Submission #47502

# Submission time Handle Problem Language Result Execution time Memory
47502 2018-05-03T20:46:31 Z qoo2p5 Long Distance Coach (JOI17_coach) C++14
100 / 100
256 ms 169844 KB
#include <bits/stdc++.h>

using namespace std;

typedef long long ll;
typedef long double ld;

const int INF = (int) 1e9 + 1e6;
const ll LINF = (ll) 1e18 + 1e9;
const ll MOD = (ll) 1e9 + 7;

#define sz(x) (int) (x).size()
#define mp(x, y) make_pair(x, y)
#define pb push_back
#define all(x) (x).begin(), (x).end()
#define lb(s, t, x) (int) (lower_bound(s, t, x) - s)
#define ub(s, t, x) (int) (upper_bound(s, t, x) - s)
#define rep(i, f, t) for (auto i = f; i < t; ++(i))
#define per(i, f, t) for (auto i = (f); i >= (t); --(i))

ll power(ll x, ll y, ll mod = MOD) {
    if (y == 0) {
        return 1;
    }
    if (y & 1) {
        return power(x, y - 1, mod) * x % mod;
    } else {
        ll tmp = power(x, y / 2, mod);
        return tmp * tmp % mod;
    }
}

template<typename A, typename B> bool mini(A &x, const B &y) {
    if (y < x) {
        x = y;
        return true;
    }
    return false;
}

template<typename A, typename B> bool maxi(A &x, const B &y) {
    if (x < y) {
        x = y;
        return true;
    }
    return false;
}

void add(ll &x, ll y) {
    x += y;
    if (x >= MOD) x -= MOD;
    if (x < 0) x += MOD;
}

void run();

#define TASK ""

int main() {
#ifdef LOCAL
    if (strlen(TASK) > 0) {
        cerr << "Reminder: you are using file i/o, filename: " TASK "!" << endl << endl;
    }
#endif
#ifndef LOCAL
    if (strlen(TASK)) {
        freopen(TASK ".in", "r", stdin);
        freopen(TASK ".out", "w", stdout);
    }
    ios::sync_with_stdio(false);
    cin.tie(0);
    cout.tie(0);
#endif
    cout << fixed << setprecision(12);
    run();
    return 0;
}

// == SOLUTION == //

const int N = (int) 2e5 + 123;

int n, m;
ll x, w, t;
ll s[N];
pair<ll, ll> p[N];
ll d[N], c[N];
int r[N];
vector<int> what[N];
ll dp[N];

struct Line {
    ll k, b;
    
    ll val(ll x) const {
        return k * x + b;
    }
};

ll div_up(ll x, ll y) {
    if (y < 0) {
        x = -x;
        y = -y;
    }
    if (x < 0) {
        return x / y;
    } else {
        return (x + y - 1) / y;
    }
}

ll inter(const Line &a, const Line &b) {
    return div_up(b.b - a.b, a.k - b.k);
}

struct CHT {
    vector<Line> lines;
    vector<ll> points;
    
    void add(const Line &l) {
        while (sz(points) && inter(l, lines.back()) <= points.back()) {
            points.pop_back();
            lines.pop_back();
        }
        if (sz(lines)) {
            points.pb(inter(l, lines.back()));
        }
        lines.pb(l);
    }
    
    ll get(ll x) {
        int pos = (int) (upper_bound(all(points), x) - points.begin());
        return lines[pos].val(x);
    }
};

CHT cht;

void run() {
    cin >> x >> n >> m >> w >> t;
    rep(i, 1, n + 1) {
        cin >> s[i];
    }
    s[n + 1] = x;
    rep(i, 1, m + 1) {
        cin >> p[i].first >> p[i].second;
    }
    sort(p + 1, p + m + 1);
    rep(i, 1, m + 1) {
        d[i] = p[i].first;
        c[i] = p[i].second;
    }
    rep(i, 0, n + 1) {
        r[i] = (int) (lower_bound(d, d + m + 1, s[i + 1] % t) - d) - 1;
        what[r[i]].pb(i);
    }
    
    dp[0] = s[n + 1] / t * w + w;
    cht.add({0, dp[0]});
    ll fee = 0;
    rep(i, 1, m + 1) {
        fee += c[i];
        dp[i] = dp[i - 1] + (s[n + 1] - d[i]) / t * w + w;
        for (int id : what[i]) {
            ll cnt = s[id + 1] / t;
            mini(dp[i], cht.get(cnt * w) + fee + i * cnt * w);
        }
        
        cht.add({-i, dp[i] - fee});
    }
    
    cout << dp[m] << "\n";
}

Compilation message

coach.cpp: In function 'int main()':
coach.cpp:67:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
         freopen(TASK ".in", "r", stdin);
         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
coach.cpp:68:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
         freopen(TASK ".out", "w", stdout);
         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 5 ms 5112 KB Output is correct
2 Correct 5 ms 5112 KB Output is correct
3 Correct 5 ms 5164 KB Output is correct
4 Correct 5 ms 5240 KB Output is correct
5 Correct 5 ms 5300 KB Output is correct
6 Correct 5 ms 5300 KB Output is correct
7 Correct 5 ms 5300 KB Output is correct
8 Correct 5 ms 5356 KB Output is correct
9 Correct 5 ms 5356 KB Output is correct
10 Correct 5 ms 5464 KB Output is correct
11 Correct 5 ms 5468 KB Output is correct
12 Correct 5 ms 5468 KB Output is correct
13 Correct 5 ms 5468 KB Output is correct
14 Correct 5 ms 5468 KB Output is correct
15 Correct 5 ms 5468 KB Output is correct
16 Correct 5 ms 5468 KB Output is correct
17 Correct 5 ms 5468 KB Output is correct
18 Correct 5 ms 5468 KB Output is correct
19 Correct 5 ms 5484 KB Output is correct
20 Correct 5 ms 5484 KB Output is correct
21 Correct 5 ms 5484 KB Output is correct
22 Correct 5 ms 5484 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 5 ms 5112 KB Output is correct
2 Correct 5 ms 5112 KB Output is correct
3 Correct 5 ms 5164 KB Output is correct
4 Correct 5 ms 5240 KB Output is correct
5 Correct 5 ms 5300 KB Output is correct
6 Correct 5 ms 5300 KB Output is correct
7 Correct 5 ms 5300 KB Output is correct
8 Correct 5 ms 5356 KB Output is correct
9 Correct 5 ms 5356 KB Output is correct
10 Correct 5 ms 5464 KB Output is correct
11 Correct 5 ms 5468 KB Output is correct
12 Correct 5 ms 5468 KB Output is correct
13 Correct 5 ms 5468 KB Output is correct
14 Correct 5 ms 5468 KB Output is correct
15 Correct 5 ms 5468 KB Output is correct
16 Correct 5 ms 5468 KB Output is correct
17 Correct 5 ms 5468 KB Output is correct
18 Correct 5 ms 5468 KB Output is correct
19 Correct 5 ms 5484 KB Output is correct
20 Correct 5 ms 5484 KB Output is correct
21 Correct 5 ms 5484 KB Output is correct
22 Correct 5 ms 5484 KB Output is correct
23 Correct 5 ms 5484 KB Output is correct
24 Correct 5 ms 5484 KB Output is correct
25 Correct 5 ms 5484 KB Output is correct
26 Correct 5 ms 5484 KB Output is correct
27 Correct 5 ms 5484 KB Output is correct
28 Correct 5 ms 5484 KB Output is correct
29 Correct 5 ms 5484 KB Output is correct
30 Correct 5 ms 5484 KB Output is correct
31 Correct 5 ms 5484 KB Output is correct
32 Correct 5 ms 5484 KB Output is correct
33 Correct 5 ms 5484 KB Output is correct
34 Correct 5 ms 5484 KB Output is correct
35 Correct 5 ms 5484 KB Output is correct
36 Correct 7 ms 5484 KB Output is correct
37 Correct 5 ms 5484 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 5 ms 5112 KB Output is correct
2 Correct 5 ms 5112 KB Output is correct
3 Correct 5 ms 5164 KB Output is correct
4 Correct 5 ms 5240 KB Output is correct
5 Correct 5 ms 5300 KB Output is correct
6 Correct 5 ms 5300 KB Output is correct
7 Correct 5 ms 5300 KB Output is correct
8 Correct 5 ms 5356 KB Output is correct
9 Correct 5 ms 5356 KB Output is correct
10 Correct 5 ms 5464 KB Output is correct
11 Correct 5 ms 5468 KB Output is correct
12 Correct 5 ms 5468 KB Output is correct
13 Correct 5 ms 5468 KB Output is correct
14 Correct 5 ms 5468 KB Output is correct
15 Correct 5 ms 5468 KB Output is correct
16 Correct 5 ms 5468 KB Output is correct
17 Correct 5 ms 5468 KB Output is correct
18 Correct 5 ms 5468 KB Output is correct
19 Correct 5 ms 5484 KB Output is correct
20 Correct 5 ms 5484 KB Output is correct
21 Correct 5 ms 5484 KB Output is correct
22 Correct 5 ms 5484 KB Output is correct
23 Correct 5 ms 5484 KB Output is correct
24 Correct 5 ms 5484 KB Output is correct
25 Correct 5 ms 5484 KB Output is correct
26 Correct 5 ms 5484 KB Output is correct
27 Correct 5 ms 5484 KB Output is correct
28 Correct 5 ms 5484 KB Output is correct
29 Correct 5 ms 5484 KB Output is correct
30 Correct 5 ms 5484 KB Output is correct
31 Correct 5 ms 5484 KB Output is correct
32 Correct 5 ms 5484 KB Output is correct
33 Correct 5 ms 5484 KB Output is correct
34 Correct 5 ms 5484 KB Output is correct
35 Correct 5 ms 5484 KB Output is correct
36 Correct 7 ms 5484 KB Output is correct
37 Correct 5 ms 5484 KB Output is correct
38 Correct 6 ms 5500 KB Output is correct
39 Correct 6 ms 5500 KB Output is correct
40 Correct 7 ms 5500 KB Output is correct
41 Correct 6 ms 5500 KB Output is correct
42 Correct 7 ms 5500 KB Output is correct
43 Correct 6 ms 5504 KB Output is correct
44 Correct 6 ms 5504 KB Output is correct
45 Correct 6 ms 5504 KB Output is correct
46 Correct 6 ms 5584 KB Output is correct
47 Correct 6 ms 5592 KB Output is correct
48 Correct 7 ms 5592 KB Output is correct
49 Correct 7 ms 5592 KB Output is correct
50 Correct 6 ms 5592 KB Output is correct
51 Correct 7 ms 5592 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 5 ms 5112 KB Output is correct
2 Correct 5 ms 5112 KB Output is correct
3 Correct 5 ms 5164 KB Output is correct
4 Correct 5 ms 5240 KB Output is correct
5 Correct 5 ms 5300 KB Output is correct
6 Correct 5 ms 5300 KB Output is correct
7 Correct 5 ms 5300 KB Output is correct
8 Correct 5 ms 5356 KB Output is correct
9 Correct 5 ms 5356 KB Output is correct
10 Correct 5 ms 5464 KB Output is correct
11 Correct 5 ms 5468 KB Output is correct
12 Correct 5 ms 5468 KB Output is correct
13 Correct 5 ms 5468 KB Output is correct
14 Correct 5 ms 5468 KB Output is correct
15 Correct 5 ms 5468 KB Output is correct
16 Correct 5 ms 5468 KB Output is correct
17 Correct 5 ms 5468 KB Output is correct
18 Correct 5 ms 5468 KB Output is correct
19 Correct 5 ms 5484 KB Output is correct
20 Correct 5 ms 5484 KB Output is correct
21 Correct 5 ms 5484 KB Output is correct
22 Correct 5 ms 5484 KB Output is correct
23 Correct 5 ms 5484 KB Output is correct
24 Correct 5 ms 5484 KB Output is correct
25 Correct 5 ms 5484 KB Output is correct
26 Correct 5 ms 5484 KB Output is correct
27 Correct 5 ms 5484 KB Output is correct
28 Correct 5 ms 5484 KB Output is correct
29 Correct 5 ms 5484 KB Output is correct
30 Correct 5 ms 5484 KB Output is correct
31 Correct 5 ms 5484 KB Output is correct
32 Correct 5 ms 5484 KB Output is correct
33 Correct 5 ms 5484 KB Output is correct
34 Correct 5 ms 5484 KB Output is correct
35 Correct 5 ms 5484 KB Output is correct
36 Correct 7 ms 5484 KB Output is correct
37 Correct 5 ms 5484 KB Output is correct
38 Correct 6 ms 5500 KB Output is correct
39 Correct 6 ms 5500 KB Output is correct
40 Correct 7 ms 5500 KB Output is correct
41 Correct 6 ms 5500 KB Output is correct
42 Correct 7 ms 5500 KB Output is correct
43 Correct 6 ms 5504 KB Output is correct
44 Correct 6 ms 5504 KB Output is correct
45 Correct 6 ms 5504 KB Output is correct
46 Correct 6 ms 5584 KB Output is correct
47 Correct 6 ms 5592 KB Output is correct
48 Correct 7 ms 5592 KB Output is correct
49 Correct 7 ms 5592 KB Output is correct
50 Correct 6 ms 5592 KB Output is correct
51 Correct 7 ms 5592 KB Output is correct
52 Correct 219 ms 18684 KB Output is correct
53 Correct 181 ms 27604 KB Output is correct
54 Correct 207 ms 29492 KB Output is correct
55 Correct 221 ms 34660 KB Output is correct
56 Correct 209 ms 39904 KB Output is correct
57 Correct 220 ms 45260 KB Output is correct
58 Correct 212 ms 51016 KB Output is correct
59 Correct 215 ms 56084 KB Output is correct
60 Correct 225 ms 61088 KB Output is correct
61 Correct 224 ms 66200 KB Output is correct
62 Correct 234 ms 71352 KB Output is correct
63 Correct 127 ms 85120 KB Output is correct
64 Correct 120 ms 85120 KB Output is correct
65 Correct 146 ms 89808 KB Output is correct
66 Correct 138 ms 95604 KB Output is correct
67 Correct 144 ms 101372 KB Output is correct
68 Correct 142 ms 107088 KB Output is correct
69 Correct 226 ms 109776 KB Output is correct
70 Correct 237 ms 115080 KB Output is correct
71 Correct 222 ms 120576 KB Output is correct
72 Correct 223 ms 126200 KB Output is correct
73 Correct 218 ms 131576 KB Output is correct
74 Correct 213 ms 137212 KB Output is correct
75 Correct 226 ms 142784 KB Output is correct
76 Correct 256 ms 148556 KB Output is correct
77 Correct 204 ms 153892 KB Output is correct
78 Correct 251 ms 159712 KB Output is correct
79 Correct 218 ms 164856 KB Output is correct
80 Correct 207 ms 169844 KB Output is correct