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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#694347 | #6435. Paimon Segment Tree | zth# | WA | 123ms | 181172kb | C++23 | 3.8kb | 2024-10-31 17:45:27 | 2024-10-31 17:45:28 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define int long long
typedef long long ll;
const ll mod=1e9+7;
const int MX=50000;
struct mat {
vector<vector<ll>> a;
mat(){}
mat(ll w) {
if (w!=-1) a={{1,1,2*w%mod,w*w%mod}, {0,1,2*w%mod,w*w%mod}, {0,0,1,w}, {0,0,0,1}};
else a={{-1,-1,-1,-1}, {-1,-1,-1,-1}, {-1,-1,-1,-1}, {-1,-1,-1,-1}};
}
} lz[10*MX+20];
mat mul_mat(mat &A, mat &B) {
if (A.a[0][0]==-1) return B;
if (B.a[0][0]==-1) return A;
mat res=mat(0);
for (int i=0; i<4; ++i) {
for (int j=0; j<4; ++j) {
res.a[i][j]=0;
for (int k=0; k<4; ++k) res.a[i][j]=(res.a[i][j]+A.a[i][k]*B.a[k][j])%mod;
}
}
return res;
}
struct vec {
ll sum_sq,sq,sum,cnt;
vec() : sum_sq(0), sq(0), sum(0), cnt(0) {}
vec(ll val) : sum_sq(val*val%mod), sq(val*val%mod), sum(val), cnt(1) {}
vec(vec A, vec B) {
sum_sq=(A.sum_sq+B.sum_sq)%mod;
sq=(A.sq+B.sq)%mod;
sum=(A.sum+B.sum)%mod;
cnt=A.cnt+B.cnt;
}
} s[10*MX+20];
vec mul_vec(vec &A, mat &B) {
if (B.a[0][0]==-1) return A;
vec res=vec(0);
res.sum_sq = (B.a[0][0]*A.sum_sq%mod + B.a[0][1]*A.sq%mod + B.a[0][2]*A.sum%mod + B.a[0][3]*A.cnt%mod)%mod;
res.sq = (B.a[1][0]*A.sum_sq%mod + B.a[1][1]*A.sq%mod + B.a[1][2]*A.sum%mod + B.a[1][3]*A.cnt%mod)%mod;
res.sum = (B.a[2][0]*A.sum_sq%mod + B.a[2][1]*A.sq%mod + B.a[2][2]*A.sum%mod + B.a[2][3]*A.cnt%mod)%mod;
res.cnt = (B.a[3][0]*A.sum_sq%mod + B.a[3][1]*A.sq%mod + B.a[3][2]*A.sum%mod + B.a[3][3]*A.cnt%mod)%mod;
return res;
}
void pushlz(int l, int r, int idx) {
s[idx]=mul_vec(s[idx],lz[idx]);
if (l!=r) {
lz[2*idx]=mul_mat(lz[idx],lz[2*idx]);
lz[2*idx+1]=mul_mat(lz[idx],lz[2*idx+1]);
}
lz[idx]=mat(-1);
}
void update(int l, int r, int idx, int x, int y, ll val) {
pushlz(l,r,idx);
if (x>r || y<l) return;
if (x<=l && r<=y) {
lz[idx]=mat(val);
pushlz(l,r,idx);
} else {
int mid=(l+r)/2;
update(l,mid,2*idx,x,y,val);
update(mid+1,r,2*idx+1,x,y,val);
s[idx]=vec(s[2*idx],s[2*idx+1]);
}
}
vec query(int l, int r, int idx, int x, int y) {
pushlz(l,r,idx);
if (x>r || y<l) return vec();
if (x<=l && r<=y) return s[idx];
int mid=(l+r)/2;
return vec(query(l,mid,2*idx,x,y),query(mid+1,r,2*idx+1,x,y));
}
int n,m,q;
ll c[MX+5],ans[MX+5];
void build(int l, int r, int idx) {
if (l==r) s[idx]=vec(c[l]);
else {
int mid=(l+r)/2;
build(l,mid,2*idx);
build(mid+1,r,2*idx+1);
s[idx]=vec(s[2*idx],s[2*idx+1]);
}
}
struct tup {
ll a,b,c; //idx of ans, l, r
};
vector<tup> op,del[MX+5],add[MX+5];
signed main() {
ios_base::sync_with_stdio(0); cin.tie(0);
for (int i=0; i<=10*MX+3; ++i) lz[i]=mat(-1);
cin>>n>>m>>q;
for (int i=1; i<=n; ++i) cin>>c[i];
build(1,n,1);
op.push_back({0,0,0});
for (int i=1; i<=m; ++i) {
int l,r,x; cin>>l>>r>>x;
op.push_back({l,r,x});
}
for (int i=1; i<=q; ++i) {
int l,r,x,y; cin>>l>>r>>x>>y;
add[y].push_back({i,l,r});
if (x) del[x-1].push_back({i,l,r});
}
for (int i=0; i<=m; ++i) {
ll l=op[i].a, r=op[i].b, w=op[i].c;
if (i) {
update(1,n,1,l,r,w);
if (l!=1) update(1,n,1,1,l-1,0);
if (r!=n) update(1,n,1,r+1,n,0);
}
for (auto s : add[i]) ans[s.a]=(ans[s.a]+query(1,n,1,s.b,s.c).sum_sq)%mod;
for (auto s : del[i]) ans[s.a]=((ans[s.a]-query(1,n,1,s.b,s.c).sum_sq)%mod+mod)%mod;
}
for (int i=1; i<=q; ++i) cout<<ans[i]<<"\n";
}
/*
3 1 1
8 1 6
2 3 2
2 2 0 0
*/
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 90ms
memory: 181172kb
input:
3 1 1 8 1 6 2 3 2 2 2 0 0
output:
1
result:
ok 1 number(s): "1"
Test #2:
score: 0
Accepted
time: 123ms
memory: 180500kb
input:
4 3 3 2 3 2 2 1 1 6 1 3 3 1 3 6 2 2 2 3 1 4 1 3 4 4 2 3
output:
180 825 8
result:
ok 3 number(s): "180 825 8"
Test #3:
score: -100
Wrong Answer
time: 102ms
memory: 180272kb
input:
100 107 180 -280960553 266308104 -997644864 856103777 592874377 674379235 -946339772 641750362 642418716 -360811715 -555543246 206614021 358239245 349842656 983198973 807518446 -66612455 -980932737 109826132 -109676067 51226145 452115561 -42729559 -950621304 -87009773 714026474 375317493 693260053 -...
output:
400489222 480617351 531108525 254983761 446689548 764223236 142229431 307405789 39817281 66225912 247029353 46506707 529135498 578008236 201809860 674078444 746060191 171471121 722471473 657196163 861551838 606551808 360903956 401221326 767571915 669762004 163759234 141144218 579174939 276557168 518...
result:
wrong answer 42nd numbers differ - expected: '897565782', found: '-102434225'