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  • 单点更新

    敌兵布阵 http://acm.hdu.edu.cn/showproblem.php?pid=1166

     1 #include<cstdio>
     2 #define lrrt int L,int R,int rt
     3 #define iall 1,n,1
     4 #define imid int mid=(L+R)>>1
     5 #define lson L,mid,rt<<1
     6 #define rson mid+1,R,rt<<1|1
     7 const int M=50010;
     8 int tree[M<<2];
     9 int a[M];
    10 void pushup(int rt){
    11     tree[rt]=tree[rt<<1]+tree[rt<<1|1];
    12 }
    13 void build(lrrt){
    14     if(L==R){
    15         tree[rt]=a[L];
    16         return ;
    17     }
    18     imid;
    19     build(lson);
    20     build(rson);
    21     pushup(rt);
    22 }
    23 void update(int x,int y,lrrt){
    24     if(L==R){
    25         tree[rt]+=y;
    26         return ;
    27     }
    28     imid;
    29     if(mid>=x) update(x,y,lson);
    30     else       update(x,y,rson);
    31     pushup(rt);
    32 }
    33 int query(int x,int y,lrrt){
    34     if(x<=L&&R<=y) return tree[rt];
    35     imid;
    36     int ans=0;
    37     if(mid>=x) ans+=query(x,y,lson);
    38     if(mid<y)  ans+=query(x,y,rson);
    39     return ans;
    40 }
    41 int main(){
    42     int t,n;
    43     while(~scanf("%d",&t)){
    44         int cas=1;
    45         while(t--){
    46             printf("Case %d:
    ",cas++);
    47             scanf("%d",&n);
    48             for(int i=1;i<=n;i++){
    49                 scanf("%d",&a[i]);
    50             }
    51             build(iall);
    52             char op[8];
    53             while(~scanf("%s",op)){
    54                 if(op[0]=='E') break;
    55                 int x,y;
    56                 scanf("%d%d",&x,&y);
    57                 if(op[0]=='A'){
    58                     update(x,y,iall);
    59                 }
    60                 else if(op[0]=='S'){
    61                     update(x,-y,iall);
    62                 }
    63                 else{
    64                     printf("%d
    ",query(x,y,iall));
    65                 }
    66             }
    67         }
    68     }
    69     return 0;
    70 }
    View Code

    I Hate It http://acm.hdu.edu.cn/showproblem.php?pid=1754

     1 #include<cstdio>
     2 #include<algorithm>
     3 #define lrrt int L,int R,int rt
     4 #define iall 1,n,1
     5 #define imid int mid=(L+R)>>1
     6 #define lson L,mid,rt<<1
     7 #define rson mid+1,R,rt<<1|1
     8 using namespace std;
     9 const int M=200010;
    10 int a[M];
    11 int tree[M<<2];
    12 void pushup(int rt){
    13     tree[rt]=max(tree[rt<<1],tree[rt<<1|1]);
    14 }
    15 void build(lrrt){
    16     if(L==R){
    17         tree[rt]=a[L];
    18         return ;
    19     }
    20     imid;
    21     build(lson);
    22     build(rson);
    23     pushup(rt);
    24 }
    25 void update(int x,int y,lrrt){
    26     if(L==R){
    27         tree[rt]=y;
    28         return ;
    29     }
    30     imid;
    31     if(mid>=x) update(x,y,lson);
    32     else       update(x,y,rson);
    33     pushup(rt);
    34 }
    35 int query(int x,int y,lrrt){
    36     if(x<=L&&R<=y) return tree[rt];
    37     imid;
    38     int ans=0;
    39     if(mid>=x) ans=max(ans,query(x,y,lson));
    40     if(mid<y)  ans=max(ans,query(x,y,rson));
    41     return ans;
    42 }
    43 int main(){
    44     int n,m;
    45     while(~scanf("%d%d",&n,&m)){
    46         for(int i=1;i<=n;i++){
    47             scanf("%d",&a[i]);
    48         }
    49         build(iall);
    50         while(m--){
    51             int x,y;
    52             char op[4];
    53             scanf("%s%d%d",op,&x,&y);
    54             if(op[0]=='U'){
    55                 update(x,y,iall);
    56             }
    57             else{
    58                 printf("%d
    ",query(x,y,iall));
    59             }
    60         }
    61     }
    62     return 0;
    63 }
    View Code

    Multiply game http://acm.hdu.edu.cn/showproblem.php?pid=3074

     1 #include<cstdio>
     2 #define lrrt int L,int R,int rt
     3 #define iall 1,n,1
     4 #define imid int mid=(L+R)>>1
     5 #define lson L,mid,rt<<1
     6 #define rson mid+1,R,rt<<1|1
     7 typedef __int64 LL;
     8 const int mod=1000000007;
     9 const int M=50010;
    10 int a[M];
    11 LL tree[M<<2];
    12 void pushup(int rt){
    13     tree[rt]=(tree[rt<<1]*tree[rt<<1|1])%mod;
    14 }
    15 void build(lrrt){
    16     if(L==R){
    17         tree[rt]=a[L];
    18         return ;
    19     }
    20     imid;
    21     build(lson);
    22     build(rson);
    23     pushup(rt);
    24 }
    25 void update(int x,int y,lrrt){
    26     if(L==R){
    27         tree[rt]=y;
    28         return ;
    29     }
    30     imid;
    31     if(mid>=x) update(x,y,lson);
    32     else       update(x,y,rson);
    33     pushup(rt);
    34 }
    35 LL query(int x,int y,lrrt){
    36     if(x<=L&&R<=y) return tree[rt];
    37     LL ans=1;
    38     imid;
    39     if(mid>=x) ans=(ans*query(x,y,lson))%mod;
    40     if(mid<y)  ans=(ans*query(x,y,rson))%mod;
    41     return ans;
    42 }
    43 int main(){
    44     int t,n,m;
    45     while(~scanf("%d",&t)){
    46         while(t--){
    47             scanf("%d",&n);
    48             for(int i=1;i<=n;i++){
    49                 scanf("%d",&a[i]);
    50             }
    51             build(iall);
    52             scanf("%d",&m);
    53             while(m--){
    54                 int op,x,y;
    55                 scanf("%d%d%d",&op,&x,&y);
    56                 if(op){
    57                     update(x,y,iall);
    58                 }
    59                 else{
    60                     printf("%I64d
    ",query(x,y,iall));
    61                 }
    62             }
    63         }
    64     }
    65     return 0;
    66 }
    View Code

     Balanced Lineup http://poj.org/problem?id=3264

     1 #include<cstdio>
     2 #include<algorithm>
     3 #define lrrt int L,int R,int rt
     4 #define iall 1,n,1
     5 #define imid int mid=(L+R)>>1
     6 #define lson L,mid,rt<<1
     7 #define rson mid+1,R,rt<<1|1
     8 using namespace std;
     9 const int M=50010;
    10 int a[M];
    11 struct T{
    12     int big,sma;
    13 }tree[M<<2];
    14 void pushup(int rt){
    15     tree[rt].big=max(tree[rt<<1].big,tree[rt<<1|1].big);
    16     tree[rt].sma=min(tree[rt<<1].sma,tree[rt<<1|1].sma);
    17 }
    18 void build(lrrt){
    19     if(L==R){
    20         tree[rt].big=tree[rt].sma=a[L];
    21         return ;
    22     }
    23     imid;
    24     build(lson);
    25     build(rson);
    26     pushup(rt);
    27 }
    28 int querybig(int x,int y,lrrt){
    29     if(x<=L&&R<=y) return tree[rt].big;
    30     imid;
    31     int ans=0;
    32     if(mid>=x) ans=max(ans,querybig(x,y,lson));
    33     if(mid<y)  ans=max(ans,querybig(x,y,rson));
    34     return ans;
    35 }
    36 int querysma(int x,int y,lrrt){
    37     if(x<=L&&R<=y) return tree[rt].sma;
    38     imid;
    39     int ans=1000010;
    40     if(mid>=x) ans=min(ans,querysma(x,y,lson));
    41     if(mid<y)  ans=min(ans,querysma(x,y,rson));
    42     return ans;
    43 }
    44 int main(){
    45     int n,m;
    46     while(~scanf("%d%d",&n,&m)){
    47         for(int i=1;i<=n;i++){
    48             scanf("%d",&a[i]);
    49         }
    50         build(iall);
    51         while(m--){
    52             int x,y;
    53             scanf("%d%d",&x,&y);
    54             printf("%d
    ",querybig(x,y,iall)-querysma(x,y,iall));
    55         }
    56     }
    57     return 0;
    58 }
    View Code

    end

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  • 原文地址:https://www.cnblogs.com/gaolzzxin/p/3878472.html
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