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Submission #1019341

# Submission time Handle Problem Language Result Execution time Memory
1019341 2024-07-10T17:53:19 Z ttamx Pyramid Base (IOI08_pyramid_base) C++17
100 / 100
 1138 ms 143352 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];

namespace SUB2{

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

bool check(int k){
    seg.build();
    seg.update(1,k-1,INF);
    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.t[1]<=b)return true;
    }
    return false;
}

inline void solve(){
    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;
}

}

namespace SUB3{

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);
    }
}seg;

inline void solve(){
    seg.build();
    int top=0,bot=0,ans=0;
    while(bot<=m){
        auto x=seg.t[1].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";
}

}

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)SUB2::solve();
    else SUB3::solve();
}

Subtask #1
5.0 / 5.0

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

Subtask #2
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 38 ms 104784 KB Output is correct

Subtask #3
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 37 ms 104788 KB Output is correct

Subtask #4
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 43 ms 105040 KB Output is correct

Subtask #5
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 40 ms 105808 KB Output is correct

Subtask #6
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 57 ms 112984 KB Output is correct
2 Correct 62 ms 112976 KB Output is correct

Subtask #7
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 57 ms 112980 KB Output is correct
2 Correct 58 ms 112984 KB Output is correct

Subtask #8
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 47 ms 105296 KB Output is correct
2 Correct 62 ms 105320 KB Output is correct
3 Correct 57 ms 105296 KB Output is correct

Subtask #9
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 124 ms 108112 KB Output is correct
2 Correct 193 ms 108116 KB Output is correct
3 Correct 167 ms 108100 KB Output is correct

Subtask #10
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 262 ms 123008 KB Output is correct
2 Correct 62 ms 106416 KB Output is correct
3 Correct 118 ms 122448 KB Output is correct
4 Correct 319 ms 122964 KB Output is correct

Subtask #11
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 391 ms 123552 KB Output is correct
2 Correct 550 ms 123220 KB Output is correct
3 Correct 295 ms 123472 KB Output is correct

Subtask #12
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 402 ms 123984 KB Output is correct
2 Correct 675 ms 123740 KB Output is correct
3 Correct 669 ms 123856 KB Output is correct
4 Correct 708 ms 123732 KB Output is correct
5 Correct 726 ms 123872 KB Output is correct
6 Correct 313 ms 123928 KB Output is correct

Subtask #13
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 503 ms 128944 KB Output is correct
2 Correct 276 ms 116308 KB Output is correct

Subtask #14
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 752 ms 136540 KB Output is correct
2 Correct 713 ms 133312 KB Output is correct
3 Correct 573 ms 127716 KB Output is correct

Subtask #15
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 932 ms 143352 KB Output is correct
2 Correct 1138 ms 141068 KB Output is correct
3 Correct 1070 ms 140992 KB Output is correct
4 Correct 931 ms 139500 KB Output is correct
5 Correct 762 ms 134456 KB Output is correct