You just inherited the rights to N (1 <= N <= 20) previously unreleased songs recorded by the popular group Raucous Rockers. You plan to release a set of M (1 <= M <= 20) compact disks with a selection of these songs. Each disk can hold a maximum of T (1 <= T <= 20) minutes of music, and a song can not overlap from one disk to another.

Since you are a classical music fan and have no way to judge the artistic merits of these songs, you decide on the following criteria for making the selection:

• The songs on the set of disks must appear in the order of the dates that they were written.
• The total number of songs included will be maximized.

PROGRAM NAME: rockers

INPUT FORMAT

SAMPLE INPUT (file rockers.in)

4 5 2
4 3 4 2

OUTPUT FORMAT

A single line with an integer that is the number of songs that will fit on M disks.

SAMPLE OUTPUT (file rockers.out)

3

USER: Qi Shen [maxkibb3]
TASK: rockers
LANG: C++Compiling...
Compile: OKExecuting...Test 1: TEST OK [0.000 secs, 4184 KB]Test 2: TEST OK [0.000 secs, 4184 KB]Test 3: TEST OK [0.000 secs, 4184 KB]Test 4: TEST OK [0.000 secs, 4184 KB]Test 5: TEST OK [0.000 secs, 4184 KB]Test 6: TEST OK [0.000 secs, 4184 KB]Test 7: TEST OK [0.000 secs, 4184 KB]Test 8: TEST OK [0.097 secs, 4184 KB]Test 9: TEST OK [0.011 secs, 4184 KB]Test 10: TEST OK [0.000 secs, 4184 KB]Test 11: TEST OK [0.032 secs, 4184 KB]Test 12: TEST OK [0.205 secs, 4184 KB]All tests OK.

Your program ('rockers') produced all correct answers! This is your submission #2 for this problem. Congratulations!

/*
ID:maxkibb3
LANG:C++
PROB:rockers
*/#include<cstdio>int n, t, m;
int songs[25];
int ans;void dfs(int s_id, int d_id, int left_size, int num) {if(d_id == m || s_id == n) {if(num > ans) ans = num;return;}if(ans == n) return;dfs(s_id + 1, d_id, left_size, num);if(left_size >= songs[s_id]) dfs(s_id + 1, d_id, left_size - songs[s_id], num + 1);if(songs[s_id] <= t && d_id < m - 1) dfs(s_id + 1, d_id + 1, t - songs[s_id], num + 1);
}int main() {freopen("rockers.in", "r", stdin);freopen("rockers.out", "w", stdout);scanf("%d%d%d", &n, &t, &m);for(int i = 0; i < n; i++) scanf("%d", &songs[i]);dfs(0, 0, t, 0);printf("%d\n", ans);
}