#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef double db;
#define x first
#define y second
#define bg begin()
#define ed end()
#define pb push_back
#define mp make_pair
#define sz(a) int((a).size())
#define R(i,n) for(int i(0);i<(n);++i)
#define L(i,n) for(int i((n)-1);i>=0;--i)
const int iinf=0x3f3f3f3f;
const ll linf=0x3f3f3f3f3f3f3f3f;
//Data
const int N=1e5;
int m,n;
ll f[N];
struct info{
int t,l,r,c;
info(){}
info(int t,int l,int r,int c):
t(t),l(l),r(r),c(c){}
}a[N];
//Graph
/*
思考:什么时候 i 后面可以接 j?
a[i].r-a[j].l>=abs(a[i].t-a[j].t)
如果 a[j].t<a[i].t,要求就是
a[i].r-a[i].t>=a[j].l-a[j].t ->up
如果 a[j].t>a[i].t,要求就是
a[i].r+a[i].t>=a[j].l+a[j].t ->dn
这题有个关键点:权在点上,所以 dijkstra 可以爽一点
*/
vector<int> adj; // 记得清空
priority_queue<pair<ll,int>> q;
//SegmentTree
struct tree{
int l,r,mid,ma,mb; tree *ls,*rs;
tree(int l,int r):l(l),r(r),ma(iinf*2),mb(iinf*2){
if(r-l==1) return;
mid=(l+r)>>1,ls=new tree(l,mid),rs=new tree(mid,r);
}
void pushup(){
ma=min(ls->ma,rs->ma);
mb=min(ls->mb,rs->mb);
}
void fix(int i,int a,int b){
if(r-l==1) return ma=a,mb=b,void();
i<mid?ls->fix(i,a,b):rs->fix(i,a,b),pushup();
}
void adde(int x,int y,int mx,bool t){
if((t?ma:mb)>mx) return;
if(r-l==1) return ma=mb=iinf*2,adj.pb(l);
if(x<mid) ls->adde(x,y,mx,t);
if(y>mid) rs->adde(x,y,mx,t);
pushup();
}
};
//Function
//Main
int main(){
ios::sync_with_stdio(false);
cin.tie(0),cout.tie(0);
cin>>m>>n;
R(i,n) cin>>a[i].t>>a[i].l>>a[i].r>>a[i].c,--a[i].t,--a[i].l;
sort(a,a+n,[&](info p,info q){return p.t<q.t;});
tree *rt=new tree(0,n);
R(i,n){
if(a[i].l==0) f[i]=a[i].c,
q.push(mp(-f[i],i)),rt->fix(i,iinf*2,iinf*2);
else rt->fix(i,a[i].l-a[i].t,a[i].l+a[i].t),f[i]=linf;
}
vector<int> vis(n + 1);
while(sz(q)){
int u=q.top().y; q.pop(),adj.clear();
vis[u] = 1;
rt->adde(0,u,a[u].r-a[u].t,true);
rt->adde(u+1,n,a[u].r+a[u].t,false);
for(int v:adj) assert(!vis[v]), f[v]=f[u]+a[v].c,q.push(mp(-f[v],v));
}
ll ns=linf;
R(i,n)if(a[i].r==m) ns=min(ns,f[i]);
if(ns==linf) ns=-1;
cout<<ns<<'\n';
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
75 ms |
15696 KB |
Output is correct |
2 |
Correct |
57 ms |
15764 KB |
Output is correct |
3 |
Correct |
72 ms |
15976 KB |
Output is correct |
4 |
Correct |
66 ms |
15308 KB |
Output is correct |
5 |
Correct |
60 ms |
17872 KB |
Output is correct |
6 |
Correct |
70 ms |
15700 KB |
Output is correct |
7 |
Correct |
75 ms |
15440 KB |
Output is correct |
8 |
Correct |
42 ms |
15564 KB |
Output is correct |
9 |
Correct |
39 ms |
15440 KB |
Output is correct |
10 |
Correct |
50 ms |
15440 KB |
Output is correct |
11 |
Correct |
59 ms |
17984 KB |
Output is correct |
12 |
Correct |
55 ms |
19144 KB |
Output is correct |
13 |
Correct |
69 ms |
17628 KB |
Output is correct |
14 |
Correct |
81 ms |
17620 KB |
Output is correct |
15 |
Correct |
69 ms |
15696 KB |
Output is correct |
16 |
Correct |
72 ms |
15700 KB |
Output is correct |
17 |
Correct |
68 ms |
14808 KB |
Output is correct |
18 |
Correct |
52 ms |
17356 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
2396 KB |
Output is correct |
2 |
Correct |
1 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
0 ms |
2396 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
0 ms |
2396 KB |
Output is correct |
7 |
Correct |
0 ms |
2396 KB |
Output is correct |
8 |
Correct |
0 ms |
2396 KB |
Output is correct |
9 |
Correct |
1 ms |
2396 KB |
Output is correct |
10 |
Correct |
0 ms |
2396 KB |
Output is correct |
11 |
Correct |
1 ms |
2396 KB |
Output is correct |
12 |
Correct |
1 ms |
2396 KB |
Output is correct |
13 |
Correct |
0 ms |
2396 KB |
Output is correct |
14 |
Correct |
1 ms |
2392 KB |
Output is correct |
15 |
Correct |
1 ms |
2396 KB |
Output is correct |
16 |
Correct |
1 ms |
2392 KB |
Output is correct |
17 |
Correct |
1 ms |
2396 KB |
Output is correct |
18 |
Correct |
0 ms |
2396 KB |
Output is correct |
19 |
Correct |
0 ms |
2396 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
2396 KB |
Output is correct |
2 |
Correct |
1 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
0 ms |
2396 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
0 ms |
2396 KB |
Output is correct |
7 |
Correct |
0 ms |
2396 KB |
Output is correct |
8 |
Correct |
0 ms |
2396 KB |
Output is correct |
9 |
Correct |
1 ms |
2396 KB |
Output is correct |
10 |
Correct |
0 ms |
2396 KB |
Output is correct |
11 |
Correct |
1 ms |
2396 KB |
Output is correct |
12 |
Correct |
1 ms |
2396 KB |
Output is correct |
13 |
Correct |
0 ms |
2396 KB |
Output is correct |
14 |
Correct |
1 ms |
2392 KB |
Output is correct |
15 |
Correct |
1 ms |
2396 KB |
Output is correct |
16 |
Correct |
1 ms |
2392 KB |
Output is correct |
17 |
Correct |
1 ms |
2396 KB |
Output is correct |
18 |
Correct |
0 ms |
2396 KB |
Output is correct |
19 |
Correct |
0 ms |
2396 KB |
Output is correct |
20 |
Correct |
4 ms |
3144 KB |
Output is correct |
21 |
Correct |
5 ms |
3164 KB |
Output is correct |
22 |
Correct |
4 ms |
3160 KB |
Output is correct |
23 |
Correct |
4 ms |
3164 KB |
Output is correct |
24 |
Correct |
3 ms |
3256 KB |
Output is correct |
25 |
Correct |
4 ms |
3160 KB |
Output is correct |
26 |
Correct |
4 ms |
3164 KB |
Output is correct |
27 |
Correct |
4 ms |
3176 KB |
Output is correct |
28 |
Correct |
4 ms |
3164 KB |
Output is correct |
29 |
Correct |
4 ms |
3152 KB |
Output is correct |
30 |
Correct |
3 ms |
3164 KB |
Output is correct |
31 |
Correct |
4 ms |
3144 KB |
Output is correct |
32 |
Correct |
5 ms |
3420 KB |
Output is correct |
33 |
Correct |
3 ms |
3396 KB |
Output is correct |
34 |
Correct |
4 ms |
3148 KB |
Output is correct |
35 |
Correct |
3 ms |
3420 KB |
Output is correct |
36 |
Correct |
4 ms |
3688 KB |
Output is correct |
37 |
Correct |
3 ms |
3160 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
75 ms |
15696 KB |
Output is correct |
2 |
Correct |
57 ms |
15764 KB |
Output is correct |
3 |
Correct |
72 ms |
15976 KB |
Output is correct |
4 |
Correct |
66 ms |
15308 KB |
Output is correct |
5 |
Correct |
60 ms |
17872 KB |
Output is correct |
6 |
Correct |
70 ms |
15700 KB |
Output is correct |
7 |
Correct |
75 ms |
15440 KB |
Output is correct |
8 |
Correct |
42 ms |
15564 KB |
Output is correct |
9 |
Correct |
39 ms |
15440 KB |
Output is correct |
10 |
Correct |
50 ms |
15440 KB |
Output is correct |
11 |
Correct |
59 ms |
17984 KB |
Output is correct |
12 |
Correct |
55 ms |
19144 KB |
Output is correct |
13 |
Correct |
69 ms |
17628 KB |
Output is correct |
14 |
Correct |
81 ms |
17620 KB |
Output is correct |
15 |
Correct |
69 ms |
15696 KB |
Output is correct |
16 |
Correct |
72 ms |
15700 KB |
Output is correct |
17 |
Correct |
68 ms |
14808 KB |
Output is correct |
18 |
Correct |
52 ms |
17356 KB |
Output is correct |
19 |
Correct |
1 ms |
2396 KB |
Output is correct |
20 |
Correct |
1 ms |
2396 KB |
Output is correct |
21 |
Correct |
1 ms |
2396 KB |
Output is correct |
22 |
Correct |
0 ms |
2396 KB |
Output is correct |
23 |
Correct |
1 ms |
2396 KB |
Output is correct |
24 |
Correct |
0 ms |
2396 KB |
Output is correct |
25 |
Correct |
0 ms |
2396 KB |
Output is correct |
26 |
Correct |
0 ms |
2396 KB |
Output is correct |
27 |
Correct |
1 ms |
2396 KB |
Output is correct |
28 |
Correct |
0 ms |
2396 KB |
Output is correct |
29 |
Correct |
1 ms |
2396 KB |
Output is correct |
30 |
Correct |
1 ms |
2396 KB |
Output is correct |
31 |
Correct |
0 ms |
2396 KB |
Output is correct |
32 |
Correct |
1 ms |
2392 KB |
Output is correct |
33 |
Correct |
1 ms |
2396 KB |
Output is correct |
34 |
Correct |
1 ms |
2392 KB |
Output is correct |
35 |
Correct |
1 ms |
2396 KB |
Output is correct |
36 |
Correct |
0 ms |
2396 KB |
Output is correct |
37 |
Correct |
0 ms |
2396 KB |
Output is correct |
38 |
Correct |
4 ms |
3144 KB |
Output is correct |
39 |
Correct |
5 ms |
3164 KB |
Output is correct |
40 |
Correct |
4 ms |
3160 KB |
Output is correct |
41 |
Correct |
4 ms |
3164 KB |
Output is correct |
42 |
Correct |
3 ms |
3256 KB |
Output is correct |
43 |
Correct |
4 ms |
3160 KB |
Output is correct |
44 |
Correct |
4 ms |
3164 KB |
Output is correct |
45 |
Correct |
4 ms |
3176 KB |
Output is correct |
46 |
Correct |
4 ms |
3164 KB |
Output is correct |
47 |
Correct |
4 ms |
3152 KB |
Output is correct |
48 |
Correct |
3 ms |
3164 KB |
Output is correct |
49 |
Correct |
4 ms |
3144 KB |
Output is correct |
50 |
Correct |
5 ms |
3420 KB |
Output is correct |
51 |
Correct |
3 ms |
3396 KB |
Output is correct |
52 |
Correct |
4 ms |
3148 KB |
Output is correct |
53 |
Correct |
3 ms |
3420 KB |
Output is correct |
54 |
Correct |
4 ms |
3688 KB |
Output is correct |
55 |
Correct |
3 ms |
3160 KB |
Output is correct |
56 |
Correct |
69 ms |
16336 KB |
Output is correct |
57 |
Correct |
64 ms |
16080 KB |
Output is correct |
58 |
Correct |
59 ms |
14672 KB |
Output is correct |
59 |
Correct |
64 ms |
15184 KB |
Output is correct |
60 |
Correct |
68 ms |
15956 KB |
Output is correct |
61 |
Correct |
61 ms |
14688 KB |
Output is correct |
62 |
Correct |
60 ms |
16332 KB |
Output is correct |
63 |
Correct |
65 ms |
15696 KB |
Output is correct |
64 |
Correct |
63 ms |
15784 KB |
Output is correct |
65 |
Correct |
75 ms |
15696 KB |
Output is correct |
66 |
Correct |
77 ms |
15952 KB |
Output is correct |
67 |
Correct |
75 ms |
16464 KB |
Output is correct |
68 |
Correct |
92 ms |
16468 KB |
Output is correct |
69 |
Correct |
83 ms |
16344 KB |
Output is correct |
70 |
Correct |
80 ms |
16464 KB |
Output is correct |
71 |
Correct |
84 ms |
16208 KB |
Output is correct |
72 |
Correct |
76 ms |
16452 KB |
Output is correct |
73 |
Correct |
97 ms |
16468 KB |
Output is correct |
74 |
Correct |
45 ms |
16212 KB |
Output is correct |
75 |
Correct |
46 ms |
16356 KB |
Output is correct |
76 |
Correct |
64 ms |
18504 KB |
Output is correct |
77 |
Correct |
66 ms |
18628 KB |
Output is correct |
78 |
Correct |
74 ms |
18124 KB |
Output is correct |
79 |
Correct |
87 ms |
16356 KB |
Output is correct |
80 |
Correct |
79 ms |
15972 KB |
Output is correct |
81 |
Correct |
48 ms |
16260 KB |
Output is correct |
82 |
Correct |
72 ms |
15460 KB |
Output is correct |
83 |
Correct |
78 ms |
15936 KB |
Output is correct |
84 |
Correct |
84 ms |
15528 KB |
Output is correct |
85 |
Correct |
72 ms |
16456 KB |
Output is correct |
86 |
Correct |
75 ms |
16344 KB |
Output is correct |
87 |
Correct |
72 ms |
16468 KB |
Output is correct |
88 |
Correct |
81 ms |
16468 KB |
Output is correct |
89 |
Correct |
68 ms |
16488 KB |
Output is correct |
90 |
Correct |
65 ms |
18888 KB |
Output is correct |
91 |
Correct |
76 ms |
17620 KB |
Output is correct |
92 |
Correct |
68 ms |
16464 KB |
Output is correct |
93 |
Correct |
90 ms |
16488 KB |
Output is correct |
94 |
Correct |
71 ms |
16464 KB |
Output is correct |
95 |
Correct |
85 ms |
16216 KB |
Output is correct |
96 |
Correct |
67 ms |
18628 KB |
Output is correct |
97 |
Correct |
61 ms |
18524 KB |
Output is correct |
98 |
Correct |
77 ms |
18692 KB |
Output is correct |
99 |
Correct |
64 ms |
18680 KB |
Output is correct |
100 |
Correct |
64 ms |
18636 KB |
Output is correct |
101 |
Correct |
67 ms |
18632 KB |
Output is correct |
102 |
Correct |
64 ms |
19000 KB |
Output is correct |
103 |
Correct |
71 ms |
16844 KB |
Output is correct |