oj.uz

Submission #1048080

# Submission time Handle Problem Language Result Execution time Memory
1048080 2024-08-07T21:51:20 Z PurpleCrayon Sprinklers (CEOI24_sprinklers) C++17
100 / 100
 160 ms 6860 KB 
#include <bits/stdc++.h>
using namespace std;
 
#define sz(v) int(v.size())
#define ar array
typedef long long ll;
const int N = 1e5+10, MOD = 1e9+7;
const int INF = 2e9+10;
 
void solve() {
    int n, m; cin >> n >> m;
    vector<int> a(n); for (auto& x : a) cin >> x;
    vector<int> b(m); for (auto& x : b) cin >> x;
 
    vector<string> build(n + 1);
    auto can = [&](int x) {
        vector<int> dp(n+1);
        auto upd = [&](int i, int me, string c) {
            if (dp[i] <= me) {
                dp[i] = me;
                build[i] = c;
            }
        };
 
        for (int i = 0; i < n; i++) {
            // dp[i+1] = max(dp[i+1], dp[i]);
            upd(i+1, dp[i], "L");
 
            if (dp[i] >= m) continue;
            int need = b[dp[i]];
            if (a[i] - x <= need && need <= a[i]) {
                int cur = upper_bound(b.begin(), b.end(), a[i]) - b.begin();
                upd(i+1, cur, "L");
                // dp[i+1] = max(dp[i+1], cur);
            }
 
            if (a[i] <= need && need <= a[i] + x) {
                int cur = upper_bound(b.begin(), b.end(), a[i] + x) - b.begin();
                upd(i+1, cur, "R");
                // dp[i+1] = max(dp[i+1], cur);
            }
 
            if (i < n-1) {
                if (a[i+1] - x <= need && need <= a[i] + x) {
                    int cur = upper_bound(b.begin(), b.end(), a[i] + x) - b.begin();
                    upd(i+2, cur, "RL");
                    // dp[i+2] = max(dp[i+2], cur);
                }
            }
        }
 
        return dp[n] >= m;
    };

    int lo = -1, hi = MOD, mid = (lo + hi) / 2;
    while (lo < mid && mid < hi) {
        if (can(mid)) hi = mid;
        else lo = mid;
        mid = (lo + hi) / 2;
    }
 
    if (!can(hi)) {
        assert(n == 1);
        cout << -1 << '\n';
        return;
    }
 
    vector<char> ans(n, '?');
    int c = n;
    while (c > 0) {
        string p = build[c];
        if (sz(p) == 1) {
            ans[c-1] = p[0];
            c--;
        } else if (sz(p) == 2) {
            ans[c-1] = p[1];
            ans[c-2] = p[0];
            c -= 2;
        } else assert(false);
    }
 
    vector<int> ps(m + 1);
    for (int i = 0; i < n; i++) {
        int l = -1, r = -1;
        if (ans[i] == 'L') {
            l = a[i] - hi, r = a[i];
        } else if (ans[i] == 'R') {
            l = a[i], r = a[i] + hi;
        } else assert(false);
 
        int L = lower_bound(b.begin(), b.end(), l) - b.begin();
        int R = upper_bound(b.begin(), b.end(), r) - b.begin() - 1;
        if (L <= R) {
            ps[L]++;
            ps[R+1]--;
        }
    }
 
    for (int i = 1; i <= m; i++)
        ps[i] += ps[i-1];
 
    for (int i = 0; i < m; i++) {
        assert(ps[i]);
    }
 
    cout << hi << '\n';
    for (char c : ans) cout << c;
    cout << '\n';
}
 
int main() {
    ios::sync_with_stdio(false); cin.tie(0);
    int T = 1;
    // cin >> T;
    while (T--) solve();
}

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 6 ms 1116 KB Correct
3 Correct 0 ms 348 KB Correct
4 Correct 5 ms 604 KB Correct
5 Correct 6 ms 604 KB Correct
6 Correct 0 ms 348 KB Correct
7 Correct 0 ms 348 KB Correct
8 Correct 1 ms 344 KB Correct
9 Correct 0 ms 344 KB Correct

Subtask #2
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Correct
2 Correct 7 ms 1124 KB Correct
3 Correct 8 ms 872 KB Correct
4 Correct 93 ms 4896 KB Correct
5 Correct 100 ms 4808 KB Correct
6 Correct 0 ms 344 KB Correct
7 Correct 0 ms 348 KB Correct
8 Correct 35 ms 4812 KB Correct
9 Correct 36 ms 4812 KB Correct
10 Correct 38 ms 5064 KB Correct
11 Correct 32 ms 4304 KB Correct
12 Correct 45 ms 2496 KB Correct
13 Correct 66 ms 4632 KB Correct
14 Correct 69 ms 4640 KB Correct
15 Correct 80 ms 4560 KB Correct
16 Correct 58 ms 4640 KB Correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Correct
2 Correct 0 ms 348 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 0 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 0 ms 348 KB Correct
14 Correct 0 ms 344 KB Correct
15 Correct 1 ms 348 KB Correct
16 Correct 0 ms 348 KB Correct
17 Correct 0 ms 344 KB Correct
18 Correct 0 ms 344 KB Correct
19 Correct 0 ms 344 KB Correct
20 Correct 0 ms 348 KB Correct

Subtask #4
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Correct
2 Correct 28 ms 1624 KB Correct
3 Correct 136 ms 4812 KB Correct
4 Correct 143 ms 5068 KB Correct
5 Correct 141 ms 4808 KB Correct
6 Correct 136 ms 4780 KB Correct
7 Correct 138 ms 4808 KB Correct
8 Correct 137 ms 4808 KB Correct
9 Correct 137 ms 4756 KB Correct
10 Correct 160 ms 4808 KB Correct
11 Correct 144 ms 4812 KB Correct
12 Correct 0 ms 600 KB Correct
13 Correct 0 ms 348 KB Correct
14 Correct 31 ms 4388 KB Correct
15 Correct 34 ms 5328 KB Correct
16 Correct 33 ms 5332 KB Correct
17 Correct 34 ms 5592 KB Correct
18 Correct 33 ms 5584 KB Correct
19 Correct 47 ms 5724 KB Correct
20 Correct 115 ms 6348 KB Correct
21 Correct 113 ms 6312 KB Correct
22 Correct 105 ms 6100 KB Correct
23 Correct 109 ms 6100 KB Correct
24 Correct 97 ms 6088 KB Correct
25 Correct 96 ms 5908 KB Correct
26 Correct 54 ms 4700 KB Correct
27 Correct 49 ms 2764 KB Correct
28 Correct 88 ms 5724 KB Correct
29 Correct 80 ms 5632 KB Correct
30 Correct 89 ms 5668 KB Correct
31 Correct 103 ms 5648 KB Correct

Subtask #5
47.0 / 47.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Correct
2 Correct 0 ms 348 KB Correct
3 Correct 6 ms 1116 KB Correct
4 Correct 0 ms 348 KB Correct
5 Correct 5 ms 604 KB Correct
6 Correct 6 ms 604 KB Correct
7 Correct 0 ms 348 KB Correct
8 Correct 0 ms 348 KB Correct
9 Correct 1 ms 344 KB Correct
10 Correct 0 ms 344 KB Correct
11 Correct 7 ms 1124 KB Correct
12 Correct 8 ms 872 KB Correct
13 Correct 93 ms 4896 KB Correct
14 Correct 100 ms 4808 KB Correct
15 Correct 0 ms 344 KB Correct
16 Correct 0 ms 348 KB Correct
17 Correct 35 ms 4812 KB Correct
18 Correct 36 ms 4812 KB Correct
19 Correct 38 ms 5064 KB Correct
20 Correct 32 ms 4304 KB Correct
21 Correct 45 ms 2496 KB Correct
22 Correct 66 ms 4632 KB Correct
23 Correct 69 ms 4640 KB Correct
24 Correct 80 ms 4560 KB Correct
25 Correct 58 ms 4640 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 0 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 0 ms 348 KB Correct
37 Correct 0 ms 344 KB Correct
38 Correct 1 ms 348 KB Correct
39 Correct 0 ms 348 KB Correct
40 Correct 0 ms 344 KB Correct
41 Correct 0 ms 344 KB Correct
42 Correct 0 ms 344 KB Correct
43 Correct 0 ms 348 KB Correct
44 Correct 28 ms 1624 KB Correct
45 Correct 136 ms 4812 KB Correct
46 Correct 143 ms 5068 KB Correct
47 Correct 141 ms 4808 KB Correct
48 Correct 136 ms 4780 KB Correct
49 Correct 138 ms 4808 KB Correct
50 Correct 137 ms 4808 KB Correct
51 Correct 137 ms 4756 KB Correct
52 Correct 160 ms 4808 KB Correct
53 Correct 144 ms 4812 KB Correct
54 Correct 0 ms 600 KB Correct
55 Correct 0 ms 348 KB Correct
56 Correct 31 ms 4388 KB Correct
57 Correct 34 ms 5328 KB Correct
58 Correct 33 ms 5332 KB Correct
59 Correct 34 ms 5592 KB Correct
60 Correct 33 ms 5584 KB Correct
61 Correct 47 ms 5724 KB Correct
62 Correct 115 ms 6348 KB Correct
63 Correct 113 ms 6312 KB Correct
64 Correct 105 ms 6100 KB Correct
65 Correct 109 ms 6100 KB Correct
66 Correct 97 ms 6088 KB Correct
67 Correct 96 ms 5908 KB Correct
68 Correct 54 ms 4700 KB Correct
69 Correct 49 ms 2764 KB Correct
70 Correct 88 ms 5724 KB Correct
71 Correct 80 ms 5632 KB Correct
72 Correct 89 ms 5668 KB Correct
73 Correct 103 ms 5648 KB Correct
74 Correct 10 ms 2136 KB Correct
75 Correct 134 ms 6684 KB Correct
76 Correct 159 ms 6684 KB Correct
77 Correct 0 ms 348 KB Correct
78 Correct 36 ms 6852 KB Correct
79 Correct 38 ms 6856 KB Correct
80 Correct 37 ms 6860 KB Correct
81 Correct 32 ms 5328 KB Correct
82 Correct 34 ms 5328 KB Correct
83 Correct 34 ms 5576 KB Correct
84 Correct 16 ms 1628 KB Correct
85 Correct 101 ms 5928 KB Correct
86 Correct 111 ms 6088 KB Correct
87 Correct 106 ms 5396 KB Correct
88 Correct 7 ms 2136 KB Correct
89 Correct 6 ms 2140 KB Correct