oj.uz

Submission #1047636

# Submission time Handle Problem Language Result Execution time Memory
1047636 2024-08-07T14:35:26 Z Tsovak Sprinklers (CEOI24_sprinklers) C++17
9 / 100
 75 ms 2408 KB 
// -------------------- Includes -------------------- //
#define _CRT_SECURE_NO_WARNINGS
#define _USE_MATH_DEFINES
#include <iostream>
#include <iomanip>
#include <cstdio>
#include <stdio.h>
#include <cstdlib>
#include <stdlib.h>
#include <array>
#include <string>
#include <cstring>
#include <algorithm>
#include <cmath>
#include <math.h>
#include <set>
#include <map>
#include <unordered_set>
#include <unordered_map>
#include <vector>
#include <stack>
#include <queue>
#include <deque>
#include <bitset>
#include <list>
#include <iterator>
#include <numeric>
#include <complex>
#include <tuple>
#include <utility>
#include <cassert>
#include <assert.h>
#include <climits>
#include <limits.h>
#include <ctime>
#include <time.h>
#include <random>
#include <chrono>
#include <fstream>
using namespace std;

// -------------------- Typedefs -------------------- //

typedef long long ll;
typedef unsigned long long ull;
typedef double db;
typedef long double ld;

// -------------------- Defines -------------------- //

#define pr pair
#define mpr make_pair
#define ff first
#define ss second

#define mset multiset
#define mmap multimap
#define uset unordered_set
#define umap unordered_map
#define umset unordered_multiset
#define ummap unordered_multimap
#define pqueue priority_queue

#define sz(x) (int((x).size()))
#define len(x) (int((x).length()))
#define all(x) (x).begin(), (x).end()
#define clr(x) (x).clear()

#define ft front
#define bk back
#define pf push_front
#define pb push_back
#define popf pop_front
#define popb pop_back

#define lb lower_bound
#define ub upper_bound
#define bs binary_search

// -------------------- Constants -------------------- //

const int MAX = int(1e9 + 5);
const ll MAXL = ll(1e18 + 5);
const ll MOD = ll(1e9 + 7);
const ll MOD2 = ll(998244353);

// -------------------- Functions -------------------- //

void fastio()
{
	ios_base::sync_with_stdio(false);
	cin.tie(0);
	cout.tie(0);
	return;
}

void precision(int x)
{
	cout << fixed << setprecision(x);
	return;
}

ll gcd0(ll a, ll b)
{
	while (b) {
		a %= b;
		swap(a, b);
	}
	return a;
}

ll lcm0(ll a, ll b)
{
	return a / gcd0(a, b) * b;
}

bool is_prime(ll a)
{
	if (a == 1) return false;
	for (ll i = 2; i * i <= a; i++) if (a % i == 0) return false;
	return true;
}

bool is_square(ll a)
{
	ll b = ll(sqrtl(ld(a)));
	return (b * b == a);
}

bool is_cube(ll a)
{
	ll b = ll(cbrtl(ld(a)));
	return (b * b * b == a);
}

int digit_sum(ll a)
{
	int sum = 0;
	while (a) {
		sum += int(a % 10);
		a /= 10;
	}
	return sum;
}

ll binpow(ll a, int b)
{
	ll ans = 1;
	while (b) {
		if (b & 1) ans *= a;
		b >>= 1;
		a *= a;
	}
	return ans;
}

ll binpow_mod(ll a, ll b, ll mod)
{
	ll ans = 1;
	while (b) {
		if (b & 1) ans = (ans * a) % mod;
		b >>= 1;
		a = (a * a) % mod;
	}
	return ans;
}

ll factorial(int a)
{
	ll ans = 1;
	for (int i = 2; i <= a; i++) ans *= ll(i);
	return ans;
}

ll factorial_mod(int a, ll mod)
{
	ll ans = 1;
	for (int i = 2; i <= a; i++) ans = (ans * ll(i)) % mod;
	return ans;
}

// -------------------- Solution -------------------- //

const int N = 100005, M = 100005;
pr<int, int> a[N];
int b[M];
bool ans[N];
int n, m;

int dp[N];
int from[N];

bool covers(int l, int r, int e) { return (l <= b[e] && b[e] <= r); }

bool check(int h)
{
	int i, j;

	for (i = 0; i <= n; i++) {
		dp[i] = 0;
		from[i] = -1;
	}

	dp[0] = 1;

	for (i = 0; i < n; i++) {
		if (dp[i + 1] < dp[i]) {
			dp[i + 1] = dp[i];
			from[i] = 0;
		}

		if (covers(a[i + 1].ff - h, a[i + 1].ff, dp[i])) {
			j = ub(b + 1, b + m + 1, a[i + 1].ff) - b;

			if (dp[i + 1] < j) {
				dp[i + 1] = j;
				from[i + 1] = 1;
			}
		}

		if (covers(a[i + 1].ff, a[i + 1].ff + h, dp[i])) {
			j = ub(b + 1, b + m + 1, a[i + 1].ff + h) - b;

			if (dp[i + 1] < j) {
				dp[i + 1] = j;
				from[i + 1] = 2;
			}
		}


		if (i + 2 <= n && a[i + 2].ff - a[i + 1].ff < h && covers(a[i + 2].ff - h, a[i + 1].ff + h, dp[i])) {
			j = ub(b + 1, b + m + 1, a[i + 1].ff + h) - b;

			if (dp[i + 2] < j) {
				dp[i + 2] = j;
				from[i + 2] = 3;
			}
		}
	}

	return (dp[n] == m + 1);
}

void solve()
{
	int i, j;

	cin >> n >> m;

	for (i = 1; i <= n; i++) {
		cin >> a[i].ff;
		a[i].ss = i;
	}
	for (i = 1; i <= m; i++) {
		cin >> b[i];

		if (i != 1 && b[i] == b[i - 1]) {
			i--;
			m--;
		}
	}

	sort(a + 1, a + n + 1);

	if (n == 1) {
		if (a[1].ff <= b[1]) cout << b[m] - a[1].ff << "\nR\n";
		else if (b[m] <= a[1].ff) cout << a[1].ff - b[1] << "\nL\n";
		else cout << "-1\n";

		return;
	}


	int l = 0, r = 1e9, mid;

	while (l < r) {
		mid = (l + r) / 2;

		if (check(mid)) r = mid;
		else l = mid + 1;
	}

	check(l);

	i = n;
	while (i) {
		if (from[i] == -1 && dp[i] == 0) assert(false);

		if (from[i] <= 1) i--;
		else if (from[i] == 2) {
			ans[i] = 1;
			i--;
		}
		else {
			ans[i - 1] = 1;
			i -= 2;
		}
	}


	cout << l << "\n";
	for (i = 1; i <= n; i++) cout << (ans[i] ? 'R' : 'L');
	cout << "\n";

	return;
}

void precalc()
{
	return;
}

int main()
{
	fastio();

	precalc();

	int tests = 1, tc;
	//cin >> tests;
	for (tc = 1; tc <= tests; tc++) {
		solve();
	}

	return 0;
}

/*
	# # # #   # # # #   # # # #   #       #    #       #     #
	   #      #         #     #    #     #    # #      #   #
	   #      # # # #   #     #     #   #    #   #     # #
	   #            #   #     #      # #    # # # #    #   #
	   #      # # # #   # # # #       #    #       #   #     #
*/

Compilation message

Main.cpp: In function 'void solve()':
Main.cpp:246:9: warning: unused variable 'j' [-Wunused-variable]
  246 |  int i, j;
      |         ^

Subtask #0
0.0 / 0.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Correct
2 Correct 0 ms 348 KB Correct

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Correct
2 Correct 5 ms 604 KB Correct
3 Correct 0 ms 348 KB Correct
4 Correct 6 ms 604 KB Correct
5 Correct 5 ms 860 KB Correct
6 Correct 0 ms 348 KB Correct
7 Correct 0 ms 348 KB Correct
8 Correct 1 ms 348 KB Correct
9 Correct 0 ms 348 KB Correct

Subtask #2
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Correct
2 Correct 6 ms 604 KB Correct
3 Correct 5 ms 648 KB Correct
4 Correct 65 ms 2408 KB Correct
5 Correct 66 ms 2344 KB Correct
6 Correct 1 ms 348 KB Correct
7 Correct 0 ms 348 KB Correct
8 Correct 46 ms 2104 KB Correct
9 Correct 42 ms 2160 KB Correct
10 Correct 38 ms 2320 KB Correct
11 Correct 15 ms 2140 KB Correct
12 Correct 35 ms 1408 KB Correct
13 Correct 75 ms 2244 KB Correct
14 Correct 73 ms 2252 KB Correct
15 Correct 60 ms 2384 KB Correct
16 Correct 69 ms 2180 KB Correct

Subtask #3
0.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Correct
2 Correct 0 ms 348 KB Correct
3 Incorrect 0 ms 344 KB User solution is incorrect
4 Halted 0 ms 0 KB -

Subtask #4
0.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Correct
2 Incorrect 24 ms 860 KB User solution is incorrect
3 Halted 0 ms 0 KB -

Subtask #5
0.0 / 47.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Correct
2 Correct 0 ms 348 KB Correct
3 Correct 5 ms 604 KB Correct
4 Correct 0 ms 348 KB Correct
5 Correct 6 ms 604 KB Correct
6 Correct 5 ms 860 KB Correct
7 Correct 0 ms 348 KB Correct
8 Correct 0 ms 348 KB Correct
9 Correct 1 ms 348 KB Correct
10 Correct 0 ms 348 KB Correct
11 Correct 6 ms 604 KB Correct
12 Correct 5 ms 648 KB Correct
13 Correct 65 ms 2408 KB Correct
14 Correct 66 ms 2344 KB Correct
15 Correct 1 ms 348 KB Correct
16 Correct 0 ms 348 KB Correct
17 Correct 46 ms 2104 KB Correct
18 Correct 42 ms 2160 KB Correct
19 Correct 38 ms 2320 KB Correct
20 Correct 15 ms 2140 KB Correct
21 Correct 35 ms 1408 KB Correct
22 Correct 75 ms 2244 KB Correct
23 Correct 73 ms 2252 KB Correct
24 Correct 60 ms 2384 KB Correct
25 Correct 69 ms 2180 KB Correct
26 Incorrect 0 ms 344 KB User solution is incorrect
27 Halted 0 ms 0 KB -