Submission #952416

# Submission time Handle Problem Language Result Execution time Memory
952416 2024-03-23T19:43:14 Z idiotcomputer Long Distance Coach (JOI17_coach) C++11
100 / 100
233 ms 34428 KB
#include <bits/stdc++.h>
using namespace std;
#define ll long long int 
#define pii pair<ll,ll>
#define f first 
#define s second 
#define pb push_back
#define sz size 

ll x,w,t;
int n,m;

const int mxN = 2e5+1;
ll points[mxN];
pii pass[mxN];

ll dp[mxN];
int idx[mxN];
int nextv[mxN];
ll psum[mxN];

struct cmp {
    bool operator() (int a, int b) const {
        return (points[idx[a]] > points[idx[b]]);
    }
};

ll qu(int a, int b){
    if (a < b) swap(a,b);
    ll v1 = dp[a];
    ll v2 = dp[b];
    if (nextv[a] > 0) v2 += psum[nextv[a]-1];
    if (nextv[b] > 0) v2 -= psum[nextv[b]-1];
    v2 += (nextv[a] - nextv[b]) * (points[idx[b]] / t) * w;
    if (points[idx[a]] > points[idx[b]]){
        swap(a,b);
        swap(v1,v2);
    }
    if (points[idx[b]]/t == points[idx[a]]/t){
        if (v1 > v2){
            return  (ll) 1 * 1e18;
        } else {
            return (ll) -1 * 1e18;
        }
    }
    return max(nextv[a],nextv[b]) - 1 + (int) ceil((double) (v1 - v2) / (double) ((points[idx[b]]/t - points[idx[a]]/t) * w));
}

int main()
{
    //psum[0] = 0;
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    
    cin >> x >> n >> m >> w >> t;
    n++;
    map<ll,ll> exist;
    ll a;
    int cnt = 0;
    for (int i =0; i < n; i++){
        if (i == n-1) a = x;
        else cin >> a;
        if (exist.find(a%t) == exist.end()){
         //   cout << a%t << " L\n";
            points[i-cnt] = a;
            exist[a%t] = i-cnt; 
        } else {
            cnt++;
            points[exist[a%t]] = min(points[exist[a%t]],a);
        }
    }
    n -= cnt;
    
    for (int i =0; i < m; i++) cin >> pass[i].f >> pass[i].s;
    
    vector<pii> all(n+m);
    for (int i = 0; i < n; i++) all[i] = {points[i] % t, i};
    for (int i = 0; i < m; i++) all[i+n] = {pass[i].f, i+n};
    
    sort(all.begin(),all.end());
    
   /* for (int i =0; i < n; i++){
        cout << points[i] << " ";
    }
    cout << '\n';
    for (int i =0; i < m; i++) cout << pass[i].f << "," << pass[i].s << " ";
    cout << '\n';*/
    ll alt;
    ll best = 0;
    cnt = 0;
    int cnt2 = 0;
    set<int,cmp> curr;
    for (int i =n+m-1; i >= 0; i--){
      //  cout << all[i].f << ',' << all[i].s << ": ";
        if (all[i].s < n){
           /* cout << " bef ";
            for (auto it = curr.begin(); it != curr.end(); it++){
                cout << (*it) << " ";
            }
            cout << '\n';*/
            idx[cnt2] = all[i].s;
            nextv[cnt2] = cnt;
            dp[cnt2] = best;
            auto it = curr.lower_bound(cnt2);
       
            if (it != curr.end()){
                auto it2 = it;
                it2++;
                while (it2 != curr.end() && qu(cnt2,(*it)) >= qu((*it),(*it2))){
                    curr.erase(it);
                    it = it2;
                    it2++;
                }
                it = curr.lower_bound(cnt2);
            }
            if (it != curr.begin()){
                it--;
                if (it != curr.begin()){
                    auto it2 = it;
                    it2--;
                    while (qu(cnt2,(*it)) <= qu((*it),(*it2))){
                        curr.erase(it);
                        it = it2;
                        if (it2 == curr.begin()){
                            break;
                        }
                        it2--;
                    }
                }
                it = curr.lower_bound(cnt2);
            }
            if (it != curr.end() && it != curr.begin()){
                auto it2 = it;
                it2--;
                if (qu(cnt2,*it) > qu(cnt2, *it2)){
                    curr.insert(cnt2);
                }
            } else {
                curr.insert(cnt2);
            }
            cnt2++;
         /*   cout << " aft ";
            for (auto it = curr.begin(); it != curr.end(); it++){
                cout << (*it) << " ";
            }
            cout << '\n';*/
        } else {
            all[i].s -= n;
            psum[cnt] = pass[all[i].s].s;
            if (cnt > 0) psum[cnt] += psum[cnt-1];
            while (curr.sz() > 1){
                auto it = curr.begin();
                auto it2 = it;
                it2++;
               // cout << (*it) << "-" << (*it2) << " " << qu((*it),(*it2)) << '\n';
                if (qu((*it),(*it2)) <= cnt){
                    curr.erase(it);
                } else {
                    break;
                }
            }
            
            ll alt = 1e18;
            if (curr.sz() > 0){
                int cidx = *(curr.begin());
                //cout << cidx << " C ";
                alt = dp[cidx] + psum[cnt];
                if (nextv[cidx] > 0) alt -= psum[nextv[cidx]-1];
                alt += (points[idx[cidx]] / t) * w * (cnt - nextv[cidx]+1);
            }
            ll ctimes = x / t;
            if (x%t > all[i].f){
                ctimes++;
            }
            best = min(best+ctimes*w,alt);
         //   cout << best << '\n';
            cnt++;
        }
      //  cout << '\n';
    }
    best += w * (x/t+1);
    cout << best << '\n';
    
    return 0;
}

Compilation message

coach.cpp: In function 'int main()':
coach.cpp:88:8: warning: unused variable 'alt' [-Wunused-variable]
   88 |     ll alt;
      |        ^~~
# Verdict Execution time Memory Grader output
1 Correct 1 ms 8540 KB Output is correct
2 Correct 1 ms 8540 KB Output is correct
3 Correct 2 ms 8540 KB Output is correct
4 Correct 1 ms 8540 KB Output is correct
5 Correct 1 ms 8540 KB Output is correct
6 Correct 1 ms 8540 KB Output is correct
7 Correct 5 ms 8540 KB Output is correct
8 Correct 1 ms 8660 KB Output is correct
9 Correct 2 ms 8540 KB Output is correct
10 Correct 1 ms 8536 KB Output is correct
11 Correct 1 ms 8660 KB Output is correct
12 Correct 1 ms 8536 KB Output is correct
13 Correct 2 ms 8540 KB Output is correct
14 Correct 1 ms 8540 KB Output is correct
15 Correct 1 ms 8540 KB Output is correct
16 Correct 2 ms 8540 KB Output is correct
17 Correct 1 ms 8540 KB Output is correct
18 Correct 4 ms 8540 KB Output is correct
19 Correct 1 ms 8540 KB Output is correct
20 Correct 1 ms 8540 KB Output is correct
21 Correct 1 ms 8540 KB Output is correct
22 Correct 1 ms 8540 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 8540 KB Output is correct
2 Correct 1 ms 8540 KB Output is correct
3 Correct 2 ms 8540 KB Output is correct
4 Correct 1 ms 8540 KB Output is correct
5 Correct 1 ms 8540 KB Output is correct
6 Correct 1 ms 8540 KB Output is correct
7 Correct 5 ms 8540 KB Output is correct
8 Correct 1 ms 8660 KB Output is correct
9 Correct 2 ms 8540 KB Output is correct
10 Correct 1 ms 8536 KB Output is correct
11 Correct 1 ms 8660 KB Output is correct
12 Correct 1 ms 8536 KB Output is correct
13 Correct 2 ms 8540 KB Output is correct
14 Correct 1 ms 8540 KB Output is correct
15 Correct 1 ms 8540 KB Output is correct
16 Correct 2 ms 8540 KB Output is correct
17 Correct 1 ms 8540 KB Output is correct
18 Correct 4 ms 8540 KB Output is correct
19 Correct 1 ms 8540 KB Output is correct
20 Correct 1 ms 8540 KB Output is correct
21 Correct 1 ms 8540 KB Output is correct
22 Correct 1 ms 8540 KB Output is correct
23 Correct 1 ms 8540 KB Output is correct
24 Correct 1 ms 8540 KB Output is correct
25 Correct 2 ms 8660 KB Output is correct
26 Correct 1 ms 8536 KB Output is correct
27 Correct 1 ms 8540 KB Output is correct
28 Correct 1 ms 8540 KB Output is correct
29 Correct 3 ms 8540 KB Output is correct
30 Correct 1 ms 8540 KB Output is correct
31 Correct 1 ms 8540 KB Output is correct
32 Correct 1 ms 8540 KB Output is correct
33 Correct 1 ms 8540 KB Output is correct
34 Correct 1 ms 8680 KB Output is correct
35 Correct 2 ms 8536 KB Output is correct
36 Correct 1 ms 8656 KB Output is correct
37 Correct 1 ms 8540 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 8540 KB Output is correct
2 Correct 1 ms 8540 KB Output is correct
3 Correct 2 ms 8540 KB Output is correct
4 Correct 1 ms 8540 KB Output is correct
5 Correct 1 ms 8540 KB Output is correct
6 Correct 1 ms 8540 KB Output is correct
7 Correct 5 ms 8540 KB Output is correct
8 Correct 1 ms 8660 KB Output is correct
9 Correct 2 ms 8540 KB Output is correct
10 Correct 1 ms 8536 KB Output is correct
11 Correct 1 ms 8660 KB Output is correct
12 Correct 1 ms 8536 KB Output is correct
13 Correct 2 ms 8540 KB Output is correct
14 Correct 1 ms 8540 KB Output is correct
15 Correct 1 ms 8540 KB Output is correct
16 Correct 2 ms 8540 KB Output is correct
17 Correct 1 ms 8540 KB Output is correct
18 Correct 4 ms 8540 KB Output is correct
19 Correct 1 ms 8540 KB Output is correct
20 Correct 1 ms 8540 KB Output is correct
21 Correct 1 ms 8540 KB Output is correct
22 Correct 1 ms 8540 KB Output is correct
23 Correct 1 ms 8540 KB Output is correct
24 Correct 1 ms 8540 KB Output is correct
25 Correct 2 ms 8660 KB Output is correct
26 Correct 1 ms 8536 KB Output is correct
27 Correct 1 ms 8540 KB Output is correct
28 Correct 1 ms 8540 KB Output is correct
29 Correct 3 ms 8540 KB Output is correct
30 Correct 1 ms 8540 KB Output is correct
31 Correct 1 ms 8540 KB Output is correct
32 Correct 1 ms 8540 KB Output is correct
33 Correct 1 ms 8540 KB Output is correct
34 Correct 1 ms 8680 KB Output is correct
35 Correct 2 ms 8536 KB Output is correct
36 Correct 1 ms 8656 KB Output is correct
37 Correct 1 ms 8540 KB Output is correct
38 Correct 2 ms 8796 KB Output is correct
39 Correct 2 ms 8796 KB Output is correct
40 Correct 2 ms 8792 KB Output is correct
41 Correct 3 ms 8796 KB Output is correct
42 Correct 3 ms 8796 KB Output is correct
43 Correct 2 ms 8664 KB Output is correct
44 Correct 3 ms 8792 KB Output is correct
45 Correct 3 ms 8792 KB Output is correct
46 Correct 2 ms 8796 KB Output is correct
47 Correct 2 ms 8920 KB Output is correct
48 Correct 3 ms 8796 KB Output is correct
49 Correct 3 ms 8824 KB Output is correct
50 Correct 2 ms 8796 KB Output is correct
51 Correct 3 ms 8796 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 8540 KB Output is correct
2 Correct 1 ms 8540 KB Output is correct
3 Correct 2 ms 8540 KB Output is correct
4 Correct 1 ms 8540 KB Output is correct
5 Correct 1 ms 8540 KB Output is correct
6 Correct 1 ms 8540 KB Output is correct
7 Correct 5 ms 8540 KB Output is correct
8 Correct 1 ms 8660 KB Output is correct
9 Correct 2 ms 8540 KB Output is correct
10 Correct 1 ms 8536 KB Output is correct
11 Correct 1 ms 8660 KB Output is correct
12 Correct 1 ms 8536 KB Output is correct
13 Correct 2 ms 8540 KB Output is correct
14 Correct 1 ms 8540 KB Output is correct
15 Correct 1 ms 8540 KB Output is correct
16 Correct 2 ms 8540 KB Output is correct
17 Correct 1 ms 8540 KB Output is correct
18 Correct 4 ms 8540 KB Output is correct
19 Correct 1 ms 8540 KB Output is correct
20 Correct 1 ms 8540 KB Output is correct
21 Correct 1 ms 8540 KB Output is correct
22 Correct 1 ms 8540 KB Output is correct
23 Correct 1 ms 8540 KB Output is correct
24 Correct 1 ms 8540 KB Output is correct
25 Correct 2 ms 8660 KB Output is correct
26 Correct 1 ms 8536 KB Output is correct
27 Correct 1 ms 8540 KB Output is correct
28 Correct 1 ms 8540 KB Output is correct
29 Correct 3 ms 8540 KB Output is correct
30 Correct 1 ms 8540 KB Output is correct
31 Correct 1 ms 8540 KB Output is correct
32 Correct 1 ms 8540 KB Output is correct
33 Correct 1 ms 8540 KB Output is correct
34 Correct 1 ms 8680 KB Output is correct
35 Correct 2 ms 8536 KB Output is correct
36 Correct 1 ms 8656 KB Output is correct
37 Correct 1 ms 8540 KB Output is correct
38 Correct 2 ms 8796 KB Output is correct
39 Correct 2 ms 8796 KB Output is correct
40 Correct 2 ms 8792 KB Output is correct
41 Correct 3 ms 8796 KB Output is correct
42 Correct 3 ms 8796 KB Output is correct
43 Correct 2 ms 8664 KB Output is correct
44 Correct 3 ms 8792 KB Output is correct
45 Correct 3 ms 8792 KB Output is correct
46 Correct 2 ms 8796 KB Output is correct
47 Correct 2 ms 8920 KB Output is correct
48 Correct 3 ms 8796 KB Output is correct
49 Correct 3 ms 8824 KB Output is correct
50 Correct 2 ms 8796 KB Output is correct
51 Correct 3 ms 8796 KB Output is correct
52 Correct 201 ms 34132 KB Output is correct
53 Correct 143 ms 34272 KB Output is correct
54 Correct 233 ms 33308 KB Output is correct
55 Correct 212 ms 33620 KB Output is correct
56 Correct 215 ms 33876 KB Output is correct
57 Correct 218 ms 33772 KB Output is correct
58 Correct 209 ms 34128 KB Output is correct
59 Correct 218 ms 33512 KB Output is correct
60 Correct 221 ms 33308 KB Output is correct
61 Correct 216 ms 33616 KB Output is correct
62 Correct 225 ms 33692 KB Output is correct
63 Correct 132 ms 32528 KB Output is correct
64 Correct 120 ms 34388 KB Output is correct
65 Correct 157 ms 34384 KB Output is correct
66 Correct 162 ms 34188 KB Output is correct
67 Correct 140 ms 34388 KB Output is correct
68 Correct 151 ms 34352 KB Output is correct
69 Correct 192 ms 34128 KB Output is correct
70 Correct 196 ms 34076 KB Output is correct
71 Correct 193 ms 33920 KB Output is correct
72 Correct 214 ms 34428 KB Output is correct
73 Correct 199 ms 34008 KB Output is correct
74 Correct 207 ms 34140 KB Output is correct
75 Correct 217 ms 34184 KB Output is correct
76 Correct 228 ms 34160 KB Output is correct
77 Correct 191 ms 33876 KB Output is correct
78 Correct 199 ms 34172 KB Output is correct
79 Correct 193 ms 33572 KB Output is correct
80 Correct 191 ms 33492 KB Output is correct