逆序数
逆序数
https://ac.nowcoder.com/acm/problem/15163
归并排序
直接在归并排序改一个地方就行了,就是a[x]>a[y]的时候,多一步计数即可。
也可以采取树状数组查询之前比你大的数出现几个,数据较小可以不离散处理,大一点可以离散。
#pragma GCC target("avx,sse2,sse3,sse4,popcnt")
#pragma GCC optimize("O2,O3,Ofast,inline,unroll-all-loops,-ffast-math")
#include <bits/stdc++.h>
using namespace std;
#define js ios::sync_with_stdio(false);cin.tie(0); cout.tie(0)
typedef long long ll; typedef unsigned long long ull; typedef long double ld;
const ll MOD = 1e9 + 7;
inline ll read() { ll s = 0, w = 1; char ch = getchar(); while (ch < 48 || ch > 57) { if (ch == '-') w = -1; ch = getchar(); } while (ch >= 48 && ch <= 57) s = (s << 1) + (s << 3) + (ch ^ 48), ch = getchar(); return s * w; }
inline void write(ll x) { if (!x) { putchar('0'); return; } char F[40]; ll tmp = x > 0 ? x : -x; if (x < 0)putchar('-'); int cnt = 0; while (tmp > 0) { F[cnt++] = tmp % 10 + '0'; tmp /= 10; } while (cnt > 0)putchar(F[--cnt]); }
inline ll gcd(ll x, ll y) { return y ? gcd(y, x % y) : x; }
ll qpow(ll a, ll b) { ll ans = 1; while (b) { if (b & 1) ans *= a; b >>= 1; a *= a; } return ans; } ll qpow(ll a, ll b, ll mod) { ll ans = 1; while (b) { if (b & 1)(ans *= a) %= mod; b >>= 1; (a *= a) %= mod; }return ans % mod; }
inline int lowbit(int x) { return x & (-x); }
const int N = 1e5 + 7;
int a[N], b[N];
ll ans = 0;
void merge_sort(int l, int r) {
if (l == r) return;
int mid = l + r >> 1;
merge_sort(l, mid);
merge_sort(mid + 1, r);
int x = l, y = mid + 1, i = 0;
for (; i < r - l + 1; ++i) {
if (x <= mid && y <= r) {
if (a[x] > a[y])
ans += mid - x + 1, b[i] = a[y++];
else b[i] = a[x++];
}
else {
if (x <= mid) b[i] = a[x++];
if (y <= r) b[i] = a[y++];
}
}
while (~(--i)) a[r--] = b[i];
}
int main() {
int n = read();
for (int i = 1; i <= n; ++i) a[i] = read();
merge_sort(1, n);
write(ans), putchar(10);
return 0;
} 牛客算法竞赛入门课 文章被收录于专栏
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