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Submission #1049384

# Submission time Handle Problem Language Result Execution time Memory
1049384 2024-08-08T17:47:16 Z PoonYaPat Diversity (CEOI21_diversity) C++14
64 / 100
 7000 ms 245964 KB 
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<int,int> pii;

//sl : increase from l
//sr : increase from r

const int mx=300000,MID=150000,sq=200;

struct NN {
    ll sum,sl,sr,cnt;
} s[1<<22];

int ccnt[mx+5],posi[mx+5],num[mx+5];

NN merge(NN a, NN b) {
    NN res;
    res.sum=a.sum+b.sum;
    res.cnt=a.cnt+b.cnt;
    res.sl=a.sl+a.cnt*b.sum+b.sl;
    res.sr=b.sr+b.cnt*a.sum+a.sr;
    return res;
}

void update(int l, int r, int idx, int x) {
    if (x>r || x<l) return;
    if (l==r) s[idx]={ccnt[l],ccnt[l],ccnt[l],1};
    else {
        int mid=(l+r)/2;
        update(l,mid,2*idx,x);
        update(mid+1,r,2*idx+1,x);
        s[idx]=merge(s[2*idx],s[2*idx+1]);
    }
}

NN query(int l, int r, int idx, int x, int y) {
    if (x>r || y<l) return {0,0,0,0};
    if (x<=l && r<=y) return s[idx];
    int mid=(l+r)/2;
    return merge(query(l,mid,2*idx,x,y),query(mid+1,r,2*idx+1,x,y));
}

int level[mx+5],have[mx+5],idx_seq=-1; //range of box that has been used
vector<int> seq;
deque<int> dq[mx+5];

ll ans=0;

void sw(int a, int b) {
    swap(num[a],num[b]);
    posi[num[a]]=a;
    posi[num[b]]=b;
}

void add(int val) {

    if (!have[val]) {
        
        ++idx_seq;
        int pos=seq[idx_seq]; //the position of the seg-tree to be added
        ccnt[pos]=1;
        posi[val]=pos;
        num[pos]=val;
        update(1,mx,1,pos);
        dq[1].push_back(pos);
        ans+=query(1,mx,1,1,pos).sr+query(1,mx,1,pos,mx).sl-ccnt[pos];

    } else {

        int pos=posi[val], cnt=ccnt[pos]; //increase from cnt to cnt+1
        int max_pos=dq[cnt].front();
        sw(pos,max_pos);

        //increase from cnt to cnt+1
        dq[cnt].pop_front();
        dq[cnt+1].push_back(max_pos);
        ++ccnt[max_pos];
        update(1,mx,1,max_pos);
        ans+=query(1,mx,1,1,max_pos).sr+query(1,mx,1,max_pos,mx).sl-ccnt[max_pos];
    }

    ++have[val];
}

void del(int val) {

    int pos=posi[val], cnt=ccnt[pos];
    int min_pos=dq[cnt].back();
    sw(pos,min_pos);

    ans-=(query(1,mx,1,1,min_pos).sr+query(1,mx,1,min_pos,mx).sl-ccnt[min_pos]);
    dq[cnt].pop_back();

    if (cnt==1) --idx_seq;
    else dq[cnt-1].push_front(min_pos);

    --ccnt[min_pos];
    update(1,mx,1,min_pos);

    --have[val];
}

int n,q,a[mx+5];

struct Query {
    int l,r,idx;
    bool operator<(Query other) const {
        return pii(l/sq,r)<pii(other.l/sq,other.r);
    }
};

vector<Query> ques;
ll Ans[50005];

int main() {
    ios_base::sync_with_stdio(0); cin.tie(0);
    int ll=MID,rr=MID;
    level[MID]=0;
    seq.push_back(MID);
    for (int i=1; i<mx; ++i) {
        if (i%2==0) level[--ll]=i, seq.push_back(ll);
        else level[++rr]=i, seq.push_back(rr);
    }

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

    for (int i=0; i<q; ++i) {
        int l,r; cin>>l>>r;
        ques.push_back({--l,--r,i});
    }

    sort(ques.begin(),ques.end());

    int cur_l=0;
    int cur_r=-1;

    for (auto q : ques) {
        while (cur_l>q.l) add(a[--cur_l]);
        while (cur_r<q.r) add(a[++cur_r]);
        while (cur_l<q.l) del(a[cur_l++]);
        while (cur_r>q.r) del(a[cur_r--]);
        Ans[q.idx]=ans;
    }

    for (int i=0; i<q; ++i) cout<<Ans[i]<<"\n";
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 76 ms 219072 KB Output is correct
2 Correct 71 ms 221216 KB Output is correct
3 Correct 69 ms 221124 KB Output is correct
4 Correct 74 ms 221120 KB Output is correct
5 Correct 91 ms 221120 KB Output is correct
6 Correct 85 ms 221252 KB Output is correct
7 Correct 68 ms 221124 KB Output is correct
8 Correct 74 ms 221124 KB Output is correct
9 Correct 78 ms 221184 KB Output is correct
10 Correct 86 ms 221096 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 75 ms 221120 KB Output is correct
2 Correct 75 ms 221120 KB Output is correct
3 Correct 76 ms 221120 KB Output is correct
4 Correct 109 ms 221380 KB Output is correct
5 Correct 170 ms 221548 KB Output is correct
6 Correct 180 ms 221760 KB Output is correct
7 Correct 183 ms 221632 KB Output is correct
8 Correct 192 ms 221636 KB Output is correct
9 Correct 188 ms 221636 KB Output is correct
10 Correct 184 ms 221636 KB Output is correct
11 Correct 194 ms 221644 KB Output is correct
12 Correct 189 ms 221636 KB Output is correct
13 Correct 187 ms 221636 KB Output is correct
14 Correct 185 ms 221636 KB Output is correct
15 Correct 190 ms 221636 KB Output is correct

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 75 ms 221120 KB Output is correct
2 Correct 75 ms 221120 KB Output is correct
3 Correct 76 ms 221120 KB Output is correct
4 Correct 109 ms 221380 KB Output is correct
5 Correct 170 ms 221548 KB Output is correct
6 Correct 180 ms 221760 KB Output is correct
7 Correct 183 ms 221632 KB Output is correct
8 Correct 192 ms 221636 KB Output is correct
9 Correct 188 ms 221636 KB Output is correct
10 Correct 184 ms 221636 KB Output is correct
11 Correct 194 ms 221644 KB Output is correct
12 Correct 189 ms 221636 KB Output is correct
13 Correct 187 ms 221636 KB Output is correct
14 Correct 185 ms 221636 KB Output is correct
15 Correct 190 ms 221636 KB Output is correct
16 Correct 72 ms 221120 KB Output is correct
17 Correct 65 ms 221120 KB Output is correct
18 Correct 80 ms 221120 KB Output is correct
19 Correct 119 ms 221348 KB Output is correct
20 Correct 151 ms 221624 KB Output is correct
21 Correct 190 ms 221888 KB Output is correct
22 Correct 192 ms 222144 KB Output is correct
23 Correct 201 ms 221888 KB Output is correct
24 Correct 229 ms 221892 KB Output is correct
25 Correct 203 ms 221888 KB Output is correct
26 Correct 196 ms 221636 KB Output is correct
27 Correct 189 ms 221888 KB Output is correct
28 Correct 201 ms 221632 KB Output is correct
29 Correct 197 ms 221636 KB Output is correct
30 Correct 195 ms 221884 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 75 ms 221120 KB Output is correct
2 Correct 75 ms 221120 KB Output is correct
3 Correct 76 ms 221120 KB Output is correct
4 Correct 109 ms 221380 KB Output is correct
5 Correct 170 ms 221548 KB Output is correct
6 Correct 180 ms 221760 KB Output is correct
7 Correct 183 ms 221632 KB Output is correct
8 Correct 192 ms 221636 KB Output is correct
9 Correct 188 ms 221636 KB Output is correct
10 Correct 184 ms 221636 KB Output is correct
11 Correct 194 ms 221644 KB Output is correct
12 Correct 189 ms 221636 KB Output is correct
13 Correct 187 ms 221636 KB Output is correct
14 Correct 185 ms 221636 KB Output is correct
15 Correct 190 ms 221636 KB Output is correct
16 Correct 72 ms 221120 KB Output is correct
17 Correct 65 ms 221120 KB Output is correct
18 Correct 80 ms 221120 KB Output is correct
19 Correct 119 ms 221348 KB Output is correct
20 Correct 151 ms 221624 KB Output is correct
21 Correct 190 ms 221888 KB Output is correct
22 Correct 192 ms 222144 KB Output is correct
23 Correct 201 ms 221888 KB Output is correct
24 Correct 229 ms 221892 KB Output is correct
25 Correct 203 ms 221888 KB Output is correct
26 Correct 196 ms 221636 KB Output is correct
27 Correct 189 ms 221888 KB Output is correct
28 Correct 201 ms 221632 KB Output is correct
29 Correct 197 ms 221636 KB Output is correct
30 Correct 195 ms 221884 KB Output is correct
31 Correct 104 ms 221176 KB Output is correct
32 Correct 79 ms 221120 KB Output is correct
33 Correct 74 ms 221120 KB Output is correct
34 Correct 89 ms 221264 KB Output is correct
35 Correct 72 ms 221124 KB Output is correct
36 Correct 90 ms 221208 KB Output is correct
37 Correct 105 ms 221376 KB Output is correct
38 Correct 106 ms 221348 KB Output is correct
39 Correct 126 ms 221632 KB Output is correct
40 Correct 174 ms 221588 KB Output is correct
41 Correct 223 ms 221800 KB Output is correct
42 Correct 222 ms 221888 KB Output is correct
43 Correct 227 ms 221888 KB Output is correct
44 Correct 230 ms 221892 KB Output is correct
45 Correct 223 ms 222148 KB Output is correct
46 Correct 218 ms 221888 KB Output is correct
47 Correct 216 ms 221808 KB Output is correct
48 Correct 220 ms 221924 KB Output is correct
49 Correct 222 ms 221848 KB Output is correct
50 Correct 221 ms 221892 KB Output is correct
51 Correct 236 ms 222656 KB Output is correct
52 Correct 225 ms 221832 KB Output is correct
53 Correct 213 ms 221888 KB Output is correct
54 Correct 232 ms 221888 KB Output is correct
55 Correct 241 ms 221888 KB Output is correct
56 Correct 224 ms 221884 KB Output is correct
57 Correct 226 ms 221884 KB Output is correct
58 Correct 273 ms 222020 KB Output is correct
59 Correct 228 ms 221812 KB Output is correct
60 Correct 224 ms 221892 KB Output is correct

Subtask #5
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 76 ms 219072 KB Output is correct
2 Correct 71 ms 221216 KB Output is correct
3 Correct 69 ms 221124 KB Output is correct
4 Correct 74 ms 221120 KB Output is correct
5 Correct 91 ms 221120 KB Output is correct
6 Correct 85 ms 221252 KB Output is correct
7 Correct 68 ms 221124 KB Output is correct
8 Correct 74 ms 221124 KB Output is correct
9 Correct 78 ms 221184 KB Output is correct
10 Correct 86 ms 221096 KB Output is correct
11 Correct 75 ms 221120 KB Output is correct
12 Correct 75 ms 221120 KB Output is correct
13 Correct 76 ms 221120 KB Output is correct
14 Correct 109 ms 221380 KB Output is correct
15 Correct 170 ms 221548 KB Output is correct
16 Correct 180 ms 221760 KB Output is correct
17 Correct 183 ms 221632 KB Output is correct
18 Correct 192 ms 221636 KB Output is correct
19 Correct 188 ms 221636 KB Output is correct
20 Correct 184 ms 221636 KB Output is correct
21 Correct 194 ms 221644 KB Output is correct
22 Correct 189 ms 221636 KB Output is correct
23 Correct 187 ms 221636 KB Output is correct
24 Correct 185 ms 221636 KB Output is correct
25 Correct 190 ms 221636 KB Output is correct
26 Correct 72 ms 221120 KB Output is correct
27 Correct 65 ms 221120 KB Output is correct
28 Correct 80 ms 221120 KB Output is correct
29 Correct 119 ms 221348 KB Output is correct
30 Correct 151 ms 221624 KB Output is correct
31 Correct 190 ms 221888 KB Output is correct
32 Correct 192 ms 222144 KB Output is correct
33 Correct 201 ms 221888 KB Output is correct
34 Correct 229 ms 221892 KB Output is correct
35 Correct 203 ms 221888 KB Output is correct
36 Correct 196 ms 221636 KB Output is correct
37 Correct 189 ms 221888 KB Output is correct
38 Correct 201 ms 221632 KB Output is correct
39 Correct 197 ms 221636 KB Output is correct
40 Correct 195 ms 221884 KB Output is correct
41 Correct 104 ms 221176 KB Output is correct
42 Correct 79 ms 221120 KB Output is correct
43 Correct 74 ms 221120 KB Output is correct
44 Correct 89 ms 221264 KB Output is correct
45 Correct 72 ms 221124 KB Output is correct
46 Correct 90 ms 221208 KB Output is correct
47 Correct 105 ms 221376 KB Output is correct
48 Correct 106 ms 221348 KB Output is correct
49 Correct 126 ms 221632 KB Output is correct
50 Correct 174 ms 221588 KB Output is correct
51 Correct 223 ms 221800 KB Output is correct
52 Correct 222 ms 221888 KB Output is correct
53 Correct 227 ms 221888 KB Output is correct
54 Correct 230 ms 221892 KB Output is correct
55 Correct 223 ms 222148 KB Output is correct
56 Correct 218 ms 221888 KB Output is correct
57 Correct 216 ms 221808 KB Output is correct
58 Correct 220 ms 221924 KB Output is correct
59 Correct 222 ms 221848 KB Output is correct
60 Correct 221 ms 221892 KB Output is correct
61 Correct 236 ms 222656 KB Output is correct
62 Correct 225 ms 221832 KB Output is correct
63 Correct 213 ms 221888 KB Output is correct
64 Correct 232 ms 221888 KB Output is correct
65 Correct 241 ms 221888 KB Output is correct
66 Correct 224 ms 221884 KB Output is correct
67 Correct 226 ms 221884 KB Output is correct
68 Correct 273 ms 222020 KB Output is correct
69 Correct 228 ms 221812 KB Output is correct
70 Correct 224 ms 221892 KB Output is correct
71 Correct 110 ms 223524 KB Output is correct
72 Correct 114 ms 223424 KB Output is correct
73 Correct 110 ms 223424 KB Output is correct
74 Correct 104 ms 223412 KB Output is correct
75 Correct 111 ms 223488 KB Output is correct
76 Correct 136 ms 225728 KB Output is correct
77 Correct 141 ms 225700 KB Output is correct
78 Correct 133 ms 225728 KB Output is correct
79 Correct 162 ms 225732 KB Output is correct
80 Correct 128 ms 225648 KB Output is correct
81 Correct 180 ms 228028 KB Output is correct
82 Correct 183 ms 228072 KB Output is correct
83 Correct 185 ms 228032 KB Output is correct
84 Correct 178 ms 228032 KB Output is correct
85 Correct 178 ms 228196 KB Output is correct
86 Correct 171 ms 228036 KB Output is correct
87 Correct 176 ms 228028 KB Output is correct
88 Correct 170 ms 228036 KB Output is correct
89 Correct 172 ms 228032 KB Output is correct
90 Correct 171 ms 228032 KB Output is correct
91 Correct 224 ms 232672 KB Output is correct
92 Correct 231 ms 232980 KB Output is correct
93 Correct 230 ms 232640 KB Output is correct
94 Correct 218 ms 232636 KB Output is correct
95 Correct 222 ms 232644 KB Output is correct
96 Correct 233 ms 241492 KB Output is correct
97 Correct 251 ms 241564 KB Output is correct
98 Correct 233 ms 241584 KB Output is correct
99 Correct 234 ms 241600 KB Output is correct
100 Correct 231 ms 241600 KB Output is correct
101 Correct 230 ms 241604 KB Output is correct
102 Correct 226 ms 241512 KB Output is correct
103 Correct 228 ms 241596 KB Output is correct
104 Correct 224 ms 241660 KB Output is correct
105 Correct 228 ms 241596 KB Output is correct
106 Correct 240 ms 245956 KB Output is correct
107 Correct 246 ms 245948 KB Output is correct
108 Correct 220 ms 245948 KB Output is correct
109 Correct 227 ms 245948 KB Output is correct
110 Correct 238 ms 245892 KB Output is correct
111 Correct 215 ms 245956 KB Output is correct
112 Correct 233 ms 245888 KB Output is correct
113 Correct 224 ms 245956 KB Output is correct
114 Correct 217 ms 245964 KB Output is correct
115 Correct 223 ms 245952 KB Output is correct

Subtask #6
0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 76 ms 219072 KB Output is correct
2 Correct 71 ms 221216 KB Output is correct
3 Correct 69 ms 221124 KB Output is correct
4 Correct 74 ms 221120 KB Output is correct
5 Correct 91 ms 221120 KB Output is correct
6 Correct 85 ms 221252 KB Output is correct
7 Correct 68 ms 221124 KB Output is correct
8 Correct 74 ms 221124 KB Output is correct
9 Correct 78 ms 221184 KB Output is correct
10 Correct 86 ms 221096 KB Output is correct
11 Correct 75 ms 221120 KB Output is correct
12 Correct 75 ms 221120 KB Output is correct
13 Correct 76 ms 221120 KB Output is correct
14 Correct 109 ms 221380 KB Output is correct
15 Correct 170 ms 221548 KB Output is correct
16 Correct 180 ms 221760 KB Output is correct
17 Correct 183 ms 221632 KB Output is correct
18 Correct 192 ms 221636 KB Output is correct
19 Correct 188 ms 221636 KB Output is correct
20 Correct 184 ms 221636 KB Output is correct
21 Correct 194 ms 221644 KB Output is correct
22 Correct 189 ms 221636 KB Output is correct
23 Correct 187 ms 221636 KB Output is correct
24 Correct 185 ms 221636 KB Output is correct
25 Correct 190 ms 221636 KB Output is correct
26 Correct 72 ms 221120 KB Output is correct
27 Correct 65 ms 221120 KB Output is correct
28 Correct 80 ms 221120 KB Output is correct
29 Correct 119 ms 221348 KB Output is correct
30 Correct 151 ms 221624 KB Output is correct
31 Correct 190 ms 221888 KB Output is correct
32 Correct 192 ms 222144 KB Output is correct
33 Correct 201 ms 221888 KB Output is correct
34 Correct 229 ms 221892 KB Output is correct
35 Correct 203 ms 221888 KB Output is correct
36 Correct 196 ms 221636 KB Output is correct
37 Correct 189 ms 221888 KB Output is correct
38 Correct 201 ms 221632 KB Output is correct
39 Correct 197 ms 221636 KB Output is correct
40 Correct 195 ms 221884 KB Output is correct
41 Correct 104 ms 221176 KB Output is correct
42 Correct 79 ms 221120 KB Output is correct
43 Correct 74 ms 221120 KB Output is correct
44 Correct 89 ms 221264 KB Output is correct
45 Correct 72 ms 221124 KB Output is correct
46 Correct 90 ms 221208 KB Output is correct
47 Correct 105 ms 221376 KB Output is correct
48 Correct 106 ms 221348 KB Output is correct
49 Correct 126 ms 221632 KB Output is correct
50 Correct 174 ms 221588 KB Output is correct
51 Correct 223 ms 221800 KB Output is correct
52 Correct 222 ms 221888 KB Output is correct
53 Correct 227 ms 221888 KB Output is correct
54 Correct 230 ms 221892 KB Output is correct
55 Correct 223 ms 222148 KB Output is correct
56 Correct 218 ms 221888 KB Output is correct
57 Correct 216 ms 221808 KB Output is correct
58 Correct 220 ms 221924 KB Output is correct
59 Correct 222 ms 221848 KB Output is correct
60 Correct 221 ms 221892 KB Output is correct
61 Correct 236 ms 222656 KB Output is correct
62 Correct 225 ms 221832 KB Output is correct
63 Correct 213 ms 221888 KB Output is correct
64 Correct 232 ms 221888 KB Output is correct
65 Correct 241 ms 221888 KB Output is correct
66 Correct 224 ms 221884 KB Output is correct
67 Correct 226 ms 221884 KB Output is correct
68 Correct 273 ms 222020 KB Output is correct
69 Correct 228 ms 221812 KB Output is correct
70 Correct 224 ms 221892 KB Output is correct
71 Correct 110 ms 223524 KB Output is correct
72 Correct 114 ms 223424 KB Output is correct
73 Correct 110 ms 223424 KB Output is correct
74 Correct 104 ms 223412 KB Output is correct
75 Correct 111 ms 223488 KB Output is correct
76 Correct 136 ms 225728 KB Output is correct
77 Correct 141 ms 225700 KB Output is correct
78 Correct 133 ms 225728 KB Output is correct
79 Correct 162 ms 225732 KB Output is correct
80 Correct 128 ms 225648 KB Output is correct
81 Correct 180 ms 228028 KB Output is correct
82 Correct 183 ms 228072 KB Output is correct
83 Correct 185 ms 228032 KB Output is correct
84 Correct 178 ms 228032 KB Output is correct
85 Correct 178 ms 228196 KB Output is correct
86 Correct 171 ms 228036 KB Output is correct
87 Correct 176 ms 228028 KB Output is correct
88 Correct 170 ms 228036 KB Output is correct
89 Correct 172 ms 228032 KB Output is correct
90 Correct 171 ms 228032 KB Output is correct
91 Correct 224 ms 232672 KB Output is correct
92 Correct 231 ms 232980 KB Output is correct
93 Correct 230 ms 232640 KB Output is correct
94 Correct 218 ms 232636 KB Output is correct
95 Correct 222 ms 232644 KB Output is correct
96 Correct 233 ms 241492 KB Output is correct
97 Correct 251 ms 241564 KB Output is correct
98 Correct 233 ms 241584 KB Output is correct
99 Correct 234 ms 241600 KB Output is correct
100 Correct 231 ms 241600 KB Output is correct
101 Correct 230 ms 241604 KB Output is correct
102 Correct 226 ms 241512 KB Output is correct
103 Correct 228 ms 241596 KB Output is correct
104 Correct 224 ms 241660 KB Output is correct
105 Correct 228 ms 241596 KB Output is correct
106 Correct 240 ms 245956 KB Output is correct
107 Correct 246 ms 245948 KB Output is correct
108 Correct 220 ms 245948 KB Output is correct
109 Correct 227 ms 245948 KB Output is correct
110 Correct 238 ms 245892 KB Output is correct
111 Correct 215 ms 245956 KB Output is correct
112 Correct 233 ms 245888 KB Output is correct
113 Correct 224 ms 245956 KB Output is correct
114 Correct 217 ms 245964 KB Output is correct
115 Correct 223 ms 245952 KB Output is correct
116 Correct 1447 ms 223556 KB Output is correct
117 Correct 1491 ms 223448 KB Output is correct
118 Correct 6043 ms 223924 KB Output is correct
119 Correct 6403 ms 223952 KB Output is correct
120 Correct 6601 ms 223936 KB Output is correct
121 Execution timed out 7083 ms 223424 KB Time limit exceeded
122 Halted 0 ms 0 KB -