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Submission #287961

# Submission time Handle Problem Language Result Execution time Memory
287961 2020-09-01T07:15:16 Z PeppaPig Discharging (NOI20_discharging) C++14
100 / 100
 183 ms 22496 KB 
#include <bits/stdc++.h>

#define long long long

using namespace std;

const int N = 1e6 + 5;

struct CHT {
    struct line {
        long m, c;
        line(long m, long c) : m(m), c(c) {}
        long f(long x) { return m * x + c; }
    };
    int ptr = 0;
    vector<line> vec;

    bool bad(line a, line b, line c) {
        return 1.0 * (c.c - a.c) / (a.m - c.m) <= 1.0 * (b.c - a.c) /  (a.m - b.m);
    }

    void add(long m, long c) {
        line l(m, c);
        while(vec.size() > 1 && bad(vec[(int)vec.size() - 2], vec.back(), l))
            vec.pop_back();
        vec.emplace_back(l);
    }

    long get_ans(long x) {
        if(ptr >= (int)vec.size()) ptr = (int)vec.size() - 1;
        while(ptr + 1 < (int)vec.size() && vec[ptr + 1].f(x) < vec[ptr].f(x)) 
            ++ptr;
        return vec[ptr].f(x);
    }
} hull;

int n;
long A[N], dp[N];
vector<int> stk;

int main() {
    scanf("%d", &n);
    for(int i = n; i; i--) scanf("%lld", A + i);

    A[0] = 1e18;
    stk.emplace_back(0);
    for(int i = 1; i <= n; i++) {
        while(!stk.empty() && A[stk.back()] <= A[i])
            stk.pop_back();
        stk.emplace_back(i);
    }
    for(int i = 1; i < (int)stk.size(); i++) {
        hull.add(A[stk[i]], dp[i - 1]);
        dp[i] = hull.get_ans(stk[i]);
    }

    printf("%lld\n", dp[(int)stk.size() - 1]);

    return 0;
}

Compilation message

Discharging.cpp: In function 'int main()':
Discharging.cpp:42:10: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   42 |     scanf("%d", &n);
      |     ~~~~~^~~~~~~~~~
Discharging.cpp:43:33: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   43 |     for(int i = n; i; i--) scanf("%lld", A + i);
      |                            ~~~~~^~~~~~~~~~~~~~~

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 256 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 0 ms 256 KB Output is correct
4 Correct 0 ms 384 KB Output is correct
5 Correct 1 ms 256 KB Output is correct
6 Correct 0 ms 384 KB Output is correct
7 Correct 0 ms 384 KB Output is correct
8 Correct 0 ms 384 KB Output is correct
9 Correct 0 ms 384 KB Output is correct
10 Correct 1 ms 384 KB Output is correct
11 Correct 0 ms 384 KB Output is correct
12 Correct 1 ms 384 KB Output is correct
13 Correct 0 ms 384 KB Output is correct
14 Correct 0 ms 384 KB Output is correct

Subtask #2
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 1 ms 384 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 1 ms 384 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 1 ms 384 KB Output is correct
13 Correct 1 ms 384 KB Output is correct
14 Correct 1 ms 384 KB Output is correct
15 Correct 1 ms 384 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 1 ms 384 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 1 ms 384 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 1 ms 384 KB Output is correct
13 Correct 1 ms 384 KB Output is correct
14 Correct 1 ms 384 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 158 ms 17896 KB Output is correct
17 Correct 164 ms 19556 KB Output is correct
18 Correct 157 ms 16104 KB Output is correct
19 Correct 164 ms 19304 KB Output is correct
20 Correct 167 ms 19688 KB Output is correct
21 Correct 164 ms 19304 KB Output is correct
22 Correct 156 ms 18536 KB Output is correct
23 Correct 174 ms 21732 KB Output is correct
24 Correct 175 ms 20452 KB Output is correct
25 Correct 170 ms 20700 KB Output is correct
26 Correct 178 ms 22496 KB Output is correct
27 Correct 150 ms 17384 KB Output is correct
28 Correct 166 ms 19632 KB Output is correct
29 Correct 167 ms 20836 KB Output is correct
30 Correct 172 ms 22108 KB Output is correct

Subtask #4
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 181 ms 8184 KB Output is correct
2 Correct 170 ms 8204 KB Output is correct
3 Correct 180 ms 8184 KB Output is correct
4 Correct 166 ms 8184 KB Output is correct
5 Correct 177 ms 8224 KB Output is correct
6 Correct 179 ms 8080 KB Output is correct
7 Correct 183 ms 8184 KB Output is correct
8 Correct 179 ms 8280 KB Output is correct
9 Correct 178 ms 8184 KB Output is correct
10 Correct 175 ms 8140 KB Output is correct

Subtask #5
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 256 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 0 ms 256 KB Output is correct
4 Correct 0 ms 384 KB Output is correct
5 Correct 1 ms 256 KB Output is correct
6 Correct 0 ms 384 KB Output is correct
7 Correct 0 ms 384 KB Output is correct
8 Correct 0 ms 384 KB Output is correct
9 Correct 0 ms 384 KB Output is correct
10 Correct 1 ms 384 KB Output is correct
11 Correct 0 ms 384 KB Output is correct
12 Correct 1 ms 384 KB Output is correct
13 Correct 0 ms 384 KB Output is correct
14 Correct 0 ms 384 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 1 ms 384 KB Output is correct
17 Correct 1 ms 384 KB Output is correct
18 Correct 1 ms 384 KB Output is correct
19 Correct 1 ms 384 KB Output is correct
20 Correct 1 ms 384 KB Output is correct
21 Correct 1 ms 384 KB Output is correct
22 Correct 1 ms 384 KB Output is correct
23 Correct 1 ms 384 KB Output is correct
24 Correct 1 ms 384 KB Output is correct
25 Correct 1 ms 384 KB Output is correct
26 Correct 1 ms 384 KB Output is correct
27 Correct 1 ms 384 KB Output is correct
28 Correct 1 ms 384 KB Output is correct
29 Correct 1 ms 384 KB Output is correct
30 Correct 1 ms 384 KB Output is correct
31 Correct 1 ms 384 KB Output is correct
32 Correct 1 ms 384 KB Output is correct
33 Correct 1 ms 384 KB Output is correct
34 Correct 1 ms 384 KB Output is correct
35 Correct 1 ms 384 KB Output is correct
36 Correct 1 ms 384 KB Output is correct
37 Correct 1 ms 384 KB Output is correct
38 Correct 1 ms 384 KB Output is correct
39 Correct 1 ms 384 KB Output is correct
40 Correct 1 ms 384 KB Output is correct
41 Correct 1 ms 384 KB Output is correct
42 Correct 1 ms 384 KB Output is correct
43 Correct 1 ms 384 KB Output is correct
44 Correct 1 ms 384 KB Output is correct
45 Correct 1 ms 384 KB Output is correct
46 Correct 1 ms 384 KB Output is correct
47 Correct 1 ms 384 KB Output is correct
48 Correct 1 ms 384 KB Output is correct
49 Correct 1 ms 384 KB Output is correct
50 Correct 1 ms 384 KB Output is correct

Subtask #6
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 256 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 0 ms 256 KB Output is correct
4 Correct 0 ms 384 KB Output is correct
5 Correct 1 ms 256 KB Output is correct
6 Correct 0 ms 384 KB Output is correct
7 Correct 0 ms 384 KB Output is correct
8 Correct 0 ms 384 KB Output is correct
9 Correct 0 ms 384 KB Output is correct
10 Correct 1 ms 384 KB Output is correct
11 Correct 0 ms 384 KB Output is correct
12 Correct 1 ms 384 KB Output is correct
13 Correct 0 ms 384 KB Output is correct
14 Correct 0 ms 384 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 1 ms 384 KB Output is correct
17 Correct 1 ms 384 KB Output is correct
18 Correct 1 ms 384 KB Output is correct
19 Correct 1 ms 384 KB Output is correct
20 Correct 1 ms 384 KB Output is correct
21 Correct 1 ms 384 KB Output is correct
22 Correct 1 ms 384 KB Output is correct
23 Correct 1 ms 384 KB Output is correct
24 Correct 1 ms 384 KB Output is correct
25 Correct 1 ms 384 KB Output is correct
26 Correct 1 ms 384 KB Output is correct
27 Correct 1 ms 384 KB Output is correct
28 Correct 1 ms 384 KB Output is correct
29 Correct 1 ms 384 KB Output is correct
30 Correct 158 ms 17896 KB Output is correct
31 Correct 164 ms 19556 KB Output is correct
32 Correct 157 ms 16104 KB Output is correct
33 Correct 164 ms 19304 KB Output is correct
34 Correct 167 ms 19688 KB Output is correct
35 Correct 164 ms 19304 KB Output is correct
36 Correct 156 ms 18536 KB Output is correct
37 Correct 174 ms 21732 KB Output is correct
38 Correct 175 ms 20452 KB Output is correct
39 Correct 170 ms 20700 KB Output is correct
40 Correct 178 ms 22496 KB Output is correct
41 Correct 150 ms 17384 KB Output is correct
42 Correct 166 ms 19632 KB Output is correct
43 Correct 167 ms 20836 KB Output is correct
44 Correct 172 ms 22108 KB Output is correct
45 Correct 181 ms 8184 KB Output is correct
46 Correct 170 ms 8204 KB Output is correct
47 Correct 180 ms 8184 KB Output is correct
48 Correct 166 ms 8184 KB Output is correct
49 Correct 177 ms 8224 KB Output is correct
50 Correct 179 ms 8080 KB Output is correct
51 Correct 183 ms 8184 KB Output is correct
52 Correct 179 ms 8280 KB Output is correct
53 Correct 178 ms 8184 KB Output is correct
54 Correct 175 ms 8140 KB Output is correct
55 Correct 1 ms 384 KB Output is correct
56 Correct 1 ms 384 KB Output is correct
57 Correct 1 ms 384 KB Output is correct
58 Correct 1 ms 384 KB Output is correct
59 Correct 1 ms 384 KB Output is correct
60 Correct 1 ms 384 KB Output is correct
61 Correct 1 ms 384 KB Output is correct
62 Correct 1 ms 384 KB Output is correct
63 Correct 1 ms 384 KB Output is correct
64 Correct 1 ms 384 KB Output is correct
65 Correct 1 ms 384 KB Output is correct
66 Correct 1 ms 384 KB Output is correct
67 Correct 1 ms 384 KB Output is correct
68 Correct 1 ms 384 KB Output is correct
69 Correct 1 ms 384 KB Output is correct
70 Correct 1 ms 384 KB Output is correct
71 Correct 1 ms 384 KB Output is correct
72 Correct 1 ms 384 KB Output is correct
73 Correct 1 ms 384 KB Output is correct
74 Correct 1 ms 384 KB Output is correct
75 Correct 1 ms 384 KB Output is correct
76 Correct 175 ms 14200 KB Output is correct
77 Correct 173 ms 14328 KB Output is correct
78 Correct 169 ms 13560 KB Output is correct
79 Correct 165 ms 13816 KB Output is correct
80 Correct 178 ms 14456 KB Output is correct
81 Correct 165 ms 13692 KB Output is correct
82 Correct 162 ms 13688 KB Output is correct
83 Correct 171 ms 14072 KB Output is correct
84 Correct 171 ms 14072 KB Output is correct
85 Correct 172 ms 14200 KB Output is correct
86 Correct 168 ms 13708 KB Output is correct
87 Correct 160 ms 13432 KB Output is correct
88 Correct 161 ms 13816 KB Output is correct
89 Correct 164 ms 13688 KB Output is correct
90 Correct 166 ms 13700 KB Output is correct
91 Correct 159 ms 13432 KB Output is correct
92 Correct 168 ms 20964 KB Output is correct
93 Correct 159 ms 19428 KB Output is correct
94 Correct 159 ms 13048 KB Output is correct
95 Correct 179 ms 14456 KB Output is correct
96 Correct 166 ms 13432 KB Output is correct
97 Correct 166 ms 13816 KB Output is correct
98 Correct 171 ms 13944 KB Output is correct
99 Correct 168 ms 13560 KB Output is correct
100 Correct 170 ms 13688 KB Output is correct