solution

src/App.tsx

@@ -1,5 +1,8 @@
+import { Routes, Route, Navigate } from 'react-router-dom';
 import { PeoplePage } from './components/PeoplePage';
 import { Navbar } from './components/Navbar';
+import { HomePage } from './components/HomePage';
+import { NotFoundPage } from './components/NotFoundPage';
 
 import './App.scss';
 
@@ -10,9 +13,14 @@ export const App = () => {
 
       <div className="section">
         <div className="container">
-          <h1 className="title">Home Page</h1>
-          <h1 className="title">Page not found</h1>
-          <PeoplePage />
+          <Routes>
+            <Route path="/" element={<HomePage />} />
+            <Route path="/home" element={<Navigate to="/" />} />
+            <Route path="/people">
+              <Route path=":personSlug?" element={<PeoplePage />} />
+            </Route>
+            <Route path="*" element={<NotFoundPage />} />
+          </Routes>
         </div>
       </div>
     </div>

src/components/HomePage.tsx

@@ -0,0 +1,7 @@
+import React from 'react';
+
+export const HomePage: React.FC = () => {
+  return (
+    <h1 className="title">Home Page</h1>
+  );
+};

src/components/Navbar.tsx

@@ -1,4 +1,15 @@
+import { NavLink, useSearchParams } from 'react-router-dom';
+import classNames from 'classnames';
+
+const getNavLinkClass = ({ isActive }: { isActive: boolean }) => {
+  return classNames('navbar-item', {
+    'has-background-grey-lighter': isActive,
+  });
+};
+
 export const Navbar = () => {
+  const [searchParams] = useSearchParams();
+
   return (
     <nav
       data-cy="nav"
@@ -8,15 +19,16 @@ export const Navbar = () => {
     >
       <div className="container">
         <div className="navbar-brand">
-          <a className="navbar-item" href="#/">Home</a>
-
-          <a
-            aria-current="page"
-            className="navbar-item has-background-grey-lighter"
-            href="#/people"
+          <NavLink to="/" className={getNavLinkClass}>Home</NavLink>
+          <NavLink
+            to={{
+              pathname: 'people',
+              search: searchParams.toString(),
+            }}
+            className={getNavLinkClass}
           >
             People
-          </a>
+          </NavLink>
         </div>
       </div>
     </nav>

src/components/NotFoundPage.tsx

@@ -0,0 +1,7 @@
+import React from 'react';
+
+export const NotFoundPage: React.FC = () => {
+  return (
+    <h1 className="title">Page not found</h1>
+  );
+};

src/components/PeopleFilters.tsx

@@ -1,12 +1,90 @@
+import { Link, useSearchParams } from 'react-router-dom';
+import classNames from 'classnames';
+import React, { useEffect, useState } from 'react';
+import { FilterParams } from '../types';
+
+const filterCenturies = [16, 17, 18, 19, 20];
+
 export const PeopleFilters = () => {
+  const [searchParams, setSearchParams] = useSearchParams();
+  const centuries = searchParams.getAll(FilterParams.CENTURIES) || [];
+  const defaultQuery = searchParams.get(FilterParams.NAME) || '';
+  const [query, setQuery] = useState(defaultQuery);
+
+  const getParams = (key: FilterParams, value = '') => {
+    const params = new URLSearchParams(searchParams);
+
+    if (value.trim()) {
+      if (key === FilterParams.CENTURIES) {
+        const newCenturies = centuries.includes(value)
+          ? centuries.filter(century => century !== value)
+          : [...centuries, value];
+
+        params.delete(FilterParams.CENTURIES);
+
+        newCenturies.forEach(century => {
+          params.append(FilterParams.CENTURIES, century);
+        });
+      } else {
+        params.set(key, value.trim());
+      }
+    } else {
+      params.delete(key);
+    }
+
+    return params.toString();
+  };
+
+  const getResetParams = () => {
+    const params = new URLSearchParams(searchParams);
+
+    params.delete(FilterParams.NAME);
+    params.delete(FilterParams.SEX);
+    params.delete(FilterParams.CENTURIES);
+
+    return params.toString();
+  };
+
+  const handleChangeQuery = (e: React.ChangeEvent<HTMLInputElement>) => {
+    setQuery(e.currentTarget.value);
+    setSearchParams(getParams(FilterParams.NAME, e.currentTarget.value));
+  };
+
+  useEffect(() => {
+    if (!defaultQuery) {
+      setQuery('');
+    }
+  }, [defaultQuery]);
+
   return (
     <nav className="panel">
       <p className="panel-heading">Filters</p>
 
       <p className="panel-tabs" data-cy="SexFilter">
-        <a className="is-active" href="#/people">All</a>
-        <a className="" href="#/people?sex=m">Male</a>
-        <a className="" href="#/people?sex=f">Female</a>
+        <Link
+          to={{ search: getParams(FilterParams.SEX) }}
+          className={classNames({
+            'is-active': !searchParams.has(FilterParams.SEX),
+          })}
+        >
+          All
+        </Link>
+        <Link
+          to={{ search: getParams(FilterParams.SEX, 'm') }}
+          className={classNames({
+            'is-active': searchParams.get(FilterParams.SEX) === 'm',
+          })}
+        >
+          Male
+        </Link>
+        <Link
+          to={{ search: getParams(FilterParams.SEX, 'f') }}
+          className={classNames({
+            'is-active': searchParams.get(FilterParams.SEX) === 'f',
+          })}
+        >
+          Female
+        </Link>
       </p>
 
       <div className="panel-block">
@@ -16,6 +94,8 @@ export const PeopleFilters = () => {
             type="search"
             className="input"
             placeholder="Search"
+            value={query}
+            onChange={handleChangeQuery}
           />
 
           <span className="icon is-left">
@@ -27,66 +107,42 @@ export const PeopleFilters = () => {
       <div className="panel-block">
         <div className="level is-flex-grow-1 is-mobile" data-cy="CenturyFilter">
           <div className="level-left">
-            <a
-              data-cy="century"
-              className="button mr-1"
-              href="#/people?centuries=16"
-            >
-              16
-            </a>
-
-            <a
-              data-cy="century"
-              className="button mr-1 is-info"
-              href="#/people?centuries=17"
-            >
-              17
-            </a>
-
-            <a
-              data-cy="century"
-              className="button mr-1 is-info"
-              href="#/people?centuries=18"
-            >
-              18
-            </a>
-
-            <a
-              data-cy="century"
-              className="button mr-1 is-info"
-              href="#/people?centuries=19"
-            >
-              19
-            </a>
-
-            <a
-              data-cy="century"
-              className="button mr-1"
-              href="#/people?centuries=20"
-            >
-              20
-            </a>
+            {filterCenturies.map(century => (
+              <Link
+                to={{
+                  search: getParams(FilterParams.CENTURIES, String(century)),
+                }}
+                data-cy="century"
+                className={classNames('button mr-1', {
+                  'is-info': centuries.includes(String(century)),
+                })}
+              >
+                {century}
+              </Link>
+            ))}
           </div>
 
           <div className="level-right ml-4">
-            <a
+            <Link
+              to={{ search: getParams(FilterParams.CENTURIES) }}
               data-cy="centuryALL"
-              className="button is-success is-outlined"
-              href="#/people"
+              className={classNames('button is-success', {
+                'is-outlined': !!centuries.length,
+              })}
             >
               All
-            </a>
+            </Link>
           </div>
         </div>
       </div>
 
       <div className="panel-block">
-        <a
+        <Link
+          to={{ search: getResetParams() }}
           className="button is-link is-outlined is-fullwidth"
-          href="#/people"
         >
           Reset all filters
-        </a>
+        </Link>
       </div>
     </nav>
   );