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Submission #1049400

# Submission time Handle Problem Language Result Execution time Memory
1049400 2024-08-08T17:58:48 Z PoonYaPat Diversity (CEOI21_diversity) C++14
64 / 100
 7000 ms 244672 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=525;

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 69 ms 219076 KB Output is correct
2 Correct 77 ms 221112 KB Output is correct
3 Correct 70 ms 221244 KB Output is correct
4 Correct 73 ms 221120 KB Output is correct
5 Correct 71 ms 221124 KB Output is correct
6 Correct 72 ms 221124 KB Output is correct
7 Correct 78 ms 221124 KB Output is correct
8 Correct 75 ms 221120 KB Output is correct
9 Correct 70 ms 221120 KB Output is correct
10 Correct 74 ms 221124 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 73 ms 221124 KB Output is correct
2 Correct 87 ms 221120 KB Output is correct
3 Correct 81 ms 221120 KB Output is correct
4 Correct 108 ms 221124 KB Output is correct
5 Correct 147 ms 221236 KB Output is correct
6 Correct 201 ms 221052 KB Output is correct
7 Correct 184 ms 221120 KB Output is correct
8 Correct 191 ms 221120 KB Output is correct
9 Correct 196 ms 221124 KB Output is correct
10 Correct 198 ms 221120 KB Output is correct
11 Correct 194 ms 221212 KB Output is correct
12 Correct 187 ms 221124 KB Output is correct
13 Correct 179 ms 221120 KB Output is correct
14 Correct 182 ms 221172 KB Output is correct
15 Correct 182 ms 221120 KB Output is correct

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 73 ms 221124 KB Output is correct
2 Correct 87 ms 221120 KB Output is correct
3 Correct 81 ms 221120 KB Output is correct
4 Correct 108 ms 221124 KB Output is correct
5 Correct 147 ms 221236 KB Output is correct
6 Correct 201 ms 221052 KB Output is correct
7 Correct 184 ms 221120 KB Output is correct
8 Correct 191 ms 221120 KB Output is correct
9 Correct 196 ms 221124 KB Output is correct
10 Correct 198 ms 221120 KB Output is correct
11 Correct 194 ms 221212 KB Output is correct
12 Correct 187 ms 221124 KB Output is correct
13 Correct 179 ms 221120 KB Output is correct
14 Correct 182 ms 221172 KB Output is correct
15 Correct 182 ms 221120 KB Output is correct
16 Correct 80 ms 221124 KB Output is correct
17 Correct 81 ms 221124 KB Output is correct
18 Correct 86 ms 221192 KB Output is correct
19 Correct 116 ms 221120 KB Output is correct
20 Correct 158 ms 221120 KB Output is correct
21 Correct 197 ms 221120 KB Output is correct
22 Correct 218 ms 221120 KB Output is correct
23 Correct 197 ms 221120 KB Output is correct
24 Correct 200 ms 221140 KB Output is correct
25 Correct 199 ms 221120 KB Output is correct
26 Correct 212 ms 221124 KB Output is correct
27 Correct 223 ms 221056 KB Output is correct
28 Correct 192 ms 221120 KB Output is correct
29 Correct 192 ms 221120 KB Output is correct
30 Correct 216 ms 221256 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 73 ms 221124 KB Output is correct
2 Correct 87 ms 221120 KB Output is correct
3 Correct 81 ms 221120 KB Output is correct
4 Correct 108 ms 221124 KB Output is correct
5 Correct 147 ms 221236 KB Output is correct
6 Correct 201 ms 221052 KB Output is correct
7 Correct 184 ms 221120 KB Output is correct
8 Correct 191 ms 221120 KB Output is correct
9 Correct 196 ms 221124 KB Output is correct
10 Correct 198 ms 221120 KB Output is correct
11 Correct 194 ms 221212 KB Output is correct
12 Correct 187 ms 221124 KB Output is correct
13 Correct 179 ms 221120 KB Output is correct
14 Correct 182 ms 221172 KB Output is correct
15 Correct 182 ms 221120 KB Output is correct
16 Correct 80 ms 221124 KB Output is correct
17 Correct 81 ms 221124 KB Output is correct
18 Correct 86 ms 221192 KB Output is correct
19 Correct 116 ms 221120 KB Output is correct
20 Correct 158 ms 221120 KB Output is correct
21 Correct 197 ms 221120 KB Output is correct
22 Correct 218 ms 221120 KB Output is correct
23 Correct 197 ms 221120 KB Output is correct
24 Correct 200 ms 221140 KB Output is correct
25 Correct 199 ms 221120 KB Output is correct
26 Correct 212 ms 221124 KB Output is correct
27 Correct 223 ms 221056 KB Output is correct
28 Correct 192 ms 221120 KB Output is correct
29 Correct 192 ms 221120 KB Output is correct
30 Correct 216 ms 221256 KB Output is correct
31 Correct 67 ms 221120 KB Output is correct
32 Correct 74 ms 221124 KB Output is correct
33 Correct 68 ms 221160 KB Output is correct
34 Correct 79 ms 221104 KB Output is correct
35 Correct 90 ms 221124 KB Output is correct
36 Correct 94 ms 221120 KB Output is correct
37 Correct 103 ms 221124 KB Output is correct
38 Correct 106 ms 221120 KB Output is correct
39 Correct 129 ms 221120 KB Output is correct
40 Correct 174 ms 221076 KB Output is correct
41 Correct 214 ms 221136 KB Output is correct
42 Correct 218 ms 221124 KB Output is correct
43 Correct 216 ms 221124 KB Output is correct
44 Correct 211 ms 221072 KB Output is correct
45 Correct 228 ms 221120 KB Output is correct
46 Correct 224 ms 221228 KB Output is correct
47 Correct 218 ms 221120 KB Output is correct
48 Correct 217 ms 221124 KB Output is correct
49 Correct 247 ms 221124 KB Output is correct
50 Correct 249 ms 221120 KB Output is correct
51 Correct 247 ms 221136 KB Output is correct
52 Correct 222 ms 221060 KB Output is correct
53 Correct 245 ms 221120 KB Output is correct
54 Correct 229 ms 221068 KB Output is correct
55 Correct 246 ms 208092 KB Output is correct
56 Correct 207 ms 208072 KB Output is correct
57 Correct 222 ms 221228 KB Output is correct
58 Correct 247 ms 217032 KB Output is correct
59 Correct 244 ms 219580 KB Output is correct
60 Correct 249 ms 214972 KB Output is correct

Subtask #5
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 69 ms 219076 KB Output is correct
2 Correct 77 ms 221112 KB Output is correct
3 Correct 70 ms 221244 KB Output is correct
4 Correct 73 ms 221120 KB Output is correct
5 Correct 71 ms 221124 KB Output is correct
6 Correct 72 ms 221124 KB Output is correct
7 Correct 78 ms 221124 KB Output is correct
8 Correct 75 ms 221120 KB Output is correct
9 Correct 70 ms 221120 KB Output is correct
10 Correct 74 ms 221124 KB Output is correct
11 Correct 73 ms 221124 KB Output is correct
12 Correct 87 ms 221120 KB Output is correct
13 Correct 81 ms 221120 KB Output is correct
14 Correct 108 ms 221124 KB Output is correct
15 Correct 147 ms 221236 KB Output is correct
16 Correct 201 ms 221052 KB Output is correct
17 Correct 184 ms 221120 KB Output is correct
18 Correct 191 ms 221120 KB Output is correct
19 Correct 196 ms 221124 KB Output is correct
20 Correct 198 ms 221120 KB Output is correct
21 Correct 194 ms 221212 KB Output is correct
22 Correct 187 ms 221124 KB Output is correct
23 Correct 179 ms 221120 KB Output is correct
24 Correct 182 ms 221172 KB Output is correct
25 Correct 182 ms 221120 KB Output is correct
26 Correct 80 ms 221124 KB Output is correct
27 Correct 81 ms 221124 KB Output is correct
28 Correct 86 ms 221192 KB Output is correct
29 Correct 116 ms 221120 KB Output is correct
30 Correct 158 ms 221120 KB Output is correct
31 Correct 197 ms 221120 KB Output is correct
32 Correct 218 ms 221120 KB Output is correct
33 Correct 197 ms 221120 KB Output is correct
34 Correct 200 ms 221140 KB Output is correct
35 Correct 199 ms 221120 KB Output is correct
36 Correct 212 ms 221124 KB Output is correct
37 Correct 223 ms 221056 KB Output is correct
38 Correct 192 ms 221120 KB Output is correct
39 Correct 192 ms 221120 KB Output is correct
40 Correct 216 ms 221256 KB Output is correct
41 Correct 67 ms 221120 KB Output is correct
42 Correct 74 ms 221124 KB Output is correct
43 Correct 68 ms 221160 KB Output is correct
44 Correct 79 ms 221104 KB Output is correct
45 Correct 90 ms 221124 KB Output is correct
46 Correct 94 ms 221120 KB Output is correct
47 Correct 103 ms 221124 KB Output is correct
48 Correct 106 ms 221120 KB Output is correct
49 Correct 129 ms 221120 KB Output is correct
50 Correct 174 ms 221076 KB Output is correct
51 Correct 214 ms 221136 KB Output is correct
52 Correct 218 ms 221124 KB Output is correct
53 Correct 216 ms 221124 KB Output is correct
54 Correct 211 ms 221072 KB Output is correct
55 Correct 228 ms 221120 KB Output is correct
56 Correct 224 ms 221228 KB Output is correct
57 Correct 218 ms 221120 KB Output is correct
58 Correct 217 ms 221124 KB Output is correct
59 Correct 247 ms 221124 KB Output is correct
60 Correct 249 ms 221120 KB Output is correct
61 Correct 247 ms 221136 KB Output is correct
62 Correct 222 ms 221060 KB Output is correct
63 Correct 245 ms 221120 KB Output is correct
64 Correct 229 ms 221068 KB Output is correct
65 Correct 246 ms 208092 KB Output is correct
66 Correct 207 ms 208072 KB Output is correct
67 Correct 222 ms 221228 KB Output is correct
68 Correct 247 ms 217032 KB Output is correct
69 Correct 244 ms 219580 KB Output is correct
70 Correct 249 ms 214972 KB Output is correct
71 Correct 140 ms 213208 KB Output is correct
72 Correct 100 ms 213184 KB Output is correct
73 Correct 105 ms 213184 KB Output is correct
74 Correct 106 ms 215232 KB Output is correct
75 Correct 105 ms 213276 KB Output is correct
76 Correct 135 ms 215492 KB Output is correct
77 Correct 124 ms 213440 KB Output is correct
78 Correct 122 ms 215460 KB Output is correct
79 Correct 127 ms 213356 KB Output is correct
80 Correct 127 ms 213440 KB Output is correct
81 Correct 165 ms 212928 KB Output is correct
82 Correct 176 ms 215912 KB Output is correct
83 Correct 195 ms 213948 KB Output is correct
84 Correct 178 ms 227268 KB Output is correct
85 Correct 189 ms 208564 KB Output is correct
86 Correct 177 ms 209792 KB Output is correct
87 Correct 163 ms 209856 KB Output is correct
88 Correct 167 ms 209764 KB Output is correct
89 Correct 164 ms 209852 KB Output is correct
90 Correct 168 ms 209856 KB Output is correct
91 Correct 241 ms 219880 KB Output is correct
92 Correct 237 ms 219836 KB Output is correct
93 Correct 252 ms 219840 KB Output is correct
94 Correct 243 ms 219836 KB Output is correct
95 Correct 231 ms 219836 KB Output is correct
96 Correct 226 ms 232376 KB Output is correct
97 Correct 227 ms 232268 KB Output is correct
98 Correct 235 ms 241084 KB Output is correct
99 Correct 234 ms 240440 KB Output is correct
100 Correct 238 ms 240316 KB Output is correct
101 Correct 236 ms 240332 KB Output is correct
102 Correct 231 ms 240316 KB Output is correct
103 Correct 220 ms 240316 KB Output is correct
104 Correct 232 ms 240320 KB Output is correct
105 Correct 224 ms 240316 KB Output is correct
106 Correct 217 ms 244668 KB Output is correct
107 Correct 228 ms 244672 KB Output is correct
108 Correct 228 ms 244664 KB Output is correct
109 Correct 220 ms 244672 KB Output is correct
110 Correct 227 ms 244612 KB Output is correct
111 Correct 230 ms 244672 KB Output is correct
112 Correct 227 ms 244524 KB Output is correct
113 Correct 215 ms 244668 KB Output is correct
114 Correct 220 ms 244536 KB Output is correct
115 Correct 215 ms 244672 KB Output is correct

Subtask #6
0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 69 ms 219076 KB Output is correct
2 Correct 77 ms 221112 KB Output is correct
3 Correct 70 ms 221244 KB Output is correct
4 Correct 73 ms 221120 KB Output is correct
5 Correct 71 ms 221124 KB Output is correct
6 Correct 72 ms 221124 KB Output is correct
7 Correct 78 ms 221124 KB Output is correct
8 Correct 75 ms 221120 KB Output is correct
9 Correct 70 ms 221120 KB Output is correct
10 Correct 74 ms 221124 KB Output is correct
11 Correct 73 ms 221124 KB Output is correct
12 Correct 87 ms 221120 KB Output is correct
13 Correct 81 ms 221120 KB Output is correct
14 Correct 108 ms 221124 KB Output is correct
15 Correct 147 ms 221236 KB Output is correct
16 Correct 201 ms 221052 KB Output is correct
17 Correct 184 ms 221120 KB Output is correct
18 Correct 191 ms 221120 KB Output is correct
19 Correct 196 ms 221124 KB Output is correct
20 Correct 198 ms 221120 KB Output is correct
21 Correct 194 ms 221212 KB Output is correct
22 Correct 187 ms 221124 KB Output is correct
23 Correct 179 ms 221120 KB Output is correct
24 Correct 182 ms 221172 KB Output is correct
25 Correct 182 ms 221120 KB Output is correct
26 Correct 80 ms 221124 KB Output is correct
27 Correct 81 ms 221124 KB Output is correct
28 Correct 86 ms 221192 KB Output is correct
29 Correct 116 ms 221120 KB Output is correct
30 Correct 158 ms 221120 KB Output is correct
31 Correct 197 ms 221120 KB Output is correct
32 Correct 218 ms 221120 KB Output is correct
33 Correct 197 ms 221120 KB Output is correct
34 Correct 200 ms 221140 KB Output is correct
35 Correct 199 ms 221120 KB Output is correct
36 Correct 212 ms 221124 KB Output is correct
37 Correct 223 ms 221056 KB Output is correct
38 Correct 192 ms 221120 KB Output is correct
39 Correct 192 ms 221120 KB Output is correct
40 Correct 216 ms 221256 KB Output is correct
41 Correct 67 ms 221120 KB Output is correct
42 Correct 74 ms 221124 KB Output is correct
43 Correct 68 ms 221160 KB Output is correct
44 Correct 79 ms 221104 KB Output is correct
45 Correct 90 ms 221124 KB Output is correct
46 Correct 94 ms 221120 KB Output is correct
47 Correct 103 ms 221124 KB Output is correct
48 Correct 106 ms 221120 KB Output is correct
49 Correct 129 ms 221120 KB Output is correct
50 Correct 174 ms 221076 KB Output is correct
51 Correct 214 ms 221136 KB Output is correct
52 Correct 218 ms 221124 KB Output is correct
53 Correct 216 ms 221124 KB Output is correct
54 Correct 211 ms 221072 KB Output is correct
55 Correct 228 ms 221120 KB Output is correct
56 Correct 224 ms 221228 KB Output is correct
57 Correct 218 ms 221120 KB Output is correct
58 Correct 217 ms 221124 KB Output is correct
59 Correct 247 ms 221124 KB Output is correct
60 Correct 249 ms 221120 KB Output is correct
61 Correct 247 ms 221136 KB Output is correct
62 Correct 222 ms 221060 KB Output is correct
63 Correct 245 ms 221120 KB Output is correct
64 Correct 229 ms 221068 KB Output is correct
65 Correct 246 ms 208092 KB Output is correct
66 Correct 207 ms 208072 KB Output is correct
67 Correct 222 ms 221228 KB Output is correct
68 Correct 247 ms 217032 KB Output is correct
69 Correct 244 ms 219580 KB Output is correct
70 Correct 249 ms 214972 KB Output is correct
71 Correct 140 ms 213208 KB Output is correct
72 Correct 100 ms 213184 KB Output is correct
73 Correct 105 ms 213184 KB Output is correct
74 Correct 106 ms 215232 KB Output is correct
75 Correct 105 ms 213276 KB Output is correct
76 Correct 135 ms 215492 KB Output is correct
77 Correct 124 ms 213440 KB Output is correct
78 Correct 122 ms 215460 KB Output is correct
79 Correct 127 ms 213356 KB Output is correct
80 Correct 127 ms 213440 KB Output is correct
81 Correct 165 ms 212928 KB Output is correct
82 Correct 176 ms 215912 KB Output is correct
83 Correct 195 ms 213948 KB Output is correct
84 Correct 178 ms 227268 KB Output is correct
85 Correct 189 ms 208564 KB Output is correct
86 Correct 177 ms 209792 KB Output is correct
87 Correct 163 ms 209856 KB Output is correct
88 Correct 167 ms 209764 KB Output is correct
89 Correct 164 ms 209852 KB Output is correct
90 Correct 168 ms 209856 KB Output is correct
91 Correct 241 ms 219880 KB Output is correct
92 Correct 237 ms 219836 KB Output is correct
93 Correct 252 ms 219840 KB Output is correct
94 Correct 243 ms 219836 KB Output is correct
95 Correct 231 ms 219836 KB Output is correct
96 Correct 226 ms 232376 KB Output is correct
97 Correct 227 ms 232268 KB Output is correct
98 Correct 235 ms 241084 KB Output is correct
99 Correct 234 ms 240440 KB Output is correct
100 Correct 238 ms 240316 KB Output is correct
101 Correct 236 ms 240332 KB Output is correct
102 Correct 231 ms 240316 KB Output is correct
103 Correct 220 ms 240316 KB Output is correct
104 Correct 232 ms 240320 KB Output is correct
105 Correct 224 ms 240316 KB Output is correct
106 Correct 217 ms 244668 KB Output is correct
107 Correct 228 ms 244672 KB Output is correct
108 Correct 228 ms 244664 KB Output is correct
109 Correct 220 ms 244672 KB Output is correct
110 Correct 227 ms 244612 KB Output is correct
111 Correct 230 ms 244672 KB Output is correct
112 Correct 227 ms 244524 KB Output is correct
113 Correct 215 ms 244668 KB Output is correct
114 Correct 220 ms 244536 KB Output is correct
115 Correct 215 ms 244672 KB Output is correct
116 Correct 3377 ms 222936 KB Output is correct
117 Correct 3390 ms 222912 KB Output is correct
118 Correct 5136 ms 223168 KB Output is correct
119 Correct 5671 ms 223164 KB Output is correct
120 Correct 5766 ms 223168 KB Output is correct
121 Execution timed out 7099 ms 222652 KB Time limit exceeded
122 Halted 0 ms 0 KB -