diff --git a/.gdb_history b/.gdb_history index 4b3ede3..f4b9be4 100644 --- a/.gdb_history +++ b/.gdb_history @@ -1,37 +1,3 @@ -p b -next -run -next -p pref[i - a] -next -next -p vaar -p var -p pref[i] -p pref[i] - *var.begin() -next -break 94 -run -next -p i - b + 1 -p i - b + 1 -p i -break 94 -run -run -next -p i - b + 1 -p a -p b -p i - b + 1 -p i -p i - b - 1 -break 94 -run -next -next -p ans -p var p pref[i - a] break 94 run @@ -254,3 +220,37 @@ p e.cap - e.flow continue p v p f +ru +run +break 168 +run +next +p now +next +p lower->first +p upper->second +p lower->second +p now.a +p now.b +p i.i +p now.i +next +p p var +p var +p ans +p l +p r +p bit +run +next +p var +p bit +next +p bit +next +p bit +next +p bit +next +break 156 +run diff --git a/.gitignore b/.gitignore index 98e855c..cd791a9 100644 --- a/.gitignore +++ b/.gitignore @@ -34,3 +34,6 @@ # Ignore testcases files from competitest *.testcases + +# Ignore gdb +.gdb_history diff --git a/CSES Problem Set/Pizzeria Queries.cpp b/CSES Problem Set/Pizzeria Queries.cpp new file mode 100644 index 0000000..da763b6 --- /dev/null +++ b/CSES Problem Set/Pizzeria Queries.cpp @@ -0,0 +1,166 @@ +/* Problem URL: https://cses.fi/problemset/task/2206 */ + +#include +#include +#include + +using namespace std; +using namespace __gnu_pbds; + +template > +using ordered_set = tree; + +#define V vector + +#define rmin(a, b) a = min(a, b) +#define rmax(a, b) a = max(a, b) + +#define rep(i, lim) for (int i = 0; i < (lim); i++) +#define nrep(i, s, lim) for (int i = s; i < (lim); i++) + +#define repv(i, v) for (auto &i : (v)) +#define fillv(v) for (auto &itr_ : (v)) { cin >> itr_; } +#define sortv(v) sort(v.begin(), v.end()) +#define all(v) (v).begin(), (v).end() + +using vi = vector; +using vvi = vector; +using vvvi = vector; +using vvvvi = vector; + +using ll = long long; + +using vl = vector; +using vvl = vector; +using vvvl = vector; +using vvvvl = vector; + +template +auto operator<<(ostream &os, const vector &vec)->ostream& { + os << vec[0]; + for (size_t i = 1; i < vec.size(); i++) { + os << ' ' << vec[i]; + } + os << '\n'; + return os; +} + +template +auto operator>>(istream &is, vector &vec)->istream& { + for (auto &i : vec) { + is >> i; + } + return is; +} + +template +auto operator<<(ostream &os, const vector> &vec)->ostream& { + for (auto &i : vec) { + os << i[0]; + for (size_t j = 1; j < i.size(); j++) { + os << ' ' << i[j]; + } + os << '\n'; + } + return os; +} + +template +auto operator>>(istream &is, vector> &vec)->istream& { + for (auto &i : vec) { + for (auto &j : i) { + is >> j; + } + } + return is; +} + +int main() +{ + ios::sync_with_stdio(false); + cin.tie(nullptr); + + int n, q; + cin >> n >> q; + + vl fds(n); + cin >> fds; + + ll oo = INT64_MAX >> 1; + + while (__builtin_popcount(n) != 1) { + n++; + fds.push_back(oo); + } + + vl segpref(n * 2); + vl segsuf(n * 2); + + rep(i, n) { + segpref[i + n] = fds[i] + i; + segsuf[i + n] = fds[i] + (n - i - 1); + } + + for (int i = n - 1; i > 0; i--) { + segpref[i] = min(segpref[i * 2], segpref[i * 2 + 1]); + segsuf[i] = min(segsuf[i * 2], segsuf[i * 2 + 1]); + } + + auto update = [&](int i, ll v) { + i += n; + segpref[i] = v + (i - n); + segsuf[i] = v + (2 * n - i - 1); + + for (i >>= 1; i > 0; i >>= 1) { + segpref[i] = min(segpref[i * 2], segpref[i * 2 + 1]); + segsuf[i] = min(segsuf[i * 2], segsuf[i * 2 + 1]); + } + }; + + function querypref = [&](int i, int l, int r, int tl, int tr) { + if (l > tr || r < tl) { + return oo; + } + + if (l >= tl && r <= tr) { + return segpref[i]; + } + + int mid = (l + r) >> 1; + + return min(querypref(i * 2, l, mid, tl, tr), querypref(i * 2 + 1, mid + 1, r, tl, tr)); + }; + + function querysuf = [&](int i, int l, int r, int tl, int tr) { + if (l > tr || r < tl) { + return oo; + } + + if (l >= tl && r <= tr) { + return segsuf[i]; + } + + int mid = (l + r) >> 1; + + return min(querysuf(i * 2, l, mid, tl, tr), querysuf(i * 2 + 1, mid + 1, r, tl, tr)); + }; + + while (q--) { + int op; + cin >> op; + + if (op == 1) { + int k, x; + cin >> k >> x; + + update(k - 1, x); + continue; + } + + int k; + cin >> k; + k--; + + cout << min({querypref(1, 0, n - 1, k, n - 1) - k, querysuf(1, 0, n - 1, 0, k) - (n - k - 1)}) << '\n'; + } +} diff --git a/CSES Problem Set/Polynomial Queries.cpp b/CSES Problem Set/Polynomial Queries.cpp new file mode 100644 index 0000000..0a137de --- /dev/null +++ b/CSES Problem Set/Polynomial Queries.cpp @@ -0,0 +1,181 @@ +/* Problem URL: https://cses.fi/problemset/task/1736 */ + +#include +#include +#include + +using namespace std; +using namespace __gnu_pbds; + +template > +using ordered_set = tree; + +#define V vector + +#define rmin(a, b) a = min(a, b) +#define rmax(a, b) a = max(a, b) + +#define rep(i, lim) for (int i = 0; i < (lim); i++) +#define nrep(i, s, lim) for (int i = s; i < (lim); i++) + +#define repv(i, v) for (auto &i : (v)) +#define fillv(v) for (auto &itr_ : (v)) { cin >> itr_; } +#define sortv(v) sort(v.begin(), v.end()) +#define all(v) (v).begin(), (v).end() + +using vi = vector; +using vvi = vector; +using vvvi = vector; +using vvvvi = vector; + +using ll = long long; + +using vl = vector; +using vvl = vector; +using vvvl = vector; +using vvvvl = vector; + +template +auto operator<<(ostream &os, const vector &vec)->ostream& { + os << vec[0]; + for (size_t i = 1; i < vec.size(); i++) { + os << ' ' << vec[i]; + } + os << '\n'; + return os; +} + +template +auto operator>>(istream &is, vector &vec)->istream& { + for (auto &i : vec) { + is >> i; + } + return is; +} + +template +auto operator<<(ostream &os, const vector> &vec)->ostream& { + for (auto &i : vec) { + os << i[0]; + for (size_t j = 1; j < i.size(); j++) { + os << ' ' << i[j]; + } + os << '\n'; + } + return os; +} + +template +auto operator>>(istream &is, vector> &vec)->istream& { + for (auto &i : vec) { + for (auto &j : i) { + is >> j; + } + } + return is; +} + +int main() +{ + ios::sync_with_stdio(false); + cin.tie(nullptr); + + int n, q; + cin >> n >> q; + + vl fds(n); + cin >> fds; + + while (__builtin_popcount(n) != 1) { + n++; + fds.push_back(0); + } + + vl seg(n * 2); + vl lazy(n * 2); + vl c(n * 2); + V upd(n * 2); + + nrep(i, n, n * 2) { + seg[i] = fds[i - n]; + } + + for (int i = n - 1; i > 0; i--) { + seg[i] = seg[i * 2] + seg[i * 2 + 1]; + } + + auto propagate = [&](int i, int l, int r) { + if (!upd[i]) { + return; + } + + upd[i] = false; + + ll size = (r - l + 1); + + seg[i] += (size * (r + l) / 2) * c[i] + c[i] * size - lazy[i] * size; + + if (i < n) { + lazy[i * 2] += lazy[i]; + lazy[i * 2 + 1] += lazy[i]; + c[i * 2] += c[i]; + c[i * 2 + 1] += c[i]; + upd[i * 2] = true; + upd[i * 2 + 1] = true; + } + + c[i] = 0; + lazy[i] = 0; + }; + + function update = [&](int i, int l, int r, int tl, int tr, ll v) { + propagate(i, l, r); + + if (l > tr || r < tl) { + return; + } + + if (l >= tl && r <= tr) { + lazy[i] += v; + upd[i] = true; + c[i]++; + propagate(i, l, r); + return; + } + + int mid = (l + r) >> 1; + + update(i * 2, l, mid, tl, tr, v); + update(i * 2 + 1, mid + 1, r, tl, tr, v); + + seg[i] = seg[i * 2] + seg[i * 2 + 1]; + }; + + function query = [&](int i, int l, int r, int tl, int tr) { + propagate(i, l, r); + + if (l > tr || r < tl) { + return 0LL; + } + + if (l >= tl && r <= tr) { + return seg[i]; + } + + int mid = (l + r) >> 1; + + return query(i * 2, l, mid, tl, tr) + query(i * 2 + 1, mid + 1, r, tl, tr); + }; + + while (q--) { + int op, l, r; + cin >> op >> l >> r; + + if (op == 1) { + update(1, 1, n, l, r, l); + continue; + } + + cout << query(1, 1, n, l, r) << '\n'; + } +} diff --git a/CSES Problem Set/Prefix Sum Queries.cpp b/CSES Problem Set/Prefix Sum Queries.cpp new file mode 100644 index 0000000..574d40e --- /dev/null +++ b/CSES Problem Set/Prefix Sum Queries.cpp @@ -0,0 +1,211 @@ +/* Problem URL: https://cses.fi/problemset/task/2166 */ + +#include +#include +#include + +using namespace std; +using namespace __gnu_pbds; + +template > +using ordered_set = tree; + +#define V vector + +#define rmin(a, b) a = min(a, b) +#define rmax(a, b) a = max(a, b) + +#define rep(i, lim) for (int i = 0; i < (lim); i++) +#define nrep(i, s, lim) for (int i = s; i < (lim); i++) + +#define repv(i, v) for (auto &i : (v)) +#define fillv(v) for (auto &itr_ : (v)) { cin >> itr_; } +#define sortv(v) sort(v.begin(), v.end()) +#define all(v) (v).begin(), (v).end() + +using vi = vector; +using vvi = vector; +using vvvi = vector; +using vvvvi = vector; + +using ll = long long; + +using vl = vector; +using vvl = vector; +using vvvl = vector; +using vvvvl = vector; + +template +auto operator<<(ostream &os, const vector &vec)->ostream& { + os << vec[0]; + for (size_t i = 1; i < vec.size(); i++) { + os << ' ' << vec[i]; + } + os << '\n'; + return os; +} + +template +auto operator>>(istream &is, vector &vec)->istream& { + for (auto &i : vec) { + is >> i; + } + return is; +} + +template +auto operator<<(ostream &os, const vector> &vec)->ostream& { + for (auto &i : vec) { + os << i[0]; + for (size_t j = 1; j < i.size(); j++) { + os << ' ' << i[j]; + } + os << '\n'; + } + return os; +} + +template +auto operator>>(istream &is, vector> &vec)->istream& { + for (auto &i : vec) { + for (auto &j : i) { + is >> j; + } + } + return is; +} + +int main() +{ + ios::sync_with_stdio(false); + cin.tie(nullptr); + + int n, q; + cin >> n >> q; + + vl fds(n); + + cin >> fds; + + ll oo = INT64_MAX >> 1; + + while (__builtin_popcount(n) != 1) { + n++; + fds.push_back(0); + } + + vl seg(n * 2); + vl pref(n * 2); + vl lazy(n * 2); + + auto propagate = [&](int i, int l, int r) { + if (lazy[i] == 0) { + return; + } + + if (i >= n) { + seg[i] += lazy[i]; + lazy[i] = 0; + return; + } + + seg[i] += lazy[i]; + lazy[i * 2] += lazy[i]; + lazy[i * 2 + 1] += lazy[i]; + lazy[i] = 0; + }; + + function update = [&](int i, int l, int r, int tl, int tr, ll v) { + propagate(i, l, r); + + if (l > tr || r < tl) { + return; + } + + if (l >= tl && r <= tr) { + lazy[i] += v; + propagate(i, l, r); + return; + } + + int mid = (l + r) >> 1; + + update(i * 2, l, mid, tl, tr, v); + update(i * 2 + 1, mid + 1, r, tl, tr, v); + + seg[i] = max(seg[i * 2], seg[i * 2 + 1]); + }; + + function updatepref = [&](int i, ll v) { + i += n; + pref[i] = v; + + for (i >>= 1; i > 0; i >>= 1) { + pref[i] = pref[i * 2] + pref[i * 2 + 1]; + } + }; + + function query = [&](int i, int l, int r, int tl, int tr) { + if (l > tr || r < tl) { + return -oo; + } + + propagate(i, l, r); + + if (l >= tl && r <= tr) { + return seg[i]; + } + + int mid = (l + r) >> 1; + + return max(query(i * 2, l, mid, tl, tr), query(i * 2 + 1, mid + 1, r, tl, tr)); + }; + + function prefquery = [&](int i, int l, int r, int tl, int tr) { + if (l > tr || r < tl) { + return 0LL; + } + + propagate(i, l, r); + + if (l >= tl && r <= tr) { + return pref[i]; + } + + int mid = (l + r) >> 1; + + return prefquery(i * 2, l, mid, tl, tr) + prefquery(i * 2 + 1, mid + 1, r, tl, tr); + }; + + rep(i, n) { + update(1, 0, n - 1, i, n - 1, fds[i]); + pref[i + n] = fds[i]; + } + + for (int i = n - 1; i > 0; i--) { + pref[i] = pref[i * 2] + pref[i * 2 + 1]; + } + + while (q--) { + int op; + cin >> op; + + if (op == 1) { + int k, u; + cin >> k >> u; + k--; + + update(1, 0, n - 1, k, n - 1, u); + update(1, 0, n - 1, k, n - 1, -fds[k]); + updatepref(k, u); + fds[k] = u; + continue; + } + + int a, b; + cin >> a >> b; + a--, b--; + + cout << max(query(1, 0, n - 1, a, b) - prefquery(1, 0, n - 1, 0, a - 1), 0LL) << '\n'; + } +} diff --git a/CSES Problem Set/Range Interval Queries.cpp b/CSES Problem Set/Range Interval Queries.cpp new file mode 100644 index 0000000..bf1c67b --- /dev/null +++ b/CSES Problem Set/Range Interval Queries.cpp @@ -0,0 +1,121 @@ +/* Problem URL: https://cses.fi/problemset/task/3163 */ + +#include + +using namespace std; + +#define V vector + +#define rmin(a, b) a = min(a, b) +#define rmax(a, b) a = max(a, b) + +#define rep(i, lim) for (int i = 0; i < (lim); i++) +#define nrep(i, s, lim) for (int i = s; i < (lim); i++) + +#define repv(i, v) for (auto &i : (v)) +#define fillv(v) for (auto &itr_ : (v)) { cin >> itr_; } +#define sortv(v) sort(v.begin(), v.end()) +#define all(v) (v).begin(), (v).end() + +using vi = vector; +using vvi = vector; +using vvvi = vector; +using vvvvi = vector; + +using ll = long long; + +using vl = vector; +using vvl = vector; +using vvvl = vector; +using vvvvl = vector; + +template +auto operator<<(ostream &os, const vector &vec)->ostream& { + os << vec[0]; + for (size_t i = 1; i < vec.size(); i++) { + os << ' ' << vec[i]; + } + os << '\n'; + return os; +} + +template +auto operator>>(istream &is, vector &vec)->istream& { + for (auto &i : vec) { + is >> i; + } + return is; +} + +template +auto operator<<(ostream &os, const vector> &vec)->ostream& { + for (auto &i : vec) { + os << i[0]; + for (size_t j = 1; j < i.size(); j++) { + os << ' ' << i[j]; + } + os << '\n'; + } + return os; +} + +template +auto operator>>(istream &is, vector> &vec)->istream& { + for (auto &i : vec) { + for (auto &j : i) { + is >> j; + } + } + return is; +} + +int main() +{ + ios::sync_with_stdio(false); + cin.tie(nullptr); + + int n, q; + cin >> n >> q; + + vi fds(n); + map var; + repv(i, fds) { + cin >> i; + var[i] = 0; + } + + int v = 0; + repv(i, var) { + i.second = v; + v++; + } + + vi bit1(var.size() + 1); + vi bit2(var.size() + 1); + + auto add = [&](vi &bit, int i, int v) { + for (; i <= var.size(); i += i&(-i)) { + bit[i] += v; + } + }; + + auto get = [&](vi &bit, int i) { + int ans = 0; + for (; i > 0; i -= i&(-i)) { + ans += bit[i]; + } + + return ans; + }; + + rep(i, n) { + + } + + while (q--) { + int l, r, a, b; + cin >> l >> r >> a >> b; + + + } +} diff --git a/CSES Problem Set/Range Updates and Sums.cpp b/CSES Problem Set/Range Updates and Sums.cpp new file mode 100644 index 0000000..a93fe39 --- /dev/null +++ b/CSES Problem Set/Range Updates and Sums.cpp @@ -0,0 +1,244 @@ +/* Problem URL: https://cses.fi/problemset/task/1735 */ + +#include +#include +#include + +using namespace std; +using namespace __gnu_pbds; + +template > +using ordered_set = tree; + +#define V vector + +#define rmin(a, b) a = min(a, b) +#define rmax(a, b) a = max(a, b) + +#define rep(i, lim) for (int i = 0; i < (lim); i++) +#define nrep(i, s, lim) for (int i = s; i < (lim); i++) + +#define repv(i, v) for (auto &i : (v)) +#define fillv(v) for (auto &itr_ : (v)) { cin >> itr_; } +#define sortv(v) sort(v.begin(), v.end()) +#define all(v) (v).begin(), (v).end() + +using vi = vector; +using vvi = vector; +using vvvi = vector; +using vvvvi = vector; + +using ll = long long; + +using vl = vector; +using vvl = vector; +using vvvl = vector; +using vvvvl = vector; + +template +auto operator<<(ostream &os, const vector &vec)->ostream& { + os << vec[0]; + for (size_t i = 1; i < vec.size(); i++) { + os << ' ' << vec[i]; + } + os << '\n'; + return os; +} + +template +auto operator>>(istream &is, vector &vec)->istream& { + for (auto &i : vec) { + is >> i; + } + return is; +} + +template +auto operator<<(ostream &os, const vector> &vec)->ostream& { + for (auto &i : vec) { + os << i[0]; + for (size_t j = 1; j < i.size(); j++) { + os << ' ' << i[j]; + } + os << '\n'; + } + return os; +} + +template +auto operator>>(istream &is, vector> &vec)->istream& { + for (auto &i : vec) { + for (auto &j : i) { + is >> j; + } + } + return is; +} + +int main() +{ + ios::sync_with_stdio(false); + cin.tie(nullptr); + + int n, m; + cin >> n >> m; + + vl fds(n); + cin >> fds; + + while (__builtin_popcount(n) != 1) { + n++; + fds.push_back(0); + } + + vl seg(n * 2); + vl lazyadd(n * 2); + vl lazyset(n * 2); + V updadd(n * 2); + V updset(n * 2); + + nrep(i, n, n * 2) { + seg[i] = fds[i - n]; + } + + for (int i = n - 1; i > 0; i--) { + seg[i] = seg[i * 2] + seg[i * 2 + 1]; + } + + auto propagateset = [&](int i, int l, int r) { + if (!updset[i]) { + return; + } + + updset[i] = false; + + if (i >= n) { + seg[i] = lazyset[i]; + return; + } + + seg[i] = lazyset[i] * (r - l + 1); + lazyset[i * 2] = lazyset[i]; + lazyset[i * 2 + 1] = lazyset[i]; + updset[i * 2] = true; + updset[i * 2 + 1] = true; + + lazyadd[i * 2] = 0; + lazyadd[i * 2 + 1] = 0; + updadd[i * 2] = false; + updadd[i * 2 + 1] = false; + }; + + auto propagateadd = [&](int i, int l, int r) { + if (!updadd[i]) { + return; + } + + updadd[i] = false; + + if (i >= n) { + seg[i] += lazyadd[i]; + lazyadd[i] = 0; + return; + } + + seg[i] += lazyadd[i] * (r - l + 1); + lazyadd[i * 2] += lazyadd[i]; + lazyadd[i * 2 + 1] += lazyadd[i]; + updadd[i * 2] = true; + updadd[i * 2 + 1] = true; + lazyadd[i] = 0; + }; + + auto propagate = [&](int i, int l, int r) { + propagateset(i, l, r); + propagateadd(i, l, r); + }; + + function updateset = [&](int i, int l, int r, int tl, int tr, ll v) { + propagate(i, l, r); + + if (l > tr || r < tl) { + return; + } + + if (l >= tl && r <= tr) { + lazyset[i] = v; + updset[i] = true; + updadd[i] = false; + lazyadd[i] = 0; + propagate(i, l, r); + return; + } + + int mid = (l + r) >> 1; + + updateset(i * 2, l, mid, tl, tr, v); + updateset(i * 2 + 1, mid + 1, r, tl, tr, v); + + seg[i] = seg[i * 2] + seg[i * 2 + 1]; + }; + + function updateadd = [&](int i, int l, int r, int tl, int tr, ll v) { + propagate(i, l, r); + + if (l > tr || r < tl) { + return; + } + + if (l >= tl && r <= tr) { + lazyadd[i] += v; + updadd[i] = true; + propagate(i, l, r); + return; + } + + int mid = (l + r) >> 1; + + updateadd(i * 2, l, mid, tl, tr, v); + updateadd(i * 2 + 1, mid + 1, r, tl, tr, v); + + seg[i] = seg[i * 2] + seg[i * 2 + 1]; + }; + + function query = [&](int i, int l, int r, int tl, int tr) { + if (l > tr || r < tl) { + return 0LL; + } + + propagate(i, l, r); + + if (l >= tl && r <= tr) { + return seg[i]; + } + + int mid = (l + r) >> 1; + + return query(i * 2, l, mid, tl, tr) + query(i * 2 + 1, mid + 1, r, tl, tr); + }; + + while (m--) { + int op; + cin >> op; + + if (op == 1) { + int l, r; + ll v; + cin >> l >> r >> v; + updateadd(1, 0, n - 1, l - 1, r - 1, v); + continue; + } + + if (op == 2) { + int l, r; + ll v; + cin >> l >> r >> v; + updateset(1, 0, n - 1, l - 1, r - 1, v); + continue; + } + + int l, r; + cin >> l >> r; + cout << query(1, 0, n - 1, l - 1, r - 1) << '\n'; + } +} diff --git a/CSES Problem Set/SOS Bit Problem.cpp b/CSES Problem Set/SOS Bit Problem.cpp new file mode 100644 index 0000000..4894319 --- /dev/null +++ b/CSES Problem Set/SOS Bit Problem.cpp @@ -0,0 +1,112 @@ +/* Problem URL: https://cses.fi/problemset/task/1654 */ + +#include +#include +#include + +using namespace std; +using namespace __gnu_pbds; + +template > +using ordered_set = tree; + +#define V vector + +#define rmin(a, b) a = min(a, b) +#define rmax(a, b) a = max(a, b) + +#define rep(i, lim) for (int i = 0; i < (lim); i++) +#define nrep(i, s, lim) for (int i = s; i < (lim); i++) + +#define repv(i, v) for (auto &i : (v)) +#define fillv(v) for (auto &itr_ : (v)) { cin >> itr_; } +#define sortv(v) sort(v.begin(), v.end()) +#define all(v) (v).begin(), (v).end() + +using vi = vector; +using vvi = vector; +using vvvi = vector; +using vvvvi = vector; + +using ll = long long; + +using vl = vector; +using vvl = vector; +using vvvl = vector; +using vvvvl = vector; + +template +auto operator<<(ostream &os, const vector &vec)->ostream& { + os << vec[0]; + for (size_t i = 1; i < vec.size(); i++) { + os << ' ' << vec[i]; + } + os << '\n'; + return os; +} + +template +auto operator>>(istream &is, vector &vec)->istream& { + for (auto &i : vec) { + is >> i; + } + return is; +} + +template +auto operator<<(ostream &os, const vector> &vec)->ostream& { + for (auto &i : vec) { + os << i[0]; + for (size_t j = 1; j < i.size(); j++) { + os << ' ' << i[j]; + } + os << '\n'; + } + return os; +} + +template +auto operator>>(istream &is, vector> &vec)->istream& { + for (auto &i : vec) { + for (auto &j : i) { + is >> j; + } + } + return is; +} + +int main() +{ + ios::sync_with_stdio(false); + cin.tie(nullptr); + + int n; + cin >> n; + + vi fds(n); + cin >> fds; + + const int log = 20; + vl sos(1 << log); + vl inv(1 << log); + + const int all = (1 << log) - 1; + + repv(i, fds) { + sos[i]++; + inv[~i & all]++; + } + + rep(i, log) { + rep(j, 1 << log) { + if ((j >> i) & 1) { + sos[j] += sos[j ^ (1 << i)]; + inv[j] += inv[j ^ (1 << i)]; + } + } + } + + repv(i, fds) { + cout << sos[i] << ' ' << inv[~i & all] << ' ' << sos[all] - sos[~i & all] << '\n'; + } +} diff --git a/CSES Problem Set/Subarray Sum Queries.cpp b/CSES Problem Set/Subarray Sum Queries.cpp new file mode 100644 index 0000000..8b147ed --- /dev/null +++ b/CSES Problem Set/Subarray Sum Queries.cpp @@ -0,0 +1,124 @@ +/* Problem URL: https://cses.fi/problemset/task/1190 */ + +#include + +using namespace std; + +#define V vector + +#define rmin(a, b) a = min(a, b) +#define rmax(a, b) a = max(a, b) + +#define rep(i, lim) for (size_t i = 0; i < (lim); i++) +#define nrep(i, s, lim) for (size_t i = s; i < (lim); i++) + +#define repv(i, v) for (auto &i : (v)) +#define fillv(v) for (auto &itr_ : (v)) { cin >> itr_; } +#define sortv(v) sort(v.begin(), v.end()) +#define all(v) (v).begin(), (v).end() + +using vi = vector; +using vvi = vector; +using vvvi = vector; +using vvvvi = vector; + +using ll = long long; + +using vl = vector; +using vvl = vector; +using vvvl = vector; +using vvvvl = vector; + +template +auto operator<<(ostream &os, const vector &vec)->ostream& { + os << vec[0]; + for (size_t i = 1; i < vec.size(); i++) { + os << ' ' << vec[i]; + } + os << '\n'; + return os; +} + +template +auto operator>>(istream &is, vector &vec)->istream& { + for (auto &i : vec) { + is >> i; + } + return is; +} + +template +auto operator<<(ostream &os, const vector> &vec)->ostream& { + for (auto &i : vec) { + os << i[0]; + for (size_t j = 1; j < i.size(); j++) { + os << ' ' << i[j]; + } + os << '\n'; + } + return os; +} + +template +auto operator>>(istream &is, vector> &vec)->istream& { + for (auto &i : vec) { + for (auto &j : i) { + is >> j; + } + } + return is; +} + +struct node { + ll ans; + ll sum; + ll pref; + ll suf; + + node(ll ans, ll sum, ll pref, ll suf): ans(ans), sum(sum), pref(pref), suf(suf) {} + node() = default; +}; + +V segtree; + +int main() +{ + ios::sync_with_stdio(false); + cin.tie(nullptr); + + int n, m; + cin >> n >> m; + vl ar(n); + cin >> ar; + + while (__builtin_popcount(n) != 1) { + ar.push_back(-1); + n++; + } + + segtree.resize(n * 2); + + for (size_t i = n; i < n * 2; i++) { + segtree[i] = node(max(ar[i - n], 0LL), ar[i - n], max(ar[i - n], 0LL), max(ar[i - n], 0LL)); + } + + for (size_t i = n - 1; i > 0; i--) { + segtree[i].ans = max(segtree[i * 2].suf + segtree[i * 2 + 1].pref, max(segtree[i * 2].ans, segtree[i * 2 + 1].ans)); + segtree[i].sum = segtree[i * 2].sum + segtree[i * 2 + 1].sum; + segtree[i].pref = max(segtree[i * 2].pref, segtree[i * 2].sum + segtree[i * 2 + 1].pref); + segtree[i].suf = max(segtree[i * 2 + 1].suf, segtree[i * 2 + 1].sum + segtree[i * 2].suf); + } + + while (m--) { + ll i, v; + cin >> i >> v; + segtree[n + i - 1] = node(max(v, 0LL), v, max(v, 0LL), max(v, 0LL)); + for (size_t j = (n + i - 1) / 2; j > 0; j /= 2) { + segtree[j].ans = max(segtree[j * 2].suf + segtree[j * 2 + 1].pref, max(segtree[j * 2].ans, segtree[j * 2 + 1].ans)); + segtree[j].sum = segtree[j * 2].sum + segtree[j * 2 + 1].sum; + segtree[j].pref = max(segtree[j * 2].pref, segtree[j * 2].sum + segtree[j * 2 + 1].pref); + segtree[j].suf = max(segtree[j * 2 + 1].suf, segtree[j * 2 + 1].sum + segtree[j * 2].suf); + } + cout << segtree[1].ans << '\n'; + } +} diff --git a/CSES Problem Set/Visible Buildings Queries.cpp b/CSES Problem Set/Visible Buildings Queries.cpp new file mode 100644 index 0000000..b5633ca --- /dev/null +++ b/CSES Problem Set/Visible Buildings Queries.cpp @@ -0,0 +1,178 @@ +/* Problem URL: https://cses.fi/problemset/task/3304 */ + +#include +#include +#include + +using namespace std; +using namespace __gnu_pbds; + +template > +using ordered_set = tree; + +#define V vector + +#define rmin(a, b) a = min(a, b) +#define rmax(a, b) a = max(a, b) + +#define rep(i, lim) for (int i = 0; i < (lim); i++) +#define nrep(i, s, lim) for (int i = s; i < (lim); i++) + +#define repv(i, v) for (auto &i : (v)) +#define fillv(v) for (auto &itr_ : (v)) { cin >> itr_; } +#define sortv(v) sort(v.begin(), v.end()) +#define all(v) (v).begin(), (v).end() + +using vi = vector; +using vvi = vector; +using vvvi = vector; +using vvvvi = vector; + +using ll = long long; + +using vl = vector; +using vvl = vector; +using vvvl = vector; +using vvvvl = vector; + +template +auto operator<<(ostream &os, const vector &vec)->ostream& { + os << vec[0]; + for (size_t i = 1; i < vec.size(); i++) { + os << ' ' << vec[i]; + } + os << '\n'; + return os; +} + +template +auto operator>>(istream &is, vector &vec)->istream& { + for (auto &i : vec) { + is >> i; + } + return is; +} + +template +auto operator<<(ostream &os, const vector> &vec)->ostream& { + for (auto &i : vec) { + os << i[0]; + for (size_t j = 1; j < i.size(); j++) { + os << ' ' << i[j]; + } + os << '\n'; + } + return os; +} + +template +auto operator>>(istream &is, vector> &vec)->istream& { + for (auto &i : vec) { + for (auto &j : i) { + is >> j; + } + } + return is; +} + +int main() +{ + ios::sync_with_stdio(false); + cin.tie(nullptr); + + int n, q; + cin >> n >> q; + + vl fds(n); + cin >> fds; + + vvi sparse(20, vi(n)); + + rep(i, n) { + sparse[0][i] = fds[i]; + } + + nrep(j, 1, 20) { + for (int i = 0; i + (1 << (j - 1)) < n; i++) { + sparse[j][i] = max(sparse[j - 1][i], sparse[j - 1][i + (1 << (j - 1))]); + } + } + + auto squery = [&](int i, int j) { + int log = 31 - __builtin_clz(j - i + 1); + + return max(sparse[log][i], sparse[log][j - (1 << log) + 1]); + }; + + vi ans(n); + + rep(i, n) { + int low = 0; + int high = i - 1; + int act = i; + + while (low <= high) { + int mid = (low + high) >> 1; + + if (squery(mid, i - 1) < fds[i]) { + act = mid; + high = mid - 1; + continue; + } + + low = mid + 1; + } + + ans[i] = act; + } + + + int oo = INT32_MAX >> 1; + + while (__builtin_popcount(n) != 1) { + n++; + ans.push_back(oo); + } + + vvi mergeseg(n * 2); + + function build = [&](int i, int l, int r) { + if (l == r) { + mergeseg[i] = {ans[i - n]}; + return; + } + + int mid = (l + r) >> 1; + + build(i * 2, l, mid); + build(i * 2 + 1, mid + 1, r); + + merge(all(mergeseg[i * 2]), all(mergeseg[i * 2 + 1]), back_inserter(mergeseg[i])); + }; + + build(1, 0, n - 1); + + function query = [&](int i, int l, int r, int tl, int tr, int v) -> int { + if (l > tr || r < tl) { + return 0; + } + + if (l >= tl && r <= tr) { + auto upper = upper_bound(all(mergeseg[i]), v); + + return upper - mergeseg[i].begin(); + } + + int mid = (l + r) >> 1; + + return query(i * 2, l, mid, tl, tr, v) + query(i * 2 + 1, mid + 1, r, tl, tr, v); + }; + + while (q--) { + int a, b; + cin >> a >> b; + a--, b--; + + cout << query(1, 0, n - 1, a, b, a) << '\n'; + } +}