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337 份提交通过，共有 1109 份提交。
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单点时限: 2.0 sec
内存限制: 256 MB
A group of cows grabbed a truck and ventured on an expedition deep into the jungle. Being rather poor drivers, the cows unfortunately managed to run over a rock and puncture the truck’s fuel tank. The truck now leaks one unit of fuel every unit of distance it travels.
To repair the truck, the cows need to drive to the nearest town (no more than $10^6$ units distant) down a long, winding road. On this road, between the town and the current location of the truck, there are $N$ $(1 \leq N \leq 10~000)$ fuel stops where the cows can stop to acquire additional fuel ($1$..$100$ units at each stop).
The jungle is a dangerous place for humans and is especially dangerous for cows. Therefore, the cows want to make the minimum possible number of stops for fuel on the way to the town. Fortunately, the capacity of the fuel tank on their truck is so large that there is effectively no limit to the amount of fuel it can hold. The truck is currently $L$ units away from the town and has $P$ units of fuel $(1 \leq P \leq 10^6)$.
Determine the minimum number of stops needed to reach the town, or if the cows cannot reach the town at all.
A single integer giving the minimum number of fuel stops necessary to reach the town. If it is not possible to reach the town, output $-1$.
4 4 4 5 2 11 5 15 10 25 10
The truck is 25 units away from the town; the truck has 10 units of fuel. Along the road, there are 4 fuel stops at distances 4, 5, 11, and 15 from the town (so these are initially at distances 21, 20, 14, and 10 from the truck). These fuel stops can supply up to 4, 2, 5, and 10 units of fuel, respectively.
Drive 10 units, stop to acquire 10 more units of fuel, drive 4 more units, stop to acquire 5 more units of fuel, then drive to the town.