浙江省赛 D Let's Chat
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ACM (ACMers' Chatting Messenger) is a famous instant messaging software developed by Marjar Technology Company. To attract more users, Edward, the boss of Marjar Company, has recently added a new feature to the software. The new feature can be described as follows:
If two users, A and B, have been sending messages to each other on the lastmconsecutive days, the "friendship point" between them will be increased by 1 point.
More formally, if user A sent messages to user B on each day between the (i -m + 1)-th day and thei-th day (both inclusive), and user B also sent messages to user A on each day between the (i -m + 1)-th day and thei-th day (also both inclusive), the "friendship point" between A and B will be increased by 1 at the end of thei-th day.
Given the chatting logs of two users A and B during n consecutive days, what's the number of the friendship points between them at the end of then-th day (given that the initial friendship point between them is 0)?
Input
There are multiple test cases. The first line of input contains an integer T (1 ≤ T ≤ 10), indicating the number of test cases. For each test case:
The first line contains 4 integers n (1 ≤ n ≤ 109),m (1 ≤m ≤ n), x and y (1 ≤x, y ≤ 100). The meanings of n and m are described above, whilex indicates the number of chatting logs about the messages sent by A to B, andy indicates the number of chatting logs about the messages sent by B to A.
For the following x lines, the i-th line contains 2 integersla,i and ra,i (1 ≤la,i ≤ra,i ≤n), indicating that A sent messages to B on each day between thela,i-th day and the ra,i-th day (both inclusive).
For the following y lines, the i-th line contains 2 integerslb,i and rb,i (1 ≤lb,i ≤rb,i ≤n), indicating that B sent messages to A on each day between thelb,i-th day and the rb,i-th day (both inclusive).
It is guaranteed that for all 1 ≤ i < x, ra,i + 1 <la,i + 1 and for all 1 ≤i < y, rb,i + 1 <lb,i + 1.
Output
For each test case, output one line containing one integer, indicating the number of friendship points between A and B at the end of then-th day.
Sample Input
210 3 3 21 35 810 101 810 105 3 1 11 24 5
Sample Output
30
思路:贪心算法:观察可以转化为区间上的公共部分的问题
#include <iostream>#include<cstdio>#include<algorithm>using namespace std;int x[105][105],y[105][105];int main(){ int icase; // freopen("e:\\in.txt","r",stdin); scanf("%d",&icase); while(icase--) { int n,m,X,Y; scanf("%d%d%d%d",&n,&m,&X,&Y); for(int i=1;i<=X;i++) for(int j=1;j<=2;j++) scanf("%d",&x[i][j]); for(int i=1;i<=Y;i++) for(int j=1;j<=2;j++) scanf("%d",&y[i][j]); int re=0; for(int i=1;i<=X;i++) { if(x[i][2]-x[i][1]<m-1) continue; for(int j=1;j<=Y;j++) { if(y[j][2]-y[j][1]<m-1) continue; int l=max(y[j][1],x[i][1]), r=min(x[i][2],y[j][2]), length=r-l+1; if(length>=m) re+=length-m+1; } } printf("%d\n",re); } return 0;}
Hint
For the first test case, user A and user B send messages to each other on the 1st, 2nd, 3rd, 5th, 6th, 7th, 8th and 10th day. Asm = 3, the friendship points between them will be increased by 1 at the end of the 3rd, 7th and 8th day. So the answer is 3.
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