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Submission #933946

# Submission time Handle Problem Language Result Execution time Memory
933946 2024-02-26T15:27:18 Z velislavgarkov Constellation 3 (JOI20_constellation3) C++14
100 / 100
 690 ms 84120 KB 
#include <iostream>
#include <algorithm>
#include <vector>
#include <unordered_map>
using namespace std;
struct Star {
    long long c;
    int x, y;
};
const int MAXN=2e5+10;
int n, m;
unordered_map <long long, int> um;
Star s[MAXN];
int a[MAXN], sp[MAXN][20], stepen[MAXN];
int in[MAXN], out[MAXN], in_tree[MAXN], cnt_in;
long long dp[MAXN], tree[4*MAXN];
vector <int> v[MAXN], zv[MAXN];
int cnt_tree;
void sparce_table() {
    for (int i=0;i<=n+1;i++) sp[i][0]=i;
    for (int i=1;(1<<i)<=n+2;i++) {
        for (int j=0;j+(1<<i)-1<=n+1;j++) {
            int i1=sp[j][i-1];
            int i2=sp[j + (1 << (i-1))][i-1];
            if (a[i1]>=a[i2]) sp[j][i]=i1;
            else sp[j][i]=i2;
        }
    }
    int cur_st=0;
    for (int i=1;i<=n+2;i++) {
        if ((1 << (cur_st+1))<i) cur_st++;
        stepen[i]=cur_st;
    }
}
int find_max(int l, int r) {
    if (l>r) return -1;
    int st=stepen[r-l+1];
    int i1, i2;
    i1=sp[l][st];
    i2=sp[r - (1 << st)+1][st];
    if (a[i1]>=a[i2]) return i1;
    return i2;
}
long long encode(long long l, long long r) {
    return l*((long long)n+2ll)+r;
}
void find_tree(int idx, int l, int r) {
    if (l+1>=r) return;
    um[encode(l,r)]=idx;
    cnt_in++;
    in[idx]=cnt_in;
    int cur_ind=find_max(l+1,r-1);
    int last=l, kopie=cur_ind;
    while (cur_ind!=-1 && a[cur_ind]==a[kopie]) {
        in_tree[cur_ind]=idx;
        if (last+1<cur_ind) {
            cnt_tree++;
            v[idx].push_back(cnt_tree);
            find_tree(cnt_tree,last,cur_ind);
        }
        last=cur_ind;
        cur_ind=find_max(cur_ind+1,r-1);
    }
    if (last+1<r) {
        cnt_tree++;
        v[idx].push_back(cnt_tree);
        find_tree(cnt_tree,last,r);
    }
    out[idx]=cnt_in;
}
void update(int node, int l, int r, int ql, int qr, long long ch) {
    if (ql>r || qr<l) return;
    if (l>=ql && r<=qr) {
        tree[node]+=ch;
        return;
    }
    int mid=(l+r)/2;
    update(node*2,l,mid,ql,qr,ch);
    update(node*2+1,mid+1,r,ql,qr,ch);
}
long long query(int node, int l, int r, int qind) {
    if (l==r) return tree[node];
    int mid=(l+r)/2;
    if (qind<=mid) return query(node*2,l,mid,qind)+tree[node];
    return query(node*2+1,mid+1,r,qind)+tree[node];
}
long long find_dist(int col, int par) {
    int x=in_tree[col];
    return query(1,1,cnt_in,in[x])-query(1,1,cnt_in,in[par]);
}
void find_dp(int x) {
    long long sum_ch=0;
    for (auto i:v[x]) {
        find_dp(i);
        sum_ch+=dp[i];
    }
    dp[x]=sum_ch;
    for (auto i:zv[x]) {
        dp[x]=max(dp[x],s[i].c+sum_ch+find_dist(s[i].x,x));
    }
    update(1,1,cnt_in,in[x],out[x],sum_ch-dp[x]);
}
int main () {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    cin >> n;
    for (int i=1;i<=n;i++) cin >> a[i];
    a[0]=a[n+1]=n+1;
    sparce_table();
    find_tree(0,0,n+1);
    long long sum_st=0;
    cin >> m;
    for (int i=0;i<m;i++) {
        cin >> s[i].x >> s[i].y >> s[i].c;
        sum_st+=s[i].c;
        int l, r, mid, grl, grr;
        l=0; r=s[i].x-1;
        while (l<=r) {
            mid=(l+r)/2;
            if (a[find_max(mid,s[i].x-1)]<s[i].y) r=mid-1;
            else l=mid+1;
        }
        grl=r;
        l=s[i].x+1; r=n+1;
        while (l<=r) {
            mid=(l+r)/2;
            if (a[find_max(s[i].x+1,mid)]<s[i].y) l=mid+1;
            else r=mid-1;
        }
        grr=l;
        zv[um[encode(grl,grr)]].push_back(i);
    }
    find_dp(0);
    cout << sum_st-dp[0] << endl;
    return 0;
}

Subtask #1
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 16976 KB Output is correct
2 Correct 3 ms 16988 KB Output is correct
3 Correct 3 ms 16988 KB Output is correct
4 Correct 3 ms 16988 KB Output is correct
5 Correct 3 ms 16988 KB Output is correct
6 Correct 4 ms 16988 KB Output is correct
7 Correct 4 ms 16988 KB Output is correct
8 Correct 3 ms 16988 KB Output is correct
9 Correct 4 ms 16988 KB Output is correct
10 Correct 3 ms 17052 KB Output is correct
11 Correct 4 ms 17080 KB Output is correct
12 Correct 5 ms 16988 KB Output is correct
13 Correct 4 ms 17048 KB Output is correct
14 Correct 3 ms 17240 KB Output is correct
15 Correct 3 ms 16988 KB Output is correct
16 Correct 3 ms 16988 KB Output is correct
17 Correct 3 ms 16988 KB Output is correct
18 Correct 3 ms 16988 KB Output is correct
19 Correct 4 ms 16988 KB Output is correct
20 Correct 3 ms 17084 KB Output is correct
21 Correct 3 ms 16988 KB Output is correct
22 Correct 3 ms 16984 KB Output is correct

Subtask #2
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 16976 KB Output is correct
2 Correct 3 ms 16988 KB Output is correct
3 Correct 3 ms 16988 KB Output is correct
4 Correct 3 ms 16988 KB Output is correct
5 Correct 3 ms 16988 KB Output is correct
6 Correct 4 ms 16988 KB Output is correct
7 Correct 4 ms 16988 KB Output is correct
8 Correct 3 ms 16988 KB Output is correct
9 Correct 4 ms 16988 KB Output is correct
10 Correct 3 ms 17052 KB Output is correct
11 Correct 4 ms 17080 KB Output is correct
12 Correct 5 ms 16988 KB Output is correct
13 Correct 4 ms 17048 KB Output is correct
14 Correct 3 ms 17240 KB Output is correct
15 Correct 3 ms 16988 KB Output is correct
16 Correct 3 ms 16988 KB Output is correct
17 Correct 3 ms 16988 KB Output is correct
18 Correct 3 ms 16988 KB Output is correct
19 Correct 4 ms 16988 KB Output is correct
20 Correct 3 ms 17084 KB Output is correct
21 Correct 3 ms 16988 KB Output is correct
22 Correct 3 ms 16984 KB Output is correct
23 Correct 5 ms 17496 KB Output is correct
24 Correct 6 ms 17244 KB Output is correct
25 Correct 5 ms 17244 KB Output is correct
26 Correct 5 ms 17244 KB Output is correct
27 Correct 6 ms 17244 KB Output is correct
28 Correct 5 ms 17244 KB Output is correct
29 Correct 7 ms 17244 KB Output is correct
30 Correct 5 ms 17244 KB Output is correct
31 Correct 7 ms 17244 KB Output is correct
32 Correct 5 ms 17244 KB Output is correct
33 Correct 5 ms 17244 KB Output is correct
34 Correct 5 ms 17320 KB Output is correct
35 Correct 9 ms 17244 KB Output is correct
36 Correct 4 ms 16988 KB Output is correct
37 Correct 5 ms 17080 KB Output is correct
38 Correct 5 ms 17500 KB Output is correct
39 Correct 5 ms 16988 KB Output is correct
40 Correct 6 ms 17324 KB Output is correct
41 Correct 5 ms 16984 KB Output is correct
42 Correct 6 ms 17212 KB Output is correct
43 Correct 5 ms 17244 KB Output is correct
44 Correct 6 ms 17080 KB Output is correct

Subtask #3
65.0 / 65.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 16976 KB Output is correct
2 Correct 3 ms 16988 KB Output is correct
3 Correct 3 ms 16988 KB Output is correct
4 Correct 3 ms 16988 KB Output is correct
5 Correct 3 ms 16988 KB Output is correct
6 Correct 4 ms 16988 KB Output is correct
7 Correct 4 ms 16988 KB Output is correct
8 Correct 3 ms 16988 KB Output is correct
9 Correct 4 ms 16988 KB Output is correct
10 Correct 3 ms 17052 KB Output is correct
11 Correct 4 ms 17080 KB Output is correct
12 Correct 5 ms 16988 KB Output is correct
13 Correct 4 ms 17048 KB Output is correct
14 Correct 3 ms 17240 KB Output is correct
15 Correct 3 ms 16988 KB Output is correct
16 Correct 3 ms 16988 KB Output is correct
17 Correct 3 ms 16988 KB Output is correct
18 Correct 3 ms 16988 KB Output is correct
19 Correct 4 ms 16988 KB Output is correct
20 Correct 3 ms 17084 KB Output is correct
21 Correct 3 ms 16988 KB Output is correct
22 Correct 3 ms 16984 KB Output is correct
23 Correct 5 ms 17496 KB Output is correct
24 Correct 6 ms 17244 KB Output is correct
25 Correct 5 ms 17244 KB Output is correct
26 Correct 5 ms 17244 KB Output is correct
27 Correct 6 ms 17244 KB Output is correct
28 Correct 5 ms 17244 KB Output is correct
29 Correct 7 ms 17244 KB Output is correct
30 Correct 5 ms 17244 KB Output is correct
31 Correct 7 ms 17244 KB Output is correct
32 Correct 5 ms 17244 KB Output is correct
33 Correct 5 ms 17244 KB Output is correct
34 Correct 5 ms 17320 KB Output is correct
35 Correct 9 ms 17244 KB Output is correct
36 Correct 4 ms 16988 KB Output is correct
37 Correct 5 ms 17080 KB Output is correct
38 Correct 5 ms 17500 KB Output is correct
39 Correct 5 ms 16988 KB Output is correct
40 Correct 6 ms 17324 KB Output is correct
41 Correct 5 ms 16984 KB Output is correct
42 Correct 6 ms 17212 KB Output is correct
43 Correct 5 ms 17244 KB Output is correct
44 Correct 6 ms 17080 KB Output is correct
45 Correct 622 ms 61820 KB Output is correct
46 Correct 512 ms 61816 KB Output is correct
47 Correct 563 ms 61824 KB Output is correct
48 Correct 530 ms 61580 KB Output is correct
49 Correct 530 ms 60404 KB Output is correct
50 Correct 534 ms 60284 KB Output is correct
51 Correct 523 ms 61272 KB Output is correct
52 Correct 563 ms 61976 KB Output is correct
53 Correct 584 ms 61728 KB Output is correct
54 Correct 690 ms 76204 KB Output is correct
55 Correct 660 ms 71528 KB Output is correct
56 Correct 650 ms 68976 KB Output is correct
57 Correct 637 ms 67448 KB Output is correct
58 Correct 374 ms 41720 KB Output is correct
59 Correct 343 ms 42100 KB Output is correct
60 Correct 194 ms 84120 KB Output is correct
61 Correct 459 ms 54956 KB Output is correct
62 Correct 627 ms 72900 KB Output is correct
63 Correct 390 ms 50684 KB Output is correct
64 Correct 405 ms 52208 KB Output is correct
65 Correct 606 ms 72844 KB Output is correct
66 Correct 443 ms 50676 KB Output is correct