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Submission #335928

# Submission time Handle Problem Language Result Execution time Memory
335928 2020-12-14T10:11:52 Z Vladth11 Discharging (NOI20_discharging) C++14
100 / 100
 293 ms 89040 KB 
#include <bits/stdc++.h>
#define debug(x) cerr << #x << " " << x << "\n"
#define debug_with_space(x) cerr << #x << " " << x << " "

using namespace std;
typedef long long ll;
typedef pair <ll, ll> pii;
typedef pair <ll, pii> piii;

const ll NMAX = 1000001;
const ll INF = (1LL << 60);
const ll MOD = 1000000007;
const ll BLOCK = 101;
const ll nr_of_bits = 35;

struct functie{
    ll a, b;
    ll valoare(ll x){
        return a * x + b;
    }
};

functie tree[NMAX * 4];

void update(ll node, ll st, ll dr, functie x){
    if(st == dr){
        if(x.valoare(st) < tree[node].valoare(st)){
            swap(x, tree[node]);
        }
        return;
    }
    ll mid = (st + dr) / 2;
    ll xs = x.valoare(st);
    ll xm = x.valoare(mid);
    ll ts = tree[node].valoare(st);
    ll tm = tree[node].valoare(mid);
    if(xm < tm){
        if(xs < ts){
            swap(tree[node], x);
            update(node * 2 + 1, mid + 1, dr, x);
        }else{
            swap(tree[node], x);
            update(node * 2, st, mid, x);
        }
    }else{
        if(xs < ts){
            update(node * 2, st, mid, x);
        }else{
            update(node * 2 + 1, mid + 1, dr, x);
        }
    }
}

ll query(ll node, ll st, ll dr, ll col){
    if(st == dr){
        return tree[node].valoare(col);
    }
    ll mid = (st + dr) / 2;
    ll val = tree[node].valoare(col);
    if(col <= mid){
        return min(query(node * 2, st, mid, col), val);
    }else{
        return min(val, query(node * 2 + 1, mid + 1, dr, col));
    }
}

vector <pii> grupe;
ll dp[NMAX + 1];
ll v[NMAX];

int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(0);
    cout.tie(0);
    for(ll i = 0; i < 4 * NMAX; i++){
        tree[i].b = INF;
    }
    ll n, i, ind = 1;
    cin >> n;
    cin >> v[1];
    for(i = 2; i <= n; i++){
        cin >> v[i];
        if(v[i] > v[ind]){
            grupe.push_back({v[ind], ind});
            ind = i;
        }
    }
    grupe.push_back({v[ind], ind});
    dp[grupe.size() + 1] = 0;
    n++;
    for(i = grupe.size() ; i >= 1; i--){
        update(1, 1, n, {grupe[i - 1].first, dp[i + 1]});
        dp[i] = query(1, 1, n, (n - grupe[i - 1].second + 1 - 1));
    }
    cout << dp[1];
    return 0;
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 37 ms 62956 KB Output is correct
2 Correct 36 ms 62956 KB Output is correct
3 Correct 36 ms 63084 KB Output is correct
4 Correct 37 ms 62956 KB Output is correct
5 Correct 36 ms 62956 KB Output is correct
6 Correct 39 ms 62956 KB Output is correct
7 Correct 39 ms 62956 KB Output is correct
8 Correct 36 ms 62956 KB Output is correct
9 Correct 36 ms 63084 KB Output is correct
10 Correct 38 ms 62956 KB Output is correct
11 Correct 39 ms 62956 KB Output is correct
12 Correct 42 ms 62956 KB Output is correct
13 Correct 37 ms 62992 KB Output is correct
14 Correct 37 ms 62976 KB Output is correct

Subtask #2
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 37 ms 63084 KB Output is correct
2 Correct 37 ms 63084 KB Output is correct
3 Correct 37 ms 63084 KB Output is correct
4 Correct 38 ms 63084 KB Output is correct
5 Correct 37 ms 63084 KB Output is correct
6 Correct 38 ms 63160 KB Output is correct
7 Correct 37 ms 63084 KB Output is correct
8 Correct 37 ms 63084 KB Output is correct
9 Correct 37 ms 63084 KB Output is correct
10 Correct 37 ms 63084 KB Output is correct
11 Correct 38 ms 63084 KB Output is correct
12 Correct 37 ms 63084 KB Output is correct
13 Correct 36 ms 63044 KB Output is correct
14 Correct 37 ms 63104 KB Output is correct
15 Correct 38 ms 63096 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 37 ms 63084 KB Output is correct
2 Correct 37 ms 63084 KB Output is correct
3 Correct 37 ms 63084 KB Output is correct
4 Correct 38 ms 63084 KB Output is correct
5 Correct 37 ms 63084 KB Output is correct
6 Correct 38 ms 63160 KB Output is correct
7 Correct 37 ms 63084 KB Output is correct
8 Correct 37 ms 63084 KB Output is correct
9 Correct 37 ms 63084 KB Output is correct
10 Correct 37 ms 63084 KB Output is correct
11 Correct 38 ms 63084 KB Output is correct
12 Correct 37 ms 63084 KB Output is correct
13 Correct 36 ms 63044 KB Output is correct
14 Correct 37 ms 63104 KB Output is correct
15 Correct 38 ms 63096 KB Output is correct
16 Correct 225 ms 81692 KB Output is correct
17 Correct 238 ms 83152 KB Output is correct
18 Correct 211 ms 80476 KB Output is correct
19 Correct 278 ms 83024 KB Output is correct
20 Correct 242 ms 84304 KB Output is correct
21 Correct 260 ms 83280 KB Output is correct
22 Correct 226 ms 82256 KB Output is correct
23 Correct 276 ms 88528 KB Output is correct
24 Correct 259 ms 89040 KB Output is correct
25 Correct 260 ms 89040 KB Output is correct
26 Correct 293 ms 88016 KB Output is correct
27 Correct 236 ms 80848 KB Output is correct
28 Correct 237 ms 83712 KB Output is correct
29 Correct 259 ms 88912 KB Output is correct
30 Correct 287 ms 88272 KB Output is correct

Subtask #4
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 149 ms 72312 KB Output is correct
2 Correct 154 ms 72556 KB Output is correct
3 Correct 150 ms 72556 KB Output is correct
4 Correct 150 ms 72556 KB Output is correct
5 Correct 151 ms 72512 KB Output is correct
6 Correct 150 ms 72684 KB Output is correct
7 Correct 151 ms 72624 KB Output is correct
8 Correct 153 ms 72684 KB Output is correct
9 Correct 149 ms 72532 KB Output is correct
10 Correct 148 ms 72652 KB Output is correct

Subtask #5
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 37 ms 62956 KB Output is correct
2 Correct 36 ms 62956 KB Output is correct
3 Correct 36 ms 63084 KB Output is correct
4 Correct 37 ms 62956 KB Output is correct
5 Correct 36 ms 62956 KB Output is correct
6 Correct 39 ms 62956 KB Output is correct
7 Correct 39 ms 62956 KB Output is correct
8 Correct 36 ms 62956 KB Output is correct
9 Correct 36 ms 63084 KB Output is correct
10 Correct 38 ms 62956 KB Output is correct
11 Correct 39 ms 62956 KB Output is correct
12 Correct 42 ms 62956 KB Output is correct
13 Correct 37 ms 62992 KB Output is correct
14 Correct 37 ms 62976 KB Output is correct
15 Correct 37 ms 63084 KB Output is correct
16 Correct 37 ms 63084 KB Output is correct
17 Correct 37 ms 63084 KB Output is correct
18 Correct 38 ms 63084 KB Output is correct
19 Correct 37 ms 63084 KB Output is correct
20 Correct 38 ms 63160 KB Output is correct
21 Correct 37 ms 63084 KB Output is correct
22 Correct 37 ms 63084 KB Output is correct
23 Correct 37 ms 63084 KB Output is correct
24 Correct 37 ms 63084 KB Output is correct
25 Correct 38 ms 63084 KB Output is correct
26 Correct 37 ms 63084 KB Output is correct
27 Correct 36 ms 63044 KB Output is correct
28 Correct 37 ms 63104 KB Output is correct
29 Correct 38 ms 63096 KB Output is correct
30 Correct 37 ms 62956 KB Output is correct
31 Correct 37 ms 62956 KB Output is correct
32 Correct 37 ms 62956 KB Output is correct
33 Correct 37 ms 62956 KB Output is correct
34 Correct 37 ms 62956 KB Output is correct
35 Correct 37 ms 62956 KB Output is correct
36 Correct 36 ms 62956 KB Output is correct
37 Correct 36 ms 62956 KB Output is correct
38 Correct 37 ms 62956 KB Output is correct
39 Correct 36 ms 62956 KB Output is correct
40 Correct 36 ms 62956 KB Output is correct
41 Correct 36 ms 62956 KB Output is correct
42 Correct 37 ms 62956 KB Output is correct
43 Correct 37 ms 63084 KB Output is correct
44 Correct 37 ms 62956 KB Output is correct
45 Correct 37 ms 62956 KB Output is correct
46 Correct 37 ms 62956 KB Output is correct
47 Correct 39 ms 62956 KB Output is correct
48 Correct 37 ms 62956 KB Output is correct
49 Correct 37 ms 62956 KB Output is correct
50 Correct 37 ms 62956 KB Output is correct

Subtask #6
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 37 ms 62956 KB Output is correct
2 Correct 36 ms 62956 KB Output is correct
3 Correct 36 ms 63084 KB Output is correct
4 Correct 37 ms 62956 KB Output is correct
5 Correct 36 ms 62956 KB Output is correct
6 Correct 39 ms 62956 KB Output is correct
7 Correct 39 ms 62956 KB Output is correct
8 Correct 36 ms 62956 KB Output is correct
9 Correct 36 ms 63084 KB Output is correct
10 Correct 38 ms 62956 KB Output is correct
11 Correct 39 ms 62956 KB Output is correct
12 Correct 42 ms 62956 KB Output is correct
13 Correct 37 ms 62992 KB Output is correct
14 Correct 37 ms 62976 KB Output is correct
15 Correct 37 ms 63084 KB Output is correct
16 Correct 37 ms 63084 KB Output is correct
17 Correct 37 ms 63084 KB Output is correct
18 Correct 38 ms 63084 KB Output is correct
19 Correct 37 ms 63084 KB Output is correct
20 Correct 38 ms 63160 KB Output is correct
21 Correct 37 ms 63084 KB Output is correct
22 Correct 37 ms 63084 KB Output is correct
23 Correct 37 ms 63084 KB Output is correct
24 Correct 37 ms 63084 KB Output is correct
25 Correct 38 ms 63084 KB Output is correct
26 Correct 37 ms 63084 KB Output is correct
27 Correct 36 ms 63044 KB Output is correct
28 Correct 37 ms 63104 KB Output is correct
29 Correct 38 ms 63096 KB Output is correct
30 Correct 225 ms 81692 KB Output is correct
31 Correct 238 ms 83152 KB Output is correct
32 Correct 211 ms 80476 KB Output is correct
33 Correct 278 ms 83024 KB Output is correct
34 Correct 242 ms 84304 KB Output is correct
35 Correct 260 ms 83280 KB Output is correct
36 Correct 226 ms 82256 KB Output is correct
37 Correct 276 ms 88528 KB Output is correct
38 Correct 259 ms 89040 KB Output is correct
39 Correct 260 ms 89040 KB Output is correct
40 Correct 293 ms 88016 KB Output is correct
41 Correct 236 ms 80848 KB Output is correct
42 Correct 237 ms 83712 KB Output is correct
43 Correct 259 ms 88912 KB Output is correct
44 Correct 287 ms 88272 KB Output is correct
45 Correct 149 ms 72312 KB Output is correct
46 Correct 154 ms 72556 KB Output is correct
47 Correct 150 ms 72556 KB Output is correct
48 Correct 150 ms 72556 KB Output is correct
49 Correct 151 ms 72512 KB Output is correct
50 Correct 150 ms 72684 KB Output is correct
51 Correct 151 ms 72624 KB Output is correct
52 Correct 153 ms 72684 KB Output is correct
53 Correct 149 ms 72532 KB Output is correct
54 Correct 148 ms 72652 KB Output is correct
55 Correct 37 ms 62956 KB Output is correct
56 Correct 37 ms 62956 KB Output is correct
57 Correct 37 ms 62956 KB Output is correct
58 Correct 37 ms 62956 KB Output is correct
59 Correct 37 ms 62956 KB Output is correct
60 Correct 37 ms 62956 KB Output is correct
61 Correct 36 ms 62956 KB Output is correct
62 Correct 36 ms 62956 KB Output is correct
63 Correct 37 ms 62956 KB Output is correct
64 Correct 36 ms 62956 KB Output is correct
65 Correct 36 ms 62956 KB Output is correct
66 Correct 36 ms 62956 KB Output is correct
67 Correct 37 ms 62956 KB Output is correct
68 Correct 37 ms 63084 KB Output is correct
69 Correct 37 ms 62956 KB Output is correct
70 Correct 37 ms 62956 KB Output is correct
71 Correct 37 ms 62956 KB Output is correct
72 Correct 39 ms 62956 KB Output is correct
73 Correct 37 ms 62956 KB Output is correct
74 Correct 37 ms 62956 KB Output is correct
75 Correct 37 ms 62956 KB Output is correct
76 Correct 129 ms 72428 KB Output is correct
77 Correct 130 ms 72428 KB Output is correct
78 Correct 126 ms 72556 KB Output is correct
79 Correct 127 ms 72556 KB Output is correct
80 Correct 134 ms 72428 KB Output is correct
81 Correct 126 ms 72556 KB Output is correct
82 Correct 125 ms 72556 KB Output is correct
83 Correct 128 ms 72428 KB Output is correct
84 Correct 127 ms 72556 KB Output is correct
85 Correct 131 ms 72576 KB Output is correct
86 Correct 126 ms 72556 KB Output is correct
87 Correct 125 ms 72556 KB Output is correct
88 Correct 125 ms 72480 KB Output is correct
89 Correct 127 ms 72464 KB Output is correct
90 Correct 125 ms 72556 KB Output is correct
91 Correct 124 ms 72556 KB Output is correct
92 Correct 251 ms 84968 KB Output is correct
93 Correct 232 ms 83152 KB Output is correct
94 Correct 124 ms 72300 KB Output is correct
95 Correct 130 ms 72044 KB Output is correct
96 Correct 123 ms 72116 KB Output is correct
97 Correct 127 ms 72044 KB Output is correct
98 Correct 127 ms 71916 KB Output is correct
99 Correct 125 ms 71660 KB Output is correct
100 Correct 128 ms 71532 KB Output is correct