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Submission #1049388

# Submission time Handle Problem Language Result Execution time Memory
1049388 2024-08-08T17:50:38 Z PoonYaPat Diversity (CEOI21_diversity) C++14
64 / 100
 7000 ms 245468 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=100;

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 75 ms 219076 KB Output is correct
2 Correct 69 ms 221080 KB Output is correct
3 Correct 68 ms 221080 KB Output is correct
4 Correct 69 ms 221120 KB Output is correct
5 Correct 77 ms 221124 KB Output is correct
6 Correct 72 ms 221120 KB Output is correct
7 Correct 69 ms 221120 KB Output is correct
8 Correct 77 ms 221256 KB Output is correct
9 Correct 75 ms 221124 KB Output is correct
10 Correct 65 ms 221124 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 71 ms 221028 KB Output is correct
2 Correct 72 ms 221120 KB Output is correct
3 Correct 78 ms 221036 KB Output is correct
4 Correct 112 ms 221140 KB Output is correct
5 Correct 164 ms 221120 KB Output is correct
6 Correct 185 ms 221248 KB Output is correct
7 Correct 219 ms 221124 KB Output is correct
8 Correct 194 ms 221112 KB Output is correct
9 Correct 235 ms 221256 KB Output is correct
10 Correct 183 ms 221216 KB Output is correct
11 Correct 188 ms 221124 KB Output is correct
12 Correct 192 ms 221124 KB Output is correct
13 Correct 192 ms 221364 KB Output is correct
14 Correct 189 ms 221132 KB Output is correct
15 Correct 185 ms 221224 KB Output is correct

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 71 ms 221028 KB Output is correct
2 Correct 72 ms 221120 KB Output is correct
3 Correct 78 ms 221036 KB Output is correct
4 Correct 112 ms 221140 KB Output is correct
5 Correct 164 ms 221120 KB Output is correct
6 Correct 185 ms 221248 KB Output is correct
7 Correct 219 ms 221124 KB Output is correct
8 Correct 194 ms 221112 KB Output is correct
9 Correct 235 ms 221256 KB Output is correct
10 Correct 183 ms 221216 KB Output is correct
11 Correct 188 ms 221124 KB Output is correct
12 Correct 192 ms 221124 KB Output is correct
13 Correct 192 ms 221364 KB Output is correct
14 Correct 189 ms 221132 KB Output is correct
15 Correct 185 ms 221224 KB Output is correct
16 Correct 76 ms 221172 KB Output is correct
17 Correct 76 ms 221124 KB Output is correct
18 Correct 82 ms 221124 KB Output is correct
19 Correct 115 ms 221196 KB Output is correct
20 Correct 153 ms 221044 KB Output is correct
21 Correct 191 ms 221120 KB Output is correct
22 Correct 194 ms 221124 KB Output is correct
23 Correct 187 ms 221120 KB Output is correct
24 Correct 201 ms 221024 KB Output is correct
25 Correct 196 ms 221124 KB Output is correct
26 Correct 207 ms 221120 KB Output is correct
27 Correct 205 ms 221220 KB Output is correct
28 Correct 196 ms 221120 KB Output is correct
29 Correct 199 ms 221052 KB Output is correct
30 Correct 202 ms 221120 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 71 ms 221028 KB Output is correct
2 Correct 72 ms 221120 KB Output is correct
3 Correct 78 ms 221036 KB Output is correct
4 Correct 112 ms 221140 KB Output is correct
5 Correct 164 ms 221120 KB Output is correct
6 Correct 185 ms 221248 KB Output is correct
7 Correct 219 ms 221124 KB Output is correct
8 Correct 194 ms 221112 KB Output is correct
9 Correct 235 ms 221256 KB Output is correct
10 Correct 183 ms 221216 KB Output is correct
11 Correct 188 ms 221124 KB Output is correct
12 Correct 192 ms 221124 KB Output is correct
13 Correct 192 ms 221364 KB Output is correct
14 Correct 189 ms 221132 KB Output is correct
15 Correct 185 ms 221224 KB Output is correct
16 Correct 76 ms 221172 KB Output is correct
17 Correct 76 ms 221124 KB Output is correct
18 Correct 82 ms 221124 KB Output is correct
19 Correct 115 ms 221196 KB Output is correct
20 Correct 153 ms 221044 KB Output is correct
21 Correct 191 ms 221120 KB Output is correct
22 Correct 194 ms 221124 KB Output is correct
23 Correct 187 ms 221120 KB Output is correct
24 Correct 201 ms 221024 KB Output is correct
25 Correct 196 ms 221124 KB Output is correct
26 Correct 207 ms 221120 KB Output is correct
27 Correct 205 ms 221220 KB Output is correct
28 Correct 196 ms 221120 KB Output is correct
29 Correct 199 ms 221052 KB Output is correct
30 Correct 202 ms 221120 KB Output is correct
31 Correct 74 ms 221076 KB Output is correct
32 Correct 76 ms 221124 KB Output is correct
33 Correct 79 ms 221124 KB Output is correct
34 Correct 79 ms 221120 KB Output is correct
35 Correct 80 ms 221028 KB Output is correct
36 Correct 89 ms 221272 KB Output is correct
37 Correct 106 ms 221248 KB Output is correct
38 Correct 106 ms 221120 KB Output is correct
39 Correct 133 ms 221168 KB Output is correct
40 Correct 172 ms 221124 KB Output is correct
41 Correct 221 ms 221124 KB Output is correct
42 Correct 220 ms 221120 KB Output is correct
43 Correct 219 ms 221248 KB Output is correct
44 Correct 219 ms 221120 KB Output is correct
45 Correct 225 ms 221120 KB Output is correct
46 Correct 221 ms 221124 KB Output is correct
47 Correct 221 ms 221124 KB Output is correct
48 Correct 215 ms 221120 KB Output is correct
49 Correct 220 ms 221120 KB Output is correct
50 Correct 220 ms 221120 KB Output is correct
51 Correct 221 ms 221120 KB Output is correct
52 Correct 240 ms 221120 KB Output is correct
53 Correct 241 ms 221072 KB Output is correct
54 Correct 211 ms 221124 KB Output is correct
55 Correct 216 ms 221264 KB Output is correct
56 Correct 227 ms 221160 KB Output is correct
57 Correct 222 ms 221124 KB Output is correct
58 Correct 227 ms 221124 KB Output is correct
59 Correct 235 ms 221124 KB Output is correct
60 Correct 244 ms 221120 KB Output is correct

Subtask #5
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 75 ms 219076 KB Output is correct
2 Correct 69 ms 221080 KB Output is correct
3 Correct 68 ms 221080 KB Output is correct
4 Correct 69 ms 221120 KB Output is correct
5 Correct 77 ms 221124 KB Output is correct
6 Correct 72 ms 221120 KB Output is correct
7 Correct 69 ms 221120 KB Output is correct
8 Correct 77 ms 221256 KB Output is correct
9 Correct 75 ms 221124 KB Output is correct
10 Correct 65 ms 221124 KB Output is correct
11 Correct 71 ms 221028 KB Output is correct
12 Correct 72 ms 221120 KB Output is correct
13 Correct 78 ms 221036 KB Output is correct
14 Correct 112 ms 221140 KB Output is correct
15 Correct 164 ms 221120 KB Output is correct
16 Correct 185 ms 221248 KB Output is correct
17 Correct 219 ms 221124 KB Output is correct
18 Correct 194 ms 221112 KB Output is correct
19 Correct 235 ms 221256 KB Output is correct
20 Correct 183 ms 221216 KB Output is correct
21 Correct 188 ms 221124 KB Output is correct
22 Correct 192 ms 221124 KB Output is correct
23 Correct 192 ms 221364 KB Output is correct
24 Correct 189 ms 221132 KB Output is correct
25 Correct 185 ms 221224 KB Output is correct
26 Correct 76 ms 221172 KB Output is correct
27 Correct 76 ms 221124 KB Output is correct
28 Correct 82 ms 221124 KB Output is correct
29 Correct 115 ms 221196 KB Output is correct
30 Correct 153 ms 221044 KB Output is correct
31 Correct 191 ms 221120 KB Output is correct
32 Correct 194 ms 221124 KB Output is correct
33 Correct 187 ms 221120 KB Output is correct
34 Correct 201 ms 221024 KB Output is correct
35 Correct 196 ms 221124 KB Output is correct
36 Correct 207 ms 221120 KB Output is correct
37 Correct 205 ms 221220 KB Output is correct
38 Correct 196 ms 221120 KB Output is correct
39 Correct 199 ms 221052 KB Output is correct
40 Correct 202 ms 221120 KB Output is correct
41 Correct 74 ms 221076 KB Output is correct
42 Correct 76 ms 221124 KB Output is correct
43 Correct 79 ms 221124 KB Output is correct
44 Correct 79 ms 221120 KB Output is correct
45 Correct 80 ms 221028 KB Output is correct
46 Correct 89 ms 221272 KB Output is correct
47 Correct 106 ms 221248 KB Output is correct
48 Correct 106 ms 221120 KB Output is correct
49 Correct 133 ms 221168 KB Output is correct
50 Correct 172 ms 221124 KB Output is correct
51 Correct 221 ms 221124 KB Output is correct
52 Correct 220 ms 221120 KB Output is correct
53 Correct 219 ms 221248 KB Output is correct
54 Correct 219 ms 221120 KB Output is correct
55 Correct 225 ms 221120 KB Output is correct
56 Correct 221 ms 221124 KB Output is correct
57 Correct 221 ms 221124 KB Output is correct
58 Correct 215 ms 221120 KB Output is correct
59 Correct 220 ms 221120 KB Output is correct
60 Correct 220 ms 221120 KB Output is correct
61 Correct 221 ms 221120 KB Output is correct
62 Correct 240 ms 221120 KB Output is correct
63 Correct 241 ms 221072 KB Output is correct
64 Correct 211 ms 221124 KB Output is correct
65 Correct 216 ms 221264 KB Output is correct
66 Correct 227 ms 221160 KB Output is correct
67 Correct 222 ms 221124 KB Output is correct
68 Correct 227 ms 221124 KB Output is correct
69 Correct 235 ms 221124 KB Output is correct
70 Correct 244 ms 221120 KB Output is correct
71 Correct 101 ms 223272 KB Output is correct
72 Correct 107 ms 223172 KB Output is correct
73 Correct 112 ms 223124 KB Output is correct
74 Correct 110 ms 223176 KB Output is correct
75 Correct 116 ms 223168 KB Output is correct
76 Correct 125 ms 225248 KB Output is correct
77 Correct 134 ms 225216 KB Output is correct
78 Correct 130 ms 225220 KB Output is correct
79 Correct 129 ms 225220 KB Output is correct
80 Correct 125 ms 225308 KB Output is correct
81 Correct 178 ms 227348 KB Output is correct
82 Correct 175 ms 227280 KB Output is correct
83 Correct 171 ms 227272 KB Output is correct
84 Correct 183 ms 227268 KB Output is correct
85 Correct 178 ms 227268 KB Output is correct
86 Correct 174 ms 227312 KB Output is correct
87 Correct 167 ms 227264 KB Output is correct
88 Correct 170 ms 227268 KB Output is correct
89 Correct 175 ms 227268 KB Output is correct
90 Correct 164 ms 227408 KB Output is correct
91 Correct 241 ms 231612 KB Output is correct
92 Correct 223 ms 231872 KB Output is correct
93 Correct 250 ms 231744 KB Output is correct
94 Correct 227 ms 231748 KB Output is correct
95 Correct 262 ms 231616 KB Output is correct
96 Correct 230 ms 240316 KB Output is correct
97 Correct 255 ms 240320 KB Output is correct
98 Correct 243 ms 240316 KB Output is correct
99 Correct 247 ms 240420 KB Output is correct
100 Correct 242 ms 240604 KB Output is correct
101 Correct 246 ms 240328 KB Output is correct
102 Correct 258 ms 240284 KB Output is correct
103 Correct 248 ms 240320 KB Output is correct
104 Correct 240 ms 240272 KB Output is correct
105 Correct 238 ms 240240 KB Output is correct
106 Correct 233 ms 244672 KB Output is correct
107 Correct 250 ms 245468 KB Output is correct
108 Correct 232 ms 244552 KB Output is correct
109 Correct 240 ms 244564 KB Output is correct
110 Correct 233 ms 244548 KB Output is correct
111 Correct 243 ms 244508 KB Output is correct
112 Correct 253 ms 244968 KB Output is correct
113 Correct 249 ms 244536 KB Output is correct
114 Correct 242 ms 244672 KB Output is correct
115 Correct 242 ms 244672 KB Output is correct

Subtask #6
0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 75 ms 219076 KB Output is correct
2 Correct 69 ms 221080 KB Output is correct
3 Correct 68 ms 221080 KB Output is correct
4 Correct 69 ms 221120 KB Output is correct
5 Correct 77 ms 221124 KB Output is correct
6 Correct 72 ms 221120 KB Output is correct
7 Correct 69 ms 221120 KB Output is correct
8 Correct 77 ms 221256 KB Output is correct
9 Correct 75 ms 221124 KB Output is correct
10 Correct 65 ms 221124 KB Output is correct
11 Correct 71 ms 221028 KB Output is correct
12 Correct 72 ms 221120 KB Output is correct
13 Correct 78 ms 221036 KB Output is correct
14 Correct 112 ms 221140 KB Output is correct
15 Correct 164 ms 221120 KB Output is correct
16 Correct 185 ms 221248 KB Output is correct
17 Correct 219 ms 221124 KB Output is correct
18 Correct 194 ms 221112 KB Output is correct
19 Correct 235 ms 221256 KB Output is correct
20 Correct 183 ms 221216 KB Output is correct
21 Correct 188 ms 221124 KB Output is correct
22 Correct 192 ms 221124 KB Output is correct
23 Correct 192 ms 221364 KB Output is correct
24 Correct 189 ms 221132 KB Output is correct
25 Correct 185 ms 221224 KB Output is correct
26 Correct 76 ms 221172 KB Output is correct
27 Correct 76 ms 221124 KB Output is correct
28 Correct 82 ms 221124 KB Output is correct
29 Correct 115 ms 221196 KB Output is correct
30 Correct 153 ms 221044 KB Output is correct
31 Correct 191 ms 221120 KB Output is correct
32 Correct 194 ms 221124 KB Output is correct
33 Correct 187 ms 221120 KB Output is correct
34 Correct 201 ms 221024 KB Output is correct
35 Correct 196 ms 221124 KB Output is correct
36 Correct 207 ms 221120 KB Output is correct
37 Correct 205 ms 221220 KB Output is correct
38 Correct 196 ms 221120 KB Output is correct
39 Correct 199 ms 221052 KB Output is correct
40 Correct 202 ms 221120 KB Output is correct
41 Correct 74 ms 221076 KB Output is correct
42 Correct 76 ms 221124 KB Output is correct
43 Correct 79 ms 221124 KB Output is correct
44 Correct 79 ms 221120 KB Output is correct
45 Correct 80 ms 221028 KB Output is correct
46 Correct 89 ms 221272 KB Output is correct
47 Correct 106 ms 221248 KB Output is correct
48 Correct 106 ms 221120 KB Output is correct
49 Correct 133 ms 221168 KB Output is correct
50 Correct 172 ms 221124 KB Output is correct
51 Correct 221 ms 221124 KB Output is correct
52 Correct 220 ms 221120 KB Output is correct
53 Correct 219 ms 221248 KB Output is correct
54 Correct 219 ms 221120 KB Output is correct
55 Correct 225 ms 221120 KB Output is correct
56 Correct 221 ms 221124 KB Output is correct
57 Correct 221 ms 221124 KB Output is correct
58 Correct 215 ms 221120 KB Output is correct
59 Correct 220 ms 221120 KB Output is correct
60 Correct 220 ms 221120 KB Output is correct
61 Correct 221 ms 221120 KB Output is correct
62 Correct 240 ms 221120 KB Output is correct
63 Correct 241 ms 221072 KB Output is correct
64 Correct 211 ms 221124 KB Output is correct
65 Correct 216 ms 221264 KB Output is correct
66 Correct 227 ms 221160 KB Output is correct
67 Correct 222 ms 221124 KB Output is correct
68 Correct 227 ms 221124 KB Output is correct
69 Correct 235 ms 221124 KB Output is correct
70 Correct 244 ms 221120 KB Output is correct
71 Correct 101 ms 223272 KB Output is correct
72 Correct 107 ms 223172 KB Output is correct
73 Correct 112 ms 223124 KB Output is correct
74 Correct 110 ms 223176 KB Output is correct
75 Correct 116 ms 223168 KB Output is correct
76 Correct 125 ms 225248 KB Output is correct
77 Correct 134 ms 225216 KB Output is correct
78 Correct 130 ms 225220 KB Output is correct
79 Correct 129 ms 225220 KB Output is correct
80 Correct 125 ms 225308 KB Output is correct
81 Correct 178 ms 227348 KB Output is correct
82 Correct 175 ms 227280 KB Output is correct
83 Correct 171 ms 227272 KB Output is correct
84 Correct 183 ms 227268 KB Output is correct
85 Correct 178 ms 227268 KB Output is correct
86 Correct 174 ms 227312 KB Output is correct
87 Correct 167 ms 227264 KB Output is correct
88 Correct 170 ms 227268 KB Output is correct
89 Correct 175 ms 227268 KB Output is correct
90 Correct 164 ms 227408 KB Output is correct
91 Correct 241 ms 231612 KB Output is correct
92 Correct 223 ms 231872 KB Output is correct
93 Correct 250 ms 231744 KB Output is correct
94 Correct 227 ms 231748 KB Output is correct
95 Correct 262 ms 231616 KB Output is correct
96 Correct 230 ms 240316 KB Output is correct
97 Correct 255 ms 240320 KB Output is correct
98 Correct 243 ms 240316 KB Output is correct
99 Correct 247 ms 240420 KB Output is correct
100 Correct 242 ms 240604 KB Output is correct
101 Correct 246 ms 240328 KB Output is correct
102 Correct 258 ms 240284 KB Output is correct
103 Correct 248 ms 240320 KB Output is correct
104 Correct 240 ms 240272 KB Output is correct
105 Correct 238 ms 240240 KB Output is correct
106 Correct 233 ms 244672 KB Output is correct
107 Correct 250 ms 245468 KB Output is correct
108 Correct 232 ms 244552 KB Output is correct
109 Correct 240 ms 244564 KB Output is correct
110 Correct 233 ms 244548 KB Output is correct
111 Correct 243 ms 244508 KB Output is correct
112 Correct 253 ms 244968 KB Output is correct
113 Correct 249 ms 244536 KB Output is correct
114 Correct 242 ms 244672 KB Output is correct
115 Correct 242 ms 244672 KB Output is correct
116 Correct 1113 ms 222932 KB Output is correct
117 Correct 1129 ms 222940 KB Output is correct
118 Execution timed out 7067 ms 222660 KB Time limit exceeded
119 Halted 0 ms 0 KB -