
	}
	int sz() {
		return size(actual);
	}
};

/*

to find a l point, move it right while the # of better prizes to its left doesnt change (so query res is equal or less than original)
take these points, and squish the new array such that we only consider these indices now

*/

void solve(Array& a, int tot) {
	vt<pi> rngs; // inc, exc
	int n = a.sz();
	int l = -1, r;
	while (l < n) {
		int lo = -1, hi = n;
		int bruh = a.query(l).f;
		if (bruh > tot) {
			solve(a, bruh);
			return;
		}
		while (hi - lo > 1) {
			int m = (lo + hi) / 2;
			auto [x, y] = a.query(m);
			if (x + y > tot) {
				solve(a, x + y);
				return;
			}
			if (m <= l || (x + y == tot && x <= bruh)) lo = m;
			else hi = m;
		}
		l = lo + 1;

		if (l == n) break; // reached end of arr
		int r = l + 1; // exc
		while (r < n) {
			auto [lhs, rhs] = a.query(r);
			if (lhs + rhs > tot) {
				solve(a, lhs + rhs);
				return;
			}
			if (lhs + rhs == tot) break;
			else r++;
		}
		rngs.pb({l, r});
		l = r;
	}
	Array narr;
	for (auto [l, r] : rngs) {
		FOR (i, l, r) {
			narr.pb(a[i]);
		}
	}
	a = narr;
}

int find_best(int _n) {
	Array arr;
	int n = _n;
	F0R (i, n) {
		arr.pb(i);
	}

	while (arr.sz() > 1) {
		solve(arr, arr.query(0).f + arr.query(0).s);
	}
	auto [l, r] = _query(arr[0]);
	assert(l + r == 0);
	return arr[0];
}

Compilation message

prize.cpp:44: warning: "cerr" redefined
   44 | #define cerr if (0) std::cerr
      | 
prize.cpp:43: note: this is the location of the previous definition
   43 | #define cerr(x...)
      | 
prize.cpp: In function 'void solve(Array&, int)':
prize.cpp:101:14: warning: unused variable 'r' [-Wunused-variable]
  101 |  int l = -1, r;
      |              ^
# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 1488 KB Output is correct
2 Correct 1 ms 1488 KB Output is correct
3 Correct 1 ms 1488 KB Output is correct
4 Correct 1 ms 1488 KB Output is correct
5 Correct 1 ms 1488 KB Output is correct
6 Correct 2 ms 1740 KB Output is correct
7 Correct 1 ms 1488 KB Output is correct
8 Correct 2 ms 1488 KB Output is correct
9 Correct 2 ms 1488 KB Output is correct
10 Correct 1 ms 1488 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 1488 KB Output is correct
2 Correct 1 ms 1568 KB Output is correct
3 Correct 2 ms 1488 KB Output is correct
4 Correct 1 ms 1500 KB Output is correct
5 Correct 1 ms 1488 KB Output is correct
6 Correct 1 ms 1488 KB Output is correct
7 Correct 2 ms 1488 KB Output is correct
8 Correct 2 ms 1488 KB Output is correct
9 Correct 1 ms 1488 KB Output is correct
10 Correct 1 ms 1488 KB Output is correct
11 Correct 3 ms 1488 KB Output is correct
12 Correct 4 ms 1488 KB Output is correct
13 Correct 5 ms 1488 KB Output is correct
14 Correct 8 ms 600 KB Output is correct
15 Correct 26 ms 1608 KB Output is correct
16 Correct 25 ms 1488 KB Output is correct
17 Correct 23 ms 1488 KB Output is correct
18 Correct 35 ms 1740 KB Output is correct
19 Correct 24 ms 1988 KB Output is correct
20 Correct 16 ms 980 KB Output is correct
21 Correct 26 ms 1668 KB Output is correct
22 Correct 16 ms 1488 KB Output is correct
23 Correct 2 ms 1740 KB Output is correct
24 Correct 3 ms 1488 KB Output is correct
25 Correct 16 ms 1488 KB Output is correct
26 Correct 24 ms 1488 KB Output is correct
27 Correct 2 ms 1488 KB Output is correct
28 Correct 18 ms 1488 KB Output is correct
29 Correct 23 ms 1488 KB Output is correct
30 Correct 33 ms 1768 KB Output is correct
31 Correct 36 ms 1488 KB Output is correct
32 Correct 3 ms 1740 KB Output is correct
33 Correct 1 ms 344 KB Output is correct
34 Correct 25 ms 1748 KB Output is correct
35 Correct 3 ms 1488 KB Output is correct
36 Correct 27 ms 1488 KB Output is correct
37 Correct 4 ms 1488 KB Output is correct
38 Correct 2 ms 1488 KB Output is correct
39 Correct 29 ms 1488 KB Output is correct
40 Correct 20 ms 1488 KB Output is correct
41 Correct 35 ms 1488 KB Output is correct
42 Correct 26 ms 1488 KB Output is correct
43 Correct 23 ms 1488 KB Output is correct
44 Correct 24 ms 1488 KB Output is correct
45 Correct 21 ms 1752 KB Output is correct
46 Correct 25 ms 1740 KB Output is correct
47 Correct 32 ms 1484 KB Output is correct
48 Correct 34 ms 1488 KB Output is correct
49 Correct 25 ms 1488 KB Output is correct
50 Correct 24 ms 1488 KB Output is correct
51 Correct 23 ms 1488 KB Output is correct
52 Correct 27 ms 1488 KB Output is correct
53 Correct 2 ms 1488 KB Output is correct
54 Correct 21 ms 1488 KB Output is correct
55 Correct 24 ms 1624 KB Output is correct
56 Correct 24 ms 1488 KB Output is correct
57 Correct 28 ms 1488 KB Output is correct
58 Correct 42 ms 1488 KB Output is correct
59 Correct 26 ms 1488 KB Output is correct
60 Correct 20 ms 1604 KB Output is correct
61 Correct 2 ms 1488 KB Output is correct
62 Correct 2 ms 1488 KB Output is correct
63 Correct 2 ms 1488 KB Output is correct
64 Correct 2 ms 1484 KB Output is correct
65 Correct 2 ms 1488 KB Output is correct
66 Correct 5 ms 1568 KB Output is correct
67 Correct 3 ms 1488 KB Output is correct
68 Correct 3 ms 1488 KB Output is correct
69 Correct 3 ms 1488 KB Output is correct
70 Correct 3 ms 1488 KB Output is correct
71 Correct 34 ms 1748 KB Output is correct
72 Correct 3 ms 1740 KB Output is correct
73 Correct 23 ms 1488 KB Output is correct
74 Correct 39 ms 1488 KB Output is correct
75 Correct 2 ms 1488 KB Output is correct
76 Correct 19 ms 1488 KB Output is correct
77 Partially correct 25 ms 1532 KB Partially correct - number of queries: 5004
78 Correct 3 ms 1488 KB Output is correct
79 Correct 9 ms 1488 KB Output is correct
80 Correct 35 ms 1964 KB Output is correct
81 Partially correct 25 ms 1584 KB Partially correct - number of queries: 5028
82 Correct 35 ms 1724 KB Output is correct
83 Correct 2 ms 1488 KB Output is correct
84 Correct 19 ms 1488 KB Output is correct
85 Correct 40 ms 1488 KB Output is correct
86 Correct 4 ms 1488 KB Output is correct
87 Correct 2 ms 1488 KB Output is correct
88 Correct 3 ms 1488 KB Output is correct
89 Correct 4 ms 1488 KB Output is correct
90 Correct 2 ms 1488 KB Output is correct
91 Correct 4 ms 1488 KB Output is correct
92 Correct 5 ms 1488 KB Output is correct
93 Correct 3 ms 1488 KB Output is correct
94 Correct 3 ms 1488 KB Output is correct
95 Correct 3 ms 1488 KB Output is correct
96 Correct 3 ms 1488 KB Output is correct
97 Correct 2 ms 1488 KB Output is correct