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Submission #1047681

# Submission time Handle Problem Language Result Execution time Memory
1047681 2024-08-07T14:59:19 Z Tsovak Sprinklers (CEOI24_sprinklers) C++17
100 / 100
 119 ms 2156 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];
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 + 1] = 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) 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: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 344 KB Correct
2 Correct 0 ms 344 KB Correct

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 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 600 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 8 ms 604 KB Correct
3 Correct 5 ms 604 KB Correct
4 Correct 62 ms 2004 KB Correct
5 Correct 68 ms 2000 KB Correct
6 Correct 0 ms 348 KB Correct
7 Correct 0 ms 348 KB Correct
8 Correct 46 ms 1768 KB Correct
9 Correct 43 ms 1628 KB Correct
10 Correct 38 ms 1880 KB Correct
11 Correct 15 ms 1624 KB Correct
12 Correct 31 ms 1116 KB Correct
13 Correct 74 ms 1832 KB Correct
14 Correct 70 ms 1880 KB Correct
15 Correct 60 ms 1884 KB Correct
16 Correct 67 ms 1872 KB Correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Correct
2 Correct 0 ms 344 KB Correct
3 Correct 0 ms 348 KB Correct
4 Correct 0 ms 348 KB Correct
5 Correct 0 ms 348 KB Correct
6 Correct 1 ms 348 KB Correct
7 Correct 0 ms 348 KB Correct
8 Correct 0 ms 348 KB Correct
9 Correct 0 ms 348 KB Correct
10 Correct 0 ms 348 KB Correct
11 Correct 0 ms 348 KB Correct
12 Correct 0 ms 348 KB Correct
13 Correct 1 ms 348 KB Correct
14 Correct 0 ms 348 KB Correct
15 Correct 0 ms 348 KB Correct
16 Correct 0 ms 360 KB Correct
17 Correct 0 ms 348 KB Correct
18 Correct 0 ms 344 KB Correct
19 Correct 0 ms 348 KB Correct
20 Correct 0 ms 344 KB Correct

Subtask #4
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Correct
2 Correct 26 ms 604 KB Correct
3 Correct 100 ms 2128 KB Correct
4 Correct 111 ms 2004 KB Correct
5 Correct 105 ms 1988 KB Correct
6 Correct 99 ms 2132 KB Correct
7 Correct 118 ms 1980 KB Correct
8 Correct 107 ms 2132 KB Correct
9 Correct 106 ms 2128 KB Correct
10 Correct 115 ms 2128 KB Correct
11 Correct 115 ms 1980 KB Correct
12 Correct 0 ms 344 KB Correct
13 Correct 0 ms 348 KB Correct
14 Correct 16 ms 1624 KB Correct
15 Correct 17 ms 1640 KB Correct
16 Correct 17 ms 1624 KB Correct
17 Correct 38 ms 1628 KB Correct
18 Correct 45 ms 1628 KB Correct
19 Correct 61 ms 1624 KB Correct
20 Correct 111 ms 1984 KB Correct
21 Correct 110 ms 2128 KB Correct
22 Correct 113 ms 2132 KB Correct
23 Correct 114 ms 1964 KB Correct
24 Correct 108 ms 1852 KB Correct
25 Correct 102 ms 1868 KB Correct
26 Correct 32 ms 1368 KB Correct
27 Correct 37 ms 1104 KB Correct
28 Correct 96 ms 1872 KB Correct
29 Correct 90 ms 1808 KB Correct
30 Correct 94 ms 1872 KB Correct
31 Correct 112 ms 1776 KB Correct

Subtask #5
47.0 / 47.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Correct
2 Correct 0 ms 344 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 600 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 8 ms 604 KB Correct
12 Correct 5 ms 604 KB Correct
13 Correct 62 ms 2004 KB Correct
14 Correct 68 ms 2000 KB Correct
15 Correct 0 ms 348 KB Correct
16 Correct 0 ms 348 KB Correct
17 Correct 46 ms 1768 KB Correct
18 Correct 43 ms 1628 KB Correct
19 Correct 38 ms 1880 KB Correct
20 Correct 15 ms 1624 KB Correct
21 Correct 31 ms 1116 KB Correct
22 Correct 74 ms 1832 KB Correct
23 Correct 70 ms 1880 KB Correct
24 Correct 60 ms 1884 KB Correct
25 Correct 67 ms 1872 KB Correct
26 Correct 0 ms 348 KB Correct
27 Correct 0 ms 348 KB Correct
28 Correct 0 ms 348 KB Correct
29 Correct 1 ms 348 KB Correct
30 Correct 0 ms 348 KB Correct
31 Correct 0 ms 348 KB Correct
32 Correct 0 ms 348 KB Correct
33 Correct 0 ms 348 KB Correct
34 Correct 0 ms 348 KB Correct
35 Correct 0 ms 348 KB Correct
36 Correct 1 ms 348 KB Correct
37 Correct 0 ms 348 KB Correct
38 Correct 0 ms 348 KB Correct
39 Correct 0 ms 360 KB Correct
40 Correct 0 ms 348 KB Correct
41 Correct 0 ms 344 KB Correct
42 Correct 0 ms 348 KB Correct
43 Correct 0 ms 344 KB Correct
44 Correct 26 ms 604 KB Correct
45 Correct 100 ms 2128 KB Correct
46 Correct 111 ms 2004 KB Correct
47 Correct 105 ms 1988 KB Correct
48 Correct 99 ms 2132 KB Correct
49 Correct 118 ms 1980 KB Correct
50 Correct 107 ms 2132 KB Correct
51 Correct 106 ms 2128 KB Correct
52 Correct 115 ms 2128 KB Correct
53 Correct 115 ms 1980 KB Correct
54 Correct 0 ms 344 KB Correct
55 Correct 0 ms 348 KB Correct
56 Correct 16 ms 1624 KB Correct
57 Correct 17 ms 1640 KB Correct
58 Correct 17 ms 1624 KB Correct
59 Correct 38 ms 1628 KB Correct
60 Correct 45 ms 1628 KB Correct
61 Correct 61 ms 1624 KB Correct
62 Correct 111 ms 1984 KB Correct
63 Correct 110 ms 2128 KB Correct
64 Correct 113 ms 2132 KB Correct
65 Correct 114 ms 1964 KB Correct
66 Correct 108 ms 1852 KB Correct
67 Correct 102 ms 1868 KB Correct
68 Correct 32 ms 1368 KB Correct
69 Correct 37 ms 1104 KB Correct
70 Correct 96 ms 1872 KB Correct
71 Correct 90 ms 1808 KB Correct
72 Correct 94 ms 1872 KB Correct
73 Correct 112 ms 1776 KB Correct
74 Correct 9 ms 604 KB Correct
75 Correct 95 ms 2156 KB Correct
76 Correct 119 ms 1996 KB Correct
77 Correct 0 ms 348 KB Correct
78 Correct 30 ms 1684 KB Correct
79 Correct 33 ms 1624 KB Correct
80 Correct 29 ms 1884 KB Correct
81 Correct 15 ms 1640 KB Correct
82 Correct 16 ms 1628 KB Correct
83 Correct 16 ms 1628 KB Correct
84 Correct 12 ms 604 KB Correct
85 Correct 96 ms 1884 KB Correct
86 Correct 90 ms 1884 KB Correct
87 Correct 111 ms 1872 KB Correct
88 Correct 6 ms 860 KB Correct
89 Correct 5 ms 860 KB Correct