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Submission #1019338

# Submission time Handle Problem Language Result Execution time Memory
1019338 2024-07-10T17:47:48 Z ttamx Pyramid Base (IOI08_pyramid_base) C++17
86 / 100
 5000 ms 134016 KB 
#include<bits/stdc++.h>

using namespace std;

const int N=1e6+5;
const int K=1<<21;
const int INF=INT_MAX/2;

int n,m,b,p;
vector<tuple<int,int,int>> add[N],del[N];

struct Block{
    int val,sz;
    bool operator<(const Block &b)const{
        return val<b.val||(val==b.val&&sz>b.sz);
    }
};

struct Info{
    int sz;
    Block mn,pre,suf;
    Info():sz(0),mn({INF,0}),pre({INF,0}),suf({INF,0}){}
    static Info single(){
        Info res;
        res.sz=1;
        res.mn=res.pre=res.suf={0,1};
        return res;
    }
    void apply(int v){
        mn.val+=v;
        pre.val+=v;
        suf.val+=v;
    }
    friend Info operator+(const Info &a,const Info &b){
        Info res;
        res.mn=min(a.mn,b.mn);
        if(a.suf.val==b.pre.val)res.mn=min(res.mn,{a.suf.val,a.suf.sz+b.pre.sz});
        res.pre=a.pre;
        if(a.pre.val==b.pre.val&&a.pre.sz==a.sz)res.pre.sz+=b.pre.sz;
        res.suf=b.suf;
        if(a.suf.val==b.suf.val&&b.suf.sz==b.sz)res.suf.sz+=a.suf.sz;
        res.sz=a.sz+b.sz;
        return res;
    }
};

struct SegTree{
    Info t[K];
    int lz[K];
    void apply(int i,int v){
        t[i].apply(v);
        lz[i]+=v;
    }
    void push(int i){
        apply(i*2,lz[i]);
        apply(i*2+1,lz[i]);
        lz[i]=0;
    }
    void pull(int i){
        t[i]=t[i*2]+t[i*2+1];
    }
    void build(int l,int r,int i){
        lz[i]=0;
        if(l==r)return t[i]=Info::single(),void();
        int m=(l+r)/2;
        build(l,m,i*2);
        build(m+1,r,i*2+1);
        pull(i);
    }
    void build(){
        build(1,n,1);
    }
    void update(int l,int r,int i,int x,int y,int v){
        if(y<l||r<x)return;
        if(x<=l&&r<=y)return apply(i,v);
        int m=(l+r)/2;
        push(i);
        update(l,m,i*2,x,y,v);
        update(m+1,r,i*2+1,x,y,v);
        pull(i);
    }
    void update(int x,int y,int v){
        update(1,n,1,x,y,v);
    }
    Info query(int l,int r,int i,int x,int y){
        if(y<l||r<x)return Info();
        if(x<=l&&r<=y)return t[i];
        int m=(l+r)/2;
        push(i);
        return query(l,m,i*2,x,y)+query(m+1,r,i*2+1,x,y);
    }
    Info query(int x,int y){
        return query(1,n,1,x,y);
    }
}seg;

bool check(int k){
    seg.build();
    for(int i=1;i<k;i++)for(auto [l,r,v]:add[i])seg.update(l,r+k-1,v);
    for(int i=k;i<=m;i++){
        for(auto [l,r,v]:add[i])seg.update(l,r+k-1,v);
        for(auto [l,r,v]:del[i-k])seg.update(l,r+k-1,-v);
        if(seg.query(k,n).mn.val<=b)return true;
    }
    return false;
}

int main(){
    cin.tie(nullptr)->sync_with_stdio(false);
    cin >> m >> n >> b >> p;
    for(int i=0;i<p;i++){
        int x1,y1,x2,y2,c;
        cin >> x1 >> y1 >> x2 >> y2 >> c;
        add[x1].emplace_back(y1,y2,c);
        del[x2].emplace_back(y1,y2,c);
    }
    if(b>0){
        int l=0,r=min(n,m);
        while(l<r){
            int m=(l+r+1)/2;
            if(check(m))l=m;
            else r=m-1;
        }
        cout << l;
    }else{
        seg.build();
        int top=0,bot=0,ans=0;
        while(bot<=m){
            auto x=seg.query(1,n).mn;
            int h=bot-top,w=x.val==0?x.sz:0;
            ans=max(ans,min(h,w));
            if(h<=w){
                bot++;
                for(auto [l,r,v]:add[bot])seg.update(l,r,v);
            }else{
                top++;
                for(auto [l,r,v]:del[top])seg.update(l,r,-v);
            }
        }
        cout << ans << "\n";
    }
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 36 ms 104772 KB Output is correct

Subtask #2
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 36 ms 104796 KB Output is correct

Subtask #3
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 38 ms 104788 KB Output is correct

Subtask #4
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 37 ms 104784 KB Output is correct

Subtask #5
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 41 ms 105880 KB Output is correct

Subtask #6
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 65 ms 113116 KB Output is correct
2 Correct 66 ms 112976 KB Output is correct

Subtask #7
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 64 ms 112924 KB Output is correct
2 Correct 67 ms 112976 KB Output is correct

Subtask #8
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 58 ms 105044 KB Output is correct
2 Correct 114 ms 105164 KB Output is correct
3 Correct 103 ms 105340 KB Output is correct

Subtask #9
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 398 ms 106576 KB Output is correct
2 Correct 740 ms 107168 KB Output is correct
3 Correct 818 ms 106832 KB Output is correct

Subtask #10
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1679 ms 114260 KB Output is correct
2 Correct 180 ms 106436 KB Output is correct
3 Correct 316 ms 114256 KB Output is correct
4 Correct 3583 ms 114936 KB Output is correct

Subtask #11
0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 3010 ms 114512 KB Output is correct
2 Execution timed out 5043 ms 115000 KB Time limit exceeded
3 Halted 0 ms 0 KB -

Subtask #12
0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2448 ms 114912 KB Output is correct
2 Execution timed out 5092 ms 115540 KB Time limit exceeded
3 Halted 0 ms 0 KB -

Subtask #13
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 501 ms 124244 KB Output is correct
2 Correct 291 ms 111920 KB Output is correct

Subtask #14
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 694 ms 129364 KB Output is correct
2 Correct 604 ms 126680 KB Output is correct
3 Correct 505 ms 121484 KB Output is correct

Subtask #15
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 893 ms 134016 KB Output is correct
2 Correct 1072 ms 132468 KB Output is correct
3 Correct 1130 ms 132544 KB Output is correct
4 Correct 910 ms 130872 KB Output is correct
5 Correct 736 ms 126088 KB Output is correct