#include<bits/stdc++.h>
using namespace std;
#define all(fl) fl.begin(),fl.end()
#define pb push_back
#define fi first
#define se second
#define for1(i,j,k) for(int i=j;i<=k;i++)
#define for2(i,j,k) for(int i=j;i>=k;i--)
#define for3(i,j,k,l) for(int i=j;i<=k;i+=l)
#define lb lower_bound
#define ub upper_bound
#define sz(a) (int)a.size()
#define pii pair<int,int>
#define pli pair<long long,int>
#define gcd __gcd
#define lcm(x,y) x*y/__gcd(x,y)
#define lastbit(i) __builtin_ctz(i)
/*
dung duoc cay voi i->l[i] la so gan i nhat > i
tu do ta luu canh voi chi so i-l[i] a[l[i]]-a[i]
voi 1 dinh neu con du thoi gian di qua canh thi thoi gian se - (i-l[i]) va value duoc them bang a[l[i]]-a[i]
nhan xet euler tour thi in[i]=i
1 truy van l r ta co the tach rieng thanh 1 r va 1 l
vua dfs vua giai cac truy van bang bit
*/
const int maxn=2e5+9;
int a[maxn];
vector<pii>b[maxn];
struct BIT{
vector<long long>bit;
int n;
void resz(int _n){
n=_n;
bit.resize(n+1);
}
void add(int pos,long long val){
for(;pos<=n;pos+=(pos-(pos&(pos-1))))bit[pos]+=val;
}
long long get(int pos){
long long ans=0;
for(;pos>=1;pos-=(pos-(pos&(pos-1))))ans+=bit[pos];
return ans;
}
long long get(int l,int r){
if (l>r)return 0;
return get(r)-get(l-1);
}
};
int in[maxn],out[maxn],tme=0,st[maxn][19];
vector<pii>add[maxn],del[maxn],add2[maxn],del2[maxn];
long long ans[maxn];
BIT cnt,bit;
BIT t1,t2,t3,t4;
int n,q;
int par[maxn];
void predfs(int u){
in[u]=++tme;
for (auto v:add[u]){
int tmp=u;
for2(j,18,0){
if (!st[tmp][j]||!par[st[tmp][j]])continue;
int pr=par[st[tmp][j]];
if (v.fi+pr>=u){
tmp=st[tmp][j];
}
}
if (st[tmp][0]&&par[st[tmp][0]]&&v.fi+par[st[tmp][0]]<u){
tmp=st[tmp][0];
add2[tmp].pb(v);
//cout<<tmp<<'\n';
}
}
for (auto v:del[u]){
int tmp=u;
for2(j,18,0){
if (!st[tmp][j]||!par[st[tmp][j]])continue;
int pr=par[st[tmp][j]];
if (v.fi+pr>=u){
tmp=st[tmp][j];
}
}
if (st[tmp][0]&&par[st[tmp][0]]&&v.fi+par[st[tmp][0]]<u){
tmp=st[tmp][0];
del2[tmp].pb(v);
}
}
for (auto v:b[u]){
st[v.fi][0]=u;
for1(i,1,18)st[v.fi][i]=st[st[v.fi][i-1]][i-1];
predfs(v.fi);
}
out[u]=tme;
}
void solve(int u){
if (par[u]){
int diff=par[u];
long long w=a[par[u]]-a[u];
t1.add(diff,-w*(u-1));
t2.add(diff,w);
diff=u-par[u];
t3.add(diff,-1ll*w*(diff-1));
t4.add(diff,w);
}
for (auto v:add2[u]){
ans[v.se]+=1ll*v.fi*t4.get(v.fi)+t3.get(v.fi);
}
for (auto v:del2[u]){
ans[v.se]-=1ll*v.fi*t4.get(v.fi)+t3.get(v.fi);
}
for (auto v:add[u]){
ans[v.se]+=1ll*v.fi*cnt.get(v.fi)+bit.get(v.fi);
ans[v.se]+=1ll*u*t2.get(max(u-v.fi,1),n)+t1.get(max(u-v.fi,1),n);
}
for (auto v:del[u]){
ans[v.se]-=1ll*v.fi*cnt.get(v.fi)+bit.get(v.fi);
ans[v.se]-=1ll*u*t2.get(max(u-v.fi,1),n)+t1.get(max(u-v.fi,1),n);
}
for (auto v:b[u]){
solve(v.fi);
}
if (par[u]){
int diff=par[u];
long long w=a[par[u]]-a[u];
t1.add(diff,w*(u-1));
t2.add(diff,-w);
diff=u-par[u];
t3.add(diff,1ll*w*(diff-1));
t4.add(diff,-w);
}
if (par[u]){
int sz=out[u]-in[u]+1;
int time=u-par[u];
bit.add(time+sz,1ll*(a[par[u]]-a[u])*sz);
long long value=(a[par[u]]-a[u]);
value*=(time-1);
bit.add(time,-value);
bit.add(time+sz,value);
cnt.add(time,(a[par[u]]-a[u]));
cnt.add(time+sz,-(a[par[u]]-a[u]));
}
}
long long pf[maxn];
signed main(){
ios_base::sync_with_stdio(0);
cin.tie(0);
//freopen("temp.INP","r",stdin);
//freopen("temp.OUT","w",stdout);
cin>>n>>q;
cnt.resz(n);
t3.resz(n);
t4.resz(n);
bit.resz(n);
t1.resz(n);
t2.resz(n);
for1(i,1,n)cin>>a[i];
for1(i,1,n)pf[i]=pf[i-1]+a[i];
a[0]=1e9+7;
stack<int>t;
t.push(0);
vector<int>root;
for1(i,1,n){
while (!t.empty()&&a[t.top()]<=a[i])t.pop();
int p=t.top();
if (p)b[p].pb({i,i-p});
else root.pb(i);
par[i]=t.top();
t.push(i);
}
for1(i,1,q){
int t,l,r;
cin>>t>>l>>r;
add[r].pb({t,i});
del[l-1].pb({t,i});
ans[i]+=pf[r]-pf[l-1];
}
for (auto v:root)predfs(v);
for (auto v:root)solve(v);
for1(i,1,q)cout<<ans[i]<<'\n';
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
11 ms |
29528 KB |
Output is correct |
2 |
Correct |
8 ms |
29736 KB |
Output is correct |
3 |
Correct |
6 ms |
29788 KB |
Output is correct |
4 |
Correct |
6 ms |
29768 KB |
Output is correct |
5 |
Correct |
8 ms |
29788 KB |
Output is correct |
6 |
Correct |
6 ms |
29788 KB |
Output is correct |
7 |
Correct |
8 ms |
29784 KB |
Output is correct |
8 |
Correct |
6 ms |
29784 KB |
Output is correct |
9 |
Correct |
7 ms |
29788 KB |
Output is correct |
10 |
Correct |
7 ms |
29788 KB |
Output is correct |
11 |
Correct |
6 ms |
29720 KB |
Output is correct |
12 |
Correct |
6 ms |
29788 KB |
Output is correct |
13 |
Correct |
7 ms |
29736 KB |
Output is correct |
14 |
Correct |
7 ms |
29788 KB |
Output is correct |
15 |
Correct |
6 ms |
29788 KB |
Output is correct |
16 |
Correct |
6 ms |
29788 KB |
Output is correct |
17 |
Correct |
6 ms |
29788 KB |
Output is correct |
18 |
Correct |
7 ms |
29764 KB |
Output is correct |
19 |
Correct |
6 ms |
29788 KB |
Output is correct |
20 |
Correct |
6 ms |
29788 KB |
Output is correct |
21 |
Correct |
8 ms |
29788 KB |
Output is correct |
22 |
Correct |
6 ms |
29788 KB |
Output is correct |
23 |
Correct |
6 ms |
29784 KB |
Output is correct |
24 |
Correct |
7 ms |
29788 KB |
Output is correct |
25 |
Correct |
7 ms |
29788 KB |
Output is correct |
26 |
Correct |
6 ms |
29788 KB |
Output is correct |
27 |
Correct |
7 ms |
29788 KB |
Output is correct |
28 |
Correct |
7 ms |
29740 KB |
Output is correct |
29 |
Correct |
6 ms |
29788 KB |
Output is correct |
30 |
Correct |
7 ms |
29724 KB |
Output is correct |
31 |
Correct |
6 ms |
29788 KB |
Output is correct |
32 |
Correct |
6 ms |
29704 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
11 ms |
29528 KB |
Output is correct |
2 |
Correct |
330 ms |
74136 KB |
Output is correct |
3 |
Correct |
339 ms |
74024 KB |
Output is correct |
4 |
Correct |
362 ms |
75168 KB |
Output is correct |
5 |
Correct |
351 ms |
75432 KB |
Output is correct |
6 |
Correct |
365 ms |
76484 KB |
Output is correct |
7 |
Correct |
344 ms |
74512 KB |
Output is correct |
8 |
Correct |
336 ms |
75932 KB |
Output is correct |
9 |
Correct |
392 ms |
75512 KB |
Output is correct |
10 |
Correct |
340 ms |
74064 KB |
Output is correct |
11 |
Correct |
320 ms |
74580 KB |
Output is correct |
12 |
Correct |
336 ms |
73764 KB |
Output is correct |
13 |
Correct |
316 ms |
76268 KB |
Output is correct |
14 |
Correct |
319 ms |
75104 KB |
Output is correct |
15 |
Correct |
318 ms |
76412 KB |
Output is correct |
16 |
Correct |
332 ms |
77104 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
11 ms |
29528 KB |
Output is correct |
2 |
Correct |
376 ms |
75072 KB |
Output is correct |
3 |
Correct |
357 ms |
74548 KB |
Output is correct |
4 |
Correct |
360 ms |
75716 KB |
Output is correct |
5 |
Correct |
370 ms |
74032 KB |
Output is correct |
6 |
Correct |
353 ms |
74400 KB |
Output is correct |
7 |
Correct |
346 ms |
74412 KB |
Output is correct |
8 |
Correct |
355 ms |
74972 KB |
Output is correct |
9 |
Correct |
337 ms |
73940 KB |
Output is correct |
10 |
Correct |
366 ms |
73952 KB |
Output is correct |
11 |
Correct |
349 ms |
75212 KB |
Output is correct |
12 |
Correct |
322 ms |
74800 KB |
Output is correct |
13 |
Correct |
384 ms |
75144 KB |
Output is correct |
14 |
Correct |
351 ms |
73812 KB |
Output is correct |
15 |
Correct |
350 ms |
74700 KB |
Output is correct |
16 |
Correct |
353 ms |
74620 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
288 ms |
68964 KB |
Output is correct |
2 |
Correct |
259 ms |
69192 KB |
Output is correct |
3 |
Correct |
358 ms |
69724 KB |
Output is correct |
4 |
Correct |
278 ms |
69012 KB |
Output is correct |
5 |
Correct |
303 ms |
69132 KB |
Output is correct |
6 |
Correct |
274 ms |
69316 KB |
Output is correct |
7 |
Correct |
265 ms |
69580 KB |
Output is correct |
8 |
Correct |
293 ms |
69580 KB |
Output is correct |
9 |
Correct |
274 ms |
69244 KB |
Output is correct |
10 |
Correct |
343 ms |
69340 KB |
Output is correct |
11 |
Correct |
267 ms |
69580 KB |
Output is correct |
12 |
Correct |
268 ms |
69632 KB |
Output is correct |
13 |
Correct |
260 ms |
69288 KB |
Output is correct |
14 |
Correct |
298 ms |
69640 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
11 ms |
29528 KB |
Output is correct |
2 |
Correct |
8 ms |
29736 KB |
Output is correct |
3 |
Correct |
6 ms |
29788 KB |
Output is correct |
4 |
Correct |
6 ms |
29768 KB |
Output is correct |
5 |
Correct |
8 ms |
29788 KB |
Output is correct |
6 |
Correct |
6 ms |
29788 KB |
Output is correct |
7 |
Correct |
8 ms |
29784 KB |
Output is correct |
8 |
Correct |
6 ms |
29784 KB |
Output is correct |
9 |
Correct |
7 ms |
29788 KB |
Output is correct |
10 |
Correct |
7 ms |
29788 KB |
Output is correct |
11 |
Correct |
6 ms |
29720 KB |
Output is correct |
12 |
Correct |
6 ms |
29788 KB |
Output is correct |
13 |
Correct |
7 ms |
29736 KB |
Output is correct |
14 |
Correct |
7 ms |
29788 KB |
Output is correct |
15 |
Correct |
6 ms |
29788 KB |
Output is correct |
16 |
Correct |
6 ms |
29788 KB |
Output is correct |
17 |
Correct |
6 ms |
29788 KB |
Output is correct |
18 |
Correct |
7 ms |
29764 KB |
Output is correct |
19 |
Correct |
6 ms |
29788 KB |
Output is correct |
20 |
Correct |
6 ms |
29788 KB |
Output is correct |
21 |
Correct |
8 ms |
29788 KB |
Output is correct |
22 |
Correct |
6 ms |
29788 KB |
Output is correct |
23 |
Correct |
6 ms |
29784 KB |
Output is correct |
24 |
Correct |
7 ms |
29788 KB |
Output is correct |
25 |
Correct |
7 ms |
29788 KB |
Output is correct |
26 |
Correct |
6 ms |
29788 KB |
Output is correct |
27 |
Correct |
7 ms |
29788 KB |
Output is correct |
28 |
Correct |
7 ms |
29740 KB |
Output is correct |
29 |
Correct |
6 ms |
29788 KB |
Output is correct |
30 |
Correct |
7 ms |
29724 KB |
Output is correct |
31 |
Correct |
6 ms |
29788 KB |
Output is correct |
32 |
Correct |
6 ms |
29704 KB |
Output is correct |
33 |
Correct |
330 ms |
74136 KB |
Output is correct |
34 |
Correct |
339 ms |
74024 KB |
Output is correct |
35 |
Correct |
362 ms |
75168 KB |
Output is correct |
36 |
Correct |
351 ms |
75432 KB |
Output is correct |
37 |
Correct |
365 ms |
76484 KB |
Output is correct |
38 |
Correct |
344 ms |
74512 KB |
Output is correct |
39 |
Correct |
336 ms |
75932 KB |
Output is correct |
40 |
Correct |
392 ms |
75512 KB |
Output is correct |
41 |
Correct |
340 ms |
74064 KB |
Output is correct |
42 |
Correct |
320 ms |
74580 KB |
Output is correct |
43 |
Correct |
336 ms |
73764 KB |
Output is correct |
44 |
Correct |
316 ms |
76268 KB |
Output is correct |
45 |
Correct |
319 ms |
75104 KB |
Output is correct |
46 |
Correct |
318 ms |
76412 KB |
Output is correct |
47 |
Correct |
332 ms |
77104 KB |
Output is correct |
48 |
Correct |
376 ms |
75072 KB |
Output is correct |
49 |
Correct |
357 ms |
74548 KB |
Output is correct |
50 |
Correct |
360 ms |
75716 KB |
Output is correct |
51 |
Correct |
370 ms |
74032 KB |
Output is correct |
52 |
Correct |
353 ms |
74400 KB |
Output is correct |
53 |
Correct |
346 ms |
74412 KB |
Output is correct |
54 |
Correct |
355 ms |
74972 KB |
Output is correct |
55 |
Correct |
337 ms |
73940 KB |
Output is correct |
56 |
Correct |
366 ms |
73952 KB |
Output is correct |
57 |
Correct |
349 ms |
75212 KB |
Output is correct |
58 |
Correct |
322 ms |
74800 KB |
Output is correct |
59 |
Correct |
384 ms |
75144 KB |
Output is correct |
60 |
Correct |
351 ms |
73812 KB |
Output is correct |
61 |
Correct |
350 ms |
74700 KB |
Output is correct |
62 |
Correct |
353 ms |
74620 KB |
Output is correct |
63 |
Correct |
288 ms |
68964 KB |
Output is correct |
64 |
Correct |
259 ms |
69192 KB |
Output is correct |
65 |
Correct |
358 ms |
69724 KB |
Output is correct |
66 |
Correct |
278 ms |
69012 KB |
Output is correct |
67 |
Correct |
303 ms |
69132 KB |
Output is correct |
68 |
Correct |
274 ms |
69316 KB |
Output is correct |
69 |
Correct |
265 ms |
69580 KB |
Output is correct |
70 |
Correct |
293 ms |
69580 KB |
Output is correct |
71 |
Correct |
274 ms |
69244 KB |
Output is correct |
72 |
Correct |
343 ms |
69340 KB |
Output is correct |
73 |
Correct |
267 ms |
69580 KB |
Output is correct |
74 |
Correct |
268 ms |
69632 KB |
Output is correct |
75 |
Correct |
260 ms |
69288 KB |
Output is correct |
76 |
Correct |
298 ms |
69640 KB |
Output is correct |
77 |
Correct |
347 ms |
74924 KB |
Output is correct |
78 |
Correct |
398 ms |
75652 KB |
Output is correct |
79 |
Correct |
339 ms |
75320 KB |
Output is correct |
80 |
Correct |
387 ms |
74724 KB |
Output is correct |
81 |
Correct |
381 ms |
75236 KB |
Output is correct |
82 |
Correct |
369 ms |
75760 KB |
Output is correct |
83 |
Correct |
401 ms |
75440 KB |
Output is correct |
84 |
Correct |
356 ms |
74528 KB |
Output is correct |
85 |
Correct |
397 ms |
75316 KB |
Output is correct |
86 |
Correct |
381 ms |
75672 KB |
Output is correct |
87 |
Correct |
323 ms |
74524 KB |
Output is correct |
88 |
Correct |
368 ms |
74584 KB |
Output is correct |
89 |
Correct |
311 ms |
73808 KB |
Output is correct |
90 |
Correct |
334 ms |
74340 KB |
Output is correct |
91 |
Correct |
327 ms |
73852 KB |
Output is correct |
92 |
Correct |
365 ms |
73492 KB |
Output is correct |
93 |
Correct |
348 ms |
74068 KB |
Output is correct |
94 |
Correct |
325 ms |
74576 KB |
Output is correct |
95 |
Correct |
381 ms |
74620 KB |
Output is correct |
96 |
Correct |
328 ms |
74068 KB |
Output is correct |
97 |
Correct |
331 ms |
74320 KB |
Output is correct |
98 |
Correct |
339 ms |
76500 KB |
Output is correct |
99 |
Correct |
356 ms |
77476 KB |
Output is correct |
100 |
Correct |
397 ms |
77484 KB |
Output is correct |
101 |
Correct |
349 ms |
76752 KB |
Output is correct |
102 |
Correct |
356 ms |
77588 KB |
Output is correct |