oj.uz

Submission #587148

# Submission time Handle Problem Language Result Execution time Memory
587148 2022-07-01T11:45:25 Z rgnerdplayer Let's Win the Election (JOI22_ho_t3) C++17
100 / 100
 247 ms 1508 KB 
#include <bits/stdc++.h>
using namespace std;

using i64 = long long;

template <typename A, typename B>
string to_string(pair<A, B> p);
 
template <typename A, typename B, typename C>
string to_string(tuple<A, B, C> p);
 
template <typename A, typename B, typename C, typename D>
string to_string(tuple<A, B, C, D> p);
 
string to_string(const string& s) {
    return '"' + s + '"';
}
 
string to_string(const char* s) {
    return to_string((string) s);
}
 
string to_string(bool b) {
    return (b ? "true" : "false");
}
 
string to_string(vector<bool> v) {
    bool first = true;
    string res = "{";
    for (int i = 0; i < static_cast<int>(v.size()); i++) {
        if (!first) {
            res += ", ";
        }
        first = false;
        res += to_string(v[i]);
    }
    res += "}";
    return res;
}
 
template <size_t N>
string to_string(bitset<N> v) {
    string res = "";
    for (size_t i = 0; i < N; i++) {
        res += static_cast<char>('0' + v[i]);
    }
    return res;
}
 
template <typename A>
string to_string(A v) {
    bool first = true;
    string res = "{";
    for (const auto &x : v) {
        if (!first) {
            res += ", ";
        }
        first = false;
        res += to_string(x);
    }
    res += "}";
    return res;
}
 
template <typename A, typename B>
string to_string(pair<A, B> p) {
    return "(" + to_string(p.first) + ", " + to_string(p.second) + ")";
}
 
template <typename A, typename B, typename C>
string to_string(tuple<A, B, C> p) {
    return "(" + to_string(get<0>(p)) + ", " + to_string(get<1>(p)) + ", " + to_string(get<2>(p)) + ")";
}
 
template <typename A, typename B, typename C, typename D>
string to_string(tuple<A, B, C, D> p) {
    return "(" + to_string(get<0>(p)) + ", " + to_string(get<1>(p)) + ", " + to_string(get<2>(p)) + ", " + to_string(get<3>(p)) + ")";
}
 
void debug_out() { cout << endl; }
 
template <typename Head, typename... Tail>
void debug_out(Head H, Tail... T) {
    cout << " " << to_string(H);
    debug_out(T...);
}
 
#ifdef LOCAL
#define debug(...) cout << "[" << #__VA_ARGS__ << "]:", debug_out(__VA_ARGS__)
#else
#define debug(...) 42
#endif

int main() {
    cin.tie(nullptr)->sync_with_stdio(false);

#ifdef LOCAL
    freopen("input.txt", "r", stdin);
    freopen("output.txt", "w", stdout);
#endif

    auto solve = [&]() {
        int n, k;
        cin >> n >> k;

        vector<int> a(n), b(n);
        for (int i = 0; i < n; i++) {
            cin >> a[i] >> b[i];
            if (b[i] == -1) {
                b[i] = 1e9;
            }
        }

        vector<int> ord(n);
        iota(ord.begin(), ord.end(), 0);
        sort(ord.begin(), ord.end(), [&](auto i, auto j) {
            return b[i] < b[j];
        });

        vector g(n + 1, vector<int>(k + 1, 1e9));
        g[n][0] = 0;

        for (int i = n - 1; i >= 0; i--) {
            g[i] = g[i + 1];
            for (int j = 0; j < k; j++) {
                g[i][j + 1] = min(g[i][j + 1], g[i + 1][j] + a[ord[i]]);
            }
        }

        double ans = g[0][k];

        for (int x = 1; x <= k; x++) {
            vector<double> f(x + 1, 1e9);
            f[0] = 0;
            for (int i = 0; i < k; i++) {
                int p = ord[i];
                vector<double> nf(x + 1, 1e9);
                for (int j = 0; j <= x; j++) {
                    nf[j] = min(nf[j], f[j] + 1.0 * a[p] / (x + 1));
                    if (j < x) {
                        nf[j + 1] = min(nf[j + 1], f[j] + 1.0 * b[p] / (j + 1));
                    }
                }
                f = nf;
                ans = min(ans, f[x] + 1.0 * g[i + 1][k - i - 1] / (x + 1));
            }
        }

        cout << fixed << setprecision(9) << ans << '\n';
    };
    
    solve();
    
    return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 4 ms 596 KB Output is correct
7 Correct 25 ms 868 KB Output is correct
8 Correct 82 ms 1140 KB Output is correct
9 Correct 195 ms 1380 KB Output is correct
10 Correct 64 ms 980 KB Output is correct

Subtask #2
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 4 ms 596 KB Output is correct
7 Correct 25 ms 868 KB Output is correct
8 Correct 82 ms 1140 KB Output is correct
9 Correct 195 ms 1380 KB Output is correct
10 Correct 64 ms 980 KB Output is correct
11 Correct 1 ms 320 KB Output is correct
12 Correct 7 ms 712 KB Output is correct
13 Correct 6 ms 596 KB Output is correct
14 Correct 6 ms 596 KB Output is correct
15 Correct 72 ms 1092 KB Output is correct
16 Correct 71 ms 1092 KB Output is correct
17 Correct 64 ms 1096 KB Output is correct
18 Correct 178 ms 1344 KB Output is correct
19 Correct 186 ms 1508 KB Output is correct
20 Correct 180 ms 1364 KB Output is correct

Subtask #3
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 324 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 1 ms 320 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 316 KB Output is correct
15 Correct 1 ms 212 KB Output is correct

Subtask #4
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 324 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 1 ms 320 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 316 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
22 Correct 0 ms 212 KB Output is correct
23 Correct 0 ms 212 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 1 ms 212 KB Output is correct
26 Correct 0 ms 212 KB Output is correct
27 Correct 1 ms 212 KB Output is correct
28 Correct 1 ms 212 KB Output is correct
29 Correct 1 ms 320 KB Output is correct
30 Correct 1 ms 212 KB Output is correct
31 Correct 1 ms 212 KB Output is correct
32 Correct 0 ms 320 KB Output is correct
33 Correct 1 ms 212 KB Output is correct
34 Correct 1 ms 212 KB Output is correct
35 Correct 1 ms 212 KB Output is correct
36 Correct 1 ms 212 KB Output is correct
37 Correct 1 ms 212 KB Output is correct
38 Correct 1 ms 212 KB Output is correct
39 Correct 1 ms 212 KB Output is correct
40 Correct 1 ms 212 KB Output is correct

Subtask #5
33.0 / 33.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 324 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 1 ms 320 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 316 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
22 Correct 0 ms 212 KB Output is correct
23 Correct 0 ms 212 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 1 ms 212 KB Output is correct
26 Correct 0 ms 212 KB Output is correct
27 Correct 1 ms 212 KB Output is correct
28 Correct 1 ms 212 KB Output is correct
29 Correct 1 ms 320 KB Output is correct
30 Correct 1 ms 212 KB Output is correct
31 Correct 1 ms 212 KB Output is correct
32 Correct 0 ms 320 KB Output is correct
33 Correct 1 ms 212 KB Output is correct
34 Correct 1 ms 212 KB Output is correct
35 Correct 1 ms 212 KB Output is correct
36 Correct 1 ms 212 KB Output is correct
37 Correct 1 ms 212 KB Output is correct
38 Correct 1 ms 212 KB Output is correct
39 Correct 1 ms 212 KB Output is correct
40 Correct 1 ms 212 KB Output is correct
41 Correct 1 ms 212 KB Output is correct
42 Correct 1 ms 320 KB Output is correct
43 Correct 1 ms 340 KB Output is correct
44 Correct 1 ms 340 KB Output is correct
45 Correct 1 ms 340 KB Output is correct
46 Correct 1 ms 340 KB Output is correct
47 Correct 1 ms 340 KB Output is correct
48 Correct 2 ms 340 KB Output is correct
49 Correct 2 ms 340 KB Output is correct
50 Correct 2 ms 340 KB Output is correct
51 Correct 3 ms 340 KB Output is correct
52 Correct 2 ms 320 KB Output is correct
53 Correct 1 ms 344 KB Output is correct
54 Correct 1 ms 340 KB Output is correct
55 Correct 1 ms 324 KB Output is correct
56 Correct 1 ms 340 KB Output is correct
57 Correct 1 ms 340 KB Output is correct
58 Correct 1 ms 340 KB Output is correct
59 Correct 1 ms 316 KB Output is correct
60 Correct 1 ms 340 KB Output is correct

Subtask #6
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 182 ms 1380 KB Output is correct
2 Correct 189 ms 1384 KB Output is correct
3 Correct 247 ms 1376 KB Output is correct
4 Correct 189 ms 1364 KB Output is correct
5 Correct 185 ms 1376 KB Output is correct
6 Correct 180 ms 1384 KB Output is correct
7 Correct 192 ms 1392 KB Output is correct

Subtask #7
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 4 ms 596 KB Output is correct
7 Correct 25 ms 868 KB Output is correct
8 Correct 82 ms 1140 KB Output is correct
9 Correct 195 ms 1380 KB Output is correct
10 Correct 64 ms 980 KB Output is correct
11 Correct 1 ms 320 KB Output is correct
12 Correct 7 ms 712 KB Output is correct
13 Correct 6 ms 596 KB Output is correct
14 Correct 6 ms 596 KB Output is correct
15 Correct 72 ms 1092 KB Output is correct
16 Correct 71 ms 1092 KB Output is correct
17 Correct 64 ms 1096 KB Output is correct
18 Correct 178 ms 1344 KB Output is correct
19 Correct 186 ms 1508 KB Output is correct
20 Correct 180 ms 1364 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 1 ms 212 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 0 ms 212 KB Output is correct
26 Correct 1 ms 212 KB Output is correct
27 Correct 1 ms 324 KB Output is correct
28 Correct 1 ms 212 KB Output is correct
29 Correct 1 ms 212 KB Output is correct
30 Correct 0 ms 212 KB Output is correct
31 Correct 1 ms 320 KB Output is correct
32 Correct 1 ms 212 KB Output is correct
33 Correct 1 ms 212 KB Output is correct
34 Correct 1 ms 316 KB Output is correct
35 Correct 1 ms 212 KB Output is correct
36 Correct 1 ms 212 KB Output is correct
37 Correct 1 ms 212 KB Output is correct
38 Correct 1 ms 212 KB Output is correct
39 Correct 1 ms 212 KB Output is correct
40 Correct 0 ms 212 KB Output is correct
41 Correct 1 ms 212 KB Output is correct
42 Correct 0 ms 212 KB Output is correct
43 Correct 0 ms 212 KB Output is correct
44 Correct 1 ms 212 KB Output is correct
45 Correct 1 ms 212 KB Output is correct
46 Correct 0 ms 212 KB Output is correct
47 Correct 1 ms 212 KB Output is correct
48 Correct 1 ms 212 KB Output is correct
49 Correct 1 ms 320 KB Output is correct
50 Correct 1 ms 212 KB Output is correct
51 Correct 1 ms 212 KB Output is correct
52 Correct 0 ms 320 KB Output is correct
53 Correct 1 ms 212 KB Output is correct
54 Correct 1 ms 212 KB Output is correct
55 Correct 1 ms 212 KB Output is correct
56 Correct 1 ms 212 KB Output is correct
57 Correct 1 ms 212 KB Output is correct
58 Correct 1 ms 212 KB Output is correct
59 Correct 1 ms 212 KB Output is correct
60 Correct 1 ms 212 KB Output is correct
61 Correct 1 ms 212 KB Output is correct
62 Correct 1 ms 320 KB Output is correct
63 Correct 1 ms 340 KB Output is correct
64 Correct 1 ms 340 KB Output is correct
65 Correct 1 ms 340 KB Output is correct
66 Correct 1 ms 340 KB Output is correct
67 Correct 1 ms 340 KB Output is correct
68 Correct 2 ms 340 KB Output is correct
69 Correct 2 ms 340 KB Output is correct
70 Correct 2 ms 340 KB Output is correct
71 Correct 3 ms 340 KB Output is correct
72 Correct 2 ms 320 KB Output is correct
73 Correct 1 ms 344 KB Output is correct
74 Correct 1 ms 340 KB Output is correct
75 Correct 1 ms 324 KB Output is correct
76 Correct 1 ms 340 KB Output is correct
77 Correct 1 ms 340 KB Output is correct
78 Correct 1 ms 340 KB Output is correct
79 Correct 1 ms 316 KB Output is correct
80 Correct 1 ms 340 KB Output is correct
81 Correct 182 ms 1380 KB Output is correct
82 Correct 189 ms 1384 KB Output is correct
83 Correct 247 ms 1376 KB Output is correct
84 Correct 189 ms 1364 KB Output is correct
85 Correct 185 ms 1376 KB Output is correct
86 Correct 180 ms 1384 KB Output is correct
87 Correct 192 ms 1392 KB Output is correct
88 Correct 1 ms 340 KB Output is correct
89 Correct 1 ms 448 KB Output is correct
90 Correct 5 ms 596 KB Output is correct
91 Correct 4 ms 576 KB Output is correct
92 Correct 29 ms 904 KB Output is correct
93 Correct 25 ms 908 KB Output is correct
94 Correct 81 ms 1144 KB Output is correct
95 Correct 91 ms 1108 KB Output is correct
96 Correct 135 ms 1236 KB Output is correct
97 Correct 156 ms 1296 KB Output is correct
98 Correct 67 ms 1108 KB Output is correct
99 Correct 67 ms 1088 KB Output is correct
100 Correct 70 ms 980 KB Output is correct
101 Correct 66 ms 1084 KB Output is correct
102 Correct 76 ms 1088 KB Output is correct
103 Correct 68 ms 1092 KB Output is correct
104 Correct 77 ms 1088 KB Output is correct
105 Correct 66 ms 1108 KB Output is correct