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Submission #706997

# Submission time Handle Problem Language Result Execution time Memory
706997 2023-03-08T08:45:16 Z lam Progression (NOI20_progression) C++14
35 / 100
 309 ms 77768 KB 
#include <bits/stdc++.h>
#define int long long
using namespace std;
const int maxn = 3e5 + 10;
typedef pair<int,int> ii;
#define ff first
#define ss second

int n,m;
int D[maxn];

struct node
{
    int pre,suf,val_l,val_r,ans,sz;
};
inline node hop(node x, node y)
{
    if (x.val_l==-1e18) return y;
    if (y.val_l==-1e18) return x;
    node z;
    z.pre = x.pre;
    if (x.pre==x.sz&&x.val_r==y.val_l) z.pre = max(z.pre,x.sz+y.pre);
    z.suf = y.suf;
    if (y.suf==y.sz&&y.val_l==x.val_r) z.suf = max(z.suf,y.sz+x.suf);
    z.val_l = x.val_l; z.val_r = y.val_r;
    z.ans = max(x.ans, y.ans);
    if (x.val_r==y.val_l) z.ans = max(z.ans,x.suf+y.pre);
    z.sz = x.sz + y.sz;
    return z;
}

node f[4*maxn]; int lazy_sum[4*maxn], lazy_eq[4*maxn];

void pusheq(int x, int lx, int rx, int val)
{
    f[x].val_l = f[x].val_r = lazy_eq[x] = val; lazy_sum[x]=0;
    f[x].ans = f[x].pre = f[x].suf = f[x].sz = (rx-lx+1);
}

void pushsum(int x, int lx, int rx, int val)
{
    f[x].val_l += val; f[x].val_r += val; lazy_sum[x] += val;
}

void down(int x, int lx, int rx)
{
    if (lx==rx) return;
    int mid=(lx+rx)/2;
    if (lazy_eq[x]!=-1e18)
    {
        pusheq(2*x,lx,mid,lazy_eq[x]);
        pusheq(2*x+1,mid+1,rx,lazy_eq[x]);
        lazy_eq[x]=-1e18;
    }
    if (lazy_sum[x]!=0)
    {
        pushsum(2*x,lx,mid,lazy_sum[x]);
        pushsum(2*x+1,mid+1,rx,lazy_sum[x]);
        lazy_sum[x]=0;
    }
}

void add(int x, int lx, int rx, int l, int r, int val)
{
    if (lx>r||rx<l) return ;
    if (lx>=l&&rx<=r)
    {
        pushsum(x,lx,rx,val);
        return;
    }
    int mid=(lx+rx)/2;
    down(x,lx,rx);
    add(2*x,lx,mid,l,r,val);
    add(2*x+1,mid+1,rx,l,r,val);
    f[x]=hop(f[2*x],f[2*x+1]);
}

void update_eq(int x, int lx, int rx, int l, int r, int val)
{
    if (lx>r||rx<l) return ;
    if (lx>=l&&rx<=r)
    {
        pusheq(x,lx,rx,val);
        return;
    }
    int mid=(lx+rx)/2; down(x,lx,rx);
    update_eq(2*x,lx,mid,l,r,val);
    update_eq(2*x+1,mid+1,rx,l,r,val);
    f[x]=hop(f[2*x],f[2*x+1]);
}

void update(int x, int lx, int rx, int idx, int val)
{
    if (lx==rx)
    {
        pusheq(x,lx,rx,val);
        return;
    }
    int mid=(lx+rx)/2;
    down(x,lx,rx);
    if (idx<=mid) update(2*x,lx,mid,idx,val);
        else update(2*x+1,mid+1,rx,idx,val);
    f[x]=hop(f[2*x],f[2*x+1]);
}

node get(int x, int lx, int rx, int l, int r)
{
    if (lx>r||rx<l) return {0,0,(int)-1e18,(int)-1e18,0,0};
    if (lx>=l&&rx<=r) return f[x];
    int mid=(lx+rx)/2;
    down(x,lx,rx);
    return hop(get(2*x,lx,mid,l,r),get(2*x+1,mid+1,rx,l,r));
}

struct line
{
    int a,b;
};
inline int calc(line x, int idx)
{
    return x.a*idx + x.b;
}
line seg[4*maxn],lazyeq[4*maxn],lazysum[4*maxn];

void pusheq_lichao(int x, int lx, int rx, line val)
{
    seg[x]=lazyeq[x]=val; lazysum[x]={0,0};
}
void pushsum_lichao(int x, int lx, int rx, line val)
{
    seg[x].a+=val.a; seg[x].b+=val.b;
    lazysum[x].a+=val.a; lazysum[x].b+=val.b;
}

void down_lichao(int x, int lx, int rx)
{
    if (lx==rx) return;
    int mid=(lx+rx)/2;
    if (lazyeq[x].a!=-1e18)
    {
        pusheq_lichao(2*x,lx,mid,lazyeq[x]);
        pusheq_lichao(2*x+1,mid+1,rx,lazyeq[x]);
        lazyeq[x]={(int)-1e18,(int)-1e18};
    }
    if (lazysum[x].a!=0||lazysum[x].b!=0)
    {
        pushsum_lichao(2*x,lx,mid,lazysum[x]);
        pushsum_lichao(2*x+1,mid+1,rx,lazysum[x]);
        lazysum[x]={0,0};
    }
}

void add_lichao(int x, int lx, int rx, int l, int r, line val)
{
    if (lx>r||rx<l) return ;
    if (lx>=l&&rx<=r)
    {
        pushsum_lichao(x,lx,rx,val);
        return;
    }
    int mid=(lx+rx)/2;
    down_lichao(x,lx,rx);
    add_lichao(2*x,lx,mid,l,r,val);
    add_lichao(2*x+1,mid+1,rx,l,r,val);
}

void update_lichao(int x, int lx, int rx, int l, int r, line val)
{
    if (lx>r||rx<l) return;
    if (lx>=l&&rx<=r)
    {
        pusheq_lichao(x,lx,rx,val);
        return;
    }
    int mid=(lx+rx)/2;
    down_lichao(x,lx,rx);
    update_lichao(2*x,lx,mid,l,r,val);
    update_lichao(2*x+1,mid+1,rx,l,r,val);
}

line qry(int x, int lx, int rx, int idx)
{
    if (lx==rx) return seg[x];
    int mid=(lx+rx)/2;
    down_lichao(x,lx,rx);
    if (idx<=mid) return qry(2*x,lx,mid,idx);
    else return qry(2*x+1,mid+1,rx,idx);
}

void build(int x, int lx, int rx)
{
    lazy_eq[x]=-1e18;
    lazy_sum[x]=0;
    if (lx==rx)
    {
        pusheq(x,lx,rx,D[lx]-D[lx-1]);
        return;
    }
    int mid=(lx+rx)/2;
    build(2*x,lx,mid); build(2*x+1,mid+1,rx);
    f[x]=hop(f[2*x],f[2*x+1]);
}

void build_lichao(int x, int lx, int rx)
{
    lazyeq[x]={(int)-1e18,(int)-1e18};
    lazysum[x]={0,0};
    if (lx==rx)
    {
        pusheq_lichao(x,lx,rx,{0,D[lx]});
        return;
    }
    int mid=(lx+rx)/2;
    build_lichao(2*x,lx,mid); build_lichao(2*x+1,mid+1,rx);
}

//void dbg(int x, int lx, int rx)
//{
//    cout<<x<<' '<<lx<<' '<<rx<<" = "<<f[x].val_l<<' '<<f[x].val_r<<" , "<<f[x].pre<<' '<<f[x].suf<<" , "<<f[x].sz<<' '<<f[x].ans<<" :: "<<lazy_eq[x]<<' '<<lazy_sum[x]<<'\n';
//    if (lx==rx) return;
//    int mid=(lx+rx)/2;
//    dbg(2*x,lx,mid);
//    dbg(2*x+1,mid+1,rx);
//}
//void dbg_lichao(int x, int lx, int rx)
//{
//    cout<<x<<' '<<lx<<' '<<rx<<" = "<<seg[x].a<<' '<<seg[x].b<<" , "<<lazysum[x].a<<' '<<lazysum[x].b<<" , "<<lazyeq[x].a<<' '<<lazyeq[x].b<<'\n';
//    if (lx==rx) return;
//    int mid=(lx+rx)/2;
//    dbg_lichao(2*x,lx,mid);
//    dbg_lichao(2*x+1,mid+1,rx);
//}

void sub1()
{
    for (int i=1; i<=m; i++)
    {
        int t,l,r; cin>>t>>l>>r;
        if (t==3) cout<<"1\n";
    }
}

signed main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr); cout.tie(nullptr);
    cin>>n>>m;
    for (int i=1; i<=n; i++) cin>>D[i];
    if (n==1)
    {
        sub1();
        return 0;
    }
    build(1,2,n);
//    build_lichao(1,1,n);
    bool has=0;
    for (int i=1; i<=m; i++)
    {
        int t; cin>>t;
        if (t==1)
        {
            int l,r,S,C; cin>>l>>r>>S>>C;
//            line temp = {C, S-l*C};
//            add(1,2,n,l+1,r,C);
//            add_lichao(1,1,n,l,r,temp);
//            if (l>1) update(1,2,n,l,calc(qry(1,1,n,l),l) - calc(qry(1,1,n,l-1),l-1));
//            if (r<n) update(1,2,n,r+1,calc(qry(1,1,n,r+1),r+1) - calc(qry(1,1,n,r),r));
//            cout<<l<<" :: "<<calc(qry(1,1,n,l),l)<<'\n';
//            cout<<r<<" :: "<<calc(qry(1,1,n,r),r)<<'\n';
        }
        else if (t==2)
        {
            int l,r,S,C; cin>>l>>r>>S>>C;
            has=1;
//            line temp = {C, S-l*C};
//            update_eq(1,2,n,l+1,r,C);
//            update_lichao(1,1,n,l,r,temp);
//            if (l>1) update(1,2,n,l,calc(qry(1,1,n,l),l) - calc(qry(1,1,n,l-1),l-1));
//            if (r<n) update(1,2,n,r+1,calc(qry(1,1,n,r+1),r+1) - calc(qry(1,1,n,r),r));
        }
        else
        {
            int l,r; cin>>l>>r;
            if (has)
            {
                cout<<r-l+1<<'\n';
                continue;
            }
            node temp = get(1,2,n,l+1,r);
            int ans = temp.ans + 1;
            cout<<ans<<'\n';
        }
//        dbg(1,2,n);
//        cout<<" ========= \n";
//        dbg_lichao(1,1,n);
//        cout<<"---------------------------\n";
//        cout<<"---------------------------\n";
//        cout<<"---------------------------\n";
    }
}
/**
10 3
1 2 3 4 1 2 3 4 5 5
3 1 10
1 2 8 1 2
3 2 9
2 1 10 3 4
3 1 10
**/

Subtask #1
0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 142 ms 68940 KB Output is correct
2 Correct 68 ms 596 KB Output is correct
3 Correct 86 ms 660 KB Output is correct
4 Correct 73 ms 624 KB Output is correct
5 Correct 69 ms 700 KB Output is correct
6 Correct 67 ms 716 KB Output is correct
7 Correct 67 ms 628 KB Output is correct
8 Incorrect 1 ms 340 KB Output isn't correct
9 Halted 0 ms 0 KB -

Subtask #2
0 / 15.0

# Verdict Execution time Memory Grader output
1 Incorrect 1 ms 468 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #3
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 309 ms 69444 KB Output is correct
2 Correct 82 ms 936 KB Output is correct
3 Correct 78 ms 872 KB Output is correct
4 Correct 74 ms 840 KB Output is correct
5 Correct 78 ms 948 KB Output is correct
6 Correct 78 ms 1004 KB Output is correct
7 Correct 97 ms 1012 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 298 ms 74120 KB Output is correct
12 Correct 294 ms 75392 KB Output is correct
13 Correct 295 ms 74000 KB Output is correct
14 Correct 292 ms 74048 KB Output is correct
15 Correct 301 ms 75372 KB Output is correct
16 Correct 299 ms 75912 KB Output is correct
17 Correct 306 ms 75944 KB Output is correct
18 Correct 284 ms 75960 KB Output is correct
19 Correct 263 ms 75360 KB Output is correct
20 Correct 260 ms 75324 KB Output is correct
21 Correct 249 ms 75328 KB Output is correct

Subtask #4
0 / 11.0

# Verdict Execution time Memory Grader output
1 Incorrect 156 ms 68812 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #5
0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 309 ms 69444 KB Output is correct
2 Correct 82 ms 936 KB Output is correct
3 Correct 78 ms 872 KB Output is correct
4 Correct 74 ms 840 KB Output is correct
5 Correct 78 ms 948 KB Output is correct
6 Correct 78 ms 1004 KB Output is correct
7 Correct 97 ms 1012 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 298 ms 74120 KB Output is correct
12 Correct 294 ms 75392 KB Output is correct
13 Correct 295 ms 74000 KB Output is correct
14 Correct 292 ms 74048 KB Output is correct
15 Correct 301 ms 75372 KB Output is correct
16 Correct 299 ms 75912 KB Output is correct
17 Correct 306 ms 75944 KB Output is correct
18 Correct 284 ms 75960 KB Output is correct
19 Correct 263 ms 75360 KB Output is correct
20 Correct 260 ms 75324 KB Output is correct
21 Correct 249 ms 75328 KB Output is correct
22 Incorrect 299 ms 77768 KB Output isn't correct
23 Halted 0 ms 0 KB -

Subtask #6
0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 142 ms 68940 KB Output is correct
2 Correct 68 ms 596 KB Output is correct
3 Correct 86 ms 660 KB Output is correct
4 Correct 73 ms 624 KB Output is correct
5 Correct 69 ms 700 KB Output is correct
6 Correct 67 ms 716 KB Output is correct
7 Correct 67 ms 628 KB Output is correct
8 Incorrect 1 ms 340 KB Output isn't correct
9 Halted 0 ms 0 KB -