In this submission for the problem 31660028 the author used if(ans[ni][nj] < ans[v.fi][v.se] + 1) break;
condition. Can anyone guide me in proving that this algorithm with the break condition produces shortest paths and its complexity is O(n*m).
# | User | Rating |
---|---|---|
1 | tourist | 3985 |
2 | jiangly | 3814 |
3 | jqdai0815 | 3682 |
4 | Benq | 3529 |
5 | orzdevinwang | 3526 |
6 | ksun48 | 3517 |
7 | Radewoosh | 3410 |
8 | hos.lyric | 3399 |
9 | ecnerwala | 3392 |
9 | Um_nik | 3392 |
# | User | Contrib. |
---|---|---|
1 | cry | 169 |
2 | maomao90 | 162 |
2 | Um_nik | 162 |
4 | atcoder_official | 161 |
5 | djm03178 | 158 |
6 | -is-this-fft- | 157 |
7 | adamant | 155 |
8 | awoo | 154 |
8 | Dominater069 | 154 |
10 | luogu_official | 151 |
Formal proof for a approach of 877D — Olya and Energy Drinks
In this submission for the problem 31660028 the author used if(ans[ni][nj] < ans[v.fi][v.se] + 1) break;
condition. Can anyone guide me in proving that this algorithm with the break condition produces shortest paths and its complexity is O(n*m).
Name |
---|