ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#213116 | #584. t3 | fddwd | 20 | 11ms | 66928kb | C++11 | 4.2kb | 2024-11-09 20:21:28 | 2024-11-09 23:14:03 |
answer
#include<bits/stdc++.h>
using namespace std;
#define ll long long
#define pll pair<ll,ll>
#define fir first
#define sec second
#define MAXN 100010
const int mod=1e9+7;
int n,m;
ll a[MAXN],C[11][11];
struct nod{
int l,r;ll val[11],lazy=0;set<pll>lazy1;pll lazy2={0,0};
}tree[MAXN<<2];
inline ll power(ll a,ll b){
if(!a) return 0;
if(!b||a==1) return 1;
if(b&1) return power(a,b-1)*a%mod;
ll x=power(a,b>>1);return x*x%mod;
}inline void change(int id,ll delta){
ll val[11];memset(val,0,sizeof(val));
for(int i=0;i<=10;++i)for(int j=0;j<=i;++j)
(val[i]+=C[i][j]*power(delta,i-j)%mod*tree[id].val[j])%=mod;
for(int i=0;i<=10;++i) tree[id].val[i]=val[i];
}inline void pushdown(int id){
if(tree[id].l==tree[id].r){tree[id].lazy2={0,0};return;}
int v=id<<1;bool flag=false;
if(tree[id].lazy2>tree[v].lazy2) tree[v].lazy2=tree[id].lazy2,flag=true;
while(!tree[v].lazy1.empty()&&(*tree[v].lazy1.begin()).fir<tree[v].lazy2.sec)
change(v,mod-(*tree[v].lazy1.begin()).sec),
(tree[v].lazy+=mod-(*tree[v].lazy1.begin()).sec)%=mod,
tree[v].lazy1.erase(tree[v].lazy1.begin());
if(flag){
tree[v].val[0]=tree[v].r-tree[v].l+1;
for(int i=1;i<=10;++i)
tree[v].val[i]=(tree[v].val[i-1]*tree[v].lazy2.sec)%mod;
change(v,tree[v].lazy);
}for(auto it=tree[id].lazy1.begin();it!=tree[id].lazy1.end();++it)
if(!tree[v].lazy1.count(*it))
tree[v].lazy1.insert(*it),change(v,(*it).sec),
(tree[v].lazy+=(*it).sec)%=mod;
++v,flag=false;
if(tree[id].lazy2>tree[v].lazy2) tree[v].lazy2=tree[id].lazy2,flag=true;
while(!tree[v].lazy1.empty()&&(*tree[v].lazy1.begin()).fir<tree[v].lazy2.sec)
change(v,mod-(*tree[v].lazy1.begin()).sec),
(tree[v].lazy+=mod-(*tree[v].lazy1.begin()).sec)%=mod,
tree[v].lazy1.erase(tree[v].lazy1.begin());
if(flag){
tree[v].val[0]=tree[v].r-tree[v].l+1;
for(int i=1;i<=10;++i)
tree[v].val[i]=(tree[v].val[i-1]*tree[v].lazy2.sec)%mod;
change(v,tree[v].lazy);
}for(auto it=tree[id].lazy1.begin();it!=tree[id].lazy1.end();++it)
if(!tree[v].lazy1.count(*it))
tree[v].lazy1.insert(*it),change(v,(*it).sec),
(tree[v].lazy+=(*it).sec)%=mod;
}inline void pushup(int id){
if(tree[id].l==tree[id].r) return;
pushdown(id),pushdown(id<<1),pushdown(id<<1|1);
for(int i=0;i<=10;++i)
tree[id].val[i]=(tree[id<<1].val[i]+tree[id<<1|1].val[i])%mod;
}inline void st_build(int id,int l,int r){
tree[id].l=l,tree[id].r=r;
if(l==r){
tree[id].val[0]=1;
for(int i=1;i<=10;++i) tree[id].val[i]=tree[id].val[i]*a[i]%mod;
return;
}int mid=(l+r)>>1;
st_build(id<<1,l,mid),st_build(id<<1|1,mid+1,r),pushup(id);
}inline void st_modify1(int id,int l,int r,int s,ll delta){
if(l<=tree[id].l&&tree[id].r<=r){
tree[id].lazy1.insert({s,delta});
return;
}pushdown(id);
int mid=(tree[id].l+tree[id].r)>>1;
if(l<=mid) st_modify1(id<<1,l,r,s,delta);
if(mid<r) st_modify1(id<<1|1,l,r,s,delta);
pushup(id);
}inline void st_modify2(int id,int l,int r,int s,ll num){
if(l<=tree[id].l&&tree[id].r<=r){
tree[id].lazy2={s,num};
tree[id].val[0]=tree[id].r-tree[id].l+1;
for(int i=1;i<=10;++i) tree[id].val[i]=(tree[id].val[i-1]*num)%mod;
return;
}pushdown(id);
int mid=(tree[id].l+tree[id].r)>>1;
if(l<=mid) st_modify2(id<<1,l,r,s,num);
if(mid<r) st_modify2(id<<1|1,l,r,s,num);
pushup(id);
}inline ll st_query(int id,int l,int r,int p){
pushdown(id);
if(l<=tree[id].l&&tree[id].r<=r) return tree[id].val[p];
int mid=(tree[id].l+tree[id].r)>>1;
ll sum=0;
if(l<=mid) sum+=st_query(id<<1,l,r,p);
if(mid<r) sum+=st_query(id<<1|1,l,r,p);
return sum;
}
int main(){
ios::sync_with_stdio(false);
cin.tie(0),cout.tie(0);
cin>>n>>m;
for(int i=1;i<=n;++i) cin>>a[i];
for(int i=0;i<=10;++i) C[i][0]=1;
for(int i=1;i<=10;++i)for(int j=1;j<=i;++j)
C[i][j]=C[i-1][j]+C[i-1][j-1];
st_build(1,1,n);
short type;int l,r,x;
for(int s=1;s<=m;++s){
cin>>type>>l>>r>>x;
if(n<=1000){
if(type==1) for(int i=l;i<=r;++i) (a[i]+=x)%=mod;
if(type==2) for(int i=l;i<=r;++i) a[i]=x;
if(type==3){
ll ans=0;
for(int i=l;i<=r;++i) (ans+=power(a[i],x))%=mod;
cout<<ans<<endl;
}continue;
}
if(type==1) st_modify1(1,l,r,s,x);
if(type==2) st_modify2(1,l,r,s,x);
if(type==3) cout<<st_query(1,l,r,x)<<endl;
}
return 0;
}
详细
小提示:点击横条可展开更详细的信息
Test #1:
score: 10
Accepted
time: 4ms
memory: 66928kb
input:
458 823 14431 9895 11970 15308 2575 20181 709 27999 12992 18884 11061 16281 5044 28990 25092 28337 3...
output:
806084096 117884357 581509507 903754571 381316325 789203673 312340523 659242359 741787988 89040104 4...
result:
ok 261 lines
Test #2:
score: 10
Accepted
time: 7ms
memory: 66924kb
input:
481 526 8409 14498 18636 10027 24362 32458 17986 17730 11956 19192 2193 1034 29317 19284 16210 26242...
output:
867105097 717265913 288311190 320452351 133 498037408 473281413 216488030 182572597 611630662 471106...
result:
ok 179 lines
Test #3:
score: 0
Time Limit Exceeded
input:
100000 100000 15247 4194 9619 4532 22058 2667 21549 16652 25327 12018 13395 11426 7243 11714 22904 2...
output:
54433 134340600 29055060 0 500067609 1043385546 19585 0 0 67567566 21731 706331175 10157 937387507 1...
result:
Test #4:
score: 0
Time Limit Exceeded
input:
100000 100000 6264 26207 28424 24165 4852 20798 5803 18679 24588 12238 25786 28622 19900 101 25922 2...
output:
18923 0 26311 13811 6250 27742 2136802716 0 1005681257 2919 1674199938 2120540 0 353819535 108472896...
result:
Test #5:
score: 0
Time Limit Exceeded
input:
100000 100000 15043 9299 7163 25384 24996 3803 24356 12466 22073 12987 8931 14997 3951 32704 23076 8...
output:
664534548 0 244473380 1851287434 18213641 0 1981012094 13655 5518 1445 624252985 4141 49668 13742070...
result:
Test #6:
score: 0
Time Limit Exceeded
input:
100000 100000 14736 16956 19864 23894 29403 5507 12182 6188 17192 14440 18618 3970 15396 15037 23334...
output:
17008 73008 274917396 1862569739 10937 6250 5438554371 60571 24206 39598 6729466 3195477094 0 108296...
result:
Test #7:
score: 0
Time Limit Exceeded
input:
50000 50000 17799 29763 25337 21321 1391 31852 27418 28753 18524 14044 15976 18893 12274 22834 11348...
output:
19498 0 80699883 764947686 494173666 2470817561 900820643 814778465 1358397319 906225352 3356992156 ...
result:
Test #8:
score: 0
Time Limit Exceeded
input:
50000 50000 10654 14956 14287 25326 8102 30579 11682 23553 272 22672 14460 30241 13026 12738 4912 72...
output:
0 56736135 987661662 925008134 0 1103859077 13 2465 1758278132 851758027 2685269967 1199308965 14055...
result:
Test #9:
score: 0
Time Limit Exceeded
input:
90000 90000 29538 28214 24706 30393 27759 9002 13458 10243 15713 14881 10630 5593 7942 24578 29370 1...
output:
0 0 0 1852898168 10140 1293459689 30138482 1084782807 1192535518 2478953178 11572786 1071805147 1964...
result:
Test #10:
score: 0
Time Limit Exceeded
input:
100000 100000 23515 49 31372 25112 16779 21279 30735 32743 14678 15189 1763 23114 32215 14873 20487 ...
output:
0 0 0 0 27301151 927251943 0 952563498 1647554126 0 6984 888895806 830089903 0 1817560450 7031 11958...