Solve in python. Takahashi has decided to fly in the sky with balloons. Takahashi is at altitude H at time 0 (the unit is seconds), and will fly for 10 9 seconds from now. Takahashi can change his flying altitude by up to 1 per second. However, he cannot make his altitude 0 or less. In other words, if F(t) denotes Takahashi's altitude at time t, then F(t) satisfies all of the following conditions: F(0)=H 1 ut F(u)F(t) 1 for 0t0 for 0t10 9 . There are N goals regarding altitude. The i-th goal is to make the altitude at time t i at least l i and at most u i . Is it possible for Takahashi to fly in a way that achieves all goals? You are given T test cases; solve each of them. Constraints 1T10 5 1N10 5 1H10 9 1t 1