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

prize

#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;
}

Subtask #1

20.0 / 20.0

#	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

Subtask #2

76.18 / 80.0

#	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