oj.uz

Submission #564156

# Submission time Handle Problem Language Result Execution time Memory
564156 2022-05-18T15:54:28 Z wiwiho Sightseeing in Kyoto (JOI22_kyoto) C++14
100 / 100
 52 ms 4680 KB 
#include <bits/stdc++.h>
#include <bits/extc++.h>

#define StarBurstStream ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0);
#define iter(a) a.begin(), a.end()
#define riter(a) a.rbegin(), a.rend()
#define lsort(a) sort(iter(a))
#define gsort(a) sort(riter(a))
#define pb(a) push_back(a)
#define eb(a) emplace_back(a)
#define pf(a) push_front(a)
#define ef(a) emplace_front(a)
#define pob pop_back()
#define pof pop_front()
#define mp(a, b) make_pair(a, b)
#define F first
#define S second
#define mt make_tuple
#define gt(t, i) get<i>(t)
#define tomax(a, b) ((a) = max((a), (b)))
#define tomin(a, b) ((a) = min((a), (b)))
#define topos(a) ((a) = (((a) % MOD + MOD) % MOD))
#define uni(a) a.resize(unique(iter(a)) - a.begin())
#define printv(a, b) {bool pvaspace=false; \
for(auto pva : a){ \
    if(pvaspace) b << " "; pvaspace=true;\
    b << pva;\
}\
b << "\n";}

using namespace std;
using namespace __gnu_pbds;

typedef long long ll;
typedef unsigned long long ull;
typedef long double ld;

using pii = pair<int, int>;
using pll = pair<ll, ll>;
using pdd = pair<ld, ld>;
using tiii = tuple<int, int, int>;

const ll MOD = 1000000007;
const ll MAX = 2147483647;

template<typename A, typename B>
ostream& operator<<(ostream& o, pair<A, B> p){
    return o << '(' << p.F << ',' << p.S << ')';
}

ll ifloor(ll a, ll b){
    if(b < 0) a *= -1, b *= -1;
    if(a < 0) return (a - b + 1) / b;
    else return a / b;
}

ll iceil(ll a, ll b){
    if(b < 0) a *= -1, b *= -1;
    if(a > 0) return (a + b - 1) / b;
    else return a / b;
}

pll operator-(pll a, pll b){
    return mp(a.F - b.F, a.S - b.S);
}

ll cross(pll a, pll b){
    return a.F * b.S - a.S * b.F;
}

struct info{
    ll y, from, v;
};

ostream& operator<<(ostream& o, info i){
    return o << '(' << i.y << ',' << i.from << ',' << i.v << ')';
}

int main(){
    StarBurstStream

    int n, m;
    cin >> n >> m;

    vector<pll> a(1), b(1);
    for(int i = 1; i <= n; i++){
        pll p; p.F = i;
        cin >> p.S;
        while(a.size() >= 3 && cross(a.back() - a[a.size() - 2], p - a[a.size() - 2]) <= 0){
            a.pob;
        }
        a.eb(p);
    }
    for(int i = 1; i <= m; i++){
        pll p; p.F = i;
        cin >> p.S;
        while(b.size() >= 3 && cross(b.back() - b[b.size() - 2], p - b[b.size() - 2]) <= 0){
            b.pob;
        }
        b.eb(p);
    }
    //printv(a, cerr);
    //printv(b, cerr);

    vector<info> d;
    n = a.size(); m = b.size();
    n--; m--;
    d.eb(info({2, 1, a[1].S}));

    /*vector<vector<ll>> dp(n + 1, vector<ll>(m + 1, MAX));
    dp[1][1] = 0;
    for(int i = 1; i <= n; i++){
        for(int j = 1; j <= m; j++){
            if(i == 1 && j == 1) continue;
            dp[i][j] = min(dp[i - 1][j] + b[j].S * (a[i].F - a[i - 1].F), dp[i][j - 1] + a[i].S * (b[j].F - b[j - 1].F));
        }
        printv(dp[i], cerr);
    }*/

    auto calc = [&](int x, int y){
        int l = 0, r = (int)d.size() - 1;
        while(l < r){
            int mid = (l + r + 1) / 2;
            if(d[mid].y > y) r = mid - 1;
            else l = mid;
        }
        info t = d[l];
        ll p = t.v * (b[y].F - b[y - 1].F) + (b[y].S - b[y - 1].S) * (a[x].F - a[t.from].F);
        return mp(p, b[y].F - b[y - 1].F);
    };

    for(int i = 2; i <= n; i++){
        /*cerr << "before " << i << "\n";
        for(int j = 2; j <= m; j++) cerr << calc(i, j) << " ";
        cerr << "\n";*/
        int l = 2, r = m;
        while(l < r){
            int mid = (l + r) / 2;
            pll t = calc(i, mid);
            if(t.F >= a[i].S * t.S) r = mid;
            else l = mid + 1;
        }
        pll t = calc(i, l);
        if(t.F >= a[i].S * t.S){
            while(!d.empty() && d.back().y >= l) d.pob;
            d.eb(info({l, i, a[i].S}));
        }
        /*cerr << "ok " << i << "\n";
        for(int j = 2; j <= m; j++) cerr << calc(i, j) << " ";
        cerr << "\n";
        printv(d, cerr);*/
    }

    ll ans = b[1].S * (a[n].F - 1);
    for(int i = 2; i <= m; i++){
        pll t = calc(n, i);
        ans += t.F;
    }
    cout << ans << "\n";

    return 0;
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 336 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
22 Correct 0 ms 212 KB Output is correct
23 Correct 1 ms 212 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 0 ms 212 KB Output is correct
26 Correct 1 ms 212 KB Output is correct
27 Correct 1 ms 212 KB Output is correct
28 Correct 1 ms 212 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 328 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 6 ms 596 KB Output is correct
5 Correct 7 ms 588 KB Output is correct
6 Correct 3 ms 340 KB Output is correct
7 Correct 18 ms 932 KB Output is correct
8 Correct 17 ms 1108 KB Output is correct
9 Correct 16 ms 980 KB Output is correct
10 Correct 16 ms 900 KB Output is correct
11 Correct 14 ms 980 KB Output is correct
12 Correct 16 ms 964 KB Output is correct
13 Correct 15 ms 1048 KB Output is correct
14 Correct 15 ms 1016 KB Output is correct
15 Correct 16 ms 1236 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 1 ms 316 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 1 ms 316 KB Output is correct
21 Correct 0 ms 212 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 1 ms 320 KB Output is correct
24 Correct 1 ms 380 KB Output is correct
25 Correct 1 ms 212 KB Output is correct
26 Correct 1 ms 320 KB Output is correct

Subtask #3
60.0 / 60.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 336 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
22 Correct 0 ms 212 KB Output is correct
23 Correct 1 ms 212 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 0 ms 212 KB Output is correct
26 Correct 1 ms 212 KB Output is correct
27 Correct 1 ms 212 KB Output is correct
28 Correct 1 ms 212 KB Output is correct
29 Correct 1 ms 328 KB Output is correct
30 Correct 1 ms 212 KB Output is correct
31 Correct 1 ms 212 KB Output is correct
32 Correct 6 ms 596 KB Output is correct
33 Correct 7 ms 588 KB Output is correct
34 Correct 3 ms 340 KB Output is correct
35 Correct 18 ms 932 KB Output is correct
36 Correct 17 ms 1108 KB Output is correct
37 Correct 16 ms 980 KB Output is correct
38 Correct 16 ms 900 KB Output is correct
39 Correct 14 ms 980 KB Output is correct
40 Correct 16 ms 964 KB Output is correct
41 Correct 15 ms 1048 KB Output is correct
42 Correct 15 ms 1016 KB Output is correct
43 Correct 16 ms 1236 KB Output is correct
44 Correct 0 ms 212 KB Output is correct
45 Correct 1 ms 212 KB Output is correct
46 Correct 1 ms 316 KB Output is correct
47 Correct 1 ms 212 KB Output is correct
48 Correct 1 ms 316 KB Output is correct
49 Correct 0 ms 212 KB Output is correct
50 Correct 1 ms 212 KB Output is correct
51 Correct 1 ms 320 KB Output is correct
52 Correct 1 ms 380 KB Output is correct
53 Correct 1 ms 212 KB Output is correct
54 Correct 1 ms 320 KB Output is correct
55 Correct 11 ms 1096 KB Output is correct
56 Correct 1 ms 212 KB Output is correct
57 Correct 2 ms 328 KB Output is correct
58 Correct 4 ms 468 KB Output is correct
59 Correct 25 ms 2116 KB Output is correct
60 Correct 24 ms 1944 KB Output is correct
61 Correct 27 ms 1748 KB Output is correct
62 Correct 25 ms 1952 KB Output is correct
63 Correct 52 ms 4680 KB Output is correct
64 Correct 24 ms 2008 KB Output is correct
65 Correct 24 ms 2156 KB Output is correct
66 Correct 23 ms 2120 KB Output is correct
67 Correct 27 ms 1432 KB Output is correct