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Submission #1051515

# Submission time Handle Problem Language Result Execution time Memory
1051515 2024-08-10T07:41:46 Z isaachew Bitaro, who Leaps through Time (JOI19_timeleap) C++17
100 / 100
 482 ms 67664 KB 
#include <bits/stdc++.h>
/*
 "Tree segtree" (HLD)
 
 Backwards?
 Intervals overlap -> fine
 Intervals do not overlap -> single point
 
 */
struct node{
    long long delay,min,max,start,back;//max(min(x+delay,max),min) (max is when num. leaps start increasing)
    node(long long a=0,long long b=-1e18,long long c=1e18,long long d=1e18,long long e=0){
        delay=a,min=b,max=c,start=d,back=e;
    }
    node combine(node oth){
        node undel=node(delay+oth.delay,min+oth.delay,max+oth.delay,start+oth.delay,back+oth.back);//put oth's delay at start
        long long fmin=std::max(std::min(undel.min,oth.max),oth.min);//clamp to next one
        long long fmax=std::max(std::min(undel.max,oth.max),oth.min);//clamp to next one
        long long fstart=min==max?undel.start:std::min(std::max(oth.start,undel.min),undel.max);//clamp to this one if there is a range, otherwise just use this start
        long long fback=std::min((long long)1e18,back+oth.back+std::max(0ll,undel.min-oth.start));//cap for overflow
        return node(delay+oth.delay,fmin,fmax,fstart,fback);
    }
    long long nleaps(long long st,long long et){
        long long stdest=std::max(std::min(st+delay,max),min);
        return std::max((st+delay)-start,0ll)+std::max(stdest-et,0ll)+back;
    }
};
struct segtree{
    int size;
    std::vector<node> nodes,rnodes;//one forward, one reverse
    segtree(int n){
        size=n;
        nodes.resize(2*n-1);
        rnodes.resize(2*n-1);
    }
    void update(int p,node val,int nl,int nr,int ni){
        if(p<nl||p>=nr)return;
        if(nl+1>=nr){
            nodes[ni]=val;
            rnodes[ni]=val;
            return;
        }
        int nm=(nl+nr)/2;
        update(p,val,nl,nm,ni+1);
        update(p,val,nm,nr,ni+2*(nm-nl));
        nodes[ni]=nodes[ni+1].combine(nodes[ni+2*(nm-nl)]);
        rnodes[ni]=rnodes[ni+2*(nm-nl)].combine(rnodes[ni+1]);
    }
    void update(int p,node val){update(p,val,0,size,0);}
    node query(int l,int r,int nl,int nr,int ni){
        if(l>=nr||r<=nl)return node();
        if(l<=nl&&r>=nr)return nodes[ni];
        int nm=(nl+nr)/2;
        node res1=query(l,r,nl,nm,ni+1);
        node res2=query(l,r,nm,nr,ni+2*(nm-nl));
        return res1.combine(res2);
    }
    node query(int l,int r){return query(l,r,0,size,0);}
    node rquery(int l,int r,int nl,int nr,int ni){
        if(l>=nr||r<=nl)return node();
        if(l<=nl&&r>=nr)return rnodes[ni];
        int nm=(nl+nr)/2;
        node res1=rquery(l,r,nl,nm,ni+1);
        node res2=rquery(l,r,nm,nr,ni+2*(nm-nl));
        return res2.combine(res1);
    }
    node rquery(int l,int r){return rquery(l,r,0,size,0);}
};

int main(){
    std::ios::sync_with_stdio(0);
    std::cin.tie(0);
    int n,q;
    std::cin>>n>>q;
    segtree seg(n);
    for(int i=0;i<n-1;i++){
        int a,b;
        std::cin>>a>>b;
        seg.update(i,node(1,a+1,b,b));
    }
    for(int i=0;i<q;i++){
        int x;
        std::cin>>x;
        if(x==1){
            int p,s,e;
            std::cin>>p>>s>>e;
            p--;
            seg.update(p,node(1,s+1,e,e));
        }else{
            int a,b,c,d;
            std::cin>>a>>b>>c>>d;
            a--,c--;
            if(a<c){
                std::cout<<seg.query(a,c).nleaps(b,d)<<'\n';
            }else{
                std::cout<<seg.rquery(c,a).nleaps(b,d)<<'\n';
            }
        }
    }
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 1 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 460 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 604 KB Output is correct
12 Correct 1 ms 600 KB Output is correct
13 Correct 1 ms 600 KB Output is correct
14 Correct 1 ms 604 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 1 ms 604 KB Output is correct
17 Correct 1 ms 660 KB Output is correct
18 Correct 1 ms 604 KB Output is correct
19 Correct 1 ms 468 KB Output is correct
20 Correct 2 ms 860 KB Output is correct
21 Correct 1 ms 604 KB Output is correct
22 Correct 1 ms 472 KB Output is correct
23 Correct 1 ms 604 KB Output is correct
24 Correct 1 ms 640 KB Output is correct
25 Correct 1 ms 604 KB Output is correct
26 Correct 2 ms 600 KB Output is correct
27 Correct 1 ms 464 KB Output is correct
28 Correct 1 ms 656 KB Output is correct
29 Correct 1 ms 604 KB Output is correct
30 Correct 1 ms 604 KB Output is correct
31 Correct 1 ms 468 KB Output is correct
32 Correct 1 ms 604 KB Output is correct
33 Correct 1 ms 604 KB Output is correct
34 Correct 2 ms 472 KB Output is correct
35 Correct 1 ms 604 KB Output is correct
36 Correct 1 ms 604 KB Output is correct
37 Correct 1 ms 604 KB Output is correct
38 Correct 1 ms 604 KB Output is correct
39 Correct 1 ms 604 KB Output is correct
40 Correct 1 ms 604 KB Output is correct
41 Correct 0 ms 348 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 480 ms 63064 KB Output is correct
2 Correct 424 ms 60156 KB Output is correct
3 Correct 418 ms 60756 KB Output is correct
4 Correct 406 ms 59220 KB Output is correct
5 Correct 428 ms 63056 KB Output is correct
6 Correct 417 ms 62036 KB Output is correct
7 Correct 424 ms 63572 KB Output is correct
8 Correct 451 ms 66020 KB Output is correct
9 Correct 404 ms 60024 KB Output is correct
10 Correct 463 ms 63440 KB Output is correct
11 Correct 430 ms 63060 KB Output is correct
12 Correct 442 ms 66744 KB Output is correct
13 Correct 455 ms 67664 KB Output is correct
14 Correct 0 ms 344 KB Output is correct

Subtask #3
66.0 / 66.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 1 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 460 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 604 KB Output is correct
12 Correct 1 ms 600 KB Output is correct
13 Correct 1 ms 600 KB Output is correct
14 Correct 1 ms 604 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 1 ms 604 KB Output is correct
17 Correct 1 ms 660 KB Output is correct
18 Correct 1 ms 604 KB Output is correct
19 Correct 1 ms 468 KB Output is correct
20 Correct 2 ms 860 KB Output is correct
21 Correct 1 ms 604 KB Output is correct
22 Correct 1 ms 472 KB Output is correct
23 Correct 1 ms 604 KB Output is correct
24 Correct 1 ms 640 KB Output is correct
25 Correct 1 ms 604 KB Output is correct
26 Correct 2 ms 600 KB Output is correct
27 Correct 1 ms 464 KB Output is correct
28 Correct 1 ms 656 KB Output is correct
29 Correct 1 ms 604 KB Output is correct
30 Correct 1 ms 604 KB Output is correct
31 Correct 1 ms 468 KB Output is correct
32 Correct 1 ms 604 KB Output is correct
33 Correct 1 ms 604 KB Output is correct
34 Correct 2 ms 472 KB Output is correct
35 Correct 1 ms 604 KB Output is correct
36 Correct 1 ms 604 KB Output is correct
37 Correct 1 ms 604 KB Output is correct
38 Correct 1 ms 604 KB Output is correct
39 Correct 1 ms 604 KB Output is correct
40 Correct 1 ms 604 KB Output is correct
41 Correct 0 ms 348 KB Output is correct
42 Correct 480 ms 63064 KB Output is correct
43 Correct 424 ms 60156 KB Output is correct
44 Correct 418 ms 60756 KB Output is correct
45 Correct 406 ms 59220 KB Output is correct
46 Correct 428 ms 63056 KB Output is correct
47 Correct 417 ms 62036 KB Output is correct
48 Correct 424 ms 63572 KB Output is correct
49 Correct 451 ms 66020 KB Output is correct
50 Correct 404 ms 60024 KB Output is correct
51 Correct 463 ms 63440 KB Output is correct
52 Correct 430 ms 63060 KB Output is correct
53 Correct 442 ms 66744 KB Output is correct
54 Correct 455 ms 67664 KB Output is correct
55 Correct 0 ms 344 KB Output is correct
56 Correct 446 ms 59456 KB Output is correct
57 Correct 447 ms 55892 KB Output is correct
58 Correct 446 ms 60784 KB Output is correct
59 Correct 406 ms 61528 KB Output is correct
60 Correct 392 ms 57604 KB Output is correct
61 Correct 402 ms 62804 KB Output is correct
62 Correct 431 ms 62544 KB Output is correct
63 Correct 451 ms 62420 KB Output is correct
64 Correct 438 ms 63016 KB Output is correct
65 Correct 452 ms 60120 KB Output is correct
66 Correct 399 ms 60348 KB Output is correct
67 Correct 406 ms 62544 KB Output is correct
68 Correct 396 ms 57988 KB Output is correct
69 Correct 413 ms 64108 KB Output is correct
70 Correct 402 ms 57836 KB Output is correct
71 Correct 386 ms 55536 KB Output is correct
72 Correct 454 ms 57432 KB Output is correct
73 Correct 436 ms 62688 KB Output is correct
74 Correct 482 ms 62896 KB Output is correct
75 Correct 416 ms 63904 KB Output is correct
76 Correct 413 ms 64472 KB Output is correct
77 Correct 0 ms 348 KB Output is correct