CSES - Aalto Competitive Programming 2024 - wk8 - Wed - Results
Submission details
Task:Trading NFTs
Sender:aalto2024i_006
Submission time:2024-10-30 17:00:17 +0200
Language:C++ (C++20)
Status:READY
Result:ACCEPTED
Test results
testverdicttime
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Code

#pragma GCC optimize("O3","unroll-loops")
#pragma GCC target("avx2,bmi,bmi2,popcnt,lzcnt")

#include <bits/stdc++.h>
using namespace std;

#define int long long
#define rep(i, a, b) for(int i = a; i < (b); ++i)
#define all(x) begin(x), end(x)
#define sz(x) (int)(x).size()
typedef long long ll;
typedef pair<int, int> pii;
typedef vector<int> vi;

string to_string(string s) {
    return '"' + s + '"';
}
 
string to_string(const char* s) {
    return to_string((string) s);
}
 
string to_string(bool b) {
    return (b ? "true" : "false");
}
 
template <typename A, typename B>
string to_string(pair<A, B> p) {
    return "(" + to_string(p.first) + ", " + to_string(p.second) + ")";
}
 
template <typename A>
string to_string(A v) {
    bool first = true;
    string res = "{";
    for (const auto &x : v) {
        if (!first) {
            res += ", ";
        }
        first = false;
        res += to_string(x);
    }
    res += "}";
    return res;
}
 
void debug_out() {
    cerr << endl;
}
 
template <typename Head, typename... Tail>
void debug_out(Head H, Tail... T) {
    cerr << " " << to_string(H);
    debug_out(T...);
}
 
#ifdef LOCAL
#define debug(...) cerr << "[" << #__VA_ARGS__ << "]:", debug_out(__VA_ARGS__)
#else
#define debug(...) 42
#endif

struct Tree {
    typedef int T;
    static constexpr T unit = INT_MIN;
    T f(T a, T b) { return max(a, b); } // (any associative fn)
    vector<T> s; int n;
    Tree(int n = 0, T def = unit) : s(2*n, def), n(n) {}
    void update(int pos, T val) {
        for (s[pos += n] = val; pos /= 2;)
            s[pos] = f(s[pos * 2], s[pos * 2 + 1]);
    }
    T query(int b, int e) { // query [b, e)
        T ra = unit, rb = unit;
        for (b += n, e += n; b < e; b /= 2, e /= 2) {
            if (b % 2) ra = f(ra, s[b++]);
            if (e % 2) rb = f(s[--e], rb);
        }
        return f(ra, rb);
    }
};

signed main() {
    cin.tie(0)->sync_with_stdio(0);
    cin.exceptions(cin.failbit); // RTE if input wrong datatype

    int n;
    cin >> n;

    vi a(n);
    for (int i = 0; i < n; i++) {
        cin >> a[i];
    }

    Tree seg(n);
    vi dp(n);
    int mx = 0;
    for (int i = 0; i < n; i++) {
        dp[i] = max(mx, seg.query(0, i) + a[i]);
        mx = max(mx, dp[i]);
        seg.update(i, dp[i] - a[i]);
    }

    cout << mx << '\n';
}

Test details

Test 1

Verdict: ACCEPTED

input
1

correct output
0

user output
0

Test 2

Verdict: ACCEPTED

input
2
6 9 

correct output
3

user output
3

Test 3

Verdict: ACCEPTED

input
2
7 3 

correct output
0

user output
0

Test 4

Verdict: ACCEPTED

input
3
8 8 3 

correct output
0

user output
0

Test 5

Verdict: ACCEPTED

input
3
7 7 3 

correct output
0

user output
0

Test 6

Verdict: ACCEPTED

input
4
3 4 10 0 

correct output
7

user output
7

Test 7

Verdict: ACCEPTED

input
4
6 2 1 7 

correct output
6

user output
6

Test 8

Verdict: ACCEPTED

input
4
7 10 10 5 

correct output
3

user output
3

Test 9

Verdict: ACCEPTED

input
4
7 6 3 1 

correct output
0

user output
0

Test 10

Verdict: ACCEPTED

input
5
6 6 7 9 6 

correct output
3

user output
3

Test 11

Verdict: ACCEPTED

input
5
10 4 7 10 0 

correct output
6

user output
6

Test 12

Verdict: ACCEPTED

input
5
4 2 0 10 6 

correct output
10

user output
10

Test 13

Verdict: ACCEPTED

input
5
7 6 0 3 9 

correct output
9

user output
9

Test 14

Verdict: ACCEPTED

input
5
10 9 6 1 10 

correct output
9

user output
9

Test 15

Verdict: ACCEPTED

input
5
9 9 2 2 0 

correct output
0

user output
0

Test 16

Verdict: ACCEPTED

input
5
9 10 2 3 9 

correct output
8

user output
8

Test 17

Verdict: ACCEPTED

input
5
0 2 8 3 4 

correct output
9

user output
9

Test 18

Verdict: ACCEPTED

input
5
10 9 0 2 9 

correct output
9

user output
9

Test 19

Verdict: ACCEPTED

input
5
0 4 5 5 5 

correct output
5

user output
5

Test 20

Verdict: ACCEPTED

input
10
6 6 7 9 6 9 5 9 4 6 

correct output
12

user output
12

Test 21

Verdict: ACCEPTED

input
10
4 7 10 10 0 1 3 1 2 10 

correct output
18

user output
18

Test 22

Verdict: ACCEPTED

input
10
2 4 10 10 6 5 4 0 4 3 

correct output
12

user output
12

Test 23

Verdict: ACCEPTED

input
10
6 0 7 9 3 1 5 6 9 4 

correct output
17

user output
17

Test 24

Verdict: ACCEPTED

input
10
10 9 1 6 6 7 7 9 10 6 

correct output
9

user output
9

Test 25

Verdict: ACCEPTED

input
10
2 0 9 9 2 4 10 10 5 0 

correct output
17

user output
17

Test 26

Verdict: ACCEPTED

input
10
9 0 0 2 3 9 10 1 4 10 

correct output
19

user output
19

Test 27

Verdict: ACCEPTED

input
10
8 2 0 3 4 7 10 5 10 3 

correct output
15

user output
15

Test 28

Verdict: ACCEPTED

input
10
0 2 4 5 9 9 10 2 4 8 

correct output
16

user output
16

Test 29

Verdict: ACCEPTED

input
10
0 0 1 1 3 4 5 5 5 0 

correct output
5

user output
5

Test 30

Verdict: ACCEPTED

input
100
21709340 60895094 76274387 935...

correct output
972142477

user output
972142477

Test 31

Verdict: ACCEPTED

input
100
122815 99147812 137572578 1575...

correct output
4604249565

user output
4604249565

Test 32

Verdict: ACCEPTED

input
100
27838075 198730371 467423860 4...

correct output
5968879174

user output
5968879174

Test 33

Verdict: ACCEPTED

input
100
980649967 962387378 958794495 ...

correct output
3338942575

user output
3338942575

Test 34

Verdict: ACCEPTED

input
100
587586157 967034923 969780558 ...

correct output
3901827208

user output
3901827208

Test 35

Verdict: ACCEPTED

input
100
59249203 221963001 238363352 3...

correct output
5618403578

user output
5618403578

Test 36

Verdict: ACCEPTED

input
100
958701282 356460600 224848373 ...

correct output
13822815556

user output
13822815556

Test 37

Verdict: ACCEPTED

input
100
17083618 26735341 70798610 773...

correct output
3327534770

user output
3327534770

Test 38

Verdict: ACCEPTED

input
100
937837680 11934037 257096282 9...

correct output
15276203568

user output
15276203568

Test 39

Verdict: ACCEPTED

input
100
8099342 11139167 14304400 4160...

correct output
3600585409

user output
3600585409

Test 40

Verdict: ACCEPTED

input
200
589284011 636562059 767928733 ...

correct output
33586949170

user output
33586949170

Test 41

Verdict: ACCEPTED

input
200
447773961 773442531 122815 137...

correct output
32881219020

user output
32881219020

Test 42

Verdict: ACCEPTED

input
200
27838075 165814380 198730371 2...

correct output
8854147317

user output
8854147317

Test 43

Verdict: ACCEPTED

input
200
591414746 75940262 760367934 9...

correct output
29427504978

user output
29427504978

Test 44

Verdict: ACCEPTED

input
200
967034923 918715994 767527829 ...

correct output
10337652892

user output
10337652892

Test 45

Verdict: ACCEPTED

input
200
995683002 995017887 993902125 ...

correct output
2165105185

user output
2165105185

Test 46

Verdict: ACCEPTED

input
200
958701282 886061723 881788058 ...

correct output
2469034633

user output
2469034633

Test 47

Verdict: ACCEPTED

input
200
81935403 244103473 837431430 3...

correct output
29954939049

user output
29954939049

Test 48

Verdict: ACCEPTED

input
200
937837680 11934037 257096282 9...

correct output
31589834039

user output
31589834039

Test 49

Verdict: ACCEPTED

input
200
998298460 993451116 993426019 ...

correct output
1492242772

user output
1492242772

Test 50

Verdict: ACCEPTED

input
1000
921212094 909729625 906523440 ...

correct output
53453101665

user output
53453101665

Test 51

Verdict: ACCEPTED

input
1000
447773961 773442531 122815 137...

correct output
168890114732

user output
168890114732

Test 52

Verdict: ACCEPTED

input
1000
916948986 908988479 878564253 ...

correct output
4480030569

user output
4480030569

Test 53

Verdict: ACCEPTED

input
1000
999247240 996968045 996364069 ...

correct output
4201826090

user output
4201826090

Test 54

Verdict: ACCEPTED

input
1000
967034923 587586157 185430193 ...

correct output
165301071885

user output
165301071885

Test 55

Verdict: ACCEPTED

input
1000
238363352 59249203 934941691 8...

correct output
164615942063

user output
164615942063

Test 56

Verdict: ACCEPTED

input
1000
958701282 881788058 653343571 ...

correct output
56392971596

user output
56392971596

Test 57

Verdict: ACCEPTED

input
1000
81935403 244103473 837431430 3...

correct output
160939345542

user output
160939345542

Test 58

Verdict: ACCEPTED

input
1000
937837680 933290529 876668628 ...

correct output
3903860846

user output
3903860846

Test 59

Verdict: ACCEPTED

input
1000
11139167 391337047 538883743 5...

correct output
177362129341

user output
177362129341

Test 60

Verdict: ACCEPTED

input
100000
589284011 636562059 767928733 ...

correct output
16723625891645

user output
16723625891645

Test 61

Verdict: ACCEPTED

input
100000
999962171 999912371 999862119 ...

correct output
9220956790

user output
9220956790

Test 62

Verdict: ACCEPTED

input
100000
26016 76911 117593 132697 1908...

correct output
6853130410

user output
6853130410

Test 63

Verdict: ACCEPTED

input
100000
591414746 75940262 760367934 9...

correct output
16637307295604

user output
16637307295604

Test 64

Verdict: ACCEPTED

input
100000
967034923 587586157 185430193 ...

correct output
16655555368186

user output
16655555368186