Submission #934648

# Submission time Handle Problem Language Result Execution time Memory
934648 2024-02-27T18:34:07 Z GrindMachine The Big Prize (IOI17_prize) C++17
96.18 / 100
36 ms 2268 KB
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>

using namespace std;
using namespace __gnu_pbds;

template<typename T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
typedef long long int ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;

#define fastio ios_base::sync_with_stdio(false); cin.tie(NULL)
#define pb push_back
#define endl '\n'
#define sz(a) a.size()
#define setbits(x) __builtin_popcountll(x)
#define ff first
#define ss second
#define conts continue
#define ceil2(x, y) ((x + y - 1) / (y))
#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
#define yes cout << "Yes" << endl
#define no cout << "No" << endl

#define rep(i, n) for(int i = 0; i < n; ++i)
#define rep1(i, n) for(int i = 1; i <= n; ++i)
#define rev(i, s, e) for(int i = s; i >= e; --i)
#define trav(i, a) for(auto &i : a)

template<typename T>
void amin(T &a, T b) {
    a = min(a, b);
}

template<typename T>
void amax(T &a, T b) {
    a = max(a, b);
}

#ifdef LOCAL
#include "debug.h"
#else
#define debug(x) 42
#endif

/*

refs:
edi
https://codeforces.com/blog/entry/53595?#comment-376650

f(i+1) > f(i)^2
#of non-lollipops = O(sqrt(n))

just check all non-lollipops for diamond
efficiently find all non-lollipops

*/

const int MOD = 1e9 + 7;
const int N = 2e5 + 5;
const int inf1 = int(1e9) + 5;
const ll inf2 = ll(1e18) + 5;
const int B = 455;

#include "prize.h"

vector<pii> dp(N,{-1,-1});

pii ask2(int i){
	if(dp[i].ff != -1) return dp[i];
	vector<int> v = ask(i);
	return dp[i] = {v[0],v[1]};
}

int find_best(int n) {
	int mx = -1, pos = -1;

	rep(i,485){
		auto [cl,cr] = ask2(i);
		int cnt = cl+cr;
		if(cnt == 0){
			return i;
		}

		if(cnt > mx){
			mx = cnt;
			pos = i;
		}
	}

	assert(pos != -1);

	deque<int> dq;
	for(int i = pos+B; i < n; i += B){
		dq.pb(i);
	}

	// find the closest non-lollipop with ind > i
	// given that the curr pos is a lollipop
	while(pos < n-1){
		while(!dq.empty() and dq.front() <= pos){
			dq.pop_front();
		}

		auto [fcl,fcr] = ask2(pos);
		int l = pos+1, r = n-1;

		if(!dq.empty()){
			l = dq.back()+1;
			int lo = 0, hi = sz(dq)-1;
			int ind = -1;

			while(lo <= hi){
				int mid = (lo+hi) >> 1;

				auto [cl,cr] = ask2(dq[mid]);
				int cnt = cl+cr;
				bool ok = false;

				// mid is not a lollipop
				if(cnt != mx){
					ok = true;
				}
				else{
					// mid is a lollipop
					if(cl > fcl){
						ok = true;
					}
				}

				if(ok){
					ind = mid;
					hi = mid-1;
				}
				else{
					lo = mid+1;
				}
			}

			if(ind != -1){
				if(ind){
					l = dq[ind-1]+1;
				}
				else{
					l = pos+1;
				}
				r = dq[ind];
			}
		}

		int first = -1;

		while(l <= r){
			// is there a lollipop in range [pos,mid]?
			int mid = (l+r) >> 1;
			auto [cl,cr] = ask2(mid);
			int cnt = cl+cr;
			bool ok = false;

			// mid is not a lollipop
			if(cnt != mx){
				ok = true;
			}
			else{
				// mid is a lollipop
				if(cl > fcl){
					ok = true;
				}
			}

			if(ok){
				first = mid;
				r = mid-1;
			}
			else{
				l = mid+1;
			}
		}

		if(first == -1){
			break;
		}

		pos = -1;

		// find the closest pos >= first that is a lollipop
		for(int i = first; i < n; ++i){
			auto [cl,cr] = ask2(i);
			int cnt = cl+cr;
			
			if(cnt == 0){
				return i;
			}

			if(cnt == mx){
				pos = i;
				break;
			}
		}

		if(pos == -1) break;
	}

	// assert(0);
	return -1;
}
# Verdict Execution time Memory Grader output
1 Correct 3 ms 2012 KB Output is correct
2 Correct 3 ms 2016 KB Output is correct
3 Correct 3 ms 2016 KB Output is correct
4 Correct 3 ms 2016 KB Output is correct
5 Correct 4 ms 2132 KB Output is correct
6 Correct 1 ms 1880 KB Output is correct
7 Correct 3 ms 2012 KB Output is correct
8 Correct 3 ms 2012 KB Output is correct
9 Correct 3 ms 2008 KB Output is correct
10 Correct 3 ms 2012 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 2012 KB Output is correct
2 Correct 4 ms 2012 KB Output is correct
3 Correct 3 ms 2016 KB Output is correct
4 Correct 3 ms 2020 KB Output is correct
5 Correct 3 ms 2020 KB Output is correct
6 Correct 1 ms 2136 KB Output is correct
7 Correct 3 ms 2012 KB Output is correct
8 Correct 4 ms 2008 KB Output is correct
9 Correct 3 ms 2012 KB Output is correct
10 Correct 3 ms 2020 KB Output is correct
11 Correct 5 ms 2012 KB Output is correct
12 Correct 4 ms 2016 KB Output is correct
13 Correct 5 ms 2012 KB Output is correct
14 Correct 3 ms 1880 KB Output is correct
15 Correct 6 ms 2264 KB Output is correct
16 Correct 29 ms 2012 KB Output is correct
17 Correct 3 ms 1880 KB Output is correct
18 Partially correct 20 ms 2008 KB Partially correct - number of queries: 5359
19 Correct 3 ms 1880 KB Output is correct
20 Correct 8 ms 1880 KB Output is correct
21 Correct 11 ms 2012 KB Output is correct
22 Correct 4 ms 2012 KB Output is correct
23 Correct 3 ms 2012 KB Output is correct
24 Correct 3 ms 2136 KB Output is correct
25 Correct 15 ms 2016 KB Output is correct
26 Correct 18 ms 2020 KB Output is correct
27 Correct 3 ms 2020 KB Output is correct
28 Correct 24 ms 2008 KB Output is correct
29 Correct 27 ms 2016 KB Output is correct
30 Partially correct 25 ms 2012 KB Partially correct - number of queries: 5330
31 Correct 3 ms 1880 KB Output is correct
32 Correct 4 ms 2012 KB Output is correct
33 Correct 1 ms 1880 KB Output is correct
34 Correct 8 ms 2012 KB Output is correct
35 Correct 4 ms 2020 KB Output is correct
36 Correct 8 ms 2016 KB Output is correct
37 Correct 3 ms 2016 KB Output is correct
38 Correct 4 ms 2016 KB Output is correct
39 Correct 12 ms 2004 KB Output is correct
40 Correct 21 ms 2016 KB Output is correct
41 Correct 17 ms 2012 KB Output is correct
42 Correct 15 ms 2008 KB Output is correct
43 Correct 15 ms 2008 KB Output is correct
44 Correct 10 ms 2008 KB Output is correct
45 Correct 8 ms 2016 KB Output is correct
46 Correct 3 ms 1880 KB Output is correct
47 Correct 14 ms 2144 KB Output is correct
48 Correct 21 ms 2020 KB Output is correct
49 Correct 5 ms 2024 KB Output is correct
50 Partially correct 31 ms 2016 KB Partially correct - number of queries: 5348
51 Correct 12 ms 2020 KB Output is correct
52 Correct 4 ms 2016 KB Output is correct
53 Correct 4 ms 2264 KB Output is correct
54 Correct 13 ms 2016 KB Output is correct
55 Correct 2 ms 1880 KB Output is correct
56 Partially correct 27 ms 2012 KB Partially correct - number of queries: 5369
57 Correct 23 ms 2012 KB Output is correct
58 Correct 18 ms 2012 KB Output is correct
59 Correct 17 ms 2012 KB Output is correct
60 Correct 17 ms 2132 KB Output is correct
61 Correct 4 ms 2016 KB Output is correct
62 Correct 3 ms 2016 KB Output is correct
63 Correct 3 ms 2012 KB Output is correct
64 Correct 3 ms 2016 KB Output is correct
65 Correct 3 ms 2012 KB Output is correct
66 Correct 5 ms 2016 KB Output is correct
67 Correct 2 ms 2008 KB Output is correct
68 Correct 3 ms 1880 KB Output is correct
69 Correct 4 ms 2016 KB Output is correct
70 Correct 4 ms 2016 KB Output is correct
71 Partially correct 24 ms 2020 KB Partially correct - number of queries: 5137
72 Correct 5 ms 2008 KB Output is correct
73 Partially correct 29 ms 2012 KB Partially correct - number of queries: 5081
74 Partially correct 19 ms 2020 KB Partially correct - number of queries: 5105
75 Correct 3 ms 2012 KB Output is correct
76 Correct 22 ms 2012 KB Output is correct
77 Partially correct 36 ms 2012 KB Partially correct - number of queries: 5382
78 Correct 4 ms 2016 KB Output is correct
79 Correct 15 ms 2016 KB Output is correct
80 Partially correct 24 ms 2012 KB Partially correct - number of queries: 5372
81 Partially correct 29 ms 2268 KB Partially correct - number of queries: 5382
82 Partially correct 30 ms 2012 KB Partially correct - number of queries: 5350
83 Correct 3 ms 2016 KB Output is correct
84 Correct 18 ms 2008 KB Output is correct
85 Partially correct 26 ms 2012 KB Partially correct - number of queries: 5348
86 Correct 3 ms 2016 KB Output is correct
87 Correct 3 ms 2016 KB Output is correct
88 Correct 3 ms 2016 KB Output is correct
89 Correct 3 ms 2020 KB Output is correct
90 Correct 3 ms 2012 KB Output is correct
91 Correct 3 ms 2264 KB Output is correct
92 Correct 4 ms 2016 KB Output is correct
93 Correct 5 ms 2020 KB Output is correct
94 Correct 5 ms 2016 KB Output is correct
95 Correct 4 ms 2008 KB Output is correct
96 Correct 5 ms 2016 KB Output is correct
97 Correct 3 ms 2016 KB Output is correct