In this problem the number of integer points on a segment is gcd(x,y)+1. where x = abs(x1-x2) and y = abs(y1-y2). But why it does? Anyone please explain it. Thanks in advance.
№ | Пользователь | Рейтинг |
---|---|---|
1 | jiangly | 3640 |
2 | Benq | 3593 |
3 | tourist | 3572 |
4 | orzdevinwang | 3561 |
5 | cnnfls_csy | 3539 |
6 | ecnerwala | 3534 |
7 | Radewoosh | 3532 |
8 | gyh20 | 3447 |
9 | Rebelz | 3409 |
10 | Geothermal | 3408 |
Страны | Города | Организации | Всё → |
№ | Пользователь | Вклад |
---|---|---|
1 | maomao90 | 173 |
2 | adamant | 164 |
3 | awoo | 161 |
4 | TheScrasse | 160 |
5 | nor | 159 |
6 | maroonrk | 156 |
7 | SecondThread | 152 |
8 | pajenegod | 146 |
9 | BledDest | 144 |
10 | Um_nik | 143 |
In this problem the number of integer points on a segment is gcd(x,y)+1. where x = abs(x1-x2) and y = abs(y1-y2). But why it does? Anyone please explain it. Thanks in advance.
Название |
---|
you can find answer whit this formula. sqrt((x2-x1)^2+(Y2-Y1)^2)/(max(tg a, ctg a)) where a is angel betveen segment and x axis
https://www.geeksforgeeks.org/number-integral-points-two-points/