oj.uz

Submission #241491

# Submission time Handle Problem Language Result Execution time Memory
241491 2020-06-24T09:18:15 Z osaaateiasavtnl Long Distance Coach (JOI17_coach) C++17
100 / 100
 529 ms 42148 KB 
#include<bits/stdc++.h>
using namespace std;
#define int long long
#define ii pair <int, int>
#define app push_back
#define all(a) a.begin(), a.end()
#define bp __builtin_popcountll
#define ll long long
#define mp make_pair
#define f first
#define s second
#define Time (double)clock()/CLOCKS_PER_SEC
 
const int N = 2e5+7;

const ll inf = 5e18;
bool Q = 0;
struct Line {
    mutable ll m, b, x;
 
    bool operator < (const Line ot) const {
        return Q ? x < ot.x : m < ot.m;
    }
}; 
ll ceil (ll a, ll b) {
    if (a < 0 != b < 0) return a / b;
    return (abs(a) + abs(b) - 1) / abs(b);
} 
ll intersection (const Line &p, const Line &q) {
    return ceil(q.b - p.b, p.m - q.m);
}
struct Hull : multiset<Line> {
    bool valid (auto it) {
        if (it == begin()) {
            auto sig = it;
            sig++;
            if (sig != end()) sig->x = intersection(*it, *sig);
            return it->x = -inf;
        }
 
        auto ant = it, sig = it;
        ant--, sig++;
 
        if (sig == end()) {
            it->x = intersection(*it, *ant);
            return 1;
        }
 
        ll x = intersection(*it, *ant);
        ll y = intersection(*it, *sig);
 
        if (x > y) return 0;
        it->x = x, sig->x = y;
        return 1;
    }
 
    void add (ll m, ll b) {
        m = -m;
        b = -b;

        auto it = lower_bound({m, b, -inf});
 
        if (it != end() && it->m == m) {
            if (it->b > b) return;
            it->b = b;
        } else {
            it = insert({m, b, -inf});
        }
 
        if (!valid(it)) {
            erase(it);
            return;
        }
 
        auto ant = it;
        while (ant != begin()) {
            if (valid(--ant)) break;
            erase(ant);
            if (it == begin()) { it->x = -inf; break; }
            ant = it;
        }
 
        auto sig = it;
        sig++;
        while (sig != end() && !valid(sig))
            erase(sig++);
    }
 
    ll query (ll x) {
        if (empty()) return -inf;
 
        Q = 1;
        auto it = upper_bound({0, 0, x});
        it--;
        Q = 0;
        return x * it->m + it->b;
    }
} h;

int pref[N];
signed main() {
    #ifdef HOME
    freopen("input.txt", "r", stdin);
    #else
    #define endl '\n'
    ios_base::sync_with_stdio(0); cin.tie(0);
    #endif

    int x, n, m, w, t;
    cin >> x >> n >> m >> w >> t;
 
    //first - d, second - c
 
    vector <int> s(n);
    for (int i = 0; i < n; ++i) 
        cin >> s[i];
    sort(all(s));
    s.app(x);
 
    vector <ii> a(m);
    for (int i = 0; i < m; ++i) 
        cin >> a[i].f >> a[i].s;
 
    sort(all(a));
    reverse(all(a));
    a.insert(a.begin(), mp(0, 0));
 
    map <int, int> pos;
    for (int i = 0; i < a.size(); ++i)
        pos[a[i].f] = i;        
 
    vector <int> c;
    for (auto e : a)    
        c.app(e.f);
    sort(all(c));
 
    vector <int> last(s.size()), mem(a.size(), s.size());
    for (int i = 0; i < s.size(); ++i) {
        int p = lower_bound(all(c), s[i]%t) - c.begin();
        p = (p - 1 + c.size()) % c.size();
        last[i] = pos[c[p]];
        mem[last[i]] = min(mem[last[i]], i);
    }
    vector <int> dp(a.size()+1);
    dp[0] = (x/t+1)*w;
    dp[1] = dp[0]+(x/t+(a[1].f<=(x%t)))*w;

    for (int i = 0; i < a.size(); ++i)
        pref[i+1] = pref[i] + a[i].s;

    for (int j = 2; j <= a.size(); ++j) {
        if (mem[j-1] != s.size()) {
            int k = s[mem[j-1]]/t*w;
            int x = -h.query(j-2);
            if (x != inf) {
                h.add(k, x-k*(j-2));
            }   
            int i = j - 2;
            h.add(k, dp[i]-pref[i+1]-i*k);
        } 
        int save = 0;
        if (j < a.size())
            save = (x/t+(a[j].f<=(x%t)))*w;
        int mn = -h.query(j-1)+pref[j];
        mn = min(mn, dp[j-1]);
        dp[j] = mn + save;
    }       
    cout << (int)dp[a.size()] << endl;
}

Compilation message

coach.cpp: In function 'long long int ceil(long long int, long long int)':
coach.cpp:26:11: warning: suggest parentheses around comparison in operand of '!=' [-Wparentheses]
     if (a < 0 != b < 0) return a / b;
         ~~^~~
coach.cpp: In function 'int main()':
coach.cpp:129:23: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for (int i = 0; i < a.size(); ++i)
                     ~~^~~~~~~~~~
coach.cpp:138:23: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for (int i = 0; i < s.size(); ++i) {
                     ~~^~~~~~~~~~
coach.cpp:148:23: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for (int i = 0; i < a.size(); ++i)
                     ~~^~~~~~~~~~
coach.cpp:151:23: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for (int j = 2; j <= a.size(); ++j) {
                     ~~^~~~~~~~~~~
coach.cpp:152:22: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
         if (mem[j-1] != s.size()) {
coach.cpp:162:15: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
         if (j < a.size())
             ~~^~~~~~~~~~
coach.cpp: In instantiation of 'bool Hull::valid(auto:1) [with auto:1 = std::_Rb_tree_const_iterator<Line>]':
coach.cpp:70:22:   required from here
coach.cpp:38:29: warning: suggest parentheses around assignment used as truth value [-Wparentheses]
             return it->x = -inf;
                             ^~~

Subtask #1
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 5 ms 384 KB Output is correct
3 Correct 5 ms 384 KB Output is correct
4 Correct 5 ms 384 KB Output is correct
5 Correct 4 ms 384 KB Output is correct
6 Correct 5 ms 384 KB Output is correct
7 Correct 5 ms 384 KB Output is correct
8 Correct 4 ms 384 KB Output is correct
9 Correct 4 ms 384 KB Output is correct
10 Correct 4 ms 384 KB Output is correct
11 Correct 4 ms 256 KB Output is correct
12 Correct 5 ms 384 KB Output is correct
13 Correct 5 ms 384 KB Output is correct
14 Correct 5 ms 384 KB Output is correct
15 Correct 5 ms 384 KB Output is correct
16 Correct 4 ms 256 KB Output is correct
17 Correct 4 ms 384 KB Output is correct
18 Correct 4 ms 384 KB Output is correct
19 Correct 4 ms 384 KB Output is correct
20 Correct 5 ms 384 KB Output is correct
21 Correct 4 ms 384 KB Output is correct
22 Correct 5 ms 384 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 5 ms 384 KB Output is correct
3 Correct 5 ms 384 KB Output is correct
4 Correct 5 ms 384 KB Output is correct
5 Correct 4 ms 384 KB Output is correct
6 Correct 5 ms 384 KB Output is correct
7 Correct 5 ms 384 KB Output is correct
8 Correct 4 ms 384 KB Output is correct
9 Correct 4 ms 384 KB Output is correct
10 Correct 4 ms 384 KB Output is correct
11 Correct 4 ms 256 KB Output is correct
12 Correct 5 ms 384 KB Output is correct
13 Correct 5 ms 384 KB Output is correct
14 Correct 5 ms 384 KB Output is correct
15 Correct 5 ms 384 KB Output is correct
16 Correct 4 ms 256 KB Output is correct
17 Correct 4 ms 384 KB Output is correct
18 Correct 4 ms 384 KB Output is correct
19 Correct 4 ms 384 KB Output is correct
20 Correct 5 ms 384 KB Output is correct
21 Correct 4 ms 384 KB Output is correct
22 Correct 5 ms 384 KB Output is correct
23 Correct 4 ms 384 KB Output is correct
24 Correct 5 ms 384 KB Output is correct
25 Correct 5 ms 384 KB Output is correct
26 Correct 5 ms 384 KB Output is correct
27 Correct 5 ms 384 KB Output is correct
28 Correct 5 ms 384 KB Output is correct
29 Correct 5 ms 384 KB Output is correct
30 Correct 4 ms 384 KB Output is correct
31 Correct 5 ms 384 KB Output is correct
32 Correct 4 ms 384 KB Output is correct
33 Correct 5 ms 384 KB Output is correct
34 Correct 4 ms 384 KB Output is correct
35 Correct 5 ms 384 KB Output is correct
36 Correct 5 ms 384 KB Output is correct
37 Correct 5 ms 384 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 5 ms 384 KB Output is correct
3 Correct 5 ms 384 KB Output is correct
4 Correct 5 ms 384 KB Output is correct
5 Correct 4 ms 384 KB Output is correct
6 Correct 5 ms 384 KB Output is correct
7 Correct 5 ms 384 KB Output is correct
8 Correct 4 ms 384 KB Output is correct
9 Correct 4 ms 384 KB Output is correct
10 Correct 4 ms 384 KB Output is correct
11 Correct 4 ms 256 KB Output is correct
12 Correct 5 ms 384 KB Output is correct
13 Correct 5 ms 384 KB Output is correct
14 Correct 5 ms 384 KB Output is correct
15 Correct 5 ms 384 KB Output is correct
16 Correct 4 ms 256 KB Output is correct
17 Correct 4 ms 384 KB Output is correct
18 Correct 4 ms 384 KB Output is correct
19 Correct 4 ms 384 KB Output is correct
20 Correct 5 ms 384 KB Output is correct
21 Correct 4 ms 384 KB Output is correct
22 Correct 5 ms 384 KB Output is correct
23 Correct 4 ms 384 KB Output is correct
24 Correct 5 ms 384 KB Output is correct
25 Correct 5 ms 384 KB Output is correct
26 Correct 5 ms 384 KB Output is correct
27 Correct 5 ms 384 KB Output is correct
28 Correct 5 ms 384 KB Output is correct
29 Correct 5 ms 384 KB Output is correct
30 Correct 4 ms 384 KB Output is correct
31 Correct 5 ms 384 KB Output is correct
32 Correct 4 ms 384 KB Output is correct
33 Correct 5 ms 384 KB Output is correct
34 Correct 4 ms 384 KB Output is correct
35 Correct 5 ms 384 KB Output is correct
36 Correct 5 ms 384 KB Output is correct
37 Correct 5 ms 384 KB Output is correct
38 Correct 6 ms 640 KB Output is correct
39 Correct 7 ms 640 KB Output is correct
40 Correct 7 ms 640 KB Output is correct
41 Correct 6 ms 640 KB Output is correct
42 Correct 7 ms 640 KB Output is correct
43 Correct 6 ms 640 KB Output is correct
44 Correct 6 ms 640 KB Output is correct
45 Correct 7 ms 640 KB Output is correct
46 Correct 7 ms 768 KB Output is correct
47 Correct 7 ms 640 KB Output is correct
48 Correct 7 ms 640 KB Output is correct
49 Correct 6 ms 640 KB Output is correct
50 Correct 6 ms 640 KB Output is correct
51 Correct 6 ms 640 KB Output is correct

Subtask #4
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 5 ms 384 KB Output is correct
3 Correct 5 ms 384 KB Output is correct
4 Correct 5 ms 384 KB Output is correct
5 Correct 4 ms 384 KB Output is correct
6 Correct 5 ms 384 KB Output is correct
7 Correct 5 ms 384 KB Output is correct
8 Correct 4 ms 384 KB Output is correct
9 Correct 4 ms 384 KB Output is correct
10 Correct 4 ms 384 KB Output is correct
11 Correct 4 ms 256 KB Output is correct
12 Correct 5 ms 384 KB Output is correct
13 Correct 5 ms 384 KB Output is correct
14 Correct 5 ms 384 KB Output is correct
15 Correct 5 ms 384 KB Output is correct
16 Correct 4 ms 256 KB Output is correct
17 Correct 4 ms 384 KB Output is correct
18 Correct 4 ms 384 KB Output is correct
19 Correct 4 ms 384 KB Output is correct
20 Correct 5 ms 384 KB Output is correct
21 Correct 4 ms 384 KB Output is correct
22 Correct 5 ms 384 KB Output is correct
23 Correct 4 ms 384 KB Output is correct
24 Correct 5 ms 384 KB Output is correct
25 Correct 5 ms 384 KB Output is correct
26 Correct 5 ms 384 KB Output is correct
27 Correct 5 ms 384 KB Output is correct
28 Correct 5 ms 384 KB Output is correct
29 Correct 5 ms 384 KB Output is correct
30 Correct 4 ms 384 KB Output is correct
31 Correct 5 ms 384 KB Output is correct
32 Correct 4 ms 384 KB Output is correct
33 Correct 5 ms 384 KB Output is correct
34 Correct 4 ms 384 KB Output is correct
35 Correct 5 ms 384 KB Output is correct
36 Correct 5 ms 384 KB Output is correct
37 Correct 5 ms 384 KB Output is correct
38 Correct 6 ms 640 KB Output is correct
39 Correct 7 ms 640 KB Output is correct
40 Correct 7 ms 640 KB Output is correct
41 Correct 6 ms 640 KB Output is correct
42 Correct 7 ms 640 KB Output is correct
43 Correct 6 ms 640 KB Output is correct
44 Correct 6 ms 640 KB Output is correct
45 Correct 7 ms 640 KB Output is correct
46 Correct 7 ms 768 KB Output is correct
47 Correct 7 ms 640 KB Output is correct
48 Correct 7 ms 640 KB Output is correct
49 Correct 6 ms 640 KB Output is correct
50 Correct 6 ms 640 KB Output is correct
51 Correct 6 ms 640 KB Output is correct
52 Correct 458 ms 25912 KB Output is correct
53 Correct 464 ms 31772 KB Output is correct
54 Correct 231 ms 30876 KB Output is correct
55 Correct 239 ms 31008 KB Output is correct
56 Correct 234 ms 31264 KB Output is correct
57 Correct 241 ms 31132 KB Output is correct
58 Correct 235 ms 31552 KB Output is correct
59 Correct 242 ms 31008 KB Output is correct
60 Correct 224 ms 30756 KB Output is correct
61 Correct 244 ms 31004 KB Output is correct
62 Correct 227 ms 31004 KB Output is correct
63 Correct 365 ms 42148 KB Output is correct
64 Correct 207 ms 31920 KB Output is correct
65 Correct 509 ms 31780 KB Output is correct
66 Correct 507 ms 31644 KB Output is correct
67 Correct 480 ms 31780 KB Output is correct
68 Correct 490 ms 31748 KB Output is correct
69 Correct 487 ms 31404 KB Output is correct
70 Correct 529 ms 31516 KB Output is correct
71 Correct 484 ms 31516 KB Output is correct
72 Correct 467 ms 31396 KB Output is correct
73 Correct 485 ms 31520 KB Output is correct
74 Correct 486 ms 31524 KB Output is correct
75 Correct 470 ms 31516 KB Output is correct
76 Correct 522 ms 31776 KB Output is correct
77 Correct 219 ms 31520 KB Output is correct
78 Correct 224 ms 31516 KB Output is correct
79 Correct 479 ms 31008 KB Output is correct
80 Correct 483 ms 31112 KB Output is correct