Bessie is such a hard-working cow. In fact, she is so focused on maximizing her productivity that she decides to schedule her next N (1 ≤ N ≤ 1,000,000) hours (conveniently labeled 0..N-1) so that she produces as much milk as possible.
Farmer John has a list of M (1 ≤ M ≤ 1,000) possibly overlapping intervals in which he is available for milking. Each interval i has a starting hour (0 ≤ starting_houri ≤ N), an ending hour (starting_houri < ending_houri ≤ N), and a corresponding efficiency (1 ≤ efficiencyi ≤ 1,000,000) which indicates how many gallons of milk that he can get out of Bessie in that interval. Farmer John starts and stops milking at the beginning of the starting hour and ending hour, respectively. When being milked, Bessie must be milked through an entire interval.
Even Bessie has her limitations, though. After being milked during any interval, she must rest R (1 ≤ R ≤ N) hours before she can start milking again. Given Farmer Johns list of intervals, determine the maximum amount of milk that Bessie can produce in the N hours.
- Line 1: Three space-separated integers: N, M, and R
- Lines 2..M+1: Line i+1 describes FJ’s ith milking interval withthree space-separated integers: starting_houri , ending_houri , and efficiencyi
- Line 1: The maximum number of gallons of milk that Bessie can product in the N hours
12 4 2
1 2 8
10 12 19
3 6 24
7 10 31
- 这题有点像贪心中的区间问题，排完序后,定义dp[i]为：，到dp[i].end这个时间点为止，可以获得的最大收益。显然，dp[i]满足如下递推式：dp[i] = dp[k] + T[i].gollon。（其中k为dp[0 to i - 1]的最大值下标，且T[k].end <= T[i].start）