I was recently solving 1316E - Team Building problem but I couldn't understand why we sorted the audience array. Can anyone help?
# | User | Rating |
---|---|---|
1 | tourist | 4009 |
2 | jiangly | 3773 |
3 | Radewoosh | 3646 |
4 | ecnerwala | 3624 |
5 | jqdai0815 | 3620 |
5 | Benq | 3620 |
7 | orzdevinwang | 3612 |
8 | Geothermal | 3569 |
8 | cnnfls_csy | 3569 |
10 | Um_nik | 3396 |
# | User | Contrib. |
---|---|---|
1 | Um_nik | 164 |
2 | maomao90 | 160 |
3 | -is-this-fft- | 159 |
4 | atcoder_official | 158 |
4 | cry | 158 |
4 | awoo | 158 |
7 | adamant | 155 |
8 | nor | 154 |
9 | maroonrk | 151 |
9 | Dominater069 | 151 |
I was recently solving 1316E - Team Building problem but I couldn't understand why we sorted the audience array. Can anyone help?
Name |
---|
I think it's because that the total number of people is not $$$n$$$.
So choosing audience is done greedily.. just pick the ones with highest $$$a_i$$$.
This way you don't have to add another dimension $$$(the \space number \space of \space audience)$$$ to your $$$dp$$$ state.
Or as the Tutorial says:
If we don't choose $$$i$$$ as a player, then we can take him as an audience member or not take him at all. I claim that if the number of audience members chosen till now $$$ \lt$$$ $$$k$$$ , then we must select $$$i$$$ as an audience member , We can prove this. If we don't select $$$i$$$ as audience, we will need to select some $$$j$$$ ($$$j \gt i$$$ ), strength in that case will include $$$a_j$$$ but not $$$a_i$$$ , but as $$$a_i \ge a_j$$$ , it is always better to select $$$i$$$ .
iam down