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HDU 1166 敌兵布阵 (线段树 单点更新)

题目链接

线段树掌握的很差,打算从头从最简单的开始刷一波, 嗯。。就从这个题开始吧!

 1 #include <iostream> 2 #include <cstdio> 3 #include <cstring> 4 #include <queue> 5 #include <cstdlib> 6 #include <algorithm> 7 const int maxn = 50000+10; 8 using namespace std; 9 int a[maxn], n;10 struct line11 {12     int l, r, val;13 }tr[maxn<<2];14 15 void build(int o, int l, int r)16 {17     tr[o].l = l; tr[o].r = r;18     if(l == r)19     {20         tr[o].val = a[l];21         return;22     }23     int mid = (l+r)>>1;24     build(2*o, l, mid);25     build(2*o+1, mid+1, r);26     tr[o].val = tr[2*o].val+tr[2*o+1].val;27 }28 int query(int o, int l, int r)29 {30    if(tr[o].l==l && tr[o].r==r)31    return tr[o].val;32    int mid = (tr[o].l+tr[o].r)>>1;33    if(r <= mid) query(2*o, l, r);34    else if(l > mid) query(2*o+1, l, r);35    else36        return (query(2*o, l, mid)+query(2*o+1, mid+1, r));37 }38 void update(int o, int p, int add)39 {40     if(tr[o].l==tr[o].r&&tr[o].l==p)41     {42             tr[o].val += add;43             return;44     }45     int mid = (tr[o].l+tr[o].r)>>1;46     if(p<=mid) update(2*o, p, add);47     else update(2*o+1, p, add);48     tr[o].val = tr[2*o].val+tr[2*o+1].val;49 }50 int main()51 {52     int t, i, ca = 1;53     int p, add, l, r;54     char s[20];55     scanf("%d", &t);56     while(t--)57     {58         scanf("%d", &n);59         for(i = 1; i <= n; i++)60         scanf("%d", &a[i]);61         printf("Case %d:\n", ca++);62 63         build(1, 1, n);64         while(~scanf("%s", s))65         {66             if(strcmp(s, "End")==0) break;67             if(s[0]==Q)68             {69                 scanf("%d%d", &l, &r);70                 printf("%d\n", query(1, l, r));71             }72             if(s[0]==A)73             {74                 scanf("%d%d", &p, &add);75                 update(1, p, add);76             }77             if(s[0]==S)78             {79                 scanf("%d%d", &p, &add);80                 update(1, p, -add);81             }82         }83     }84     return 0;85 }

注释的代码:

 1 #include <iostream> 2 #include <cstdio> 3 #include <cstring> 4 #include <queue> 5 #include <cstdlib> 6 #include <algorithm> 7 const int maxn = 50000+10; 8 using namespace std; 9 int a[maxn], n;10 struct line11 {12     int l, r, val;   //val表示该区间的和13 }tr[maxn<<2];14 15 void build(int o, int l, int r) //o代表当前节点编号16 {17     tr[o].l = l; tr[o].r = r;18     if(l == r)19     {20         tr[o].val = a[l];21         return;22     }23     int mid = (l+r)>>1;24     build(2*o, l, mid);25     build(2*o+1, mid+1, r);26     tr[o].val = tr[2*o].val+tr[2*o+1].val;  //建树把值从下往上加起来27 }28 int query(int o, int l, int r)  //求l到r的和29 {30    if(tr[o].l==l && tr[o].r==r) //节点的区间吻合返回31    return tr[o].val;32    int mid = (tr[o].l+tr[o].r)>>1;33    if(r <= mid) query(2*o, l, r);34    else if(l > mid) query(2*o+1, l, r);35    else36        return (query(2*o, l, mid)+query(2*o+1, mid+1, r)); //横跨了区间37 }38 void update(int o, int p, int add) //对p节点增加add39 {40     if(tr[o].l==tr[o].r&&tr[o].l==p)41     {42             tr[o].val += add;43             return;44     }45     int mid = (tr[o].l+tr[o].r)>>1;46     if(p<=mid) update(2*o, p, add);47     else update(2*o+1, p, add);48     tr[o].val = tr[2*o].val+tr[2*o+1].val;  //找到值以后的更新49 }50 int main()51 {52     int t, i, ca = 1;53     int p, add, l, r;54     char s[20];55     scanf("%d", &t);56     while(t--)57     {58         scanf("%d", &n);59         for(i = 1; i <= n; i++)60         scanf("%d", &a[i]);61         printf("Case %d:\n", ca++);62 63         build(1, 1, n);64         while(~scanf("%s", s))65         {66             if(strcmp(s, "End")==0) break;67             if(s[0]==Q)68             {69                 scanf("%d%d", &l, &r);70                 printf("%d\n", query(1, l, r));71             }72             if(s[0]==A)73             {74                 scanf("%d%d", &p, &add);75                 update(1, p, add);76             }77             if(s[0]==S)78             {79                 scanf("%d%d", &p, &add);80                 update(1, p, -add);81             }82         }83     }84     return 0;85 }