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#include <bits/stdc++.h> using namespace std; const int N = 100005; const int MD = 1000000007; int n, m, q, cnt[N]; int fi[N], a[N]; int l[N], r[N], lst[N]; long long val[N]; int main() { ios_base::sync_with_stdio(0); cin >> n >> m; fi[1] = fi[2] = 1 % m; for (int i = 3; i < N; ++i) fi[i] = (fi[i - 1] + fi[i - 2]) % m; for (int i = 1; i <= n; ++i) cin >> a[i]; cin >> q; vector<pair<int, int> > v; for (int i = 1; i <= n; ++i) v.push_back(make_pair(a[i], i)); sort(v.begin(), v.end()); for (int _tmp = q, i = 1; i <= _tmp; ++i) cin >> l[i] >> r[i]; for (int i = 0; i < v.size(); ++i) { int x = v[i].first, y = v[i].second; for (int _tmp = q, j = 1; j <= _tmp; ++j) if (l[j] <= y && y <= r[j] && lst[j] < x) { lst[j] = x; cnt[j]++; val[j] += 1LL * fi[cnt[j]] * x; } } for (int _tmp = q, i = 1; i <= _tmp; ++i) cout << val[i] % m << '\n'; return 0; }
#include <bits/stdc++.h> using namespace std; const int MAX = 3e4 + 9; pair<int, int> a[MAX]; int n, m, f[MAX], q, ans[MAX], l[MAX], r[MAX], h[MAX], las[MAX]; int main() { cin >> n >> m, f[1] = 1, f[2] = 1; for (int i = 3; i <= n; i++) f[i] = (f[i - 1] + f[i - 2]) % m; for (int i = 1; i <= n; i++) cin >> a[i].first, a[i].second = i; sort(a + 1, a + n + 1); cin >> q; for (int i = 1; i <= q; i++) cin >> l[i] >> r[i], las[i] = -1; for (int i = 1; i <= n; i++) { int t = a[i].first % m; for (int j = 1; j <= q; j++) if (a[i].second >= l[j] && a[i].second <= r[j] && a[i].first != las[j]) las[j] = a[i].first, ans[j] = (ans[j] + f[++h[j]] * t) % m; } for (int i = 1; i <= q; i++) cout << ans[i] << '\n'; }
#include <bits/stdc++.h> using namespace std; const int sq = 179, MAXN = 3e4 + 10; int n, Mod, x; int ans[MAXN], f[MAXN], last[MAXN], now[MAXN], l[MAXN], r[MAXN], s, e; pair<int, int> a[MAXN]; int main() { ios::sync_with_stdio(false); scanf("%d%d", &n, &Mod); for (int i = 0; i < n; i++) scanf("%d", &a[i].first), a[i].second = i; f[0] = 1; f[1] = 1; for (int i = 2; i <= n; i++) f[i] = (f[i - 1] + f[i - 2]) % Mod; int q; scanf("%d", &q); for (int i = 0; i < q; i++) { scanf("%d%d", &l[i], &r[i]); l[i]--; } sort(a, a + n); memset(last, -1, sizeof last); for (int i = 0; i < n; i++) { x = a[i].first; a[i].first %= Mod; for (int j = 0; j < q; j++) if (l[j] <= a[i].second and r[j] > a[i].second and last[j] != x) { ans[j] = (ans[j] + f[now[j]++] * a[i].first) % Mod; last[j] = x; } } for (int i = 0; i < q; i++) printf("%d\n", ans[i]); return 0; }
#include <bits/stdc++.h> int n, m, a[30001], orig[30001], q, F[30001]; struct info { int f, g, siz; } se[300001]; struct query { int l, r, ord; } num[30001]; int pos[30001], ans[30001], cnt[30001], lim; bool cmp(query a, query b) { return pos[a.l] != pos[b.l] ? a.l < b.l : ((pos[a.l] & 1) ^ (a.r < b.r)); } info merge(info a, info b) { if (!b.siz) return a; return (info){(a.f * F[b.siz + 1] + a.g * F[b.siz] + b.f) % m, (a.f * F[b.siz] + a.g * F[b.siz - 1] + b.g) % m, a.siz + b.siz}; } void update(int root, int l, int r, int e) { if (l == r) { if (cnt[l]) se[root] = (info){orig[l], 0, 1}; else se[root] = (info){0, 0, 0}; return; } if ((l + r) >> 1 >= e) update(root << 1, l, (l + r) >> 1, e); else update(root << 1 | 1, ((l + r) >> 1) + 1, r, e); se[root] = merge(se[root << 1 | 1], se[root << 1]); } void add(int x) { if (!(cnt[a[x]]++)) update(1, 1, lim, a[x]); } void del(int x) { if (!(--cnt[a[x]])) update(1, 1, lim, a[x]); } signed main() { scanf("%d%d", &n, &m); for (int i = 1; i <= n; i++) { scanf("%d", a + i); orig[i] = a[i]; } std::sort(orig + 1, orig + n + 1); lim = std::unique(orig + 1, orig + n + 1) - orig - 1; for (int i = 1; i <= n; i++) a[i] = std::lower_bound(orig + 1, orig + lim + 1, a[i]) - orig; for (int i = 1; i <= lim; i++) orig[i] %= m; F[1] = F[2] = 1; for (int i = 3; i <= n; i++) F[i] = (F[i - 1] + F[i - 2]) % m; scanf("%d", &q); for (int i = 1; i <= q; i++) { scanf("%d%d", &num[i].l, &num[i].r); num[i].ord = i; } int bl = (int)sqrt(n); for (int i = 1; i <= n; i++) pos[i] = (i - 1) / bl + 1; std::sort(num + 1, num + q + 1, cmp); for (int i = 1, l = 1, r = 0; i <= q; i++) { while (r < num[i].r) add(++r); while (l > num[i].l) add(--l); while (l < num[i].l) del(l++); while (r > num[i].r) del(r--); ans[num[i].ord] = se[1].f; } for (int i = 1; i <= q; i++) printf("%d\n", ans[i]); }
#include <bits/stdc++.h> using namespace std; const int N = 30005; int Q, B; struct query { int l, r, id; bool operator<(const query &R) const { int i = l / B, j = R.l / B; if (i != j) return i < j; if (i & 1) return r < R.r; else return R.r < r; } } q[N]; int n, m, a[N], d[N], D; int cnt[N], res[N]; int fib[N][2]; struct stree { int a0, a1; int s; } t[N << 1]; inline int id(int l, int r) { return l + r | l != r; } void pushup(int p, int l, int mid, int r) { int L = id(l, mid), R = id(mid + 1, r); t[p].s = t[L].s + t[R].s; t[p].a0 = (t[L].a0 + fib[t[L].s][0] * t[R].a0 % Q + fib[t[L].s][1] * t[R].a1 % Q) % Q; t[p].a1 = (t[L].a1 + fib[t[L].s][0] * t[R].a1 % Q + fib[t[L].s][1] * (t[R].a0 + t[R].a1) % Q) % Q; } void modify(int l, int r, int x, int w) { int p = id(l, r); if (l == r) { t[p].s = w; t[p].a0 = t[p].a1 = w * d[x] % Q; return; } int mid = l + r >> 1; if (x <= mid) modify(l, mid, x, w); else modify(mid + 1, r, x, w); pushup(p, l, mid, r); } void add(int i) { int x = a[i]; if (++cnt[x] == 1) { modify(0, D, x, 1); } } void del(int i) { int x = a[i]; if (--cnt[x] == 0) { modify(0, D, x, 0); } } int main() { scanf("%d%d", &n, &Q); B = sqrt(n); fib[0][0] = 1, fib[1][1] = 1; for (int i = 2; i <= n + 1; ++i) { fib[i][0] = (fib[i - 2][0] + fib[i - 1][0]) % Q; fib[i][1] = (fib[i - 2][1] + fib[i - 1][1]) % Q; } for (int i = 0; i < n; ++i) { scanf("%d", &a[i]); d[D++] = a[i]; } sort(d, d + D); D = unique(d, d + D) - d; for (int i = 0; i < n; ++i) { a[i] = lower_bound(d, d + D, a[i]) - d; } scanf("%d", &m); for (int i = 0; i < m; ++i) { int x, y; scanf("%d%d", &x, &y); q[i] = (query){--x, --y, i}; } sort(q, q + m); int l = 0, r = -1; for (int i = 0; i < m; ++i) { while (r < q[i].r) { add(++r); } while (l > q[i].l) { add(--l); } while (r > q[i].r) { del(r--); } while (l < q[i].l) { del(l++); } res[q[i].id] = t[id(0, D)].a0 % Q; } for (int i = 0; i < m; ++i) printf("%d\n", res[i]); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 3e4 + 1; int n, m, q, f[N], a[N]; vector<int> vec; bitset<N> bit; int main() { scanf("%d %d", &n, &m); for (int i = 1; i <= n; i++) { scanf("%d", a + i); vec.push_back(a[i]); } f[1] = f[2] = 1; for (int i = 3; i <= n; i++) { f[i] = (f[i - 1] + f[i - 2]) % m; } sort(vec.begin(), vec.end()); vec.resize(unique(vec.begin(), vec.end()) - vec.begin()); for (int i = 1; i <= n; i++) { a[i] = lower_bound(vec.begin(), vec.end(), a[i]) - vec.begin(); } scanf("%d", &q); while (q--) { int l, r, cn = 1; long long ans = 0; scanf("%d %d", &l, &r); for (int i = l; i <= r; i++) { bit[a[i]] = 1; } for (int i = 0; i < vec.size(); i++) { if (bit[i]) { ans = (ans + vec[i] * 1ll * f[cn++]) % m; bit[i] = 0; } } printf("%I64d\n", ans); } }
#include <bits/stdc++.h> using namespace std; const int maxn = int(3e4) + 10; int n, moder, m; int a[maxn]; set<int> st; map<int, int> v; int tot = 0; pair<int, int> q[maxn], w[maxn]; long long ans[maxn], fib[maxn]; int now[maxn], cnt[maxn]; int main() { scanf("%d%d", &n, &moder); for (int i = 1; i <= n; i++) { scanf("%d", &a[i]); st.insert(a[i]); } for (set<int>::iterator it = st.begin(); it != st.end(); it++) v[*it] = ++tot; fib[1] = fib[2] = 1; for (int i = 3; i <= n; i++) fib[i] = (fib[i - 1] + fib[i - 2]) % moder; scanf("%d", &m); for (int i = 1; i <= m; i++) scanf("%d%d", &q[i].first, &q[i].second); for (int i = 1; i <= n; i++) w[i] = make_pair(a[i], i); sort(w + 1, w + 1 + n); for (int i = 1; i <= n; i++) { int val = w[i].first, pos = v[val]; int id = w[i].second; for (int j = 1; j <= m; j++) if (q[j].first <= id && id <= q[j].second && now[j] < pos) { now[j] = pos; cnt[j]++; ans[j] += fib[cnt[j]] * val; } } for (int i = 1; i <= m; i++) printf("%I64d\n", ans[i] % moder); return 0; }
#include <bits/stdc++.h> #pragma GCC optimize(2, 3, "Ofast") #pragma GCC target( \ "sse,sse2,sse3,ssse3,sse4.1,sse4.2,avx,avx2,popcnt,tune=native") const double pi = 3.141592653589793238462643383279; namespace MyMinMax { template <typename T> inline T mn(const T x, const T y) { return x < y ? x : y; } template <typename T> inline T mx(const T x, const T y) { return x > y ? x : y; } template <typename T> inline bool chmin(T &x, const T y) { return (x > y) && ((x = y), 1); } template <typename T> inline bool chmax(T &x, const T y) { return (x < y) && ((x = y), 1); } template <typename T, typename... Args> inline T mx(const T x, const Args... args) { return mx(x, mx(args...)); } template <typename T, typename... Args> inline T mn(const T x, const Args... args) { return mn(x, mn(args...)); } } // namespace MyMinMax using namespace MyMinMax; namespace IO { const int DPAIRSIZ = 1 << 18; char BB[DPAIRSIZ], *SS = BB, *TT = BB; inline char getcha() { return SS == TT && (TT = (SS = BB) + fread(BB, 1, DPAIRSIZ, stdin), SS == TT) ? EOF : *SS++; } template <typename T = int> inline T read() { T x = 0; int fu = 1; char c = getcha(); while (c > 57 || c < 48) { if (c == 45) fu = -1; c = getcha(); } while (c <= 57 && c >= 48) { x = x * 10 + c - 48; c = getcha(); } x *= fu; return x; } template <typename T> inline void read(T &x) { x = 0; int fu = 1; char c = getcha(); while (c > 57 || c < 48) { if (c == 45) fu = -1; c = getcha(); } while (c <= 57 && c >= 48) { x = x * 10 + c - 48; c = getcha(); } x *= fu; } template <typename T> inline void read(T *bg, T *ed) { while (bg != ed) read(*bg++); } inline void read(char &ch) { ch = getcha(); while (ch <= 32) ch = getcha(); } inline void read(char *s) { char ch = getcha(); while (ch <= 32) ch = getcha(); while (ch > 32) *s++ = ch, ch = getcha(); *s = '\0'; } inline void sread(char *s) { char ch = getcha(); while (ch < 32) ch = getcha(); while (ch >= 32) *s++ = ch, ch = getcha(); *s = '\0'; } inline void pread(char *&s) { char ch = getcha(); while (ch <= 32) ch = getcha(); while (ch > 32) *s++ = ch, ch = getcha(); *s = '\0'; } inline void spread(char *&s) { char ch = getcha(); while (ch < 32) ch = getcha(); while (ch >= 32) *s++ = ch, ch = getcha(); *s = '\0'; } template <typename T, typename... Args> inline void read(T &x, Args &...args) { read(x); read(args...); } char out[DPAIRSIZ], *Out = out; inline void putcha(char x) { *Out++ = x; if (Out - out >= (DPAIRSIZ)) fwrite(out, 1, Out - out, stdout), Out = out; } template <typename T> inline void fprint(T x) { if (x < 0) putcha(45), x = -x; if (x > 9) fprint(x / 10); putcha(x % 10 + 48); } inline void print() { putcha(10); } template <typename T> inline void print(T x) { fprint(x); putcha(10); } inline void print(char *ch) { while (*ch != '\0') putcha(*(ch++)); putcha(10); } inline void put(char *ch) { while (*ch != '\0') putcha(*(ch++)); } inline void print(const char *ch) { while (*ch != '\0') putcha(*(ch++)); putcha(10); } inline void put(const char *ch) { while (*ch != '\0') putcha(*(ch++)); } template <typename T, typename... Args> inline void print(T x, Args... args) { fprint(x); putcha(32); print(args...); } template <typename... Args> inline void print(const char *ch, Args... args) { while (*ch != '\0') putcha(*(ch++)); putcha(32); print(args...); } template <typename... Args> inline void print(char *ch, Args... args) { while (*ch != '\0') putcha(*(ch++)); putcha(32); print(args...); } template <typename T, typename... Args> inline void printl(T x, Args... args) { fprint(x); putcha(10); printl(args...); } template <typename... Args> inline void printl(const char *ch, Args... args) { while (*ch != '\0') putcha(*(ch++)); putcha(10); printl(args...); } template <typename... Args> inline void printl(char *ch, Args... args) { while (*ch != '\0') putcha(*(ch++)); putcha(10); printl(args...); } template <typename T> inline void sprint(T x) { fprint(x); putcha(32); } template <typename T, typename... Args> inline void sprint(T x, Args... args) { fprint(x); putcha(32); sprint(args...); } template <typename T> inline void sprint(T *bg, T *ed) { while (bg != ed) sprint(*bg++); } template <typename T> inline void print(T *bg, T *ed) { while (bg != ed) sprint(*bg++); putcha(10); } template <typename T> inline void printl(T *bg, T *ed) { while (bg != ed) print(*bg++); } class AutoFlush { public: ~AutoFlush() { fwrite(out, 1, Out - out, stdout); } } __AutoFlush; } // namespace IO using namespace IO; const int INF = 0x3f3f3f3f; const long long INFll = 0x3f3f3f3f3f3f3f3fll; const int MAXN = 3e4 + 5; int f[MAXN], m, a[MAXN], n, q; inline void init() { f[0] = f[1] = 1; for (int i = (2); i <= (n); ++i) ((f[i] = f[i - 1] + f[i - 2]) >= m) && (f[i] -= m); } int b[MAXN]; namespace DPair { int cnt1[256], cnt2[256], cnt3[256], cnt4[256], A[MAXN]; inline void RadixSort(int *a, const int N) { for (int i = (0); i < (N); ++i) { ++cnt1[a[i] & 255]; ++cnt2[a[i] >> 8 & 255]; ++cnt3[a[i] >> 16 & 255]; ++cnt4[a[i] >> 24 & 255]; } for (int i = (1); i < (256); ++i) { cnt1[i] += cnt1[i - 1]; cnt2[i] += cnt2[i - 1]; cnt3[i] += cnt3[i - 1]; cnt4[i] += cnt4[i - 1]; } for (int i = (N - 1); i >= (0); --i) A[--cnt1[a[i] & 255]] = a[i]; for (int i = (N - 1); i >= (0); --i) a[--cnt2[A[i] >> 8 & 255]] = A[i]; for (int i = (N - 1); i >= (0); --i) A[--cnt3[a[i] >> 16 & 255]] = a[i]; for (int i = (N - 1); i >= (0); --i) a[--cnt4[A[i] >> 24 & 255]] = A[i]; memset(cnt1, 0, sizeof(cnt1)); memset(cnt2, 0, sizeof(cnt2)); memset(cnt3, 0, sizeof(cnt3)); memset(cnt4, 0, sizeof(cnt4)); } inline void RadixSort(int *a, int *_a) { int N = _a - a; while (N & 3) a[N++] = INF; RadixSort(a, N); } } // namespace DPair signed main() { read(n, m); read(a + 1, a + n + 1); init(); read(q); while (q--) { int l, r; read(l, r); const int len = (r - l + 1); memcpy(b, a + l, len * sizeof(int)); DPair ::RadixSort(b, b + len); const int p = std ::unique(b, b + len) - b; int ans[4] = {0, 0, 0, 0}; for (int i = 0; i < p - 3; i += 4) { ans[0] = (1ll * b[i] * f[i] + ans[0]) % m; ans[1] = (1ll * b[i + 1] * f[i + 1] + ans[1]) % m; ans[2] = (1ll * b[i + 2] * f[i + 2] + ans[2]) % m; ans[3] = (1ll * b[i + 3] * f[i + 3] + ans[3]) % m; } switch (p & 3) { case 3: ans[0] = (1ll * b[p - 3] * f[p - 3] + ans[0]) % m; case 2: ans[0] = (1ll * b[p - 2] * f[p - 2] + ans[0]) % m; case 1: ans[0] = (1ll * b[p - 1] * f[p - 1] + ans[0]) % m; } print((ans[0] + ans[1] + ans[2] + ans[3]) % m); } }
#include <bits/stdc++.h> #pragma GCC target("avx") #pragma GCC optimize(3) #pragma GCC optimize("Ofast") #pragma GCC optimize("inline") #pragma GCC optimize("-fgcse") #pragma GCC optimize("-fgcse-lm") #pragma GCC optimize("-fipa-sra") #pragma GCC optimize("-ftree-pre") #pragma GCC optimize("-ftree-vrp") #pragma GCC optimize("-fpeephole2") #pragma GCC optimize("-ffast-math") #pragma GCC optimize("-fsched-spec") #pragma GCC optimize("unroll-loops") #pragma GCC optimize("-falign-jumps") #pragma GCC optimize("-falign-loops") #pragma GCC optimize("-falign-labels") #pragma GCC optimize("-fdevirtualize") #pragma GCC optimize("-fcaller-saves") #pragma GCC optimize("-fcrossjumping") #pragma GCC optimize("-fthread-jumps") #pragma GCC optimize("-funroll-loops") #pragma GCC optimize("-fwhole-program") #pragma GCC optimize("-freorder-blocks") #pragma GCC optimize("-fschedule-insns") #pragma GCC optimize("inline-functions") #pragma GCC optimize("-ftree-tail-merge") #pragma GCC optimize("-fschedule-insns2") #pragma GCC optimize("-fstrict-aliasing") #pragma GCC optimize("-fstrict-overflow") #pragma GCC optimize("-falign-functions") #pragma GCC optimize("-fcse-skip-blocks") #pragma GCC optimize("-fcse-follow-jumps") #pragma GCC optimize("-fsched-interblock") #pragma GCC optimize("-fpartial-inlining") #pragma GCC optimize("no-stack-protector") #pragma GCC optimize("-freorder-functions") #pragma GCC optimize("-findirect-inlining") #pragma GCC optimize("-fhoist-adjacent-loads") #pragma GCC optimize("-frerun-cse-after-loop") #pragma GCC optimize("inline-small-functions") #pragma GCC optimize("-finline-small-functions") #pragma GCC optimize("-ftree-switch-conversion") #pragma GCC optimize("-foptimize-sibling-calls") #pragma GCC optimize("-fexpensive-optimizations") #pragma GCC optimize("-funsafe-loop-optimizations") #pragma GCC optimize("inline-functions-called-once") #pragma GCC optimize("-fdelete-null-pointer-checks") using namespace std; const int N = 30010; void read(int &x) { char c = getchar(); x = 0; while (c < '0' || c > '9') c = getchar(); while (c >= '0' && c <= '9') x = (x << 3) + (x << 1) + c - 48, c = getchar(); } void write(long long x) { if (x >= 10) write(x / 10); putchar(x % 10 + '0'); } struct gg { int a, id, b; } mp[N]; int Q, n, m, F[N]; bool cmp(gg x, gg y) { return x.a < y.a; } int main() { register int i, j; read(n), read(m); F[1] = F[2] = 1 % m; for (i = 3; i <= n; i++) F[i] = (F[i - 1] + F[i - 2]) % m; for (i = 1; i <= n; i++) { read(mp[i].a); mp[i].id = i; mp[i].b = mp[i].a % m; } sort(mp + 1, mp + n + 1, cmp); read(Q); int l, r, las, cnt; long long ans; for (i = 1; i <= Q; i++) { las = -1, ans = 0, cnt = 0; read(l), read(r); for (j = 1; j <= n; j++) { if (mp[j].id >= l && mp[j].id <= r) { if (mp[j].a != las) ans += mp[j].b * F[++cnt], las = mp[j].a; } } write(ans % m), puts(""); } }
#include <bits/stdc++.h> using namespace std; const int maxn = 30000; const int blocks = 250; struct Query { int l, r, id; bool operator<(const Query &rhs) const { return l / blocks < rhs.l / blocks || (l / blocks == rhs.l / blocks && r < rhs.r); } }; int tot; int mod; int tree[maxn << 2][2]; int lazy[maxn << 2][2][2]; void build(int rt = 1, int l = 0, int r = tot - 1) { lazy[rt][0][0] = lazy[rt][1][1] = 1; if (l < r) { int m = (l + r) >> 1; build(rt << 1, l, m); build(rt << 1 | 1, m + 1, r); } } void push_up(int rt) { tree[rt][0] = tree[rt << 1][0] + tree[rt << 1 | 1][0]; if (tree[rt][0] >= mod) tree[rt][0] -= mod; tree[rt][1] = tree[rt << 1][1] + tree[rt << 1 | 1][1]; if (tree[rt][1] >= mod) tree[rt][1] -= mod; int a0 = lazy[rt][0][0] * tree[rt][0] + lazy[rt][0][1] * tree[rt][1]; int a1 = lazy[rt][1][0] * tree[rt][0] + lazy[rt][1][1] * tree[rt][1]; tree[rt][0] = a0 % mod; tree[rt][1] = a1 % mod; } void update2(int x, int val, int rt = 1, int l = 0, int r = tot - 1) { if (l >= r) { tree[rt][0] = val * lazy[rt][0][0] % mod; tree[rt][1] = val * lazy[rt][1][0] % mod; return; } int m = (l + r) >> 1; if (x <= m) update2(x, val, rt << 1, l, m); else update2(x, val, rt << 1 | 1, m + 1, r); push_up(rt); } int tmp[2][2]; void update(int L, int R, int val, bool flag, int rt = 1, int l = 0, int r = tot - 1) { if (L <= l && r <= R) { if (flag) { tree[rt][0] = tree[rt][0] + tree[rt][1]; tree[rt][1] = tree[rt][0] - tree[rt][1]; if (tree[rt][0] >= mod) tree[rt][0] -= mod; lazy[rt][0][0] = lazy[rt][0][0] + lazy[rt][1][0]; lazy[rt][1][0] = lazy[rt][0][0] - lazy[rt][1][0]; if (lazy[rt][0][0] >= mod) lazy[rt][0][0] -= mod; lazy[rt][0][1] = lazy[rt][0][1] + lazy[rt][1][1]; lazy[rt][1][1] = lazy[rt][0][1] - lazy[rt][1][1]; if (lazy[rt][0][1] >= mod) lazy[rt][0][1] -= mod; } else { tree[rt][1] = tree[rt][0] - tree[rt][1]; tree[rt][0] = tree[rt][0] - tree[rt][1]; if (tree[rt][1] < 0) tree[rt][1] += mod; lazy[rt][1][0] = lazy[rt][0][0] - lazy[rt][1][0]; lazy[rt][0][0] = lazy[rt][0][0] - lazy[rt][1][0]; if (lazy[rt][1][0] < 0) lazy[rt][1][0] += mod; lazy[rt][1][1] = lazy[rt][0][1] - lazy[rt][1][1]; lazy[rt][0][1] = lazy[rt][0][1] - lazy[rt][1][1]; if (lazy[rt][1][1] < 0) lazy[rt][1][1] += mod; } if (l == L) update2(L, val, rt, l, r); return; } int m = (l + r) >> 1; if (L <= m) update(L, R, val, flag, rt << 1, l, m); if (R > m) update(L, R, val, flag, rt << 1 | 1, m + 1, r); push_up(rt); } map<int, int> mp; int a[maxn]; int val[maxn]; Query query[maxn]; int cnt[maxn]; int ans[maxn]; void add(int x) { if (cnt[x] == 0) update(x, tot - 1, val[x], 1); cnt[x]++; } void sub(int x) { cnt[x]--; if (cnt[x] == 0) update(x, tot - 1, 0, 0); } int main() { int n; scanf("%d %d", &n, &mod); for (int i = 0; i < n; ++i) { scanf("%d", &a[i]); mp[a[i]] = 0; } for (auto &p : mp) val[p.second = tot++] = p.first; for (int i = 0; i < n; ++i) a[i] = mp[a[i]]; build(); int q; scanf("%d", &q); for (int i = 0; i < q; ++i) scanf("%d %d", &query[i].l, &query[i].r), query[i].id = i; sort(query, query + q); int l = 1, r = 0; for (int i = 0; i < q; ++i) { while (query[i].l < l) { --l; add(a[l - 1]); } while (query[i].l > l) { sub(a[l - 1]); ++l; } while (query[i].r < r) { sub(a[r - 1]); --r; } while (query[i].r > r) { ++r; add(a[r - 1]); } ans[query[i].id] = tree[1][1]; } for (int i = 0; i < q; ++i) printf("%d\n", ans[i]); return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 100005; int n, q, MOD, f[maxn], L[maxn], R[maxn], stp[maxn], lst[maxn], ans[maxn]; pair<int, int> a[maxn]; int main() { scanf("%d%d", &n, &MOD); for (int i = 1; i <= n; i++) scanf("%d", &a[i].first), a[i].second = i; f[1] = 1; for (int i = 2; i <= n; i++) f[i] = (f[i - 1] + f[i - 2]) % MOD; sort(a + 1, a + 1 + n); scanf("%d", &q); for (int i = 1; i <= q; i++) scanf("%d%d", &L[i], &R[i]); for (int i = 1; i <= n; i++) { int d = a[i].first % MOD, id = a[i].second; for (int j = 1; j <= q; j++) if (L[j] <= id && id <= R[j] && lst[j] != a[i].first) (ans[j] += f[++stp[j]] * d) %= MOD, lst[j] = a[i].first; } for (int i = 1; i <= q; i++) printf("%d\n", ans[i]); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 200010; const int BLOCK = 250; int m; int from[N], to[N], res[N]; pair<int, int> ev[N]; int REAL[N], a[N]; int id[N]; inline bool cmp(int x, int y) { int u = from[x] / BLOCK; int v = from[y] / BLOCK; if (u != v) { return u < v; } return to[x] < to[y]; } int a11[N], a12[N], a13[N]; int a21[N], a22[N], a23[N]; void build(int x, int l, int r) { a11[x] = 1; a12[x] = 0; a13[x] = 0; a21[x] = 0; a22[x] = 1; a23[x] = 0; if (l < r) { int y = (l + r) >> 1; build(x + x, l, y); build(x + x + 1, y + 1, r); } } void modify(int x, int l, int r, int pos, int action) { if (l == r) { if (action == 1) { a11[x] = 1; a12[x] = 1; a13[x] = REAL[pos]; a21[x] = 1; a22[x] = 0; a23[x] = 0; } else { a11[x] = 1; a12[x] = 0; a13[x] = 0; a21[x] = 0; a22[x] = 1; a23[x] = 0; } return; } int y = (l + r) >> 1; if (pos <= y) { modify(x + x, l, y, pos, action); } else { modify(x + x + 1, y + 1, r, pos, action); } a11[x] = (a11[x + x] * a11[x + x + 1] + a12[x + x] * a21[x + x + 1]) % m; a12[x] = (a11[x + x] * a12[x + x + 1] + a12[x + x] * a22[x + x + 1]) % m; a21[x] = (a21[x + x] * a11[x + x + 1] + a22[x + x] * a21[x + x + 1]) % m; a22[x] = (a21[x + x] * a12[x + x + 1] + a22[x + x] * a22[x + x + 1]) % m; a13[x] = (a11[x + x] * a13[x + x + 1] + a12[x + x] * a23[x + x + 1] + a13[x + x]) % m; a23[x] = (a21[x + x] * a13[x + x + 1] + a22[x + x] * a23[x + x + 1] + a23[x + x]) % m; } int t; int have[N]; int OPS; void add(int what) { if (have[what] == 0) { OPS++; modify(1, 0, t - 1, what, 1); } have[what]++; } void del(int what) { have[what]--; if (have[what] == 0) { OPS++; modify(1, 0, t - 1, what, 0); } } int main() { int n; scanf("%d %d", &n, &m); for (int i = 0; i < n; i++) { scanf("%d", &ev[i].first); ev[i].second = i; } sort(ev, ev + n); t = -1; for (int i = 0; i < n; i++) { if (i == 0 || ev[i].first != ev[i - 1].first) { t++; REAL[t] = ev[i].first % m; } a[ev[i].second] = t; } t++; for (int i = 0; i < t; i++) { have[i] = 0; } build(1, 0, t - 1); int tt; scanf("%d", &tt); for (int qq = 0; qq < tt; qq++) { scanf("%d %d", from + qq, to + qq); from[qq]--; to[qq]--; res[qq] = 0; id[qq] = qq; } sort(id, id + tt, cmp); int ll = from[0], rr = from[0] - 1; OPS = 0; for (int qq = 0; qq < tt; qq++) { while (rr > to[id[qq]]) { del(a[rr]); rr--; } while (ll < from[id[qq]]) { del(a[ll]); ll++; } while (rr < to[id[qq]]) { rr++; add(a[rr]); } while (ll > from[id[qq]]) { ll--; add(a[ll]); } res[id[qq]] = a13[1]; } for (int qq = 0; qq < tt; qq++) { printf("%d\n", (res[qq] % m + m) % m); } return 0; }
#include <bits/stdc++.h> using namespace std; int n, mod; inline int add(int a, int b) { if ((a += b) >= mod) a -= mod; return a; } inline int dec(int a, int b) { if ((a -= b) < 0) a += mod; return a; } inline int mult(int a, int b) { long long t = 1ll * a * b; if (t >= mod) t %= mod; return t; } int F[30010], val[30010], a[30010], pt[30010], End; class sgt { public: int sum[120010][2], cnt[120010]; void pushup(int p) { cnt[p] = cnt[(p << 1)] + cnt[((p << 1) | 1)]; if (cnt[(p << 1)]) { sum[p][0] = add(add(mult(F[cnt[(p << 1)] - 1], sum[((p << 1) | 1)][0]), mult(F[cnt[(p << 1)]], sum[((p << 1) | 1)][1])), sum[(p << 1)][0]); sum[p][1] = add(add(mult(F[cnt[(p << 1)]], sum[((p << 1) | 1)][0]), mult(F[cnt[(p << 1)] + 1], sum[((p << 1) | 1)][1])), sum[(p << 1)][1]); } else { sum[p][0] = sum[((p << 1) | 1)][0]; sum[p][1] = sum[((p << 1) | 1)][1]; } } inline void modify(int pos, int v) { int l = 1, r = End, p = 1; while (l ^ r) { int mid = (l + r) >> 1; if (pos <= mid) p <<= 1, r = mid; else p = (p << 1) | 1, l = mid + 1; } if (v) { sum[p][0] = sum[p][1] = val[l]; cnt[p] = 1; } else { sum[p][0] = sum[p][1] = 0; cnt[p] = 0; } while (p ^ 1) pushup(p >>= 1); } } T; inline void Add(int v) { if (!pt[v]) T.modify(v, 1); ++pt[v]; } inline void Del(int v) { --pt[v]; if (!pt[v]) T.modify(v, 0); } const int blk = 200; class query { public: int l, r, id; bool operator<(const query &t) const { if (l / blk != t.l / blk) return l / blk < t.l / blk; return r < t.r; } } q[30010]; int Q, ans[30010]; int main() { scanf("%d%d", &n, &mod); F[1] = F[2] = 1; for (int i = 3; i <= 30001; i++) F[i] = add(F[i - 1], F[i - 2]); for (int i = 1; i <= n; i++) scanf("%d", &a[i]), val[i] = a[i]; sort(val + 1, val + n + 1); End = unique(val + 1, val + n + 1) - val - 1; for (int i = 1; i <= n; i++) a[i] = lower_bound(val + 1, val + End + 1, a[i]) - val; for (int i = 1; i <= End; i++) val[i] %= mod; scanf("%d", &Q); for (int T = 1; T <= Q; T++) { scanf("%d%d", &q[T].l, &q[T].r); q[T].id = T; } sort(q + 1, q + Q + 1); for (int i = 1, l = 1, r = 0; i <= Q; i++) { while (r < q[i].r) Add(a[++r]); while (l > q[i].l) Add(a[--l]); while (r > q[i].r) Del(a[r--]); while (l < q[i].l) Del(a[l++]); ans[q[i].id] = T.sum[1][0]; } for (int i = 1; i <= Q; i++) printf("%d\n", ans[i]); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 30005; int Q, B; struct query { int l, r, id; bool operator<(const query &R) const { int i = l / B, j = R.l / B; if (i != j) return i < j; if (i & 1) return r < R.r; else return R.r < r; } } q[N]; int n, m, a[N], d[N], D; int cnt[N], res[N]; int fib[N][2]; struct stree { int a0, a1; int s; } t[N << 1]; inline int id(int l, int r) { return l + r | l != r; } void pushup(int p, int l, int mid, int r) { int L = id(l, mid), R = id(mid + 1, r); t[p].s = t[L].s + t[R].s; t[p].a0 = (t[L].a0 + fib[t[L].s][0] * t[R].a0 + fib[t[L].s][1] * t[R].a1) % Q; t[p].a1 = (t[L].a1 + fib[t[L].s][0] * t[R].a1 + fib[t[L].s][1] * (t[R].a0 + t[R].a1) % Q) % Q; } void modify(int l, int r, int x, int w) { int p = id(l, r); if (l == r) { t[p].s = w; t[p].a0 = t[p].a1 = w * d[x] % Q; return; } int mid = l + r >> 1; if (x <= mid) modify(l, mid, x, w); else modify(mid + 1, r, x, w); pushup(p, l, mid, r); } void add(int i) { int x = a[i]; if (++cnt[x] == 1) { modify(0, D, x, 1); } } void del(int i) { int x = a[i]; if (--cnt[x] == 0) { modify(0, D, x, 0); } } int main() { scanf("%d%d", &n, &Q); B = sqrt(n); fib[0][0] = 1, fib[1][1] = 1; for (int i = 2; i <= n; ++i) { fib[i][0] = (fib[i - 2][0] + fib[i - 1][0]) % Q; fib[i][1] = (fib[i - 2][1] + fib[i - 1][1]) % Q; } for (int i = 0; i < n; ++i) { scanf("%d", &a[i]); d[D++] = a[i]; } sort(d, d + D); D = unique(d, d + D) - d; for (int i = 0; i < n; ++i) { a[i] = lower_bound(d, d + D, a[i]) - d; } scanf("%d", &m); for (int i = 0; i < m; ++i) { int x, y; scanf("%d%d", &x, &y); q[i] = (query){--x, --y, i}; } sort(q, q + m); int l = 0, r = -1; for (int i = 0; i < m; ++i) { while (r < q[i].r) { add(++r); } while (l > q[i].l) { add(--l); } while (r > q[i].r) { del(r--); } while (l < q[i].l) { del(l++); } res[q[i].id] = t[id(0, D)].a0 % Q; } for (int i = 0; i < m; ++i) printf("%d\n", res[i]); return 0; }
#include <bits/stdc++.h> #pragma GCC target("avx") #pragma GCC optimize(3) #pragma GCC optimize("Ofast") #pragma GCC optimize("inline") #pragma GCC optimize("-fgcse") #pragma GCC optimize("-fgcse-lm") #pragma GCC optimize("-fipa-sra") #pragma GCC optimize("-ftree-pre") #pragma GCC optimize("-ftree-vrp") #pragma GCC optimize("-fpeephole2") #pragma GCC optimize("-ffast-math") #pragma GCC optimize("-fsched-spec") #pragma GCC optimize("unroll-loops") #pragma GCC optimize("-falign-jumps") #pragma GCC optimize("-falign-loops") #pragma GCC optimize("-falign-labels") #pragma GCC optimize("-fdevirtualize") #pragma GCC optimize("-fcaller-saves") #pragma GCC optimize("-fcrossjumping") #pragma GCC optimize("-fthread-jumps") #pragma GCC optimize("-funroll-loops") #pragma GCC optimize("-fwhole-program") #pragma GCC optimize("-freorder-blocks") #pragma GCC optimize("-fschedule-insns") #pragma GCC optimize("inline-functions") #pragma GCC optimize("-ftree-tail-merge") #pragma GCC optimize("-fschedule-insns2") #pragma GCC optimize("-fstrict-aliasing") #pragma GCC optimize("-fstrict-overflow") #pragma GCC optimize("-falign-functions") #pragma GCC optimize("-fcse-skip-blocks") #pragma GCC optimize("-fcse-follow-jumps") #pragma GCC optimize("-fsched-interblock") #pragma GCC optimize("-fpartial-inlining") #pragma GCC optimize("no-stack-protector") #pragma GCC optimize("-freorder-functions") #pragma GCC optimize("-findirect-inlining") #pragma GCC optimize("-frerun-cse-after-loop") #pragma GCC optimize("inline-small-functions") #pragma GCC optimize("-finline-small-functions") #pragma GCC optimize("-ftree-switch-conversion") #pragma GCC optimize("-foptimize-sibling-calls") #pragma GCC optimize("-fexpensive-optimizations") #pragma GCC optimize("-funsafe-loop-optimizations") #pragma GCC optimize("inline-functions-called-once") #pragma GCC optimize("-fdelete-null-pointer-checks") using namespace std; const int N = 30000 + 10; struct Seg { int l, r, id; }; int n, m, q, a[N], B, fi[N]; Seg seg[N]; int A(int x, int y) { return ((x += y) >= m) ? (x - m) : x; } bool cmp(const Seg& a, const Seg& b) { int t = a.l / B, t2 = b.l / B; if (t == t2) return (t & 1) ? (a.r < b.r) : (a.r > b.r); else return t < t2; } int cnt[N], tot, w[N]; void init() { for (int i = 1; i <= n; ++i) w[i] = a[i]; sort(w + 1, w + n + 1); tot = unique(w + 1, w + n + 1) - w - 1; for (int i = 1; i <= n; ++i) a[i] = lower_bound(w + 1, w + tot + 1, a[i]) - w; for (int i = 1; i <= tot; ++i) w[i] %= m; fi[1] = fi[2] = 1 % m; for (int i = 3; i <= tot + 1; ++i) fi[i] = A(fi[i - 2], fi[i - 1]); } int s[N << 2], s2[N << 2], sz[N << 2]; void pull(int o) { int lc = o << 1, rc = lc ^ 1; sz[o] = sz[lc] + sz[rc]; if (!sz[lc]) { s[o] = s[rc]; s2[o] = s2[rc]; } else if (!sz[rc]) { s[o] = s[lc]; s2[o] = s2[lc]; } else { s[o] = A(s[lc], A(s2[rc] * fi[sz[lc]] % m, s[rc] * fi[sz[lc] - 1] % m)); s2[o] = A(s2[lc], A(s2[rc] * fi[sz[lc] + 1] % m, s[rc] * fi[sz[lc]] % m)); } } void insert(int x, int o = 1, int l = 1, int r = tot) { if (l == r) { sz[o] = 1; s[o] = s2[o] = w[x]; return; } int mid = (l + r) >> 1; if (x <= mid) insert(x, o << 1, l, mid); else insert(x, (o << 1) ^ 1, mid + 1, r); pull(o); } void erase(int x, int o = 1, int l = 1, int r = tot) { if (l == r) { sz[o] = 0; s[o] = s2[o] = 0; return; } int mid = (l + r) >> 1; if (x <= mid) erase(x, o << 1, l, mid); else erase(x, (o << 1) ^ 1, mid + 1, r); pull(o); } void add(int x) { if (!(cnt[x]++)) insert(x); } void del(int x) { if (!(--cnt[x])) erase(x); } int ans[N]; int main() { scanf("%d%d", &n, &m); B = sqrt(n); for (int i = 1; i <= n; ++i) scanf("%d", a + i); init(); scanf("%d", &q); for (int i = 1; i <= q; ++i) { scanf("%d%d", &seg[i].l, &seg[i].r); seg[i].id = i; } sort(seg + 1, seg + q + 1, cmp); int l = 1, r = 0; for (int i = 1; i <= q; ++i) { while (r < seg[i].r) add(a[++r]); while (l > seg[i].l) add(a[--l]); while (r > seg[i].r) del(a[r--]); while (l < seg[i].l) del(a[l++]); ans[seg[i].id] = s[1]; } for (int i = 1; i <= q; ++i) printf("%d\n", ans[i]); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 30011; int mod; int a[N], b[N]; int fib[N]; struct SegTree { int l[N << 2], r[N << 2]; int sz[N << 2]; int v0[N << 2]; int v1[N << 2]; void init(int left, int right, int x = 1) { l[x] = left; r[x] = right; sz[x] = v0[x] = v1[x] = 0; if (left + 1 != right) { int mid = (left + right) / 2; init(left, mid, 2 * x); init(mid, right, 2 * x + 1); } } void change(int pos, int c, int x = 1) { if (l[x] + 1 == r[x]) { sz[x] = c; v1[x] = (c ? b[pos] : 0) % mod; } else { int mid = (l[x] + r[x]) / 2; if (pos < mid) change(pos, c, 2 * x); else change(pos, c, 2 * x + 1); sz[x] = sz[2 * x] + sz[2 * x + 1]; if (sz[2 * x]) { v0[x] = v0[2 * x] + fib[sz[2 * x]] * v1[2 * x + 1] + fib[sz[2 * x] - 1] * v0[2 * x + 1]; v1[x] = v1[2 * x] + fib[sz[2 * x] + 1] * v1[2 * x + 1] + fib[sz[2 * x]] * v0[2 * x + 1]; } else { v0[x] = v0[2 * x + 1]; v1[x] = v1[2 * x + 1]; } v0[x] %= mod; v1[x] %= mod; } } int query() { return v1[1]; } } st; int Sqrt = 160; struct Query { int l, r; int id; Query() {} Query(int l, int r, int id) : l(l), r(r), id(id) {} bool operator<(const Query &rhs) const { if (l / Sqrt == rhs.l / Sqrt) return (r < rhs.r) ^ (l / Sqrt % 2 == 1); return l < rhs.l; } } query[N]; int ans[N]; map<int, int> disc; map<int, int> all; void add(int pos) { all[a[pos]]++; if (all[a[pos]] == 1) st.change(disc[a[pos]], 1); } void del(int pos) { all[a[pos]]--; if (all[a[pos]] == 0) st.change(disc[a[pos]], 0); } int main() { ios ::sync_with_stdio(false); int n; cin >> n >> mod; Sqrt = (int)sqrt(n) + 1; fib[1] = fib[2] = 1; for (int i = 3; i < N; i++) fib[i] = (fib[i - 1] + fib[i - 2]) % mod; for (int i = 1; i <= n; i++) { cin >> a[i]; disc[a[i]] = 0; } int cnt = 0; for (auto it = disc.begin(); it != disc.end(); it++) { b[cnt] = it->first; it->second = cnt++; } st.init(0, cnt); int m; cin >> m; for (int i = 0; i < m; i++) { cin >> query[i].l >> query[i].r; query[i].id = i; } sort(query, query + m); int l = 1, r = 0; for (int i = 0; i < m; i++) { Query &q = query[i]; while (l > q.l) add(--l); while (r < q.r) add(++r); while (l < q.l) del(l++); while (r > q.r) del(r--); ans[q.id] = st.query(); } for (int i = 0; i < m; i++) cout << ans[i] << '\n'; return 0; }
#include <bits/stdc++.h> using namespace std; const int N = (int)1e5 + 10; struct Item { int id, value, mValue; Item() : id(), value(), mValue() {} Item(int _id, int _value, int _m) : id(_id), value(_value), mValue(_m) {} bool operator<(const Item &x) const { return value < x.value || (value == x.value && id < x.id); } }; Item a[N]; int f[N]; int n, m, q; int main() { scanf("%d%d", &n, &m); for (int i = 0; i < n; i++) { a[i].id = i; scanf("%d", &a[i].value); a[i].mValue = a[i].value % m; } f[0] = f[1] = 1; for (int i = 2; i < N; i++) f[i] = (f[i - 1] + f[i - 2]) % m; sort(a, a + n); scanf("%d", &q); for (int i = 0; i < q; i++) { int l, r; scanf("%d%d", &l, &r); l--, r--; int p = -1; int k = 0; int ans = 0; for (int s = 0; s < n; s++) { if (a[s].id >= l && a[s].id <= r && a[s].value != p) { p = a[s].value; ans = (ans + f[k++] * a[s].mValue) % m; } } printf("%d\n", ans); } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 30010; struct note { int val; int id; bool operator<(const note &x) const { return val < x.val; } }; inline void read(int &x) { x = 0; int f = 1; char ch = getchar(); while (ch < '0' || ch > '9') { if (ch == '-') { f = -1; } ch = getchar(); } while (ch >= '0' && ch <= '9') { x = x * 10 + ch - '0'; ch = getchar(); } x *= f; } note a[N]; int n, m, q; int fib[N], l[N], r[N], max_n[N], cnt[N]; long long ans[N]; int main() { read(n), read(m); for (int i = 1; i <= n; i++) { read(a[i].val); a[i].id = i; } sort(a + 1, a + n + 1); fib[1] = fib[2] = 1; for (int i = 3; i <= n; i++) { fib[i] = (fib[i - 1] + fib[i - 2]) % m; } read(q); for (int i = 1; i <= q; i++) { read(l[i]), read(r[i]); max_n[i] = -1; } for (int i = 1; i <= n; i++) { int x = a[i].val % m; for (int j = 1; j <= q; j++) { if (a[i].id >= l[j] && a[i].id <= r[j] && a[i].val != max_n[j]) { max_n[j] = a[i].val; ans[j] += fib[++cnt[j]] * x; } } } for (int i = 1; i <= q; i++) { printf("%lld\n", ans[i] % m); } return 0; }
#include <bits/stdc++.h> using namespace std; const int maxN = 3e4 + 5; pair<int, int> a[maxN]; int am[maxN], f[maxN]; int Re() { int ch = '@', x = 0; for (; ch < 48 || 57 < ch; ch = getchar()) ; for (; 47 < ch && ch < 58; ch = getchar()) x = x * 10 + ch - 48; return x; } int main() { int n = Re(), m = Re(); for (int i = 1; i <= n; ++i) { a[i].first = Re(); a[i].second = i; } sort(a + 1, a + 1 + n); f[0] = 0; f[1] = 1; am[1] = a[1].first % m; for (int i = 2; i <= n; ++i) { f[i] = f[i - 1] + f[i - 2]; if (f[i] >= m) f[i] -= m; am[i] = a[i].first % m; } int q; scanf("%d", &q); for (int i = 1, l, r, last, step, ans; i <= q; ++i) { l = Re(); r = Re(); last = -1; step = 0; ans = 0; for (int j = 1; j <= n; ++j) if (l <= a[j].second && a[j].second <= r && a[j].first != last) { ans = (ans + am[j] * f[++step]) % m; last = a[j].first; } printf("%d\n", ans); } return 0; }
#include <bits/stdc++.h> using namespace std; int n, q, li = 0, ri = -1; int mod; void upd(int& a, const int& b) { a = (a + b) % mod; } int add(const int& a, const int& b) { return (a + b) % mod; } int mul(const int& a, const int& b) { return (a * b) % mod; } const int maxn = 1 << 15, sqrtn = sqrt(maxn); struct matrix { int m[2][2]; matrix() { m[0][0] = m[0][1] = m[1][0] = m[1][1] = 0; } } s[maxn * 2], m[maxn * 2], m0, m1, m2; matrix mul(const matrix& a, const matrix& b) { matrix r; for (int i = 0; i < 2; i++) for (int j = 0; j < 2; j++) for (int k = 0; k < 2; k++) r.m[i][j] += a.m[i][k] * b.m[k][j]; for (int i = 0; i < 2; i++) for (int j = 0; j < 2; j++) r.m[i][j] %= mod; return r; } matrix mul(const matrix& a, const int& b) { matrix r; for (int i = 0; i < 2; i++) for (int j = 0; j < 2; j++) upd(r.m[i][j], mul(a.m[i][j], b)); return r; } matrix add(const matrix& a, const matrix& b) { matrix r; for (int i = 0; i < 2; i++) for (int j = 0; j < 2; j++) r.m[i][j] = add(a.m[i][j], b.m[i][j]); return r; } vector<int> l(maxn * 2), r(maxn * 2); void update(int i, int x, int vr = 0) { if (l[vr] == r[vr]) { if (x < 0) s[vr] = m0, m[vr] = m1; else s[vr] = mul(m2, x % mod), m[vr] = m2; return; } update(i, x, (i <= r[vr * 2 + 1] ? vr * 2 + 1 : vr * 2 + 2)); m[vr] = mul(m[vr * 2 + 1], m[vr * 2 + 2]); s[vr] = add(s[vr * 2 + 1], mul(s[vr * 2 + 2], m[vr * 2 + 1])); } struct query { int l, r, i; }; bool cmp(query& a, query& b) { if (a.l / sqrtn == b.l / sqrtn) return ((a.l / sqrtn) & 1) ? a.r < b.r : a.r > b.r; return a.l < b.l; } vector<int> f(maxn, 0), a(maxn), b, id(maxn), ans(maxn, -1); void add(int i) { f[id[i]]++; if (f[id[i]] == 1) update(id[i], a[i]); } void rmv(int i) { f[id[i]]--; if (f[id[i]] == 0) update(id[i], -a[i]); } int main() { ios::sync_with_stdio(false); cin.tie(0); m1.m[0][0] = m1.m[1][1] = m2.m[0][0] = m2.m[0][1] = m2.m[1][0] = 1; for (int i = maxn - 1; i < maxn * 2; i++) l[i] = r[i] = i - (maxn - 1), m[i] = m1; for (int i = maxn - 2; i >= 0; i--) l[i] = l[i * 2 + 1], r[i] = r[i * 2 + 2], m[i] = m1; cin >> n >> mod; for (int i = 0; i < n; i++) cin >> a[i], b.push_back(a[i]); sort(b.begin(), b.end()); b.erase(unique(b.begin(), b.end()), b.end()); for (int i = 0; i < n; i++) id[i] = lower_bound(b.begin(), b.end(), a[i]) - b.begin(); cin >> q; vector<query> qu(q); for (int i = 0; i < q; i++) cin >> qu[i].l >> qu[i].r, qu[i].l--, qu[i].r--, qu[i].i = i; sort(qu.begin(), qu.end(), cmp); for (const query& i : qu) { while (i.r > ri) add(++ri); while (i.l < li) add(--li); while (i.l > li) rmv(li++); while (i.r < ri) rmv(ri--); ans[i.i] = s[0].m[0][1]; } for (int i = 0; i < q; i++) cout << ans[i] << "\n"; return 0; }
#include <bits/stdc++.h> using namespace std; inline int ri() { int x; scanf("%d", &x); return x; } template <typename T> inline bool smax(T &a, T b) { if (a < b) { a = b; return true; } return false; } template <typename T> inline bool smin(T &a, T b) { if (a > b) { a = b; return true; } return false; } const int maxn = 30005; int n, mod, m = 0; int a[maxn], id[maxn]; int fib[maxn]; struct seg { int l, r, d, off; int x0, x1; seg *ls, *rs; seg(int l_, int r_) : l(l_), r(r_), d(0), off(0), ls(NULL), rs(NULL), x0(0), x1(0) { if (l < r) { int mid = (l + r) >> 1; ls = new seg(l, mid); rs = new seg(mid + 1, r); } } inline void shift(int x) { off += x; d += x; if (x > 0) { int tmp = (x0 * fib[x - 1] + x1 * fib[x]) % mod; x1 = (x0 * fib[x] + x1 * fib[x + 1]) % mod; x0 = tmp; } else if (x < 0) { x = -x; if (x % 2 == 0) { int tmp = (x0 * fib[x + 1] - x1 * fib[x]); x1 = (x1 * fib[x - 1] - x0 * fib[x]); x0 = tmp; } else { int tmp = (x1 * fib[x] - x0 * fib[x + 1]); x1 = (x0 * fib[x] - x1 * fib[x - 1]); x0 = tmp; } x0 %= mod; if (x0 < 0) x0 += mod; x1 %= mod; if (x1 < 0) x1 += mod; } } inline void down() { if (d == 0) return; if (ls) ls->shift(d); if (rs) rs->shift(d); d = 0; } void add(int pos, int x) { if (l == r) { x0 = (x0 + fib[off] * x) % mod; x1 = (x1 + fib[off + 1] * x) % mod; return; } down(); int mid = (l + r) >> 1; if (mid < pos) { rs->add(pos, x); } else { ls->add(pos, x); } x0 = (ls->x0 + rs->x0); x1 = (ls->x1 + rs->x1); if (x0 >= mod) x0 -= mod; if (x1 >= mod) x1 -= mod; off = ls->off; } void move(int x, int lo, int hi) { if (x == 0) return; if (lo <= l && r <= hi) { shift(x); return; } down(); int mid = (l + r) >> 1; if (lo <= mid) ls->move(x, lo, hi); if (hi > mid) rs->move(x, lo, hi); x0 = (ls->x0 + rs->x0); x1 = (ls->x1 + rs->x1); if (x0 >= mod) x0 -= mod; if (x1 >= mod) x1 -= mod; off = ls->off; } } * tree; struct query { int id, l, r; } q[30000]; int res[30000]; int cnt[maxn]; inline void insert(int x) { if ((++cnt[id[x]]) == 1) { tree->move(1, id[x], m); tree->add(id[x], a[x] % mod); } } inline void remove(int x) { if ((--cnt[id[x]]) == 0) { tree->add(id[x], -a[x] % mod); tree->move(-1, id[x], m); } } int main() { scanf("%d%d", &n, &mod); vector<pair<int, int> > v; for (int i = 0; i < (n); i++) { scanf("%d", a + i); v.push_back(pair<int, int>(a[i], i)); } sort(v.begin(), v.end()); id[v[0].second] = 0; for (int i = (1); i < (v.size()); i++) if (v[i].first != v[i - 1].first) { id[v[i].second] = ++m; } else { id[v[i].second] = m; } fib[1] = fib[2] = 1; for (int i = (3); i < (maxn); i++) fib[i] = (fib[i - 1] + fib[i - 2]) % mod; int Q = ri(); for (int i = 0; i < (Q); i++) { q[i].id = i; scanf("%d%d", &q[i].l, &q[i].r); q[i].l--; q[i].r--; } const int sqr = 300; sort(q, q + Q, [](query a, query b) { return a.l / sqr == b.l / sqr ? (((a.l / sqr) & 1) ? a.r > b.r : a.r < b.r) : a.l / sqr < b.l / sqr; }); int L = q[0].l, R = q[0].l - 1; tree = new seg(0, m); for (int i = 0; i < (Q); i++) { while (R < q[i].r) insert(++R); while (L > q[i].l) insert(--L); while (R > q[i].r) remove(R--); while (L < q[i].l) remove(L++); res[q[i].id] = tree->x0; } for (int i = 0; i < (Q); i++) printf("%d\n", (res[i] % mod + mod) % mod); return 0; }
#include <bits/stdc++.h> using namespace std; int N, M = 1 << 30, A[30000], B[30000], NB, Q, QL[30000], QR[30000], order[30000], ans[30000]; struct mint { int x; mint(const int& x = 0) : x(x % M) {} friend mint operator+(const mint& a, const mint& b) { return (a.x + b.x) % M; } friend mint operator-(const mint& a, const mint& b) { return (a.x - b.x) % M; } friend mint operator*(const mint& a, const mint& b) { return (a.x * b.x) % M; } operator int() const { return x; } }; struct vec { mint x, y; vec(const mint& x = 0, const mint& y = 0) : x(x), y(y) {} friend vec operator+(const vec& a, const vec& b) { return {a.x + b.x, a.y + b.y}; } friend vec operator-(const vec& a, const vec& b) { return {a.x - b.x, a.y - b.y}; } }; struct mat { mint a, b, c, d; mat(const mint& a = 1, const mint& b = 0, const mint& c = 0, const mint& d = 1) : a(a), b(b), c(c), d(d) {} friend mat operator*(const mat& a, const mat& b) { return {a.a * b.a + a.b * b.c, a.a * b.b + a.b * b.d, a.c * b.a + a.d * b.c, a.c * b.b + a.d * b.d}; } friend vec operator*(const mat& a, const vec& b) { return {a.a * b.x + a.b * b.y, a.c * b.x + a.d * b.y}; } } fib[30000 + 1]; struct seg { int NN, V[30000]; bool dirty[1 << 17]; pair<vec, int> nodes[1 << 17]; seg(int N) { for (NN = 1; NN < N;) NN <<= 1; memset(V, 0, sizeof V); } inline pair<vec, int> combine(const pair<vec, int>& a, const pair<vec, int>& b) { if (!a.second) return b; if (!b.second) return a; return {a.first + fib[a.second] * b.first, a.second + b.second}; } int _x, _c; void update(int x, int c) { V[x] += c; if (c == 1 && V[x] == 1) _x = x, _c = c, _update(1, 0, NN - 1); if (c == -1 && V[x] == 0) _x = x, _c = c, _update(1, 0, NN - 1); } void _update(int i, int l, int r) { if (l == r) { if (_c == 1) nodes[i] = {{B[l], 0}, 1}; else nodes[i] = {{0, 0}, 0}; } else { if (_x <= (l + r) / 2) _update(2 * i, l, (l + r) / 2); else _update(2 * i + 1, (l + r) / 2 + 1, r); dirty[i] = true; } } void get(int i, int l, int r) { if (!dirty[i] || l == r) return; get(2 * i, l, (l + r) / 2); get(2 * i + 1, (l + r) / 2 + 1, r); nodes[i] = combine(nodes[2 * i], nodes[2 * i + 1]); dirty[i] = false; } pair<vec, int> query() { get(1, 0, NN - 1); return nodes[1]; } }; int main() { scanf("%d%d", &N, &M); for (int i = 0; i < (N); ++i) scanf("%d", &A[i]); fib[1] = {1, 1, 1, 0}; for (int i = 2; i <= N; ++i) fib[i] = fib[i - 1] * fib[1]; copy(A, A + N, B); sort(B, B + N); NB = unique(B, B + N) - B; for (int i = 0; i < (N); ++i) A[i] = lower_bound(B, B + NB, A[i]) - B; scanf("%d", &Q); for (int i = 0; i < (Q); ++i) scanf("%d%d", &QL[i], &QR[i]), --QL[i], --QR[i]; iota(order, order + Q, 0); int BLOCK = 200; sort(order, order + Q, [=](const int& i, const int& j) { int bi = QL[i] / BLOCK, bj = QL[j] / BLOCK; if (bi != bj) return bi < bj; else return QR[i] < QR[j]; }); int l = 0, r = 0; seg tree(NB); tree.update(A[0], 1); for (int i = 0; i < (Q); ++i) { while (l > QL[order[i]]) tree.update(A[--l], 1); while (r < QR[order[i]]) tree.update(A[++r], 1); while (l < QL[order[i]]) tree.update(A[l++], -1); while (r > QR[order[i]]) tree.update(A[r--], -1); ans[order[i]] = tree.query().first.x; } for (int i = 0; i < (Q); ++i) printf("%d\n", ans[i]); return 0; }
#include <bits/stdc++.h> using namespace std; const int iinf = 1e9 + 7; const long long linf = 1ll << 60; const double dinf = 1e60; template <typename T> inline void scf(T &x) { bool f = 0; x = 0; char c = getchar(); while ((c < '0' || c > '9') && c != '-') c = getchar(); if (c == '-') { f = 1; c = getchar(); } while (c >= '0' && c <= '9') { x = x * 10 + c - '0'; c = getchar(); } if (f) x = -x; return; } template <typename T1, typename T2> void scf(T1 &x, T2 &y) { scf(x); return scf(y); } template <typename T1, typename T2, typename T3> void scf(T1 &x, T2 &y, T3 &z) { scf(x); scf(y); return scf(z); } template <typename T1, typename T2, typename T3, typename T4> void scf(T1 &x, T2 &y, T3 &z, T4 &w) { scf(x); scf(y); scf(z); return scf(w); } inline char mygetchar() { char c = getchar(); while (c == ' ' || c == '\n') c = getchar(); return c; } template <typename T> void chkmax(T &x, const T &y) { if (y > x) x = y; return; } template <typename T> void chkmin(T &x, const T &y) { if (y < x) x = y; return; } const int N = 3e4 + 100; const int B = 180; int n, mod, m, q_n; map<int, int> M; int a[N], cnt[N], fib[N], bel[N], ans[N], RM[N]; struct node { node *ch[2]; int siz, sum[2]; } * root; pair<int, pair<int, int> > pls(const node *a, const node *b) { pair<int, pair<int, int> > ret; if (!b) { ret = make_pair(a->siz, make_pair(a->sum[0], a->sum[1])); return ret; } if (!a || !a->siz) { ret = make_pair(b->siz, make_pair(b->sum[0], b->sum[1])); return ret; } ret.first = a->siz + b->siz; ret.second.first = a->sum[0] + fib[a->siz] * b->sum[1] + fib[a->siz - 1] * b->sum[0]; ret.second.second = a->sum[1] + fib[a->siz + 1] * b->sum[1] + fib[a->siz] * b->sum[0]; return ret; } void build(node *&cur = root, int l = 0, int r = m) { cur = new node; cur->ch[0] = cur->ch[1] = 0; cur->siz = 0; cur->sum[0] = cur->sum[1] = 0; if (l == r) return; int mid = l + r >> 1; build(cur->ch[0], l, mid); build(cur->ch[1], mid + 1, r); return; } void modify(int i, int x, node *&cur = root, int l = 0, int r = m) { if (l == r) { if (x) { cur->siz = 1; cur->sum[0] = 0; cur->sum[1] = RM[i] % mod; return; } cur->siz = 0; cur->sum[0] = cur->sum[1] = 0; return; } int mid = l + r >> 1; if (i <= mid) modify(i, x, cur->ch[0], l, mid); else modify(i, x, cur->ch[1], mid + 1, r); auto t = pls(cur->ch[0], cur->ch[1]); cur->siz = t.first; cur->sum[0] = t.second.first % mod; cur->sum[1] = t.second.second % mod; return; } struct query { int l, r, id; void in(int i) { scf(l, r); id = i; } bool operator<(const query &a) const { return bel[l] == bel[a.l] ? ((bel[l] & 1) ? r > a.r : r < a.r) : bel[l] < bel[a.l]; } } q[N]; void TZL() { scf(n, mod); for (int i = (1); i <= (n); ++i) scf(a[i]), M[a[i]]; fib[0] = 0; fib[1] = 1; for (int i = (2); i <= (n + 10); ++i) { fib[i] = fib[i - 1] + fib[i - 2]; if (fib[i] >= mod) fib[i] -= mod; } for (int i = (1); i <= (n); ++i) bel[i] = i / B; for (auto it = M.begin(); it != M.end(); it++) it->second = (++m), RM[m] = it->first; M[0] = 0; build(); return; } void ins(int x) { if (!cnt[x]++) modify(x, 1); } void del(int x) { if (!--cnt[x]) modify(x, 0); } void RANK1() { scf(q_n); for (int i = (1); i <= (q_n); ++i) q[i].in(i); sort(q + 1, q + q_n + 1); int l, r; l = r = 0; for (int i = (1); i <= (q_n); ++i) { int &lb = q[i].l, &rb = q[i].r; while (r < rb) ins(M[a[++r]]); while (r > rb) del(M[a[r--]]); while (l < lb) del(M[a[l++]]); while (l > lb) ins(M[a[--l]]); ans[q[i].id] = root->sum[1]; } for (int i = (1); i <= (q_n); ++i) printf("%d\n", ans[i]); return; } int main() { TZL(); RANK1(); return 0; }
#include <bits/stdc++.h> using namespace std; const int iinf = 1e9 + 7; const long long linf = 1ll << 60; const double dinf = 1e60; template <typename T> inline void scf(T &x) { bool f = 0; x = 0; char c = getchar(); while ((c < '0' || c > '9') && c != '-') c = getchar(); if (c == '-') { f = 1; c = getchar(); } while (c >= '0' && c <= '9') { x = x * 10 + c - '0'; c = getchar(); } if (f) x = -x; return; } template <typename T1, typename T2> void scf(T1 &x, T2 &y) { scf(x); return scf(y); } template <typename T1, typename T2, typename T3> void scf(T1 &x, T2 &y, T3 &z) { scf(x); scf(y); return scf(z); } template <typename T1, typename T2, typename T3, typename T4> void scf(T1 &x, T2 &y, T3 &z, T4 &w) { scf(x); scf(y); scf(z); return scf(w); } inline char mygetchar() { char c = getchar(); while (c == ' ' || c == '\n') c = getchar(); return c; } template <typename T> void chkmax(T &x, const T &y) { if (y > x) x = y; return; } template <typename T> void chkmin(T &x, const T &y) { if (y < x) x = y; return; } const int N = 3e4 + 100; int n, mod, q_n; int fib[N]; pair<int, int> a[N]; int l[N], r[N], lst[N]; int cnt[N]; long long ans[N]; void TZL() { scf(n, mod); for (int i = (1); i <= (n); ++i) scf(a[i].first), a[i].second = i; sort(a + 1, a + n + 1); scf(q_n); for (int i = (1); i <= (q_n); ++i) scf(l[i], r[i]), lst[i] = -1; fib[0] = 0; fib[1] = fib[2] = 1; for (int i = (3); i <= (n); ++i) { fib[i] = fib[i - 1] + fib[i - 2]; if (fib[i] >= mod) fib[i] -= mod; } return; } void RANK1() { auto t = a; int x, i; for (int _ = (1); _ <= (n); ++_) { t++; x = t->first, i = t->second; for (int j = (1); j <= (q_n); ++j) if (l[j] <= i && i <= r[j] && x != lst[j]) ans[j] += 1ll * x * fib[(++cnt[j])], lst[j] = x; } for (int i = (1); i <= (q_n); ++i) printf("%d\n", (int)(ans[i] % mod)); return; } int main() { TZL(); RANK1(); return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 3e4 + 5; int f[maxn], l[maxn], r[maxn], ans[maxn], num[maxn], last[maxn]; bool used[maxn]; pair<int, int> p[maxn]; int main() { int n, mod; while (~scanf("%d%d", &n, &mod)) { f[0] = f[1] = 1; for (int i = 2; i < maxn; ++i) f[i] = (f[i - 1] + f[i - 2]) % mod; for (int i = 1; i <= n; ++i) { scanf("%d", &p[i].first); p[i].second = i; } sort(p + 1, p + n + 1); int q; scanf("%d", &q); for (int i = 0; i < q; ++i) { scanf("%d%d", l + i, r + i); ans[i] = 0; num[i] = 0; last[i] = -1; } for (int i = 1; i <= n; ++i) { int x = p[i].first % mod; for (int j = 0; j < q; ++j) { if (last[j] == p[i].first || l[j] > p[i].second || r[j] < p[i].second) continue; ans[j] = (ans[j] + x * f[num[j]++]) % mod; last[j] = p[i].first; } } for (int i = 0; i < q; ++i) printf("%d\n", ans[i]); } return 0; }
#include <bits/stdc++.h> using namespace std; pair<int, int> a[30005]; int ans[30005], step[30005], f[30005], l[30005], r[30004], last[30005]; int main() { int n, m; cin >> n >> m; for (int i = 1; i <= n; i++) { cin >> a[i].first; a[i].second = i; } sort(a + 1, a + 1 + n); f[0] = 1; f[1] = 1; for (int i = 2; i <= n; i++) f[i] = (f[i - 1] + f[i - 2]) % m; int q; cin >> q; for (int i = 1; i <= q; i++) { cin >> l[i] >> r[i]; last[i] = -1; } for (int i = 1; i <= n; i++) { int d = a[i].first % m; for (int j = 1; j <= q; j++) { if (a[i].second < l[j] || a[i].second > r[j]) continue; if (a[i].first == last[j]) continue; ans[j] = (ans[j] + f[step[j]++] * d) % m; last[j] = a[i].first; } } for (int i = 1; i <= q; i++) cout << ans[i] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int iinf = 1e9 + 7; const long long linf = 1ll << 60; const double dinf = 1e60; template <typename T> inline void scf(T &x) { bool f = 0; x = 0; char c = getchar(); while ((c < '0' || c > '9') && c != '-') c = getchar(); if (c == '-') { f = 1; c = getchar(); } while (c >= '0' && c <= '9') { x = x * 10 + c - '0'; c = getchar(); } if (f) x = -x; return; } template <typename T1, typename T2> void scf(T1 &x, T2 &y) { scf(x); return scf(y); } template <typename T1, typename T2, typename T3> void scf(T1 &x, T2 &y, T3 &z) { scf(x); scf(y); return scf(z); } template <typename T1, typename T2, typename T3, typename T4> void scf(T1 &x, T2 &y, T3 &z, T4 &w) { scf(x); scf(y); scf(z); return scf(w); } inline char mygetchar() { char c = getchar(); while (c == ' ' || c == '\n') c = getchar(); return c; } template <typename T> void chkmax(T &x, const T &y) { if (y > x) x = y; return; } template <typename T> void chkmin(T &x, const T &y) { if (y < x) x = y; return; } const int N = 3e4 + 100; int n, mod, q_n; int fib[N]; pair<int, int> a[N]; int l[N], r[N], lst[N]; int cnt[N]; long long ans[N]; void TZL() { scf(n, mod); for (int i = (1); i <= (n); ++i) scf(a[i].first), a[i].second = i; sort(a + 1, a + n + 1); scf(q_n); for (int i = (1); i <= (q_n); ++i) scf(l[i], r[i]), lst[i] = -1; fib[0] = 0; fib[1] = fib[2] = 1; for (int i = (3); i <= (n); ++i) { fib[i] = fib[i - 1] + fib[i - 2]; if (fib[i] >= mod) fib[i] -= mod; } return; } void RANK1() { for (int _ = (1); _ <= (n); ++_) { int x = a[_].first, i = a[_].second; for (int j = (1); j <= (q_n); ++j) if (l[j] <= i && i <= r[j] && x != lst[j]) ans[j] += 1ll * x * fib[(++cnt[j])], lst[j] = x; } for (int i = (1); i <= (q_n); ++i) printf("%d\n", (int)(ans[i] % mod)); return; } int main() { TZL(); RANK1(); return 0; }
#include <bits/stdc++.h> std::mt19937 rng( (int)std::chrono::steady_clock::now().time_since_epoch().count()); struct LazyContext { LazyContext() {} void reset() {} void operator+=(LazyContext o) {} }; int mod; struct modBase { modBase(int v = 0) : val(v) {} int val; void operator+=(modBase o) { *this = *this + o; } void operator-=(modBase o) { *this = *this - o; } void operator*=(modBase o) { *this = *this * o; } modBase operator*(modBase o) { return (int)(val * o.val % mod); } modBase operator+(modBase o) { return val + o.val >= mod ? val + o.val - mod : val + o.val; } modBase operator-(modBase o) { return val - o.val < 0 ? val - o.val + mod : val - o.val; } }; struct Info { Info(int x) { val = x; recalc(); } void recalc() { if (freq <= 0) { a[0] = 1, a[1] = 0; b[0] = b[1] = 0; } else { a[0] = 0, a[1] = 1; b[0] = 0, b[1] = val % mod; } } Info(Info l, Info r) { a[0] = l.a[0] * r.a[0] + l.a[1] * r.a[1]; a[1] = l.a[1] * r.a[0] + l.a[0] * r.a[1] + l.a[1] * r.a[1]; b[0] = l.a[0] * r.b[0] + l.a[1] * r.b[1] + l.b[0]; b[1] = l.a[1] * r.b[0] + l.a[0] * r.b[1] + l.a[1] * r.b[1] + l.b[1]; } void apply(LazyContext lazy, int size) {} void rotate() {} bool operator<(const Info& o) const { return val < o.val; } modBase a[2]; modBase b[2]; int freq = 0; int val; }; template <class i_t, class lazy_cont> struct SplayTree { struct Node { Node *p = NULL, *left = NULL, *right = NULL; int size = 1; bool flip = false; i_t base, info; lazy_cont lazy; Node(i_t v) : base(v), info(v) {} ~Node() { if (left) delete left; if (right) delete right; } void applyLazy(lazy_cont l) { info.apply(l, size); base.apply(l, 1); lazy += l; } void fix() { push(), info = base; size = 1; if (left) info = i_t(left->info, info), size += left->size, left->p = this; if (right) info = i_t(info, right->info), size += right->size, right->p = this; } Node* splay() { pull(); while (p) { Node *y = p, *z = p->p; bool t1 = (y->left != this); bool t2 = z && (z->left != y) == t1; if (t2) y->rotate(t1); rotate(t1); if (z && !t2) rotate(!t1); } fix(); return this; } void push() { if (flip) { std::swap(left, right); if (left) left->flip = !left->flip, left->info.rotate(); if (right) right->flip = !right->flip, right->info.rotate(); flip = false; } if (left) left->applyLazy(lazy); if (right) right->applyLazy(lazy); lazy.reset(); } void pull() { if (p) { p->pull(); } push(); } void rotate(bool leftRotate) { Node *y = p, *z = p->p, *&w = leftRotate ? left : right; if (z) (z->right == y ? z->right : z->left) = this; if (w) w->p = y; (leftRotate ? y->right : y->left) = w; w = y; p = z; y->p = this; y->fix(); } }; Node* root; SplayTree(Node* r = NULL) : root(r) {} Node* lower_bound(i_t val) { return search(val, [](const i_t& a, const i_t& b) { return !(b < a); }); } Node* upper_bound(i_t val) { return search(val, [](const i_t& a, const i_t& b) { return a < b; }); } Node* splayFirst() { return expose(1); } Node* splayLast() { return expose(1e9); } Node* expose(int k) { Node* cur = root; if (!cur) return NULL; k = std::min(k, cur->size); k = std::max(k, 1); while (cur) { cur->push(); if (cur->left) { if (cur->left->size >= k) { cur = cur->left; continue; } else { k -= cur->left->size; } } if (k == 1) { break; } k--; cur = cur->right; } assert(cur); return root = cur->splay(); } template <class F> Node* search(i_t val, F f) { Node *ans = NULL, *cur = root, *last = NULL; while (cur) { cur->push(); last = cur; if (f(val, cur->base)) { ans = cur; cur = cur->left; } else { cur = cur->right; } } root = last->splay(); if (ans) root = ans->splay(); return ans; } void insert(i_t t) { insert(new Node(t)); } void insert(Node* node) { if (!root) { root = node; return; } Node* tree = root; while (1) { tree->push(); Node*& w = node->base < tree->base ? tree->left : tree->right; if (w) { tree = w; } else { w = node; tree->fix(); break; } } root = node->splay(); } void erase(Node* node) { node->pull(); if (node == root) { if (node->left) node->left->p = NULL; if (node->right) node->right->p = NULL; *this = SplayTree(node->left) + SplayTree(node->right); } else { assert(node->p); Node*& w = node->p->left == node ? node->p->left : node->p->right; if (!node->left || !node->right) { w = node->left ? node->left : node->right; } else { node->left->p = node->right->p = NULL; w = (SplayTree(node->left) + SplayTree(node->right)).root; } node->p->fix(); root = node->p->splay(); } } SplayTree operator+(SplayTree o) { if (!root) return o; if (!o.root) return *this; splayLast(); assert(!root->right && !o.root->p); root->right = o.root; root->fix(); return SplayTree(root); } }; inline int64_t hilbertOrder(int x, int y, int pow, int rotate) { if (pow == 0) { return 0; } int hpow = 1 << (pow - 1); int seg = (x < hpow) ? ((y < hpow) ? 0 : 3) : ((y < hpow) ? 1 : 2); seg = (seg + rotate) & 3; const int rotateDelta[4] = {3, 0, 0, 1}; int nx = x & (x ^ hpow), ny = y & (y ^ hpow); int nrot = (rotate + rotateDelta[seg]) & 3; int64_t subSquareSize = int64_t(1) << (2 * pow - 2); int64_t ans = seg * subSquareSize; int64_t add = hilbertOrder(nx, ny, pow - 1, nrot); ans += (seg == 1 || seg == 2) ? add : (subSquareSize - add - 1); return ans; } int main() { std::ios_base::sync_with_stdio(false); std::cin.tie(NULL); int n, m; std::cin >> n >> mod; std::map<int, SplayTree<Info, LazyContext>::Node*> st; SplayTree<Info, LazyContext> tree; struct Query { int l, r; int id; void read() { std::cin >> l >> r; l--; } bool operator<(const Query& o) const { return hilbertOrder(l, r, 21, 0) < hilbertOrder(o.l, o.r, 21, 0); } }; std::vector<int> a(n); for (int i = 0; i < n; i++) { std::cin >> a[i]; if (!st.count(a[i])) { tree.insert(Info(a[i])); st[a[i]] = tree.root; assert(tree.root->base.val == a[i]); } } std::cin >> m; std::vector<Query> qries(m); for (int i = 0; i < m; i++) { qries[i].read(); qries[i].id = i; } std::sort(qries.begin(), qries.end()); std::vector<int> ans(m, -1); int l = 0, r = 0; auto add = [&](int x, int f) { auto node = st[x]; node->base.freq += f; if (node->base.freq == f || node->base.freq == 0) { tree.root = node->splay(); assert(node && node->base.val == x && tree.root == node); node->base.recalc(); node->fix(); } }; for (auto qry : qries) { while (l > qry.l) add(a[--l], 1); while (r < qry.r) add(a[r++], 1); while (r > qry.r) add(a[--r], -1); while (l < qry.l) add(a[l++], -1); ans[qry.id] = tree.root->info.b[1].val; } for (int i = 0; i < m; i++) { std::cout << ans[i] << '\n'; } }
#include <bits/stdc++.h> using namespace std; const int N = 30000 + 5; const int K = 175; const int T = N / K + 5; int n, m, q; int a[N], ind[N], fib[N], ans[N], cnt[N]; int X[N], Y[N]; vector<int> qu[T]; vector<int> vs; int f12[1 << 16], f23[1 << 16], t[1 << 16]; inline int add(int x, int y) { return x + y >= m ? x + y - m : x + y; } inline int mul(int x, int y) { return x * y % m; } void up(int x) { while (x > 1) { x >>= 1; t[x] = t[x + x] + t[x + x + 1]; int c = t[x + x]; if (!c) { f12[x] = f12[x + x + 1]; f23[x] = f23[x + x + 1]; continue; } f12[x] = add(f12[x + x], add(mul(f12[x + x + 1], fib[c - 1]), mul(f23[x + x + 1], fib[c]))); f23[x] = add(f23[x + x], add(mul(f12[x + x + 1], fib[c]), mul(f23[x + x + 1], fib[c + 1]))); } } void add(int x) { if (cnt[x]++ == 0) { x += 1 << 15; t[x] = 1; f12[x] = f23[x] = vs[x - (1 << 15) - 1] % m; up(x); } } void del(int x) { if (--cnt[x] == 0) { x += 1 << 15; t[x] = 0; f12[x] = f23[x] = 0; up(x); } } int main() { scanf("%d %d", &n, &m); fib[1] = 1; for (int i = 2; i < N; i++) fib[i] = add(fib[i - 1], fib[i - 2]); for (int i = 1; i <= n; i++) { scanf("%d", a + i); vs.push_back(a[i]); } sort(vs.begin(), vs.end()); vs.resize(unique(vs.begin(), vs.end()) - vs.begin()); for (int i = 1; i <= n; i++) { ind[i] = lower_bound(vs.begin(), vs.end(), a[i]) - vs.begin() + 1; } scanf("%d", &q); for (int i = 1; i <= q; i++) { scanf("%d %d", X + i, Y + i); qu[(X[i] - 1) / K].push_back(i); } for (int it = 0; it < T; it++) { if (qu[it].empty()) continue; memset(cnt, 0, sizeof(cnt)); memset(t, 0, sizeof(t)); memset(f12, 0, sizeof(f12)); memset(f23, 0, sizeof(f23)); sort(qu[it].begin(), qu[it].end(), [&](int x, int y) { return Y[x] < Y[y]; }); int last = min((it + 1) * K, n); int R = last; for (auto id : qu[it]) { int x = X[id]; int y = Y[id]; for (int i = R + 1; i <= y; i++) { add(ind[i]); R = i; } for (int i = x; i <= y and i <= last; i++) { add(ind[i]); } ans[id] = f12[1]; for (int i = x; i <= y and i <= last; i++) { del(ind[i]); } } } for (int i = 1; i <= q; i++) printf("%d\n", ans[i]); return 0; }
#include <bits/stdc++.h> using namespace std; int n, m, q; int a[31000], b[31000], cnt, bel[31000]; int ans[31000], f[31000]; long long v1[31000 << 2], v2[31000 << 2]; int size[31000 << 2], num[31000]; struct node { int l, r, pos; friend bool operator<(node r1, node r2) { if (bel[r1.l] == bel[r2.l]) return r1.r < r2.r; return bel[r1.l] < bel[r2.l]; } } p[31000]; long long cal(long long x, long long y, int pos) { long long t1, t2; if (pos == 1) t1 = 1, t2 = 0; else t1 = f[pos - 2], t2 = f[pos - 1]; return t1 * x + t2 * y; } void pushup(int now, int l, int r) { size[now] = size[now << 1] + size[now << 1 | 1]; v1[now] = (v1[now << 1] + cal(v1[now << 1 | 1], v2[now << 1 | 1], size[now << 1] + 1)) % m; v2[now] = (v2[now << 1] + cal(v1[now << 1 | 1], v2[now << 1 | 1], size[now << 1] + 2)) % m; } void update(int l, int r, int now, int pos, int type) { if (l == r) { size[now] += type; if (type == -1) v1[now] = v2[now] = 0; else v1[now] = v2[now] = b[pos]; return; } int mid = (l + r) >> 1; if (mid >= pos) update(l, mid, now << 1, pos, type); else update(mid + 1, r, now << 1 | 1, pos, type); pushup(now, l, r); } void update(int x, int y) { int t = lower_bound(b + 1, b + 1 + cnt, a[x]) - b; if (y == 1) { num[t]++; if (num[t] == 1) update(1, cnt, 1, t, y); } else { num[t]--; if (num[t] == 0) update(1, cnt, 1, t, y); } } int main() { scanf("%d%d", &n, &m); for (int i = 1; i <= n; i++) scanf("%d", &a[i]), b[i] = a[i]; f[1] = 1; for (int i = 2; i <= n; i++) f[i] = (f[i - 1] + f[i - 2]) % m; sort(b + 1, b + 1 + n); int len = ceil(sqrt(n)); for (int i = 1; i <= n; i++) bel[i] = (i - 1) / len + 1; cnt = unique(b + 1, b + 1 + n) - b - 1; scanf("%d", &q); for (int i = 1; i <= q; i++) scanf("%d%d", &p[i].l, &p[i].r), p[i].pos = i; sort(p + 1, p + 1 + q); int l = 1, r = 0; for (int i = 1; i <= q; i++) { while (l < p[i].l) update(l, -1), l++; while (l > p[i].l) l--, update(l, 1); while (r > p[i].r) update(r, -1), r--; while (r < p[i].r) r++, update(r, 1); ans[p[i].pos] = v1[1]; } for (int i = 1; i <= q; i++) printf("%d\n", ans[i]); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 3e4 + 50; int n, m, q, x; struct node { int val, id; bool operator<(const node &o) const { return val < o.val; } } a[N]; int Fib[N], l[N], r[N], Max[N], Now[N]; long long Ans[N]; int main() { scanf("%d%d", &n, &m); for (int i = 1; i <= n; ++i) { scanf("%d", &a[i].val); a[i].id = i; } sort(a + 1, a + n + 1); Fib[1] = Fib[2] = 1; for (int i = 3; i <= n; ++i) Fib[i] = (Fib[i - 1] + Fib[i - 2]) % m; scanf("%d", &q); for (int i = 1; i <= q; ++i) { scanf("%d%d", &l[i], &r[i]); Max[i] = -1; } for (int i = 1; i <= n; ++i) { x = a[i].val % m; for (int j = 1; j <= q; ++j) if (a[i].id >= l[j] && a[i].id <= r[j] && a[i].val != Max[j]) { Max[j] = a[i].val; Ans[j] += Fib[++Now[j]] * x; } } for (int i = 1; i <= q; i++) printf("%lld\n", Ans[i] % m); }
#include <bits/stdc++.h> using namespace std; template <class T> inline T bigmod(T p, T e, T M) { long long ret = 1; for (; e > 0; e >>= 1) { if (e & 1) ret = (ret * p) % M; p = (p * p) % M; } return (T)ret; } template <class T> inline T gcd(T a, T b) { if (b == 0) return a; return gcd(b, a % b); } template <class T> inline T modinverse(T a, T M) { return bigmod(a, M - 2, M); } int seg[2000001][2], lzy[2000001], fib[200001], M; void update(int idx, int s, int e) { if (s == e) { lzy[idx] = 0; return; } int v1 = (seg[idx * 2 + 1][0] * fib[lzy[idx] - 1] + seg[idx * 2 + 1][1] * fib[lzy[idx]]) % M; int v2 = (seg[idx * 2 + 1][0] * fib[lzy[idx]] + seg[idx * 2 + 1][1] * fib[lzy[idx] + 1]) % M; seg[idx * 2 + 1][0] = v1; seg[idx * 2 + 1][1] = v2; lzy[idx * 2 + 1] += lzy[idx]; v1 = (seg[idx * 2 + 2][0] * fib[lzy[idx] - 1] + seg[idx * 2 + 2][1] * fib[lzy[idx]]) % M; v2 = (seg[idx * 2 + 2][0] * fib[lzy[idx]] + seg[idx * 2 + 2][1] * fib[lzy[idx] + 1]) % M; seg[idx * 2 + 2][0] = v1; seg[idx * 2 + 2][1] = v2; lzy[idx * 2 + 2] += lzy[idx]; lzy[idx] = 0; } void insert1(int idx, int s, int e, int p, int v1, int v2) { if (lzy[idx]) { update(idx, s, e); } if (s == e) { seg[idx][0] = v1; seg[idx][1] = v2; return; } int mid = (s + e) / 2; if (p <= mid) insert1(idx * 2 + 1, s, mid, p, v1, v2); else insert1(idx * 2 + 2, mid + 1, e, p, v1, v2); for (int i = (0); i < (2); ++i) seg[idx][i] = (seg[idx * 2 + 1][i] + seg[idx * 2 + 2][i]) % M; } void insert2(int idx, int s, int e, int st, int ed) { if (st > ed) return; if (lzy[idx]) { update(idx, s, e); } if (s == st && e == ed) { int v = (seg[idx][0] + seg[idx][1]) % M; seg[idx][0] = seg[idx][1]; seg[idx][1] = v; lzy[idx]++; return; } int mid = (s + e) / 2; if (ed <= mid) insert2(idx * 2 + 1, s, mid, st, ed); else if (st > mid) insert2(idx * 2 + 2, mid + 1, e, st, ed); else { insert2(idx * 2 + 1, s, mid, st, mid); insert2(idx * 2 + 2, mid + 1, e, mid + 1, ed); } for (int i = (0); i < (2); ++i) seg[idx][i] = (seg[idx * 2 + 1][i] + seg[idx * 2 + 2][i]) % M; } pair<int, int> query1(int idx, int s, int e, int st, int ed) { if (lzy[idx]) { update(idx, s, e); } if (st > ed) return make_pair(0, 0); if (s == st && e == ed) return make_pair(seg[idx][0], seg[idx][1]); int mid = (s + e) / 2; if (ed <= mid) return query1(idx * 2 + 1, s, mid, st, ed); else if (st > mid) return query1(idx * 2 + 2, mid + 1, e, st, ed); else { pair<int, int> pl = query1(idx * 2 + 1, s, mid, st, mid); pair<int, int> pr = query1(idx * 2 + 2, mid + 1, e, mid + 1, ed); return make_pair((pl.first + pr.first) % M, (pl.second + pr.second) % M); } } int seg2[2000001]; void insert(int idx, int s, int e, int p) { if (s == e) { seg2[idx]++; return; } int mid = (s + e) / 2; if (p <= mid) insert(idx * 2 + 1, s, mid, p); else insert(idx * 2 + 2, mid + 1, e, p); seg2[idx]++; } int query(int idx, int s, int e, int st, int ed) { if (st > ed) return 0; if (s == st && e == ed) return seg2[idx]; int mid = (s + e) / 2; if (ed <= mid) return query(idx * 2 + 1, s, mid, st, ed); else if (st > mid) return query(idx * 2 + 2, mid + 1, e, st, ed); else { return query(idx * 2 + 1, s, mid, st, mid) + query(idx * 2 + 2, mid + 1, e, mid + 1, ed); } } pair<int, int> pp[300001]; vector<pair<int, int> > vc[300001]; int res[300001]; map<int, int> mm; int ar[300001], val[300001]; int on[300001]; int main() { ios_base::sync_with_stdio(0); cin.tie(0); int n; cin >> n >> M; for (int i = (0); i < (n); ++i) { cin >> ar[i]; mm[ar[i]] = 1; } int cnt = 0; for (auto &v : mm) { v.second = ++cnt; val[v.second] = v.first % M; } for (int i = (0); i < (n); ++i) { ar[i] = mm[ar[i]]; } fib[0] = 0; fib[1] = 1 % M; for (int i = 2; i <= 200000; i++) fib[i] = (fib[i - 1] + fib[i - 2]) % M; int SZ = 230; int q; cin >> q; for (int i = (0); i < (q); ++i) { int l, r; cin >> l >> r; l--; r--; pp[i] = make_pair(l, r); if ((l / SZ) == (r / SZ)) { set<int> S; for (int j = l; j <= r; j++) S.insert(ar[j]); int cc = 0; for (auto &v : S) { res[i] = (res[i] + val[v] * fib[++cc]) % M; } continue; } vc[r].push_back(make_pair(l, i)); } for (int i = 0; i < n; i += SZ) { memset(on, 0, sizeof on); memset(seg, 0, sizeof seg); memset(seg2, 0, sizeof seg2); for (int j = i + SZ; j < n; j++) { if (on[ar[j]] == 0) { on[ar[j]] = 1; int pre = query(0, 1, cnt, 1, ar[j] - 1) + 1; insert(0, 1, cnt, ar[j]); insert1(0, 1, cnt, ar[j], (val[ar[j]] * fib[pre - 1]) % M, (val[ar[j]] * fib[pre]) % M); insert2(0, 1, cnt, ar[j] + 1, cnt); } for (int k = (0); k < (vc[j].size()); ++k) { if (vc[j][k].first < i || vc[j][k].first >= i + SZ) continue; set<int> S; for (int l = i + SZ - 1; l >= vc[j][k].first; l--) { if (on[ar[l]] || S.count(ar[l])) continue; S.insert(ar[l]); } int cc = 0, pre = 0, tot = 0; for (auto &v : S) { pair<int, int> p = query1(0, 1, cnt, pre + 1, v); int pcnt = query(0, 1, cnt, pre + 1, v); int vv = (p.first * fib[cc] + p.second * fib[cc + 1]) % M; pre = v; tot += pcnt + 1; cc++; vv = (vv + val[v] * fib[tot]) % M; res[vc[j][k].second] = (res[vc[j][k].second] + vv) % M; } pair<int, int> p = query1(0, 1, cnt, pre + 1, cnt); int vv = (p.first * fib[cc] + p.second * fib[cc + 1]) % M; res[vc[j][k].second] = (res[vc[j][k].second] + vv) % M; } } } for (int i = (0); i < (q); ++i) cout << res[i] << "\n"; }
#include <bits/stdc++.h> using namespace std; const int maxn = 30010; pair<int, int> a[maxn]; int f[maxn], L[maxn], R[maxn], num[maxn], ans[maxn], lt[maxn]; int main() { int N, M, P; scanf("%d%d", &N, &P); f[1] = 1; f[2] = 1; for (int i = 3; i <= N; i++) f[i] = (f[i - 1] + f[i - 2]) % P; for (int i = 1; i <= N; i++) scanf("%d", &a[i].first), a[i].first, a[i].second = i; sort(a + 1, a + N + 1); scanf("%d", &M); for (int i = 1; i <= M; i++) { scanf("%d%d", &L[i], &R[i]); lt[i] = -1; } for (int i = 1; i <= N; i++) { int d = a[i].first % P; for (int j = 1; j <= M; j++) { if (a[i].second > R[j] || a[i].second < L[j]) continue; if (a[i].first == lt[j]) continue; ans[j] = (ans[j] + f[++num[j]] * d) % P; lt[j] = a[i].first; } } for (int i = 1; i <= M; i++) printf("%d\n", ans[i]); return 0; }
#include <bits/stdc++.h> using namespace std; const long double pi = 3.1415926535897932384626433832795l; template <typename T> inline auto sqr(T x) -> decltype(x * x) { return x * x; } template <typename T1, typename T2> inline bool umx(T1& a, T2 b) { if (a < b) { a = b; return 1; } return 0; } template <typename T1, typename T2> inline bool umn(T1& a, T2 b) { if (b < a) { a = b; return 1; } return 0; } const int N = 30000; const int M = 30000; struct Input { int mod; int n, m; int a[N]; int l[M], r[M]; bool read() { if (!(cin >> n >> mod)) { return 0; } for (int i = int(0); i < int(n); ++i) { scanf("%d", &a[i]); } cin >> m; for (int i = int(0); i < int(m); ++i) { scanf("%d%d", &l[i], &r[i]); --l[i]; } return 1; } void init(const Input& input) { *this = input; } }; struct Data : Input { int ans[M]; void write() { for (int i = int(0); i < int(m); ++i) { cout << ans[i] << endl; } } virtual void solve() {} virtual void clear() { *this = Data(); } }; struct Solution : Data { static const int K = 13; static const int D = N / K + 1; int f[N + 10]; int p[N], rev[N]; int cnt[M]; int hv[M]; int msk[N + 1]; int mb[1 << K], bt[2][1 << K], v[2][1 << K][2]; void solve() { f[0] = 1; f[1] = 0; for (int i = int(0); i < int(N + 8); ++i) { f[i + 2] = (f[i] + f[i + 1]) % mod; } for (int i = int(0); i < int(n); ++i) { p[i] = i; } sort(p, p + n, [&](int i, int j) { return a[i] < a[j]; }); ; for (int i = int(0); i < int(n); ++i) { rev[p[i]] = i; } for (int i = int(0); i < int(1 << K); ++i) { mb[i] = K; while (mb[i] >= 0 && !(i & (1 << mb[i]))) { --mb[i]; } } memset(ans, 0, sizeof ans); memset(cnt, 0, sizeof cnt); memset(hv, -1, sizeof hv); for (int t = int(0); t < int(D); ++t) { if (t * K >= n) { break; }; msk[0] = 0; for (int i = int(0); i < int(n); ++i) { msk[i + 1] = msk[i]; if (rev[i] >= t * K && rev[i] < (t + 1) * K) { msk[i + 1] |= 1 << (rev[i] - t * K); } }; memset(v, 0, sizeof v); memset(bt, 0, sizeof bt); for (int w = int(0); w < int(2); ++w) { for (int i = int(0); i < int(min(K, n - t * K)); ++i) { for (int q = int(0); q < int(1 << i); ++q) { if (i ? (a[p[t * K + i]] == a[p[t * K + i - 1]]) : w) { if (i) { v[w][q | (1 << i)][0] = v[w][q | (1 << (i - 1))][0]; v[w][q | (1 << i)][1] = v[w][q | (1 << (i - 1))][1]; bt[w][q | (1 << i)] = bt[w][q | (1 << (i - 1))]; } else { v[w][q | (1 << i)][0] = v[w][q][0]; v[w][q | (1 << i)][1] = v[w][q][1]; bt[w][q | (1 << i)] = bt[w][q]; } } else { v[w][q | (1 << i)][0] = (v[w][q][0] + f[bt[w][q]] * (a[p[t * K + i]] % mod)) % mod; v[w][q | (1 << i)][1] = (v[w][q][1] + f[bt[w][q] + 1] * (a[p[t * K + i]] % mod)) % mod; bt[w][q | (1 << i)] = bt[w][q] + 1; } } } } for (int i = int(0); i < int(m); ++i) { int ttt = (hv[i] == -1) ? 0 : (a[p[hv[i]]] == a[p[t * K]]); int mmm = msk[r[i]] & ~msk[l[i]]; ans[i] = (ans[i] + v[ttt][mmm][0] * f[cnt[i] + 2] + v[ttt][mmm][1] * f[cnt[i] + 3]) % mod; ; ; ; cnt[i] += bt[ttt][mmm]; if (mb[mmm] != -1) { hv[i] = t * K + mb[mmm]; } } } } void clear() { *this = Solution(); } }; Solution sol; int main() { ; cout.setf(ios::showpoint | ios::fixed); cout.precision(20); sol.read(); sol.solve(); sol.write(); return 0; }
#include <bits/stdc++.h> using namespace std; int n, m; int a[30005], tmp[30005]; int B; struct query { int l, r, id; bool operator<(const query &x) const { if (l / B != x.l / B) return l < x.l; return (l / B) & 1 ? r < x.r : r > x.r; } } q[30005]; struct matrix { int a, b, c, d; void set() { a = d = 1; b = c = 0; } void operator*(const matrix &w) { matrix s; s.a = (a * w.a + b * w.c) % m; s.b = (a * w.b + b * w.d) % m; s.c = (c * w.a + d * w.c) % m; s.d = (c * w.b + d * w.d) % m; a = s.a; b = s.b; c = s.c; d = s.d; } } zy, nzy, ad[30005 << 2], sum[30005 << 2]; int f[30005], vis[30005 << 2]; int ss[30005]; int lb(int x) { return x & (-x); } void adds(int x, int y) { for (; x <= n; x += lb(x)) ss[x] += y; } int ask(int x) { int ans = 0; for (; x; x -= lb(x)) ans += ss[x]; return ans; } void build(int k, int l, int r) { ad[k].set(); if (l == r) return; int mid = l + r >> 1; build(k << 1, l, mid); build(k << 1 | 1, mid + 1, r); } void add(int k, const matrix &w) { ad[k] * w; sum[k] * w; vis[k] = 1; } void pd(int k) { if (!vis[k]) return; add(k << 1, ad[k]); add(k << 1 | 1, ad[k]); ad[k].set(); vis[k] = 0; } void update(int k) { sum[k].a = (sum[k << 1].a + sum[k << 1 | 1].a) % m; sum[k].b = (sum[k << 1].b + sum[k << 1 | 1].b) % m; } void change(int k, int l, int r, int a, int x, int y, int op) { sum[k].a += op * x + m; sum[k].b += op * y + m; sum[k].a %= m; sum[k].b %= m; if (l == r) return; pd(k); int mid = l + r >> 1; if (a <= mid) change(k << 1, l, mid, a, x, y, op); else change(k << 1 | 1, mid + 1, r, a, x, y, op); } void change(int k, int l, int r, int x, int y, const matrix &a) { if (x > y) return; if (x <= l && r <= y) return add(k, a); pd(k); int mid = l + r >> 1; if (x <= mid) change(k << 1, l, mid, x, y, a); if (mid < y) change(k << 1 | 1, mid + 1, r, x, y, a); update(k); } int t[30005]; void add(int x) { t[a[x]]++; if (t[a[x]] == 1) { adds(a[x], 1); int s = ask(a[x]); change(1, 1, n, a[x], f[s - 1] * tmp[a[x]] % m, f[s] * tmp[a[x]] % m, 1); change(1, 1, n, a[x] + 1, n, zy); } } void erase(int x) { t[a[x]]--; if (t[a[x]] == 0) { change(1, 1, n, a[x] + 1, n, nzy); int s = ask(a[x]); change(1, 1, n, a[x], f[s - 1] * tmp[a[x]] % m, f[s] * tmp[a[x]] % m, -1); adds(a[x], -1); } } int res[30005]; signed main() { zy.b = zy.c = zy.d = 1; scanf("%d%d", &n, &m); nzy.b = nzy.c = 1; nzy.a = m - 1; f[1] = 1; for (int i = 1; i <= n; i++) scanf("%d", &a[i]), tmp[i] = a[i]; for (int i = 2; i <= n; i++) f[i] = (f[i - 1] + f[i - 2]) % m; sort(tmp + 1, tmp + n + 1); int sss = unique(tmp + 1, tmp + n + 1) - tmp - 1; for (int i = 1; i <= n; i++) a[i] = lower_bound(tmp + 1, tmp + sss + 1, a[i]) - tmp; for (int i = 1; i <= n; i++) tmp[i] %= m; int Q; scanf("%d", &Q); for (int i = 1; i <= Q; i++) { scanf("%d%d", &q[i].l, &q[i].r); q[i].id = i; } B = sqrt(n); sort(q + 1, q + Q + 1); int l = 1, r = 0; build(1, 1, n); for (int i = 1; i <= Q; i++) { while (r < q[i].r) add(++r); while (l > q[i].l) add(--l); while (r > q[i].r) erase(r--); while (l < q[i].l) erase(l++); res[q[i].id] = sum[1].b; } for (int i = 1; i <= Q; i++) cout << res[i] << "\n"; return 0; }
#include <bits/stdc++.h> using namespace std; struct ai { int a, num; bool operator<(const ai &B) const { return a < B.a; } } a[30001]; int n, m, q, top; int num[30001], l[30001], r[30001], la[30001]; int fi[30001]; int ans[30001]; int main() { scanf("%d%d", &n, &m); for (int i = 1; i <= n; i++) { scanf("%d", &a[i].a); a[i].num = i; } sort(a + 1, a + 1 + n); fi[1] = 1; for (int i = 2; i <= n; i++) fi[i] = (fi[i - 1] + fi[i - 2]) % m; scanf("%d", &q); for (int i = 0; i < q; i++) { scanf("%d%d", &l[i], &r[i]); } for (int i = 1; i <= n; i++) { for (int j = 0; j < q; j++) { if (a[i].num < l[j] || a[i].num > r[j] || a[i].a == la[j]) continue; num[j]++; ans[j] = (ans[j] + (a[i].a % m) * (fi[num[j]])) % m; la[j] = a[i].a; } } for (int i = 0; i < q; i++) printf("%d\n", ans[i]); return 0; }
#include <bits/stdc++.h> using namespace std; int F[30030]; int n; int mod; int a[30030], id[30030]; int nxt[30030]; bool cmp(int i, int j) { return a[i] < a[j]; } int m; struct pnt { int l, r, i; pnt(int l = 0, int r = 0, int i = 0) : l(l), r(r), i(i){}; } q[30030]; bool operator<(pnt a, pnt b) { return b.l != a.l ? a.l < b.l : a.r < b.r; } int answer[30030]; int calc(int l, int r) { int s = 0, m = 0; for (int j, i = 1; i <= n; i++) { j = id[i]; if (j >= l && j <= r) { s = (s + F[++m] * a[j]) % mod; i = nxt[i]; } } return s; } int main() { scanf("%d %d", &n, &mod); F[1] = F[2] = 1 % mod; for (int i = 3; i <= n; i++) { F[i] = (F[i - 1] + F[i - 2]) % mod; } for (int i = 1; i <= n; i++) { scanf("%d", a + i); id[i] = i; } sort(id + 1, id + n + 1, cmp); nxt[n] = n; for (int j = n - 1; j >= 1; j--) { if (a[id[j]] == a[id[j + 1]]) { nxt[j] = nxt[j + 1]; } else { nxt[j] = j; } } for (int j = 1; j <= n; j++) { a[j] %= mod; } scanf("%d", &m); for (int i = 1; i <= m; i++) { scanf("%d %d", &q[i].l, &q[i].r); q[i].i = i; } sort(q + 1, q + m + 1); for (int i = 1; i <= m; i++) { if (i > 1 && q[i].l == q[i - 1].l && q[i].r == q[i - 1].r) { answer[q[i].i] = answer[q[i - 1].i]; } else { answer[q[i].i] = calc(q[i].l, q[i].r); } } for (int i = 1; i <= m; i++) { printf("%d\n", answer[i]); } return 0; }
#include <bits/stdc++.h> using namespace std; template <typename T> inline bool upmin(T &x, T y) { return y < x ? x = y, 1 : 0; } template <typename T> inline bool upmax(T &x, T y) { return x < y ? x = y, 1 : 0; } const long double eps = 1e-11; const long double pi = acos(-1); const int oo = 1 << 30; const long long loo = 1ll << 62; const int mods = 1e9 + 7; const int MAXN = 30050; const int INF = 0x3f3f3f3f; inline int read() { int f = 1, x = 0; char c = getchar(); while (c < '0' || c > '9') { if (c == '-') f = -1; c = getchar(); } while (c >= '0' && c <= '9') { x = (x << 3) + (x << 1) + (c ^ 48); c = getchar(); } return x * f; } using namespace std; struct qnode { int x, id; bool operator<(const qnode &a) const { return x < a.x; } } a[MAXN]; int Fib[MAXN], l[MAXN], r[MAXN], smax[MAXN], num[MAXN]; long long Ans[MAXN]; int main() { int n = read(), mods = read(); for (int i = 1; i <= n; i++) a[i].x = read(), a[i].id = i; sort(a + 1, a + n + 1); int m = read(); for (int i = 1; i <= m; i++) l[i] = read(), r[i] = read(), smax[i] = -1; Fib[1] = Fib[2] = 1; for (int i = 3; i <= n; i++) Fib[i] = (Fib[i - 1] + Fib[i - 2]) % mods; for (int i = 1; i <= n; i++) { int x = a[i].x % mods; for (int j = 1; j <= m; j++) if (a[i].id >= l[j] && a[i].id <= r[j] && a[i].x != smax[j]) smax[j] = a[i].x, num[j]++, Ans[j] += Fib[num[j]] * x; } for (int i = 1; i <= m; i++) printf("%lld\n", Ans[i] % mods); }
#include <bits/stdc++.h> using namespace std; const int N = 30010; const int M = 1e7 + 1000; int f[N], n, m, k; struct pp { int id, v; } p[N]; int l[N], r[N], cnt[N], maxx[N]; long long ans[N]; inline int read() { char c = getchar(); int a = 0; int aa = 1; for (; c < '0' || c > '9'; c = getchar()) if (c == '-') aa = -1; for (; c >= '0' && c <= '9'; c = getchar()) a = (a * 10) + c - 48; return aa * a; } bool cmp(pp a, pp b) { return a.v < b.v; } int main() { n = read(); m = read(); f[0] = 0; f[1] = 1; for (int i = 2; i <= 30000; i++) f[i] = (f[i - 1] + f[i - 2]) % m; for (int i = 1; i <= n; i++) { p[i].v = read(); p[i].id = i; } sort(p + 1, p + n + 1, cmp); k = read(); for (int i = 1; i <= k; i++) { l[i] = read(); r[i] = read(); maxx[i] = -1; } for (int i = 1; i <= n; i++) { int x = p[i].v % m; for (int j = 1; j <= k; j++) if (p[i].id >= l[j] && p[i].id <= r[j] && p[i].v != maxx[j]) { maxx[j] = p[i].v; ans[j] += f[++cnt[j]] * x; } } for (int i = 1; i <= k; i++) printf("%lld\n", ans[i] % m); return 0; }
#include <bits/stdc++.h> using namespace std; const long double pi = 3.1415926535897932384626433832795l; template <typename T> inline auto sqr(T x) -> decltype(x * x) { return x * x; } template <typename T1, typename T2> inline bool umx(T1& a, T2 b) { if (a < b) { a = b; return 1; } return 0; } template <typename T1, typename T2> inline bool umn(T1& a, T2 b) { if (b < a) { a = b; return 1; } return 0; } const int N = 30000; const int M = 30000; struct Input { int mod; int n, m; int a[N]; int l[M], r[M]; bool read() { if (!(cin >> n >> mod)) { return 0; } for (int i = int(0); i < int(n); ++i) { scanf("%d", &a[i]); } cin >> m; for (int i = int(0); i < int(m); ++i) { scanf("%d%d", &l[i], &r[i]); --l[i]; } return 1; } void init(const Input& input) { *this = input; } }; struct Data : Input { int ans[M]; void write() { for (int i = int(0); i < int(m); ++i) { cout << ans[i] << endl; } } virtual void solve() {} virtual void clear() { *this = Data(); } }; struct Solution : Data { static const int K = 12; static const int D = N / K + 1; int f[N + 10]; int p[N], rev[N]; int cnt[M]; int hv[M]; int msk[N + 1]; int mb[1 << K], bt[2][1 << K], v[2][1 << K][2]; void solve() { f[0] = 1; f[1] = 0; for (int i = int(0); i < int(N + 8); ++i) { f[i + 2] = (f[i] + f[i + 1]) % mod; } for (int i = int(0); i < int(n); ++i) { p[i] = i; } sort(p, p + n, [&](int i, int j) { return a[i] < a[j]; }); ; for (int i = int(0); i < int(n); ++i) { rev[p[i]] = i; } for (int i = int(0); i < int(1 << K); ++i) { mb[i] = K; while (mb[i] >= 0 && !(i & (1 << mb[i]))) { --mb[i]; } } memset(ans, 0, sizeof ans); memset(cnt, 0, sizeof cnt); memset(hv, -1, sizeof hv); for (int t = int(0); t < int(D); ++t) { if (t * K >= n) { break; }; msk[0] = 0; for (int i = int(0); i < int(n); ++i) { msk[i + 1] = msk[i]; if (rev[i] >= t * K && rev[i] < (t + 1) * K) { msk[i + 1] |= 1 << (rev[i] - t * K); } }; memset(v, 0, sizeof v); memset(bt, 0, sizeof bt); for (int w = int(0); w < int(2); ++w) { for (int i = int(0); i < int(min(K, n - t * K)); ++i) { for (int q = int(0); q < int(1 << i); ++q) { if (i ? (a[p[t * K + i]] == a[p[t * K + i - 1]]) : w) { if (i) { v[w][q | (1 << i)][0] = v[w][q | (1 << (i - 1))][0]; v[w][q | (1 << i)][1] = v[w][q | (1 << (i - 1))][1]; bt[w][q | (1 << i)] = bt[w][q | (1 << (i - 1))]; } else { v[w][q | (1 << i)][0] = v[w][q][0]; v[w][q | (1 << i)][1] = v[w][q][1]; bt[w][q | (1 << i)] = bt[w][q]; } } else { v[w][q | (1 << i)][0] = (v[w][q][0] + f[bt[w][q]] * (a[p[t * K + i]] % mod)) % mod; v[w][q | (1 << i)][1] = (v[w][q][1] + f[bt[w][q] + 1] * (a[p[t * K + i]] % mod)) % mod; bt[w][q | (1 << i)] = bt[w][q] + 1; } } } } for (int i = int(0); i < int(m); ++i) { int ttt = (hv[i] == -1) ? 0 : (a[p[hv[i]]] == a[p[t * K]]); int mmm = msk[r[i]] & ~msk[l[i]]; ans[i] = (ans[i] + v[ttt][mmm][0] * f[cnt[i] + 2] + v[ttt][mmm][1] * f[cnt[i] + 3]) % mod; ; ; ; cnt[i] += bt[ttt][mmm]; if (mb[mmm] != -1) { hv[i] = t * K + mb[mmm]; } } } } void clear() { *this = Solution(); } }; Solution sol; int main() { ; cout.setf(ios::showpoint | ios::fixed); cout.precision(20); sol.read(); sol.solve(); sol.write(); return 0; }
#include <bits/stdc++.h> using namespace std; const long double pi = 3.1415926535897932384626433832795l; template <typename T> inline auto sqr(T x) -> decltype(x * x) { return x * x; } template <typename T1, typename T2> inline bool umx(T1& a, T2 b) { if (a < b) { a = b; return 1; } return 0; } template <typename T1, typename T2> inline bool umn(T1& a, T2 b) { if (b < a) { a = b; return 1; } return 0; } const int N = 30000; const int M = 30000; struct Input { int mod; int n, m; int a[N]; int l[M], r[M]; bool read() { if (!(cin >> n >> mod)) { return 0; } for (int i = int(0); i < int(n); ++i) { scanf("%d", &a[i]); } cin >> m; for (int i = int(0); i < int(m); ++i) { scanf("%d%d", &l[i], &r[i]); --l[i]; } return 1; } void init(const Input& input) { *this = input; } }; struct Data : Input { int ans[M]; void write() { for (int i = int(0); i < int(m); ++i) { cout << ans[i] << endl; } } virtual void solve() {} virtual void clear() { *this = Data(); } }; struct Solution : Data { static const int K = 11; static const int D = N / K + 1; int f[N + 10]; int p[N], rev[N]; int cnt[M]; int hv[M]; int msk[N + 1]; int mb[1 << K], bt[2][1 << K], v[2][1 << K][2]; void solve() { f[0] = 1; f[1] = 0; for (int i = int(0); i < int(N + 8); ++i) { f[i + 2] = (f[i] + f[i + 1]) % mod; } for (int i = int(0); i < int(n); ++i) { p[i] = i; } sort(p, p + n, [&](int i, int j) { return a[i] < a[j]; }); for (int i = int(0); i < int(n); ++i) { rev[p[i]] = i; } mb[0] = -1; for (int i = int(0); i < int(K); ++i) { for (int q = int(0); q < int(1 << i); ++q) { mb[q | (1 << i)] = i; } } memset(ans, 0, sizeof ans); memset(cnt, 0, sizeof cnt); memset(hv, -1, sizeof hv); for (int t = int(0); t < int(D); ++t) { if (t * K >= n) { break; } msk[0] = 0; for (int i = int(0); i < int(n); ++i) { msk[i + 1] = msk[i]; if (rev[i] >= t * K && rev[i] < (t + 1) * K) { msk[i + 1] |= 1 << (rev[i] - t * K); } } memset(v, 0, sizeof v); memset(bt, 0, sizeof bt); for (int w = int(0); w < int(2); ++w) { for (int i = int(0); i < int(min(K, n - t * K)); ++i) { for (int q = int(0); q < int(1 << i); ++q) { if (i ? (a[p[t * K + i]] == a[p[t * K + i - 1]]) : w) { int q0 = i ? (q | (1 << (i - 1))) : q; for (int z = int(0); z < int(2); ++z) { v[w][q | (1 << i)][z] = v[w][q0][z]; } bt[w][q | (1 << i)] = bt[w][q0]; } else { for (int z = int(0); z < int(2); ++z) { v[w][q | (1 << i)][z] = (v[w][q][z] + f[bt[w][q] + z] * (a[p[t * K + i]] % mod)) % mod; } bt[w][q | (1 << i)] = bt[w][q] + 1; } } } } for (int i = int(0); i < int(m); ++i) { int ttt = (hv[i] == -1) ? 0 : (a[p[hv[i]]] == a[p[t * K]]); int mmm = msk[r[i]] & ~msk[l[i]]; for (int z = int(0); z < int(2); ++z) { ans[i] = (ans[i] + v[ttt][mmm][z] * f[cnt[i] + 2 + z]) % mod; } cnt[i] += bt[ttt][mmm]; if (mb[mmm] != -1) { hv[i] = t * K + mb[mmm]; } } } } void clear() { *this = Solution(); } }; Solution sol; int main() { cout.setf(ios::showpoint | ios::fixed); cout.precision(20); sol.read(); sol.solve(); sol.write(); return 0; }
#include <bits/stdc++.h> using namespace std; struct data { int l, r, id, s; int operator<(const data &b) const { return s != b.s ? s < b.s : r < b.r; } } Q[30005]; int n, m, sign, P, i, L, R, S; int have[30005 << 2], w[30005], b[30005], U[30005], pos[30005], num[30005], ans[30005]; struct matrix { int p[2][2]; inline matrix operator*(const matrix &b) const { matrix c; for (int i = 0; i < 2; i++) for (int j = 0; j < 2; j++) { c.p[i][j] = 0; for (int k = 0; k < 2; k++) c.p[i][j] += p[i][k] * b.p[k][j]; c.p[i][j] %= P; } return c; } inline void operator+=(const matrix &b) { for (int i = 0; i < 2; i++) for (int j = 0; j < 2; j++) if ((p[i][j] += b.p[i][j]) >= P) p[i][j] -= P; } } a[30005 << 2], Pow[30005]; void Insert(int x, int l, int r, int pos) { if (l == r) { a[x].p[0][0] = a[x].p[0][1] = a[x].p[1][0] = sign * w[l]; have[x] = sign; return; } int mid = (l + r) >> 1; if (pos <= mid) Insert(x << 1, l, mid, pos); else Insert(x << 1 | 1, mid + 1, r, pos); have[x] = have[x << 1] + have[x << 1 | 1]; a[x] = a[x << 1]; a[x] += a[x << 1 | 1] * Pow[have[x << 1]]; } int main() { scanf("%d%d", &n, &P); for (i = 1; i <= n; i++) scanf("%d", &U[i]), b[i] = U[i]; sort(U + 1, U + n + 1); *U = unique(U + 1, U + n + 1) - (U + 1); for (i = 1; i <= n; i++) w[pos[i] = lower_bound(U + 1, U + *U + 1, b[i]) - U] = b[i] % P; Pow[0].p[0][0] = Pow[0].p[1][1] = 1; Pow[1].p[0][0] = Pow[1].p[0][1] = Pow[1].p[1][0] = 1; for (i = 2; i <= n; i++) Pow[i] = Pow[i - 1] * Pow[1]; S = sqrt(n); scanf("%d", &m); for (i = 1; i <= m; i++) scanf("%d%d", &Q[i].l, &Q[i].r), Q[i].id = i, Q[i].s = Q[i].l / S; sort(Q + 1, Q + m + 1); L = 1; R = 0; for (i = 1; i <= m; i++) { sign = 1; for (; R < Q[i].r;) if ((++num[pos[++R]]) == 1) Insert(1, 1, n, pos[R]); for (; L > Q[i].l;) if ((++num[pos[--L]]) == 1) Insert(1, 1, n, pos[L]); sign = 0; for (; R > Q[i].r; R--) if ((--num[pos[R]]) == 0) Insert(1, 1, n, pos[R]); for (; L < Q[i].l; L++) if ((--num[pos[L]]) == 0) Insert(1, 1, n, pos[L]); ans[Q[i].id] = a[1].p[0][1]; } for (i = 1; i <= m; i++) printf("%d\n", ans[i]); }
#include <bits/stdc++.h> using namespace std; const int MaxN = 30010, MaxT = 1 << 16, Block = 200; int n, mod, q; int a[MaxN], val[MaxN], vtot; int inc(int x, int v) { x += v; return x >= mod ? x - mod : x; } struct query { int l, r, id; bool operator<(const query &a) const { if (l / Block == a.l / Block) return r < a.r; return l < a.l; } } Q[MaxN]; struct Matrix { int c[2][2]; Matrix operator*=(const Matrix &a) { int ret[2][2]; ret[0][0] = (c[0][0] * a.c[0][0] + c[0][1] * a.c[1][0]) % mod; ret[0][1] = (c[0][0] * a.c[0][1] + c[0][1] * a.c[1][1]) % mod; ret[1][0] = (c[1][0] * a.c[0][0] + c[1][1] * a.c[1][0]) % mod; ret[1][1] = (c[1][0] * a.c[0][1] + c[1][1] * a.c[1][1]) % mod; memcpy(c, ret, sizeof(ret)); return *this; } Matrix operator*(const Matrix &a) const { Matrix ret; ret.c[0][0] = (c[0][0] * a.c[0][0] + c[0][1] * a.c[1][0]) % mod; ret.c[0][1] = (c[0][0] * a.c[0][1] + c[0][1] * a.c[1][1]) % mod; ret.c[1][0] = (c[1][0] * a.c[0][0] + c[1][1] * a.c[1][0]) % mod; ret.c[1][1] = (c[1][0] * a.c[0][1] + c[1][1] * a.c[1][1]) % mod; return ret; } } I, F, pow_F[MaxN * 2], invF, *power; struct Vector { int c[2]; Vector() {} Vector(int x, int y) { c[0] = x, c[1] = y; } Vector operator*=(const Matrix &a) { int ret[2]; ret[0] = (a.c[0][0] * c[0] + a.c[0][1] * c[1]) % mod; ret[1] = (a.c[1][0] * c[0] + a.c[1][1] * c[1]) % mod; memcpy(c, ret, sizeof(ret)); return *this; } Vector operator+(const Vector &a) const { return Vector(inc(c[0], a.c[0]), inc(c[1], a.c[1])); } }; int ans[MaxN]; struct Tree_node { int lazy; Vector sum; } T[MaxT]; void set_lazy(int now, int d) { if (!d) return; T[now].sum *= power[d]; T[now].lazy += d; } void push_down(int now) { set_lazy(now << 1, T[now].lazy); set_lazy(now << 1 | 1, T[now].lazy); T[now].lazy = 0; } void update(int now) { T[now].sum = T[now << 1].sum + T[now << 1 | 1].sum; } void modify_c(int l, int r, int x, int now, int d) { if (l == r) { T[now].sum.c[0] = power[T[now].lazy].c[0][0] * d % mod; T[now].sum.c[1] = power[T[now].lazy].c[1][0] * d % mod; return; } int mid = (l + r) >> 1; push_down(now); if (x <= mid) modify_c(l, mid, x, now << 1, d); else modify_c(mid + 1, r, x, now << 1 | 1, d); update(now); } void modify_mul(int l, int r, int x, int now, int d) { if (r < x) return; if (x <= l) return set_lazy(now, d); int mid = (l + r) >> 1; push_down(now); modify_mul(l, mid, x, now << 1, d); modify_mul(mid + 1, r, x, now << 1 | 1, d); update(now); } void init() { I.c[0][0] = I.c[1][1] = 1; F.c[0][0] = F.c[0][1] = F.c[1][0] = 1; invF.c[0][1] = invF.c[1][0] = 1; invF.c[1][1] = mod - 1; power = pow_F + MaxN; power[0] = I; for (int i = 1; i <= n; ++i) power[i] = power[i - 1] * F; for (int i = 1; i <= n; ++i) power[-i] = power[-i + 1] * invF; } int cnt[MaxN]; bool inside[MaxN]; void do_reverse(int pos) { int u = a[pos]; if (inside[pos]) { if (--cnt[u] == 0) { modify_c(1, vtot, u, 1, 0); modify_mul(1, vtot, u + 1, 1, -1); } } else { if (cnt[u]++ == 0) { modify_c(1, vtot, u, 1, val[u] % mod); modify_mul(1, vtot, u + 1, 1, 1); } } inside[pos] ^= 1; } void move(int &last, int to) { while (last < to) do_reverse(++last); while (last > to) do_reverse(last--); } int main() { scanf("%d%d", &n, &mod); for (int i = 1; i <= n; ++i) { scanf("%d", a + i); val[i] = a[i]; } sort(val + 1, val + n + 1); vtot = unique(val + 1, val + n + 1) - val - 1; for (int i = 1; i <= n; ++i) a[i] = lower_bound(val + 1, val + vtot + 1, a[i]) - val; scanf("%d", &q); for (int i = 1; i <= q; ++i) { scanf("%d%d", &Q[i].l, &Q[i].r); Q[i].id = i; } sort(Q + 1, Q + q + 1); init(); int l = 0, r = 0; for (int i = 1; i <= q; ++i) { move(l, Q[i].l - 1); move(r, Q[i].r); ans[Q[i].id] = T[1].sum.c[0]; } for (int i = 1; i <= q; ++i) printf("%d\n", ans[i]); return 0; }
#include <bits/stdc++.h> using namespace std; const int INF = 0x3f3f3f3f; const int maxn = 3e4 + 50; int n, mod, q, a[maxn], fib[maxn << 1], pos[maxn]; int d, un[maxn], ranks[maxn]; int cnt[maxn]; int L = 1, R = 0, ans[maxn]; struct node { int l, r, id; } Q[maxn]; bool cmp(node a, node b) { if (pos[a.l] == pos[b.l]) return a.r < b.r; return a.l < b.l; } int lazy[maxn << 2], fx_1[maxn << 2], fx[maxn << 2]; void shift(int sign, int p) { int a = (fx_1[sign] * fib[d + p] + fx[sign] * fib[d + p + 1]) % mod; int b = (fx_1[sign] * fib[d + p - 1] + fx[sign] * fib[d + p]) % mod; fx_1[sign] = b, fx[sign] = a; } void pushup(int sign) { fx_1[sign] = (fx_1[sign << 1] + fx_1[sign << 1 | 1]) % mod; fx[sign] = (fx[sign << 1] + fx[sign << 1 | 1]) % mod; } void pushdown(int sign) { if (lazy[sign]) { lazy[sign << 1] += lazy[sign]; lazy[sign << 1 | 1] += lazy[sign]; shift(sign << 1, lazy[sign]); shift(sign << 1 | 1, lazy[sign]); lazy[sign] = 0; } } void right(int sign, int l, int r, int x) { if (l == r) { fx_1[sign] = un[l] % mod * fib[d + lazy[sign]] % mod; fx[sign] = un[l] % mod * fib[d + lazy[sign] + 1] % mod; return; } pushdown(sign); int mid = (l + r) >> 1; if (x <= mid) { right(sign << 1, l, mid, x); lazy[sign << 1 | 1]++; shift(sign << 1 | 1, 1); } else { right(sign << 1 | 1, mid + 1, r, x); } pushup(sign); } void left(int sign, int l, int r, int x) { if (l == r) { fx_1[sign] = fx[sign] = 0; return; } pushdown(sign); int mid = (l + r) >> 1; if (x <= mid) { left(sign << 1, l, mid, x); lazy[sign << 1 | 1]--; shift(sign << 1 | 1, -1); } else { left(sign << 1 | 1, mid + 1, r, x); } pushup(sign); } void add(int x) { if (++cnt[ranks[x]] == 1) right(1, 1, d, ranks[x]); } void del(int x) { if (--cnt[ranks[x]] == 0) left(1, 1, d, ranks[x]); } void init_fib() { fib[d] = 0, fib[d + 1] = 1; for (int i = d + 2; i <= (d << 1); i++) fib[i] = (fib[i - 1] + fib[i - 2]) % mod; for (int i = d - 1; i >= 0; i--) fib[i] = (fib[i + 2] - fib[i + 1] + mod) % mod; } int main() { scanf("%d %d", &n, &mod); int sz = sqrt(n); for (int i = 1; i <= n; i++) { scanf("%d", &a[i]); un[i] = a[i]; pos[i] = i / sz; } sort(un + 1, un + 1 + n); d = unique(un + 1, un + 1 + n) - (un + 1); for (int i = 1; i <= n; i++) ranks[i] = lower_bound(un + 1, un + 1 + d, a[i]) - un; init_fib(); scanf("%d", &q); for (int i = 1; i <= q; i++) { scanf("%d %d", &Q[i].l, &Q[i].r); Q[i].id = i; } sort(Q + 1, Q + 1 + q, cmp); for (int i = 1; i <= q; i++) { while (Q[i].l < L) add(--L); while (Q[i].l > L) del(L++); while (Q[i].r > R) add(++R); while (Q[i].r < R) del(R--); ans[Q[i].id] = fx[1]; } for (int i = 1; i <= q; i++) printf("%d\n", ans[i]); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 30005; int Q, B, bel[N]; struct query { int l, r, id; bool operator<(const query &R) const { if (bel[l] != bel[R.l]) return bel[l] < bel[R.l]; return r < R.r; if (bel[l] & 1) return r < R.r; else return R.r < r; } } q[N]; int n, m, a[N], d[N], D; int cnt[N], res[N]; int fib[N][2]; struct stree { int a0, a1; int s; } t[N << 1]; inline int id(int l, int r) { return l + r | l != r; } void pushup(int p, int l, int mid, int r) { int L = id(l, mid), R = id(mid + 1, r); t[p].s = t[L].s + t[R].s; t[p].a0 = (t[L].a0 + fib[t[L].s][0] * t[R].a0 + fib[t[L].s][1] * t[R].a1) % Q; t[p].a1 = (t[L].a1 + fib[t[L].s + 1][0] * t[R].a0 + fib[t[L].s + 1][1] * t[R].a1) % Q; } void modify(int l, int r, int x, int w) { int p = id(l, r); if (l == r) { t[p].s = w; t[p].a0 = t[p].a1 = w * d[x] % Q; return; } int mid = l + r >> 1; if (x <= mid) modify(l, mid, x, w); else modify(mid + 1, r, x, w); pushup(p, l, mid, r); } void add(int i) { int x = a[i]; if (++cnt[x] == 1) { modify(0, D, x, 1); } } void del(int i) { int x = a[i]; if (--cnt[x] == 0) { modify(0, D, x, 0); } } int main() { scanf("%d%d", &n, &Q); B = sqrt(n); fib[0][0] = 1, fib[1][1] = 1; for (int i = 2; i <= n; ++i) { fib[i][0] = (fib[i - 2][0] + fib[i - 1][0]) % Q; fib[i][1] = (fib[i - 2][1] + fib[i - 1][1]) % Q; } for (int i = 0; i < n; ++i) { scanf("%d", &a[i]); d[D++] = a[i]; bel[i] = i / B; } sort(d, d + D); D = unique(d, d + D) - d; for (int i = 0; i < n; ++i) { a[i] = lower_bound(d, d + D, a[i]) - d; } scanf("%d", &m); for (int i = 0; i < m; ++i) { int x, y; scanf("%d%d", &x, &y); q[i] = (query){--x, --y, i}; } sort(q, q + m); int l = 0, r = -1; for (int i = 0; i < m; ++i) { while (r < q[i].r) { add(++r); } while (l > q[i].l) { add(--l); } while (r > q[i].r) { del(r--); } while (l < q[i].l) { del(l++); } res[q[i].id] = t[id(0, D)].a0 % Q; } for (int i = 0; i < m; ++i) printf("%d\n", res[i]); return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 3e4 + 5; int mod, n, m, a[maxn], b[maxn], c[maxn], used[maxn], block, ans[maxn]; bool vis[maxn]; struct query { int l, r, id; bool operator<(const query &a) const { return l / block != a.l / block ? l / block < a.l / block : r < a.r; } } Q[maxn]; struct segtree { int node[maxn << 2][2][3]; void build(int rt, int l, int r) { memset(node[rt], 0, sizeof(node[rt])); node[rt][0][0] = node[rt][1][1] = 1; if (l == r) return; int mid = (l + r) >> 1; build(rt << 1, l, mid); build(rt << 1 | 1, mid + 1, r); } void update(int rt, int l, int r, int x, int k) { if (l == r) { if (k) { node[rt][0][0] = node[rt][0][1] = node[rt][1][0] = 1; node[rt][1][1] = 0; node[rt][0][2] = node[rt][1][2] = c[x]; } else { memset(node[rt], 0, sizeof(node[rt])); node[rt][0][0] = node[rt][1][1] = 1; } return; } int mid = (l + r) >> 1; x <= mid ? update(rt << 1, l, mid, x, k) : update(rt << 1 | 1, mid + 1, r, x, k); node[rt][0][0] = (node[rt << 1][0][0] * node[rt << 1 | 1][0][0] + node[rt << 1][0][1] * node[rt << 1 | 1][1][0]) % mod; node[rt][0][1] = (node[rt << 1][0][0] * node[rt << 1 | 1][0][1] + node[rt << 1][0][1] * node[rt << 1 | 1][1][1]) % mod; node[rt][0][2] = (node[rt << 1][0][0] * node[rt << 1 | 1][0][2] + node[rt << 1][0][1] * node[rt << 1 | 1][1][2] + node[rt << 1][0][2]) % mod; node[rt][1][0] = (node[rt << 1][1][0] * node[rt << 1 | 1][0][0] + node[rt << 1][1][1] * node[rt << 1 | 1][1][0]) % mod; node[rt][1][1] = (node[rt << 1][1][0] * node[rt << 1 | 1][0][1] + node[rt << 1][1][1] * node[rt << 1 | 1][1][1]) % mod; node[rt][1][2] = (node[rt << 1][1][0] * node[rt << 1 | 1][0][2] + node[rt << 1][1][1] * node[rt << 1 | 1][1][2] + node[rt << 1][1][2]) % mod; } } tree; void add(int x) { if (++used[x] == 1) tree.update(1, 1, m, x, 1); } void del(int x) { if (--used[x] == 0) tree.update(1, 1, m, x, 0); } void work(int x) { if (vis[x]) { vis[x] = false; del(a[x]); } else { vis[x] = true; add(a[x]); } } int main() { while (~scanf("%d%d", &n, &mod)) { block = sqrt(n + 0.5); for (int i = 1; i <= n; ++i) { scanf("%d", a + i); b[i] = a[i]; } sort(b + 1, b + n + 1); m = unique(b + 1, b + n + 1) - b - 1; for (int i = 1; i <= m; ++i) c[i] = b[i] % mod; for (int i = 1; i <= n; ++i) a[i] = lower_bound(b + 1, b + m + 1, a[i]) - b; tree.build(1, 1, m); int q; scanf("%d", &q); for (int i = 0; i < q; ++i) { scanf("%d%d", &Q[i].l, &Q[i].r); Q[i].id = i; } sort(Q, Q + q); memset(vis, 0, sizeof(vis)); memset(used, 0, sizeof(used)); int l = Q[0].l, r = Q[0].r; for (int i = l; i <= r; ++i) work(i); ans[Q[0].id] = tree.node[1][1][2]; for (int i = 1; i < q; ++i) { while (l < Q[i].l) work(l++); while (l > Q[i].l) work(--l); while (r < Q[i].r) work(++r); while (r > Q[i].r) work(r--); ans[Q[i].id] = tree.node[1][1][2]; } for (int i = 0; i < q; ++i) printf("%d\n", ans[i]); } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 30005; int n, m, a[N], b[N], c[N], f[N], q, tot, l, r; int ef(int x) { int l = 1, r = tot; while (l < r) { int mid = (l + r) / 2; if (b[mid] < x) l = mid + 1; else r = mid; } return l; } int main() { scanf("%d%d", &n, &m); for (int i = 1; i <= n; i++) scanf("%d", &a[i]), b[i] = a[i]; sort(b + 1, b + n + 1); tot = 1; for (int i = 2; i <= n; i++) if (b[i] != b[tot]) b[++tot] = b[i]; for (int i = 1; i <= n; i++) a[i] = ef(a[i]); for (int i = 1; i <= tot; i++) b[i] %= m; f[1] = f[2] = 1; for (int i = 3; i <= n; i++) f[i] = (f[i - 1] + f[i - 2]) % m; scanf("%d", &q); while (q--) { scanf("%d%d", &l, &r); long long ans = 0; int cnt = 0; memset(c, 0, sizeof c); for (int i = l; i <= r; i++) c[a[i]] = 1; for (int i = 1; i <= tot; i++) if (c[i]) cnt++, ans += f[cnt] * b[i]; printf("%lld\n", ans % m); } }
#include <bits/stdc++.h> #pragma GCC optimize(3) #pragma GCC optimize("Ofast") #pragma GCC optimize("inline") using namespace std; bool Finish_read; template <class T> inline void read(T &x) { Finish_read = 0; x = 0; int f = 1; char ch = getchar(); while (!isdigit(ch)) { if (ch == '-') f = -1; if (ch == EOF) return; ch = getchar(); } while (isdigit(ch)) x = x * 10 + ch - '0', ch = getchar(); x *= f; Finish_read = 1; } template <class T> inline void print(T x) { if (x / 10 != 0) print(x / 10); putchar(x % 10 + '0'); } template <class T> inline void writeln(T x) { if (x < 0) putchar('-'); x = abs(x); print(x); putchar('\n'); } template <class T> inline void write(T x) { if (x < 0) putchar('-'); x = abs(x); print(x); } const int maxn = 30005; struct node { int x, id; inline bool operator<(const node &rhs) const { return x == rhs.x ? id < rhs.id : x < rhs.x; } } a[maxn]; int n, mod, f[maxn], lst[maxn], q, l[maxn], r[maxn], ans[maxn], cnt[maxn]; int main() { memset(lst, -1, sizeof lst); read(n), read(mod); f[1] = f[2] = 1; for (register int i = 3; i <= n; ++i) f[i] = (f[i - 1] + f[i - 2]) % mod; for (register int i = 1; i <= n; ++i) read(a[i].x), a[i].id = i; sort(a + 1, a + n + 1); read(q); for (register int i = 1; i <= q; ++i) read(l[i]), read(r[i]); for (register int i = 1; i <= n; ++i) { register int tmp = a[i].x % mod; for (register int j = 1; j <= q; ++j) if (l[j] <= a[i].id && a[i].id <= r[j] && a[i].x != lst[j]) { lst[j] = a[i].x, ans[j] += f[++cnt[j]] * tmp % mod; if (ans[j] >= mod) ans[j] -= mod; } } for (register int i = 1; i <= q; ++i) printf("%d\n", ans[i]); }
#include <bits/stdc++.h> using namespace std; const int N = 3e4 + 1; int n, m, q, f[N], a[N]; vector<int> vec; bitset<N> bit; int main() { scanf("%d %d", &n, &m); for (int i = 1; i <= n; i++) { scanf("%d", a + i); vec.push_back(a[i]); } f[1] = f[2] = 1; for (int i = 3; i <= n; i++) { f[i] = (f[i - 1] + f[i - 2]) % m; } sort(vec.begin(), vec.end()); vec.resize(unique(vec.begin(), vec.end()) - vec.begin()); for (int i = 1; i <= n; i++) { a[i] = lower_bound(vec.begin(), vec.end(), a[i]) - vec.begin(); } scanf("%d", &q); while (q--) { int l, r, cn = 1; long long ans = 0; scanf("%d %d", &l, &r); for (int i = l; i <= r; i++) { bit[a[i]] = 1; } for (int i = 0; i < vec.size(); i++) { if (bit[i]) { ans = (ans + vec[i] * 1ll * f[cn++]) % m; } } for (int i = l; i <= r; i++) { bit[a[i]] = 0; } printf("%I64d\n", ans); } }
#include <bits/stdc++.h> using namespace std; int n, m; int first[33333]; pair<int, int> a[33333]; int main() { scanf("%d%d", &n, &m); for (int i = 0; i < n; i++) { scanf("%d", &a[i].first); a[i].second = i; } sort(a, a + n); first[0] = first[1] = 1 % m; for (int i = 2; i <= n; i++) { first[i] = first[i - 1] + first[i - 2]; if (first[i] >= m) { first[i] -= m; } } int l, r, q; scanf("%d", &q); while (q--) { scanf("%d%d", &l, &r); --l, --r; long long sum = 0, color = -1, i = 0; for (int j = 0; j < n; j++) { if (color == a[j].first) continue; if (l <= a[j].second && a[j].second <= r) { color = a[j].first; sum += 1ll * first[i++] * a[j].first; } } printf("%d\n", int(sum % m)); } return 0; }
#include <bits/stdc++.h> #pragma GCC optimize("Ofast") using namespace std; int main() { cin.tie(0); cin.sync_with_stdio(0); int n, mod; cin >> n >> mod; vector<pair<int, int> > v(n); vector<int> val(n); vector<int> idx(n); vector<int> F(n, 1); for (int i = (2); i < int(n); ++i) F[i] = (F[i - 1] + F[i - 2]) % mod; for (int i = (0); i < int(n); ++i) { cin >> v[i].first; v[i].second = i; } sort((v).begin(), (v).end()); long long prev = -1; int k = -1; for (auto &i : v) { if (i.first != prev) val[++k] = (prev = i.first) % mod; idx[i.second] = k; } vector<int> cs(n, -1); vector<int> a(++k); int q; cin >> q; while (q--) { int l, r; cin >> l >> r; int x = k - 1, y = 0; for (int i = (l - 1); i < int(r); ++i) { int &p = idx[i]; cs[p] = q; x -= (p < x) * (x - p); y += (p > y) * (p - y); } int m = 0; for (int i = (x); i < int(y + 1); ++i) if (cs[i] == q) a[m++] = val[i]; long long sum = 0; for (int i = (0); i < int(m); ++i) sum += a[i] * F[i]; cout << sum % mod << "\n"; } exit(0); }
#include <bits/stdc++.h> using namespace std; const int MAXK = 3; const int MAXN = 30005; map<int, int> Mp; int V[MAXN], Cnt, cnt[MAXN]; int N, M, A[MAXN], B[MAXN]; int Q, stq, L, R, Ans[MAXN]; struct Matr { int a[MAXK][MAXK]; } I, It[MAXN]; Matr cheng(Matr A, Matr B) { Matr rt; memset(rt.a, 0, sizeof(rt.a)); for (int i = 1; i <= 2; i++) for (int j = 1; j <= 2; j++) for (int k = 1; k <= 2; k++) rt.a[i][j] = (rt.a[i][j] + A.a[i][k] * B.a[k][j]) % M; return rt; } struct que { int l, r, id; } q[MAXN]; struct Node { int l, r, cnt, siz, sum0, sum1; } s[MAXN * 8]; bool cmp(que A, que B) { return A.l / stq == B.l / stq ? A.r < B.r : A.l < B.l; } void Prepare() { I.a[1][1] = 0; I.a[1][2] = 1; I.a[2][1] = 1; I.a[2][2] = 1; It[0].a[1][1] = 1; It[0].a[1][2] = 0; It[0].a[2][1] = 0; It[0].a[2][2] = 1; for (int i = 1; i <= N + 1; i++) It[i] = cheng(It[i - 1], I); } void Push_Up(int rt) { s[rt].cnt = s[rt * 2].cnt + s[rt * 2 + 1].cnt; s[rt].siz = s[rt * 2].siz + s[rt * 2 + 1].siz; int u = s[rt * 2].cnt; s[rt].sum0 = (s[rt * 2].sum0 + s[rt * 2 + 1].sum0 * It[u].a[1][1] + s[rt * 2 + 1].sum1 * It[u].a[1][2]) % M; s[rt].sum1 = (s[rt * 2].sum1 + s[rt * 2 + 1].sum0 * It[u + 1].a[1][1] + s[rt * 2 + 1].sum1 * It[u + 1].a[1][2]) % M; } void Build(int rt, int l, int r) { s[rt].l = l; s[rt].r = r; s[rt].cnt = s[rt].siz = 0; s[rt].sum0 = s[rt].sum1 = 0; if (l == r) return; int mid = (l + r) / 2; Build(rt * 2, l, mid); Build(rt * 2 + 1, mid + 1, r); } void Insert(int rt, int p, int val) { if (s[rt].r < p || s[rt].l > p) return; if (s[rt].l == s[rt].r) { if (s[rt].siz == 0) { s[rt].cnt++; s[rt].sum0 = V[p] % M; s[rt].sum1 = V[p] % M; } s[rt].siz += val; if (s[rt].siz == 0) { s[rt].cnt--; s[rt].sum0 = 0; s[rt].sum1 = 0; } return; } Insert(rt * 2, p, val); Insert(rt * 2 + 1, p, val); Push_Up(rt); } void Add(int x) { Insert(1, Mp[A[x]], 1); } void Remove(int x) { Insert(1, Mp[A[x]], -1); } int main() { scanf("%d%d", &N, &M); for (int i = 1; i <= N; i++) scanf("%d", &A[i]), B[i] = A[i]; sort(B + 1, B + N + 1); Prepare(); for (int i = 1; i <= N; i++) { if (!Mp[B[i]]) { Mp[B[i]] = ++Cnt; V[Cnt] = B[i]; } } scanf("%d", &Q); stq = sqrt(Q); for (int i = 1; i <= Q; i++) scanf("%d%d", &q[i].l, &q[i].r), q[i].id = i; Build(1, 1, Cnt); sort(q + 1, q + Q + 1, cmp); L = R = 1; Add(1); for (int i = 1; i <= Q; i++) { while (L < q[i].l) Remove(L++); while (L > q[i].l) Add(--L); while (R < q[i].r) Add(++R); while (R > q[i].r) Remove(R--); Ans[q[i].id] = s[1].sum0; } for (int i = 1; i <= Q; i++) printf("%d\n", Ans[i]); return 0; }
#include <bits/stdc++.h> using namespace std; const double eps = 1e-9; const int mod = (int)1e+9 + 7; const double pi = acos(-1.); const int maxn = 30100; pair<long long, int> a[maxn]; long long fib[maxn]; int main() { { srand(time(0)); const string file = ""; if (!file.empty()) { freopen((file + ".in").c_str(), "r", stdin); freopen((file + ".out").c_str(), "w", stdout); } } int n, m; scanf("%d%d", &n, &m); for (int i = 0; i < n; ++i) { scanf("%lld", &a[i].first); a[i].second = i + 1; } sort(&a[0], &a[n]); fib[0] = fib[1] = 1; for (int i = 2; i < n; i++) { fib[i] = fib[i - 1] + fib[i - 2]; fib[i] -= fib[i] >= m ? m : 0; } int q; scanf("%d", &q); for (int i = 0; i < q; ++i) { long long ans = 0; int l, r, lst = -1; scanf("%d%d", &l, &r); for (int j = 0, k = 0; j < n; ++j) { if (a[j].second >= l && a[j].second <= r && a[j].first != lst) { lst = a[j].first; ans += fib[k++] * a[j].first; } } ans %= m; printf("%lld\n", ans); } return (0); }
#include <bits/stdc++.h> using namespace std; const int INF = (int)1e9; const double EPS = (long double)1e-7; long long int fibs[40000], arr[40000], cnt[40000]; struct node { long long int sz; long long int sm0, sm1; node(long long int a = 0, long long int b = 0, long long int c = 0) { sz = a, sm0 = b, sm1 = c; } }; long long int md, n; long long int up(long long int x1, long long int x2, long long int k) { return !k ? x1 : (x1 * fibs[k - 1] + x2 * fibs[k]) % md; } void upd(node& n, node l, node r) { long long int sz = l.sz; n.sm0 = (l.sm0 + up(r.sm0, r.sm1, sz)) % md; n.sm1 = (l.sm1 + up(r.sm0, r.sm1, sz + 1)) % md; n.sz = sz + r.sz; } node t[2 * 40000]; void modify(int p, node x) { for (t[p += n] = x; p >>= 1;) upd(t[p], t[p << 1], t[p << 1 | 1]); } void add(int x) { if (!cnt[x]++) modify(x, node(1, 0, arr[x])); } void rem(int x) { if (!--cnt[x]) modify(x, node(0, 0, 0)); } int main() { int n, q; scanf("%d%I64d", &n, &md); ::n = 1; while (::n < n) ::n *= 2; fibs[0] = 0, fibs[1] = 1; for (int i = (2); i < (int)(35000); ++i) fibs[i] = (fibs[i - 1] + fibs[i - 2]) % md; vector<int> v(n); for (int i = (0); i < (int)(n); ++i) scanf("%d", &v[i]); unordered_map<int, int> mq; vector<int> w = v; sort((w).begin(), (w).end()); for (int i = (0); i < (int)(n); ++i) arr[i] = w[i], mq[w[i]] = i; cin >> q; vector<tuple<int, int, int> > que(q); for (int i = (0); i < (int)(q); ++i) { int l, r; scanf("%d%d", &l, &r); que[i] = tuple<int, int, int>(l - 1, r - 1, i); } long long int s = sqrt(n); sort((que).begin(), (que).end(), [s](tuple<int, int, int>& a, tuple<int, int, int>& b) -> bool { int al, ar, bl, br; tie(al, ar, ignore) = a; tie(bl, br, ignore) = b; if (al / s != bl / s) return al < bl; return (ar < br) ^ ((al / s) & 1); }); vector<int> ans(q); int l = get<1>(que[0]) + 1, r = l - 1; for (tuple<int, int, int> q : que) { int ql, qr, qi; tie(ql, qr, qi) = q; while (r < qr) add(mq[v[++r]]); while (l > ql) add(mq[v[--l]]); while (r > qr) rem(mq[v[r--]]); while (l < ql) rem(mq[v[l++]]); ans[qi] = t[1].sm1; } for (int i = (0); i < (int)(q); ++i) printf("%d\n", ans[i]); return 0; }
#include <bits/stdc++.h> using namespace std; const long long linf = 1e18 + 5; const int logN = 17; const int inf = 1e9; const int N = 3e4 + 50; int sum1[N << 2], sum0[N << 2], L[N << 2]; int sq; int l, r, F[N], s, ans[N], mod, cnt[N], n, m, x, y, z, a[N], wh[N], start[N], finish[N], belong[N], S, t; vector<pair<pair<int, int>, int> > all; map<int, int> H, w; bool cmp(pair<pair<int, int>, int> x, pair<pair<int, int>, int> y) { if (x.first.first / sq == y.first.first / sq) return x.first.second < y.first.second; return x < y; } int get(int x) { if (x >= 0) return F[x]; if ((-x) & 1) return F[-x]; return mod - F[-x]; } void merge(int k) { t = L[k]; l = (k + k), r = (k + k + 1); sum1[k] = (get(t + 1) * sum1[l] + get(t) * sum0[l]) % mod; sum1[k] = (sum1[k] + get(t + 1) * sum1[r] + get(t) * sum0[r]) % mod; sum0[k] = (get(t) * sum1[l] + get(t - 1) * sum0[l]) % mod; sum0[k] = (sum0[k] + get(t) * sum1[r] + get(t - 1) * sum0[r]) % mod; } void assign(int k, int bas, int son, int x, int op) { if (bas == son) { L[k] += op; if (!cnt[bas]) { sum0[k] = sum1[k] = 0; return; } sum1[k] = wh[bas] * get(L[k]) % mod; sum0[k] = wh[bas] * get(L[k] - 1) % mod; return; } if (x <= (bas + son >> 1)) { assign((k + k), bas, (bas + son >> 1), x, op); L[(k + k + 1)] += op; if ((bas + son >> 1) + 1 == son) { if (cnt[son]) { sum1[(k + k + 1)] = wh[son] * get(L[(k + k + 1)]) % mod; sum0[(k + k + 1)] = wh[son] * get(L[(k + k + 1)] - 1) % mod; } } else merge((k + k + 1)); } else assign((k + k + 1), (bas + son >> 1) + 1, son, x, op); merge(k); } int get() { return sum1[1]; } void add(int x) { if (!cnt[x]++) assign(1, 1, s, x, +1); } void del(int x) { if (!--cnt[x]) assign(1, 1, s, x, -1); } int main() { scanf("%d %d", &n, &mod); sq = sqrt(n); F[1] = 1; for (int i = 2; i <= n; i++) F[i] = (F[i - 1] + F[i - 2]) % mod; for (int i = 1; i <= n; i++) { scanf("%d", &a[i]); H[a[i]] = 1; } for (__typeof(H.begin()) it = H.begin(); it != H.end(); it++) { w[it->first] = ++s; wh[s] = it->first; } for (int i = 1; i <= n; i++) a[i] = w[a[i]]; scanf("%d", &m); for (int i = 1; i <= m; i++) { scanf("%d %d", &x, &y); all.push_back(make_pair(make_pair(x, y), i)); } sort(all.begin(), all.end(), cmp); int l = 1, r = 0; for (__typeof(all.begin()) it = all.begin(); it != all.end(); it++) { int x = it->first.first; int y = it->first.second; while (r < y) add(a[++r]); while (l < x) del(a[l++]); while (r > y) del(a[r--]); while (l > x) add(a[--l]); ans[it->second] = get(); } for (int i = 1; i <= m; i++) printf("%d\n", ans[i]); return 0; }
#include <bits/stdc++.h> using namespace std; struct ai { int a, num; bool operator<(const ai &B) const { return a < B.a; } } a[30001]; int n, m, q, top; int num[30001], l[30001], r[30001], la[30001]; int fi[30001]; int ans[30001]; int main() { scanf("%d%d", &n, &m); for (int i = 1; i <= n; i++) { scanf("%d", &a[i].a); a[i].num = i; } sort(a + 1, a + 1 + n); fi[1] = 1; for (int i = 2; i <= n; i++) fi[i] = (fi[i - 1] + fi[i - 2]) % m; scanf("%d", &q); for (int i = 0; i < q; i++) { scanf("%d%d", &l[i], &r[i]); } for (int i = 1; i <= n; i++) { for (int j = 0; j < q; j++) { if (a[i].num < l[j] || a[i].num > r[j] || a[i].a == la[j]) continue; ans[j] = (ans[j] + ((la[j] = a[i].a) % m) * (fi[++num[j]])) % m; } } for (int i = 0; i < q; i++) printf("%d\n", ans[i]); return 0; }
#include <bits/stdc++.h> using namespace std; bool debug = 0; int n, m, k; int dx[4] = {0, 1, 0, -1}, dy[4] = {1, 0, -1, 0}; string direc = "RDLU"; long long ln, lk, lm; void etp(bool f = 0) { puts(f ? "Yes" : "No"); exit(0); } void addmod(int &x, int y, int mod) { x += y; if (x >= mod) x -= mod; } int fib[30005], l[30005], r[30005], la[30005], cnt[30005], ans[30005]; pair<int, int> a[30005]; void fmain() { scanf("%d%d", &n, &m); for (int(i) = 1; (i) <= (int)(n); (i)++) { scanf("%d", &a[i].first); a[i].second = i; } sort(a + 1, a + 1 + n); fib[1] = 1; for (int i = 2; i <= n; i++) fib[i] = (fib[i - 1] + fib[i - 2]) % m; int q; scanf("%d", &q); for (int i = 1; i <= q; i++) { scanf("%d%d", l + i, r + i); } for (int(i) = 1; (i) <= (int)(n); (i)++) { for (int(j) = 1; (j) <= (int)(q); (j)++) { if (a[i].second < l[j] || a[i].second > r[j] || a[i].first == la[j]) continue; la[j] = a[i].first; addmod(ans[j], la[j] % m * fib[++cnt[j]] % m, m); } } for (int(j) = 1; (j) <= (int)(q); (j)++) printf("%d\n", ans[j]); } int main() { fmain(); return 0; }
#include <bits/stdc++.h> using namespace std; inline int read() { int sum = 0, p = 1; char ch = getchar(); while (!(('0' <= ch && ch <= '9') || ch == '-')) ch = getchar(); if (ch == '-') p = -1, ch = getchar(); while ('0' <= ch && ch <= '9') sum = sum * 10 + ch - 48, ch = getchar(); return sum * p; } const int maxn = 3e4 + 20; const int M = 200; int n, mod, a[maxn], l[maxn], r[maxn], pos[maxn], p[maxn], q, s[maxn], tot; inline void init() { n = read(); mod = read(); for (int i = (1), _end_ = (n); i <= _end_; i++) a[i] = read(), s[i] = a[i]; q = read(); for (int i = (1), _end_ = (q); i <= _end_; i++) p[i] = i, l[i] = read(), r[i] = read(), pos[i] = l[i] / M + 1; sort(p + 1, p + q + 1, [](int a, int b) { return l[a] / M == l[b] / M ? pos[a] & 1 ? r[a] < r[b] : r[a] > r[b] : l[a] < l[b]; }); sort(s + 1, s + n + 1); tot = n; tot = unique(s + 1, s + tot + 1) - (s + 1); for (int i = (1), _end_ = (n); i <= _end_; i++) a[i] = lower_bound(s + 1, s + tot + 1, a[i]) - s; } struct matrix { int a[2][2]; inline int* operator[](int index) { return a[index]; } matrix() { memset(a, 0, sizeof(a)); } matrix(int x) { if (x == 1) a[0][0] = a[1][1] = 1, a[0][1] = a[1][0] = 0; if (x == 2) a[0][0] = 0, a[0][1] = a[1][0] = a[1][1] = 1; } }; inline matrix operator*(matrix a, matrix b) { matrix c; for (int i = (0), _end_ = (1); i <= _end_; i++) for (int j = (0), _end_ = (1); j <= _end_; j++) { long long res = 0; for (int k = (0), _end_ = (1); k <= _end_; k++) res += (long long)a[i][k] * b[k][j]; c[i][j] = res % mod; } return c; } inline pair<int, int> operator*(pair<int, int> a, matrix b) { return make_pair( ((long long)a.first * b[0][0] + (long long)a.second * b[1][0]) % mod, ((long long)a.first * b[0][1] + (long long)a.second * b[1][1]) % mod); } inline pair<int, int> operator+(pair<int, int> a, pair<int, int> b) { return make_pair((a.first + b.first) % mod, (a.second + b.second) % mod); } matrix p2[maxn]; struct node { pair<int, int> s; int cs; inline void Merge(node lc, node rc) { s = lc.s + rc.s * p2[lc.cs]; cs = lc.cs + rc.cs; } }; node c[maxn << 2]; int vis[maxn]; void update(int x, int d, int o, int l, int r) { if (l == r) { c[o].cs += d; if (c[o].cs) c[o].s = make_pair(s[x], s[x]); else c[o].s = make_pair(0, 0); return; } int mid = (l + r) >> 1; if (x <= mid) update(x, d, (o << 1), l, mid); else update(x, d, (o << 1 | 1), mid + 1, r); c[o].Merge(c[(o << 1)], c[(o << 1 | 1)]); } inline void work(int x, int d) { if (!vis[x]) update(x, 1, 1, 1, n); vis[x] += d; if (!vis[x]) update(x, -1, 1, 1, n); } int ans[maxn]; inline void doing() { p2[0] = matrix(1); for (int i = (1), _end_ = (n); i <= _end_; i++) p2[i] = p2[i - 1] * matrix(2); int L = 1, R = 0; for (int i = (1), _end_ = (q); i <= _end_; i++) { int u = p[i]; int ql = l[u], qr = r[u]; while (L > ql) work(a[--L], 1); while (R < qr) work(a[++R], 1); while (L < ql) work(a[L++], -1); while (R > qr) work(a[R--], -1); ans[u] = c[1].s.first; } for (int i = (1), _end_ = (q); i <= _end_; i++) printf("%d\n", ans[i]); } int main() { init(); doing(); return 0; }
#include <bits/stdc++.h> using namespace std; int F[30030]; int n; int mod; int a[30030], id[30030]; int nxt[30030]; bool cmp(int i, int j) { return a[i] < a[j]; } int m; int calc(int l, int r) { int s = 0, m = 0; for (int j, i = 1; i <= n; i++) { j = id[i]; if (j >= l && j <= r) { s = (s + F[++m] * a[j]) % mod; i = nxt[i]; } } return s; } int main() { scanf("%d %d", &n, &mod); F[1] = F[2] = 1 % mod; for (int i = 3; i <= n; i++) { F[i] = (F[i - 1] + F[i - 2]) % mod; } for (int i = 1; i <= n; i++) { scanf("%d", a + i); id[i] = i; } sort(id + 1, id + n + 1, cmp); nxt[n] = n; for (int j = n - 1; j >= 1; j--) { if (a[id[j]] == a[id[j + 1]]) { nxt[j] = nxt[j + 1]; } else { nxt[j] = j; } } for (int j = 1; j <= n; j++) { a[j] %= mod; } scanf("%d", &m); for (int l, r, i = 1; i <= m; i++) { scanf("%d %d", &l, &r); printf("%d\n", calc(l, r)); } return 0; }
#include <bits/stdc++.h> const int mod = 1000000007; const int inf = 1000000009; const long long INF = 1000000000000000009; const long long big = 1000000000000000; const long double eps = 0.0000000001; using namespace std; int T[21][100005], C[100005]; long long int DP[(1 << 20)][21]; int main() { ios::sync_with_stdio(false); cin.tie(); cout.tie(); int n, m; cin >> n >> m; for (int i = 0; i < n; i++) for (int j = 1; j <= m; j++) { char c; cin >> c; T[i][j] = c - '0'; } for (int i = 1; i <= m; i++) { for (int j = 0; j < n; j++) { if (T[j][i]) C[i] += (1 << j); } DP[C[i]][0]++; } int wynik = inf; for (int j = 1; j <= n; j++) { for (int i = 0; i < (1 << n); i++) { if (j >= 2) DP[i][j] += (long long int)(j - 2 - n) * DP[i][j - 2]; for (int k = 0; k < n; k++) DP[i][j] += DP[i ^ (1 << k)][j - 1]; DP[i][j] /= j; } } for (int i = 0; i < (1 << n); i++) { int aktual = 0; for (int j = 0; j <= n; j++) aktual += DP[i][j] * min(j, n - j); wynik = min(wynik, aktual); } cout << wynik; return 0; }
#include <bits/stdc++.h> using namespace std; const int M = 998244353, mod = 998244353; const int N = 1 << 20; long long a[N], b[N]; long long inv2 = (M + 1) / 2; int n, i, m, j, s; char c[25][100005]; void fwt(long long *f, int rev) { for (int i = 1; i < (1 << n); i <<= 1) { for (int p = i << 1, j = 0; j < (1 << n); j += p) { for (int k = 0; k < i; k++) { long long x = f[j + k], y = f[i + j + k]; if (rev == 1) { f[j + k] = (x + y) % mod; f[i + j + k] = (x - y + mod) % mod; } else { f[j + k] = 1ll * inv2 * (x + y) % mod; f[i + j + k] = 1ll * inv2 * (x - y + mod) % mod; } } } } } int main() { scanf("%d %d", &n, &m); for (i = 1; i <= n; ++i) scanf("%s", c[i] + 1); for (i = 1; i <= m; ++i) { s = 0; for (j = 1; j <= n; ++j) s |= ((int)(c[j][i] - '0') << j - 1); ++a[s]; } for (i = 0; i < (1 << n); ++i) { int s = __builtin_popcount(i); b[i] = min(s, n - s); } fwt(a, 1); fwt(b, 1); for (i = 0; i < (1 << n); ++i) a[i] = a[i] * b[i] % M; fwt(a, -1); long long ans = 10101010101ll; for (i = 0; i < (1 << n); ++i) ans = min(ans, a[i]); cout << ans; }
#include <bits/stdc++.h> const int N = 2000005; long long a[N], b[N], c[N]; char s[N]; int read() { int x = 0, v = 1; char ch = getchar(); for (; ch < '0' || ch > '9'; v = (ch == '-') ? (-1) : (v), ch = getchar()) ; for (; ch <= '9' && ch >= '0'; x = x * 10 + ch - '0', ch = getchar()) ; return x * v; } void FWT(long long *a, int n, int f) { for (int i = 1; i < n; i <<= 1) { for (int j = 0; j < n; j += (i << 1)) { for (int k = 0; k < i; ++k) { long long u = a[j + k], v = a[j + k + i]; a[j + k] = u + v, a[j + k + i] = u - v; if (f == -1) a[j + k] /= 2, a[j + k + i] /= 2; } } } } int main(void) { int n = read(), m = read(); for (int i = 1; i <= n; ++i) { scanf("%s", s + 1); for (int j = 1; j <= m; ++j) { a[j] |= ((s[j] - '0') << i - 1); } } for (int i = 1; i <= m; ++i) b[a[i]]++; for (int i = 0; i <= (1 << n) - 1; ++i) c[i] = c[i >> 1] + (i & 1); for (int i = 0; i <= (1 << n) - 1; ++i) c[i] = std::min(c[i], n - c[i]); FWT(b, (1 << n), 1); FWT(c, (1 << n), 1); for (int i = 0; i <= (1 << n) - 1; ++i) b[i] *= c[i]; FWT(b, (1 << n), -1); long long ans = 8000000; for (int i = 0; i <= (1 << n) - 1; ++i) ans = std::min(ans, b[i]); printf("%lld\n", ans); return 0; }
#include <bits/stdc++.h> using namespace std; inline long long read() { long long x = 0, f = 1; char ch = getchar(); while (!isdigit(ch)) { if (ch == '-') f = -1; ch = getchar(); }; while (isdigit(ch)) { x = (x << 1) + (x << 3) + ch - 48; ch = getchar(); }; return x * f; } long long n, m, g[21][100201], cot[1400021], dp[1400022], zt[1400201]; inline void FWTxor(long long *a, int id, int lim) { for (int len = 1; len < lim; len <<= 1) { for (int i = 0; i < lim; i += len << 1) { long long *a1 = a + i, *a2 = a1 + len; for (int j = 0; j < len; j++) { long long x = a1[j], y = a2[j]; a1[j] = (x + y) / (id == 1 ? 1 : 2); a2[j] = (x - y) / (id == 1 ? 1 : 2); } } } } inline int getch() { char s = getchar(); while (!isdigit(s)) s = getchar(); return s - '0'; } int main() { n = read(), m = read(); for (int i = 1; i <= n; i++) { for (int j = 1; j <= m; j++) { g[i][j] = getch(); } } for (int i = 1; i <= m; i++) { for (int j = 1; j <= n; j++) { zt[i] |= (1 << j - 1) * g[j][i]; } } for (int i = 0; i <= (1 << n); i++) { cot[i] = cot[i >> 1] + (i & 1); } for (int i = 0; i <= (1 << n); i++) { cot[i] = min(cot[i], n - cot[i]); } for (int i = 1; i <= m; i++) { dp[zt[i]]++; } FWTxor(dp, 1, 1 << n); FWTxor(cot, 1, 1 << n); for (int i = 0; i < (1 << n); i++) dp[i] *= cot[i]; FWTxor(dp, -1, 1 << n); long long x = 999999999; for (int i = 0; i < (1 << n); i++) x = min(dp[i], x); cout << x << endl; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 21, MAX = 1 << MAXN; int dp[MAX][MAXN]; int a[MAX]; int main() { ios_base::sync_with_stdio(false), cin.tie(0), cout.tie(0); int n, m; char a1; cin >> n >> m; for (int i = 0; i < n; ++i) for (int j = 0; j < m; ++j) { cin >> a1; a[j] = (a[j] << 1) + a1 - '0'; } for (int i = 0; i < m; ++i) ++dp[a[i]][0]; int t = 1 << n; for (int d = 1; d <= n; ++d) for (int mask = 0; mask < t; ++mask) { for (int i = 0; i < n; ++i) dp[mask][d] += dp[mask ^ (1 << i)][d - 1]; if (d > 1) dp[mask][d] -= dp[mask][d - 2] * (n - d + 2); dp[mask][d] /= d; } int ans = n * m; for (int mask = 0; mask < t; ++mask) { int res = 0; for (int i = 0; i <= n; ++i) res += min(i, n - i) * dp[mask][i]; ans = min(ans, res); } cout << ans; return 0; }
#include <bits/stdc++.h> using namespace std; const long long LINF = 0x3f3f3f3f3f3f3f3f; const long long NLINF = 0xf7f7f7f7f7f7f7f7; const int INF = 0x3f3f3f3f, NINF = 0xf7f7f7f7; const int MOD1 = 1e9 + 7, MOD2 = 1e9 + 9; const int N = 21, M = 1e5 + 10; int n, m, ans = INF, col[M], dp[N][1 << 20]; char s[N][M]; int main() { scanf("%d%d", &n, &m); for (int i = 1; i <= n; i++) scanf(" %s", s[i] + 1); for (int j = 1; j <= m; j++) for (int i = 1; i <= n; i++) if (s[i][j] == '1') col[j] |= (1 << (i - 1)); for (int i = 1; i <= m; i++) dp[0][col[i]]++; for (int p = 0; p < n; p++) { for (int i = n; i; i--) for (int msk = 0; msk < (1 << n); msk++) dp[i][msk] += dp[i - 1][msk ^ (1 << p)]; } for (int msk = 0; msk < (1 << n); msk++) { int cur = 0; for (int i = 0; i <= n; i++) cur += min(i, n - i) * dp[i][msk]; ans = min(ans, cur); } printf("%d\n", ans); }
#include <bits/stdc++.h> using namespace std; const int maxn = (1 << 20); int N; long long f[maxn + 11], cnt[maxn + 11], ans[maxn + 11]; int a[22][maxn + 11]; char ch[maxn + 11]; void fwt(long long *a, int opt) { for (int mid = 1; mid < N; mid <<= 1) for (int R = mid << 1, j = 0; j < N; j += R) for (int k = 0; k < mid; k++) { long long x = a[j + k], y = a[j + k + mid]; if (opt == 1) a[j + k] = x + y, a[j + k + mid] = x - y; else a[j + k] = (x + y) / 2, a[j + k + mid] = (x - y) / 2; } } int main() { int n, m; scanf("%d %d", &n, &m); for (int i = 1; i <= n; i++) { scanf("%s", ch + 1); for (int j = 1; j <= m; j++) a[i][j] = ch[j] - '0'; } for (int i = 1; i <= m; i++) { int x = 0; for (int j = 1; j <= n; j++) if (a[j][i]) x += (1 << (j - 1)); cnt[x]++; } N = (1 << n); for (int i = 0; i < N; i++) f[i] = min(__builtin_popcount(i), n - __builtin_popcount(i)); fwt(cnt, 1); fwt(f, 1); for (int i = 0; i < N; i++) ans[i] = cnt[i] * f[i]; fwt(ans, -1); long long mx = n * m; for (int i = 0; i < N; i++) mx = min(mx, ans[i]); printf("%lld\n", mx); }
#include <bits/stdc++.h> using namespace std; long long n, m, nn, one[(1 << 20) + 10], a[(1 << 20) + 10], b[(1 << 20) + 10]; string s[(1 << 20) + 10]; void solveinit() { for (long long i = 1; i < nn; i++) { if (i % 2 == 0) one[i] = one[i >> 1]; if (i % 2 == 1) one[i] = one[i >> 1] + 1; } for (long long i = 0; i < nn; i++) { b[i] = min(one[i], n - one[i]); } } void FWT(long long now[(1 << 20) + 10], long long l, long long r) { if (l == r) return; FWT(now, l, ((l + r) >> 1) + 0); FWT(now, ((l + r) >> 1) + 1, r); long long lpo = l, rpo = ((l + r) >> 1) + 1; while (lpo <= ((l + r) >> 1)) { now[lpo] = now[lpo] + now[rpo]; now[rpo] = now[lpo] - now[rpo] - now[rpo]; lpo++, rpo++; } } void IFWT(long long now[(1 << 20) + 10], long long l, long long r) { if (l == r) return; long long lpo = l, rpo = ((l + r) >> 1) + 1; while (lpo <= ((l + r) >> 1)) { now[lpo] = (now[lpo] + now[rpo]) / 2; now[rpo] = now[lpo] - now[rpo]; lpo++, rpo++; } IFWT(now, l, ((l + r) >> 1) + 0); IFWT(now, ((l + r) >> 1) + 1, r); } int32_t main() { cin.tie(0), cout.sync_with_stdio(0); cin >> n >> m; for (long long i = 0; i < n; i++) cin >> s[i]; for (long long i = 0; i < m; i++) { long long val = 0; for (long long j = 0; j < n; j++) val = val * 2 + s[j][i] - '0'; a[val]++; } nn = (1 << n); solveinit(); FWT(a, 0, nn - 1), FWT(b, 0, nn - 1); for (long long i = 0; i < nn; i++) a[i] = a[i] * b[i]; IFWT(a, 0, nn - 1); long long ans = n * m + 10; for (long long i = 0; i < nn; i++) ans = min(ans, a[i]); cout << ans << endl; return 0; }
#include <bits/stdc++.h> const int MAXN = 21; const int MX = 1 << MAXN; const int MAXM = 1e5 + 9; int n, m, mask, status[MAXM]; char s[MAXM]; long long cnt[MX], g[MX]; inline int neg(int x) { return x ^ mask; } void Xor(long long *a, bool opt) { for (int mid = 1; mid < mask; mid <<= 1) for (int i = 0; i < mask; i += mid << 1) for (int j = 0; j < mid; ++j) { long long x = a[j + i] + a[j + i + mid], y = a[j + i] - a[j + i + mid]; a[j + i] = opt ? x : x >> 1, a[j + i + mid] = opt ? y : y >> 1; } } int main() { scanf("%d%d", &n, &m); mask = (1 << n) - 1; for (int i = 1; i <= n; ++i) { scanf("%s", s + 1); for (int j = 1; j <= m; ++j) if (s[j] == '1') status[j] |= 1 << i - 1; } for (int i = 1; i <= m; ++i) ++cnt[status[i]]; for (int i = 0; i <= mask; ++i) g[i] = std::min(__builtin_popcount(i), __builtin_popcount(neg(i))); Xor(cnt, true), Xor(g, true); for (int i = 0; i <= mask; ++i) cnt[i] *= g[i]; Xor(cnt, false); printf("%lld\n", *std::min_element(cnt + 1, cnt + mask + 1)); return 0; }
#include <bits/stdc++.h> using namespace std; template <class T> bool uin(T &a, T b) { return a > b ? (a = b, true) : false; } template <class T> bool uax(T &a, T b) { return a < b ? (a = b, true) : false; } const int maxn = 100001; int a[maxn]; int cnt[20][1 << 10]; int pc[1 << 21]; int main() { ios::sync_with_stdio(false); cin.tie(nullptr); cout.precision(10); cout << fixed; for (int i = 1; i <= (int)(1 << 20); ++i) { pc[i] = pc[i & (i - 1)] + 1; } int n, m; cin >> n >> m; for (int i = 0; i < (int)(n); ++i) { string s; cin >> s; for (int j = 0; j < (int)(m); ++j) a[j] |= (s[j] - '0') << i; } int BUBEN = min(14, n); uax(BUBEN, 0); int res = 1e9; for (int i = 0; i < (int)(1 << BUBEN); ++i) { for (int j = 0; j < (int)(BUBEN + 1); ++j) for (int k = 0; k < (int)(1 << (n - BUBEN)); ++k) cnt[j][k] = 0; for (int j = 0; j < (int)(m); ++j) { ++cnt[pc[(a[j] ^ i) & ((1 << BUBEN) - 1)]][a[j] >> BUBEN]; } for (int j = 0; j < (int)(1 << (n - BUBEN)); ++j) { int ans = 0; for (int k = 0; k < (int)(BUBEN + 1); ++k) for (int l = 0; l < (int)(1 << (n - BUBEN)); ++l) { int z = k + pc[j ^ l]; uin(z, n - z); ans += cnt[k][l] * z; } uin(res, ans); } } cout << res << '\n'; return 0; }
#include <bits/stdc++.h> using namespace std; template <typename T> ostream &operator<<(ostream &os, const vector<T> &v) { os << '{'; string sep; for (const auto &x : v) os << sep << x, sep = ", "; return os << '}'; } template <typename A, typename B> ostream &operator<<(ostream &os, const pair<A, B> &p) { return os << '(' << p.first << ", " << p.second << ')'; } void dbg_out() { cerr << endl; } template <typename Head, typename... Tail> void dbg_out(Head H, Tail... T) { cerr << ' ' << H; dbg_out(T...); } namespace walsh_hadamard { bool is_power_of_two(int n) { return (n & (n - 1)) == 0; } int round_up_power_two(int n) { while (n & (n - 1)) n = (n | (n - 1)) + 1; return max(n, 1); } template <typename T> void fwht_xor(int n, vector<T> &values, bool inverse = false) { assert(is_power_of_two(n)); assert((int)values.size() >= n); for (int len = 1; len < n; len *= 2) for (int start = 0; start < n; start += 2 * len) for (int i = start; i < start + len; i++) { T u = values[i]; const T &v = values[i + len]; values[i] = u + v; values[i + len] = u - v; } if (inverse) { for (int i = 0; i < n; i++) values[i] /= n; } } template <typename T_out, typename T_in> vector<T_out> xor_convolution(const vector<T_in> &_left, const vector<T_in> &_right, bool circular = false) { if (_left.empty() || _right.empty()) return {}; vector<T_out> left(_left.begin(), _left.end()); vector<T_out> right(_right.begin(), _right.end()); int n = left.size(); int m = right.size(); int output_size = circular ? round_up_power_two(max(n, m)) : n + m - 1; int N = round_up_power_two(output_size); left.resize(N, 0); right.resize(N, 0); if (left == right) { fwht_xor(N, left); right = left; } else { fwht_xor(N, left); fwht_xor(N, right); } for (int i = 0; i < N; i++) left[i] *= right[i]; fwht_xor(N, left, true); left.resize(output_size); return left; } } // namespace walsh_hadamard int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int N, M; cin >> N >> M; vector<string> table(N); for (string &row : table) cin >> row; vector<int> cost(1 << N, 0); for (int mask = 0; mask < 1 << N; mask++) { int count = __builtin_popcount(mask); cost[mask] = min(count, N - count); } vector<int> freq(1 << N, 0); for (int col = 0; col < M; col++) { int mask = 0; for (int i = 0; i < N; i++) mask |= (table[i][col] - '0') << i; freq[mask]++; } vector<int64_t> result = walsh_hadamard::xor_convolution<int64_t>(freq, cost, true); cout << *min_element(result.begin(), result.end()) << '\n'; }
#include <bits/stdc++.h> using namespace std; template <typename T1, typename T2> inline void chkmin(T1 &x, T2 y) { if (x > y) x = y; } template <typename T1, typename T2> inline void chkmax(T1 &x, T2 y) { if (x < y) x = y; } inline int readChar(); template <class T = int> inline T readInt(); template <class T> inline void writeInt(T x, char end = 0); inline void writeChar(int x); inline void writeWord(const char *s); static const int buf_size = 4096; inline int getChar() { static char buf[buf_size]; static int len = 0, pos = 0; if (pos == len) { pos = 0, len = fread(buf, 1, buf_size, stdin); } if (pos == len) { return -1; } return buf[pos++]; } inline int readChar() { int c = getChar(); while (c <= 32) { c = getChar(); } return c; } template <class T> inline T readInt() { int s = 1, c = readChar(); T x = 0; if (c == '-') s = -1, c = getChar(); while ('0' <= c && c <= '9') x = x * 10 + c - '0', c = getChar(); return s == 1 ? x : -x; } static int write_pos = 0; static char write_buf[buf_size]; inline void writeChar(int x) { if (write_pos == buf_size) fwrite(write_buf, 1, buf_size, stdout), write_pos = 0; write_buf[write_pos++] = x; } template <class T> inline void writeInt(T x, char end) { if (x < 0) writeChar('-'), x = -x; char s[24]; int n = 0; while (x || !n) s[n++] = '0' + x % 10, x /= 10; while (n--) writeChar(s[n]); if (end) writeChar(end); } inline void writeWord(const char *s) { while (*s) writeChar(*s++); } struct Flusher { ~Flusher() { if (write_pos) fwrite(write_buf, 1, write_pos, stdout), write_pos = 0; } } flusher; using namespace std; const int MAXN = 100011; const int INF = 1000000001; char s[20][MAXN]; int n, m; int dp[21 * MAXN][21]; inline void add(int x) { int now = 0; int cnt = __builtin_popcount(x); for (int i = 0; i < n; i++) { dp[now][cnt]++; if ((x >> i) & 1) { now <<= 1; now += 2; } else { now <<= 1; now++; } } dp[now][cnt]++; } void change(int now, int h, int dist) { if (h != dist) { change((now << 1) + 1, h + 1, dist); change((now << 1) + 2, h + 1, dist); for (int i = 0; i <= n; i++) { dp[now][i] = dp[(now << 1) + 1][i] + dp[(now << 1) + 2][i]; } } else { dp[now][0] = dp[(now << 1) + 2][1]; dp[now][n] = dp[(now << 1) + 1][n - 1]; for (int i = 1; i < n; i++) { dp[now][i] = dp[(now << 1) + 1][i - 1] + dp[(now << 1) + 2][i + 1]; } } } int main() { n = readInt(), m = readInt(); for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { s[i][j] = readChar(); } } for (int i = 0; i < m; i++) { int x = 0; for (int j = 0; j < n; j++) { x <<= 1; x += s[j][i] - '0'; } add(x); } int ans = n * m; for (int i = 0; i < (1 << n); i++) { int sum = 0; for (int j = 0; j <= n; j++) { sum += dp[0][j] * min(j, n - j); } chkmin(ans, sum); if (i + 1 != (1 << n)) { for (int j = 0; j < n; j++) { if (((i >> j) & 1) == 0) { change(0, 0, j); break; } } } } writeInt(ans, '\n'); return 0; }
#include <bits/stdc++.h> using namespace std; int n, m; void FWT(long long *a, int n) { for (int d = 1; d < n; d <<= 1) { for (int m = d << 1, i = 0; i < n; i += m) { for (int j = 0; j < d; ++j) { long long x = a[i + j], y = a[i + j + d]; a[i + j] = x + y; a[i + j + d] = x - y; } } } } void UFWT(long long *a, int n) { for (int d = 1; d < n; d <<= 1) { for (int m = d << 1, i = 0; i < n; i += m) { for (int j = 0; j < d; ++j) { long long x = a[i + j], y = a[i + j + d]; a[i + j] = (x + y) / 2; a[i + j + d] = (x - y) / 2; } } } } void Sovle(long long *a, long long *b, int n) { FWT(a, n); FWT(b, n); for (int i = 0; i < n; ++i) a[i] = a[i] * b[i]; UFWT(a, n); } int a[20][100000]; long long A[1 << 20]; long long B[1 << 20]; int main() { while (~scanf("%d%d", &n, &m)) { for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { scanf("%1d", &a[i][j]); } } memset(A, 0, sizeof(A)); memset(B, 0, sizeof(B)); for (int j = 0; j < m; j++) { int sum = 0; for (int i = 0; i < n; i++) { sum <<= 1; sum |= a[i][j]; } A[sum]++; } for (int i = 0; i < (1 << n); i++) { int cnt = 0; for (int j = 0; j < n; j++) { if (i >> j & 1) cnt++; } B[i] = min(cnt, n - cnt); } Sovle(A, B, 1 << n); long long ret = 20 * 100000; for (int i = 0; i < (1 << n); i++) ret = min(ret, A[i]); printf("%lld\n", ret); } return 0; }
#include <bits/stdc++.h> using namespace std; template <class T> inline bool chkmin(T& x, T y) { return x > y ? x = y, true : false; } template <class T> inline bool chkmax(T& x, T y) { return x < y ? x = y, true : false; } inline long long read(void) { long long x, f = 1; char ch = getchar(); for (; !isdigit(ch); ch = getchar()) if (ch == '-') f = -1; for (x = 0; isdigit(ch); ch = getchar()) x = x * 10 + ch - '0'; return x * f; } int n, m, S; long long a[((1 << 20) + 1)], b[((1 << 20) + 1)], c[((1 << 20) + 1)]; void fwt(long long* a, int len) { if (len == 1) return; int s = len >> 1; fwt(a, s); fwt(a + s, s); for (int i = (0); i <= (s - 1); ++i) { long long x = a[i], y = a[i + s]; a[i] = x + y; a[i + s] = x - y; } } void ifwt(long long* a, int len) { if (len == 1) return; int s = len >> 1; for (int i = (0); i <= (s - 1); ++i) { long long x = a[i], y = a[i + s]; a[i] = x + y >> 1; a[i + s] = x - y >> 1; } ifwt(a, s); ifwt(a + s, s); } int main(void) { n = read(); m = read(); S = 1 << n; for (int i = (0); i <= (S - 1); ++i) a[i] = min(__builtin_popcount(i), n - __builtin_popcount(i)); for (int i = (0); i <= (n - 1); ++i) { static char s[100005]; scanf("%s", s); for (int j = (0); j <= (m - 1); ++j) if (s[j] != '0') c[j] |= 1 << i; } for (int i = (0); i <= (m - 1); ++i) b[c[i]]++; fwt(a, S); fwt(b, S); for (int i = (0); i <= (S - 1); ++i) a[i] *= b[i]; ifwt(a, S); printf("%lld\n", *min_element(a, a + S)); return 0; }
#include <bits/stdc++.h> using namespace std; const long long MAXN = (1 << 20) + 10; const long long INF = 2e9; const long long G = 3; const double PI = acos(-1); long long n, m, ans = INF; long long a[MAXN], b[MAXN], popcount[MAXN]; char mp[21][(long long)1e5 + 10]; template <typename T> inline void read(T &a) { a = 0; char c = getchar(); long long f = 1; while (c < '0' || c > '9') { if (c == '-') f = -1; c = getchar(); } while (c >= '0' && c <= '9') { a = a * 10 + (c ^ 48); c = getchar(); } a *= f; } void FWT(long long *s, long long opt) { for (long long mid = 1; mid < (1 << n); mid <<= 1) for (long long i = 0; i < (1 << n); i += (mid << 1)) for (long long j = 0; j < mid; ++j) { long long x = s[i + j], y = s[i + j + mid]; s[i + j] = x + y; s[i + j + mid] = x - y; if (opt == -1) s[i + j] >>= 1, s[i + j + mid] >>= 1; } } signed main() { read(n); read(m); for (long long i = 1; i <= n; ++i) scanf("%s", mp[i] + 1); for (long long i = 1; i <= m; ++i) { long long state = 0; for (long long j = 1; j <= n; ++j) { state <<= 1; state |= (bool)(mp[j][i] == '1'); } a[state]++; } for (long long i = 0; i <= (1 << n); ++i) popcount[i] = popcount[i >> 1] + (i & 1); for (long long i = 0; i < (1 << n); ++i) b[i] = min(popcount[i], n - popcount[i]); FWT(a, 1); FWT(b, 1); for (long long i = 0; i < (1 << n); ++i) a[i] *= b[i]; FWT(a, -1); for (long long i = 0; i < (1 << n); ++i) ans = min(ans, a[i]); printf("%lld\n", ans); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 100100; int n, m, l, g[21][N]; long long A[1 << 21], B[1 << 21]; char s[N]; void FWT_xor(long long *P, int op) { for (int i = 1; i < l; i <<= 1) for (int j = 0, p = i << 1; j < l; j += p) for (int k = 0; k < i; k++) { long long X = P[j + k], Y = P[j + k + i]; P[j + k] = (X + Y) / op; P[j + k + i] = (X - Y) / op; } } int main() { scanf("%d%d", &n, &m); for (int i = 1; i <= n; i++) { scanf("%s", s + 1); for (int j = 1; j <= m; j++) g[i][j] = s[j] - '0'; } for (int h = 0, j = 1; j <= m; j++) { for (int i = 1; i <= n; i++) if (g[i][j]) h += (1 << (i - 1)); A[h]++; h = 0; } l = 1 << n; for (int i = 0, s = 0; i < l; i++) { for (int j = 1; j <= n; j++) if (i & (1 << (j - 1))) s++; B[i] = min(s, n - s); s = 0; } FWT_xor(A, 1); FWT_xor(B, 1); for (int i = 0; i < l; i++) A[i] *= B[i]; FWT_xor(A, 2); long long ans = 1e13; for (int i = 0; i < l; i++) ans = min(ans, A[i]); printf("%lld\n", ans); return 0; }
#include <bits/stdc++.h> using namespace std; int dp[22][1111111], a[2222222], n, m, ans; char c; int main() { cin >> n >> m; for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) cin >> c, a[j] += (1 << i) * (c - '0'), ans += (c - '0'); for (int i = 0; i < m; i++) dp[0][a[i]]++; for (int i = 0; i < n; i++) for (int j = n; j; j--) for (int mask = 0; mask < (1 << n); mask++) dp[j][mask] += dp[j - 1][mask ^ (1 << i)]; for (int mask = (1 << n) - 1; mask >= 0; mask--) { int cur = 0; for (int i = 0; i <= n; i++) cur += min(i, n - i) * dp[i][mask]; ans = min(ans, cur); } cout << ans; }
#include <bits/stdc++.h> using namespace std; char s[25][200001]; int n, m; long long f[2000001], g[2000001]; void FWT(long long* f) { for (int i = 0; i < (1 << n); i++) { int cnt = 0; for (int j = 0; j < n; j++) if (i & (1 << j)) cnt++; if (cnt & 1) f[i] = -f[i]; } for (int i = 2; i <= (1 << n); i <<= 1) for (int j = 0; j < (1 << n); j += i) for (int k = j; k < j + i / 2; k++) { long long fk = f[k]; f[k] = f[k] - f[k + i / 2]; f[k + i / 2] = fk + f[k + i / 2]; } } void IFWT(long long* f) { FWT(f); for (int i = 0; i < (1 << n); i++) f[i] >>= n; } int main() { scanf("%d%d", &n, &m); for (int i = 1; i <= n; i++) scanf("%s", s[i]); for (int i = 0; i < m; i++) { int x = 0; for (int j = 1; j <= n; j++) if (s[j][i] == '1') x = (x << 1) + 1; else x <<= 1; f[x]++; } for (int i = 0; i < (1 << n); i++) { int cnt = 0; for (int j = 0; j < n; j++) if (i & (1 << j)) cnt++; g[i] = min(cnt, n - cnt); } FWT(f); FWT(g); for (int i = 0; i < (1 << n); i++) f[i] *= g[i]; IFWT(f); int ans = 1e9; for (int i = 0; i < (1 << n); i++) ans = min(ans, (int)f[i]); printf("%d\n", ans); return 0; }
#include <bits/stdc++.h> using namespace std; char str[20][100005]; long long dp[1 << 20]; int tmp[1 << 20]; int main() { int n, m; { scanf("%d %d", &n, &m); for (int i = 0; i < n; i++) scanf(" %s", str[i]); for (int j = 0; j < m; j++) { int val = 0; for (int i = 0; i < n; i++) { if (str[i][j] == '1') { val |= 1 << i; } } dp[val]++; } } for (int i = 0; i < (1 << n); i++) { tmp[i] = __builtin_popcount(i); tmp[i] = min(tmp[i], n - tmp[i]); } for (int b = 1; b < (1 << n); b *= 2) { for (int st = 0; st < (1 << n); st += 2 * b) { for (int i = 0; i < b; i++) { { auto a0 = dp[st + i]; auto a1 = dp[st + i + b]; dp[st + i] = a0 + a1; dp[st + i + b] = a0 - a1; } { auto a0 = tmp[st + i]; auto a1 = tmp[st + i + b]; tmp[st + i] = a0 + a1; tmp[st + i + b] = a0 - a1; } } } } for (int i = 0; i < (1 << n); i++) { dp[i] *= tmp[i]; } for (int b = 1; b < (1 << n); b *= 2) { for (int st = 0; st < (1 << n); st += 2 * b) { for (int i = 0; i < b; i++) { auto a0 = dp[st + i]; auto a1 = dp[st + i + b]; dp[st + i] = (a0 + a1) / 2; dp[st + i + b] = (a0 - a1) / 2; } } } int ans = int(1e9); for (int i = 0; i < (1 << n); i++) { ans = min(ans, (int)dp[i]); } printf("%d\n", ans); }
#include <bits/stdc++.h> using namespace std; const int mod = 1e9 + 7; void fwht(int *p, int n) { for (int len = 1; 2 * len <= n; len <<= 1) { for (int i = 0; i < n; i += 2 * len) { for (int j = 0; j < len; j++) { int a = p[i + j]; int b = p[i + j + len]; p[i + j] = a + b >= mod ? a + b - mod : a + b; p[i + j + len] = a - b < 0 ? a - b + mod : a - b; } } } } int p[1 << 20]; int a[20][100000], n, m; int A[1 << 20], B[1 << 20]; int main() { scanf("%d %d", &n, &m); for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { char c; scanf(" %c", &c); a[i][j] = c - '0'; } } B[1] = 1; for (int i = 2; i < (1 << n); i++) B[i] = B[i >> 1] + (i & 1); for (int i = 0; i < (1 << n); i++) B[i] = min(B[i], n - B[i]); for (int j = 0; j < m; j++) { int x = 0; for (int i = 0; i < n; i++) if (a[i][j]) x |= 1 << i; ++A[x]; } fwht(A, 1 << n); fwht(B, 1 << n); for (int i = 0; i < (1 << n); i++) A[i] = (long long)A[i] * B[i] % mod; fwht(A, 1 << n); int inv = 500000004, pow2 = 1; for (int i = 0; i < n; i++) pow2 = (long long)pow2 * inv % mod; int ans = 1e9; for (int i = 0; i < (1 << n); i++) { A[i] = (long long)A[i] * pow2 % mod; ans = min(ans, A[i]); } printf("%d\n", ans); }
#include <bits/stdc++.h> using namespace std; char s[2000005]; long long n, m, lim, ans = 2e15; long long cnt[2000005], g[2000005]; long long a[2000005], b[2000005]; void FWT(long long *f) { for (long long d = 1; d < lim; d <<= 1) for (long long i = 0; i < lim; i += (d << 1)) for (long long j = 0; j < d; j++) { long long x = f[i + j], y = f[i + j + d]; f[i + j] = x + y; f[i + j + d] = x - y; } } void IFWT(long long *f) { for (long long d = 1; d < lim; d <<= 1) for (long long i = 0; i < lim; i += (d << 1)) for (long long j = 0; j < d; j++) { long long x = f[i + j], y = f[i + j + d]; f[i + j] = x + y >> 1; f[i + j + d] = x - y >> 1; } } signed main() { scanf("%lld%lld", &n, &m); lim = 1 << n; for (long long i = 0; i < n; i++) { scanf("%s", s); for (long long j = 0; j < m; j++) if (s[j] == '1') g[j] |= (1 << i); } for (long long i = 0; i < m; i++) a[g[i]]++; for (long long i = 1; i < lim; i++) cnt[i] = cnt[i >> 1] + (i & 1); for (long long i = 0; i < lim; i++) b[i] = min(cnt[i], n - cnt[i]); FWT(a); FWT(b); for (long long i = 0; i < lim; i++) a[i] *= b[i]; IFWT(a); for (long long i = 0; i < lim; i++) ans = min(ans, a[i]); cout << ans; }
#include <bits/stdc++.h> using namespace std; int const N = 20; int const M = 101000; int f[N + 1][1 << N], s[2][N + 1][1 << N]; char a[N][M]; int main() { int n, m; scanf("%d%d", &n, &m); for (int i = 0; i < (n); ++i) scanf(" %s", a[i]); for (int j = 0; j < (m); ++j) { int t = 0; for (int i = 0; i < (n); ++i) t = t << 1 | (a[i][j] == '1'); f[0][t]++; } for (int i = 0; i < (1 << n); ++i) s[0][0][i] = f[0][i]; for (int k = 1; k <= (n); ++k) for (int i = 0; i < (1 << n); ++i) { int t = 0; int sg = (k - 1) & 1; for (int j = 0; j < (n); ++j) { t += s[sg][k - 1][i ^ (1 << j)]; if (k > 1) t -= s[sg ^ 1][k - 2][i]; } t /= k; f[k][i] = t; for (int j = 0; j < (2); ++j) s[j][k][i] = s[j][k - 1][i]; if (k & 1) s[1][k][i] += t; else s[0][k][i] += t; } int ans = 0x3f3f3f3f; for (int i = 0; i < (1 << n); ++i) { int t = 0; for (int j = 0; j < (n + 1); ++j) t += f[j][i] * min(j, n - j); ans = min(ans, t); } printf("%d\n", ans); return 0; }
#include <bits/stdc++.h> char str[1048576]; long long ar[1048576], counter[1048576], dp[1048576]; void walsh_transform(long long* ar, int n) { if (n == 0) return; int i, m = n / 2; walsh_transform(ar, m); walsh_transform(ar + m, m); for (i = 0; i < m; i++) { long long x = ar[i], y = ar[i + m]; ar[i] = x + y, ar[i + m] = x - y; } } void inverse_walsh_transform(long long* ar, int n) { if (n == 0) return; int i, m = n / 2; inverse_walsh_transform(ar, m); inverse_walsh_transform(ar + m, m); for (i = 0; i < m; i++) { long long x = ar[i], y = ar[i + m]; ar[i] = (x + y) / 2, ar[i + m] = (x - y) / 2; } } int main() { int n, m, i, j, k, x, y, mask; scanf("%d %d", &n, &m); for (i = 0; i < n; i++) { scanf("%s", str); for (j = 0; j < m; j++) { if (str[j] == 49) ar[j] |= (1 << i); } } for (i = 0; i < m; i++) counter[ar[i]]++; for (i = 0; i < (1 << n); i++) { k = __builtin_popcount(i); dp[i] = (k < (n - k) ? k : n - k); } walsh_transform(dp, 1 << n); walsh_transform(counter, 1 << n); for (i = 0; i < (1 << n); i++) ar[i] = counter[i] * dp[i]; inverse_walsh_transform(ar, 1 << n); long long res = 1LL << 50; for (i = 0; i < (1 << n); i++) { if (ar[i] < res) res = ar[i]; } printf("%lld\n", res); return 0; }
#include <bits/stdc++.h> using namespace std; const int MX = 100005; const int LG = (int)log2(MX) + 1; const int BLOCK = 205; const int inf = 1000000069; const long long inf_ll = 8000000000000000069ll; const long double inf_ld = (long double)inf_ll; const long double eps = 1e-9; const long long mod = 1000000007; const int alpha = 30; const int dxh[] = {1, 1, -1, -1, 2, 2, -2, -2}; const int dyh[] = {2, -2, 2, -2, 1, -1, 1, -1}; const int dx[] = {1, -1, 0, 0, 0, 0}; const int dy[] = {0, 0, 1, -1, 0, 0}; const int dz[] = {0, 0, 0, 0, 1, -1}; const int dxd[] = {1, 1, 1, 0, -1, -1, -1, 0}; const int dyd[] = {1, 0, -1, -1, -1, 0, 1, 1}; mt19937 rng(time(NULL)); bool untied = 0; void setIn(string s) { freopen(s.c_str(), "r", stdin); } void setOut(string s) { freopen(s.c_str(), "w", stdout); } void unsyncIO() { cin.tie(0)->sync_with_stdio(0); } void setIO(string s = "") { if (!untied) unsyncIO(), untied = 1; if (s.size()) { setIn(s + ".in"); setOut(s + ".out"); } } void fwt(vector<long long> &a, int n) { for (int len = 2; len <= n; len <<= 1) { for (int i = 0; i < n; i += len) { for (int j = 0; j < len / 2; j++) { long long x = a[i + j], y = a[i + j + len / 2]; a[i + j] = x + y; a[i + j + len / 2] = x - y; } } } } void ifwt(vector<long long> &a, int n) { for (int len = 2; len <= n; len <<= 1) { for (int i = 0; i < n; i += len) { for (int j = 0; j < len / 2; j++) { long long x = a[i + j], y = a[i + j + len / 2]; a[i + j] = (x + y) / 2; a[i + j + len / 2] = (x - y) / 2; } } } } int n, m, mp[25][MX]; string s[25]; int main() { setIO(); cin >> n >> m; for (int i = 0; i < n; i++) { cin >> s[i]; for (int j = 0; j < m; j++) mp[i][j] = (int)(s[i][j] - '0'); } vector<long long> A(1 << n, 0), B(1 << n, 0); for (int j = 0; j < m; j++) { int msk = 0; for (int i = 0; i < n; i++) msk = 2 * msk + mp[i][j]; A[msk]++; } for (int i = 0; i < (1 << n); i++) { int cnt = 0; for (int j = 0; j < n; j++) if (i & (1 << j)) cnt++; B[i] = min(cnt, n - cnt); } fwt(A, 1 << n); fwt(B, 1 << n); for (int i = 0; i < (1 << n); i++) A[i] *= B[i]; ifwt(A, 1 << n); long long ans = inf_ll; for (int i = 0; i < (1 << n); i++) ans = min(ans, A[i]); cout << ans << "\n"; return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 20; const int M = 100100; void FWT(long long *x, int n) { if (n == 1) return; int l = n >> 1; FWT(x, l); FWT(x + l, l); for (int i = 0; i < l; i++) { long long &u = x[i], &v = x[l + i]; long long uu = u, vv = v; u = uu + vv; v = uu - vv; } } void IFWT(long long *x, int n) { if (n == 1) return; int l = n >> 1; for (int i = 0; i < l; i++) { long long &u = x[i], &v = x[l + i]; long long uu = u, vv = v; u = (uu + vv) >> 1; v = (uu - vv) >> 1; } IFWT(x, l); IFWT(x + l, l); } int n, m; char s[N][M] = {'\0'}; long long a[1 << N] = {0}, b[1 << N] = {0}; int pc(int x) { return x ? pc(x & (x - 1)) + 1 : 0; } int main() { scanf("%d%d", &n, &m); for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { char &ch = s[i][j]; do { ch = getchar(); } while (!isdigit(ch)); } } for (int i = 0; i < m; i++) { int c = 0; for (int j = 0; j < n; j++) { c = (c << 1) | (s[j][i] ^ '0'); } a[c]++; } int x = 1 << n; for (int j = 0; j < x; j++) { b[j] = min(pc(j), pc((x - 1) ^ j)); } FWT(a, x); FWT(b, x); for (int i = 0; i < x; i++) { a[i] *= b[i]; } IFWT(a, x); int ans = INT_MAX; for (int i = 0; i < x; i++) { ans = min(ans, (int)a[i]); } printf("%d\n", ans); return 0; }
#include <bits/stdc++.h> const int MN = 1100000 + 5, P = 998244353, inv2 = 499122177; using namespace std; template <typename T> inline T &IN(T &in) { in = 0; char c = getchar(); int f = 1; while (!isdigit(c)) { if (c == '-') f = -1; c = getchar(); } while (isdigit(c)) in = in * 10 + c - '0', c = getchar(); return in *= f; } int n, m, N; long long ans; char s[MN]; long long a[MN], b[MN], c[MN], w[MN]; void fwt(long long *a, int n, int f) { for (int i = 2; i <= n; i <<= 1) for (int j = 0, d = i / 2; j < n; j += i) for (int k = 0; k < d; ++k) { long long x = a[j + k], y = a[j + k + d]; a[j + k] = (x + y) % P, a[j + k + d] = (x - y + P) % P; if (f == -1) a[j + k] = a[j + k] * inv2 % P, a[j + k + d] = a[j + k + d] * inv2 % P; } } void input() { IN(n), IN(m); N = 1 << n; for (int i = 1; i <= n; ++i) { scanf("%s", s + 1); for (int j = 1; j <= m; ++j) c[j] += (s[j] - '0') << i - 1; } for (int i = 1; i <= m; ++i) a[c[i]]++; for (int i = 0; i < N; ++i) b[i] = b[i >> 1] + (i & 1); for (int i = 0; i < N; ++i) b[i] = min(b[i], n - b[i]); fwt(a, N, 1), fwt(b, N, 1); for (int i = 0; i < N; ++i) c[i] = a[i] * b[i] % P; fwt(c, N, -1); ans = LLONG_MAX; for (int i = 0; i < N; ++i) ans = min(ans, c[i]); printf("%lld\n", ans); } int main() { input(); return 0; }
#include <bits/stdc++.h> using namespace std; inline int read() { int x = 0, f = 1; char c; do c = getchar(), f = c == '-' ? -1 : f; while (!isdigit(c)); do x = (x << 3) + (x << 1) + c - '0', c = getchar(); while (isdigit(c)); return x * f; } int n, m, p; long long tmp; long long f[2000050], a[2000050], b[2000050], ans[2000050], g[2000050]; inline void fwt(long long *a, int mode) { for (int i = 2; i <= p + 1; i <<= 1) { int mid = i >> 1; for (int j = 0; j <= p + 1; j += i) { for (int k = j; k < j + mid; k++) { long long x = a[k], y = a[k + mid]; if (mode == 1) a[k] = x + y, a[k + mid] = x - y; else a[k] = (x + y) / 2, a[k + mid] = (x - y) / 2; } } } } char s[2000050]; int main() { n = read(); m = read(); for (int i = 1; i <= n; i++) { scanf("%s", s + 1); for (int j = 1; j <= m; j++) a[j] = (a[j] << 1) + (s[j] == '1'); } p = (1 << n) - 1; for (int i = 1; i <= p; i++) f[i] = f[i >> 1] + (i & 1); for (int i = 1; i <= m; i++) b[a[i]]++; for (int i = 1; i <= p; i++) g[i] = min(f[i], n - f[i]); fwt(g, 1); fwt(b, 1); for (int i = 0; i <= p; i++) ans[i] = g[i] * b[i]; fwt(ans, 0); tmp = 2147483647; for (int i = 0; i <= p; i++) tmp = min(tmp, ans[i]); printf("%lld", tmp); return 0; }
#include <bits/stdc++.h> using namespace std; const int MOD = (int)1e9 + 7; const int INF = (int)1e9; const long long LINF = (long long)1e18; const long double PI = acos((long double)-1); const long double EPS = 1e-9; long long gcd(long long a, long long b) { long long r; while (b) { r = a % b; a = b; b = r; } return a; } long long lcm(long long a, long long b) { return a / gcd(a, b) * b; } long long fpow(long long n, long long k, int p = MOD) { long long r = 1; for (; k; k >>= 1) { if (k & 1) r = r * n % p; n = n * n % p; } return r; } template <class T> inline int chkmin(T& a, const T& val) { return a > val ? a = val, 1 : 0; } template <class T> inline int chkmax(T& a, const T& val) { return a < val ? a = val, 1 : 0; } void addmod(int& a, int val, int p = MOD) { if ((a = (a + val)) >= p) a -= p; } void submod(int& a, int val, int p = MOD) { if ((a = (a - val)) < 0) a += p; } int mult(int a, int b, int p = MOD) { return (long long)a * b % p; } int inv(int a, int p = MOD) { return fpow(a, p - 2, p); } const int maxn = 20; const int maxm = 100010; int n, m; int a[maxn][maxm]; long long f[1 << maxn]; long long g[1 << maxn]; void XORFFT(long long a[], int n, int invert) { for (int i = 1; i < n; i <<= 1) { for (int j = 0; j < n; j += i << 1) { for (int k = 0; k < i; k++) { long long u = a[j + k], v = a[i + j + k]; a[j + k] = u + v; a[i + j + k] = u - v; } } } if (invert) { for (int i = 0; i < n; i++) a[i] /= n; } } void solve() { cin >> n >> m; for (int i = (0); i < (n); i++) { string s; cin >> s; for (int j = (0); j < (m); j++) a[i][j] = s[j] - '0'; } for (int i = (0); i < (1 << n); i++) { f[i] = __builtin_popcountll(i); chkmin(f[i], n - f[i]); } for (int i = (0); i < (m); i++) { int t = 0; for (int j = (0); j < (n); j++) t = (t << 1) + a[j][i]; g[t]++; } XORFFT(f, 1 << n, 0); XORFFT(g, 1 << n, 0); for (int i = (0); i < (1 << n); i++) f[i] *= g[i]; XORFFT(f, 1 << n, 1); int ans = INF; for (int i = (0); i < (1 << n); i++) { chkmin(ans, (int)f[i]); } cout << ans << "\n"; } int main() { ios_base::sync_with_stdio(0); cin.tie(0); solve(); return 0; }
#include <bits/stdc++.h> using namespace std; int n, m, t; char S[25][100005]; long long f[1048576], dp[1048576]; int ans; inline void Read(int &p) { p = 0; char c = getchar(); for (; c < '0' || c > '9'; c = getchar()) ; for (; c >= '0' && c <= '9'; c = getchar()) p = p * 10 + c - '0'; } inline void XorFWT(int n, long long *A) { for (int i = 1; i < n; i <<= 1) { for (int j = 0; j < n; j += (i << 1)) { for (int k = 0; k < i; k++) { long long x = A[j + k] + A[j + k + i]; long long y = A[j + k] - A[j + k + i]; A[j + k] = x, A[j + k + i] = y; } } } } inline void XorIFWT(int n, long long *A) { for (int i = 1; i < n; i <<= 1) { for (int j = 0; j < n; j += (i << 1)) { for (int k = 0; k < i; k++) { long long x = A[j + k] + A[j + k + i]; long long y = A[j + k] - A[j + k + i]; A[j + k] = x / 2; A[j + k + i] = y / 2; } } } } inline void mul(long long *A, long long *B, int w) { for (int i = 0; i < w; i++) A[i] = A[i] * B[i]; } int main() { scanf("%d%d", &n, &m); for (int i = 1; i <= n; i++) scanf("%s", S[i] + 1); for (int i = 1; i <= m; i++) { int v = 0; for (int j = 1; j <= n; j++) v = v * 2 + S[j][i] - '0'; f[v]++; } for (int i = 1; i < (1 << n); i++) dp[i] = dp[i - (i & -i)] + 1; for (int i = 0; i < (1 << n); i++) dp[i] = min(dp[i], n - dp[i]); XorFWT(1 << n, f); XorFWT(1 << n, dp); mul(f, dp, 1 << n); XorIFWT(1 << n, f); ans = n * m; for (int i = 0; i < (1 << n); i++) ans = min(ans, int(f[i])); printf("%d\n", ans); }
#include <bits/stdc++.h> using namespace std; namespace Dango { const int MAXN = 25, MAXM = 100005; string st; int n, m; int num[MAXM]; int dp[MAXN][(1 << 20) + 5]; int ans; int work() { ios::sync_with_stdio(false); cin >> n >> m; for (int i = 1; i <= n; i++) { cin >> st; for (int j = 0; j < st.length(); j++) num[j + 1] = (num[j + 1] << 1) + (st[j] - '0'); } for (int i = 1; i <= m; i++) dp[0][num[i]]++; for (int i = 0; i < n; i++) for (int j = n; j >= 1; j--) for (int k = 0; k < (1 << n); k++) dp[j][k] += dp[j - 1][k ^ (1 << i)]; ans = n * m; for (int i = 0; i < (1 << n); i++) { int res = 0; for (int j = 0; j <= n; j++) res += dp[j][i] * min(j, n - j); ans = min(ans, res); } cout << ans; return 0; } } // namespace Dango int main() { return Dango::work(); }
#include <bits/stdc++.h> using namespace std; const int N = (1 << 21) + 10; long long a[N], b[N], tp[N]; void dft(long long *a, int l, int r, long long *b) { int mid = (l + r) >> 1; if (l == r) return; dft(a, l, mid, b); dft(a, mid + 1, r, b); for (int x = l, y = mid + 1; x <= mid; x++, y++) { b[x] = a[x] + a[y]; b[y] = a[x] - a[y]; } for (int i = l; i <= r; i++) a[i] = b[i]; } int c[N]; int main() { int n, m; scanf("%d%d", &n, &m); for (int i = 1; i <= n; i++) { char ch; int x = 0; for (int j = 1; j <= m; j++) { while (scanf("%c", &ch), ch != '0' && ch != '1') ; c[j] = c[j] * 2 + ch - '0'; } } for (int i = 1; i <= m; i++) a[c[i]]++; swap(n, m); for (int i = 0; i <= (1 << m) - 1; i++) { for (int j = i; j; j ^= j & -j) b[i]++; b[i] = min(b[i], m - b[i]); } dft(a, 0, (1 << m) - 1, tp); dft(b, 0, (1 << m) - 1, tp); for (int i = 0; i <= (1 << m) - 1; i++) a[i] = a[i] * b[i]; dft(a, 0, (1 << m) - 1, tp); long long mi = 1e18; for (int i = 0; i <= (1 << m) - 1; i++) mi = min(mi, a[i]); cout << (mi >> m); }
#include <bits/stdc++.h> using namespace std; const long long N = 21; const long long M = 100005; long long a[1 << N]; long long b[1 << N]; char ss[N][M]; long long n, nn, m; void FWT(long long *a, long long n, long long o) { for (long long u = 2; u <= n; u <<= 1) { long long p = (u >> 1); for (long long i = 0; i < n; i = i + u) for (long long j = i; j < i + p; j++) { long long x = a[j], y = a[j + p]; a[j] = x + y; a[j + p] = x - y; if (o == -1) { a[j] /= 2; a[j + p] /= 2; } } } } int main() { scanf("%lld%lld", &n, &m); nn = (1 << n); for (long long u = 1; u <= n; u++) scanf("%s", ss[u] + 1); for (long long u = 1; u <= m; u++) { long long now = 0; for (long long i = 1; i <= n; i++) now = ((now << 1) + ss[i][u] - '0'); a[now]++; } b[0] = 0; for (long long u = 1; u < nn; u++) b[u] = b[u >> 1] + (u & 1); for (long long u = 0; u < nn; u++) b[u] = min(b[u], n - b[u]); FWT(a, nn, 1); FWT(b, nn, 1); for (long long u = 0; u < nn; u++) a[u] = a[u] * b[u]; FWT(a, nn, -1); long long ans = n * m; for (long long u = 0; u < nn; u++) ans = min(ans, a[u]); printf("%lld\n", ans); return 0; }
#include <bits/stdc++.h> using namespace std; template <class T> T sqr(T x) { return x * x; } const int maxn = 1 << 21; long long a[maxn], b[maxn], col[maxn]; int n, m; char str[200001]; void TransForm(int l, int r, long long a[]) { if (l == r - 1) return; int len = (r - l) >> 1; int m = l + len; TransForm(l, m, a); TransForm(m, r, a); for (int i = l; i < m; i++) { long long a0 = a[i]; long long a1 = a[i + len]; a[i] = a0 - a1; a[i + len] = a0 + a1; } } void uTransForm(int l, int r, long long a[]) { if (l == r - 1) return; int len = (r - l) >> 1; int m = l + len; for (int i = l; i < m; i++) { long long AERGAEWFAWERAw = a[i]; long long ASDFAEWRWERWERW = a[i + len]; a[i] = (AERGAEWFAWERAw + ASDFAEWRWERWERW) / 2; a[i + len] = (ASDFAEWRWERWERW - AERGAEWFAWERAw) / 2; } uTransForm(l, m, a); uTransForm(m, r, a); } void Conv(long long a[], long long b[], int len) { TransForm(0, len, a); TransForm(0, len, b); for (int i = 0; i < len; i++) a[i] = a[i] * b[i]; uTransForm(0, len, a); } int main() { scanf("%d%d", &n, &m); for (int i = 0; i < 1 << n; i++) { b[i] = __builtin_popcount(i); b[i] = min(b[i], n - b[i]); } for (int i = 1; i <= n; i++) { scanf("%s", str); for (int j = 0; j < m; j++) if (str[j] == '1') col[j] |= (1 << (i - 1)); } for (int j = 0; j < m; j++) a[col[j]]++; TransForm(0, 1 << n, a); TransForm(0, 1 << n, b); for (int i = 0; i < 1 << n; i++) a[i] = a[i] * b[i]; uTransForm(0, 1 << n, a); long long ans = a[0]; for (int i = 1; i < 1 << n; i++) ans = min(ans, a[i]); cout << ans << endl; }
#include <bits/stdc++.h> using namespace std; const int mxn = 1048576; int n, m, len; long long a[mxn], b[mxn], ans; char s[21][131072]; void FWT(long long *a, bool flg) { for (int i = 1; i <= len >> 1; i <<= 1) for (int j = 0; j < len; j += i << 1) for (int k = j; k < j + i; ++k) { long long x = a[k], y = a[k + i]; a[k] = x + y, a[k + i] = x - y; if (flg) a[k] /= 2, a[k + i] /= 2; } } int main() { scanf("%d%d", &n, &m), len = 1 << n, ans = n * m; for (int i = 1; i <= n; ++i) scanf("%s", s[i]); for (int i = 0; i < m; ++i) { int num = 0; for (int j = 1; j <= n; ++j) num |= (s[j][i] - 48) << (j - 1); ++a[num]; } for (int i = 0; i < len; ++i) { for (int j = 0; j < n; ++j) b[i] += (i & (1 << j)) != 0; b[i] = min(b[i], n - b[i]); } FWT(a, 0), FWT(b, 0); for (int i = 0; i < len; ++i) a[i] *= b[i]; FWT(a, 1); for (int i = 0; i < len; ++i) ans = min(ans, a[i]); printf("%I64d\n", ans); return 0; }
#include <bits/stdc++.h> using namespace std; char str[20][100005]; long long dp[1 << 20]; int tmp[1 << 20]; int main() { int n, m; { scanf("%d %d", &n, &m); for (int i = 0; i < n; i++) scanf(" %s", str[i]); for (int j = 0; j < m; j++) { int val = 0; for (int i = 0; i < n; i++) { if (str[i][j] == '1') { val |= 1 << i; } } dp[val]++; } } for (int i = 0; i < (1 << n); i++) { tmp[i] = __builtin_popcount(i); tmp[i] = min(tmp[i], n - tmp[i]); } for (int b = 1; b < (1 << n); b *= 2) { for (int st = 0; st < (1 << n); st += 2 * b) { for (int i = 0; i < b; i++) { { auto a0 = dp[st + i]; auto a1 = dp[st + i + b]; dp[st + i] = a0 + a1; dp[st + i + b] = a0 - a1; } { auto a0 = tmp[st + i]; auto a1 = tmp[st + i + b]; tmp[st + i] = a0 + a1; tmp[st + i + b] = a0 - a1; } } } } for (int i = 0; i < (1 << n); i++) { dp[i] *= tmp[i]; } for (int b = 1; b < (1 << n); b *= 2) { for (int st = 0; st < (1 << n); st += 2 * b) { for (int i = 0; i < b; i++) { auto a0 = dp[st + i]; auto a1 = dp[st + i + b]; dp[st + i] = (-a0 - a1) / -2; dp[st + i + b] = (-a0 + a1) / -2; } } } int ans = int(1e9); for (int i = 0; i < (1 << n); i++) { ans = min(ans, (int)dp[i]); } printf("%d\n", ans); }
#include <bits/stdc++.h> #pragma comment(linker, "/STACK:60777216") using namespace std; int n, m; int a[111111]; int a1[111111]; int a2[111111]; int nb[1 << 13]; const int N1 = 13; int c[N1 + 1][1 << (20 - N1)]; int main() { cin >> n >> m; string s; getline(cin, s); for (int i = (0); i < (n); i++) { getline(cin, s); for (int j = (0); j < (m); j++) if (s[j] == '1') a[j] |= 1 << i; } for (int i = (0); i < (1 << 13); i++) nb[i] = nb[i / 2] + i % 2; int n1 = min(n, N1); int fn1 = (1 << n1) - 1; int n2 = n - n1; int t, sum, v; int best = n * m; for (int i = (0); i < (m); i++) a1[i] = a[i] & fn1, a2[i] = a[i] >> n1; for (int m1 = (0); m1 < (1 << n1); m1++) { memset(c, 0, sizeof c); for (int j = (0); j < (m); j++) c[nb[a1[j] ^ m1]][a2[j]]++; for (int m2 = (0); m2 < (1 << n2); m2++) { sum = 0; for (int fnb = (0); fnb < (n1 + 1); fnb++) for (int fm2 = (0); fm2 < (1 << n2); fm2++) if (v = c[fnb][fm2]) { t = fnb + nb[fm2 ^ m2]; sum += v * min(n - t, t); } best = min(best, sum); } } cout << best << endl; return 0; }
#include <bits/stdc++.h> using namespace std; void read(int &digit) { digit = 0; char c; for (c = getchar(); (c < '0' || c > '9') && c != '-'; c = getchar()) ; bool type = false; if (c == '-') type = true, c = getchar(); for (; c >= '0' && c <= '9'; digit = digit * 10 + c - '0', c = getchar()) ; if (type == true) digit = -digit; } int b[100010]; long long f[1048576], g[1048576], c[1048576]; int n, m, all; void cheng(long long *c, long long *a, long long *b, int n) { if (n == 1) { c[0] = a[0] * b[0]; return; } long long A[n], B[n], C[n], D[n]; for (int i = 0; i < n / 2; i++) A[i] = a[i] + a[i + n / 2]; for (int i = 0; i < n / 2; i++) B[i] = b[i] + b[i + n / 2]; cheng(C, A, B, n / 2); for (int i = 0; i < n / 2; i++) A[i] = a[i] - a[i + n / 2]; for (int i = 0; i < n / 2; i++) B[i] = b[i] - b[i + n / 2]; cheng(D, A, B, n / 2); for (int i = 0; i < n / 2; i++) c[i] = (C[i] + D[i]) / 2; for (int i = 0; i < n / 2; i++) c[i + n / 2] = (C[i] - D[i]) / 2; } long long mjy; int main() { read(n); read(m); mjy = n * m; for (int i = n; i >= 1; i--) for (int j = 1; j <= m; j++) { char ch = getchar(); while (ch != '0' && ch != '1') ch = getchar(); if (ch == '1') b[j] += 1 << (i - 1); } all = 1 << n; for (int i = 1; i <= m; i++) f[b[i]]++; for (int i = 0; i < all; i++) { int q = __builtin_popcount(i); g[i] = min(q, n - q); } n = all; cheng(c, f, g, n); for (int i = 0; i < n; i++) mjy = min(mjy, c[i]); cout << mjy << endl; return 0; }
#include <bits/stdc++.h> using namespace std; long long read() { long long x = 0, f = 0; char ch = getchar(); while (!isdigit(ch)) f = ch == '-', ch = getchar(); while (isdigit(ch)) x = (x << 1) + (x << 3) + (ch ^ 48), ch = getchar(); return f ? -x : x; } const int N = 1 << 20; int k, n; int a[N]; long long c[N]; long long d[N][21]; int main() { k = read(), n = read(); for (int i = (0); i <= (k - 1); i++) for (int j = (1); j <= (n); j++) { int x; scanf("%1d", &x); a[j] |= x << i; } for (int i = (1); i <= (n); i++) c[a[i]]++; int m = (1 << k) - 1; for (int i = (0); i <= (m); i++) d[i][__builtin_popcount(i)] = 1; for (int i = (0); i <= (k - 1); i++) for (int j = (0); j <= (m); j++) if (~j >> i & 1) { { long long x = c[j], y = c[j | 1 << i]; c[j] = x + y, c[j | 1 << i] = x - y; } { for (int t = (0); t <= (k); t++) { long long x = d[j][t], y = d[j | 1 << i][t]; d[j][t] = x + y, d[j | 1 << i][t] = x - y; } } } for (int i = (0); i <= (m); i++) for (int j = (0); j <= (k); j++) d[i][j] *= c[i]; for (int i = (0); i <= (k - 1); i++) for (int j = (0); j <= (m); j++) if (~j >> i & 1) { for (int t = (0); t <= (k); t++) { long long x = d[j][t], y = d[j | 1 << i][t]; d[j][t] = (x + y) / 2, d[j | 1 << i][t] = (x - y) / 2; } } int ans = 1e9; for (int i = (0); i <= (m); i++) { int now = 0; long long sum = 0; for (int j = (0); j <= (k); j++) { sum += d[i][j]; now += min(j, k - j) * d[i][j]; } ans = min(ans, now); } cout << ans << endl; return 0; }
#include <bits/stdc++.h> struct FastWalshHadamardTransform { void dwt(long long* a, int n) { for (int d = 1; d < n; d <<= 1) { for (int m = d << 1, i = 0; i < n; i += m) { for (int j = 0; j < d; ++j) { long long x = a[i + j], y = a[i + j + d]; a[i + j] = x + y, a[i + j + d] = x - y; } } } } void idwt(long long* a, int n) { for (int d = 1; d < n; d <<= 1) { for (int m = d << 1, i = 0; i < n; i += m) { for (int j = 0; j < d; ++j) { long long x = a[i + j], y = a[i + j + d]; a[i + j] = (x + y) >> 1, a[i + j + d] = (x - y) >> 1; } } } } void main(long long* a, long long* b, long long* res, int n) { dwt(a, n); dwt(b, n); for (int i = 0; i < n; ++i) res[i] = a[i] * b[i]; idwt(res, n); } } fwt; const int L = 1 << 22; char mat[22][100010]; long long a[L], b[L], c[L]; int main() { int n, m; scanf("%d%d", &n, &m); for (int i = 0; i < n; ++i) scanf("%s", mat[i]); for (int i = 0; i < m; ++i) { int state(0); for (int j = 0; j < n; ++j) state |= (mat[j][i] == '1') << j; ++a[state]; } for (int i = 0, lim = 1 << n; i < lim; ++i) { b[i] = std ::min(__builtin_popcount(i), n - __builtin_popcount(i)); } fwt.main(a, b, c, 1 << n); std ::cout << *std ::min_element(c, c + (1 << n)) << std ::endl; return 0; }
#include <bits/stdc++.h> using namespace std; int a[1 << 22], b[1 << 22]; const int mod = 998244353; long long qpow(long long a, long long b) { long long res = 1; while (b) { if (b & 1) { res = res * a % mod; } b >>= 1; a = a * a % mod; } return res; } struct FWT { int mod = 998244353; int rev = qpow(2, mod - 2); int add(int a, int b) { if (a + b >= mod) return a + b - mod; if (a + b < 0) return a + b + mod; return a + b; } int mul(int a, int b) { return (long long)a * b % mod; } void fwt(int a[], int n, int op) { for (int d = 1; d < n; d <<= 1) { for (int m = d << 1, i = 0; i < n; i += m) { for (int j = 0; j < d; j++) { int x = a[i + j], y = a[i + j + d]; if (op == 0) a[i + j] = add(x, y), a[i + j + d] = add(x, -y); else a[i + j] = mul(add(x, y), rev), a[i + j + d] = mul(add(x, -y), rev); } } } } void solve(int a[], int b[], int n) { fwt(a, n, 0); fwt(b, n, 0); for (int i = (0); i < (n); i++) a[i] = mul(a[i], b[i]); fwt(a, n, 1); } } Fwt; char maze[25][100000 + 10]; int get(int x, int n) { int cnt = 0; while (x) { if (x % 2 == 1) cnt++; x /= 2; } return min(cnt, n - cnt); } int main() { ios::sync_with_stdio(false); cin.tie(0); cout.tie(0); int n, m; cin >> n >> m; for (int i = (0); i < (n); i++) { for (int j = (0); j < (m); j++) cin >> maze[i][j]; } for (int i = (0); i < (m); i++) { int sta = 0; for (int j = (0); j < (n); j++) if (maze[j][i] == '1') sta |= (1 << j); a[sta]++; } for (int i = (0); i < (1 << n); i++) { b[i] = get(i, n); } Fwt.solve(a, b, 1 << n); int ans = 1e9; for (int i = (0); i < (1 << n); i++) { ans = min(ans, a[i]); } cout << ans << "\n"; return 0; }
#include <bits/stdc++.h> clock_t __t = clock(); namespace my_std { using namespace std; mt19937 rng(chrono::steady_clock::now().time_since_epoch().count()); template <typename T> inline T rnd(T l, T r) { return uniform_int_distribution<T>(l, r)(rng); } template <typename T> inline bool chkmax(T &x, T y) { return x < y ? x = y, 1 : 0; } template <typename T> inline bool chkmin(T &x, T y) { return x > y ? x = y, 1 : 0; } template <typename T> inline void read(T &t) { t = 0; char f = 0, ch = getchar(); double d = 0.1; while (ch > '9' || ch < '0') f |= (ch == '-'), ch = getchar(); while (ch <= '9' && ch >= '0') t = t * 10 + ch - 48, ch = getchar(); if (ch == '.') { ch = getchar(); while (ch <= '9' && ch >= '0') t += d * (ch ^ 48), d *= 0.1, ch = getchar(); } t = (f ? -t : t); } template <typename T, typename... Args> inline void read(T &t, Args &...args) { read(t); read(args...); } char __sr[1 << 21], __z[20]; int __C = -1, __zz = 0; inline void Ot() { fwrite(__sr, 1, __C + 1, stdout), __C = -1; } inline void print(int x) { if (__C > 1 << 20) Ot(); if (x < 0) __sr[++__C] = '-', x = -x; while (__z[++__zz] = x % 10 + 48, x /= 10) ; while (__sr[++__C] = __z[__zz], --__zz) ; __sr[++__C] = '\n'; } void file() {} inline void chktime() {} long long ksm(long long x, int y) { long long ret = 1; for (; y; y >>= 1, x = x * x) if (y & 1) ret = ret * x; return ret; } } // namespace my_std using namespace my_std; int n, m; char a[20][1100000]; long long c[1100000], w[1100000]; void FWT(long long *a) { long long x, y; for (int i = (0); i <= (n - 1); i++) for (int j = (0); j <= ((1 << n) - 1); j++) if (j >> i & 1) x = a[1 << i ^ j], y = a[j], a[1 << i ^ j] = x + y, a[j] = x - y; } void iFWT(long long *a) { long long x, y; for (int i = (0); i <= (n - 1); i++) for (int j = (0); j <= ((1 << n) - 1); j++) if (j >> i & 1) x = a[1 << i ^ j], y = a[j], a[1 << i ^ j] = x + y, a[j] = x - y; for (int j = (0); j <= ((1 << n) - 1); j++) a[j] >>= n; } int main() { file(); read(n, m); for (int i = (0); i <= (n - 1); i++) cin >> (a[i] + 1); for (int j = (1); j <= (m); j++) { int x = 0; for (int i = (0); i <= (n - 1); i++) x += int(a[i][j] - '0') << i; ++c[x]; } for (int i = (0); i <= ((1 << n) - 1); i++) w[i] = min(__builtin_popcount(i), n - __builtin_popcount(i)); FWT(c), FWT(w); for (int i = (0); i <= ((1 << n) - 1); i++) w[i] = w[i] * c[i]; iFWT(w); long long ans = n * m; for (int i = (0); i <= ((1 << n) - 1); i++) chkmin(ans, w[i]); cout << ans; return 0; }