Is the outputting in the searching systems of the main and the mobile sites different?

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"The site, which is optimized for the small smartphone screens, attracts more visitors than those without such a layout. In addition, due to the latest changes in the policy of Google and Yandex search engines, such sites have begun to occupy the higher positions in the search results comparatively to the competitors' sites that are not responsive and adaptive. 

You can always check how well your site is optimized for the mobile devices using the special Google Mobile-Friendly service. "