oj.uz

Submission #1047670

# Submission time Handle Problem Language Result Execution time Memory
1047670 2024-08-07T14:53:24 Z Tsovak Sprinklers (CEOI24_sprinklers) C++17
9 / 100
 74 ms 2388 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 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;
int a[N], b[M];
int 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] - h, a[i + 1], dp[i])) {
			j = ub(b + 1, b + m + 1, a[i + 1]) - b;

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

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

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


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

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

	if (n == 1) {
		if (a[1] <= b[1]) cout << b[m] - a[1] << "\nR\n";
		else if (b[m] <= a[1]) cout << a[1] - 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) {
			ans[i] = -1;
			i--;
		}
		else if (from[i] == 2) {
			ans[i] = 1;
			i--;
		}
		else {
			ans[i] = -1;
			ans[i - 1] = 1;
			i -= 2;
		}
	}


	cout << l << "\n";
	for (i = 1; i <= n; i++) {
		if (ans[i] == 0) i /= a[1];

		cout << (ans[i] == -1 ? 'L' : 'R');
	}
	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:245:9: warning: unused variable 'j' [-Wunused-variable]
  245 |  int i, j;
      |         ^

Subtask #0
0.0 / 0.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 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 600 KB Correct
3 Correct 0 ms 348 KB Correct
4 Correct 5 ms 860 KB Correct
5 Correct 5 ms 676 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 348 KB Correct
2 Correct 10 ms 604 KB Correct
3 Correct 6 ms 600 KB Correct
4 Correct 62 ms 2260 KB Correct
5 Correct 65 ms 2388 KB Correct
6 Correct 0 ms 348 KB Correct
7 Correct 0 ms 348 KB Correct
8 Correct 46 ms 1992 KB Correct
9 Correct 49 ms 2016 KB Correct
10 Correct 37 ms 2388 KB Correct
11 Correct 15 ms 1880 KB Correct
12 Correct 34 ms 1268 KB Correct
13 Correct 74 ms 2092 KB Correct
14 Correct 69 ms 2132 KB Correct
15 Correct 59 ms 2132 KB Correct
16 Correct 68 ms 2132 KB Correct

Subtask #3
0.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Correct
2 Correct 0 ms 348 KB Correct
3 Incorrect 0 ms 348 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 348 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 348 KB Correct
2 Correct 0 ms 348 KB Correct
3 Correct 5 ms 600 KB Correct
4 Correct 0 ms 348 KB Correct
5 Correct 5 ms 860 KB Correct
6 Correct 5 ms 676 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 10 ms 604 KB Correct
12 Correct 6 ms 600 KB Correct
13 Correct 62 ms 2260 KB Correct
14 Correct 65 ms 2388 KB Correct
15 Correct 0 ms 348 KB Correct
16 Correct 0 ms 348 KB Correct
17 Correct 46 ms 1992 KB Correct
18 Correct 49 ms 2016 KB Correct
19 Correct 37 ms 2388 KB Correct
20 Correct 15 ms 1880 KB Correct
21 Correct 34 ms 1268 KB Correct
22 Correct 74 ms 2092 KB Correct
23 Correct 69 ms 2132 KB Correct
24 Correct 59 ms 2132 KB Correct
25 Correct 68 ms 2132 KB Correct
26 Incorrect 0 ms 348 KB User solution is incorrect
27 Halted 0 ms 0 KB -