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ACM模板——线段树&树状数组&ST表

int d[1000006][25];
int mn[1000006];
void rmq_init()
{
    for(int i=1;i<=n;i++)
        d[i][0]=a[i];
    for(int j=1;(1<<j)<=n;j++)
      for(int i=1;i+(1<<j)-1<=n;i++)
        d[i][j]=min(d[i][j-1],d[i+(1<<(j-1))][j-1]);
    for(int len=1;len<=n;++len){
        int k=0;
        while((1<<(k+1))<=len)
            k++;
        mn[len]=k;
    }
}
int rmq(int L,int R)
{
    int k=mn[R-L+1];
    return min(d[L][k],d[R-(1<<k)+1][k]);
}

ST表

const int maxn = 504;

int d[maxn][maxn];
int n;
void init()
{
    n = maxn;
    memset(d,0,sizeof(d));
}
void update(int x,const int&y,const int&V)
{
    for(;x<=n;x+=(x&(-x)))
        for(int j = y;j <= n;j += (j&(-j)))
            d[x][j]+=V;
}
int getsum(int x,const int &y)
{
    int res = 0;
    for(;x;x -= x&(-x))
        for(int j = y;j;j-=j&(-j))
            res += d[x][j];
    return res;
}

二维树状数组

const int maxn = 1 << 18;

int n, dat[2*maxn];

void init()
{
    n = (1 << 18)-2;
    memset(dat,0,sizeof(dat));
}

//更新第k(0-index)个值为a
void update(int k,int a)
{
    k += n+1;
    dat[k] = a;
    while(k>0)
    {
        k = (k-1)/2;
        dat[k] = dat[k*2+1]+dat[k*2+2];
    }
}

//求[a,b)val
//query(a,b,0,0,n)
int query(int a,int b,int k,int l,int r)
{
    //不相交
    if(r<a || b<l) return 0;

    if(a<=l && r<=b) {return dat[k];}
    else
    {
        int vl = query(a,b,k*2+1,l,(l+r)/2);
        int vr = query(a,b,k*2+2,(l+r)/2+1,r);
        
        return vl+vr;
    }
    return -1;//error
}

线段树(单点更新区间查询)

 1 #include <bits/stdc++.h>
 2 typedef long long ll;
 3 using namespace std;
 4 #define _for(i,a,b) for(int i = (a);i < b;i ++)
 5 #define _rep(i,a,b) for(int i = (a);i > b;i --)
 6 #define INF 0x3f3f3f3f
 7 #define MOD 1000000007
 8 #define pb push_back
 9 #define maxn 100003
10 inline ll read()
11 {
12     ll ans = 0;
13     char ch = getchar(), last = ' ';
14     while(!isdigit(ch)) last = ch, ch = getchar();
15     while(isdigit(ch)) ans = (ans << 1) + (ans << 3) + ch - '0', ch = getchar();
16     if(last == '-') ans = -ans;
17     return ans;
18 }
19 inline void write(ll x)
20 {
21     if(x < 0) x = -x, putchar('-');
22     if(x >= 10) write(x / 10);
23     putchar(x % 10 + '0');
24 }
25 int c[500003];
26 int N,M;
27 int ask(int x)
28 {
29     int ans = 0;
30     for(; x; x -= x&-x) ans += c[x];
31     return ans;
32 }
33 void add(int x,int y)
34 {
35     for(; x <= N; x += x & -x)
36         c[x]+=y;
37 }
38 
39 int main()
40 {
41     N = read();
42     M = read();
43     _for(i,1,N+1)
44     add(i,read());
45     _for(i,0,M)
46     {
47         int op = read();
48         if(op==2)
49         {
50             int l = read();
51             int r = read();
52             printf("%d
",ask(r)-ask(l-1));
53         }
54         else
55         {
56             int a = read();
57             int b = read();
58             add(a,b);
59         }
60     }
61     return 0;
62 }

树状数组(单点更新区间查询)

 1 #include <bits/stdc++.h>
 2 typedef long long ll;
 3 using namespace std;
 4 #define _for(i,a,b) for(int i = (a);i < b;i ++)
 5 #define _rep(i,a,b) for(int i = (a);i > b;i --)
 6 #define INF 0x3f3f3f3f
 7 #define MOD 1000000007
 8 #define pb push_back
 9 #define maxn 100003
10 inline ll read()
11 {
12     ll ans = 0;
13     char ch = getchar(), last = ' ';
14     while(!isdigit(ch)) last = ch, ch = getchar();
15     while(isdigit(ch)) ans = (ans << 1) + (ans << 3) + ch - '0', ch = getchar();
16     if(last == '-') ans = -ans;
17     return ans;
18 }
19 inline void write(ll x)
20 {
21     if(x < 0) x = -x, putchar('-');
22     if(x >= 10) write(x / 10);
23     putchar(x % 10 + '0');
24 }
25 int c[500003];
26 int num[500003];
27 int N,M;
28 int ask(int x)
29 {
30     int ans = 0;
31     for(; x; x -= x&-x) ans += c[x];
32     return ans;
33 }
34 void add(int x,int y)
35 {
36     for(; x <= N; x += x & -x)
37         c[x]+=y;
38 }
39 
40 void add2(int l,int r,int y)
41 {
42     add(l,y);
43     add(r+1,-y);
44 } 
45 int main()
46 {
47     N = read();
48     M = read();
49     _for(i,1,N+1)
50         num[i] = read();
51     _for(i,0,M)
52     {
53         int op = read();
54         if(op==2)
55         {
56             int x = read();
57             printf("%d
",num[x]+ask(x));
58         }
59         else
60         {
61             int l = read();
62             int r = read();
63             int y = read();
64             add2(l,r,y);
65         }
66     }
67     return 0;
68 }

树状数组(区间更新单点查询)

  1 #include <bits/stdc++.h>
  2 typedef long long ll;
  3 using namespace std;
  4 #define _for(i,a,b) for(int i = (a);i < b;i ++)
  5 #define _rep(i,a,b) for(int i = (a);i > b;i --)
  6 #define INF 0x3f3f3f3f
  7 #define MOD 1000000007
  8 #define pb push_back
  9 #define maxn 100003
 10 inline ll read()
 11 {
 12     ll ans = 0;
 13     char ch = getchar(), last = ' ';
 14     while(!isdigit(ch)) last = ch, ch = getchar();
 15     while(isdigit(ch)) ans = (ans << 1) + (ans << 3) + ch - '0', ch = getchar();
 16     if(last == '-') ans = -ans;
 17     return ans;
 18 }
 19 inline void write(ll x)
 20 {
 21     if(x < 0) x = -x, putchar('-');
 22     if(x >= 10) write(x / 10);
 23     putchar(x % 10 + '0');
 24 }
 25 struct segtree
 26 {
 27     int l,r;
 28     ll sum,add;
 29     #define l(x) t[x].l
 30     #define r(x) t[x].r
 31     #define sum(x) t[x].sum
 32     #define add(x) t[x].add
 33 }t[maxn<<2];
 34 int a[maxn];
 35 int N,M;
 36 
 37 void build(int p,int l,int r)
 38 {
 39     l(p) = l,r(p) = r;
 40     if(l==r){sum(p)=a[l];return ;}
 41     int mid = (l+r)/2;
 42     build(p*2,l,mid);
 43     build(p*2+1,mid+1,r);
 44     sum(p) = sum(p*2)+sum(p*2+1);
 45 }
 46 void spread(int p)
 47 {
 48     if(add(p))
 49     {
 50         sum(p*2) += add(p)*(r(p*2)-l(p*2)+1);
 51         sum(p*2+1) += add(p)*(r(p*2+1)-l(p*2+1)+1);
 52         add(p*2) += add(p);
 53         add(p*2+1) += add(p);
 54         add(p) = 0; 
 55     }
 56 }
 57 void change(int p,int l,int r,int d)
 58 {
 59     if(l <= l(p) and r >= r(p))
 60     {
 61         sum(p) += (ll)d * (r(p)-l(p)+1);
 62         add(p) += d;
 63         return ;
 64     }
 65     spread(p);
 66     int mid = (l(p)+r(p))/2;
 67     if(l <= mid)
 68         change(p*2,l,r,d);
 69     if(r > mid)
 70         change(p*2+1,l,r,d);
 71     sum(p) = sum(p*2)+sum(p*2+1);
 72 }
 73 ll ask(int p,int l,int r)
 74 {
 75     if(l <= l(p) and r >= r(p))
 76         return sum(p);
 77     spread(p);
 78     int mid = (l(p)+r(p))/2;
 79     ll val = 0;
 80     if(l <= mid)
 81         val += ask(p*2,l,r);
 82     if(r > mid)
 83         val += ask(p*2+1,l,r);
 84     return val; 
 85 }
 86 int main()
 87 {
 88     N = read();
 89     M = read();
 90     _for(i,1,N+1)
 91         a[i] = read();
 92     build(1,1,N);
 93     _for(i,1,M+1)
 94     {
 95         int op = read();
 96         if(op==1)
 97         {
 98             int l = read();
 99             int r = read();
100             int y = read();
101             change(1,l,r,y);
102         }
103         else
104         {
105             int l = read();
106             int r = read();
107             printf("%lld
",ask(1,l,r));
108         }
109     }
110     return 0;
111 }

线段树(区间更新区间查询)

ST表的板子是抄的：https://www.cnblogs.com/autsky-jadek/p/7327416.html

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原文地址：https://www.cnblogs.com/Asurudo/p/10658452.html