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#include <bits/stdc++.h> using namespace std; int n, d, S; vector<pair<int, int> > La, Lb, Lc; vector<int> tmp; long long sum[100000 + 5]; pair<int, int> solve(long long cnt, int ans1, int ans2) { if (cnt >= Lb.size()) ans1 += Lb.size(); else { ans1 += cnt; int ll = 0, rr = Lb.size() - cnt; while (ll < rr) { int mid = (ll + rr + 1) / 2; if (sum[mid] + ans2 <= S) ll = mid; else rr = mid - 1; } ans1 += ll; ans2 += sum[ll]; } return pair<int, int>(ans1, ans2); } int main() { scanf("%d %d %d", &n, &d, &S); for (int i = 0, a, b, c; i < n; i++) { scanf("%d %d %d", &a, &b, &c); if (c >= d) { if (a > 0) La.push_back(pair<int, int>(b, a)); else Lb.push_back(pair<int, int>(b, a)); tmp.push_back(b); } else Lc.push_back(pair<int, int>(a, b)); } sort(tmp.begin(), tmp.end()); int tmp1 = 0, tmp2 = 0; for (int i = 0; i < tmp.size() && tmp2 + tmp[i] <= S; i++) { tmp1++; tmp2 += tmp[i]; } sort(La.begin(), La.end()); sort(Lb.begin(), Lb.end()); for (int k = 0; k < int(Lb.size()); k++) sum[k + 1] = sum[k] + Lb[k].first; int ans1 = tmp1, ans2 = tmp2; long long SUM = 0; for (int k = 0; k < int(La.size()); k++) SUM += La[k].second - 1; long long cv1 = 0, cv2 = 0, cv3 = 0; for (int k = 0; k < int(Lc.size()); k++) { if (Lc[k].first > 0) { cv1++; cv2 += Lc[k].first - 1; } else { cv3++; } } long long tv2 = 0; for (int k = 0; k < int(La.size()) && tv2 + La[k].first <= S; k++) { tv2 += La[k].first; SUM++; long long cnt = SUM + cv2, cc = La.size() + cv1; if (cnt >= cv3) { cc += cv3; cnt -= cv3; } else { cc += cnt; cnt = 0; } pair<int, int> ans = solve(cnt, cc, tv2); if (ans.first > ans1 || (ans.first == ans1 && ans.second < ans2)) { ans1 = ans.first; ans2 = ans.second; } } printf("%d %d\n", ans1, ans2); return 0; }
#include <bits/stdc++.h> using namespace std; const int kNMax = 100010; int cnt1, cnt2, cnt3, cnt4; int arr3[kNMax], arr4[kNMax]; int c[kNMax], f[kNMax], l[kNMax]; int n, d, S; bool cmpF(int i, int j) { return f[i] < f[j]; } pair<int, int> work(int S, int lim) { pair<int, int> ret = make_pair(0, 0); for (int i = 0; ret.first < lim && i < cnt3; i++) { if (S < f[arr3[i]]) break; S -= f[arr3[i]]; ret.second += f[arr3[i]]; ret.first++; } return ret; } int main() { scanf("%d%d%d", &n, &d, &S); for (int i = 0; i < n; i++) { scanf("%d%d%d", &c[i], &f[i], &l[i]); if (c[i] == 0 && l[i] < d) cnt1++; if (c[i] > 0 && l[i] < d) cnt2++; if (c[i] == 0 && l[i] >= d) arr3[cnt3++] = i; if (c[i] > 0 && l[i] >= d) arr4[cnt4++] = i; } sort(arr3, arr3 + cnt3, cmpF); sort(arr4, arr4 + cnt4, cmpF); pair<int, int> tmpp = work(S, cnt3); if (!(cnt4 == 0 || f[arr4[0]] > S)) { int best = arr4[0]; S -= f[best]; long long sumC = 0; int goodCnt = 0; for (int i = 0; i < n; i++) if (c[i] > 0) { goodCnt++; sumC += c[i]; } if (cnt4 - 1 <= cnt1) { for (int i = 1; i < cnt4; i++) arr3[cnt3++] = arr4[i]; cnt1 -= cnt4 - 1; } else { for (int i = 1; i <= cnt1; i++) arr3[cnt3++] = arr4[i]; sort(arr3, arr3 + cnt3, cmpF); for (int i = cnt1 + 1, j = cnt3 - 1; j >= 0 && i < cnt4; i++, j--) { f[arr3[j]] = min(f[arr3[j]], f[arr4[i]]); } sort(arr3, arr3 + cnt3, cmpF); cnt1 = 0; } int more = (int)min((long long)cnt1 + cnt3, sumC - goodCnt + 1); pair<int, int> tmp; if (more <= cnt1) tmp = work(S, cnt3); else tmp = work(S, cnt3 - (more - cnt1)); tmp.first += more + goodCnt; tmp.second += f[best]; if (tmp.first > tmpp.first || (tmp.first == tmpp.first && tmp.second < tmpp.second)) tmpp = tmp; } printf("%d %d\n", tmpp.first, tmpp.second); }
#include <bits/stdc++.h> using namespace std; struct Node { long long c, f, l; bool operator<(const Node& nd) const { return f < nd.f; } }; Node Empty[100010]; Node NonE[100010]; int ect, nct; int n; long long D, S; void runEmpty(long long& res, long long& ans) { sort(Empty, Empty + ect); res = 0; ans = 0; for (int i = 0; i < ect; ++i) { if (Empty[i].l >= D) { if (res + Empty[i].f <= S) { res += Empty[i].f; ans++; } else { break; } } } } int main() { scanf("%d%I64d%I64d", &n, &D, &S); ect = nct = 0; long long sum = 0; bool hasone = false; for (int i = 0; i < n; ++i) { long long c, f, l; scanf("%I64d%I64d%I64d", &c, &f, &l); if (c) { NonE[nct].c = c; NonE[nct].f = f; NonE[nct].l = l; nct++; sum += c; if (l >= D && f <= S) hasone = true; } else { Empty[ect].c = c; Empty[ect].f = f; Empty[ect].l = l; ect++; } } if (hasone) { sum -= nct - 1; long long left = ect - sum > 0 ? ect - sum : 0; sort(NonE, NonE + nct); sort(Empty, Empty + ect); long long res = 0; int pn, pe; pn = pe = 0; while (pn < nct) { if (NonE[pn].l < D) pn++; else break; } res = NonE[pn++].f; NonE[nct].f = 1LL << 61; Empty[ect].f = 1LL << 61; while (left) { while (pn < nct) { if (NonE[pn].l < D) pn++; else break; } while (pe < ect) { if (Empty[pe].l < D) pe++; else break; } if (NonE[pn].f < Empty[pe].f) { if (res + NonE[pn].f <= S) { left--; res += NonE[pn].f; pn++; } else { break; } } else { if (res + Empty[pe].f <= S) { left--; res += Empty[pe].f; pe++; } else { break; } } } long long a = n - left; long long b = res; long long c, d; runEmpty(d, c); if (a < c || (a == c && b > d)) { a = c; b = d; } printf("%I64d %I64d\n", a, b); } else { long long res, ans; runEmpty(res, ans); printf("%I64d %I64d\n", ans, res); } return 0; }
#include <bits/stdc++.h> using namespace std; const int carry_minati = 1e5 + 100; int n, d, f, c[carry_minati], ff[carry_minati], dd[carry_minati], res = 0, val = 0; vector<int> g, a, b; void tensor_flow() { g.clear(); for (int i = 0; i < n; i++) if (c[i] == 0 and dd[i] >= d) g.push_back(ff[i]); sort(g.begin(), g.end()); int ans = 0; for (int i = 0; i < g.size(); i++) { ans += g[i]; if (ans > f) break; if (i + 1 > res or (i + 1 == res and ans < val)) { res = i + 1; val = ans; } } return; } void amit_bhadana() { bool can = 0; for (int i = 0; i < n; i++) if (c[i] and ff[i] <= f and dd[i] >= d) can = 1; if (!can) return; int hi = 0; for (int i = 0; i < n; i++) { hi += c[i]; hi = min(hi, n); } for (int i = 0; i < n; i++) if (dd[i] >= d) if (c[i]) a.push_back(ff[i]); else b.push_back(ff[i]); sort(a.begin(), a.end()); sort(b.begin(), b.end()); int answer = a[0], i = 1, j = 0; while (1) { int cnt = min(i + j + hi, n); if (cnt > res or (cnt == res and answer < val)) { res = cnt; val = answer; } if (i == a.size() and j == b.size()) break; if (i < a.size() and (j == b.size() or a[i] < b[j])) { answer += a[i]; i++; } else { answer += b[j]; j++; } if (answer > f) break; } } int main() { cin >> n >> d >> f; for (int i = 0; i < n; i++) cin >> c[i] >> ff[i] >> dd[i]; tensor_flow(); amit_bhadana(); cout << res << " " << val; return 0; }
#include <bits/stdc++.h> using namespace std; const double eps = 1e-8; int deg = 0, total = 0; vector<pair<int, int> > data; int n, d, s; pair<int, int> go(int s) { int x, y; int ret = 0; int now = 0; for (typeof(data.begin()) it = data.begin(); it != data.end(); it++) { if (it->first + now <= s) { now += it->first; ++ret; } else break; } x = ret; y = -now; int buy = 0; while (buy < data.size() && data[buy].second == 0) ++buy; if (buy == data.size() || data[buy].first > s) return make_pair(x, y); pair<int, int> ans = make_pair(x, y); now = data[buy].first; ans = max(ans, make_pair(min(n, deg + 1), -now)); int afford = 0; for (int i = 0; i < data.size(); i++) if (i != buy) { if (now + data[i].first <= s) ++afford; else break; now += data[i].first; ans = max(ans, make_pair(min(n, deg + 1 + afford), -now)); } return ans; } int main() { ios::sync_with_stdio(false); cin >> n >> d >> s; for (int i = 0; i < n; i++) { int c, f, l; cin >> c >> f >> l; deg += c; deg = min(deg, n); if (l < d) { ++total; } else data.push_back(make_pair(f, c)); } sort(data.begin(), data.end()); pair<int, int> out = go(s); cout << out.first << " " << -out.second << endl; return 0; }
#include <bits/stdc++.h> using namespace std; void swap(int &x, int &y) { int t = x; x = y; y = t; } int max(int x, int y) { return x > y ? x : y; } int min(int x, int y) { return x < y ? x : y; } const int inf = 0x3F3F3F3F; const int M = 100000 + 5; int T, cas; int n, m; long long a, sum[M << 2][5][11], s[5][M]; long long cf[5] = {2, 4, 6, 8, 10}; void preSof() { for (long long z = 2; z <= 6; z++) { long long md = (z - 1) << 1; for (long long i = 1; i < 13; i++) { long long j = i % md; if (!j) s[z - 2][i - 1] = 2; else if (j <= z) s[z - 2][i - 1] = j; else s[z - 2][i - 1] = (z << 1) - j; } } return; } void pushUp(int llen, int rt) { for (long long z = 2; z <= 6; z++) for (long long i = 0; i < cf[z - 2]; i++) sum[rt][z - 2][i] = sum[rt << 1][z - 2][i] + sum[rt << 1 | 1][z - 2][(i + llen) % cf[z - 2]]; } void build(int l, int r, int rt) { if (l == r) { scanf("%I64d", &a); for (long long z = 2; z <= 6; z++) for (long long i = 0; i < cf[z - 2]; i++) sum[rt][z - 2][i] = a * s[z - 2][i]; return; } int mid = l + r >> 1; build(l, mid, rt << 1), build(mid + 1, r, rt << 1 | 1); pushUp(mid - l + 1, rt); } void update(int l, int r, int rt, int p, long long c) { if (l == r) { for (long long z = 2; z <= 6; z++) for (long long i = 0; i < cf[z - 2]; i++) sum[rt][z - 2][i] = c * s[z - 2][i]; return; } int mid = l + r >> 1; if (p <= mid) update(l, mid, rt << 1, p, c); else update(mid + 1, r, rt << 1 | 1, p, c); pushUp(mid - l + 1, rt); } long long query(int l, int r, int rt, int L, int R, int z, int i) { if (L == l && r == R) { return sum[rt][z][i]; } int mid = l + r >> 1; if (R <= mid) return query(l, mid, rt << 1, L, R, z, i); if (mid < L) return query(mid + 1, r, rt << 1 | 1, L, R, z, i); return query(l, mid, rt << 1, L, mid, z, i) + query(mid + 1, r, rt << 1 | 1, mid + 1, R, z, (i + mid - L + 1) % cf[z]); } void run() { int i, j, t, p, v, l, r, z; build(1, n, 1); scanf("%d", &m); while (m--) { scanf("%d", &t); if (t == 1) { scanf("%d%d", &p, &v); update(1, n, 1, p, (long long)v); } else { scanf("%d%d%d", &l, &r, &z); printf("%I64d\n", query(1, n, 1, l, r, z - 2, 0)); } } } int main() { preSof(); while (~scanf("%d", &n)) run(); return 0; }
#include <bits/stdc++.h> const long double eps = 1e-9; const double pi = acos(-1.0); const long long inf = 1e18; using namespace std; struct summator { long long a[100002]; summator() { for (int i = 0; i < 100002; i++) a[i] = 0; } void modify(int pos, long long val) { while (pos < 100002) { a[pos] += val; pos = 2 * pos - (pos & (pos - 1)); } } long long fsum(int pos) { long long res = 0; while (pos > 0) { res += a[pos]; pos = pos & (pos - 1); } return res; } }; int n, m, num[7][11][100002], cc[7], bg[7][100002]; long long val[100002]; summator ss[7][11]; void modify(int pos, long long n) { for (int z = 2; z <= 6; z++) for (int s = 1; s <= cc[z]; s++) { long long coef = num[z][s][pos]; ss[z][s].modify(pos, coef * (n - val[pos])); } val[pos] = n; } long long query(int l, int r, int z) { int s = bg[z][l]; return ss[z][s].fsum(r) - ss[z][s].fsum(l - 1); } int main(int argc, const char* argv[]) { cc[2] = 2; cc[3] = 4; cc[4] = 6; cc[5] = 8; cc[6] = 10; scanf("%d", &n); for (int z = 2; z <= 6; z++) { for (int i = 1; i <= n; i++) { int val = i % (z + z - 2); if (val == 0) num[z][1][i] = 2; if (0 < val && val <= z) num[z][1][i] = val; if (z < val) num[z][1][i] = z + z - val; } for (int s = 2; s <= cc[z]; s++) for (int i = 1; i <= n; i++) { int ii = i - 1; if (ii == 0) ii = n; num[z][s][i] = num[z][s - 1][ii]; } for (int i = 1; i <= cc[z]; i++) bg[z][i] = i; for (int i = cc[z] + 1; i <= n; i++) bg[z][i] = bg[z][i - cc[z]]; } for (int i = 1; i <= n; i++) { long long a; scanf("%I64d", &a); modify(i, a); } int t; scanf("%d", &t); for (int q = 0; q < t; q++) { int tp; scanf("%d", &tp); if (tp == 1) { int pos; long long cur; scanf("%d%I64d", &pos, &cur); modify(pos, cur); } if (tp == 2) { int l, r, z; scanf("%d%d%d", &l, &r, &z); printf("%I64d\n", query(l, r, z)); } } return 0; }
#include <bits/stdc++.h> const int maxn = 100000; long long tree[5][10][maxn + 1]; int num[maxn + 1]; int lowbit(int x) { return x & -x; } long long s(int z, int i) { int t = i % (2 * (z - 1)); if (!t) return 2; else if (t <= z) return t; else return 2 * z - t; } long long query(long long* tree, int a) { long long ret = 0; while (a) { ret += tree[a]; a -= lowbit(a); } return ret; } void update(long long* tree, int n, int a, long long x) { while (a <= n) { tree[a] += x; a += lowbit(a); } } int main() { int n; int i; int z, st; scanf("%d", &n); for (i = 1; i <= n; ++i) { scanf("%d", num + i); for (z = 0; z < 5; ++z) { for (st = 0; st < z * 2 + 2; ++st) update(tree[z][st], n, i, num[i] * s(z + 2, st + i)); } } int m; scanf("%d", &m); int l, r, p, v; int cmd; while (m--) { scanf("%d", &cmd); if (cmd == 1) { scanf("%d%d", &p, &v); for (z = 0; z < 5; ++z) { for (st = 0; st < z * 2 + 2; ++st) { update(tree[z][st], n, p, ((long long)v - num[p]) * s(z + 2, st + p)); } } num[p] = v; } else { scanf("%d%d%d", &l, &r, &z); z -= 2; st = ((1 - l) % (z * 2 + 2) + (z * 2 + 2)) % (z * 2 + 2); printf("%I64d\n", query(tree[z][st], r) - query(tree[z][st], l - 1)); } } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 100005; long long seg[5][10][N << 2]; int tp[5][10], n; void update(int val, int v, int p = 1, int l = 1, int r = n) { if (l == r) { for (int j = 0; j < 5; j++) for (int i = 0; i < 2 + j * 2; i++) seg[j][i][p] = 1LL * val * tp[j][i]; return; } int m = l + r >> 1; if (v <= m) update(val, v, p << 1, l, m); else update(val, v, p << 1 | 1, m + 1, r); for (int i = 0; i < 5; i++) { int md = 2 + i * 2; for (int j = 0; j < md; j++) { int len = m - l + 1; int nxt = (j + len) % md; seg[i][j][p] = seg[i][j][p << 1] + seg[i][nxt][p << 1 | 1]; } } } int mod, len, z; long long query(int L, int R, int p = 1, int l = 1, int r = n) { if (L <= l && R >= r) { long long ans = seg[z][len % mod][p]; len += r - l + 1; return ans; } int m = l + r >> 1; long long ans = 0; if (L <= m) ans += query(L, R, p << 1, l, m); if (R > m) ans += query(L, R, p << 1 | 1, m + 1, r); return ans; } inline int cal(int z, int i) { int v = i % (2 * (z - 1)); if (v == 0) return 2; if (v <= z) return v; if (v > z) return 2 * z - v; } int main() { static int num[N]; for (int i = 2; i <= 6; i++) { for (int j = 0; j < i * 2 - 2; j++) { tp[i - 2][j] = cal(i, j + 1); } } cin >> n; for (int i = 1; i <= n; i++) { scanf("%d", &num[i]); update(num[i], i); } int m; cin >> m; while (m--) { int c, l, r; scanf("%d%d%d", &c, &l, &r); if (c == 1) update(r, l); else { scanf("%d", &c); z = c - 2; len = 0; mod = 2 * c - 2; cout << query(l, r) << endl; ; } } }
#include <bits/stdc++.h> using namespace std; void swap(int &x, int &y) { int t = x; x = y; y = t; } int max(int x, int y) { return x > y ? x : y; } int min(int x, int y) { return x < y ? x : y; } const int inf = 0x3F3F3F3F; const int M = 100000 + 5; int T, cas; int n, m; long long a, sum[M << 2][5][11], s[5][M]; long long cf[5] = {2, 4, 6, 8, 10}; void preSof() { for (long long z = 2; z <= 6; z++) { long long md = (z - 1) << 1; for (long long i = 1; i < M; i++) { long long j = i % md; if (!j) s[z - 2][i - 1] = 2; else if (j <= z) s[z - 2][i - 1] = j; else s[z - 2][i - 1] = (z << 1) - j; } } return; } void pushUp(int llen, int rt) { for (long long z = 2; z <= 6; z++) for (long long i = 0; i < cf[z - 2]; i++) sum[rt][z - 2][i] = sum[rt << 1][z - 2][i] + sum[rt << 1 | 1][z - 2][(i + llen) % cf[z - 2]]; } void build(int l, int r, int rt) { if (l == r) { scanf("%I64d", &a); for (long long z = 2; z <= 6; z++) for (long long i = 0; i < cf[z - 2]; i++) sum[rt][z - 2][i] = a * s[z - 2][i]; return; } int mid = l + r >> 1; build(l, mid, rt << 1), build(mid + 1, r, rt << 1 | 1); pushUp(mid - l + 1, rt); } void update(int l, int r, int rt, int p, long long c) { if (l == r) { for (long long z = 2; z <= 6; z++) for (long long i = 0; i < cf[z - 2]; i++) sum[rt][z - 2][i] = c * s[z - 2][i]; return; } int mid = l + r >> 1; if (p <= mid) update(l, mid, rt << 1, p, c); else update(mid + 1, r, rt << 1 | 1, p, c); pushUp(mid - l + 1, rt); } long long query(int l, int r, int rt, int L, int R, int z, int i) { if (L == l && r == R) { return sum[rt][z][i]; } int mid = l + r >> 1; if (R <= mid) return query(l, mid, rt << 1, L, R, z, i); if (mid < L) return query(mid + 1, r, rt << 1 | 1, L, R, z, i); return query(l, mid, rt << 1, L, mid, z, i) + query(mid + 1, r, rt << 1 | 1, mid + 1, R, z, (i + mid - L + 1) % cf[z]); } void run() { int i, j, t, p, v, l, r, z; build(1, n, 1); scanf("%d", &m); while (m--) { scanf("%d", &t); if (t == 1) { scanf("%d%d", &p, &v); update(1, n, 1, p, (long long)v); } else { scanf("%d%d%d", &l, &r, &z); printf("%I64d\n", query(1, n, 1, l, r, z - 2, 0)); } } } int main() { preSof(); while (~scanf("%d", &n)) run(); return 0; }
#include <bits/stdc++.h> using namespace std; const int MAX_N = 1 << 17; long long dat[7][15][2 * MAX_N - 1]; void init() { for (int i = 2; i <= 6; i++) { for (int j = 0; j < 2 * (i - 1); j++) { for (int k = 0; k < 2 * MAX_N - 1; k++) dat[i][j][k] = 0; } } } long long zigzag(int i, int z) { i++; int n = i % (2 * (z - 1)); if (n == 0) return 2; if (0 < n && n <= z) return n; return 2 * z - n; } void update(int k, long long a) { int nk = k + MAX_N - 1; for (int i = 2; i <= 6; i++) { for (int j = 0; j < 2 * (i - 1); j++) { int tmpk = nk; dat[i][j][tmpk] = a * zigzag(2 * (i - 1) - j + k, i); while (tmpk > 0) { tmpk = (tmpk - 1) / 2; dat[i][j][tmpk] = dat[i][j][tmpk * 2 + 1] + dat[i][j][tmpk * 2 + 2]; } } } } long long query(int a, int b, int k, int l, int r, int z, int offset) { if (r <= a || b <= l) return 0; if (a <= l && r <= b) return dat[z][offset][k]; else { return query(a, b, k * 2 + 1, l, (l + r) / 2, z, offset) + query(a, b, k * 2 + 2, (l + r) / 2, r, z, offset); } } int main() { int n, m; cin >> n; init(); for (int i = 0; i < n; i++) { int a; cin >> a; update(i, a); } cin >> m; for (int i = 0; i < m; i++) { int kind; cin >> kind; if (kind == 1) { int p, v; cin >> p >> v; p--; update(p, v); } else { int l, r, z; cin >> l >> r >> z; l--; cout << query(l, r, 0, 0, MAX_N, z, l % (2 * (z - 1))) << endl; } } return 0; }
#include <bits/stdc++.h> using namespace std; long long int bit[7][12][100024]; long long int v[7][12][100024]; int N, M; inline void updateBit(int y, int x, int o, long long int v) { int i; for (i = y; i <= N; i += i & -i) { bit[x][o][i] += v; } } long long int Z[7][32]; int SZ[7]; inline long long int queryBit(int y, int x, int o) { long long int r = 0; int i; for (i = y; i; i -= i & -i) { r += bit[x][o][i]; } return r; } int main() { int i, n, t; long long a, b; memset(bit, 0, sizeof(bit)); for (a = 2; a <= 6; a++) { n = 0; for (i = 1; i <= a; i++) { Z[a][n++] = i; } for (i = a - 1; i > 1; i--) { Z[a][n++] = i; } SZ[a] = n; } scanf("%d", &N); for (i = 1; i <= N; i++) { scanf("%I64d", &a); for (n = 2; n <= 6; n++) { for (t = 0; t < SZ[n]; t++) { b = a * Z[n][(i + -t - 1 + SZ[n]) % SZ[n]]; v[n][t][i] = b; updateBit(i, n, t, b); } } } scanf("%d", &M); while (M--) { scanf("%d", &t); switch (t) { case 1: scanf("%d %I64d", &i, &a); for (n = 2; n <= 6; n++) { for (t = 0; t < SZ[n]; t++) { b = a * Z[n][(i - 1 - t + SZ[n]) % SZ[n]]; updateBit(i, n, t, b - v[n][t][i]); v[n][t][i] = b; } } break; case 2: scanf("%d %d %d", &i, &n, &t); a = queryBit(n, t, (i - 1) % SZ[t]) - queryBit(i - 1, t, (i - 1) % SZ[t]); printf("%I64d\n", a); } } }
#include <bits/stdc++.h> using namespace std; inline int max(int a, int b) { return a > b ? a : b; } inline int min(int a, int b) { return a < b ? a : b; } inline int gcd(int a, int b) { if (a % b) return gcd(b, a % b); else return b; } inline int lcm(int a, int b) { return (a * (b / gcd(a, b))); } inline int And(int mask, int bit) { return mask & (1 << bit); } inline int Or(int mask, int bit) { return mask | (1 << bit); } inline int Xor(int mask, int bit) { return mask ^ (1 << bit); } int n, m; long long tree[7][11][100010], a[100010]; void updateBIT(long long tree[], int x, long long v) { while (x <= n) { tree[x] += v; x += (x & -x); } } long long getBIT(long long tree[], int x) { long long res = 0; while (x) { res += tree[x]; x -= (x & -x); } return res; } long long cal(int i, int z, int k) { i -= k; long long d = 2 * z - 2; i %= d; if (i < 0) i += d; if (i == 0) return 2; if (i <= z) return i; return 2 * z - i; } int main() { int u, v, c, l, r, z; long long res; scanf("%d", &n); for (int i = 1; i <= n; i++) { scanf("%I64d", &a[i]); for (int z = 2; z <= 6; z++) for (int k = 0; k < 2 * z - 2; k++) updateBIT(tree[z][k], i, a[i] * cal(i, z, k)); } scanf("%d", &m); for (int i = 0; i < m; i++) { scanf("%d", &c); if (c == 1) { scanf("%d %d", &u, &v); for (int z = 2; z <= 6; z++) for (int k = 0; k < 2 * z - 2; k++) updateBIT(tree[z][k], u, (long long)(v - a[u]) * cal(u, z, k)); a[u] = v; } else if (c == 2) { scanf("%d %d %d", &l, &r, &z); res = getBIT(tree[z][(l - 1) % (2 * z - 2)], r) - getBIT(tree[z][(l - 1) % (2 * z - 2)], l - 1); printf("%I64d\n", res); } } }
#include <bits/stdc++.h> using namespace std; long long tree[12][12][1 << 17]; long long a[100008]; void add(long long id1, long long id2, long long pos, long long val) { for (long long i = pos; i < (1 << 17); i = ((i) | (i + 1))) tree[id1][id2][i] += val; } long long sum(long long id1, long long id2, long long pos) { long long res = 0; for (long long i = pos; i > 0; i = ((i) & (i - 1))) res += tree[id1][id2][i - 1]; return res; } void update(long long pos, long long x) { long long d = x - a[pos]; a[pos] = x; for (long long i = 2; i <= 10; i += 2) add(i, pos % i, pos, d); } long long query(long long l, long long r, long long mod) { long long res = 0; for (long long i = 0; i < mod; i++) { long long op = 1 + min(i, mod - i); res += op * sum(mod, (l + i) % mod, r) - op * sum(mod, (l + i) % mod, l); } return res; } int main() { long long n; long long m; cin >> n; for (long long i = 0; i < n; i++) cin >> a[i]; for (long long i = 2; i <= 10; i += 2) for (long long j = 0; j < n; j++) add(i, j % i, j, a[j]); cin >> m; for (long long i = 0; i < m; i++) { long long q; cin >> q; if (q == 1) { long long a0, b0; cin >> a0 >> b0; update(a0 - 1, b0); } if (q == 2) { long long a0, b0, c0; cin >> a0 >> b0 >> c0; cout << query(a0 - 1, b0, 2 * (c0 - 1)) << endl; } } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 100010; int n; struct BIT { long long c[N]; void insert(int x, long long val) { for (; x <= n; x += x & -x) c[x] += val; } long long get(int x) { long long ret = 0; for (; x; x ^= x & -x) ret += c[x]; return ret; } }; BIT bit[7][10]; int m, v[N]; inline long long cal(int ps, int z, int delta) { int tem = (z - 1) << 1; int pss = (ps - delta + tem) % tem; if (pss < z) return pss + 1; return tem - pss + 1; } int main() { cin >> n; for (int i = 0; i < n; ++i) { cin >> v[i]; for (int j = 2; j <= 6; ++j) { for (int k = 0; k < (j - 1) * 2; ++k) { bit[j][k].insert(i + 1, cal(i, j, k) * v[i]); } } } cin >> m; for (int q = 0, cmd, l, r, x; q < m; ++q) { cin >> cmd; if (cmd == 1) { cin >> l >> x; for (int i = 2; i <= 6; ++i) for (int j = 0; j < (i - 1) * 2; ++j) { bit[i][j].insert(l, -1 * cal(l - 1, i, j) * v[l - 1]); bit[i][j].insert(l, cal(l - 1, i, j) * x); } v[l - 1] = x; } else { cin >> l >> r >> x; int tem = (x - 1) << 1; cout << bit[x][(l - 1) % tem].get(r) - bit[x][(l - 1) % tem].get(l - 1) << endl; } } return 0; }
#include <bits/stdc++.h> using namespace std; long long a[11][100010] = {0}; long long sum(int k, int dir) { long long ans = 0; int r = k % dir; k = k / dir + 1; while (k > 0) { ans += a[dir][(k - 1) * dir + r]; k -= k & (-k); } return ans; } void update(int k, int dir, long long num) { int r = k % dir; k = k / dir + 1; while ((k - 1) * dir + r < 100010) { a[dir][(k - 1) * dir + r] += num; k += k & (-k); } } long long calc(int dir, int start, int end) { int r = start % dir; if (end / dir * dir + r > end) end = end / dir * dir + r - dir; else end = end / dir * dir + r; long long ans = sum(end, dir); if (start - dir > 0) ans -= sum(start - dir, dir); return ans; } int fz(int i, int z) { int r = i % (2 * (z - 1)); if (r == 0) return 2; else if (r <= z) return r; else return 2 * z - r; } long long b[100010]; int main() { int n; scanf("%d", &n); for (int i = 1; i <= n; i++) { scanf("%I64d", &b[i]); for (int j = 1; j <= 10; j++) { update(i, j, b[i]); } } int q; int t, p; long long v; scanf("%d", &q); int l, r, z; long long ans = 0; while (q--) { scanf("%d", &t); if (t == 1) { scanf("%d%I64d", &p, &v); long long diff = v - b[p]; b[p] = v; for (int j = 1; j <= 10; j++) update(p, j, diff); } else { scanf("%d%d%d", &l, &r, &z); ans = 0; for (int i = 1; i <= 2 * (z - 1) && l + i - 1 <= r; i++) { ans += calc(2 * (z - 1), i + l - 1, r) * fz(i, z); } printf("%I64d\n", ans); } } return 0; }
#include <bits/stdc++.h> using namespace std; const long long N = 1e5 + 7, Z = 7; long long read() { long long s = 0, w = 1; char c; while (c = getchar(), c > '9' || c < '0') if (c == '-') w = -1; while (c >= '0' && c <= '9') s = s * 10 + c - '0', c = getchar(); return s * w; } void write(long long x) { if (x < 0) putchar('-'), x = -x; if (x >= 10) write(x / 10); putchar(x % 10 | '0'); } void wsp(long long x) { write(x); putchar(' '); } void wln(long long x) { write(x); putchar('\n'); } long long n, m; long long a[N]; struct seg { long long z, ps; long long s[N << 2]; void pushup(long long ts) { s[ts] = s[(ts << 1)] + s[(ts << 1 | 1)]; } long long Val(long long x) { x += ps; long long p = 2 * (z - 1); if (x % p == 0) return 2; if (x % p <= z) return x % p; return 2 * z - x % p; } void build(long long ts, long long l, long long r) { if (l == r) { s[ts] = a[l] * Val(l); return; } long long mid = (l + r) >> 1; build((ts << 1), l, mid); build((ts << 1 | 1), mid + 1, r); pushup(ts); } void change(long long ts, long long l, long long r, long long x, long long v) { if (l == r) { s[ts] = v * Val(l); return; } long long mid = (l + r) >> 1; if (x <= mid) change((ts << 1), l, mid, x, v); else change((ts << 1 | 1), mid + 1, r, x, v); pushup(ts); } long long query(long long ts, long long l, long long r, long long L, long long R) { if (l == L && r == R) return s[ts]; long long mid = (l + r) >> 1; if (R <= mid) return query((ts << 1), l, mid, L, R); else if (L > mid) return query((ts << 1 | 1), mid + 1, r, L, R); else return query((ts << 1), l, mid, L, mid) + query((ts << 1 | 1), mid + 1, r, mid + 1, R); } } T[7][11]; void change(long long l, long long x) { for (long long i = 2; i <= 6; i++) for (long long j = 0; j < 2 * (i - 1); j++) T[i][j].change(1, 1, n, l, x); } signed main() { n = read(); for (long long i = 1; i <= n; i++) a[i] = read(); for (long long i = 2; i <= 6; i++) for (long long j = 0; j < 2 * (i - 1); j++) { T[i][j].z = i; T[i][j].ps = j; T[i][j].build(1, 1, n); } m = read(); for (long long i = 1, opt, l, r, x; i <= m; i++) { opt = read(); if (opt == 1) { l = read(); x = read(); change(l, x); } else { l = read(); r = read(); x = read(); long long p = 2 * (x - 1); wln(T[x][(p - l % p + 1) % p].query(1, 1, n, l, r)); } } }
#include <bits/stdc++.h> using namespace std; const int INF = 20000000; const long long mod = 1e9 + 7; int arr[100001]; long long n, t[7][10][400000]; long long ZZ(int num, int z) { while (num <= 0) num += 2 * (z - 1); if ((num % (2 * (z - 1))) == 0) return 2; else if ((num % (2 * (z - 1))) <= z) return (num % (2 * (z - 1))); else return 2 * z - (num % (2 * (z - 1))); } void build(int z, int shift, int v, int tl, int tr) { if (tl == tr) t[z][shift][v] = arr[tl] * ZZ(tl + 1 - shift, z); else { int tm = (tl + tr) / 2; build(z, shift, v * 2, tl, tm); build(z, shift, v * 2 + 1, tm + 1, tr); t[z][shift][v] = t[z][shift][v * 2] + t[z][shift][v * 2 + 1]; } } long long sum(int z, int shift, int v, int tl, int tr, int l, int r) { if (l > r) return 0; if (l == tl && r == tr) return t[z][shift][v]; int tm = (tl + tr) / 2; return sum(z, shift, v * 2, tl, tm, l, min(r, tm)) + sum(z, shift, v * 2 + 1, tm + 1, tr, max(l, tm + 1), r); } void update(int z, int shift, int v, int tl, int tr, int pos, long long val) { if (tl == tr) t[z][shift][v] = val * ZZ(tl + 1 - shift, z); else { int tm = (tl + tr) / 2; if (pos <= tm) update(z, shift, v * 2, tl, tm, pos, val); else update(z, shift, v * 2 + 1, tm + 1, tr, pos, val); t[z][shift][v] = t[z][shift][v * 2] + t[z][shift][v * 2 + 1]; } } int main() { ios::sync_with_stdio(false); cin >> n; for (int i = 0; i < n; ++i) { cin >> arr[i]; } for (int i = 2; i <= 6; ++i) { for (int sh = 0; sh < 2 * (i - 1); ++sh) { build(i, sh, 1, 0, n - 1); } } int q; cin >> q; while (q) { int t; cin >> t; if (t == 1) { int p, v; cin >> p >> v; for (int i = 2; i <= 6; ++i) { for (int sh = 0; sh < 2 * (i - 1); ++sh) { update(i, sh, 1, 0, n - 1, p - 1, v); } } } else { int l, r, z; cin >> l >> r >> z; cout << sum(z, (l - 1) % (2 * (z - 1)), 1, 0, n - 1, l - 1, r - 1) << endl; } --q; } return 0; }
#include <bits/stdc++.h> using namespace std; inline void pisz(int n) { printf("%d\n", n); } template <typename T, typename TT> ostream &operator<<(ostream &s, pair<T, TT> t) { return s << "(" << t.first << "," << t.second << ")"; } template <typename T> ostream &operator<<(ostream &s, vector<T> t) { for (int(i) = 0; (i) < (((int)(t.size()))); ++(i)) s << t[i] << " "; return s; } void add(long long *t, int n, long long x) { for (; n < 100007; n |= n + 1) t[n] += x; } long long sum(long long *t, int n) { long long s = 0; while (n >= 0) { s += t[n]; n = (n & (n + 1)) - 1; } return s; } int a[100007]; long long tab[6][14][100007]; void dodaj(int ppi, long long diff) { for (int(z) = (2); (z) <= (6); ++z) for (int(k) = (0); (k) <= (2 * z - 3); ++k) { int pos = (ppi + 1 - k) % (2 * z - 2); if (pos < 0) pos += 2 * z - 2; int res; if (pos == 0) res = 2; else if (pos <= z) res = pos; else res = 2 * z - pos; add(tab[z - 2][k], ppi, diff * res); } } int main() { for (int(z) = (2); (z) <= (6); ++z) for (int(k) = (0); (k) <= (2 * z - 3); ++k) for (int(i) = 0; (i) < (100007); ++(i)) tab[z - 2][k][i] = 0; int(n); scanf("%d", &(n)); for (int(i) = 1; (i) <= (n); ++(i)) { scanf("%d", a + i); dodaj(i, a[i]); } int(testow); scanf("%d", &(testow)); while (testow--) { int(tp); scanf("%d", &(tp)); if (tp == 1) { int(ppi), (vvi); scanf("%d %d", &(ppi), &(vvi)); ; long long diff = vvi - a[ppi]; a[ppi] = vvi; dodaj(ppi, diff); } else { int(l), (r), (z); scanf("%d %d %d", &(l), &(r), &(z)); long long sum1 = sum(tab[z - 2][l % (2 * z - 2)], l - 1); long long sum2 = sum(tab[z - 2][l % (2 * z - 2)], r); printf("%I64d\n", sum2 - sum1); } } }
#include <bits/stdc++.h> using namespace std; typedef char* cstr; const int oo = (~0u) >> 1; const long long int ooll = (~0ull) >> 1; const double inf = 1e+8; const double eps = 1e-8; const double pi = acos(-1.0); const int MOD = 1000000007; template <typename type> inline bool cmax(type& a, const type& b) { return a < b ? a = b, true : false; } template <typename type> inline bool cmin(type& a, const type& b) { return a > b ? a = b, true : false; } template <typename type> inline type sqr(const type& first) { return first * first; } int dbcmp(const double& a, const double& b) { return (a > b + eps) - (a < b - eps); } int sgn(const double& first) { return dbcmp(first, 0); } template <typename type> inline type gcd(type a, type b) { if (b) while ((a %= b) && (b %= a)) ; return a + b; } template <typename type> inline type lcm(type a, type b) { return a * b / gcd(a, b); } template <typename type> inline void bit_inc(vector<type>& st, int first, type inc) { while (first < ((int)(st).size())) st[first] += inc, first |= first + 1; } template <typename type> inline type bit_sum(const vector<type>& st, int first) { type s = 0; while (first >= 0) s += st[first], first = (first & (first + 1)) - 1; return s; } inline void make_set(vector<int>& set, int size) { set.resize(size); for (int i = 0; i < (size); ++i) set[i] = i; } inline int find_set(vector<int>& set, int first) { if (set[first] != first) set[first] = find_set(set, set[first]); return set[first]; } inline bool union_set(vector<int>& set, int a, int b) { a = find_set(set, a), b = find_set(set, b); return a == b ? false : set[a] = b, true; } vector<long long int> a; vector<long long int> st[6 + 2][10 + 2]; void ins(long long int p, long long int first) { long long int delta = first - a[p]; a[p] = first; for (int i = (2); i <= (6); ++i) { bit_inc(st[i][p % ((i - 1) * 2)], p, delta); } } long long int qry(long long int l, long long int r, long long int z) { long long int ans = 0; for (int i = 0; i < ((z - 1) * 2); ++i) { ans += (bit_sum(st[z][(l + i) % ((z - 1) * 2)], r) - bit_sum(st[z][(l + i) % ((z - 1) * 2)], l - 1)) * min<long long int>(i + 1, z * 2 - (i + 1)); } return ans; } int main() { int n; cin >> n; a.resize(n); for (int i = (2); i <= (6); ++i) for (int j = 0; j < ((i - 1) * 2); ++j) st[i][j].resize(n); for (int i = 0; i < (n); ++i) { long long int ai; cin >> ai; ins(i, ai); } int m; cin >> m; for (int i = 0; i < (m); ++i) { int t; cin >> t; switch (t) { case 1: { long long int p, first; cin >> p >> first; ins(--p, first); } break; case 2: { long long int l, r, z; cin >> l >> r >> z; cout << qry(--l, --r, z) << endl; } break; } } }
#include <bits/stdc++.h> using namespace std; const int OO = 2e9; const int MOD = 1e9 + 7; const double Pi = 3.141592653589793; const int N = 1e5 + 5; struct data { int l, r; long long s[7][12]; } IT[3 * N]; int a[N]; int n, q; data combine(data a, data b) { data res; res.l = a.l; res.r = b.r; for (int z = (int)2; z <= (int)6; z++) for (int p = (int)1; p <= (int)2 * z - 2; p++) res.s[z][p] = 1LL * a.s[z][p] + b.s[z][(a.r - a.l + p) % (2 * z - 2) + 1]; return res; } int S(int z, int i) { int l = 2 * (z - 1); if (i % l == 0) return 2; if (i % l <= z) return i % l; return 2 * z - (i % l); } void gen(int x, int l, int r) { if (l == r) { IT[x].l = l; IT[x].r = r; for (int z = (int)2; z <= (int)6; z++) for (int p = (int)1; p <= (int)2 * z - 2; p++) IT[x].s[z][p] = 1LL * a[l] * S(z, p); return; } int m = (l + r) >> 1; gen(x * 2, l, m); gen(x * 2 + 1, m + 1, r); IT[x] = combine(IT[x * 2], IT[x * 2 + 1]); } void update(int x, int l, int r, int P, int v) { if (l == r) { a[l] = v; for (int z = (int)2; z <= (int)6; z++) for (int p = (int)1; p <= (int)2 * z - 2; p++) IT[x].s[z][p] = 1LL * a[l] * S(z, p); } else { int m = (l + r) >> 1; if (P <= m) update(x * 2, l, m, P, v); else update(x * 2 + 1, m + 1, r, P, v); IT[x] = combine(IT[x * 2], IT[x * 2 + 1]); } } data query(int x, int l, int r, int L, int R) { if (L <= l && r <= R) return IT[x]; int m = (l + r) >> 1; if (R <= m) return query(x * 2, l, m, L, R); if (m < L) return query(x * 2 + 1, m + 1, r, L, R); return combine(query(x * 2, l, m, L, R), query(x * 2 + 1, m + 1, r, L, R)); } int main() { cin >> n; for (int i = (int)1; i <= (int)n; i++) scanf("%i", &a[i]); gen(1, 1, n); cin >> q; int t, x, y, z; while (q--) { scanf("%i%i%i", &t, &x, &y); if (t == 1) update(1, 1, n, x, y); else { scanf("%i", &z); data db = (query(1, 1, n, x, y)); printf("%I64d\n", db.s[z][1]); } } }
#include <bits/stdc++.h> using namespace std; inline int mmod(int n, int z, int l) { int mod = 2 * z - 2; return ((n - l) % mod + mod) % mod; } vector<vector<long long> > z; struct ST { int n; vector<long long> t; int x, y; ST() {} ST(const vector<long long> &a, int _x, int _y) { x = _x; y = _y; n = 1; int _n = (int)a.size(); while (n < _n) n <<= 1; t.clear(); t.resize(2 * n); for (int i = n; i < n + _n; i++) t[i] = a[i - n] * z[x][mmod(i - n, x, y)]; for (int i = n - 1; i > 0; i--) t[i] = t[i << 1] + t[(i << 1) + 1]; } inline void update(int v, int val) { v += n; t[v] = (long long)val * z[x][mmod(v - n, x, y)]; v >>= 1; while (v) t[v] = t[v << 1] + t[(v << 1) + 1], v >>= 1; } inline long long get(int v, int a, int b, int l, int r) { if (r < a || b < l) return 0; if (l <= a && b <= r) return t[v]; int m = (a + b) >> 1; return get(v << 1, a, m, l, r) + get((v << 1) + 1, m + 1, b, l, r); } inline long long get(int l, int r) { return get(1, n, (n << 1) - 1, l + n, r + n); } }; int n; vector<long long> a; int main() { while (scanf("%d", &n) >= 1) { z.resize(7); for (int i = 2; i <= 6; i++) { z[i].resize(2 * i - 2); for (int j = 0; j < i; j++) z[i][j] = j + 1; for (int j = i; j < 2 * i - 2; j++) z[i][j] = (i << 1) - j - 1; } a.resize(n); for (int i = 0; i < n; i++) scanf("%I64d", &a[i]); vector<ST> trees[7]; for (int i = 2; i <= 6; i++) { trees[i].resize(2 * i - 2); for (int j = 0; j < 2 * i - 2; j++) trees[i][j] = ST(a, i, j); } int q; scanf("%d", &q); for (int i = 0; i < q; i++) { int type; scanf("%d", &type); if (type == 1) { int p, v; scanf("%d%d", &p, &v); --p; for (int z = 2; z <= 6; z++) for (int j = 0; j < 2 * z - 2; j++) trees[z][j].update(p, v); } else { int l, r, z; scanf("%d%d%d", &l, &r, &z); --l, --r; printf("%I64d\n", trees[z][l % (2 * z - 2)].get(l, r)); } } break; } return 0; }
#include <bits/stdc++.h> using namespace std; int n, m, A[100005]; struct BIT { long long arr[100005]; int sz; void add(int pos, int val) { while (pos <= sz) { arr[pos] += (long long)val; pos += pos & -pos; } } long long sum(int pos) { long long S = 0; while (pos > 0) { S += arr[pos]; pos -= pos & -pos; } return S; } } ars[5][10]; inline int cals(int i, int z) { return ((!(i % ((z << 1) - 2))) ? (2) : ((i % ((z << 1) - 2) <= z) ? (i % ((z << 1) - 2)) : ((z << 1) - (i % ((z << 1) - 2))))); } inline int app(int i, int z) { return (i + (z << 1) - 3) / ((z << 1) - 2); } inline int inc(int i, int z, int m) { z = (z << 1) - 2; if (m) { return ((i - m + z) / z); } else { return (i / z); } } int main() { int p, v, xb, x2, t, l, r, z; scanf("%d", &n); for (xb = 0; xb < 5; xb++) for (x2 = 0; x2 < 10; x2++) ars[xb][x2].sz = n; for (xb = 1; xb <= n; xb++) { scanf("%d", &A[xb]); for (x2 = 2; x2 <= 6; x2++) { ars[x2 - 2][xb % ((x2 << 1) - 2)].add(app(xb, x2), A[xb]); } } scanf("%d", &m); for (xb = 0; xb < m; xb++) { scanf("%d", &t); if (t == 1) { scanf("%d%d", &p, &v); for (x2 = 2; x2 <= 6; x2++) { ars[x2 - 2][p % ((x2 << 1) - 2)].add(app(p, x2), v - A[p]); } A[p] = v; } else { scanf("%d%d%d", &l, &r, &z); long long res = 0; for (x2 = 0; x2 < (z << 1) - 2; x2++) { res += (long long)cals(x2 + 100000 * ((z << 1) - 2) - l + 1, z) * (ars[z - 2][x2].sum(inc(r, z, x2)) - ars[z - 2][x2].sum(inc(l - 1, z, x2))); } printf("%I64d\n", res); } } return 0; }
#include <bits/stdc++.h> const int LMT = 100003; long long sum[5][12][LMT << 2]; int Z; long long query(int L, int R, int l, int r, int x) { if (L <= l && r <= R) return sum[Z - 2][(l - L + 1) % ((Z << 1) - 2)][x]; int m = (l + r) >> 1; long long res = 0; if (L <= m) res += query(L, R, l, m, x << 1); if (R > m) res += query(L, R, m + 1, r, x << 1 | 1); return res; } void update(long long op, int pos, int l, int r, int x) { if (l == r) { int i, j; for (i = 2; i <= 6; ++i) for (j = 0; j < (i << 1) - 2; ++j) if (j > i) sum[i - 2][j][x] = op * ((i << 1) - j); else if (j > 0 && j <= i) sum[i - 2][j][x] = op * j; else sum[i - 2][j][x] = op << 1; return; } int m = (l + r) >> 1, i, j, le = m - l + 1; if (pos <= m) update(op, pos, l, m, x << 1); else update(op, pos, m + 1, r, x << 1 | 1); for (i = 2; i <= 6; ++i) for (j = 0; j < (i << 1) - 2; ++j) sum[i - 2][j][x] = sum[i - 2][j][x << 1] + sum[i - 2][(j + le) % ((i << 1) - 2)][x << 1 | 1]; } int main(void) { int l, r, i, n, t, v; long long x; scanf("%d", &n); for (i = 1; i <= n; ++i) { scanf("%I64d", &x); update(x, i, 1, n, 1); } scanf("%d", &t); while (t--) { scanf("%I64d", &x); if (1 == x) { scanf("%d%d", &l, &v); update(v, l, 1, n, 1); } else { scanf("%d%d%d", &l, &r, &Z); printf("%I64d\n", query(l, r, 1, n, 1)); } } return 0; }
#include <bits/stdc++.h> using namespace std; struct forZ { vector<long long int> BIT[20]; int prev[200000]; int N, Z; int maxsZ; void init(int _n, int _Z) { N = _n; Z = (_Z - 1) * 2; maxsZ = (N + Z) / Z + 10; for (int i = 0; i <= 12; i++) BIT[i].resize(10 + (N + Z) / Z); } void U(int loc, int val) { int i; int rem = loc % Z; loc /= Z; loc += 3; for (i = loc; i < maxsZ; i += (i & -i)) BIT[rem][i] += val; } long long int Q(int loc) { if (loc < 0) return 0; int i; long long int ret = 0; int rem = loc % Z; loc /= Z; loc += 3; for (i = loc; i > 0; i -= (i & -i)) ret += BIT[rem][i]; return ret; } void upd(int loc, int ele) { U(loc, ele - prev[loc]); prev[loc] = ele; } long long int lastmul(long long int a, long long int b) { long long int mul = a / Z; mul *= Z; mul += b; mul += Z; while (mul >= a) mul -= Z; return mul; } long long int query(int lft, int rgt) { long long int ans = 0; int i; long long int cur = 1; for (i = 0; i < Z / 2; i++) ans += cur++ * (Q(lastmul(rgt + 1, (i + lft) % Z)) - Q(lastmul(lft, (i + lft) % Z))); for (i = Z / 2; i < Z; i++) { ans += cur-- * (Q(lastmul(rgt + 1, (i + lft) % Z)) - Q(lastmul(lft, (i + lft) % Z))); } return ans; } }; int n, i; forZ dss[7]; int main() { int x, j; cin >> n; for (i = 2; i <= 6; i++) { dss[i].init(n, i); } for (i = 0; i < n; i++) { cin >> x; for (j = 2; j <= 6; j++) dss[j].upd(i, x); } int m, l, r, z, tp; cin >> m; while (m--) { cin >> tp; if (tp == 2) { cin >> l >> r >> z; l--; r--; cout << dss[z].query(l, r) << endl; } else { cin >> l >> z; l--; for (i = 2; i <= 6; i++) dss[i].upd(l, z); } } return 0; }
#include <bits/stdc++.h> using namespace std; class FenwickTree { public: long long sum(int r) { long long result = 0; for (; r >= 0; r = (r & (r + 1)) - 1) result += t[r]; return result; } long long sum(int l, int r) { return sum(r) - sum(l - 1); } void inc(int i, long long delta) { for (; i < (int)t.size(); i = (i | (i + 1))) t[i] += delta; } void inc(int l, int r, long long delta) { inc(l, delta); inc(r + 1, -delta); } void assign(int i, long long value) { long long delta = value - sum(i, i); inc(i, delta); } FenwickTree(std::vector<long long> &a) : t(vector<long long>(a.size(), 0)) { for (int i = 0; i < (int)a.size(); ++i) inc(i, a[i]); } FenwickTree() {} private: std::vector<long long> t; }; int zigzag(int i, int z) { int zz = 2 * (z - 1); if (i % zz == 0) return 2; if (i % zz <= z) return i % zz; return z * 2 - i % zz; } int main() { ios_base::sync_with_stdio(0); int n, m; cin >> n; vector<long long> a(n + 1); for (int i = 1; i <= n; ++i) cin >> a[i]; vector<vector<FenwickTree> > trees(7); for (int i = 2; i <= 6; ++i) { trees[i] = vector<FenwickTree>((i - 1) * 2); for (int j = 0; j < (i - 1) * 2; ++j) { vector<long long> aij(a); for (int k = 1; k <= n; ++k) aij[k] = a[k] * zigzag(k + j, i); trees[i][j] = FenwickTree(aij); } } cin >> m; int t, x, y, z; while (m--) { cin >> t; if (t == 1) { cin >> x >> y; for (int i = 2; i <= 6; ++i) for (int j = 0; j < (i - 1) * 2; ++j) trees[i][j].assign(x, (long long)y * zigzag(x + j, i)); } else { cin >> x >> y >> z; int mod = x % ((z - 1) * 2); if (mod == 0) mod += (z - 1) * 2; int pos = (z - 1) * 2 + 1 - mod; pos %= (z - 1) * 2; cout << trees[z][pos].sum(x, y) << '\n'; } } return 0; }
#include <bits/stdc++.h> using namespace std; const int INF = 1 << 29; const double PI = acos(-1); const double EPS = 1e-8; long long bit[7][10][100010]; int n; long long sum(int z, int k, int i) { long long s = 0; while (i > 0) { s += bit[z][k][i]; i -= i & -i; } return s; } long long sum2(int z, int k, int a, int b) { return sum(z, k, b) - sum(z, k, a - 1); } void add(int z, int k, int i, long long x) { while (i <= n) { bit[z][k][i] += x; i += i & -i; } } int f(int i, int z) { int p = i % (2 * (z - 1)); if (p == 0) return 2; if (p <= z) return p; return 2 * z - p; } int g(int i, int z) { int zz = 2 * (z - 1); return (i % zz + zz) % zz; } long long a[100001]; int main() { cin >> n; for (int i = 1; i <= n; ++i) { cin >> a[i]; for (int z = 2; z <= 6; ++z) { for (int t = 0; t < 2 * (z - 1); ++t) { add(z, t, i, a[i] * f(g(i - t, z), z)); } } } int m; cin >> m; for (int i = 0; i < (int)m; ++i) { int t; cin >> t; if (t == 1) { long long p, v; cin >> p >> v; for (int z = 2; z <= 6; ++z) { for (int t = 0; t < 2 * (z - 1); ++t) { add(z, t, p, -a[p] * f(g(p - t, z), z)); add(z, t, p, v * f(g(p - t, z), z)); } } a[p] = v; } else { int l, r, z; cin >> l >> r >> z; int t = (l - 1) % (2 * (z - 1)); cout << sum2(z, t, l, r) << endl; } } }
#include <bits/stdc++.h> using namespace std; int Get() { char c; while (c = getchar(), c < '0' || c > '9') ; int X = c - 48; while (c = getchar(), c >= '0' && c <= '9') X = X * 10 + c - 48; return X; } void Output(long long X) { int Data[20], Len = 0; while (X) { Data[Len++] = X % 10; X /= 10; } if (!Len) Data[Len++] = 0; while (Len--) putchar(Data[Len] + 48); putchar('\n'); } const int Code[11][10] = { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 4, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 7, 8, 9, 10, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 13, 14, 15, 16, 17, 18, 19, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, }; int N; long long S[30][100001]; void Add(int X, int P, long long Delta) { while (P <= N) { S[X][P] += Delta; P += P & -P; } } long long Sum(int X, int P) { long long Ans = 0; while (P) { Ans += S[X][P]; P -= P & -P; } return Ans; } int main() { static long long Data[100000]; N = Get(); for (int i = 0; i < N; i++) Data[i] = Get(); memset(S, 0, sizeof(S)); for (int i = 0; i < N; i++) for (int j = 2; j <= 10; j += 2) Add(Code[j][i % j], i + 1, Data[i]); int Query = Get(); while (Query--) { int Type = Get(); if (Type == 1) { int X = Get() - 1, Y = Get(); for (int i = 2; i <= 10; i += 2) Add(Code[i][X % i], X + 1, Y - Data[X]); Data[X] = Y; } else { int L = Get() - 1, R = Get(), M = (Get() - 1) * 2; long long Ans = 0; for (int i = 0, j = 1; i < M; i++, j++) { int X = Code[M][(L + i) % M]; Ans += (Sum(X, R) - Sum(X, L)) * min(j, M + 2 - j); } Output(Ans); } } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 100010; long long T[7][11][N] = {0}, ans; int n, m, a[N], c, l, r, z; void update(int zz, int mod, int x, int v) { while (x <= n) T[zz][mod][x] += v, x += x & -x; } long long getres(int zz, int mod, int x) { long long res = 0; while (x) res += T[zz][mod][x], x -= x & -x; return res; } long long S(int i, int z) { if (i % (2 * (z - 1)) == 0) return 2; if (i % (2 * (z - 1)) > z) return 2 * z - i % (2 * (z - 1)); else return i % (2 * (z - 1)); } int main() { scanf("%d", &n); for (int i = 1; i <= n; ++i) scanf("%d", a + i); for (int i = 1; i <= n; ++i) { for (int zz = 2; zz <= 6; ++zz) update(zz, i % (2 * (zz - 1)), i, a[i]); } scanf("%d", &m); for (int i = 1; i <= m; ++i) { scanf("%d", &c); if (c == 1) { scanf("%d%d", &l, &r); for (int zz = 2; zz <= 6; ++zz) update(zz, l % (2 * (zz - 1)), l, -a[l]); a[l] = r; for (int zz = 2; zz <= 6; ++zz) update(zz, l % (2 * (zz - 1)), l, a[l]); } else { ans = 0; scanf("%d%d%d", &l, &r, &z); for (int j = l; j <= min(r, l + 2 * z - 3); ++j) ans += 1LL * (getres(z, j % (2 * (z - 1)), r) - getres(z, j % (2 * (z - 1)), l - 1)) * S(j - l + 1, z); printf("%I64d\n", ans); } } return 0; }
#include <bits/stdc++.h> using namespace std; double EPS = 1e-10; const int MAX_N = 100010; double EQ(double a, double b) { return abs(a - b) < EPS; } void fast_stream() { std::ios_base::sync_with_stdio(0); } class BIT { private: long long bit[MAX_N]; int n; public: BIT() {} BIT(int sz) { init(sz); } void init(int sz) { n = sz; memset(bit, 0, sizeof(bit)); } long long sum(int i) { long long s = 0; while (i > 0) { s += bit[i]; i -= i & -i; } return s; } void add(int i, long long x) { while (i <= n) { bit[i] += x; i += i & -i; } } }; BIT bit[7][11]; int N, M; long long as[100010]; int main() { fast_stream(); cin >> N; for (int i = 0; i < N; i++) cin >> as[i]; for (int i = 0; i < 7; i++) for (int j = 0; j < 11; j++) bit[i][j].init(N + 20); for (int z = 2; z <= 6; z++) { for (int i = 0; i < (z - 1) * 2; i++) { for (int j = i; j < N; j++) { int pos = j - i; int pos2 = pos % (2 * (z - 1)); if (pos2 >= (z - 1)) pos2 = 2 * (z - 1) - pos2; bit[z][i].add(pos + 1, as[j] * (pos2 + 1)); } } } cin >> M; for (int i = 0; i < M; i++) { int t; cin >> t; if (t == 1) { long long p, v; cin >> p >> v; p--; for (int z = 2; z <= 6; z++) { for (int i = 0; i < (z - 1) * 2; i++) { if (p - i < 0) break; int rp = (p - i); int pos2 = rp % (2 * (z - 1)); if (pos2 >= (z - 1)) pos2 = 2 * (z - 1) - pos2; long long sum = bit[z][i].sum(rp + 1) - bit[z][i].sum(rp); bit[z][i].add(rp + 1, -sum + v * (pos2 + 1)); } } } else { int l, r, z; cin >> l >> r >> z; l--; r--; int index = l % ((z - 1) * 2); int rl = l - index; int rr = r - index; long long sum = bit[z][index].sum(rr + 1) - bit[z][index].sum(rl); cout << sum << endl; } } return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 140005; long long it[maxn * 2 + 10][6][12], bau[100005][6][12]; int to[maxn * 2 + 10], from[maxn * 2 + 10]; long long a[maxn]; int n, m; void read() { scanf("%d", &n); for (int i = 1; i <= n; ++i) scanf("%lld", &a[i]); scanf("%d", &m); } void update(int pos, long long k, int zz, int co) { int idx = from[pos]; while (idx) { it[idx][zz][co] += k; idx = to[idx]; } } long long ask(int l, int r, int l1, int r1, int idx, int zz, int co) { int mid = l1 + r1; mid /= 2; long long ret = 0LL; if (idx > maxn * 2) return 0LL; if (l1 > r1 || l1 < 0 || r1 > 2 * n + 1) return 0LL; if (l1 >= l && r1 <= r) { ret = it[idx][zz][co]; } else if (l1 > r || r1 < l) return 0LL; else if (mid >= r) { ret = ask(l, r, l1, mid, idx * 2, zz, co); } else if (l > mid) ret = ask(l, r, mid + 1, r1, idx * 2 + 1, zz, co); else { ret += ask(l, r, l1, mid, idx * 2, zz, co); ret += ask(l, r, mid + 1, r1, idx * 2 + 1, zz, co); } return ret; } void make(int l, int r, int idx) { if (l == r) { from[l] = idx; return; } to[idx * 2] = idx; to[idx * 2 + 1] = idx; int mid = (l + r) / 2; make(l, mid, idx * 2); make(mid + 1, r, idx * 2 + 1); } void init() { long long tmp, add; to[1] = 0; make(1, n, 1); for (int i = 2; i <= 6; ++i) for (int k = 1; k <= 2 * i - 2; ++k) { tmp = 1; add = 1; for (int j = k; j <= n; ++j) { bau[j][i][k] = tmp; if (tmp == i) { add = -1; } else if (tmp == 1) { add = 1; } tmp += add; } } for (int i = 2; i <= 6; ++i) for (int k = 1; k <= i * 2 - 2; ++k) { for (int j = 1; j <= n; ++j) if (j >= k) { tmp = bau[j][i][k]; update(j, a[j] * tmp, i, k); } } } void update_all(int l, long long x) { long long tmp; for (int i = 2; i <= 6; ++i) for (int k = 1; k <= i * 2 - 2; ++k) if (l >= k) { tmp = bau[l][i][k]; update(l, x * tmp - a[l] * tmp, i, k); } a[l] = x; } long long query(int l, int r, int Z) { long long ret = 0LL; long long tmp = 1, pos = l, add = 1; for (long long i = 1; i <= Z * 2 - 2; ++i) if (bau[l][Z][i] == 1 && i <= l) { ret += ask(l, r, 1, n, 1, Z, i); return ret; } cout << "FUCK" << endl; return 0; } void solve() { int left, right, t, z; long long x; for (int i = 0; i < m; ++i) { scanf("%d", &t); if (t == 1) { scanf("%d%lld", &left, &x); update_all(left, x); } else { scanf("%d%d%d", &left, &right, &z); printf("%lld\n", query(left, right, z)); } } } int main() { read(); init(); solve(); return 0; }
#include <bits/stdc++.h> using namespace std; long long t[100100][10]; const int N = 100005; int a[100100]; int Z[30][10]; int ty[100100]; int x[100100]; int y[100100]; int z[100100]; int olda[100100]; long long ans[100100]; inline void modif(int p, int v, int val) { for (int i = p; i <= N; i += (i & (-i))) t[i][v] += val; } inline long long fsum(int p, int v) { long long res = 0; for (int i = p; i > 0; i -= (i & (-i))) res += t[i][v]; return res; } int main() { for (int z1 = (2); z1 < (7); ++z1) { for (int i = (1); i < (30); ++i) { int k = 2 * (z1 - 1); if (i % k == 0) Z[i - 1][z1] = 2; else if (i % k <= z1) Z[i - 1][z1] = i % k; else Z[i - 1][z1] = 2 * z1 - (i % k); } } int n; scanf("%d", &n); for (int i = (0); i < (n); ++i) { scanf("%d", &a[i]); olda[i] = a[i]; } int q; scanf("%d", &q); for (int i = (0); i < (q); ++i) { int t1; scanf("%d", &t1); ty[i] = t1; if (t1 == 1) scanf("%d%d", &x[i], &y[i]); if (t1 == 2) scanf("%d%d%d", &x[i], &y[i], &z[i]); } for (int Z1 = (2); Z1 < (7); ++Z1) { memset(t, 0, sizeof(t)); for (int i = (0); i < (n); ++i) a[i] = olda[i]; for (int i = (0); i < (n); ++i) { int v = i % (2 * Z1 - 2); modif(i + 1, v, a[i]); } for (int i = (0); i < (q); ++i) { if (ty[i] == 1) { int dif = y[i] - a[x[i] - 1]; modif(x[i], (x[i] - 1) % (2 * Z1 - 2), dif); a[x[i] - 1] = y[i]; } else { if (z[i] != Z1) continue; int l = x[i]; int r = y[i]; int st = (l - 1) % (2 * Z1 - 2); long long res = 0; for (int j = (0); j < (2 * Z1 - 2); ++j) { long long k = fsum(r, st) - fsum(l - 1, st); k *= Z[j][Z1]; res += k; st++; if (st == 2 * Z1 - 2) st = 0; } ans[i] = res; } } } for (int i = (0); i < (q); ++i) if (ty[i] == 2) printf("%I64d\n", ans[i]); return 0; }
#include <bits/stdc++.h> using namespace std; const int MAX = 1e5 + 5; int n, m; long long aa[MAX]; long long t[7][10][MAX << 2]; int sz = 1; inline void Modify(int x, int y, int k, long long val) { k = k + sz - 1; t[x][y][k] = val; k >>= 1; while (k) { t[x][y][k] = t[x][y][k << 1] + t[x][y][(k << 1) + 1]; k >>= 1; } } inline long long Query(int x, int y, int k, int l, int r, int a, int b) { if (a > r || b < l) return 0ll; if (a >= l && b <= r) return t[x][y][k]; return Query(x, y, k << 1, l, r, a, (a + b) >> 1) + Query(x, y, (k << 1) + 1, l, r, ((a + b) >> 1) + 1, b); } inline int S(int i, int z) { int mod = 2 * z - 2; if (i % mod == 0) return 2; if (i % mod <= z) return i % mod; return 2 * z - i % mod; } int main() { scanf("%d", &n); for (int i = 1; i <= n; i++) scanf("%I64d", &aa[i]); while (sz < n) sz <<= 1; for (int i = 2; i <= 6; i++) for (int j = 0; j < 2 * i - 2; j++) for (int k = 1; k <= n; k++) Modify(i, j, k, aa[k] * S(j + k, i)); scanf("%d", &m); while (m--) { int op; scanf("%d", &op); if (op == 1) { int k; long long x; scanf("%d%I64d", &k, &x); aa[k] = x; for (int i = 2; i <= 6; i++) for (int j = 0; j < 2 * i - 2; j++) Modify(i, j, k, aa[k] * S(j + k, i)); } else { int l, r, z; scanf("%d%d%d", &l, &r, &z); int mod = 2 * z - 2; printf("%I64d\n", Query(z, (1 - l + mod * n) % mod, 1, l, r, 1, sz)); } } return 0; }
#include <bits/stdc++.h> using namespace std; long long tree[12][5][100001]; int n, a[100001], m, s[12][5][100001]; inline int lowbit(int x) { return x & (-x); } inline void add(long long *c, int p, long long v) { for (int i = p; i <= n; i += lowbit(i)) c[i] += v; } inline long long sum(long long *c, int p) { long long re = 0; for (int i = p; i; i -= lowbit(i)) re += c[i]; return re; } inline int gets(int l, int i, int z) { i += 2 * z - 2; int q = (i - l + 1) % (2 * z - 2); if (q == 0) return 2; if (q < z) return q; return 2 * z - q; } int main() { scanf("%d", &n); for (int i = 1; i <= n; ++i) scanf("%d", a + i); scanf("%d", &m); for (int j = 2; j <= 6; ++j) for (int k = 0; k < j * 2 - 2; ++k) for (int i = 1; i <= n; ++i) { s[k][j - 2][i] = gets(k, i, j); add(tree[k][j - 2], i, (long long)(s[k][j - 2][i]) * a[i]); } for (; m--;) { int t; scanf("%d", &t); if (t == 1) { int p, v; scanf("%d %d", &p, &v); for (int i = 2; i <= 6; ++i) for (int j = 0; j < i * 2 - 2; ++j) add(tree[j][i - 2], p, (long long)(v - a[p]) * s[j][i - 2][p]); a[p] = v; } else { int l, r, z; scanf("%d %d %d", &l, &r, &z); printf("%I64d\n", sum(tree[l % (2 * z - 2)][z - 2], r) - sum(tree[l % (2 * z - 2)][z - 2], l - 1)); } } return 0; }
#include <bits/stdc++.h> using namespace std; int n, m; long long a[100010]; long long tree[265000][30]; int v[100010][30]; int where(int l, int z) { if (z == 2) { if (l % 2 == 1) return 0; else return 1; } else if (z == 3) { for (int i = 0; i < (2 * 3 - 2); i++) { if (l % 4 == i) return 2 + i; } } else if (z == 4) { for (int i = 0; i < (2 * 4 - 2); i++) { if (l % 6 == i) return 6 + i; } } else if (z == 5) { for (int i = 0; i < (2 * 5 - 2); i++) { if (l % 8 == i) return 12 + i; } } else if (z == 6) { for (int i = 0; i < (2 * 6 - 2); i++) { if (l % 10 == i) return 20 + i; } } } void build(int id, int l, int r, int t) { if (l == r) { tree[id][t] = v[l][t] * a[l - 1]; return; } int h = (l + r) >> 1; build(2 * id, l, h, t); build(2 * id + 1, h + 1, r, t); tree[id][t] = tree[2 * id][t] + tree[2 * id + 1][t]; } void update(int id, int l, int r, int lt, int rt, int val, int t) { if (l > rt || r < lt) return; if (l >= lt && r <= rt) { tree[id][t] = (long long)v[l][t] * val; return; } int h = (l + r) >> 1; update(2 * id, l, h, lt, rt, val, t); update(2 * id + 1, h + 1, r, lt, rt, val, t); tree[id][t] = tree[2 * id][t] + tree[2 * id + 1][t]; } long long get(int id, int l, int r, int lt, int rt, int t) { if (l > rt || r < lt) return 0; if (l >= lt && r <= rt) { return tree[id][t]; } int h = (l + r) >> 1; long long sum = 0; sum += get(2 * id, l, h, lt, rt, t); sum += get(2 * id + 1, h + 1, r, lt, rt, t); return sum; } int main() { cin >> n; for (int i = 0; i < n; i++) { scanf("%I64d", a + i); } for (int i = 2; i <= 6; i++) { for (int j = 1; j <= (2 * i - 2); j++) { int h = where(j, i); for (int k = j; k <= n; k++) { if ((k - j + 1) % (2 * (i - 1)) == 0) v[k][h] = 2; else if ((k - j + 1) % (2 * (i - 1)) > 0 && (k - j + 1) % (2 * (i - 1)) <= i) v[k][h] = (k - j + 1) % (2 * (i - 1)); else v[k][h] = 2 * i - (k - j + 1) % (2 * (i - 1)); } build(1, 1, n, h); } } int q; cin >> q; for (int i = 0; i < q; i++) { int type; scanf("%d", &type); if (type == 1) { int p, val; scanf("%d%d", &p, &val); for (int ii = 2; ii <= 6; ii++) { for (int j = 1; j <= (2 * ii - 2); j++) { int h = where(j, ii); if (p >= j) update(1, 1, n, p, p, val, h); } } } else { int l, r, z; scanf("%d%d%d", &l, &r, &z); int h = where(l, z); printf("%I64d\n", get(1, 1, n, l, r, h)); } } return 0; }
#include <bits/stdc++.h> using namespace std; const int MAX = int(1e5) + 10; const long long oo = (1LL << 60); int N; struct bit { long long T[MAX]; void put(int p, long long v) { for (; p <= N; p += p & -p) T[p] += v; } long long get(int p) { long long sum = 0; for (; p; p -= p & -p) sum += T[p]; return sum; } }; bit A[7][11]; long long a[MAX]; int mod(int x, int m) { x %= m; return x < 0 ? x + m : x; } int func(int r, int z) { if (r == 0) return 2; if (r <= z) return r; return 2 * z - r; } int main() { scanf("%d", &N); for (int i = 1; i <= N; i++) scanf("%I64d", a + i); for (int z = 2; z <= 6; z++) for (int r = 0; r < 2 * (z - 1); r++) for (int i = 1; i <= N; i++) { int rr = mod(i - 1 + r, 2 * (z - 1)); long long v = a[i] * func(rr, z); A[z][r].put(i, v); } int Q; scanf("%d", &Q); int typ, p, v, lo, hi, r, rr, z; while (Q--) { scanf("%d", &typ); if (typ == 1) { scanf("%d%d", &p, &v); for (z = 2; z <= 6; z++) for (r = 0; r < 2 * (z - 1); r++) { rr = mod(p - 1 + r, 2 * (z - 1)); long long tmp = (v - a[p]) * func(rr, z); A[z][r].put(p, tmp); } a[p] = v; } else { scanf("%d%d%d", &lo, &hi, &z); r = mod(2 - lo, 2 * (z - 1)); long long ans = A[z][r].get(hi) - A[z][r].get(lo - 1); printf("%I64d\n", ans); } } return 0; }
#include <bits/stdc++.h> using namespace std; template <typename T, size_t size> class FenwickTree { size_t pow2; T* tree; T SUM(int i) { T res = T(); for (; i; i -= i & (-i)) res += tree[i]; return res; } public: FenwickTree() { for (pow2 = 1; pow2 < size; pow2 <<= 1) continue; tree = new T[pow2]; } void add(int p, const T& x) { for (int i = p; i <= pow2; i += i & (-i)) tree[i] += x; } T query(int l, int r) { return SUM(--r) - SUM(--l); } }; const size_t MAX_N = 1e5 + 5; FenwickTree<long long, MAX_N> segtree[7][11]; long long arr[MAX_N]; inline long long z(int i, int z) { if (i == 2 * z - 2) return 2; if (i % (2 * z - 2) <= z) return i % (2 * z - 2); return 2 * z - i % (2 * z - 2); } inline void modify(int i, long long a) { for (int j = 2, t = 2; j <= 6; j++, t += 2) for (int k = 0; k < t; k++) { segtree[j][(k + t * 60000 - i) % t].add(i, (a - arr[i]) * z(k + 1, j)); } arr[i] = a; } int main() { int n, m, t, p, v, l, r, z, a; scanf("%d", &n); for (int i = 1; i <= n; i++) { scanf("%d", &a); modify(i, a); } scanf("%d", &m); while (m-- && scanf("%d", &t) == 1) if (t == 1) { scanf("%d%d", &p, &v); modify(p, v); } else { scanf("%d%d%d", &l, &r, &z); t = 2 * z - 2; printf("%I64d\n", segtree[z][(t * 60000 - l) % t].query(l, r + 1)); } }
#include <bits/stdc++.h> using namespace std; struct FenwickTree { long long n; vector<long long> ft; FenwickTree() : n(), ft() {} FenwickTree(long long n) : n(n) { ft.assign(n + 5, 0); } void update(long long p, long long val) { for (p++; p < n; p += p & (-p)) ft[p] += val; } long long query(long long p) { long long res = 0; for (p++; p; p -= p & (-p)) res += ft[p]; return res; } long long query(long long l, long long r) { return query(r) - query(l - 1); } }; long long n, A[100022]; long long S[7][100022]; FenwickTree ft[7][11]; signed main() { ios::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); for (long long k = 2; k < 7; k++) { for (long long i = 0; i < 100022; i++) { long long x = (i + 1) % (2 * (k - 1)); if (x == 0) S[k][i] = 2; else if (x <= k) S[k][i] = x; else S[k][i] = 2 * k - x; } for (long long i = 0; i < 2 * (k - 1); i++) { ft[k][i] = FenwickTree(100022); } } cin >> n; for (long long i = 0; i < n; i++) { cin >> A[i]; for (long long z = 2; z < 7; z++) { for (long long k = 0; k < 2 * (z - 1); k++) { ft[z][k].update(i, A[i] * S[z][i + k]); } } } long long m; cin >> m; while (m--) { long long typ; cin >> typ; if (typ == 1) { long long p, v; cin >> p >> v; p--; for (long long z = 2; z < 7; z++) { for (long long k = 0; k < 2 * (z - 1); k++) { ft[z][k].update(p, -A[p] * S[z][p + k]); ft[z][k].update(p, v * S[z][p + k]); } } A[p] = v; } else { long long l, r, z; cin >> l >> r >> z; l--; r--; long long k = 2 * (z - 1); cout << ft[z][(k - l % k) % k].query(l, r) << endl; } } return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 1e5 + 10; int d[4][2] = {1, 0, -1, 0, 0, 1, 0, -1}; long long sum[maxn << 2][7][11]; int a[maxn], val[maxn << 2], xs[7][12], sz[7] = {0, 0, 2, 4, 6, 8, 10}; void pushup(int rt, int L, int R) { int mid = (L + R) >> 1; for (int i = 2; i <= 6; i++) for (int j = 1; j <= sz[i]; j++) sum[rt][i][j] = sum[rt << 1][i][j] + sum[(rt << 1) + 1][i][((j + mid - L + 1) % sz[i] == 0) ? sz[i] : ((j + mid - L + 1) % sz[i])]; } void build(int rt, int L, int R) { if (L == R) { val[L] = a[L]; for (int i = 2; i <= 6; i++) for (int j = 1; j <= sz[i]; j++) sum[rt][i][j] = 1LL * val[L] * xs[i][j]; return; } int mid = (L + R) >> 1; build(rt << 1, L, mid); build((rt << 1) + 1, mid + 1, R); pushup(rt, L, R); } void update(int rt, int L, int R, int pos, int v) { if (L == R) { val[L] = v; for (int i = 2; i <= 6; i++) for (int j = 1; j <= sz[i]; j++) sum[rt][i][j] = 1LL * val[L] * xs[i][j]; return; } int mid = (L + R) >> 1; if (pos <= mid) update(rt << 1, L, mid, pos, v); else update((rt << 1) + 1, mid + 1, R, pos, v); pushup(rt, L, R); } long long query(int rt, int L, int R, int l, int r, int z) { if (l <= L && r >= R) { return sum[rt][z] [((L - l + 1) % sz[z] == 0) ? sz[z] : ((L - l + 1) % sz[z])]; } int mid = (L + R) >> 1; if (r <= mid) return query(rt << 1, L, mid, l, r, z); else if (l >= mid + 1) return query((rt << 1) + 1, mid + 1, R, l, r, z); else return query(rt << 1, L, mid, l, r, z) + query((rt << 1) + 1, mid + 1, R, l, r, z); } int main() { xs[2][1] = 1, xs[2][2] = 2; xs[3][1] = 1, xs[3][2] = 2; xs[3][3] = 3, xs[3][4] = 2; xs[4][1] = 1, xs[4][2] = 2; xs[4][3] = 3, xs[4][4] = 4; xs[4][5] = 3, xs[4][6] = 2; xs[5][1] = 1, xs[5][2] = 2; xs[5][3] = 3, xs[5][4] = 4; xs[5][5] = 5, xs[5][6] = 4; xs[5][7] = 3, xs[5][8] = 2; xs[6][1] = 1, xs[6][2] = 2; xs[6][3] = 3, xs[6][4] = 4; xs[6][5] = 5, xs[6][6] = 6; xs[6][7] = 5, xs[6][8] = 4, xs[6][9] = 3; xs[6][10] = 2; int n, m; scanf("%d", &n); for (int i = 1; i <= n; i++) scanf("%d", &(a[i])); build(1, 1, n); scanf("%d", &m); while (m--) { int op, l, r, z, p, v; scanf("%d", &op); if (op == 1) { scanf("%d%d", &p, &v); update(1, 1, n, p, v); } else { scanf("%d%d%d", &l, &r, &z); printf("%I64d\n", query(1, 1, n, l, r, z)); } } return 0; }
#include <bits/stdc++.h> using namespace std; int n, m, aa, b, c, d; long long a[100001]; long long z(int s, int x) { long long k = (s % (2 * (x - 1))); if (!k) return 2ll; if (k <= x) return k; return 2ll * x - k; } struct fenvick_tree { long long f[100001]; void update(int r, long long s) { for (int i = r; i <= n; i = (i | (i + 1))) f[i] += s; } long long sum(int r) { long long res = 0ll; for (int i = r; i > 0; i = (i & (i + 1)) - 1) res += f[i]; return res; } long long getsum(int l, int r) { return sum(r) - sum(l - 1); } } fen[12][12]; void add(int ind, long long s) { a[ind] += s; for (int i = 2; i <= 6; ++i) for (int j = 1; j <= 2 * (i - 1); ++j) fen[i][j].update(ind, s * z(j + ind - 1, i)); } long long query(int l, int r, int z) { int ans = 0; for (int i = 1; i <= 2 * (z - 1); ++i) if ((i + l - 1) % (2 * (z - 1)) == 1) { ans = i; break; } return fen[z][ans].getsum(l, r); } int main() { scanf("%d", &n); long long w; for (int i = 1; i <= n; ++i) { cin >> w; add(i, w); } scanf("%d", &m); while (m--) { cin >> aa >> b >> c; if (aa == 1) add(b, c - a[b]); else { cin >> d; cout << query(b, c, d) << '\n'; } } }
#include <bits/stdc++.h> using namespace std; const int N = 101000; int n, m, x[N], px, val, nrel[3 * N], py, poo; long long sum[7][11][3 * N]; void update(int nod, int pozx, int pozy) { int i, j; if (pozx == pozy) { nrel[nod] = 1; for (i = 2; i <= 6; ++i) for (j = 0; j < 2 * i - 2; ++j) { if (!j) sum[i][j][nod] = 1LL * 2 * val; else if (j < i) sum[i][j][nod] = 1LL * j * val; else sum[i][j][nod] = 1LL * (2 * i - j) * val; } return; } int mid = (pozx + pozy) / 2; if (mid < px) update(2 * nod + 1, mid + 1, pozy); else update(2 * nod, pozx, mid); nrel[nod] = nrel[2 * nod + 1] + nrel[2 * nod]; for (i = 2; i <= 6; ++i) for (j = 0; j < 2 * i - 2; ++j) sum[i][j][nod] = sum[i][j][2 * nod] + sum[i][(j + nrel[2 * nod]) % (2 * i - 2)][2 * nod + 1]; } long long query(int nod, int pozx, int pozy, int zig, int po) { if (px <= pozx && pozy <= py) return sum[zig][po][nod]; int mid = (pozx + pozy) / 2; if (mid < px) return query(2 * nod + 1, mid + 1, pozy, zig, po); if (mid >= py) return query(2 * nod, pozx, mid, zig, po); return query(2 * nod, pozx, mid, zig, po) + query(2 * nod + 1, mid + 1, pozy, zig, (mid - px + 2) % (2 * zig - 2)); } int main() { int i, op, zig; cin >> n; for (i = 1; i <= n; ++i) { cin >> x[i]; px = i; val = x[i]; update(1, 1, n); } cin >> m; for (i = 1; i <= m; ++i) { cin >> op; if (op == 1) { cin >> px >> val; update(1, 1, n); } else { cin >> px >> py >> zig; cout << query(1, 1, n, zig, 1) << "\n"; } } return 0; }
#include <bits/stdc++.h> using namespace std; long long fpm(long long b, long long e, long long m) { long long t = 1; for (; e; e >>= 1, b = b * b % m) e & 1 ? t = t * b % m : 0; return t; } template <class T> inline bool chkmin(T &a, T b) { return a < b ? a = b, true : false; } template <class T> inline bool chkmax(T &a, T b) { return a > b ? a = b, true : false; } template <class T> inline T sqr(T x) { return x * x; } template <class edge> struct Graph { vector<vector<edge> > adj; Graph(int n) { adj.clear(); adj.resize(n + 5); } void adde(int s, edge e) { adj[s].push_back(e); } typename vector<edge>::iterator operator[](int t) { return adj[t].begin(); } }; const int maxn = 110000; int n; long long bit[33][maxn]; int a[maxn]; void modify(long long *bit, int x, int v) { for (; x <= n; x += x & -x) bit[x] += v; } long long query(long long *bit, int x) { long long t = 0; for (; x; x &= x - 1) t += bit[x]; return t; } int main() { ios_base::sync_with_stdio(false); cin >> n; for (int i = 1; i <= n; ++i) { cin >> a[i]; for (int j = 2; j <= 6; ++j) modify(bit[(((j)-2) * ((j)-1) + ((((i)-1) % (2 * (j)-2))))], i, a[i]); } int m, cmd, l, r, z; cin >> m; for (; m--;) { cin >> cmd; if (cmd == 1) { int p, v; cin >> p >> v; for (int j = 2; j <= 6; ++j) modify(bit[(((j)-2) * ((j)-1) + ((((p)-1) % (2 * (j)-2))))], p, v - a[p]); a[p] = v; } else { cin >> l >> r >> z; long long ans = 0; for (int k = 0; k < 2 * z - 2; ++k) { int nk = (l - 1 + k) % (2 * z - 2); ans += (query(bit[(((z)-2) * ((z)-1) + (nk))], r) - query(bit[(((z)-2) * ((z)-1) + (nk))], l - 1)) * (k >= z ? (2 * z - 1 - k) : (k + 1)); } cout << ans << endl; } } return 0; }
#include <bits/stdc++.h> using namespace std; struct node { int x, y; long long s[7][10]; }; int n, m, x, y, z, op; int len[10]; node T[270000]; int Z(int x, int y) { if (y < x) return y + 1; return len[x] - y + 1; } void build(int d, int x, int y) { T[d].x = x; T[d].y = y; int l, r, w; l = d << 1; r = l + 1; w = y - x + 1; if (x != y) { build(l, x, (x + y) / 2); build(r, (x + y) / 2 + 1, y); for (int i = (2); i <= (6); i++) for (int j = (0); j < (len[i]); j++) T[d].s[i][j] = T[l].s[i][j] + T[r].s[i][(j + (w + 1) / 2) % len[i]]; } else { scanf("%d", &w); for (int i = (2); i <= (6); i++) for (int j = (0); j < (len[i]); j++) T[d].s[i][j] = w * 1LL * Z(i, j); } } void update(int d, int x, int v) { if (T[d].x == T[d].y) { for (int i = (2); i <= (6); i++) for (int j = (0); j < (len[i]); j++) T[d].s[i][j] = v * 1LL * Z(i, j); } else { int l = d * 2, r = l + 1, w = T[d].y - T[d].x + 1; if (x <= T[l].y) update(l, x, v); else update(r, x, v); for (int i = (2); i <= (6); i++) for (int j = (0); j < (len[i]); j++) T[d].s[i][j] = T[l].s[i][j] + T[r].s[i][(j + (w + 1) / 2) % len[i]]; } } long long query(int d, int x, int y, int z, int t) { if (x <= T[d].x && y >= T[d].y) { return T[d].s[z][t]; } else { long long res = 0; int l = d * 2, r = l + 1, w = T[d].y - T[d].x + 1; if (x < T[d].x) x = T[d].x; if (y > T[d].y) y = T[d].y; if (x <= T[l].y) res += query(l, x, y, z, t); if (y > T[l].y) { if (x >= T[r].x) res += query(r, x, y, z, t); else res += query(r, x, y, z, (t + T[r].x - x) % len[z]); } return res; } } int main() { for (int i = (2); i <= (6); i++) len[i] = (i - 1) * 2; scanf("%d", &n); build(1, 1, n); scanf("%d", &m); while (m--) { scanf("%d%d%d", &op, &x, &y); if (op == 1) update(1, x, y); if (op == 2) { scanf("%d", &z); printf("%I64d\n", query(1, x, y, z, 0)); } } return 0; }
#include <bits/stdc++.h> using namespace std; int n, m; int a[100011], zig[7][100011]; long long fen[7][14][100011]; void upd(long long *f, int pos, long long x) { for (int i = pos; i <= n; i += i & (-i)) f[i] += x; } long long sum(long long *f, int pos) { long long res = 0; for (int i = pos; i > 0; i -= i & (-i)) res += f[i]; return res; } long long get(long long *f, int l, int r) { return sum(f, r) - sum(f, l - 1); } long long getf(int k, int z) { if (k == 0) return 2; if (k > 0 && k <= z) return k; if (k > z) return 2 * z - k; } int main() { cin >> n; for (int i = 1; i <= n; i++) cin >> a[i]; for (int z = 2; z <= 6; z++) { for (int i = 1; i <= n + 10; i++) { int k = i % (2 * (z - 1)); int j = getf(k, z); k = (i - 1) % (2 * z - 2); zig[z][i] = j; upd(fen[z][k], i, a[i]); } } cin >> m; for (int i = 0; i < m; i++) { int t; cin >> t; if (t == 1) { int p, v; cin >> p >> v; for (int j = 2; j <= 6; j++) { int k = (p - 1) % (2 * j - 2); long long cur = get(fen[j][k], p, p); upd(fen[j][k], p, v - cur); } a[p] = v; } else { int l, r, z; cin >> l >> r >> z; long long res = 0; int kf = (l - 1) % (2 * (z - 1)); kf = kf + 1; kf += 2 * z - 2 * kf; for (int j = 0; j < 2 * (z - 1); j++) { int koef = zig[z][kf + j]; res += get(fen[z][j], l, r) * koef; } cout << res << "\n"; } } return 0; }
#include <bits/stdc++.h> using namespace std; int getSi(int i, int z) { int t = i % ((z - 1) << 1); if (t == 0) return 2; else if (t <= z) return t; else return (z << 1) - t; } int seq[100005]; struct node { int l, r; long long sum[7][7 << 1]; }; struct node segTree[100005 * 3]; inline int leftChild(int i) { return i << 1; } inline int rightChild(int i) { return (i << 1) | 1; } void build(int index, int lb, int rb) { if (lb > rb) { return; } segTree[index].l = lb; segTree[index].r = rb; if (lb == rb) { int num; scanf("%d", &num); seq[lb] = num; for (int i = 2; i < 7; i++) { int m = ((i - 1) << 1); for (int j = 1; j <= m; j++) { if (lb < j) segTree[index].sum[i][j] = 0; else segTree[index].sum[i][j] = (long long)num * getSi((lb - j + 1), i); } } return; } int mid = ((lb + rb) >> 1); build(leftChild(index), lb, mid); build(rightChild(index), mid + 1, rb); for (int i = 2; i < 7; i++) { int m = ((i - 1) << 1); for (int j = 1; j <= m; j++) { segTree[index].sum[i][j] = segTree[leftChild(index)].sum[i][j] + segTree[rightChild(index)].sum[i][j]; } } } void update(int index, int pos, int oldvalue, int newvalue) { for (int i = 2; i < 7; i++) { int m = ((i - 1) << 1); for (int j = 1; j <= m; j++) { if (pos >= j) { segTree[index].sum[i][j] += (long long)(newvalue - oldvalue) * getSi((pos - j + 1), i); } } } if (segTree[index].l == segTree[index].r) { return; } int mid = ((segTree[index].l + segTree[index].r) >> 1); if (pos <= mid) { update(leftChild(index), pos, oldvalue, newvalue); } else { update(rightChild(index), pos, oldvalue, newvalue); } } long long query(int index, int lb, int rb, int z, int startPos) { if (segTree[index].l >= lb && segTree[index].r <= rb) return segTree[index].sum[z][startPos]; int mid = ((segTree[index].l + segTree[index].r) >> 1); if (rb <= mid) return query(leftChild(index), lb, rb, z, startPos); if (lb > mid) return query(rightChild(index), lb, rb, z, startPos); return query(leftChild(index), lb, mid, z, startPos) + query(rightChild(index), mid + 1, rb, z, startPos); } long long solve(int lb, int rb, int z) { int startPos = lb % ((z - 1) << 1); if (startPos == 0) startPos = ((z - 1) << 1); return query(1, lb, rb, z, startPos); } int main() { int n, m; scanf("%d", &n); build(1, 1, n); scanf("%d", &m); int t, l, r, z; for (int i = 0; i < m; i++) { scanf("%d%d%d", &t, &l, &r); if (t == 1) { update(1, l, seq[l], r); seq[l] = r; } else { scanf("%d", &z); cout << solve(l, r, z) << endl; } } return 0; }
#include <bits/stdc++.h> using namespace std; long long a, b, c, d[100007], n, m, T[5][100007 << 2][12], R[100007 << 2], type, ans, sm; void combine(long long z, long long v) { long long tr = R[v << 1] % (((z + 2) << 1) - 2); for (long long i = 0; i < ((z + 2) << 1) - 2; i++) T[z][v][i] = T[z][v << 1][i] + T[z][v << 1 | 1][(i - tr + (4 * z + 8 - 4)) % (((z + 2) << 1) - 2)]; } void form_tree(long long l, long long r, long long v, long long z) { if (l == r) { R[v] = 1; T[z][v][0] = d[l]; return; } form_tree(l, ((l + r) >> 1), v << 1, z); form_tree(((l + r) >> 1) + 1, r, v << 1 | 1, z); R[v] = R[v << 1] + R[v << 1 | 1]; combine(z, v); } void upd(long long x, long long y, long long l, long long r, long long v, long long z) { if (l == r) { T[z][v][0] = y; return; } if (x <= ((l + r) >> 1)) upd(x, y, l, ((l + r) >> 1), v << 1, z); else upd(x, y, ((l + r) >> 1) + 1, r, v << 1 | 1, z); combine(z, v); } long long bul(long long x, long long y, long long l, long long r, long long v, long long z, long long w) { if (y < l || r < x) return 0; if (x <= l && r <= y) { sm += r - l + 1; return T[z][v][(w - ((sm - (r - l + 1)) % (((z + 2) << 1) - 2)) + (4 * z + 8 - 4)) % (((z + 2) << 1) - 2)]; } return (bul(x, y, l, ((l + r) >> 1), v << 1, z, w) + bul(x, y, ((l + r) >> 1) + 1, r, v << 1 | 1, z, w)); } int main() { scanf("%lld", &n); for (long long i = 1; i <= n; i++) scanf("%lld", &d[i]); for (long long i = 0; i < 5; i++) form_tree(1, n, 1, i); scanf("%lld", &m); while (m--) { scanf("%lld%lld%lld", &type, &a, &b); if (type == 2) { scanf("%lld", &c); ans = 0; for (long long i = 1; i <= c; i++) { sm = 0; ans += (bul(a, b, 1, n, 1, c - 2, i - 1) * i); } long long cn = 1; for (int i = (c << 1) - 2; i > c; i--) { cn++; sm = 0; ans += (bul(a, b, 1, n, 1, c - 2, i - 1) * cn); } printf("%lld\n", ans); } else { for (long long i = 0; i < 5; i++) upd(a, b, 1, n, 1, i); } } return 0; }
#include <bits/stdc++.h> using namespace std; int n, q; int a[100048]; long long c[12][12][100048]; void update(int x, int y, int pos, int delta) { while (pos <= n) { c[x][y][pos] += delta; pos += pos & (-pos); } } long long query(int x, int y, int pos) { long long res = 0; while (pos > 0) { res += c[x][y][pos]; pos -= pos & (-pos); } return res; } int main() { int i, j, m, t, x, y, z, x1, y1, d, p; long long ans, coef; scanf("%d", &n); for (i = 1; i <= n; i++) scanf("%d", &a[i]); for (m = 2; m <= 10; m += 2) for (i = 1; i <= n; i++) update(m, i % m, i, a[i]); scanf("%d", &q); for (i = 1; i <= q; i++) { scanf("%d%d%d", &t, &x, &y); if (t == 1) { d = y - a[x]; a[x] = y; for (m = 2; m <= 10; m += 2) update(m, x % m, x, d); } else { scanf("%d", &z); ans = 0; for (j = 0; j <= 2 * (z - 1) - 1; j++) { coef = (j == 0) ? 2 : min(j, 2 * z - j); ans += coef * (query(2 * (z - 1), (x + j - 1) % (2 * (z - 1)), y) - query(2 * (z - 1), (x + j - 1) % (2 * (z - 1)), x - 1)); } printf("%I64d\n", ans); } } return 0; }
#include <bits/stdc++.h> using namespace std; long long int n, q, tipo; long long int Z[7][13][100003]; long long int BIT[7][13][100003]; long long int v[100003]; void update(long long int b, long long int s, long long int u, long long int x) { for (long long int i = u; i <= n; i += i & -i) BIT[b][s][i] += x; } long long int query(long long int b, long long int s, long long int u) { long long int res = 0; for (long long int i = u; i; i -= i & -i) res += BIT[b][s][i]; return res; } int main() { for (long long int z = 2; z <= 6; z++) { for (long long int i = 1; i < 100003; i++) { long long int &S = Z[z][0][i]; if ((i % (2 * z - 2)) == 0) S = 2; else if (0 < (i % (2 * z - 2)) and (i % (2 * z - 2)) <= z) S = (i % (2 * z - 2)); else S = 2 * z - (i % (2 * z - 2)); } for (long long int s = 1; s < 13; s++) { for (long long int i = 1; i < 100002; i++) Z[z][s][i] = Z[z][s - 1][i + 1]; Z[z][s][100002] = Z[z][s][100001 % (2 * z - 2) + 1]; } } memset(BIT, 0, sizeof(BIT)); cin >> n; for (long long int i = 1; i <= n; i++) { long long int t; cin >> t; v[i] = t; for (long long int z = 2; z <= 6; z++) for (long long int s = 0; s < 13; s++) update(z, s, i, (long long int)t * (long long int)Z[z][s][i]); } cin >> q; long long int aimprimir = 1; while (q--) { cin >> tipo; if (tipo == 1) { long long int p, val; cin >> p >> val; v[p] = val; for (long long int z = 2; z <= 6; z++) for (long long int s = 0; s < 13; s++) { long long int atu = query(z, s, p) - query(z, s, p - 1); long long int qro = (long long int)val * (long long int)Z[z][s][p]; update(z, s, p, qro - atu); } } else { long long int l, r, z; cin >> l >> r >> z; long long int s; for (s = 0; s < 13; s++) if (Z[z][s][l] == 1 and Z[z][s][l + 1] == 2) break; if (s == 13) assert(1 == 2); long long int resp = query(z, s, r) - query(z, s, l - 1); cout << resp << endl; aimprimir++; } } return 0; }
#include <bits/stdc++.h> const int maxn = 100005; long long sgt[maxn * 4][5][10]; int n, m; void update(int flag, int lower, int upper, int mid) { for (int i = 2; i <= 6; ++i) { for (int j = 0; j < 2 * i - 2; ++j) { sgt[flag][i - 2][j] = sgt[flag * 2][i - 2][j] + sgt[flag * 2 + 1][i - 2][(j + mid - lower + 1) % (2 * i - 2)]; } } } void insert(int flag, int lower, int upper, int pos, int key) { if (lower == upper) { for (int i = 0; i < 5; ++i) sgt[flag][i][1] = key; return; } int mid = (lower + upper) >> 1; if (pos <= mid) insert(flag * 2, lower, mid, pos, key); else insert(flag * 2 + 1, mid + 1, upper, pos, key); update(flag, lower, upper, mid); } long long query(int flag, int lower, int upper, int st, int ed, int z, int dep) { if (lower == st && upper == ed) return sgt[flag][z - 2][dep]; int mid = (lower + upper) >> 1; if (ed <= mid) return query(flag * 2, lower, mid, st, ed, z, dep); else if (st > mid) return query(flag * 2 + 1, mid + 1, upper, st, ed, z, dep); else return query(flag * 2, lower, mid, st, mid, z, dep) + query(flag * 2 + 1, mid + 1, upper, mid + 1, ed, z, (dep + mid - st + 1) % (2 * z - 2)); } int main() { scanf("%d", &n); for (int i = 1; i <= n; ++i) { int x; scanf("%d", &x); insert(1, 1, n, i, x); } scanf("%d", &m); while (m--) { int x, y, z, d; scanf("%d", &d); if (d == 1) { scanf("%d%d", &x, &y); insert(1, 1, n, x, y); } else { scanf("%d%d%d", &x, &y, &z); long long ans = query(1, 1, n, x, y, z, 0) * 2; for (int i = 1; i < 2 * z - 2; ++i) { if (i <= z) ans += query(1, 1, n, x, y, z, i) * i; else ans += query(1, 1, n, x, y, z, i) * (2 * z - i); } printf("%I64d\n", ans); } } return 0; }
#include <bits/stdc++.h> using namespace std; const int inf = 1e9 + 100500; const int maxn = 100500; char zig[maxn][7][10]; int n; void genZigs() { int n = maxn; for (int z = (int)(2); z <= (int)(6); z++) { for (int i = 0; i < (int)(n); i++) { int t = (i + 1) % (2 * z - 2); if (t == 0) zig[i][z][0] = 2; else if (t <= z) zig[i][z][0] = t; else zig[i][z][0] = 2 * z - t; } for (int p = 1; p < 2 * z - 2; p++) for (int i = (int)(p); i <= (int)(n - 1); i++) zig[i][z][p] = zig[i - p][z][0]; } } long long fen[maxn][7][20]; void add(int i, long long x, int b, int c) { for (; i < maxn; i |= (i + 1)) fen[i][b][c] += x; } long long get(int i, int b, int c) { long long s = 0; for (; i >= 0; i = (i & (i + 1)) - 1) s += fen[i][b][c]; return s; } long long get(int l, int r, int b, int c) { return get(r, b, c) - (l ? get(l - 1, b, c) : 0); } int a[maxn]; void mset(int i, int x) { for (int z = (int)(2); z <= (int)(6); z++) for (int p = (int)(0); p <= (int)(z * 2 - 3); p++) add(i, (long long)(x - a[i]) * (long long)zig[i][z][p], z, p); a[i] = x; } long long mget(int l, int r, int z) { return get(l, r, z, l % (z * 2 - 2)); } void solve() { cin >> n; genZigs(); for (int i = 0; i < (int)(n); i++) { int x; cin >> x; mset(i, x); } int m; cin >> m; for (int i = 0; i < (int)(m); i++) { int t; cin >> t; if (t == 1) { int p, v; cin >> p >> v; mset(p - 1, v); } else { int l, r, z; cin >> l >> r >> z; cout << mget(l - 1, r - 1, z) << "\n"; } } } void gen() { freopen("input.txt", "w", stdout); int n = 100000; cout << n << endl; for (int i = 0; i < (int)(n); i++) cout << rand() << " "; cout << endl; cout << n << endl; for (int i = 0; i < (int)(n); i++) { if (rand() % 2) { cout << 1 << " " << rand() % n + 1 << " " << rand() << endl; } else { int l = rand() % n, r = rand() % n; if (l > r) swap(l, r); cout << 2 << " " << l + 1 << " " << r + 1 << " " << rand() % 5 + 2 << endl; } } exit(0); } int main() { solve(); return 0; }
#include <bits/stdc++.h> using namespace std; int n, ar[1 << 20]; long long t[7][14][200000]; int tests; int Z[20], coef[20][20]; int ps, val; long long sum(int a, int b, int r) { long long res = 0; for (; r >= 0; r = (r & (r + 1)) - 1) res += t[a][b][r]; return res; } void inc(int a, int b, int i, long long val) { for (; i < 200000; i = (i | (i + 1))) t[a][b][i] += val; } long long sum(int a, int b, int l, int r) { return sum(a, b, r) - sum(a, b, l - 1); } int main() { ios_base::sync_with_stdio(0); cin >> n; for (int i = 0; i < n; i++) { cin >> ar[i]; } for (int i = 1; i <= 6; i++) Z[i] = i * 2 - 2; for (int z = 2; z <= 6; z++) { for (int j = 1; j <= z * 2 - 2; j++) { coef[z][j - 1] = j % (2 * z - 2); if (coef[z][j - 1] > z) coef[z][j - 1] = 2 * z - coef[z][j - 1]; if (coef[z][j - 1] == 0) coef[z][j - 1] = 2; } } for (int i = 0; i < n; i++) { for (int z = 2; z <= 6; z++) for (int rem = 0; rem < 2 * z - 2; rem++) { int trem = i + 2 * z - 2 - rem; trem %= (2 * z - 2); inc(z, rem, i, ar[i] * 1ll * coef[z][trem]); } } cin >> tests; for (; tests; --tests) { int tp; cin >> tp; if (tp == 2) { int l, r, z; cin >> l >> r >> z; --l; --r; long long ans = 0; ans = sum(z, l % (z * 2 - 2), l, r); cout << ans << endl; } else { cin >> ps >> val; --ps; int dif = val - ar[ps]; ar[ps] = val; for (int z = 2; z <= 6; z++) { for (int rem = 0; rem < (z * 2 + 2); rem++) { int trem = ps + z * 2 - 2 - rem; trem %= (z * 2 - 2); inc(z, rem, ps, dif * 1ll * coef[z][trem]); } } } } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 1e5 + 100; long long sum[35][N << 2]; long long val[N], mul[35][N]; int n; inline void pushup(int rt, long long *sum) { sum[rt] = sum[rt << 1] + sum[rt << 1 | 1]; } void build(int l, int r, int rt, long long sum[], long long mul[]) { if (l == r) { sum[rt] = val[l] * mul[l]; return; } int m = (l + r) >> 1; build(l, m, rt << 1, sum, mul); build(m + 1, r, rt << 1 | 1, sum, mul); pushup(rt, sum); } void update(int pos, long long x, int l, int r, int rt, long long sum[], long long mul[]) { if (l == r) { sum[rt] = x * mul[l]; return; } int m = (l + r) >> 1; if (pos <= m) update(pos, x, l, m, rt << 1, sum, mul); else update(pos, x, m + 1, r, rt << 1 | 1, sum, mul); pushup(rt, sum); } long long query(int L, int R, int l, int r, int rt, long long sum[]) { if (L <= l && r <= R) { return sum[rt]; } long long ans = 0; int m = (l + r) >> 1; if (L <= m) ans += query(L, R, l, m, rt << 1, sum); if (R > m) ans += query(L, R, m + 1, r, rt << 1 | 1, sum); return ans; } inline int getid(int l, int z) { int buf = 0; for (int i = 1; i <= int(z - 2); i++) buf += 2 * i; int k = 2 * (z - 1); l = (l - 1) % k + 1; if (l == 1) return l + buf; return k - l + 2 + buf; } int main() { long long a[15]; a[1] = 1, a[2] = 2; for (int i = 1; i <= int(2); i++) for (int j = 1; j <= int(N - 10); j++) mul[i][j] = a[(j - 1 + i - 1) % 2 + 1]; a[3] = 3, a[4] = 2; for (int i = 1; i <= int(4); i++) for (int j = 1; j <= int(N - 10); j++) mul[2 + i][j] = a[(j - 1 + i - 1) % 4 + 1]; a[4] = 4, a[5] = 3, a[6] = 2; for (int i = 1; i <= int(6); i++) for (int j = 1; j <= int(N - 10); j++) mul[6 + i][j] = a[(j - 1 + i - 1) % 6 + 1]; a[5] = 5, a[6] = 4, a[7] = 3, a[8] = 2; for (int i = 1; i <= int(8); i++) for (int j = 1; j <= int(N - 10); j++) mul[12 + i][j] = a[(j - 1 + i - 1) % 8 + 1]; a[6] = 6, a[7] = 5, a[8] = 4, a[9] = 3, a[10] = 2; for (int i = 1; i <= int(10); i++) for (int j = 1; j <= int(N - 10); j++) mul[20 + i][j] = a[(j - 1 + i - 1) % 10 + 1]; cin >> n; for (int i = 1; i <= int(n); i++) scanf("%I64d", &val[i]); for (int i = 1; i <= int(30); i++) build(1, n, 1, sum[i], mul[i]); int Q; cin >> Q; for (int i = 1; i <= int(Q); i++) { int op; scanf("%d", &op); if (op == 1) { int pos; long long x; scanf("%d%I64d", &pos, &x); for (int i = 1; i <= int(30); i++) update(pos, x, 1, n, 1, sum[i], mul[i]); } else { int l, r, z; scanf("%d%d%d", &l, &r, &z); int id = getid(l, z); printf("%I64d\n", query(l, r, 1, n, 1, sum[id])); } } }
#include <bits/stdc++.h> #pragma comment(linker, "/STACK:100000000,100000000") using namespace std; const long long inf = 1e9 + 7; const long long mod = 1e9 + 7; const double eps = 1e-9; const double PI = 2 * acos(0.0); const double E = 2.71828; struct SegTree { long long* t; void build(long long pos, long long L, long long R, long long a[]) { if (L > R) return; if (L == R) t[pos] = a[L]; else { long long Mid = (L + R) / 2; build(pos * 2, L, Mid, a); build(pos * 2 + 1, Mid + 1, R, a); t[pos] = t[pos * 2] + t[pos * 2 + 1]; } } long long get(long long pos, long long tl, long long tr, long long L, long long R) { if (L > R) return 0; if (L == tl && R == tr) return t[pos]; long long Mid = (tl + tr) / 2; long long i = get(pos * 2, tl, Mid, L, min(Mid, R)); long long j = get(pos * 2 + 1, Mid + 1, tr, max(L, Mid + 1), R); return i + j; } void update(long long pos, long long tl, long long tr, long long P, long long val) { if (tl == tr) t[pos] = val; else { long long Mid = (tl + tr) / 2; if (P <= Mid) update(pos * 2, tl, Mid, P, val); else update(pos * 2 + 1, Mid + 1, tr, P, val); t[pos] = t[pos * 2] + t[pos * 2 + 1]; } } } t[7][14]; long long aa[100001], bb[100001], A[7][14][100001], C[7][100001]; int main(void) { long long n; cin >> n; for (int i = 0; i < n; i++) { scanf("%I64d", &aa[i]); } for (int i = 2; i <= 6; i++) { for (int y = 1; y <= i; y++) { long long u = 1, h = y - 1; for (int j = 0; j <= n; j++) { h += u; if (h == i) u = -1; if (h == 1) u = 1; bb[j] = h * aa[j]; A[i][y][j] = h; if (h == 1) C[i][j] = y; } t[i][y].t = new long long[4 * n + 1]; t[i][y].build(1, 0, n - 1, bb); } for (int y = 1; y < i; y++) { long long u = -1, h = i - y + 1; for (int j = 0; j <= n; j++) { h += u; if (h == i) u = -1; if (h == 1) u = 1; bb[j] = h * aa[j]; A[i][y + i][j] = h; if (h == 1) C[i][j] = y + i; } t[i][i + y].t = new long long[4 * n + 1]; t[i][i + y].build(1, 0, n - 1, bb); } } long long m; cin >> m; for (int i = 0; i < m; i++) { long long T; scanf("%I64d", &T); if (T == 1) { long long a, b; scanf("%I64d%I64d", &a, &b); a--; ; ; ; for (int j = 2; j <= 6; j++) { for (int y = 1; y <= j; y++) { t[j][y].update(1, 0, n - 1, a, b * A[j][y][a]); } for (int y = 1; y < j; y++) { t[j][j + y].update(1, 0, n - 1, a, b * A[j][j + y][a]); } } } else { long long a, b, c; scanf("%I64d%I64d%I64d", &a, &b, &c); a--, b--; long long w1 = C[c][a]; printf("%I64d\n", t[c][w1].get(1, 0, n - 1, a, b)); } } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 100005; int a[N], n; long long bit[30][N]; void add(int x, long long v, long long *b) { while (x <= n) { b[x] += v; x += x & -x; } } long long ask(int x, long long *b) { long long ret = 0; while (x) { ret += b[x]; x -= x & -x; } return ret; } long long ask(int x, int y, long long *b) { return ask(y, b) - ask(x - 1, b); } inline int getseq(int z, int v) { if (z == 2) return v % 2; if (z == 3) return v % 4 + 2; if (z == 4) return v % 6 + 6; if (z == 5) return v % 8 + 12; return v % 10 + 20; } int main(void) { int m; scanf("%d", &n); for (int i = 1; i <= n; i++) scanf("%d", &a[i]); for (int i = 1; i <= n; i++) for (int z = 2; z <= 6; z++) add(i, a[i], bit[getseq(z, i)]); scanf("%d", &m); for (int i = 1; i <= m; i++) { int t, x, v, l, r, z; scanf("%d", &t); if (t == 1) { scanf("%d%d", &x, &v); v = v - a[x]; a[x] += v; for (z = 2; z <= 6; z++) add(x, v, bit[getseq(z, x)]); } else { scanf("%d%d%d", &l, &r, &z); long long ans = 0; for (int j = 1; j < z; j++) ans += j * ask(l, r, bit[getseq(z, l + j - 1)]); for (int j = z; j > 1; j--) ans += j * ask(l, r, bit[getseq(z, l + 2 * z - j - 1)]); printf("%I64d\n", ans); } } return 0; }
#include <bits/stdc++.h> const int nmax = 100000, zmax = 6; long long t[zmax][2 * zmax - 2][nmax + 1]; inline int fz(int x, int z) { if (x % (2 * z - 2) == 0) { return 2; } else if (x % (2 * z - 2) <= z) { return x % (2 * z - 2); } else { return 2 * z - x % (2 * z - 2); } } long long t_query(int i, int j, int x) { long long aux; aux = 0; for (int k = x; k; k &= k - 1) { aux += t[i][j][k]; } return aux; } int main() { int n, m; assert(scanf(" %d ", &n)); for (int i = 1; i <= n; ++i) { long long x; assert(scanf(" %I64d ", &x)); t[0][0][i] = x; for (int j = 1; j < zmax; ++j) { for (int k = 0; k < 2 * j; ++k) { t[j][k][i] = t_query(j, k, i - 1) - t_query(j, k, i & (i - 1)) + x * fz(i + k, j + 1); } } } assert(scanf(" %d ", &m)); for (; m; --m) { int op; assert(scanf(" %d ", &op)); if (op == 1) { int p; long long x; assert(scanf(" %d %I64d ", &p, &x)); for (int j = 1; j < zmax; ++j) { for (int k = 0; k < 2 * j; ++k) { long long aux; aux = (x - t[0][0][p]) * fz(p + k, j + 1); for (int i = p; i <= n; i = 2 * i - (i & (i - 1))) { t[j][k][i] += aux; } } } t[0][0][p] = x; } else { int l, r, z, x; assert(scanf(" %d %d %d ", &l, &r, &z)); x = (l - 1) % (2 * z - 2) + 1; x = (2 * z - x - 1) % (2 * z - 2); printf("%I64d\n", t_query(z - 1, x, r) - t_query(z - 1, x, l - 1)); } } return 0; }
#include <bits/stdc++.h> using namespace std; const int mod = (int)1e9; const int inf = (int)1e9; const int base = 1000 * 1000 * 1000; const int maxn = 1005; const long double pi = acosl(-1.0); const long double eps = 1e-9; void error() { exit(1); } long long f(int i, int z, int d) { int res = (i + d + 1) % (2 * (z - 1)); if (res == 0) return 2; else if (res <= z) return res; return 2 * z - res; } struct Tree { vector<long long> t; int size; void init(vector<int> &a, int n, int z, int del) { size = 1; while (n >= size) size <<= 1; t.resize(size << 1, 0); for (int i = 0; i < n; i++) { t[i + size] = a[i] * f(i, z, del); } for (int i = size - 1; i >= 1; i--) t[i] = t[2 * i] + t[2 * i + 1]; } void change(int v, int val, int z, int del) { v = size + v; t[v] = val * f(v - size, z, del); while ((v >> 1) >= 1) { v >>= 1; t[v] = t[2 * v] + t[2 * v + 1]; } } long long get(int v, int curl, int curr, int l, int r) { if (l > r) return 0; if (curl == l && curr == r) return t[v]; int mid = (curl + curr) >> 1; long long a = get(2 * v, curl, mid, l, min(r, mid)); long long b = get(2 * v + 1, mid + 1, curr, max(l, mid + 1), r); return a + b; } }; void solve() { Tree tree[10][20]; int n; scanf("%d", &n); vector<int> a(n); for (int i = 0; i < n; i++) scanf("%d", &a[i]); for (int i = 2; i < 7; i++) for (int j = 0; j < 2 * (i - 1); j++) { tree[i][j].init(a, n, i, j); } int m, t; scanf("%d", &m); while (m--) { scanf("%d", &t); if (t == 1) { int p, v; scanf("%d %d", &p, &v); for (int i = 2; i < 7; i++) for (int j = 0; j < 2 * (i - 1); j++) { tree[i][j].change(p - 1, v, i, j); } } else { int l, r, z; scanf("%d %d %d", &l, &r, &z); int ost = (l - 1) % (2 * (z - 1)); int del = (2 * (z - 1) - ost) % (2 * (z - 1)); long long ans = tree[z][del].get(1, 0, tree[z][del].size - 1, l - 1, r - 1); printf("%I64d\n", ans); } } } int main() { solve(); return 0; }
#include <bits/stdc++.h> using namespace std; int n, a[111111]; long long s[7][13][111111]; void add(int x, long long y) { for (int i = (2); i <= (6); ++i) for (int j = 0; j < (2 * (i - 1)); ++j) { int zd = (x + 2 * (i - 1) - j) % (2 * (i - 1)); if (zd == 0) zd = 2; else if (zd > i) zd = 2 * i - zd; for (int t = x; t < 111111; t += t - (t & (t - 1))) s[i][j][t] += y * zd; } } long long ask(int x, int z, int d) { long long ret = 0; for (; x; x &= x - 1) ret += s[z][d][x]; return ret; } int main() { scanf("%d", &n); for (int i = (1); i <= (n); ++i) { scanf("%d", a + i); add(i, a[i]); } int q; scanf("%d", &q); for (int qq = 0; qq < (q); ++qq) { int t, x, y, z; scanf("%d", &t); if (t == 1) { scanf("%d%d", &x, &y); add(x, -a[x]); a[x] = y; add(x, a[x]); } else { scanf("%d%d%d", &x, &y, &z); int m = 2 * (z - 1); int j; for (int jj = 0; jj < (m); ++jj) { int zd = (x + m - jj) % m; if (zd == 0) zd = 2; else if (zd > z) zd = 2 * z - zd; if (zd == 1) { j = jj; break; } } printf("%I64d\n", ask(y, z, j) - ask(x - 1, z, j)); } } return 0; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 100000; struct fenvik { long long t[MAXN]; int n; fenvik(int n = 0) : n(n) { memset(t, 0, sizeof(t)); } long long sum(int l, int r) { long long res = 0; l--; for (; r >= 0; r = (r & (r + 1)) - 1) res += t[r]; for (; l >= 0; l = (l & (l + 1)) - 1) res -= t[l]; return res; } void update(int i, int det) { for (; i < n; i |= (i + 1)) t[i] += det; } }; const int Z = 10; fenvik f[Z][2 * Z]; int a[MAXN]; int n, m; int main() { cin >> n; for (int z = 2; z <= 6; z++) for (int i = 0; i < 2 * (z - 1); i++) f[z][i].n = n; for (int i = 0; i < n; i++) { cin >> a[i]; for (int z = 2; z <= 6; z++) f[z][i % (2 * (z - 1))].update(i, a[i]); } cin >> m; int type; for (int i = 0; i < m; i++) { cin >> type; switch (type) { case 1: int p, v; cin >> p >> v; p--; for (int z = 2; z <= 6; z++) f[z][p % (2 * (z - 1))].update(p, v - a[p]); a[p] = v; break; case 2: int l, r, z; cin >> l >> r >> z; l--; r--; long long ans = 0; int coef = 1, det = 1; for (int k = l % (2 * (z - 1));;) { ans += coef * f[z][k].sum(l, r); coef += det; if (coef == z) det = -det; k++; k %= 2 * (z - 1); if (k == l % (2 * (z - 1))) break; } cout << ans << endl; break; } } }
#include <bits/stdc++.h> using namespace std; long long ar[100010]; long long st[30][400010]; long long t1[] = {0, 2, 6, 12, 20}; void buildTree(long long id, long long mod, long long v, long long l, long long r) { if (l == r) { st[id + l % mod][v] = ar[l]; return; } buildTree(id, mod, 2 * v, l, (l + r) / 2); buildTree(id, mod, 2 * v + 1, (l + r) / 2 + 1, r); for (long long i = 0; i < mod; ++i) st[id + i][v] = st[id + i][2 * v] + st[id + i][2 * v + 1]; } void update(long long id, long long v, long long l, long long r, long long pos) { if (l == r) { st[id][v] = ar[pos]; return; } long long m = (l + r) / 2; if (pos <= m) update(id, 2 * v, l, m, pos); else update(id, 2 * v + 1, m + 1, r, pos); st[id][v] = st[id][2 * v] + st[id][2 * v + 1]; } long long get(long long id, long long v, long long tl, long long tr, long long l, long long r) { if (l > r) return 0; if (tl == l && tr == r) return st[id][v]; long long tm = (tl + tr) / 2; return get(id, 2 * v, tl, tm, l, min(r, tm)) + get(id, 2 * v + 1, tm + 1, tr, max(l, tm + 1), r); } long long n; long long br[100][100]; int main(int argc, char** argv) { cin >> n; for (long long i = 0; i < n; ++i) cin >> ar[i]; for (long long i = 2; i <= 6; ++i) { for (long long j = 1; j <= 2 * (i - 1); ++j) { long long t = j % (2 * (i - 1)); if (t == 0) br[i][j] = 2; else if (t <= i) br[i][j] = t; else if (t > i) br[i][j] = 2 * i - t; } } for (long long i = 2; i <= 6; ++i) buildTree(t1[i - 2], 2 * (i - 1), 1, 0, n - 1); long long m; cin >> m; for (long long count = 0; count < m; ++count) { long long t; cin >> t; if (t == 1) { long long p, v; cin >> p >> v; --p; ar[p] = v; for (long long i = 2; i <= 6; ++i) update(t1[i - 2] + p % (2 * i - 2), 1, 0, n - 1, p); } else { long long l, r, z; cin >> l >> r >> z; --l; --r; long long ans = 0; for (long long i = l; i < min(l + 2 * z - 2, r + 1); ++i) { ans += ((long long)br[z][i - l + 1]) * get(t1[z - 2] + i % (2 * (z - 1)), 1, 0, n - 1, l, r); } cout << ans << endl; } } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 100044; long long a[N], s[34][N]; int f[N][8], n, q; void add(int idx, int p, long long w) { for (int i = p; i <= n; i += (i & -i)) s[idx][i] += w; } long long que(int idx, int p) { long long ans = 0; for (int i = p; i; i -= (i & -i)) ans += s[idx][i]; return ans; } int g[] = {0, 0, 2, 4, 6, 8, 10}, sg[] = {0, 0, 2, 6, 12, 20, 30}; int main() { int x, y, z, op; long long v; scanf("%d", &n); for (int z = 2; z <= 6; z++) { for (int i = 1; i <= n + 40; i++) { int t = i % g[z]; if (t == 0) f[i][z] = 2; else if (t <= z) f[i][z] = t; else f[i][z] = 2 * z - t; } } for (int i = 1; i <= n; i++) { scanf("%lld", &a[i]); for (int j = 2, s = 0; j <= 6; j++) { for (int k = 0; k < g[j]; k++) { add(s + k, i, a[i] * f[i - k + g[j]][j]); } s = sg[j]; } } scanf("%d", &q); while (q--) { scanf("%d", &op); if (op == 1) { scanf("%d %lld", &x, &v); long long d = v - a[x]; for (int j = 2, s = 0; j <= 6; j++) { for (int k = 0; k < g[j]; k++) { add(s + k, x, d * f[x - k + g[j]][j]); } s = sg[j]; } a[x] = v; } else { scanf("%d %d %d", &x, &y, &z); int ofs = (x - 1) % g[z]; printf("%lld\n", que(sg[z - 1] + ofs, y) - que(sg[z - 1] + ofs, x - 1)); } } }
#include <bits/stdc++.h> const int N = 100005; using namespace std; long long s[15][15][N]; int n, a[N]; void add(int M, int m, int x, long long d) { for (; x <= n; x += x & (-x)) s[M][m][x] += d; } long long sum(int M, int m, int x) { long long res = 0; for (; x; x -= x & (-x)) res += s[M][m][x]; return res; } void update(int t, int x) { x = x - a[t]; int i; for (i = 2; i <= 10; i += 2) { add(i, t % i, t, (long long)x); } a[t] += x; } long long calc(int l, int r, int z) { int i, k, p = (z - 1) << 1; long long res = 0; for (i = 0; i < p; i++) { if (i + 1 == p) k = 2; else if (i < z) k = i + 1; else k = z * 2 - i - 1; res += 1LL * k * (sum(p, (l + i) % p, r) - sum(p, (l + i) % p, l - 1)); } return res; } int main() { int q; scanf("%d", &n); int i, x; for (i = 0; i < n; i++) { scanf("%d", &x); update(i + 1, x); } scanf("%d", &q); int t, l, r, z, p, v; while (q--) { scanf("%d", &t); if (t == 1) { scanf("%d%d", &p, &v); update(p, v); } else { scanf("%d%d%d", &l, &r, &z); printf("%I64d\n", calc(l, r, z)); } } return 0; }
#include <bits/stdc++.h> using namespace std; long long int a[7][11] = {{0}, {0}, {0, 1, 2}, {0, 1, 2, 3, 2}, {0, 1, 2, 3, 4, 3, 2}, {0, 1, 2, 3, 4, 5, 4, 3, 2}, {0, 1, 2, 3, 4, 5, 6, 5, 4, 3, 2}}; long long int MOD[300000][20]; class segment_tree { public: long long int z; private: class segment { public: long long int size, sum[11]; segment() { size = 0; memset(sum, 0, sizeof sum); } }; inline segment merge(segment a, segment b) { segment t; t.size = a.size + b.size; for (long long int i = 1; i <= 2 * (z - 1); i++) t.sum[i] = a.sum[i] + b.sum[MOD[i - 1 + a.size][2 * (z - 1)] + 1]; return t; } public: segment kd[262145]; inline void update(long long int root, long long int bas, long long int son, long long int x, long long int val) { if (x < bas or son < x) return; if (bas == son) { kd[root].size = 1; for (long long int i = 1; i <= 2 * (z - 1); i++) kd[root].sum[i] = val * a[z][i]; return; } update(root * 2, bas, (bas + son) / 2, x, val); update(root * 2 + 1, (bas + son) / 2 + 1, son, x, val); kd[root] = merge(kd[root * 2], kd[root * 2 + 1]); } inline segment query(long long int root, long long int bas, long long int son, long long int x, long long int y) { if (y < bas or son < x) return segment(); if (x <= bas and son <= y) return kd[root]; return merge(query(root * 2, bas, (bas + son) / 2, x, y), query(root * 2 + 1, (bas + son) / 2 + 1, son, x, y)); } } ST[7]; long long int n, m; int main() { for (long long int i = 0; i <= 290000; i++) for (long long int j = 1; j <= 18; j++) MOD[i][j] = i % j; for (long long int c = 2; c <= 6; c++) ST[c].z = c; cin >> n; long long int t, x, y, c; for (long long int i = 1; i <= n; i++) { scanf("%lld", &x); for (long long int c = 2; c <= 6; c++) ST[c].update(1, 1, n, i, x); } cin >> m; while (m--) { scanf("%lld", &t); if (t == 1) { scanf("%lld %lld", &x, &c); for (long long int cc = 2; cc <= 6; cc++) ST[cc].update(1, 1, n, x, c); } else { scanf("%lld %lld %lld", &x, &y, &c); printf("%lld\n", ST[c].query(1, 1, n, x, y).sum[1]); } } }
#include <bits/stdc++.h> inline int getInt() { int s; scanf("%d", &s); return s; } using namespace std; class BIT { vector<long long> bit; public: BIT(int n) : bit(n + 1) {} void add(int idx, long long val) { idx++; while (idx < (int)bit.size()) { bit[idx] += val; idx += idx & -idx; } } long long sum(int i) { long long s = 0; i++; while (i > 0) { s += bit[i]; i -= i & -i; } return s; } }; int zz(int z, int i) { i++; int m = i % (2 * (z - 1)); if (m == 0) return 2; if (m <= z) return m; return 2 * z - m; } int main() { const int n = getInt(); vector<vector<BIT> > bits(7, vector<BIT>(14, BIT(n))); vector<long long> a(n); for (int i = 0; i < (int)(n); i++) { a[i] = getInt(); } for (int i = 0; i < (int)(7); i++) for (int j = 0; j < (int)((i - 1) * 2); j++) if (i > 1) { for (int k = 0; k < (int)(n); k++) { bits[i][j].add(k, zz(i, j + k) * a[k]); } } const int m = getInt(); for (int cc = 0; cc < (int)(m); cc++) { const int t = getInt(); if (t == 1) { const int p = getInt() - 1; const long long v = getInt(); for (int i = 0; i < (int)(7); i++) for (int j = 0; j < (int)((i - 1) * 2); j++) if (i > 1) { bits[i][j].add(p, -zz(i, j + p) * a[p]); bits[i][j].add(p, zz(i, j + p) * v); } a[p] = v; } else { const int l = getInt() - 1; const int r = getInt() - 1; const int z = getInt(); for (int i = 0; i < (int)(2 * (z - 1)); i++) if (zz(z, i + l) == 1) { long long ans = bits[z][i].sum(r); if (l != 0) ans -= bits[z][i].sum(l - 1); cout << ans << endl; } } } return 0; }
#include <bits/stdc++.h> using namespace std; const int MAX = 100000 + 10; const int NUM = 12; long long n, a[MAX], sum[NUM][NUM][MAX]; void ins(long long* sum, int x, long long delta) { for (; x <= n; x += (x & (-x))) sum[x] += delta; } long long ask(long long* sum, int l) { long long ans = 0; for (; l; l -= (l & (-l))) ans += sum[l]; return ans; } long long S(int i, int z) { int d = 2 * (z - 1), k = i % d; if (!k) return 2; if (k <= z) return k; else return 2 * z - k; } void add(int c, long long d) { a[c] += d; int i, j; for (i = 2; i <= 6; ++i) for (j = 1; j <= 2 * (i - 1); ++j) ins(sum[i][j], c, d * S(j - 1 + c, i)); } long long ask(int l, int r, int z) { int j; for (j = 1; j <= 2 * (z - 1); ++j) if ((j - 1 + l) % (2 * (z - 1)) == 1) break; return ask(sum[z][j], r) - ask(sum[z][j], l - 1); } int main() { int i, b, Q, x, y, z; cin >> n; for (i = 1; i <= n; ++i) { cin >> b; add(i, b); } scanf("%d", &Q); for (i = 1; i <= Q; ++i) { scanf("%d", &b); if (b == 1) { scanf("%d %d", &x, &y); add(x, y - a[x]); } else if (b == 2) { scanf("%d %d %d", &x, &y, &z); cout << ask(x, y, z) << endl; } } }
#include <bits/stdc++.h> using namespace std; const char al[100] = {'A', 'B', 'C', 'D', 'E', 'F', 'G', 'H', 'I', 'J', 'K', 'L', 'M', 'N', 'O', 'P', 'Q', 'R', 'S', 'T', 'U', 'V', 'W', 'X', 'Y', 'Z'}; vector<vector<long long int> > go(7); vector<vector<vector<long long int> > > tree(5); vector<vector<vector<long long int> > > values(5); vector<long long int> my; void inc(long long int i, long long int delta, long long int id, long long int mod) { for (; i < tree[id][mod].size(); i = (i | (i + 1))) tree[id][mod][i] += delta; } void init(long long int id, long long int mod) { long long int n = go[id].size(); for (long long int i = 0; i < my.size(); i++) { values[id][mod][i] = my[i] * go[id][(i + mod) % n]; inc(i, my[i] * go[id][(i + mod) % n], id, mod); } } long long int sum(long long int r, long long int id, long long int mod) { long long int result = 0; for (; r >= 0; r = (r & (r + 1)) - 1) result += tree[id][mod][r]; return result; } long long int sum(long long int l, long long int r, long long int id, long long int mod) { return sum(r, id, mod) - sum(l - 1, id, mod); } int main() { long long int pp; for (long long int i = 2; i <= 6; i++) { for (long long int j = 0; j < 2 * (i - 1); j++) { if ((j + 1) % (2 * (i - 1)) == 0) go[i - 2].push_back(2); else if ((j + 1) % (2 * (i - 1)) <= i) go[i - 2].push_back((j + 1) % (2 * (i - 1))); else go[i - 2].push_back(2 * i - (j + 1) % (2 * (i - 1))); } } cin >> pp; for (long long int i = 0; i < pp; i++) { long long int x; cin >> x; my.push_back(x); } for (long long int i = 0; i < 5; i++) tree[i].resize(go[i].size(), vector<long long int>(my.size(), 0)); for (long long int i = 0; i < 5; i++) values[i].resize(go[i].size(), vector<long long int>(my.size(), 0)); for (long long int i = 0; i < 5; i++) { for (long long int j = 0; j < go[i].size(); j++) init(i, j); } long long int m; cin >> m; long long int x, y, z, p; for (long long int i = 0; i < m; i++) { z = 0; cin >> p; if (p == 2) cin >> x >> y >> z; else cin >> x >> y; x--; y--; if (p == 2) { long long int to = x % go[z - 2].size(); long long int temp; if (to != 0) temp = go[z - 2].size() - to; else temp = 0; cout << sum(x, y, z - 2, temp) << endl; } else { y++; long long int delta; for (long long int j = 0; j < 5; j++) for (long long int k = 0; k < go[j].size(); k++) { delta = y * go[j][(x + k) % go[j].size()] - values[j][k][x]; values[j][k][x] += delta; inc(x, delta, j, k); } } } };
#include <bits/stdc++.h> using namespace std; const int MaxN = 1 << 17; int F[7][MaxN]; int mod[7]; int n; long long v[7][11][MaxN << 1]; void add(int k, int L, int R, int x, long long p) { if (L == R) { for (int i = 2; i <= 6; ++i) for (int j = 1; j <= mod[i]; ++j) v[i][j][k] = p * F[i][j]; return; } int mid = (L + R) >> 1; if (x <= mid) add(k << 1, L, mid, x, p); else add(k << 1 | 1, mid + 1, R, x, p); for (int i = 2; i <= 6; ++i) for (int j = 1; j <= mod[i]; ++j) { int t = (j + (R - L + 1) / 2) % mod[i]; if (!t) t = mod[i]; v[i][j][k] = v[i][j][k << 1] + v[i][t][k << 1 | 1]; } } long long get(int k, int L, int R, int x, int y, int z, int t) { if (L == x && R == y) return v[z][t][k]; int mid = (L + R) >> 1; if (y <= mid) return get(k << 1, L, mid, x, y, z, t); if (x > mid) return get(k << 1 | 1, mid + 1, R, x, y, z, t); int u = (t + mid - x + 1) % mod[z]; if (!u) u = mod[z]; return get(k << 1, L, mid, x, mid, z, t) + get(k << 1 | 1, mid + 1, R, mid + 1, y, z, u); } void init() { for (int i = 2; i <= 6; ++i) { mod[i] = 2 * (i - 1); for (int j = 1; j <= 100000; ++j) { int t = j % (2 * (i - 1)); if (!t) F[i][j] = 2; else if (t <= i) F[i][j] = t; else F[i][j] = 2 * i - t; } } cin >> n; for (int i = 1; i <= n; ++i) { int x; scanf("%d", &x); add(1, 1, MaxN, i, x); } } void work() { int T; cin >> T; while (T--) { int flag; scanf("%d", &flag); if (flag == 1) { int x, p; scanf("%d%d", &x, &p); add(1, 1, MaxN, x, p); } else { int x, y, z; scanf("%d%d%d", &x, &y, &z); printf("%I64d\n", get(1, 1, MaxN, x, y, z, 1)); } } } int main() { init(); work(); return 0; }
#include <bits/stdc++.h> int n; struct pp { long long a[100001]; void add(int p, long long d) { for (; p <= n; p += p & -p) a[p] += d; } long long suma(int p) { long long ret = 0; for (; p; p -= p & -p) ret += a[p]; return ret; } long long sum(int l, int r) { return suma(r) - suma(l - 1); } } mem[30]; int go[5] = {0, 2, 6, 12, 20}; int gao(int x, int m) { if (x * 2 <= m) return x; else return m + 2 - x; } int a[102400]; int main() { scanf("%d", &n); for (int i = 1; i <= n; ++i) scanf("%d", a + i); for (int i = 0, t; i <= 4; ++i) { t = i * 2 + 2; for (int j = 1; j <= n; ++j) mem[go[i] + j % t].add(j, a[j]); } int m, l, r, t, x; for (scanf("%d", &m); m--;) { scanf("%d%d%d", &t, &l, &r); if (t == 1) { r -= a[l]; a[l] += r; for (int i = 0, t; i <= 4; ++i) { t = i * 2 + 2; mem[go[i] + l % t].add(l, r); } } else { scanf("%d", &x); x -= 2; t = x * 2 + 2; long long ans = 0; for (int i = 1; i <= t && i + l <= r + 1; ++i) ans += mem[go[x] + (l + i - 1) % t].sum(l, r) * gao(i, t); printf("%I64d\n", ans); } } }
#include <bits/stdc++.h> using namespace std; const int MAXN = 1e5 + 3, MAXK = 7; int AK[MAXK][2 * MAXK], m; void buildK() { for (int i = 2; i < MAXK; i++) { for (int ii = 0; ii < 2 * (i - 1); ii++) { int md = ii; if (md == 0) md = 2; if (md > i) md = 2 * i - md; AK[i][ii] = md; } } } int cal(int x, int kk) { x %= (2 * (kk - 1)); return x; } struct node { vector<long long> v[MAXK]; node() { for (int i = 2; i < MAXK; i++) v[i].resize(2 * (i - 1)); } void build(int val) { for (int i = 2; i < MAXK; i++) { for (int ii = 0; ii < 2 * (i - 1); ii++) { v[i][ii] = val * 1LL * AK[i][ii]; } } } void merge(node &L, node &R, int sz) { for (int i = 2; i < MAXK; i++) { for (int ii = 0; ii < 2 * (i - 1); ii++) { v[i][ii] = L.v[i][ii]; int nxt = cal(sz + ii, i); v[i][ii] += R.v[i][nxt]; } } } }; node Te[4 * MAXN], dum; int n; void up(int idx, int l1, int r1, int l, int r, int v) { if (l > r1 || r < l1) return; if (l >= l1 && r <= r1) { Te[idx].build(v); return; } int md = (l + r) >> 1; up(idx * 2, l1, r1, l, md, v); up(idx * 2 + 1, l1, r1, md + 1, r, v); int sz = md - l + 1; Te[idx].merge(Te[idx * 2], Te[idx * 2 + 1], sz); } int varK; long long get(int idx, int l1, int r1, int l, int r, int kk) { if (l > r1 || r < l1) return 0; if (l >= l1 && r <= r1) { int x = cal(varK, kk); long long val = Te[idx].v[kk][x]; varK += (r - l + 1); return val; } int md = (l + r) >> 1; return get(idx * 2, l1, r1, l, md, kk) + get(idx * 2 + 1, l1, r1, md + 1, r, kk); } int main() { buildK(); scanf("%d", &n); for (int i = 0; i < n; i++) { int x; scanf("%d", &x); up(1, i, i, 0, n - 1, x); } scanf("%d", &m); for (int i = 0; i < m; i++) { int type, pos, l, r, val, zz; scanf("%d", &type), varK = 1; if (type == 1) { scanf("%d%d", &pos, &val), pos--; up(1, pos, pos, 0, n - 1, val); } else { scanf("%d%d%d", &l, &r, &zz), l--, r--; long long ret = get(1, l, r, 0, n - 1, zz); printf("%lld\n", ret); } } }
#include <bits/stdc++.h> using namespace std; const int mxN = 100000; int n, q, a[mxN]; struct ft { long long a[mxN + 1]; void upd(int i, long long val) { for (++i; i <= n; i += i & -i) a[i] += val; } long long sum(int i) { long long res = 0; for (++i; i > 0; i -= i & -i) res += a[i]; return res; } long long sum(int l, int r) { return sum(r) - sum(l - 1); } } f[5][10]; inline long long get(int i, int j, int ind) { int res = (ind - j + 2 * (i - 1)) % (2 * (i - 1)); if (res >= i) res = 2 * (i - 1) - res; return res + 1; } int main() { ios::sync_with_stdio(0); cin.tie(0); cin >> n; for (int i = 0; i < n; ++i) cin >> a[i]; for (int i = 2; i <= 6; ++i) for (int j = 0; j < 2 * (i - 1); ++j) for (int k = 0; k < n; ++k) f[i - 2][j].upd(k, get(i, j, k) * a[k]); cin >> q; while (q--) { int t; cin >> t; if (t == 1) { int ind, val; cin >> ind >> val, --ind; int inc = val - a[ind]; a[ind] = val; for (int i = 2; i <= 6; ++i) for (int j = 0; j < 2 * (i - 1); ++j) f[i - 2][j].upd(ind, get(i, j, ind) * inc); } else { int l, r, z; cin >> l >> r >> z, --l, --r; cout << f[z - 2][l % (2 * (z - 1))].sum(l, r) << '\n'; } } return 0; }
#include <bits/stdc++.h> using namespace std; long long int gcd(long long int a, long long int b) { if (a == 0) return (b); else return (gcd(b % a, a)); } long long int fastpow(long long int a, long long int n, long long int temp) { if (n == 0) return (1); if (n == 1) return ((a * temp) % 1000000007); if (n & 1) temp = (temp * a) % 1000000007; return (fastpow((a * a) % 1000000007, n / 2, temp)); } char dum; long long int a[100005]; long long int t[400005][5][12]; long long int z[7][15]; void push(int nd, int nnd, int mid, int l) { for (int i = 2; i < 7; i++) { for (int j = 0; j < 2 * (i - 1); j++) t[nd][i - 2][j] = t[nnd][i - 2][j] + t[nnd + 1][i - 2][(j + (mid - l + 1)) % (2 * (i - 1))]; } } void init(int l, int r, int nd) { if (l > r) return; if (l == r) { for (int i = 2; i < 7; i++) { for (int j = 0; j < 2 * (i - 1); j++) t[nd][i - 2][j] = a[l] * z[i][j]; } return; } int mid = (l + r) / 2, nnd = nd * 2; init(l, mid, nd * 2); init(mid + 1, r, nd * 2 + 1); push(nd, nnd, mid, l); } void update(int l, int r, int ind, int nd) { if (l > r) return; if (l == ind and r == ind) { for (int i = 2; i < 7; i++) { for (int j = 0; j < 2 * (i - 1); j++) t[nd][i - 2][j] = a[l] * z[i][j]; } return; } int mid = (l + r) / 2, nnd = nd * 2; if (l <= ind and ind <= mid) update(l, mid, ind, nnd); else update(mid + 1, r, ind, nnd + 1); push(nd, nnd, mid, l); } long long int query(int l, int r, int i, int j, int z, int nd, int ofst) { if (l > r or l > j or r < i) return 0; if (i <= l and r <= j) return t[nd][z - 2][ofst % (2 * (z - 1))]; int mid = (l + r) / 2, nnd = nd * 2; long long int res1 = 0, res2 = 0; if (j <= mid) res1 = query(l, mid, i, j, z, nnd, ofst); else if (i > mid) res2 = query(mid + 1, r, i, j, z, nnd + 1, ofst); else { res1 = query(l, mid, i, j, z, nnd, ofst); res2 = query(mid + 1, r, i, j, z, nnd + 1, ofst + (mid - max(i, l) + 1)); } return res1 + res2; } int main() { int v; for (int i = 2; i < 7; i++) for (int j = 0; j < 2 * (i - 1); j++) { if ((j + 1) % (2 * (i - 1)) == 0) v = 2; else if ((j + 1) % (2 * (i - 1)) <= i) v = (j + 1) % (2 * (i - 1)); else v = 2 * i - (j + 1) % (2 * (i - 1)); z[i][j] = v; } int n, m, type, p, l, r, z; scanf("%d", &n); for (int i = 0; i < n; i++) scanf("%lld", &a[i]); init(0, n - 1, 1); scanf("%d", &m); while (m--) { scanf("%d", &type); if (type == 1) { scanf("%d", &p), scanf("%d", &v); a[p - 1] = v; update(0, n - 1, p - 1, 1); } else { scanf("%d", &l), scanf("%d", &r), scanf("%d", &z); cout << query(0, n - 1, l - 1, r - 1, z, 1, 0) << endl; } } return 0; }
#include <bits/stdc++.h> using namespace std; const int l = 1 << 17, size = (2 * (1 << 17) - 1) + 1; long long T[7][11][size]; long long Z(long long z, long long i) { long long r = i % (2 * (z - 1)); if (r == 0) return 2; if (r > 0 && r <= z) return r; return 2 * z - r; } void Zmien(int i, int j, int k, int x) { k += l; T[i][j][k] = x; k /= 2; while (k != 0) { T[i][j][k] = T[i][j][2 * k] + T[i][j][2 * k + 1]; k /= 2; } } long long Suma(int i, int j, int a, int b) { a += l; b += l; long long s = T[i][j][a]; if (a != b) s += T[i][j][b]; while (a / 2 != b / 2) { if (a % 2 == 0) s += T[i][j][a + 1]; if (b % 2 == 1) s += T[i][j][b - 1]; a /= 2; b /= 2; } return s; } int main() { ios_base::sync_with_stdio(0); int n; cin >> n; vector<int> a(n); for (int i = 0; i < n; ++i) cin >> a[i]; for (int i = 0; i < 7; ++i) for (int j = 0; j < 11; ++j) for (int k = 0; k <= size; ++k) T[i][j][k] = 0; for (int i = 2; i <= 6; ++i) { int T = 2 * (i - 1); for (int j = 0; j < T; ++j) for (int k = j; k < n; k += T) Zmien(i, j, k, a[k]); } int m; cin >> m; for (int i = 0; i < m; ++i) { int t; cin >> t; if (t == 1) { int p, v; cin >> p >> v; --p; for (int j = 2; j <= 6; ++j) { int T = 2 * (j - 1); Zmien(j, p % T, p, v); } } else { int l, r, z; cin >> l >> r >> z; --l; --r; long long odp = 0; int T = 2 * (z - 1); for (int j = 0; j < T; ++j) odp += Suma(z, (l + j) % T, l, r) * Z(z, j + 1); cout << odp << endl; } } return 0; }
#include <bits/stdc++.h> using namespace std; long long d[5][10][100001]; int a[100001]; void insert(long long dd[], int x, long long v) { while (x < 100001) { dd[x] += v; x += x & -x; } } long long qq(long long dd[], int x) { long long res = 0; while (x) { res += dd[x]; x -= x & -x; } return res; } int f(int x, int d, int offset) { x -= offset; x %= (d * 2 - 2); if (x < 0) x += d * 2 - 2; if (!x) return 2; if (x <= d) return x; return 2 * d - x; } int main() { int i, j, k, n, Q; scanf("%d", &n); for (i = 1; i <= n; i++) { scanf("%d", &a[i]); for (j = 2; j <= 6; j++) for (k = 0; k < j * 2 - 2; k++) insert(d[j - 2][k], i, (long long)a[i] * f(i, j, k)); } scanf("%d", &Q); while (Q--) { int ty; scanf("%d", &ty); if (ty == 2) { int ll, rr, z; scanf("%d%d%d", &ll, &rr, &z); printf("%I64d\n", qq(d[z - 2][(ll - 1) % (2 * z - 2)], rr) - qq(d[z - 2][(ll - 1) % (2 * z - 2)], ll - 1)); } else { int p, v; scanf("%d%d", &p, &v); for (j = 2; j <= 6; j++) for (k = 0; k < j * 2 - 2; k++) insert(d[j - 2][k], p, (long long)(v - a[p]) * f(p, j, k)); a[p] = v; } } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = (int)1e5 + 7; int n; int q; long long a[N]; long long coef(int z, int i) { i %= (2 * (z - 1)); if (i < 0) { i += 2 * (z - 1); } if (i == 0) { return 2; } if (i <= z) { return i; } return 2 * z - i; } long long t[7][13][N]; void add(int x, int y, int i, long long val) { while (i <= n) { t[x][y][i] += val; i += i & (-i); } } long long get(int x, int y, int i) { long long sol = 0; while (i >= 1) { sol += t[x][y][i]; i -= i & (-i); } return sol; } int rep(int x, int val) { x = 2 * (x - 1); val %= x; if (val < 0) { val += x; } return val; } int main() { ios::sync_with_stdio(0); cin.tie(0); cin >> n; for (int i = 1; i <= n; i++) { cin >> a[i]; } cin >> q; for (int z = 2; z <= 6; z++) { for (int m = 0; m < 2 * (z - 1); m++) { for (int i = 1; i <= n; i++) { add(z, m, i, a[i] * coef(z, m + i)); } } } while (q--) { int type; cin >> type; if (type == 1) { int i, x; cin >> i >> x; for (int z = 2; z <= 6; z++) { for (int m = 0; m < 2 * (z - 1); m++) { add(z, m, i, -a[i] * coef(z, m + i)); } } a[i] = x; for (int z = 2; z <= 6; z++) { for (int m = 0; m < 2 * (z - 1); m++) { add(z, m, i, a[i] * coef(z, m + i)); } } continue; } int l, r, z; cin >> l >> r >> z; int mod = 2 * (z - 1); int x = (r - l) / mod; long long sol = 0; for (int j = l + x * mod; j <= r; j++) { sol += a[j] * coef(z, j - l + 1); } int m = rep(z, -(l - 1)); sol += get(z, m, l + x * mod - 1); sol -= get(z, m, l - 1); cout << sol << "\n"; } }
#include <bits/stdc++.h> using namespace std; const int Maxn = 100005; const int Maxt = 300005; long long t[7][12][Maxt]; int a[Maxn]; void modify(int t1, int t2, int l, int r, int p, int k, long long val) { if (l == r) { t[t1][t2][p] = val; return; } int m = (l + r) / 2; if (k <= m) { modify(t1, t2, l, m, p * 2, k, val); } else { modify(t1, t2, m + 1, r, p * 2 + 1, k, val); } t[t1][t2][p] = t[t1][t2][p * 2] + t[t1][t2][p * 2 + 1]; } long long query(int t1, int t2, int l, int r, int p, int lo, int hi) { if (l >= lo && r <= hi) return t[t1][t2][p]; int m = (l + r) / 2; long long ans = 0; if (lo <= m) { ans += query(t1, t2, l, m, p * 2, lo, min(m, hi)); } if (hi > m) { ans += query(t1, t2, m + 1, r, p * 2 + 1, max(lo, m + 1), hi); } return ans; } int main() { int n; scanf("%d", &n); for (int i = 1; i <= n; i++) { scanf("%d", &a[i]); for (int j = 2; j <= 6; j++) { modify(j, i % (2 * j - 2), 1, n, 1, i, (long long)a[i]); } } int m; scanf("%d", &m); while (m--) { int tp; scanf("%d", &tp); if (tp == 1) { int p, val; scanf("%d %d", &p, &val); for (int j = 2; j <= 6; j++) { modify(j, p % (2 * j - 2), 1, n, 1, p, (long long)val); } } else { int lf, rg, z; scanf("%d %d %d", &lf, &rg, &z); long long ans = 0; z = 2 * z - 2; int now = lf % z; for (int i = 1; i <= z; i++) { int si; if (i == 0) si = 2; else if (i <= (z + 2) / 2) { si = i; } else { si = z + 2 - i; } ans += (long long)si * query((z + 2) / 2, (now + i - 1) % z, 1, n, 1, lf, rg); } printf("%I64d\n", ans); } } }
#include <bits/stdc++.h> using namespace std; class BIT { public: int N; long long Arr[100010]; BIT() {} int set_size(int _N) { N = _N; return 0; } int Modify(int x, long long delta) { for (int i = x; i <= N; i += (i & (-i))) Arr[i] += delta; return 0; } long long Query(int x) { long long sum = 0; for (int i = x; i > 0; i -= (i & (-i))) sum += Arr[i]; return sum; } }; BIT WTF[6][10]; int a[111111]; int zzSeq(int z, int i) { if (i <= 0) return 0; if (i % (2 * (z - 1)) == 0) return 2; else if (i % (2 * (z - 1)) <= z) return i % (2 * (z - 1)); else return 2 * z - i % (2 * (z - 1)); } int Modify(int x, long long delta) { for (int z = 2; z <= 6; z++) { for (int off = 0; off < 2 * z - 2; off++) { int zi = z - 2; WTF[zi][off].Modify(x, delta * zzSeq(z, x - off)); } } return 0; } int main(void) { int n = 0; scanf("%d", &n); for (int i = 0; i < 6; i++) { for (int j = 0; j < 10; j++) WTF[i][j].set_size(n); } for (int i = 1; i <= n; i++) scanf("%d", &a[i]); for (int i = 1; i <= n; i++) Modify(i, a[i]); int q = 0; scanf("%d", &q); while (q--) { int op = 0; scanf("%d", &op); if (op == 1) { int p = 0; int v = 0; scanf("%d %d", &p, &v); Modify(p, -a[p]); a[p] = v; Modify(p, a[p]); } else { int l = 0; int r = 0; int z = 0; scanf("%d %d %d", &l, &r, &z); int off = (l - 1) % (2 * z - 2); printf("%I64d\n", WTF[z - 2][off].Query(r) - WTF[z - 2][off].Query(l - 1)); } } while (getchar() != EOF) ; return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 100000; int n, a[N], indices[11][N]; vector<long long> sum[11][11]; void insert(vector<long long> &vs, int k, int v) { for (int i = k; i < (int)vs.size(); i += ~i & i + 1) { vs[i] += v; } } long long query(vector<long long> &vs, int k) { long long result = 0; for (int i = k; i >= 0; i -= ~i & i + 1) { result += vs[i]; } return result; } int fix(int n, int m, int r) { while ((n % m + m) % m != r) { n--; } if (n < 0) { return -1; } return indices[m][n]; } vector<int> zeta[7]; int main() { for (int z = 2; z <= 6; ++z) { for (int i = 1; i <= 2 * (z - 1); ++i) { if (i % (2 * (z - 1)) == 0) { zeta[z].push_back(2); } else if (i % (2 * (z - 1)) <= z) { zeta[z].push_back(i % (2 * (z - 1))); } else { zeta[z].push_back(2 * z - i % (2 * (z - 1))); } } } scanf("%d", &n); for (int z = 2; z <= 10; z += 2) { for (int i = 0; i < n; ++i) { indices[z][i] = sum[z][i % z].size(); sum[z][i % z].push_back(0); } } for (int i = 0; i < n; ++i) { scanf("%d", a + i); for (int z = 2; z <= 10; z += 2) { insert(sum[z][i % z], indices[z][i], a[i]); } } int m; scanf("%d", &m); while (m--) { int type; scanf("%d", &type); if (type == 1) { int p, v; scanf("%d%d", &p, &v); p--; for (int z = 2; z <= 10; z += 2) { insert(sum[z][p % z], indices[z][p], v - a[p]); } a[p] = v; } else { int l, r, z; scanf("%d%d%d", &l, &r, &z); l -= 2; r--; long long result = 0; int mod = 2 * (z - 1); for (int i = 0; i < mod; ++i) { int rem = ((l + 1 + i) % mod + mod) % mod; result += zeta[z][i] * (query(sum[mod][rem], fix(r, mod, rem)) - query(sum[mod][rem], fix(l, mod, rem))); } cout << result << endl; } } return 0; }
#include <bits/stdc++.h> using namespace std; const long long N = 1e5 + 10; struct node { long long l, r, a[7][11]; } tr[4 * N]; long long s[7][11], a[N]; void init() { for (long long i = 2; i <= 6; i++) { for (long long j = 0; j < 2 * (i - 1); j++) { if (j % (2 * (i - 1)) == 0) s[i][j] = 2; else if (j % (2 * (i - 1)) <= i) s[i][j] = j % (2 * (i - 1)); else s[i][j] = 2 * i - j % (2 * (i - 1)); } } } void push(long long x) { for (long long i = 2; i <= 6; i++) for (long long j = 0; j < 2 * (i - 1); j++) tr[x].a[i][j] = tr[2 * x].a[i][j] + tr[2 * x + 1] .a[i][(tr[x * 2].r - tr[x * 2].l + 1 + j) % (2 * (i - 1))]; } void build(long long x, long long l, long long r) { tr[x].l = l, tr[x].r = r; if (l == r) { for (long long i = 2; i <= 6; i++) for (long long j = 0; j < 2 * (i - 1); j++) tr[x].a[i][j] = a[l] * s[i][j]; return; } long long mid = (l + r) / 2; build(x * 2, l, mid), build(x * 2 + 1, mid + 1, r); push(x); } void modif(long long x, long long k, long long d) { if (tr[x].l == tr[x].r) { for (long long i = 2; i <= 6; i++) for (long long j = 0; j < 2 * (i - 1); j++) tr[x].a[i][j] = d * s[i][j]; return; } if (tr[x * 2].r >= k) modif(x * 2, k, d); else modif(x * 2 + 1, k, d); push(x); } long long query(long long x, long long l, long long r, long long z, long long d) { if (tr[x].l == l && tr[x].r == r) return tr[x].a[z][d]; if (tr[x * 2].r >= r) return query(x * 2, l, r, z, d); if (tr[x * 2 + 1].l <= l) return query(x * 2 + 1, l, r, z, d); return query(x * 2, l, tr[x * 2].r, z, d) + query(x * 2 + 1, tr[x * 2 + 1].l, r, z, (d + tr[x * 2].r - l + 1) % (2 * (z - 1))); } signed main() { init(); long long n, m; scanf("%lld", &n); for (long long i = 1; i <= n; i++) scanf("%lld", &a[i]); build(1, 1, n); scanf("%lld", &m); long long op, x, y, z; while (m--) { scanf("%lld", &op); if (op == 1) { scanf("%lld%lld", &x, &y); modif(1, x, y); } else { scanf("%lld%lld%lld", &x, &y, &z); printf("%lld\n", query(1, x, y, z, 1)); } } return 0; }
#include <bits/stdc++.h> using namespace std; const int limite = 1000000; const int limitebis = 200000; long long int suma[30][limite]; int seq[30][limitebis]; int numseq; int primero, tope; int n, m; long long int a[limitebis]; int comienza[7]; void inserta(int pos, long long int val) { int posa = pos; a[posa] = val; pos += primero; for (int i = 0; i < numseq; i++) suma[i][pos] = seq[i][posa] * a[posa]; while (pos > 1) { pos /= 2; for (int i = 0; i < numseq; i++) suma[i][pos] = suma[i][2 * pos] + suma[i][2 * pos + 1]; } } long long int sumaantes(int pos, int iseq) { pos += primero; long long int s = suma[iseq][pos]; while (pos > 1) { if (pos % 2 == 1) s += suma[iseq][pos - 1]; pos /= 2; } return s; } int main() { cin >> n; for (int i = 0; i < n; i++) cin >> a[i]; { numseq = 0; for (int i = 2; i <= 6; i++) { comienza[i] = numseq; int sig = 1; seq[numseq][0] = 1; for (int j = 1; j < limitebis; j++) { seq[numseq][j] = seq[numseq][j - 1] + sig; if (seq[numseq][j] == i) sig = -1; else if (seq[numseq][j] == 1) sig = 1; } for (int k = 1; k < 2 * i - 2; k++) for (int j = 0; j < limitebis; j++) seq[numseq + k][j] = seq[numseq + k - 1][(j - 1 + 2 * i - 2) % limitebis]; numseq += 2 * i - 2; } } { int nn = n; primero = 1; while (nn > 0) { nn /= 2; primero *= 2; } tope = 2 * primero; for (int i = 0; i < n; i++) inserta(i, a[i]); } cin >> m; for (int i = 0; i < m; i++) { int t; cin >> t; if (t == 1) { int p, val; cin >> p >> val; p--; inserta(p, val); } else { int l, r, z; cin >> l >> r >> z; l--; r--; int iseq = comienza[z] + l % (2 * z - 2); long long int s = sumaantes(r, iseq); if (l > 0) s -= sumaantes(l - 1, iseq); cout << s << endl; } } }
#include <bits/stdc++.h> using namespace std; const int N = 100005; long long tree[7][4 * N]; int tp[7][N]; int st[7][20]; int a[N]; int n, m; long long ans; void Read(int &x) { char c; while (c = getchar(), c < '0' || c > '9') ; x = c - '0'; while (c = getchar(), c >= '0' && c <= '9') x = x * 10 + c - '0'; } void Make(long long *t, int *a, int x, int l, int r) { if (l == r) { t[x] = a[l]; return; } int mid = (l + r) >> 1; Make(t, a, x + x, l, mid); Make(t, a, x + x + 1, mid + 1, r); t[x] = t[x + x] + t[x + x + 1]; } void Init() { Read(n); int temp; for (int i = 1; i <= n; i++) Read(a[i]); for (int i = 2; i <= 6; i++) { int temp = (i + i - 2); int tot = 0; for (int j = 1; j <= temp; j++) { st[i][j] = tot; for (int k = j; k <= n; k += temp) tp[i][++tot] = a[k]; } Make(tree[i], tp[i], 1, 1, n); } } void Change(long long *t, int x, int l, int r, int pos, int value) { if (l > pos || r < pos) return; if (l == r) { t[x] = value; return; } int mid = (l + r) >> 1; Change(t, x + x, l, mid, pos, value); Change(t, x + x + 1, mid + 1, r, pos, value); t[x] = t[x + x] + t[x + x + 1]; } void Find(long long *t, int x, int l, int r, int st, int en) { if (l > en || st > r) return; if (st <= l && r <= en) { ans += t[x]; return; } int mid = (l + r) >> 1; Find(t, x + x, l, mid, st, en); Find(t, x + x + 1, mid + 1, r, st, en); } void Work() { Read(m); int t, x, y, z; for (int i = 1; i <= m; i++) { Read(t); if (t == 1) { Read(x); Read(y); a[x] = y; for (int j = 2; j <= 6; j++) { int temp = j + j - 2, tt = (x - 1) % temp + 1; Change(tree[j], 1, 1, n, st[j][tt] + (x - 1) / temp + 1, y); } } else { Read(x); Read(y); Read(z); int temp = z + z - 2, tt, J; long long sum = 0; for (int j = 1; j <= temp; j++) { J = (j + x - 2) % temp + 1; if (j > z) tt = z + z - j; if (j <= z) tt = j; if (j == temp) tt = 2; int S = (x - 1) / temp + 1, E = (y - 1) / temp + 1; if ((S - 1) * temp + J < x) S++; if ((E - 1) * temp + J > y) E--; ans = 0; Find(tree[z], 1, 1, n, st[z][J] + S, st[z][J] + E); sum += tt * ans; } printf("%I64d\n", sum); } } } int main() { Init(); Work(); return 0; }
#include <bits/stdc++.h> using namespace std; const long long N = 1e5 + 7, Z = 7; long long read() { long long s = 0, w = 1; char c; while (c = getchar(), c > '9' || c < '0') if (c == '-') w = -1; while (c >= '0' && c <= '9') s = s * 10 + c - '0', c = getchar(); return s * w; } void write(long long x) { if (x < 0) putchar('-'), x = -x; if (x >= 10) write(x / 10); putchar(x % 10 | '0'); } void wsp(long long x) { write(x); putchar(' '); } void wln(long long x) { write(x); putchar('\n'); } long long n, m; long long a[N]; struct seg { long long z, ps; long long s[N << 2]; void pushup(long long ts) { s[ts] = s[(ts << 1)] + s[(ts << 1 | 1)]; } long long Val(long long x) { x += ps; long long p = 2 * (z - 1); if (x % p == 0) return 2; if (x % p <= z) return x % p; return 2 * z - x % p; } void build(long long ts, long long l, long long r) { if (l == r) { s[ts] = a[l] * Val(l); return; } long long mid = (l + r) >> 1; build((ts << 1), l, mid); build((ts << 1 | 1), mid + 1, r); pushup(ts); } void change(long long ts, long long l, long long r, long long x, long long v) { if (l == r) { s[ts] = v * Val(l); return; } long long mid = (l + r) >> 1; if (x <= mid) change((ts << 1), l, mid, x, v); else change((ts << 1 | 1), mid + 1, r, x, v); pushup(ts); } long long query(long long ts, long long l, long long r, long long L, long long R) { if (l == L && r == R) return s[ts]; long long mid = (l + r) >> 1; if (R <= mid) return query((ts << 1), l, mid, L, R); else if (L > mid) return query((ts << 1 | 1), mid + 1, r, L, R); else return query((ts << 1), l, mid, L, mid) + query((ts << 1 | 1), mid + 1, r, mid + 1, R); } } T[7][11]; void change(long long l, long long x) { for (long long i = 2; i <= 6; i++) for (long long j = 0; j < 2 * (i - 1); j++) T[i][j].change(1, 1, n, l, x); } signed main() { n = read(); for (long long i = 1; i <= n; i++) a[i] = read(); for (long long i = 2; i <= 6; i++) for (long long j = 0; j < 2 * (i - 1); j++) { T[i][j].z = i; T[i][j].ps = j; T[i][j].build(1, 1, n); } m = read(); for (long long i = 1, opt, l, r, x; i <= m; i++) { opt = read(); if (opt == 1) { l = read(); x = read(); change(l, x); } else { l = read(); r = read(); x = read(); long long p = 2 * (x - 1); wln(T[x][(p - l % p + 1) % p].query(1, 1, n, l, r)); } } }
#include <bits/stdc++.h> using namespace std; const int N = 111111; const long long OO = (long long)1 * 1e18; long long arr[N]; long long tree[7][13][N]; int n, q; void update(int x, long long y) { for (int z = 2; z <= 6; z++) for (int j = 0; j < 2 * (z - 1); j++) { int zd = (x + 2 * (z - 1) - j) % (2 * (z - 1)); if (zd == 0) zd = 2; else if (zd > z) zd = 2 * z - zd; for (int t = x; t < N; t += t - (t & (t - 1))) tree[z][j][t] += y * zd; } } long long ask(int x, int z, int d) { long long ret = 0; for (; x; x &= x - 1) ret += tree[z][d][x]; return ret; } int main() { cin >> n; for (int i = 1; i <= n; i++) { cin >> arr[i]; update(i, arr[i]); } cin >> q; while (q--) { int t, x, y, z; cin >> t; if (t == 1) { cin >> x >> y; update(x, -arr[x]); arr[x] = y; update(x, arr[x]); } else { cin >> x >> y >> z; int m = 2 * (z - 1), j; for (int k = 0; k < m; k++) { int zd = (x + m - k) % m; if (zd == 0) zd = 2; else if (zd > z) zd = 2 * z - zd; if (zd == 1) { j = k; break; } } cout << ask(y, z, j) - ask(x - 1, z, j) << "\n"; } } return 0; }
#include <bits/stdc++.h> inline int lb(int a) { return a & (-a); } long long a[100100], bit[7][15][100100]; int n, m, t; inline void adj(int z, int zm, int pos, long long val) { for (int i = pos; i <= n; i += lb(i)) bit[z][zm][i] += val; } inline long long qry(int z, int zm, int pos) { if (pos <= 0) return 0; long long rt = 0; for (int i = pos; i > 0; i -= lb(i)) rt += bit[z][zm][i]; return rt; } inline long long sum(int z, int zm, int l, int r) { int z2 = z * 2 - 2; int lb = l + zm - 1, rb = r; if (lb > r) return 0; while (rb % z2 != lb % z2) rb--; lb -= z2; if (rb < l) return 0; return qry(z, rb % z2, rb) - qry(z, lb % z2, lb); } inline int s(int z, int i) { int mod = i % (2 * z - 2); if (mod == 0) return 2; else if (mod <= z) return mod; else return 2 * z - mod; } inline void update(int p, int v) { for (int z = 2; z <= 6; z++) { int z2 = z * 2 - 2; adj(z, p % z2, p, v - a[p]); } a[p] = v; } int main() { scanf("%d", &n); for (int i = 1; i <= n; i++) { int in; scanf("%d", &in); update(i, in); } scanf("%d", &m); while (m-- > 0) { scanf("%d", &t); if (t == 1) { int p, v; scanf("%d%d", &p, &v); update(p, v); } else { int l, r, z; scanf("%d%d%d", &l, &r, &z); long long ans = 0; int z2 = z * 2 - 2; for (int i = 1; i <= z2; i++) { ans += s(z, i) * sum(z, i, l, r); } printf("%I64d\n", ans); } } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 1e5 + 50; int a[N], n, m; long long b[N], tree[5][11][4 * N]; vector<long long> zig[7][11]; vector<long long> getzig(int z) { vector<long long> res(2 * N); int dir = 0, u = 1; for (int i = 0; i < 2 * N; i++) { res[i] = u; if (u == z || u == 1) dir = !dir; if (dir) u++; else u--; } return res; } vector<long long> rot(vector<long long> zig, int z) { vector<long long> res = zig; for (int i = 0; i < zig.size() - 2 * z; i++) res[i] = res[i + 2 * (z - 1) - 1]; return res; } void build(int l, int r, int id, long long tree[4 * N]) { if (l == r) { tree[id] = b[l]; return; } int mid = (l + r) / 2; build(l, mid, id * 2, tree); build(mid + 1, r, id * 2 + 1, tree); tree[id] = tree[id * 2] + tree[id * 2 + 1]; } void modify(int l, int r, int pos, int id, long long val, long long tree[4 * N]) { if (l == r) { tree[id] = val; return; } int mid = (l + r) / 2; if (pos <= mid) modify(l, mid, pos, id * 2, val, tree); else modify(mid + 1, r, pos, id * 2 + 1, val, tree); tree[id] = tree[id * 2] + tree[id * 2 + 1]; } long long query(int x, int y, int l, int r, int id, long long tree[4 * N]) { if (l >= x && r <= y) return tree[id]; if (y < l || x > r) return 0; int mid = (l + r) / 2; return query(x, y, l, mid, id * 2, tree) + query(x, y, mid + 1, r, id * 2 + 1, tree); } int main() { scanf("%d", &n); for (int i = 0; i < n; i++) scanf("%d", &a[i]); for (int z = 2; z <= 6; z++) { zig[z][0] = getzig(z); for (int shift = 0; shift < 2 * (z - 1); shift++) { for (int i = 0; i < n; i++) b[i] = zig[z][shift][i] * 1ll * a[i]; build(0, n - 1, 1, tree[z - 2][shift]); zig[z][shift + 1] = rot(zig[z][shift], z); } printf("\n"); } scanf("%d", &m); for (int i = 0; i < m; i++) { int tp; scanf("%d", &tp); if (tp == 1) { long long pi, val; scanf("%lld%lld", &pi, &val); for (int z = 2; z <= 6; z++) { for (int shift = 0; shift < 2 * (z - 1); shift++) { modify(0, n - 1, pi - 1, 1, val * 1ll * zig[z][shift][pi - 1], tree[z - 2][shift]); } } } else { int l, r, z; scanf("%d%d%d", &l, &r, &z); printf("%lld\n", query(l - 1, r - 1, 0, n - 1, 1, tree[z - 2][(l - 1) % (2 * (z - 1))])); } } return 0; }
#include <bits/stdc++.h> long long bit[10][10][100001]; long long sum(long long *b, int i) { long long s = 0; while (i > 0) { s += b[i]; i -= i & -i; } return s; } void add(long long *b, int i, long long x) { while (i <= 100000) { b[i] += x; i += i & -i; } } int main() { int n, m, i, j; int a[100000]; scanf("%d", &n); for (i = 0; i < n; i++) { scanf("%d", &a[i]); for (j = 0; j < 10; j++) { add(bit[j][i % (j + 1)], i + 1, a[i]); } } scanf("%d", &m); for (i = 0; i < m; i++) { int t; scanf("%d", &t); if (t == 1) { int p, v; scanf("%d %d", &p, &v); for (j = 0; j < 10; j++) { add(bit[j][(p - 1) % (j + 1)], p, v - a[p - 1]); } a[p - 1] = v; } else { int l, r, z; long long ans = 0; scanf("%d %d %d", &l, &r, &z); for (j = 1; j <= 2 * (z - 1); j++) { int c; if (j % (2 * (z - 1)) == 0) { c = 2; } else if (j % (2 * (z - 1)) <= z) { c = j % (2 * (z - 1)); } else { c = 2 * z - j % (2 * (z - 1)); } ans += (sum(bit[2 * (z - 1) - 1][(l + j - 2) % (2 * (z - 1))], r) - sum(bit[2 * (z - 1) - 1][(l + j - 2) % (2 * (z - 1))], l - 1)) * c; } printf("%I64d\n", ans); } } return 0; }
#include <bits/stdc++.h> #pragma comment(linker, "/STACK:100000000,100000000") using namespace std; const long long inf = 1e9 + 7; const long long mod = 1e9 + 7; const double eps = 1e-9; const double PI = 2 * acos(0.0); const double E = 2.71828; struct SegTree { long long* t; void build(long long pos, long long L, long long R, long long a[]) { if (L > R) return; if (L == R) t[pos] = a[L]; else { long long Mid = (L + R) / 2; build(pos * 2, L, Mid, a); build(pos * 2 + 1, Mid + 1, R, a); t[pos] = t[pos * 2] + t[pos * 2 + 1]; } } long long get(long long pos, long long tl, long long tr, long long L, long long R) { if (L > R) return 0; if (L == tl && R == tr) return t[pos]; long long Mid = (tl + tr) / 2; long long i = get(pos * 2, tl, Mid, L, min(Mid, R)); long long j = get(pos * 2 + 1, Mid + 1, tr, max(L, Mid + 1), R); return i + j; } void update(long long pos, long long tl, long long tr, long long P, long long val) { if (tl == tr) t[pos] = val; else { long long Mid = (tl + tr) / 2; if (P <= Mid) update(pos * 2, tl, Mid, P, val); else update(pos * 2 + 1, Mid + 1, tr, P, val); t[pos] = t[pos * 2] + t[pos * 2 + 1]; } } } t[7][14]; long long aa[100001], bb[100001], A[7][14][100001], C[7][100001]; int main(void) { long long n; cin >> n; for (int i = 0; i < n; i++) { scanf("%I64d", &aa[i]); } for (int i = 2; i <= 6; i++) { for (int y = 1; y <= i; y++) { long long u = 1, h = y - 1; for (int j = 0; j <= n; j++) { h += u; if (h == i) u = -1; if (h == 1) u = 1; bb[j] = h * aa[j]; A[i][y][j] = h; if (h == 1) C[i][j] = y; } t[i][y].t = new long long[4 * n + 1]; t[i][y].build(1, 0, n - 1, bb); } for (int y = 1; y < i; y++) { long long u = -1, h = i - y + 1; for (int j = 0; j <= n; j++) { h += u; if (h == i) u = -1; if (h == 1) u = 1; bb[j] = h * aa[j]; A[i][y + i][j] = h; if (h == 1) C[i][j] = y + i; } t[i][i + y].t = new long long[4 * n + 1]; t[i][i + y].build(1, 0, n - 1, bb); } } long long m; cin >> m; for (int i = 0; i < m; i++) { long long T; scanf("%I64d", &T); if (T == 1) { long long a, b; scanf("%I64d%I64d", &a, &b); a--; for (int j = 2; j <= 6; j++) { for (int y = 1; y <= j; y++) { t[j][y].update(1, 0, n - 1, a, b * A[j][y][a]); } for (int y = 1; y < j; y++) { t[j][j + y].update(1, 0, n - 1, a, b * A[j][j + y][a]); } } } else { long long a, b, c; scanf("%I64d%I64d%I64d", &a, &b, &c); a--, b--; long long w1 = C[c][a]; printf("%I64d\n", t[c][w1].get(1, 0, n - 1, a, b)); } } return 0; }
#include <bits/stdc++.h> using namespace std; const long long MAXN = 1e5 + 10; long long tree[MAXN * 4][7][11], s[6][MAXN], a[MAXN]; void Pushup(long long u, long long len) { long long z, i, j; for (z = 2; z <= 6; z++) for (i = 0; i < 2 * (z - 1); i++) tree[u][z][i] = tree[u * 2][z][i] + tree[u * 2 + 1][z][(i + len) % (2 * (z - 1))]; return; } void Build(long long u, long long l, long long r) { long long z, i; if (l == r) { for (z = 2; z <= 6; z++) for (i = 0; i < (z - 1) * 2; i++) tree[u][z][i] = a[l] * s[z][i]; return; } long long mid = (l + r) >> 1; Build(u * 2, l, mid); Build(u * 2 + 1, mid + 1, r); Pushup(u, mid - l + 1); } void Update(long long u, long long l, long long r, long long pos, long long val) { long long z, i; if (l == r) { for (z = 2; z <= 6; z++) for (i = 0; i < 2 * (z - 1); i++) tree[u][z][i] = val * s[z][i]; return; } long long mid = (l + r) >> 1; if (pos <= mid) Update(u * 2, l, mid, pos, val); else Update(u * 2 + 1, mid + 1, r, pos, val); Pushup(u, mid - l + 1); } long long Query(long long u, long long L, long long R, long long l, long long r, long long z, long long i) { if (L == l && R == r) return tree[u][z][i]; long long mid = (L + R) >> 1; if (r <= mid) return Query(u * 2, L, mid, l, r, z, i); if (l > mid) return Query(u * 2 + 1, mid + 1, R, l, r, z, i); return Query(u * 2, L, mid, l, mid, z, i) + Query(u * 2 + 1, mid + 1, R, mid + 1, r, z, (i + mid - l + 1) % (2 * (z - 1))); } int main() { long long n, m, z, i, j; scanf("%lld", &n); for (i = 1; i <= n; i++) scanf("%lld", &a[i]); for (z = 2; z <= 6; z++) { long long mod = 2 * (z - 1); for (i = 1; i <= 100000; i++) { if (i % mod == 0) s[z][i - 1] = 2; else if (i % mod <= z) s[z][i - 1] = i % mod; else s[z][i - 1] = (z * 2) - (i % mod); } } Build(1, 1, n); scanf("%lld", &m); for (i = 1; i <= m; i++) { long long op; scanf("%lld", &op); if (op == 1) { long long pos, val; scanf("%lld %lld", &pos, &val); Update(1, 1, n, pos, val); } else { long long l, r, z; scanf("%lld %lld %lld", &l, &r, &z); printf("%lld\n", Query(1, 1, n, l, r, z, 0)); } } return 0; }
#include <bits/stdc++.h> #pragma comment(linker, "/STACK:256000000") using namespace std; const int nmax = 100009; long long a[nmax]; int n; long long F[8][13][nmax]; void update(int a, int b, int i, long long val) { for (; i < nmax; i = (2 * i) - (i & (i - 1))) { F[a][b][i] += val; } } long long get(int a, int b, int i) { long long ans = 0; for (; i > 0; i = i & (i - 1)) ans += F[a][b][i]; return ans; } int Z(int z, int p) { int tmp = 2 * (z - 1); p %= tmp; p += tmp; p += tmp; p %= tmp; if (p == 0) return 2; if (p <= z) return p; return 2 * z - p; } int main() { cin >> n; for (int i = 1; i <= n; ++i) { cin >> a[i]; } for (int z = 2; z <= 6; ++z) { for (int l = 0; l < 2 * (z - 1); ++l) { for (int i = 1; i <= n; ++i) { long long fz = Z(z, i - l + 1); update(z, l, i, fz * a[i]); } } } int T; cin >> T; for (; T > 0; --T) { int op; cin >> op; if (op == 1) { int p; long long val; cin >> p >> val; for (int z = 2; z <= 6; ++z) { for (int l = 0; l < 2 * (z - 1); ++l) { long long fz = Z(z, p - l + 1); update(z, l, p, fz * (val - a[p])); } } a[p] = val; } else { int l, r, z; cin >> l >> r >> z; long long ans = get(z, l % (2 * (z - 1)), r) - get(z, l % (2 * (z - 1)), l - 1); cout << ans << endl; } } return 0; }
#include <bits/stdc++.h> using namespace std; long long tree[12][12][(1 << 17)]; void add(int id1, int id2, int pos, long long val) { for (int i = pos; i < (1 << 17); i = ((i) | (i + 1))) tree[id1][id2][i] += val; } long long sum(int id1, int id2, int pos) { long long ans = 0; for (int i = pos; i > 0; i = ((i) & (i - 1))) ans += tree[id1][id2][i - 1]; return ans; } int a[100010]; void update(int pos, int x) { int mod, i; int d = x - a[pos]; a[pos] = x; for (mod = 2; mod <= 10; mod++) add(mod, pos % mod, pos, d); } long long query(int L, int R, int mod) { int i; long long ans = 0; for ((i) = 0; (i) < (int)(mod); (i)++) { int coef = 1 + min(i, mod - i); ans += coef * (sum(mod, (L + i) % mod, R) - sum(mod, (L + i) % mod, L)); } return ans; } int main(void) { int N, Q, mod, i; scanf("%d", &N); for ((i) = 0; (i) < (int)(N); (i)++) scanf("%d", &a[i]); for (mod = 2; mod <= 10; mod += 2) for ((i) = 0; (i) < (int)(N); (i)++) add(mod, i % mod, i, a[i]); scanf("%d", &Q); for ((i) = 0; (i) < (int)(Q); (i)++) { int t, p, v, l, r, z; scanf("%d", &t); if (t == 1) { scanf("%d%d", &p, &v); update(p - 1, v); } else { scanf("%d%d%d", &l, &r, &z); long long ans = query(l - 1, r, 2 * (z - 1)); cout << ans << endl; } } return 0; }
#include <bits/stdc++.h> using namespace std; const double PI = acos(-1.0); const int INF = 1000 * 1000 * 1000 + 7; const int MOD = 1000 * 1000 * 1000 + 7; const int MAX = 1000 * 100 + 47; struct node { long long ss[6 + 1][12]; }; long long a[MAX]; node t[MAX]; vector<long long> ss[6 + 4]; int n; void calcs() { for (int z = (2); z < (7); z++) { for (int i = (1); i < (2 * (z - 1) + 1); i++) { long long p = i % (2 * (z - 1)); if (p == 0) { ss[z].push_back(2); continue; } if (p <= z) { ss[z].push_back(p); continue; } ss[z].push_back(2 * z - p); } } } int get_ind(int ind1, int z1, int z, int ind2) { int p = 2 * (z - 1), vid = abs(ind2 - ind1); int ind; if (ind1 <= ind2) { ind = (z1 + vid) % p; } else { ind = (z1 - vid + vid * p) % p; } return ind; } int get_mult(int ind1, int z1, int z, int ind2) { return ss[z][get_ind(ind1, z1, z, ind2)]; } void add(int ind, long long val) { int tochange = ind; for (; ind < n; ind = (ind | (ind + 1))) { int ind1 = (ind & (ind + 1)); for (int z = (2); z < (7); z++) { for (int z1 = (0); z1 < (ss[z].size()); z1++) { int mult = get_mult(ind1, z1, z, tochange); t[ind].ss[z][z1] += mult * val; } } } } long long getPref(int ind, int z, int z1) { int begInd = ind; long long res = 0; for (; ind >= 0; ind = ((ind & (ind + 1)) - 1)) { int ind1 = (ind & (ind + 1)); int toSumInd = get_ind(begInd, z1, z, ind1); res += t[ind].ss[z][toSumInd]; } return res; } long long getSum(int l, int r, int z) { int indr = get_ind(l, 0, z, r); long long res = getPref(r, z, indr); if (l) { int indl = get_ind(l, 0, z, l - 1); res -= getPref(l - 1, z, indl); } return res; } int main() { ios::sync_with_stdio(false); cin.tie(0); calcs(); cin >> n; int x; for (int i = (0); i < (n); i++) { cin >> a[i]; add(i, a[i]); } int m, type, p, v, l, r, z; cin >> m; for (int i = (0); i < (m); i++) { cin >> type; if (type == 1) { cin >> p >> v; p--; add(p, v - a[p]); a[p] = v; } else { cin >> l >> r >> z; l--; r--; long long res = getSum(l, r, z); cout << res << "\n"; } } return 0; }
#include <bits/stdc++.h> using namespace std; const int P = 1e9 + 7, mo1 = 1234567891, mo2 = 1e9 + 123; const int N = 1e3 + 12, Base = 131, M = 2e3 + 13; template <class Tv> Tv umin(Tv a, Tv b) { return a < b ? a : b; } template <class Tv> Tv umax(Tv a, Tv b) { return a > b ? a : b; } int n, m, s[7][90]; int a[100005]; struct BIT { long long C[100005]; long long& operator[](int alp) { return C[alp]; } int lowbit(int x) { return x & (-x); } void modify(int x, long long k) { for (int i = x; i <= n; i += lowbit(i)) C[i] += k; } void pri() { for (int i = 1; i <= n; i++) { cout << i << ':' << C[i] << endl; } } long long query(int x) { long long res = 0; for (int i = x; i; i -= lowbit(i)) { res += C[i]; } return res; } } bit[7][13]; int omi(int v, int z) { int alp = v % (2 * z - 2); if (!alp) return s[z][v] = 2, 2; else if (alp > z) return s[z][v] = 2 * z - alp, s[z][v]; else return s[z][v] = alp, alp; } int pos(int i, int a, int b) { if (i == 1) return a; int tmp = i % b; tmp = !tmp ? b : tmp; if (a >= tmp) return a - tmp + 1; else return b + 1 - (tmp - a); } void change(int ip, int val) { for (int j = 2; j <= 6; j++) for (int k = 1; k <= 2 * (j - 1); k++) bit[j][pos(ip, k, 2 * j - 2)].modify(ip, 1ll * (val - a[ip]) * s[j][k]); a[ip] = val; } int main() { scanf("%d", &n); for (int j = 2; j <= 6; j++) { for (int k = 1; k <= 2 * (j - 1); k++) omi(k, j); } for (int i = 1; i <= n; i++) { scanf("%d", &a[i]); for (int j = 2; j <= 6; j++) { for (int k = 1; k <= 2 * (j - 1); k++) { bit[j][pos(i, k, 2 * j - 2)].modify(i, 1ll * a[i] * s[j][k]); } } } scanf("%d", &m); while (m--) { int opt; scanf("%d", &opt); if (opt == 1) { int ip, v; scanf("%d%d", &ip, &v); change(ip, v); } else { int ql, qr, z; scanf("%d%d%d", &ql, &qr, &z); int ip = pos(ql, 1, (z - 1) * 2); long long res = bit[z][ip].query(qr) - bit[z][ip].query(ql - 1); printf("%lld\n", res); } } return 0; }
#include <bits/stdc++.h> using namespace std; template <class T> void PA(T x[], int n) { for (int i = 0; i < n; ++i) cout << x[i] << " "; cout << endl; } const int N = 100000; int z[5][20]; int a[N]; int len[5]; struct Seg { int l, r, lc, rc; long long s[5][10]; } seg[N * 2]; int segn; void update(Seg &ns, Seg &ls, Seg &rs) { for (int n_ = (5), z = 0; z < n_; ++z) for (int n_ = (len[z]), o = 0; o < n_; ++o) { ns.s[z][o] = ls.s[z][o] + rs.s[z][o]; } } int seg_init(int l, int r) { int p = segn++; Seg &ns = seg[p]; ns.l = l, ns.r = r; if (l == r) { for (int n_ = (5), zz = 0; zz < n_; ++zz) for (int n_ = (len[zz]), o = 0; o < n_; ++o) ns.s[zz][o] = (long long)z[zz][(l + o) % len[zz]] * a[l]; return p; } int mid = (l + r) / 2; ns.lc = seg_init(l, mid); ns.rc = seg_init(mid + 1, r); update(ns, seg[ns.lc], seg[ns.rc]); return p; } void seg_ins(int p, int x, int v) { Seg &ns = seg[p]; if (ns.l == ns.r) { for (int n_ = (5), zz = 0; zz < n_; ++zz) for (int n_ = (len[zz]), o = 0; o < n_; ++o) ns.s[zz][o] = (long long)z[zz][(ns.l + o) % len[zz]] * v; return; } int mid = (ns.l + ns.r) / 2; if (x <= mid) seg_ins(ns.lc, x, v); else seg_ins(ns.rc, x, v); update(ns, seg[ns.lc], seg[ns.rc]); } long long seg_find(int p, int l, int r, int zz, int o) { Seg &ns = seg[p]; if (l <= ns.l && ns.r <= r) { return ns.s[zz][o]; } int mid = (ns.l + ns.r) / 2; long long ret = 0; if (l <= mid) ret += seg_find(ns.lc, l, r, zz, o); if (r > mid) ret += seg_find(ns.rc, l, r, zz, o); return ret; } int main(int argc, char *argv[]) { for (int n_ = (5), dz = 0; dz < n_; ++dz) for (int n_ = (20), di = 0; di < n_; ++di) { int zz = dz + 2; int i = di + 1; int &ret = z[dz][di]; if (i % (2 * (zz - 1)) == 0) ret = 2; else if (i % (int)(2 * (zz - 1)) <= zz) ret = i % (2 * (zz - 1)); else ret = 2 * zz - i % (2 * (zz - 1)); } for (int n_ = (5), zz = 0; zz < n_; ++zz) len[zz] = (zz + 1) * 2; int n; cin >> n; for (int n_ = (n), i = 0; i < n_; ++i) cin >> a[i]; seg_init(0, n - 1); int m; cin >> m; while (m--) { int t; cin >> t; if (t == 1) { int p, v; cin >> p >> v; p--; seg_ins(0, p, v); } else { int l, r, z; cin >> l >> r >> z; l--, r--, z -= 2; long long ret = seg_find(0, l, r, z, (len[z] - l % len[z]) % len[z]); cout << ret << endl; } } return 0; }
#include <bits/stdc++.h> long long size, n; long long tre[7][17][262150]; void up(long long Z, long long N, long long x, long long v) { x += size - 1; long long d = v - tre[Z][N][x]; while (x) tre[Z][N][x] += d, x /= 2; } long long read(long long Z, long long N, long long s, long long e) { s += size - 1; e += size - 1; long long r = 0; while (s <= e) { if (s % 2 == 1) r += tre[Z][N][s], s++; if (e % 2 == 0) r += tre[Z][N][e], e--; s /= 2, e /= 2; } return r; } void UP(long long P, long long K) { long long i, j, d; for (i = 2; i <= 6; i++) { int T = 2 * i - 2; for (j = 1; j <= T; j++) { d = (P + T - j + 1) % T; if (d == 0) d = 2; if (d > i) d = 2 * i - d; up(i, j, P, d * K); } } } int main() { scanf("%I64d", &n); long long i, k, j, p; for (size = 1; size < n; size *= 2) ; for (p = 1; p <= n; p++) { scanf("%I64d", &k); UP(p, k); } scanf("%I64d", &n); while (n--) { scanf("%I64d", &p); if (p == 1) { scanf("%I64d%I64d", &p, &k); UP(p, k); } else { long long s, e, z; long long D; scanf("%I64d%I64d%I64d", &s, &e, &z); D = 0; long long rst = 0; k = s % (z * 2 - 2); if (k == 0) k = z * 2 - 2; rst += read(z, k, s, e); printf("%I64d\n", rst); } } }
#include <bits/stdc++.h> using namespace std; template <typename T, size_t size> class SegmentTree { size_t pow2; T* tree; public: SegmentTree() { for (pow2 = 1; pow2 < size; pow2 <<= 1) continue; tree = new T[pow2 << 1]; } template <class UnaryFunction> void push(int p, const T& x, UnaryFunction func) { for (tree[p += pow2] = x; p > 1; p >>= 1) tree[p >> 1] = func(tree[p], tree[p ^ 1]); } template <class UnaryFunction> T query(int l, int r, UnaryFunction func, const T& initial = T()) { T res = initial; for (l += pow2, r += pow2; l < r; l >>= 1, r >>= 1) { if (l & 1) res = func(res, tree[l++]); if (r & 1) res = func(res, tree[--r]); } return res; } }; long long SUM(const long long& x, const long long& y) { return x + y; } const size_t MAX_N = 1e5 + 5; SegmentTree<long long, MAX_N> segtree[7][11]; inline long long z(int i, int z) { if (i == 2 * z - 2) return 2; if (i % (2 * z - 2) <= z) return i % (2 * z - 2); return 2 * z - i % (2 * z - 2); } inline void modify(int i, long long a) { for (int j = 2, t = 2; j <= 6; j++, t += 2) for (int k = 0; k < t; k++) segtree[j][(k + t * 60000 - i) % t].push(i, a * z(k + 1, j), SUM); } int main() { ios::sync_with_stdio(false); int n, m, t, p, v, l, r, z, a; cin >> n; for (int i = 0; i < n; i++) { cin >> a; modify(i, a); } cin >> m; while (m-- && cin >> t) if (t == 1) { cin >> p >> v; modify(p - 1, v); } else { cin >> l >> r >> z; t = 2 * z - 2; --l; cout << segtree[z][(t * 60000 - l) % t].query(l, r, SUM) << '\n'; } }
#include <bits/stdc++.h> using namespace std; int n, a[111111]; long long s[7][13][111111]; void add(int x, long long y) { for (int i = (2); i <= (6); ++i) for (int j = 0; j < (2 * (i - 1)); ++j) { int zd = (x + 2 * (i - 1) - j) % (2 * (i - 1)); if (zd == 0) zd = 2; else if (zd > i) zd = 2 * i - zd; for (int t = x; t < 111111; t += t - (t & (t - 1))) s[i][j][t] += y * zd; } } long long ask(int x, int z, int d) { long long ret = 0; for (; x; x &= x - 1) ret += s[z][d][x]; return ret; } int main() { scanf("%d", &n); for (int i = (1); i <= (n); ++i) { scanf("%d", a + i); add(i, a[i]); } int q; scanf("%d", &q); for (int qq = 0; qq < (q); ++qq) { int t, x, y, z; scanf("%d", &t); if (t == 1) { scanf("%d%d", &x, &y); add(x, -a[x]); a[x] = y; add(x, a[x]); } else { scanf("%d%d%d", &x, &y, &z); int m = 2 * (z - 1); int j; for (int jj = 0; jj < (m); ++jj) { int zd = (x + m - jj) % m; if (zd == 0) zd = 2; else if (zd > z) zd = 2 * z - zd; if (zd == 1) { j = jj; break; } } printf("%I64d\n", ask(y, z, j) - ask(x - 1, z, j)); } } return 0; }
#include <bits/stdc++.h> using namespace std; const int MAXZ = 7; struct SegmentTree { int n; long long *s; static int L(int i) { return i << 1; } static int R(int i) { return L(i) ^ 1; } void init(int m) { n = 1; while (n < m) { n <<= 1; } s = new long long[n + n]; fill(s, s + n + n, 0); } void set(int p, int v) { p += n; v -= s[p]; while (p > 0) { s[p] += v; p >>= 1; } } long long get(int p, int pl, int pr, int l, int r) { l = max(l, pl); r = min(r, pr); if (l >= r) { return 0; } else if (pl == l && pr == r) { return s[p]; } else { int pm = (pl + pr) / 2; return get(L(p), pl, pm, l, r) + get(R(p), pm, pr, l, r); } } long long get(int l, int r) { return get(1, 0, n, l, r); } } st[MAXZ][MAXZ * 2]; inline int mz(int z) { return 2 * (z - 1); } inline int siz(int i, int z) { int r = i % mz(z); if (r == 0) { return 2; } else if (r <= z) { return r; } else { return 2 * z - r; } } inline int idx(int i, int j, int z) { return (i - j + mz(z) - 1) / mz(z); } int main() { int n, m, t, l, r, z; long long ans; scanf("%d", &n); for (int i = 2; i < MAXZ; ++i) { for (int j = 0; j < mz(i); ++j) { st[i][j].init(n / mz(i) + 2); } } for (int i = 1; i <= n; ++i) { scanf("%d", &z); for (int j = 2; j < MAXZ; ++j) { st[j][i % mz(j)].set(i / mz(j), z); } } scanf("%d", &m); for (int i = 0; i < m; ++i) { scanf("%d%d%d", &t, &l, &r); if (t == 1) { for (int j = 2; j < MAXZ; ++j) { st[j][l % mz(j)].set(l / mz(j), r); } } else { scanf("%d", &z); ans = 0; ++r; for (int j = 0; j < mz(z); ++j) { ans += siz((j - l % mz(z) + 1 + mz(z)) % mz(z), z) * st[z][j].get(idx(l, j, z), idx(r, j, z)); } printf("%I64d\n", ans); } } return 0; }
#include <bits/stdc++.h> #pragma comment(linker, "/STACK:100000000,100000000") using namespace std; const long long inf = 1e9 + 7; const long long mod = 1e9 + 7; const double eps = 1e-9; const double PI = 2 * acos(0.0); const double E = 2.71828; struct SegTree { long long* t; void build(long long pos, long long L, long long R, long long a[]) { if (L > R) return; if (L == R) t[pos] = a[L]; else { long long Mid = (L + R) / 2; build(pos * 2, L, Mid, a); build(pos * 2 + 1, Mid + 1, R, a); t[pos] = t[pos * 2] + t[pos * 2 + 1]; } } long long get(long long pos, long long tl, long long tr, long long L, long long R) { if (L > R) return 0; if (L == tl && R == tr) return t[pos]; long long Mid = (tl + tr) / 2; long long i = get(pos * 2, tl, Mid, L, min(Mid, R)); long long j = get(pos * 2 + 1, Mid + 1, tr, max(L, Mid + 1), R); return i + j; } void update(long long pos, long long tl, long long tr, long long P, long long val) { if (tl == tr) t[pos] = val; else { long long Mid = (tl + tr) / 2; if (P <= Mid) update(pos * 2, tl, Mid, P, val); else update(pos * 2 + 1, Mid + 1, tr, P, val); t[pos] = t[pos * 2] + t[pos * 2 + 1]; } } } t[7][14]; long long aa[100001], bb[100001], A[7][14][100001], C[7][100001]; int main(void) { long long n; cin >> n; for (int i = 0; i < n; i++) { cin >> aa[i]; } for (int i = 2; i <= 6; i++) { for (int y = 1; y <= i; y++) { long long u = 1, h = y - 1; for (int j = 0; j <= n; j++) { h += u; if (h == i) u = -1; if (h == 1) u = 1; bb[j] = h * aa[j]; A[i][y][j] = h; if (h == 1) C[i][j] = y; } t[i][y].t = new long long[4 * n + 1]; t[i][y].build(1, 0, n - 1, bb); } for (int y = 1; y < i; y++) { long long u = -1, h = i - y + 1; for (int j = 0; j <= n; j++) { h += u; if (h == i) u = -1; if (h == 1) u = 1; bb[j] = h * aa[j]; A[i][y + i][j] = h; if (h == 1) C[i][j] = y + i; } t[i][i + y].t = new long long[4 * n + 1]; t[i][i + y].build(1, 0, n - 1, bb); } } long long m; cin >> m; for (int i = 0; i < m; i++) { long long T; cin >> T; if (T == 1) { long long a, b; cin >> a >> b; a--; for (int j = 2; j <= 6; j++) { for (int y = 1; y <= j; y++) { t[j][y].update(1, 0, n - 1, a, b * A[j][y][a]); } for (int y = 1; y < j; y++) { t[j][j + y].update(1, 0, n - 1, a, b * A[j][j + y][a]); ; ; } } } else { long long a, b, c; cin >> a >> b >> c; a--, b--; long long w1 = C[c][a]; cout << t[c][w1].get(1, 0, n - 1, a, b) << endl; } } return 0; }
#include <bits/stdc++.h> using namespace std; using namespace std; long long seg[400001][5][15]; long long val[7][15]; void insert(int idx, int s, int e, int p, long long v) { int x, y; if (s == e) { for (x = 2; x <= 6; x++) for (y = 1; y < 2 * x - 1; y++) seg[idx][x - 2][y] = val[x][y] * v; return; } int mid = (s + e) / 2; if (p <= mid) insert(idx * 2 + 1, s, mid, p, v); else insert(idx * 2 + 2, mid + 1, e, p, v); for (x = 2; x <= 6; x++) { for (y = 1; y < 2 * x - 1; y++) { seg[idx][x - 2][y] = seg[idx * 2 + 1][x - 2][y]; int a = (mid - s + y) % (2 * (x - 1)); seg[idx][x - 2][y] += seg[idx * 2 + 2][x - 2][a + 1]; } } } long long query(int idx, int s, int e, int st, int ed, int z, int ss) { if (s == st && e == ed) return seg[idx][z - 2][ss]; int mid = (s + e) / 2; if (ed <= mid) return query(idx * 2 + 1, s, mid, st, ed, z, ss); else if (st > mid) return query(idx * 2 + 2, mid + 1, e, st, ed, z, ss); int a = (mid - st + ss) % (2 * (z - 1)); return query(idx * 2 + 1, s, mid, st, mid, z, ss) + query(idx * 2 + 2, mid + 1, e, mid + 1, ed, z, a + 1); } int main() { int a, b, c, d, e, f, g, h, x, y, z; for (x = 2; x <= 6; x++) { a = 2 * (x - 1); for (y = 1; y < 2 * x - 1; y++) { if (y % a == 0) val[x][y] = 2; else if (y % a <= x) val[x][y] = y % a; else val[x][y] = 2 * x - (y % a); } } cin >> a; for (x = 1; x <= a; x++) { cin >> b; insert(0, 1, a, x, b); } cin >> b; for (x = 0; x < b; x++) { cin >> c; if (c == 1) { cin >> d >> e; insert(0, 1, a, d, (long long)e); } else { cin >> d >> e >> f; cout << query(0, 1, a, d, e, f, 1) << endl; } } }
#include <bits/stdc++.h> using namespace std; const int maxn = 100110; const int maxm = 100010; char s[maxn][5]; long long sum[maxm * 4][5][11]; int n; void init() { for (int i = 1; i < maxn; i++) for (int z = 2; z <= 6; z++) { int tp = i % (2 * (z - 1)); if (tp == 0) s[i][z - 2] = 2; else if (tp <= z) s[i][z - 2] = tp; else s[i][z - 2] = 2 * z - tp; } } void build(int pos, int l, int r) { for (int i = 2; i <= 6; i++) for (int j = 0; j <= 10; j++) sum[pos][i - 2][j] = 0; if (l == r) return; int mid = (l + r) >> 1; build((pos << 1), l, mid); build(((pos << 1) | 1), mid + 1, r); } void insert(int pos, int l, int r, int i, int a) { if (i < l || i > r) return; if (l == r) { for (int z = 2; z <= 6; z++) for (int j = 0; j <= 10; j++) sum[pos][z - 2][j] = (long long)s[i + j][z - 2] * a; return; } int mid = (l + r) >> 1; insert((pos << 1), l, mid, i, a); insert(((pos << 1) | 1), mid + 1, r, i, a); for (int z = 2; z <= 6; z++) for (int j = 0; j <= 10; j++) sum[pos][z - 2][j] = sum[(pos << 1)][z - 2][j] + sum[((pos << 1) | 1)][z - 2][j]; } long long search(int pos, int l, int r, int x, int y, int z, int offset) { if (y < l || r < x) return 0; if (x <= l && r <= y) return sum[pos][z - 2][offset]; int mid = (l + r) >> 1; return search((pos << 1), l, mid, x, y, z, offset) + search(((pos << 1) | 1), mid + 1, r, x, y, z, offset); } int main() { init(); while (~scanf("%d", &n)) { build(1, 1, n); for (int i = 1; i <= n; i++) { int a; scanf("%d", &a); insert(1, 1, n, i, a); } int m; scanf("%d", &m); while (m-- > 0) { int t, p, v, l, r, z; scanf("%d", &t); if (t == 1) { scanf("%d%d", &p, &v); insert(1, 1, n, p, v); } else { scanf("%d%d%d", &l, &r, &z); int offset = 0; if (s[l][z - 2] <= s[l + 1][z - 2]) { if (s[l][z - 2] == 1) offset = 0; else offset = z - s[l][z - 2] + z - 1; } else { offset = s[l][z - 2] - 1; } cout << search(1, 1, n, l, r, z, offset) << endl; } } } return 0; }
#include <bits/stdc++.h> using namespace std; long long a[100100], n; long long A[13][100100]; long long b[7][100100]; long long d[13][7][100100]; long long Q; inline long long lowbit(long long x) { return x & (x ^ (x - 1)); } long long getSum(long long delta, long long z, long long p) { long long r = 0; while (p) { r += d[delta][z][p]; p -= lowbit(p); } return r; } void update(long long _p, long long _x) { long long dx = _x - a[_p]; a[_p] = _x; for (int k = 0; k <= 12; k++) for (int z = 2; z <= 6; z++) { long long p = _p + k; long long x = dx * b[z][p]; while (p <= n + k) { d[k][z][p] += x; p += lowbit(p); } } } void init() { for (int _p = 1; _p <= n; _p++) { long long dx = a[_p]; for (int k = 0; k <= 12; k++) for (int z = 2; z <= 6; z++) { long long p = _p + k; long long x = dx * b[z][p]; p += lowbit(p); while (p <= n + k) { d[k][z][p] += x; p += lowbit(p); } } } } int main() { std::ios::sync_with_stdio(false); cin >> n; for (int i = 1; i <= n; i++) cin >> a[i]; for (int j = 0; j < 13; j++) for (int i = 1; i <= n; i++) A[j][i + j] = a[i]; cin >> Q; for (int k = 0; k <= 12; k++) { for (int z = 2; z <= 6; z++) { for (int j = 1; j <= n + k; j++) { int t, m = 2 * (z - 1); if (j % m == 0) t = 2; else if (j % m <= z) t = j % m; else t = 2 * z - j % m; b[z][j] = t; d[k][z][j] = t * A[k][j]; } } } init(); while (Q--) { long long op; cin >> op; if (op == 1) { long long p, v; cin >> p >> v; update(p, v); } else { long long l, r, z; cin >> l >> r >> z; long long m = 2 * z - 2; long long delta = m - (l - 1) % m; long long R = getSum(delta, z, r + delta); long long L = getSum(delta, z, l - 1 + delta); cout << R - L << endl; } } return 0; }
#include <bits/stdc++.h> using namespace std; int p[11][10], m[100100]; long long d[2 * (1 << 21)]; void add(int i, long long v) { for (i += (1 << 21), v -= d[i]; i; d[i] += v, i >>= 1) ; } long long get(int i, int j) { long long r; for (r = 0, i += (1 << 21), j += (1 << 21); i <= j; i >>= 1, j >>= 1) { if (i & 1) r += d[i++]; if (~j & 1) r += d[j--]; } return r; } int main() { int i, j, n, k, t, v, ii, jj, b; long long r; for (scanf("%d", &n), i = 0; i < n; scanf("%d", &m[i]), i++) ; for (t = 0, k = 2; k <= 10; k++) for (j = 0; j < k; j++) for (p[k][j] = t, i = j; i < n; add(t, m[i]), t++, i += k) ; for (scanf("%d", &n); n--;) { scanf("%d", &t); if (t == 1) { scanf("%d%d", &i, &j); i--; for (k = 2; k <= 10; add(p[k][i % k] + i / k, j), k++) ; } else { scanf("%d%d%d", &i, &j, &k); i--; j--; k = (k - 1) * 2; for (r = 0, t = 0; t < k; t++) { if (t > j) break; v = p[k][t]; ii = (i + ((t - i) % k + k) % k) / k; jj = (j - ((j - t) % k + k) % k) / k; b = ((t - i) % k + k) % k; r += get(v + ii, v + jj) * (b <= k / 2 ? b + 1 : k - b + 1); } printf("%I64d\n", r); } } return 0; }