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Re:树状数组 + 离散化In Reply To:树状数组 + 离散化 Posted by:zhouzp15 at 2017-01-20 14:38:38 > 看过题解之后总结需要注意的几个地方: > > 1. 虽然总体数据数量不过5e5,但数据的范围达到了1e9左右,这里树状数组维护了一种类似于bitmap的结构,1e9这么大的范围如果不离散化的话空间上肯定是不允许的; > > 2. 所以需要开一个数组(比如说叫做index[])进行离散化,index[i]含义是:如果原序列中,位于i的元素在有序序列中的位置是j,那么index[i] = j。初始化和求和的时候都需要用离散化之后的这个数组进行操作; > > 3. 一个长度为n的向量中逆序对的数量O(n^2),输出要用long long,如果用printf输出需要用%lld。 > > #include <iostream> > #include <algorithm> > #include <cstring> > #include <cstdio> > using namespace std; > > const int N = 5e5 + 5; > typedef long long LL; > struct Node { int val, pos; } a[N]; > int tree[N], index[N], n; > > bool cmp(const Node &x, const Node &y) { return x.val < y.val; } > > #define lowbit(x) (x & -x) > void add(int idx) { while (idx <= n) tree[idx]++, idx += lowbit(idx); } > int sum(int idx) { int s = 0; while (idx > 0) s += tree[idx], idx -= lowbit(idx); return s; } > > int main() > { > while (scanf("%d", &n) == 1 && n) > { > memset(tree, 0, sizeof(tree)); > for (int i = 1; i <= n; i++) scanf("%d", &(a[i].val)), a[i].pos = i; > sort(a + 1, a + n + 1, cmp); > for (int i = 1; i <= n; i++) index[ a[i].pos ] = i; > > LL ans = 0; > for (int i = 1; i <= n; i++) add(index[i]), ans += i - sum(index[i]); > printf("%lld\n", ans); > } > return 0; > } Followed by: Post your reply here: |
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