In my opinion, you should not be discouraged, but you may benefit from considering colleges with slightly more accommodating acceptance rates than that of Williams. This post offers brief descriptions of some comparable colleges and may offer you ideas: Struggling with D21's List. ED & ED2: Amherst, Hamilton, Wellesley, Vassar - #7 by merc81. Based on your apparent interests in physics, math and data science, Hamilton could make an excellent choice, for example. Students interested in, say, cognitive science may want to consider Vassar; for those interested in economics, Middlebury may be desirable (Economics rankings: US Economics Departments at Liberal Arts Colleges | IDEAS/RePEc). As with Williams, the schools just listed are all strong across a range of academic disciplines. For substantiation of some of these suggestions, this (now older) Forbes article may be worth a view: https://www.forbes.com/sites/nataliesportelli/2017/04/26/10-expensive-colleges-worth-every-penny-2017/amp/.
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