{"trustable":true,"prependHtml":"\u003cstyle type\u003d\u0027text/css\u0027\u003e\n .input, .output {\n border: 1px solid #888888;\n }\n .output {\n margin-bottom: 1em;\n position: relative;\n top: -1px;\n }\n .output pre, .input pre {\n background-color: #EFEFEF;\n line-height: 1.25em;\n margin: 0;\n padding: 0.25em;\n }\n \u003c/style\u003e\n \u003clink rel\u003d\"stylesheet\" href\u003d\"//codeforces.org/s/96598/css/problem-statement.css\" type\u003d\"text/css\" /\u003e\u003cscript\u003e window.katexOptions \u003d { disable: true }; \u003c/script\u003e\n\u003cscript type\u003d\"text/x-mathjax-config\"\u003e\n MathJax.Hub.Config({\n tex2jax: {\n inlineMath: [[\u0027$$$\u0027,\u0027$$$\u0027], [\u0027$\u0027,\u0027$\u0027]],\n displayMath: [[\u0027$$$$$$\u0027,\u0027$$$$$$\u0027], [\u0027$$\u0027,\u0027$$\u0027]]\n }\n });\n\u003c/script\u003e\n\u003cscript type\u003d\"text/javascript\" async src\u003d\"https://mathjax.codeforces.org/MathJax.js?config\u003dTeX-AMS_HTML-full\"\u003e\u003c/script\u003e","sections":[{"title":"","value":{"format":"HTML","content":"\u003cp\u003eIt is my great honour to introduce myself to you here. My name is Aloysius Benjy Cobweb Dartagnan Egbert Felix Gaspar Humbert Ignatius Jayden Kasper Leroy Maximilian. As a storyteller, today I decide to tell you and others a story about the hero Huriyyah, and the monsters.\u003c/p\u003e\u003cp\u003eOnce upon a time, citizens in the city were suffering from $$$n$$$ powerful monsters. They ate small children who went out alone and even killed innocent persons. Before the hero appeared, the apprehension had overwhelmed the people for several decades.\u003c/p\u003e\u003cp\u003eFor the good of these unfortunate citizens, Huriyyah set off to the forest which was the main lair of monsters and fought with $$$n$$$ fierce and cruel monsters. The health point of the $$$i$$$-th monster was $$$HP_i$$$, and its attack value was $$$ATK_i$$$.\u003c/p\u003e\u003cp\u003eThey fought in a cave through a turn-based battle. During each second, the hero Huriyyah was attacked by monsters at first, and the damage was the sum of attack values of all alive monsters. Then he selected a monster and attacked it. The monster would suffer the damage of $$$k$$$ (its health point would decrease by $$$k$$$) which was the times of attacks it had been came under. That is to say, for each monster, the damage of the first time that Huriyyah attacked it was $$$1$$$, and the damage of Huriyyah\u0027s second attack to this monster was $$$2$$$, the third time to this monster was $$$3$$$, and so on. If at some time, the health point of a monster was less than or equal to zero, it died. The hero won if all monsters were killed.\u003c/p\u003e\u003cp\u003eNow, my smart audience, can you calculate the minimum amount of total damages our hero should suffer before he won the battle?\u003c/p\u003e"}},{"title":"Input","value":{"format":"HTML","content":"\u003cp\u003eThe input contains several test cases, and the first line is a positive integer $$$T$$$ indicating the number of test cases which is up to $$$10^3$$$.\u003c/p\u003e\u003cp\u003eFor each test case, the first line contains an integers $$$n~(1\\le n\\le 10^5)$$$ which is the number of monsters.\u003c/p\u003e\u003cp\u003eThe $$$i$$$-th line of the following $$$n$$$ lines contains two integers $$$HP_i$$$ and $$$ATK_i~(1\\le HP_i, ATK_i\\le 10^5)$$$ which describe a monster.\u003c/p\u003e\u003cp\u003eWe guarantee that the sum of $$$n$$$ in all test cases is up to $$$10^6$$$.\u003c/p\u003e"}},{"title":"Output","value":{"format":"HTML","content":"\u003cp\u003eFor each test case, output a line containing \u003cspan class\u003d\"tex-font-style-tt\"\u003eCase #x: y\u003c/span\u003e, where \u003cspan class\u003d\"tex-font-style-tt\"\u003ex\u003c/span\u003e is the test case number starting from $$$1$$$, and \u003cspan class\u003d\"tex-font-style-tt\"\u003ey\u003c/span\u003e is the minimum amount of total damages the hero should suffer.\u003c/p\u003e"}},{"title":"Examples","value":{"format":"HTML","content":"\u003ctable class\u003d\u0027vjudge_sample\u0027\u003e\n\u003cthead\u003e\n \u003ctr\u003e\n \u003cth\u003eInput\u003c/th\u003e\n \u003cth\u003eOutput\u003c/th\u003e\n \u003c/tr\u003e\n\u003c/thead\u003e\n\u003ctbody\u003e\n \u003ctr\u003e\n \u003ctd\u003e\u003cpre\u003e2\n3\n1 1\n2 2\n3 3\n3\n3 1\n2 2\n1 3\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003eCase #1: 19\nCase #2: 14\n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n"}}]}