CF555B Case of Fugitive

Andrewid the Android is a galaxy-famous detective. He is now chasing a criminal hiding on the planet Oxa-5, the planet almost fully covered with water. The only dry land there is an archipelago of $ n $ narrow islands located in a row. For more comfort let's represent them as non-intersecting segments on a straight line: island $ i $ has coordinates $ [l_{i},r_{i}] $ , besides, $ r_{i}<l_{i+1} $ for $ 1

The first line contains integers $ n $ ( $ 2

If it is impossible to place a bridge between each pair of adjacent islands in the required manner, print on a single line "No" (without the quotes), otherwise print in the first line "Yes" (without the quotes), and in the second line print $ n-1 $ numbers $ b_{1},b_{2},...,b_{n-1} $ , which mean that between islands $ i $ and $ i+1 $ there must be used a bridge number $ b_{i} $ . If there are multiple correct answers, print any of them. Note that in this problem it is necessary to print "Yes" and "No" in correct case.

In the first sample test you can, for example, place the second bridge between points 3 and 8, place the third bridge between points 7 and 10 and place the first bridge between points 10 and 14. In the second sample test the first bridge is too short and the second bridge is too long, so the solution doesn't exist.