【ZOJ - 3872】Beauty of Array(思维,计算贡献,枚举)
題干:
Edward has an array?A?with?N?integers. He defines the beauty of an array as the summation of all distinct integers in the array. Now Edward wants to know the summation of the beauty of all contiguous subarray of the array?A.
Input
There are multiple test cases. The first line of input contains an integer?Tindicating the number of test cases. For each test case:
The first line contains an integer?N?(1 <=?N?<= 100000), which indicates the size of the array. The next line contains?N?positive integers separated by spaces. Every integer is no larger than 1000000.
Output
For each case, print the answer in one line.
Sample Input
3 5 1 2 3 4 5 3 2 3 3 4 2 3 3 2Sample Output
105 21 38題目大意:
這個題的意思就是給n個數,求這n個數的子序列中不算重復的數的和。
比如第二個樣例他的子序列就是{2},{2,3},{2,3,3},{3},{3,3},{3};
但每個子序列中重復的元素不被算入,所以他們的總和就是2+5+5+3+3+3=21;
解題報告:
?計算每個位置上的值出現的次數,為了避免重復計算,我們只在他認為他對他后面的數組有效,當后面的數組要用到前面的值的時候,這個數組是無效的。所以我們只需要記錄每個數字出現的位置就可以了。然后直接暴力統計? 包含這個位置的數值 的 子數組個數就好了。
AC代碼:
#include<cstdio> #include<iostream> #include<algorithm> #include<queue> #include<map> #include<vector> #include<set> #include<string> #include<cmath> #include<cstring> #define F first #define S second #define ll long long #define pb push_back #define pm make_pair using namespace std; typedef pair<int,int> PII; const int MAX = 1e6 + 5; int pos[MAX]; int main() {int t,n;cin>>t;while(t--) {scanf("%d",&n);memset(pos,0,sizeof pos);ll ans = 0;for(int x,i = 1; i<=n; i++) {scanf("%d",&x);ans += (i-pos[x]) * (n-i+1LL)*x;pos[x] = i;}printf("%lld\n",ans);}return 0 ; }?
總結
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