#include <bits/stdc++.h> using namespace std; using LL = long long; #define e1 first #define e2 second #define pb push_back #define OUT(x) {cout << x << "\n"; exit(0); } #define TCOUT(x) {cout << x << "\n"; return; } #define FOR(i, l, r) for(int i = (l); i <= (r); ++i) #define rep(i, l, r) for(int i = (l); i < (r); ++i) #define boost {ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0); } #define sz(x) int(x.size()) #define trav(a, x) for(auto& a : x) #define all(x) begin(x), end(x) typedef long long ll; typedef pair <int, int> pii; typedef pair <ll, ll> pll; typedef vector<int> vi; typedef vector<ll> vll; /*#include <atcoder/modint> using namespace atcoder; using mint = modint998244353; vector <mint> fac, inv; mint binom(int n, int k) { if (n < k || n < 0) return 0; return fac[n] * inv[k] * inv[n-k]; } void prep(int N) { fac.resize(N+1, 1); inv.resize(N+1, 1); for (int i=1; i<=N; ++i) fac[i] = fac[i-1] * i; inv[N] = fac[N].inv(); for (int i=N-1; i>0; --i) inv[i] = inv[i+1] * (i + 1); }*/ mt19937_64 rng(time(0)); int random(int l, int r) { return uniform_int_distribution<int>(l, r)(rng); } #ifdef DEBUG template<class T> int size(T &&x) { return int(x.size()); } template<class A, class B> ostream& operator<<(ostream &out, const pair<A, B> &p) { return out << '(' << p.first << ", " << p.second << ')'; } template<class T> auto operator<<(ostream &out, T &&x) -> decltype(x.begin(), out) { out << '{'; for(auto it = x.begin(); it != x.end(); ++it) out << *it << (it == prev(x.end()) ? "" : ", "); return out << '}'; } void dump() {} template<class T, class... Args> void dump(T &&x, Args... args) { cerr << x << "; "; dump(args...); } #endif #ifdef DEBUG struct Nl{~Nl(){cerr << '\n';}}; # define debug(x...) cerr << (strcmp(#x, "") ? #x ": " : ""), dump(x), Nl(), cerr << "" #else # define debug(...) 0 && cerr #endif const int maxn = 1000100; //Did you REAALLY consider sample tests? ll brut(string &s) { int n = sz(s); ll ret = 0; auto ok = [&](vi v) { vi tmp; trav(elem, v) { if (elem) tmp.pb(elem); } sort(all(tmp)); return tmp[0] == tmp.back(); }; rep(i, 0, n) { vi ile(3, 0); rep(j, i, n) { ile[s[j]-'a']++; ret += ok(ile); } } return ret; } int sgn(int x) {return x > 0 ? 1 : -1; } ll wzo(string &s) { int n = sz(s); vi tmp(n + 1, -1); rep(i, 0, n) tmp[i + 1] = s[i] - 'a'; vi ost(3, 0); vi ile(3, 0); map<pii, int> M_triple; vector <map<int, int> > map_without(3); vector <vector<pair<pii, int> > > queries_all(n + 1); vector <vector<pair<int, int> > > queries_without(n + 1); ll res = 0; auto get_without = [&](vi ile, int without_which) -> int { int pytaj; if (without_which == 0) pytaj = {ile[2] - ile[1]}; if (without_which == 1) pytaj = {ile[2] - ile[0]}; if (without_which == 2) pytaj = {ile[1] - ile[0]}; return pytaj; }; auto get_triple = [&](vi ile) -> pii { return make_pair(ile[1] - ile[0], ile[2] - ile[0]); }; FOR(i, 1, n) { ile[tmp[i]]++; ost[tmp[i]] = i; vector <pii> help(3); rep(typ, 0, 3) help[typ] = {ost[typ], typ}; sort(all(help)); assert(help[2].first == i); assert(help[2].second == tmp[i]); int only_last = help[2].first - help[1].first; res += only_last; auto query_two = [&](int a, int b, int without_which) { if (a > b) return; int pytaj = get_without(ile, without_which); queries_without[b - 1].push_back({pytaj, 1 + without_which}); if (a > 1) queries_without[a - 2].push_back({pytaj, - (1 + without_which)}); }; auto query_all = [&](int a, int b) { if (a > b) return; pii pytaj = get_triple(ile); queries_all[b - 1].push_back({pytaj, 1}); if (a > 1) queries_all[a - 2].push_back({pytaj, -1}); }; query_two(help[0].first + 1, help[1].first, help[0].second); query_all(1, help[0].first); } rep(i, 0, 3) ile[i] = 0; FOR(i, 0, n) { if (i > 0) ile[tmp[i]]++; // update relevant maps M_triple[get_triple(ile)]++; rep(j, 0, 3) { int que = get_without(ile, j); map_without[j][que]++; } // query relevant maps for (auto [pytaj, typ] : queries_all[i]) { res += typ * M_triple[pytaj]; } for (auto [pytaj, without_which] : queries_without[i]) { res += sgn(without_which) * map_without[abs(without_which) - 1][pytaj]; } } return res; } bool TEST = 0; int main() { boost; string s; if (!TEST) { cin >> s; cout << wzo(s) << "\n"; } else { int testcount; cin >> testcount; FOR(_z, 1, testcount) { if (_z % 100 == 0) cout << "OK: " << _z << "\n"; int n = random(20, 40); s = ""; rep(i, 0, n) s += (char)('a' + random(0, 2)); auto model = wzo(s); auto slow = brut(s); if (model != slow) { debug(s); debug(model); debug(slow); OUT("WA"); } } } }
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 | #include <bits/stdc++.h> using namespace std; using LL = long long; #define e1 first #define e2 second #define pb push_back #define OUT(x) {cout << x << "\n"; exit(0); } #define TCOUT(x) {cout << x << "\n"; return; } #define FOR(i, l, r) for(int i = (l); i <= (r); ++i) #define rep(i, l, r) for(int i = (l); i < (r); ++i) #define boost {ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0); } #define sz(x) int(x.size()) #define trav(a, x) for(auto& a : x) #define all(x) begin(x), end(x) typedef long long ll; typedef pair <int, int> pii; typedef pair <ll, ll> pll; typedef vector<int> vi; typedef vector<ll> vll; /*#include <atcoder/modint> using namespace atcoder; using mint = modint998244353; vector <mint> fac, inv; mint binom(int n, int k) { if (n < k || n < 0) return 0; return fac[n] * inv[k] * inv[n-k]; } void prep(int N) { fac.resize(N+1, 1); inv.resize(N+1, 1); for (int i=1; i<=N; ++i) fac[i] = fac[i-1] * i; inv[N] = fac[N].inv(); for (int i=N-1; i>0; --i) inv[i] = inv[i+1] * (i + 1); }*/ mt19937_64 rng(time(0)); int random(int l, int r) { return uniform_int_distribution<int>(l, r)(rng); } #ifdef DEBUG template<class T> int size(T &&x) { return int(x.size()); } template<class A, class B> ostream& operator<<(ostream &out, const pair<A, B> &p) { return out << '(' << p.first << ", " << p.second << ')'; } template<class T> auto operator<<(ostream &out, T &&x) -> decltype(x.begin(), out) { out << '{'; for(auto it = x.begin(); it != x.end(); ++it) out << *it << (it == prev(x.end()) ? "" : ", "); return out << '}'; } void dump() {} template<class T, class... Args> void dump(T &&x, Args... args) { cerr << x << "; "; dump(args...); } #endif #ifdef DEBUG struct Nl{~Nl(){cerr << '\n';}}; # define debug(x...) cerr << (strcmp(#x, "") ? #x ": " : ""), dump(x), Nl(), cerr << "" #else # define debug(...) 0 && cerr #endif const int maxn = 1000100; //Did you REAALLY consider sample tests? ll brut(string &s) { int n = sz(s); ll ret = 0; auto ok = [&](vi v) { vi tmp; trav(elem, v) { if (elem) tmp.pb(elem); } sort(all(tmp)); return tmp[0] == tmp.back(); }; rep(i, 0, n) { vi ile(3, 0); rep(j, i, n) { ile[s[j]-'a']++; ret += ok(ile); } } return ret; } int sgn(int x) {return x > 0 ? 1 : -1; } ll wzo(string &s) { int n = sz(s); vi tmp(n + 1, -1); rep(i, 0, n) tmp[i + 1] = s[i] - 'a'; vi ost(3, 0); vi ile(3, 0); map<pii, int> M_triple; vector <map<int, int> > map_without(3); vector <vector<pair<pii, int> > > queries_all(n + 1); vector <vector<pair<int, int> > > queries_without(n + 1); ll res = 0; auto get_without = [&](vi ile, int without_which) -> int { int pytaj; if (without_which == 0) pytaj = {ile[2] - ile[1]}; if (without_which == 1) pytaj = {ile[2] - ile[0]}; if (without_which == 2) pytaj = {ile[1] - ile[0]}; return pytaj; }; auto get_triple = [&](vi ile) -> pii { return make_pair(ile[1] - ile[0], ile[2] - ile[0]); }; FOR(i, 1, n) { ile[tmp[i]]++; ost[tmp[i]] = i; vector <pii> help(3); rep(typ, 0, 3) help[typ] = {ost[typ], typ}; sort(all(help)); assert(help[2].first == i); assert(help[2].second == tmp[i]); int only_last = help[2].first - help[1].first; res += only_last; auto query_two = [&](int a, int b, int without_which) { if (a > b) return; int pytaj = get_without(ile, without_which); queries_without[b - 1].push_back({pytaj, 1 + without_which}); if (a > 1) queries_without[a - 2].push_back({pytaj, - (1 + without_which)}); }; auto query_all = [&](int a, int b) { if (a > b) return; pii pytaj = get_triple(ile); queries_all[b - 1].push_back({pytaj, 1}); if (a > 1) queries_all[a - 2].push_back({pytaj, -1}); }; query_two(help[0].first + 1, help[1].first, help[0].second); query_all(1, help[0].first); } rep(i, 0, 3) ile[i] = 0; FOR(i, 0, n) { if (i > 0) ile[tmp[i]]++; // update relevant maps M_triple[get_triple(ile)]++; rep(j, 0, 3) { int que = get_without(ile, j); map_without[j][que]++; } // query relevant maps for (auto [pytaj, typ] : queries_all[i]) { res += typ * M_triple[pytaj]; } for (auto [pytaj, without_which] : queries_without[i]) { res += sgn(without_which) * map_without[abs(without_which) - 1][pytaj]; } } return res; } bool TEST = 0; int main() { boost; string s; if (!TEST) { cin >> s; cout << wzo(s) << "\n"; } else { int testcount; cin >> testcount; FOR(_z, 1, testcount) { if (_z % 100 == 0) cout << "OK: " << _z << "\n"; int n = random(20, 40); s = ""; rep(i, 0, n) s += (char)('a' + random(0, 2)); auto model = wzo(s); auto slow = brut(s); if (model != slow) { debug(s); debug(model); debug(slow); OUT("WA"); } } } } |