Bessie likes to watch shows on Mooloo. Because Bessie is a busy cow, she has planned a schedule for the next N (1≤N≤10^5) days that she will watch Mooloo. Because Mooloo is a paid subscription service, she now needs to decide how to minimize the amount of money she needs to pay.

Mooloo has an interesting subscription system: it costs d+K (1≤K≤10^9) moonies to subscribe to Mooloo for d consecutive days. You can start a subscription at any time, and you can start a new subscription as many times as you desire if your current subscription expires. Given this, figure out the minimum amount of moonies Bessie needs to pay to fulfill her schedule.

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#5500

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