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#include <bits/stdc++.h> using namespace std; struct node { int x1, x2; } s[100], b[100]; int main() { int n, m, nums[101000], numb[101000], i, p, q, cnt1, cnt2; char c; while (scanf("%d %d", &n, &m) != EOF) { memset(nums, 0, sizeof(nums)); memset(numb, 0, sizeof(numb)); for (i = 0; i < n; i++) { getchar(); scanf("%c ", &c); if (c == 'S') { scanf("%d %d", &p, &q); nums[p] += q; } else if (c == 'B') { scanf("%d %d", &p, &q); numb[p] += q; } } cnt1 = 0; for (i = 0; i < 100100; i++) { if (cnt1 == m) break; if (nums[i] != 0) { s[cnt1].x1 = i; s[cnt1].x2 = nums[i]; cnt1++; } } cnt2 = 0; for (i = 100100; i >= 0; i--) { if (cnt2 == m) break; if (numb[i] != 0) { b[cnt2].x1 = i; b[cnt2].x2 = numb[i]; cnt2++; } } for (i = cnt1 - 1; i >= 0; i--) printf("S %d %d\n", s[i].x1, s[i].x2); for (i = 0; i < cnt2; i++) printf("B %d %d\n", b[i].x1, b[i].x2); } return 0; }
#include <bits/stdc++.h> using namespace std; typedef struct elem { int pret; int volum; }; int min(int a, int b) { if (a < b) { return a; } return b; } elem ans_sell[100001], ans_buy[100001]; int cnt_sell, cnt_buy; int compareBUY(const void *a, const void *b) { elem *aa = (elem *)a; elem *bb = (elem *)b; return bb->pret - aa->pret; } int compareSELL(const void *a, const void *b) { elem *aa = (elem *)a; elem *bb = (elem *)b; return aa->pret - bb->pret; } int main() { int n, s, i, p, q, buy[100001], sell[100001]; char c; for (i = 0; i <= 100000; i++) { buy[i] = sell[i] = -1; } cin >> n >> s; for (i = 0; i < n; i++) { cin >> c >> p >> q; if (c == 'B') { int pos = buy[p]; if (pos == -1) { pos = cnt_buy; ans_buy[pos].pret = p; buy[p] = pos; cnt_buy++; } ans_buy[pos].volum = ans_buy[pos].volum + q; } else { int pos = sell[p]; if (pos == -1) { pos = cnt_sell; ans_sell[pos].pret = p; sell[p] = pos; cnt_sell++; } ans_sell[pos].volum = ans_sell[pos].volum + q; } } qsort(ans_sell, cnt_sell, sizeof(elem), compareSELL); qsort(ans_buy, cnt_buy, sizeof(elem), compareBUY); for (i = min(s - 1, cnt_sell - 1); i >= 0; i--) { cout << "S " << ans_sell[i].pret << " " << ans_sell[i].volum << endl; } for (i = 0; i < min(s, cnt_buy); i++) { cout << "B " << ans_buy[i].pret << " " << ans_buy[i].volum << endl; } }
#include <bits/stdc++.h> #pragma comment(linker, "/STACK:100000000000,100000000000") const int INF = 1e9; const double cp = 2 * asin(1.0); const double eps = 1e-9; const long long mod = 1000000000; using namespace std; int main() { cin.tie(0); ios_base::sync_with_stdio(false); int n, s; cin >> n >> s; map<pair<char, long long>, long long> a; set<pair<char, long long> > f; for (int(i) = 0; (i) < (n); i++) { char x; long long q, d; cin >> x >> q >> d; f.insert(make_pair(x, q)); a[make_pair(x, q)] += d; } vector<pair<long long, pair<char, long long> > > resa, resb; for (set<pair<char, long long> >::iterator i = f.begin(); i != f.end(); i++) { pair<char, long long> q = *i; if (q.first == 'S') resa.push_back(make_pair(q.second, make_pair(q.first, a[q]))); else resb.push_back(make_pair(q.second, make_pair(q.first, a[q]))); } sort((resa).begin(), (resa).end()); int i = 0, r = min(s - 1, (int)resa.size() - 1); while (r >= 0) cout << resa[r].second.first << ' ' << resa[r].first << ' ' << resa[r].second.second << endl, r--; i = 0; sort((resb).begin(), (resb).end()); reverse((resb).begin(), (resb).end()); while (i < s && i < resb.size()) cout << resb[i].second.first << ' ' << resb[i].first << ' ' << resb[i].second.second << endl, i++; return 0; }
#include <bits/stdc++.h> using namespace std; const long double EPS = 1e-6; const int INF = (int)(INT_MAX - 100); const long long mod = (int)(1e+9 + 7); const int N = (int)(1e5); int main() { int n, s; cin >> n >> s; char d; int p, k; map<int, int, greater<int> > C; map<int, int> V; for (int i = 0; i < n; i++) { cin >> d >> p >> k; if (d == 'B') C[p] += k; else V[p] += k; } k = 0; vector<pair<int, int> > ans; for (pair<int, int> x : V) { if (k == s) break; k++; ans.push_back({x.first, x.second}); } reverse(ans.begin(), ans.end()); for (pair<int, int> x : ans) cout << "S " << x.first << " " << x.second << '\n'; k = 0; for (pair<int, int> x : C) { if (k == s) break; k++; cout << "B " << x.first << " " << x.second << '\n'; } return 0; }
#include <bits/stdc++.h> using namespace std; int n, s; string d; int p, q; using pii = pair<int, int>; map<int, int> sell, buy; vector<pii> res; int main() { int i, j, k; while (cin >> n >> s) { sell.clear(); buy.clear(); for (i = 0; i < n; i++) { cin >> d >> p >> q; if (d == "S") sell[p] += q; else buy[-p] += q; } int len1, len2; len1 = len2 = 0; res.clear(); auto st = sell.begin(); for (i = 0; i < s && st != sell.end(); ++i, ++st) res.push_back(make_pair(st->first, st->second)); len1 = i; for (i = len1 - 1; i >= 0; i--) cout << "S " << res[i].first << " " << res[i].second << endl; res.clear(); st = buy.begin(); for (i = 0; i < s && st != buy.end(); ++i, ++st) res.push_back(make_pair(-(st->first), st->second)); len2 = i; for (i = 0; i < len2; ++i) cout << "B " << res[i].first << " " << res[i].second << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 22; int n, m, q, last, vi[N][N]; int dx[5] = {0, -1, 1, 0, 0}; int dy[5] = {0, 0, 0, -1, 1}; inline void add(int &a, int b) { a = ((a + b >= 1000000007) ? a + b - 1000000007 : a + b); } inline void del(int &a, int b) { a = ((a - b < 0) ? a - b + 1000000007 : a - b); } inline void mul(int &a, int b) { a = 1ll * a * b % 1000000007; } inline int id(int x, int y) { return (x - 1) * m + y; } inline int read() { int f = 1, x = 0; char s = getchar(); while (s < '0' || s > '9') { if (s == '-') f = -1; s = getchar(); } while (s >= '0' && s <= '9') { x = x * 10 + s - '0'; s = getchar(); } return x * f; } struct matrix { int n, a[N][N]; inline void clear() { memset(a, 0, sizeof(a)); } inline void init() { for (int i = 1; i <= n; i++) a[i][i] = 1; } inline void print() { for (int i = 1; i <= n; i++) { for (int j = 1; j <= n; j++) printf("%d ", a[i][j]); printf("\n"); } } } f; matrix tr; matrix operator*(matrix a, matrix b) { matrix ans; ans.n = a.n; ans.clear(); for (int i = 1; i <= a.n; i++) { for (int k = 1; k <= a.n; k++) { for (int j = 1; j <= a.n; j++) add(ans.a[i][j], 1ll * a.a[i][k] * b.a[k][j] % 1000000007); } } return ans; } matrix m_pow(matrix a, int b) { matrix ans; ans.n = a.n; ans.clear(); ans.init(); while (b) { if (b & 1) ans = ans * a; b >>= 1; a = a * a; } return ans; } inline void get() { tr.clear(); for (int i = 1; i <= n; i++) { for (int j = 1; j <= m; j++) { if (vi[i][j]) continue; tr.a[id(i, j)][id(i, j)] = 1; for (int k = 1; k <= 4; k++) { int x = i + dx[k], y = j + dy[k]; if (x <= 0 || y <= 0 || x > n || y > m || vi[x][y]) continue; tr.a[id(i, j)][id(x, y)] = 1; } } } } signed main() { n = read(); m = read(); q = read(); last = 1; f.n = tr.n = n * m; f.a[1][1] = 1; get(); while (q--) { int op = read(), x = read(), y = read(), t = read(); f = f * m_pow(tr, t - last); last = t; if (op == 2) vi[x][y] = 1; if (op == 3) vi[x][y] = 0; if (op == 1) printf("%d\n", f.a[1][id(x, y)]); get(); } }
#include <bits/stdc++.h> using namespace std; const int T = 30; bool isBan[20]; int adj[T][20][20]; int dx[4] = {0, 0, 1, -1}, dy[4] = {1, -1, 0, 0}; void constructAdj(int n, int m) { int id = 0, i, j, k, ni, nj; int g = n * m; for (i = 0; i < g; ++i) { for (j = 0; j < g; ++j) { adj[0][i][j] = 0; } } for (i = 0; i < n; ++i) { for (j = 0; j < m; ++j) { if (isBan[i * m + j]) { continue; } id = i * m + j; adj[0][id][id] = 1; for (k = 0; k < 4; ++k) { ni = i + dx[k], nj = j + dy[k]; if (ni >= 0 && ni < n && nj >= 0 && nj < m) { if (!isBan[ni * m + nj]) { adj[0][ni * m + nj][id] = 1; } } } } } } const int mod = 1e9 + 7; int add(int x, int y) { return ((x + y) % mod + mod) % mod; } int mul(int x, int y) { return (long long)x * y % mod; } void mul(int r[20][20], int x[20][20], int y[20][20], int tot) { int i, j, k; for (i = 0; i < tot; ++i) { for (j = 0; j < tot; ++j) { r[i][j] = 0; } } for (i = 0; i < tot; ++i) { for (j = 0; j < tot; ++j) { for (k = 0; k < tot; ++k) { r[i][j] = add(r[i][j], mul(x[i][k], y[k][j])); } } } } int num[2][20]; void getNew(int bit, int ad[20][20], int tot) { int nbit = bit ^ 1; memset(num[nbit], 0, sizeof(num[nbit])); for (int i = 0; i < tot; ++i) { for (int j = 0; j < tot; ++j) { num[nbit][j] = add(num[nbit][j], mul(num[bit][i], ad[i][j])); } } } void solve() { int n, m, q; scanf("%d %d %d ", &n, &m, &q); int curTime = 1; num[0][0] = 1; constructAdj(n, m); int bit = 0; for (int i = 0; i < q; ++i) { int type, x, y, t; scanf(" %d %d %d %d ", &type, &x, &y, &t); --x, --y; int id = x * m + y; int dt = t - curTime; for (int ind = 1, t = 2; t <= dt; ++ind, t *= 2) { memset(adj[ind], 0, sizeof(adj[ind])); mul(adj[ind], adj[ind - 1], adj[ind - 1], n * m); } for (int ind = 0; ind < 30; ++ind) { if (dt & (1 << ind)) { getNew(bit, adj[ind], n * m); bit ^= 1; } } curTime = t; if (type == 1) { printf("%d\n", num[bit][id]); } else if (type == 2) { isBan[id] = 1; constructAdj(n, m); num[bit][id] = 0; } else { assert(type == 3); isBan[id] = 0; constructAdj(n, m); } } } int main() { solve(); return 0; }
#include <bits/stdc++.h> using namespace std; void prepare() { freopen("input.txt", "r", stdin); freopen("output.txt", "w", stdout); } long long mod = 1e9 + 7; vector<vector<long long> > a; long long binmno(long long a, long long b) { long long ans = 0; while (a) { if (a & 1) { ans = (ans + b % mod) % mod; a--; } else { b = (b + b) % mod; a /= 2; } } return ans % mod; } vector<vector<long long> > operator*(vector<vector<long long> > a, vector<vector<long long> > b) { vector<vector<long long> > ans((long long)a.size(), vector<long long>(a.size(), 0)); for (long long i = 0; i < a.size(); i++) { for (long long j = 0; j < a.size(); j++) { for (long long q = 0; q < a.size(); q++) { ans[i][j] += binmno(a[i][q], b[q][j]); ans[i][j] %= mod; } } } return ans; } vector<vector<long long> > binpow(long long k) { vector<vector<long long> > ans(a.size(), vector<long long>(a.size(), 0)); for (int i = 0; i < a.size(); i++) ans[i][i] = 1; while (k) { if (k % 2 == 0) { k /= 2; a = a * a; } else { k--; ans = a * ans; } } return ans; } vector<long long> operator*(vector<vector<long long> > a, vector<long long> b) { vector<long long> ans(b.size()); for (int i = 0; i < b.size(); i++) { for (int j = 0; j < b.size(); j++) { ans[i] += binmno(a[i][j], b[j]); ans[i] %= mod; } } return ans; } int main() { ios_base::sync_with_stdio(0); cin.tie(); long long n, m, q; cin >> n >> m >> q; a.assign(n * m, vector<long long>(n * m)); for (int i = 0; i < m; i++) { for (int j = 0; j < n; j++) { a[i * n + j][i * n + j] = 1; if (j != 0) { a[i * n + j][i * n + j - 1] = 1; } if (j != n - 1) { a[i * n + j][i * n + j + 1] = 1; } if (i != 0) { a[(i - 1) * n + j][i * n + j] = 1; } if (i != m - 1) { a[(i + 1) * n + j][i * n + j] = 1; } } } vector<vector<long long> > lasta = a; vector<vector<long long> > a1 = a; vector<long long> pl(n * m, 0); pl[0] = 1; int lastt = 1; for (int i = 0; i < q; i++) { int t1, x, y, t; cin >> t1 >> x >> y >> t; a = a1; x--; y--; a = binpow(t - lastt); lastt = t; pl = a * pl; int place = y * n + x; if (t1 == 1) { cout << pl[place] << endl; continue; } if (t1 == 2) { pl[place] = 0; for (int i = 0; i < n * m; i++) { a1[place][i] = 0; } } if (t1 == 3) { for (int i = 0; i < n * m; i++) { a1[place][i] = lasta[place][i]; } } } return 0; }
#include <bits/stdc++.h> using namespace std; const int d[5][2] = {{0, 0}, {0, 1}, {1, 0}, {0, -1}, {-1, 0}}; const int Mod = 1000000007; struct Matrix { int a[20][20]; Matrix() { memset(a, 0, sizeof(a)); } void init() { for (int i = 0; i < 20; i++) a[i][i] = 1; } Matrix operator*(const Matrix &B) const { Matrix C; for (int i = 0; i < 20; i++) for (int j = 0; j < 20; j++) for (int k = 0; k < 20; k++) C.a[i][j] = (C.a[i][j] + 1LL * a[i][k] * B.a[k][j]) % Mod; return C; } Matrix operator^(const int &t) const { int p = t; Matrix A = (*this), res; res.init(); while (p) { if (p & 1) res = res * A; A = A * A; p >>= 1; } return res; } }; int get(int x, int y, int n, int m) { return (x - 1) * m + (y - 1); } int cat[20][20]; int main() { int n, m, q, la = 1; scanf("%d%d%d", &n, &m, &q); Matrix res, now; for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++) for (int k = 0; k < 5; k++) { int ti = i + d[k][0]; int tj = j + d[k][1]; if (ti >= 1 && ti <= n && tj >= 1 && tj <= m) now.a[get(i, j, n, m)][get(ti, tj, n, m)]++; } res.init(); while (q--) { int tp, x, y, t; scanf("%d%d%d%d", &tp, &x, &y, &t); res = res * (now ^ (t - la)), la = t; if (tp == 1) printf("%d\n", res.a[get(1, 1, n, m)][get(x, y, n, m)]); else { if (tp == 3) cat[x][y] = 0; for (int k = 0; k < 5; k++) { int tx = x + d[k][0]; int ty = y + d[k][1]; if (tx >= 1 && tx <= n && ty >= 1 && ty <= m && cat[tx][ty] == 0) { now.a[get(x, y, n, m)][get(tx, ty, n, m)] = tp - 2; now.a[get(tx, ty, n, m)][get(x, y, n, m)] = tp - 2; } } if (tp == 2) cat[x][y] = 1; } } return 0; }
#include <bits/stdc++.h> using namespace std; const int nm = 52; const long long mod = 1000000007; const int x[] = {-1, 0, 0, 1}; const int y[] = {0, -1, 1, 0}; struct bg { int k, x, y, t; }; struct matrix { int m, n; long long a[nm][nm]; }; int m, n, q; bg aaa[10010]; matrix c, v, mtdv, tmp; int cat[nm][nm]; bool hople(int i, int j) { return i > 0 && i <= m && j > 0 && j <= n; } void build() { c.m = c.n = m * n; for (int i = 1; i <= c.m; ++i) { for (int j = 1; j <= c.n; ++j) c.a[i][j] = 0; } for (int i = 1; i <= m; ++i) { for (int j = 1; j <= n; ++j) { if (!cat[i][j]) { c.a[(i - 1) * n + j][(i - 1) * n + j] = 1; for (int k = 0; k < 4; ++k) { int i2 = i + x[k], j2 = j + y[k]; if (hople(i2, j2) && !cat[i2][j2]) { c.a[(i - 1) * n + j][(i2 - 1) * n + j2] = 1; } } } } } } matrix mul(matrix a, matrix b) { tmp.m = a.m; tmp.n = b.n; for (int i = 1; i <= tmp.m; ++i) for (int j = 1; j <= tmp.n; ++j) { tmp.a[i][j] = 0; for (int k = 1; k <= a.n; ++k) tmp.a[i][j] = (tmp.a[i][j] + (a.a[i][k] * b.a[k][j]) % mod) % mod; } return tmp; } matrix power(matrix a, int n) { if (!n) return mtdv; tmp = power(a, n >> 1); tmp = mul(tmp, tmp); if (n & 1) tmp = mul(tmp, a); return tmp; } int main() { scanf("%d%d%d", &m, &n, &q); for (int i = 1; i <= q; ++i) { scanf("%d%d%d%d", &aaa[i].k, &aaa[i].x, &aaa[i].y, &aaa[i].t); } v.m = m * n; v.n = 1; for (int i = 1; i <= v.m; ++i) v.a[i][1] = 0; v.a[1][1] = 1; mtdv.m = mtdv.n = m * n; for (int i = 1; i <= mtdv.m; ++i) for (int j = 1; j <= mtdv.n; ++j) mtdv.a[i][j] = (i == j); aaa[0].t = 1; for (int i = 1; i <= q; ++i) { build(); c = power(c, aaa[i].t - aaa[i - 1].t); v = mul(c, v); if (aaa[i].k == 1) { printf("%I64d\n", v.a[(aaa[i].x - 1) * n + aaa[i].y][1]); } else if (aaa[i].k == 2) { cat[aaa[i].x][aaa[i].y] = 1; } else cat[aaa[i].x][aaa[i].y] = 0; } }
#include <bits/stdc++.h> using namespace std; const int N = 100; const int M = 15; const long long MOD = 1000000007LL; const double EPS = 1e-8; int n, m, q; vector<vector<long long> > has_cat; void init() {} long long get_id(long long x, long long y) { return m * x + y; } vector<pair<long long, long long> > get_conn(int x, int y) { int dir[][2] = {{0, 1}, {0, -1}, {1, 0}, {-1, 0}, {0, 0}}; vector<pair<long long, long long> > ret; for (int i = 0; i < 5; i++) { int xx = x + dir[i][0]; int yy = y + dir[i][1]; if (xx < 0 || yy < 0 || xx >= n || yy >= m || has_cat[xx][yy]) { continue; } ret.push_back(make_pair(xx, yy)); } return ret; } vector<vector<long long> > build_transit() { vector<vector<long long> > mat = vector<vector<long long> >(n * m, vector<long long>(n * m, 0)); for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { vector<pair<long long, long long> > conn = get_conn(i, j); for (int k = 0; k < conn.size(); k++) { int a = get_id(i, j); int b = get_id(conn[k].first, conn[k].second); mat[a][b] = 1; } } } return mat; } vector<vector<long long> > multi(vector<vector<long long> > m1, vector<vector<long long> > m2) { int len_n = m1.size(), len_m = m1[0].size(); vector<vector<long long> > ret = vector<vector<long long> >(len_n, vector<long long>(len_m, 0)); for (int i = 0; i < len_n; i++) { for (int j = 0; j < len_m; j++) { ret[i][j] = 0; for (int k = 0; k < len_m; k++) { ret[i][j] += ((m1[i][k] * m2[k][j]) % MOD); ret[i][j] %= MOD; } } } return ret; } vector<vector<long long> > quick_mul(vector<vector<long long> > m1, vector<vector<long long> > m2, int t) { vector<vector<long long> > ma = m1, mb = m2; while (t >= 1) { if (t & 1) { ma = multi(ma, mb); } t >>= 1; mb = multi(mb, mb); } return ma; } vector<vector<long long> > cal(vector<vector<long long> > mat, int t1, int t2) { vector<vector<long long> > tran = build_transit(); return quick_mul(mat, tran, t2 - t1); } void solve() { has_cat = vector<vector<long long> >(n, vector<long long>(m, 0)); vector<vector<long long> > mat = vector<vector<long long> >(1, vector<long long>(n * m, 0)); mat[0][0] = 1; int cur_time = 1; while (q--) { int o, x, y, t; scanf("%d%d%d%d", &o, &x, &y, &t); x--, y--; if (o == 1) { mat = cal(mat, cur_time, t); cout << mat[0][get_id(x, y)] << endl; } if (o == 2) { mat = cal(mat, cur_time, t - 1); has_cat[x][y] = 1; mat = cal(mat, t - 1, t); } if (o == 3) { mat = cal(mat, cur_time, t); has_cat[x][y] = 0; } cur_time = t; } } int main() { while (cin >> n >> m >> q) { init(); solve(); } }
#include <bits/stdc++.h> using namespace std; const int dx[] = {1, 0, -1, 0, 0}, dy[] = {0, 1, 0, -1, 0}; const int mod = 1e9 + 7; struct mat { int n; vector<vector<int>> f; void add(int &a, int b) { a += b; if (a >= mod) a -= mod; } mat(int _n) { n = _n; f.assign(n, vector<int>(n, 0)); } mat one() { mat res(n); for (int i = 0; i < n; i++) res.f[i][i] = 1; return res; } mat operator*(const mat &m) { mat res(n); for (int i = 0; i < n; i++) for (int j = 0; j < n; j++) for (int k = 0; k < n; k++) add(res.f[i][k], (long long)f[i][j] * m.f[j][k] % mod); return res; } mat binpow(int k) { mat res = one(); mat n = (*this); while (k > 0) { if (k & 1) res = res * n; n = n * n; k >>= 1; } return res; } void print(int r) { for (int i = 0; i <= r; i++) { for (int j = 0; j < n; j++) cout << f[i][j] << " "; cout << endl; } cout << endl; } }; int n, m, q; bool a[25][25]; bool check(int i, int j) { return 0 <= min(i, j) && i < n && j < m; } int id(int i, int j) { return i * m + j; } void build(mat &mul) { for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) { int x = id(i, j); for (int dir = 0; dir < 5; dir++) { int u = i + dx[dir]; int v = j + dy[dir]; if (!check(u, v)) continue; int y = id(u, v); mul.f[x][y] = !a[u][v] && !a[i][j]; } } } int main() { ios_base::sync_with_stdio(0); cin.tie(0); cin >> n >> m >> q; mat base(n * m); base.f[0][0] = 1; mat mul(n * m); for (int cur = 1; q > 0; q--) { int op, i, j, t; cin >> op >> i >> j >> t; i--; j--; build(mul); base = base * mul.binpow(t - cur); cur = t; if (op == 2) { a[i][j] = true; base.f[0][id(i, j)] = 0; } else if (op == 3) a[i][j] = false; else cout << base.f[0][id(i, j)] << "\n"; } return 0; }
#include <bits/stdc++.h> using namespace std; const int mod = 1e9 + 7; const long long mod2 = 1LL * mod * mod; int len; int c[21][21]; void mul(int a[21][21], int b[21][21]) { for (int i = 1; i <= len; i++) { for (int j = 1; j <= len; j++) { long long t = 0; for (int k = 1; k <= len; k++) { t += (long long)(a[i][k]) * b[k][j]; if (t > mod2) t -= mod2; } c[i][j] = t % mod; } } for (int i = 1; i <= len; i++) for (int j = 1; j <= len; j++) b[i][j] = c[i][j]; } void mul_2(int a[21][21], int b[21][21]) { for (int i = 1; i <= len; i++) { long long t = 0; for (int k = 1; k <= len; k++) { t += (long long)(a[i][k]) * b[k][1]; if (t > mod2) t -= mod2; } c[i][1] = t % mod; } for (int i = 1; i <= len; i++) b[i][1] = c[i][1]; } int n, m, q; inline int id(int r, int c) { return (r - 1) * m + c; } int mp[21][21]; int tra[21][21]; int out[21][21]; void fastpow_tra(int ti) { while (ti) { if (ti & 1) mul_2(tra, out); mul(tra, tra); ti >>= 1; } } int xx[5] = {0, 0, 0, -1, 1}, yy[5] = {0, 1, -1, 0, 0}; void make_matrix() { memset(tra, 0, sizeof(tra)); for (int i = 1; i <= len; i++) tra[i][i] = 1; for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++) if (mp[i][j] == 0) for (int t = 1; t <= 4; t++) { int x1 = i + xx[t], y1 = j + yy[t]; if (x1 >= 1 && x1 <= n && y1 >= 1 && y1 <= m && mp[x1][y1] == 0) tra[id(i, j)][id(x1, y1)] = 1; } } int main() { scanf("%d%d%d", &n, &m, &q); len = id(n, m); out[1][1] = 1; for (int i = 1, last = 1; i <= q; i++) { int ins, x, y, ti; scanf("%d%d%d%d", &ins, &x, &y, &ti); make_matrix(); fastpow_tra(ti - last); if (ins == 1) { printf("%d\n", out[id(x, y)][1]); } else if (ins == 2) { mp[x][y]++; out[id(x, y)][1] = 0; } else if (ins == 3) { mp[x][y]--; } last = ti; } return 0; }
#include <bits/stdc++.h> using namespace std; const int INF = 1000000002; const long long INFLL = 100000000000000000ll; const long long MOD = 1000000007; struct Matrix { struct Array { vector<int> p; int sz; int getSize() { return sz; } Array(int _sz) { p.resize(_sz, 0); sz = _sz; } int& operator[](int idx) { return p[idx]; } }; int sz; vector<Array> v; Matrix(int p1, int p2) { sz = p1; v.resize(p1, Array(p2)); } int getSize() { return sz; } Array& operator[](int idx) { return v[idx]; } }; int C[405], H, W, Q; long long DP[405], DP2[405]; Matrix mult(Matrix m1, Matrix m2) { int n = m1.getSize(); Matrix ret(n, n); for (int i = (0); i <= (n - 1); i++) for (int j = (0); j <= (n - 1); j++) for (int k = (0); k <= (n - 1); k++) ret[i][j] = ((long long)ret[i][j] + (long long)m1[i][k] * m2[k][j]) % MOD; return ret; } Matrix pow(Matrix m, long long e) { int n = m.getSize(); Matrix ret(n, n); for (int i = (0); i <= (n - 1); i++) ret[i][i] = 1; while (e) { if (e & 1) ret = mult(ret, m); m = mult(m, m); e /= 2; } return ret; } inline int idx(int i, int j) { return i * W + j; } void work(Matrix& m, int i, int b) { if (i >= W) m[i - W][i] = m[i][i - W] = b & (!C[i - W]); if (i + W < H * W) m[i + W][i] = m[i][i + W] = b & (!C[i + W]); if (i % W < W - 1) m[i + 1][i] = m[i][i + 1] = b & (!C[i + 1]); if (i % W > 0) m[i - 1][i] = m[i][i - 1] = b & (!C[i - 1]); m[i][i] = b; } int main() { cin >> H >> W >> Q; Matrix T(H * W, H * W); for (int i = (0); i <= (H - 1); i++) for (int j = (0); j <= (W - 1); j++) work(T, idx(i, j), 1); DP[0] = 1; long long last = 1; while (Q--) { int type; scanf("%d", &type); if (type == 2) { int i, j; long long t; scanf("%d %d %I64d", &i, &j, &t); i--, j--; Matrix temp = pow(T, t - last); for (int i = (0); i <= (H * W - 1); i++) DP2[i] = 0; for (int i = (0); i <= (H * W - 1); i++) for (int p = (0); p <= (H * W - 1); p++) DP2[i] = (DP2[i] + DP[p] * temp[p][i]) % MOD; for (int i = (0); i <= (H * W - 1); i++) DP[i] = DP2[i]; last = t; C[idx(i, j)] = 1; work(T, idx(i, j), 0); } if (type == 3) { int i, j; long long t; scanf("%d %d %I64d", &i, &j, &t); i--, j--; Matrix temp = pow(T, t - last); for (int i = (0); i <= (H * W - 1); i++) DP2[i] = 0; for (int i = (0); i <= (H * W - 1); i++) for (int p = (0); p <= (H * W - 1); p++) DP2[i] = (DP2[i] + DP[p] * temp[p][i]) % MOD; for (int i = (0); i <= (H * W - 1); i++) DP[i] = DP2[i]; last = t; C[idx(i, j)] = 0; work(T, idx(i, j), 1); } if (type == 1) { int i, j; long long t; scanf("%d %d %I64d", &i, &j, &t); i--, j--; Matrix temp = pow(T, t - last); for (int i = (0); i <= (H * W - 1); i++) DP2[i] = 0; for (int i = (0); i <= (H * W - 1); i++) for (int p = (0); p <= (H * W - 1); p++) DP2[i] = (DP2[i] + DP[p] * temp[p][i]) % MOD; for (int i = (0); i <= (H * W - 1); i++) DP[i] = DP2[i]; last = t; printf("%I64d\n", DP[idx(i, j)]); } } }
#include <bits/stdc++.h> using namespace std; int n, m, q; int N; int dx[] = {1, -1, 0, 0}; int dy[] = {0, 0, 1, -1}; vector<vector<int> > A; vector<vector<int> > B; vector<vector<int> > C; int D[20]; const int MOD = 1e9 + 7; bool cats[20]; int F(int a, int b) { return a * m + b; } void add(int a, int b, int c, int d) { if (a >= 0 && a < n && c >= 0 && c < n && b >= 0 && b < m && d >= 0 && d < m) { a = F(a, b); b = F(c, d); if (cats[b]) return; A[a][b] = A[b][a] = 1; } } void remove(int a, int b, int c, int d) { if (a >= 0 && a < n && c >= 0 && c < n && b >= 0 && b < m && d >= 0 && d < m) { a = F(a, b); b = F(c, d); A[a][b] = A[b][a] = 0; } } void build() { for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { for (int k = 0; k < 4; k++) { add(i, j, i + dx[k], j + dy[k]); } } } for (int i = 0; i < N; i++) { A[i][i] = 1; } } vector<vector<int> > mul(vector<vector<int> > &a, vector<vector<int> > &b) { vector<vector<int> > res = a; for (int i = 0; i < N; i++) { for (int j = 0; j < N; j++) { res[i][j] = 0; for (int k = 0; k < N; k++) { res[i][j] += ((long long)a[i][k] * b[k][j]) % MOD; res[i][j] %= MOD; } } } return res; } void binpow(int n) { B = A; for (int i = 0; i < N; i++) { for (int j = 0; j < N; j++) { if (i == j) C[i][j] = 1; else C[i][j] = 0; } } if (n == 0) return; while (n) { if (n & 1) C = mul(C, B); n >>= 1; B = mul(B, B); } } int main() { scanf("%d %d %d", &n, &m, &q); N = n * m; A.resize(N, vector<int>(N)); B.resize(N, vector<int>(N)); C.resize(N, vector<int>(N)); D[0] = 1; int tmp[20]; build(); int tp, x, y, t; int last = 1; for (int i = 0; i < q; i++) { scanf("%d %d %d %d", &tp, &x, &y, &t); x--; y--; binpow(t - last); for (int i = 0; i < N; i++) { tmp[i] = 0; for (int k = 0; k < N; k++) { tmp[i] += ((long long)D[k] * C[k][i]) % MOD; tmp[i] %= MOD; } } for (int i = 0; i < N; i++) { D[i] = tmp[i]; } if (tp == 1) { printf("%d\n", D[F(x, y)]); } else if (tp == 2) { for (int k = 0; k < 4; k++) { remove(x, y, x + dx[k], y + dy[k]); } D[F(x, y)] = 0; cats[F(x, y)] = 1; } else { for (int k = 0; k < 4; k++) { add(x, y, x + dx[k], y + dy[k]); } D[F(x, y)] = 0; cats[F(x, y)] = 0; } last = t; } return 0; }
#include <bits/stdc++.h> using namespace std; int n, m, tot; bool ok(int i, int j) { if (i < 0 or i >= n or j < 0 or j >= m) return 0; return 1; } long long int c[20][20] = {0}; void matcpy(long long int a[20][20], long long int b[20][20]) { for (int i = 0; i < tot; i++) { for (int j = 0; j < tot; j++) { a[i][j] = b[i][j]; } } } void mul(long long int a[20][20], long long int b[20][20]) { for (int i = 0; i < tot; i++) { for (int j = 0; j < tot; j++) { c[i][j] = 0; for (int k = 0; k < tot; k++) { c[i][j] += (a[i][k] * b[k][j]) % 1000000007; c[i][j] %= 1000000007; } } } matcpy(a, c); } long long int id[20][20] = {0}; int cat[20][20] = {0}; void bpow(long long int a[20][20], int k) { for (int i = 0; i < tot; i++) { for (int j = 0; j < tot; j++) { if (i == j) id[i][j] = 1; else id[i][j] = 0; } } while (k > 0) { if (k & 1) mul(id, a); mul(a, a); k /= 2; } matcpy(a, id); } long long int mat[20][20] = {0}; long long int T[20][20] = {0}; int main() { ios_base::sync_with_stdio(0); cin.tie(0); int q, x, y, t, tp; cin >> n >> m >> q; tot = n * m; int prev = 1; for (int i = 0; i < tot; i++) { for (int j = 0; j < tot; j++) { if (i == j) mat[i][j] = 1; else mat[i][j] = 0; } } while (q--) { cin >> tp >> x >> y >> t; x--; y--; for (int i1 = 0; i1 < n; i1++) { for (int j1 = 0; j1 < m; j1++) { for (int i2 = 0; i2 < n; i2++) { for (int j2 = 0; j2 < m; j2++) { if (!cat[i1][j1] and !cat[i2][j2] and abs(i1 - i2) + abs(j1 - j2) <= 1) { T[m * i1 + j1][m * i2 + j2] = 1; } else { T[m * i1 + j1][m * i2 + j2] = 0; } } } } } bpow(T, t - prev); prev = t; mul(mat, T); if (tp == 1) { cout << mat[0][m * x + y] << "\n"; } else if (tp == 2) { cat[x][y] = 1; } else { cat[x][y] = 0; } } }
#include <bits/stdc++.h> using namespace std; int n, m, q, tp, x, y, t, la, nx, ny, bz[25][25]; const int c[4][2] = {{0, 1}, {0, -1}, {1, 0}, {-1, 0}}; struct mat { int a[25][25]; mat() { memset(a, 0, sizeof(a)); }; friend mat operator*(mat x, mat y) { mat z; for (int i = 1; i <= n * m; i++) for (int j = 1; j <= n * m; j++) for (int k = 1; k <= n * m; k++) z.a[i][j] = (z.a[i][j] + x.a[i][k] * 1ll * y.a[k][j]) % 1000000007; return z; } friend mat operator^(mat x, int y) { mat s; for (int i = 1; i <= n * m; i++) s.a[i][i] = 1; for (; y; y /= 2, x = x * x) if (y & 1) s = s * x; return s; } } now; int poi(int x, int y) { return (x - 1) * m + y; } int main() { scanf("%d%d%d", &n, &m, &q); la = 1; for (int i = 1; i <= n * m; i++) now.a[i][i] = 1; for (int i = 1; i <= q; i++) { scanf("%d%d%d%d", &tp, &x, &y, &t); mat tmp; for (int j = 1; j <= n; j++) for (int k = 1; k <= m; k++) { for (int p = 0; p < 4; p++) { nx = j + c[p][0], ny = k + c[p][1]; if (nx < 1 || ny < 1 || nx > n || ny > m) continue; tmp.a[poi(j, k)][poi(nx, ny)] = 1 - (bz[j][k] || bz[nx][ny]); } tmp.a[poi(j, k)][poi(j, k)] = 1 - bz[j][k]; } now = now * (tmp ^ (t - la)); if (tp == 2) bz[x][y] = 1; if (tp == 3) bz[x][y] = 0; if (tp == 1) printf("%d\n", now.a[1][poi(x, y)]); la = t; } }
#include <bits/stdc++.h> using namespace std; unsigned long long mod = 1000000007; struct mat { unsigned long long m[25][25]; int f, c; }; int cat[25][25]; mat operator*(mat a, mat b) { mat d; for (int i = 0; i < a.f; i++) for (int h = 0; h < b.c; h++) { unsigned long long r = 0; for (int k = 0; k < a.c; k++) { r = (r + (a.m[i][k] % mod) * (b.m[k][h]) % mod) % mod; } d.m[i][h] = r % mod; } d.f = a.f; d.c = b.c; return d; } mat square(mat a) { return a * a; } mat pot(mat a, unsigned long long n) { if (n == 1ll) return a; if (n & 1ll) return a * pot(a, n - 1ll); else return square(pot(a, n >> 1ll)); } map<pair<int, int>, int> id; int mf[4] = {1, -1, 0, 0}; int mc[4] = {0, 0, 1, -1}; int n, m, tq, a, b, idx, q; unsigned long long t; pair<int, int> pos[10005]; bool valid(int x, int y) { if (x >= 1 && x <= n && y >= 1 && y <= m) return 1; return 0; } mat rebuild() { mat ma; ma.c = idx; ma.f = idx; for (int i = 0; i < idx; i++) for (int h = 0; h < idx; h++) ma.m[i][h] = 0; for (int i = 0; i < idx; i++) { pair<int, int> x = pos[i]; if (!cat[x.first][x.second]) { ma.m[i][i] = 1; for (int h = 0; h < 4; h++) { int a = mf[h] + x.first; int b = mc[h] + x.second; if (valid(a, b) && !cat[a][b]) { ma.m[id[make_pair(a, b)]][i] = 1; } } } } return ma; } int main() { scanf("%d %d", &n, &m); for (int i = 1; i <= n; i++) { for (int h = 1; h <= m; h++) { id[make_pair(i, h)] = idx; pos[idx] = make_pair(i, h); idx++; } } mat actual; actual.c = idx; actual.f = idx; mat trans; trans.c = idx; trans.f = idx; for (int i = 0; i < idx; i++) { pair<int, int> j = pos[i]; trans.m[i][i] = 1; for (int h = 0; h < 4; h++) { int x = j.first + mf[h]; int y = j.second + mc[h]; if (valid(x, y)) { trans.m[id[make_pair(x, y)]][i] = 1; } } } actual.m[0][0] = 1; scanf("%d", &q); unsigned long long tactual = 1; while (q--) { scanf("%d %d %d %I64d", &tq, &a, &b, &t); actual = pot(trans, t - tactual) * actual; if (tq > 1) { cat[a][b] ^= 1; trans = rebuild(); } else { printf("%I64d\n", actual.m[id[make_pair(a, b)]][0]); } tactual = t; } return 0; }
#include <bits/stdc++.h> using namespace std; long long gcd(long long a, long long b) { long long r; while (b != 0) { r = a % b; a = b; b = r; } return a; } long long lcm(long long a, long long b) { return a / gcd(a, b) * b; } const int MOD = (int)1e9 + 7; const int INF = (int)1e9; const long long LINF = (long long)1e18; const long double PI = 2 * acos(0); const int MAXN = 21; struct matrix { int x[MAXN][MAXN]; matrix() { memset(x, 0, sizeof(x)); } matrix unit() { matrix res; for (int i = 0; i < MAXN; i++) res.x[i][i] = 1; return res; } matrix operator+(matrix A) { matrix res; for (int i = 0; i < MAXN; i++) for (int j = 0; j < MAXN; j++) { res.x[i][j] = (x[i][j] + A.x[i][j]) % MOD; } return res; } matrix operator*(matrix A) { matrix res; for (int i = 0; i < MAXN; i++) for (int j = 0; j < MAXN; j++) { for (int k = 0; k < MAXN; k++) res.x[i][j] = (res.x[i][j] + 1LL * x[i][k] * A.x[k][j]) % MOD; } return res; } matrix operator^(long long k) { if (!k) return unit(); matrix res, tmp; for (int i = 0; i < MAXN; i++) for (int j = 0; j < MAXN; j++) { res.x[i][j] = tmp.x[i][j] = x[i][j]; } k--; while (k) { if (k & 1) res = res * tmp; tmp = tmp * tmp; k >>= 1; } return res; } friend matrix sumpower(matrix A, long long k) { if (k == 1) return A; if (k & 1) return (A ^ k) + sumpower(A, k - 1); k >>= 1; matrix tmp = sumpower(A, k); return tmp + (tmp * (A ^ k)); } }; const int maxn = 21; int n, m, q; int g[maxn][maxn]; int get(int i, int j) { return i * m + j; } void solve() { scanf("%d%d%d", &n, &m, &q); for (int i = (0); i < (n); i++) for (int j = (0); j < (m); j++) { g[get(i, j)][get(i, j)] = 1; if (i) g[get(i, j)][get(i - 1, j)] = 1; if (i + 1 < n) g[get(i, j)][get(i + 1, j)] = 1; if (j) g[get(i, j)][get(i, j - 1)] = 1; if (j + 1 < m) g[get(i, j)][get(i, j + 1)] = 1; } int cur = 1; matrix can, A; can.x[0][0] = 1; for (int i = (0); i < (maxn); i++) for (int j = (0); j < (maxn); j++) A.x[i][j] = g[i][j]; while (q--) { int op, x, y, t; scanf("%d%d%d%d", &op, &x, &y, &t); int k = get(x - 1, y - 1); can = can * (A ^ (t - cur - 1)); if (op == 1) { can = can * A; printf("%d\n", can.x[0][k]); } else if (op == 2) { for (int i = (0); i < (maxn); i++) A.x[i][k] = 0; can = can * A; } else { can = can * A; for (int i = (0); i < (maxn); i++) A.x[i][k] = g[i][k]; } cur = t; } } int main() { solve(); return 0; }
#include <bits/stdc++.h> using namespace std; using ll = long long; using ld = long double; template <class T> bool ckmin(T& a, const T& b) { return a > b ? a = b, 1 : 0; } template <class T> bool ckmax(T& a, const T& b) { return a < b ? a = b, 1 : 0; } mt19937 rng(chrono::steady_clock::now().time_since_epoch().count()); const int M = 1e9 + 7; int N, n, m; bool valid(int x, int y) { return 0 <= x && x < n && 0 <= y && y < m; } int hsh(int x, int y) { return m * x + y; } void add(int& x, int y) { x += y; if (M <= x) x -= M; } using vi = vector<int>; using V = vector<vi>; V operator*(const V& a, const V& b) { V c(N, vi(N, 0)); for (auto i = (0); i < (N); ++i) for (auto j = (0); j < (N); ++j) for (auto k = (0); k < (N); ++k) add(c[i][j], (ll)a[i][k] * b[k][j] % M); return c; } V& operator*=(V& x, const V& y) { return x = x * y; } V binpow(V a, int n) { V res(N, vi(N, 0)); for (auto i = (0); i < (N); ++i) res[i][i] = 1; for (; n; n >>= 1, a *= a) if (n & 1) res *= a; return res; } const int MX = 30; bool dead[MX][MX]; signed main() { ios::sync_with_stdio(false); cin.tie(nullptr); int q; cin >> n >> m >> q; N = n * m; V A; auto g = [&](int u, int i, int j) { if (valid(i, j) && !dead[i][j]) A[u][hsh(i, j)] = 1; }; V C(N, vi(N, 0)); for (auto x = (0); x < (N); ++x) C[x][x] = 1; int p = 1; while (q--) { int c, i, j, t; cin >> c >> i >> j >> t; --i; --j; A = V(N, vi(N, 0)); for (auto i = (0); i < (n); ++i) { for (auto j = (0); j < (m); ++j) { if (dead[i][j]) continue; int u = hsh(i, j); A[u][u] = 1; g(u, i + 1, j); g(u, i - 1, j); g(u, i, j + 1); g(u, i, j - 1); } } C *= binpow(A, t - p); if (c != 1) dead[i][j] ^= 1; else cout << C[0][hsh(i, j)] << '\n'; p = t; } }
#include <bits/stdc++.h> using namespace std; const long long mod = 1e9 + 7; long long row, col, query; int cat[25][25]; vector<vector<long long> > unit(long long n) { vector<vector<long long> > ret(n, vector<long long>(n)); for (long long i = 0; i < n; i++) ret[i][i] = 1; return ret; } vector<vector<long long> > matrixAdd(const vector<vector<long long> > &a, const vector<vector<long long> > &b) { long long n = a.size(); long long m = a[0].size(); vector<vector<long long> > ret(n, vector<long long>(m)); for (long long i = 0; i < n; i++) for (long long j = 0; j < m; j++) ret[i][j] = (a[i][j] + b[i][j]) % mod; return ret; } vector<vector<long long> > matrixMul(const vector<vector<long long> > &a, const vector<vector<long long> > &b) { long long n = a.size(); long long m = a[0].size(); long long k = b[0].size(); vector<vector<long long> > ret(n, vector<long long>(k)); for (long long i = 0; i < n; i++) for (long long j = 0; j < k; j++) for (long long p = 0; p < m; p++) ret[i][j] = (ret[i][j] + (long long)a[i][p] * b[p][j]) % mod; return ret; } vector<vector<long long> > matrixPow(const vector<vector<long long> > &a, long long p) { if (p == 0) return unit(a.size()); if (p & 1) return matrixMul(a, matrixPow(a, p - 1)); return matrixPow(matrixMul(a, a), p / 2); } long long getId(long long r, long long c) { return col * r + c; } bool isCan(long long y, long long x) { if (y >= 0 && y < row && x >= 0 && x < col) return true; return false; } long long dy[4] = {0, 0, 1, -1}; long long dx[4] = {1, -1, 0, 0}; void addMatrix(long long y, long long x, vector<vector<long long> > &m) { long long id = getId(y, x); m[id][id] = 1; for (long long k = 0; k < 4; k++) { long long ny = y + dy[k]; long long nx = x + dx[k]; if (isCan(ny, nx)) { long long nid = getId(ny, nx); if (cat[ny][nx] == 0 && cat[y][x] == 0) { m[nid][id] = 1; m[id][nid] = 1; } } } } void eraseMatrix(long long y, long long x, vector<vector<long long> > &m) { long long id = getId(y, x); m[id][id] = 0; for (long long k = 0; k < 4; k++) { long long ny = y + dy[k]; long long nx = x + dx[k]; if (isCan(ny, nx)) { long long nid = getId(ny, nx); m[nid][id] = 0; m[id][nid] = 0; } } } int main() { ios::sync_with_stdio(false); cin.tie(0); cin >> row >> col >> query; long long n = row * col; vector<vector<long long> > base; vector<vector<long long> > m(n, vector<long long>(n)); vector<vector<long long> > init(n, vector<long long>(1)); init[0][0] = 1; long long cur = 1; base = m; for (long long y = 0; y < row; y++) { for (long long x = 0; x < col; x++) { addMatrix(y, x, base); } } vector<vector<long long> > A = init; for (long long i = 0; i < query; i++) { long long type, r, c, t; cin >> type >> r >> c >> t; r--, c--; long long diff = t - cur; if (type == 1) { vector<vector<long long> > temp = matrixPow(base, diff); A = matrixMul(temp, A); long long id = getId(r, c); long long ans = A[id][0]; cout << ans << "\n"; } else if (type == 2) { vector<vector<long long> > temp = matrixPow(base, diff); A = matrixMul(temp, A); A[getId(r, c)][0] = 0; cat[r][c] = 1; eraseMatrix(r, c, base); } else { vector<vector<long long> > temp = matrixPow(base, diff); ; A = matrixMul(temp, A); cat[r][c] = 0; addMatrix(r, c, base); } cur = t; } }
#include <bits/stdc++.h> using namespace std; const int MOD = 1000000007; int obstacol[25][25]; int N, M, Q; const int dx[] = {-1, 0, 1, 0}; const int dy[] = {0, 1, 0, -1}; int CoordToNr(const int &x, const int &y) { return (x - 1) * M + y; } void NrToCoord(int nr, int &x, int &y) { x = nr / M; if (nr % M != 0) x++; y = nr % M; if (y == 0) y = M; } class Matrice { public: int a[25][25]; int N, M; Matrice() { N = 0; M = 0; memset(a, 0, sizeof(a)); } Matrice(const int &N, const int &M) { memset(a, 0, sizeof(a)); this->N = N; this->M = M; } Matrice(const int &N, const int &M, const int _a[][25]) { memset(a, 0, sizeof(a)); this->N = N; this->M = M; for (int i = 1; i <= N; ++i) for (int j = 1; j <= M; ++j) this->a[i][j] = _a[i][j]; } Matrice(const Matrice &other) { memset(a, 0, sizeof(a)); this->N = other.N; this->M = other.M; for (int i = 1; i <= other.N; ++i) for (int j = 1; j <= other.M; ++j) this->a[i][j] = other.a[i][j]; } const Matrice &operator=(const Matrice &other) { memset(a, 0, sizeof(a)); this->N = other.N; this->M = other.M; for (int i = 1; i <= other.N; ++i) for (int j = 1; j <= other.M; ++j) this->a[i][j] = other.a[i][j]; return *this; } Matrice operator*(const Matrice &other) const { Matrice ret(this->N, other.M); for (int i = 1; i <= this->N; ++i) for (int j = 1; j <= other.M; ++j) { int nr = 0; for (int k = 1; k <= this->M; ++k) { nr = (1LL * nr + 1LL * this->a[i][k] * other.a[k][j]) % MOD; } ret.a[i][j] = nr; } return ret; } static Matrice GetIdentity(int nrLinii) { Matrice ret = Matrice(nrLinii, nrLinii); for (int i = 1; i <= nrLinii; ++i) ret.a[i][i] = 1; return ret; } Matrice pow(int exp) const { Matrice ret = GetIdentity(this->N); Matrice baza(*this); while (exp > 0) { if (exp & 1) { ret = ret * baza; } exp >>= 1; baza = baza * baza; } return ret; } void Afisare() { cout << "\nAfisare:\n"; for (int i = 1; i <= this->N; ++i, cout << "\n") for (int j = 1; j <= this->M; ++j) cout << this->a[i][j] << " "; cout << "\n"; } }; bool Interior(const int &x, const int &y) { return 1 <= x && x <= N && 1 <= y && y <= M; } void Afisare(Matrice A) { cout << "\nAfisare:\n"; for (int i = 1; i <= A.N; ++i, cout << "\n") for (int j = 1; j <= A.M; ++j) cout << A.a[i][j] << " "; cout << "\n"; } Matrice BuildMatrix() { const int nrLinii = N * M; Matrice ret(nrLinii, nrLinii); for (int i = 1; i <= N; ++i) for (int j = 1; j <= M; ++j) { if (obstacol[i][j] == 1) continue; int nr = CoordToNr(i, j); for (int k = 0; k < 4; ++k) { if (Interior(i + dx[k], j + dy[k]) && obstacol[i + dx[k]][j + dy[k]] == 0) ret.a[CoordToNr(i + dx[k], j + dy[k])][nr] = 1; } ret.a[nr][nr] = 1; } for (int i = 1; i <= N; ++i) for (int j = 1; j <= M; ++j) if (obstacol[i][j] == 1) { int nr = CoordToNr(i, j); for (int k = 1; k <= nrLinii; ++k) ret.a[k][nr] = ret.a[nr][k] = 0; } return ret; } int main() { std::ios_base::sync_with_stdio(false); cin >> N >> M >> Q; int lastt = 1; Matrice magicMatrix(Matrice::GetIdentity(N * M)); Matrice currentMatrix(BuildMatrix()); Matrice aux(1, N * M); aux.a[1][1] = 1; for (int i = 1; i <= Q; ++i) { int cod, x, y, t; cin >> cod >> x >> y >> t; if (cod == 1) { magicMatrix = magicMatrix * currentMatrix.pow(t - lastt); Matrice aux(1, N * M); aux.a[1][1] = 1; aux = aux * magicMatrix; cout << aux.a[1][CoordToNr(x, y)] << "\n"; } if (cod == 2) { magicMatrix = magicMatrix * currentMatrix.pow(t - lastt); obstacol[x][y] = 1; currentMatrix = BuildMatrix(); } if (cod == 3) { magicMatrix = magicMatrix * currentMatrix.pow(t - lastt); obstacol[x][y] = 0; currentMatrix = BuildMatrix(); } lastt = t; } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 20, M = 1000000007; const int dx[5] = {0, 0, 0, 1, -1}; const int dy[5] = {0, 1, -1, 0, 0}; int n, m, k, q, type, x, y, t; struct Matrix { int A[N + 5][N + 5]; }; inline int cell(int x, int y) { return x * m + y; } Matrix initMatrix() { Matrix ret; for (int i = 0; i < k; i++) { for (int j = 0; j < k; j++) { ret.A[i][j] = 0; } } for (int i = 0; i < k; i++) { ret.A[i][i] = 1; } return ret; } Matrix initEdgeMatrix() { Matrix ret; for (int i = 0; i < k; i++) { for (int j = 0; j < k; j++) { ret.A[i][j] = 0; } } for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { for (int k = 0; k < 5; k++) { int xx = i + dx[k]; int yy = j + dy[k]; if (xx >= 0 && xx < n && yy >= 0 && yy < m) { ret.A[cell(i, j)][cell(xx, yy)] = true; } } } } return ret; } inline void add(int &w, int u) { w += u; if (w >= M) { w -= M; } } Matrix mul(Matrix a, Matrix b) { Matrix ret; for (int i = 0; i < k; i++) { for (int j = 0; j < k; j++) { ret.A[i][j] = 0; } } for (int i = 0; i < k; i++) { for (int j = 0; j < k; j++) { for (int l = 0; l < k; l++) { ret.A[i][j] = (ret.A[i][j] + (long long)a.A[i][l] * b.A[l][j]) % M; } } } return ret; } Matrix power(Matrix a, int l) { Matrix ret = initMatrix(); while (l >= 1) { if (l % 2 == 1) { ret = mul(ret, a); } a = mul(a, a); l /= 2; } return ret; } void setCat(Matrix &a, int x, int y, int value) { for (int i = 0; i < 5; i++) { int xx = x + dx[i]; int yy = y + dy[i]; if (xx >= 0 && xx < n && yy >= 0 && yy < m) { a.A[cell(xx, yy)][cell(x, y)] = value; } } } int main() { scanf("%d %d %d", &n, &m, &q); k = n * m; Matrix curResult = initMatrix(); Matrix edgeMatrix = initEdgeMatrix(); int lastCat = 1; for (int i = 1; i <= q; i++) { scanf("%d %d %d %d", &type, &x, &y, &t); x--; y--; t--; if (type == 1) { curResult = mul(curResult, power(edgeMatrix, t - lastCat + 1)); printf("%d\n", curResult.A[0][cell(x, y)]); lastCat = t + 1; } else { if (type == 3) { t++; } curResult = mul(curResult, power(edgeMatrix, t - lastCat)); lastCat = t; setCat(edgeMatrix, x, y, (type - 1) / 2); } } return 0; }
#include <bits/stdc++.h> using namespace std; const int mod = 1e9 + 7; const int maxn = 410; long long dp[maxn]; long long newdp[maxn]; bool cat[maxn]; int n, m, q; long long ans[maxn][maxn]; long long tmp[maxn][maxn]; long long tmptmp[maxn][maxn]; int cal(int i, int j) { return (i - 1) * m + j; } int judge(int i, int j) { if (i >= 1 && i <= n && j >= 1 && j <= m && cat[cal(i, j)] == 0) return 1; else return 0; } void work(int t) { for (int i = 1; i <= n * m; i++) for (int j = 1; j <= n * m; j++) tmp[i][j] = 0; for (int i = 1; i <= n; i++) { for (int j = 1; j <= m; j++) { if (judge(i, j)) tmp[cal(i, j)][cal(i, j)] = 1; if (judge(i - 1, j)) tmp[cal(i, j)][cal(i - 1, j)] = 1; if (judge(i + 1, j)) tmp[cal(i, j)][cal(i + 1, j)] = 1; if (judge(i, j - 1)) tmp[cal(i, j)][cal(i, j - 1)] = 1; if (judge(i, j + 1)) tmp[cal(i, j)][cal(i, j + 1)] = 1; } } for (int i = 1; i <= n * m; i++) for (int j = 1; j <= n * m; j++) ans[i][j] = (i == j); while (t) { if (t & 1) { for (int i = 1; i <= n * m; i++) for (int j = 1; j <= n * m; j++) tmptmp[i][j] = 0; for (int i = 1; i <= n * m; i++) for (int j = 1; j <= n * m; j++) for (int k = 1; k <= n * m; k++) tmptmp[i][j] = (tmptmp[i][j] + (ans[i][k] * tmp[k][j]) % mod) % mod; for (int i = 1; i <= n * m; i++) for (int j = 1; j <= n * m; j++) ans[i][j] = tmptmp[i][j]; } t >>= 1; for (int i = 1; i <= n * m; i++) for (int j = 1; j <= n * m; j++) tmptmp[i][j] = 0; for (int i = 1; i <= n * m; i++) for (int j = 1; j <= n * m; j++) for (int k = 1; k <= n * m; k++) tmptmp[i][j] = (tmptmp[i][j] + (tmp[i][k] * tmp[k][j]) % mod) % mod; for (int i = 1; i <= n * m; i++) for (int j = 1; j <= n * m; j++) tmp[i][j] = tmptmp[i][j]; } for (int i = 1; i <= n * m; i++) newdp[i] = 0; for (int i = 1; i <= n * m; i++) for (int j = 1; j <= n * m; j++) newdp[i] = (newdp[i] + (ans[i][j] * dp[j]) % mod) % mod; for (int i = 1; i <= n * m; i++) dp[i] = newdp[i]; } int main() { scanf("%d%d%d", &n, &m, &q); dp[cal(1, 1)] = 1; int time = 1; while (q--) { int flag, x, y, t; scanf("%d%d%d%d", &flag, &x, &y, &t); if (flag == 1) { work(t - time); time = t; printf("%I64d\n", dp[cal(x, y)]); } else if (flag == 2) { work(t - time); time = t; cat[cal(x, y)] = 1; dp[cal(x, y)] = 0; } else { work(t - time); time = t; cat[cal(x, y)] = 0; dp[cal(x, y)] = 0; } } return 0; }
#include <bits/stdc++.h> using namespace std; const int iinf = 0x3f3f3f3f; const long long linf = 0x3f3f3f3f3f3f3f3f; const int N = 20, D = 31; int n, r, c, q; bool ma[N]; vector<pair<int, int>> adj({{0, 0}, {-1, 0}, {1, 0}, {0, -1}, {0, 1}}); const int mod = 1e9 + 7; void fmod(int& first) { first += first >> 31 & mod; } struct Matrix { int a[N][N]; bool isv; Matrix() { for (int i(0); i < (n); ++i) for (int j(0); j < (n); ++j) a[i][j] = 0; isv = false; } void print() { cout << "@Matrix:\n"; for (int i(0); i < (n); ++i) for (int j(0); j < (n); ++j) cout << a[i][j] << " \n"[n - j == 1]; } int* operator[](int i) { return a[i]; } Matrix friend operator*(Matrix u, Matrix v) { Matrix res; if (u.isv) { for (int j(0); j < (n); ++j) for (int t(0); t < (n); ++t) fmod(res[0][j] += 1ll * u[0][t] * v[t][j] % mod - mod); } else { for (int i(0); i < (n); ++i) for (int j(0); j < (n); ++j) for (int t(0); t < (n); ++t) fmod(res[i][j] += 1ll * u[i][t] * v[t][j] % mod - mod); } return res; } } pre, now[D]; int mx; void makemat() { now[0] = Matrix(), mx = 0; for (int i(0); i < (r); ++i) for (int j(0); j < (c); ++j) if (!ma[i * c + j]) for (pair<int, int> d : adj) { int first = i + d.first, second = j + d.second; if (first < 0 || first >= r || second < 0 || second >= c || ma[first * c + second]) continue; now[0][i * c + j][first * c + second] = 1; } } Matrix tonow(int first) { Matrix res(pre); for (int i((D)-1); i >= 0; --i) if (first >> i & 1) { while (mx < i) now[mx + 1] = now[mx] * now[mx], mx++; res = res * now[i]; } return res; } int main() { ios::sync_with_stdio(0); cin.tie(0), cout.tie(0); cin >> r >> c >> q, n = r * c, makemat(); int p = 0; pre[0][0] = 1, pre.isv = true; while (q--) { int o, first, second, t; cin >> o >> first >> second >> t, --o, --first, --second, --t; if (o == 0) cout << (tonow(t - p))[0][first * c + second] << '\n'; else if (o == 1) pre = tonow(t - p), ma[first * c + second] = true, makemat(), p = t; else if (o == 2) pre = tonow(t - p), ma[first * c + second] = false, makemat(), p = t; } return 0; }
#include <bits/stdc++.h> using namespace std; const int mod = 1e9 + 7; int dx[] = {1, -1, 0, 0}, dy[] = {0, 0, 1, -1}; bool cat[25][25]; int n, m, q; class Matrix { public: long long matrix[40][40]; int sz; } way, dp; Matrix mul(Matrix a, Matrix b) { Matrix ans; ans.sz = a.sz; memset(ans.matrix, 0, sizeof ans.matrix); for (int i = 0; i < a.sz; i++) for (int j = 0; j < a.sz; j++) for (int k = 0; k < a.sz; k++) ans.matrix[i][j] = (ans.matrix[i][j] + a.matrix[i][k] * b.matrix[k][j]) % mod; return ans; } Matrix qpow(Matrix mat, int k) { Matrix ans = mat; k--; for (; k; k >>= 1, mat = mul(mat, mat)) if (k & 1) ans = mul(ans, mat); return ans; } int main() { scanf("%d%d%d", &n, &m, &q); int tt = 1; dp.matrix[0][0] = 1; dp.sz = way.sz = n * m; for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { for (int k = 0; k < 4; k++) { int xx = i + dx[k], yy = j + dy[k]; if (xx < 0 || xx >= n || yy < 0 || yy >= m) continue; way.matrix[i * m + j][xx * m + yy] = 1; } way.matrix[i * m + j][i * m + j] = 1; } } for (int i = 0; i < q; i++) { int op, x, y, t; scanf("%d%d%d%d", &op, &x, &y, &t); x--, y--; if (op == 1) { dp = mul(dp, qpow(way, t - tt)); cout << dp.matrix[0][x * m + y] << "\n"; } else if (op == 2) { dp = mul(dp, qpow(way, t - tt)); dp.matrix[0][x * m + y] = 0; way.matrix[x * m + y][x * m + y] = 0; cat[x][y] = 1; for (int j = 0; j < 4; j++) { int xx = x + dx[j], yy = y + dy[j]; if (xx < 0 || xx >= n || yy < 0 || yy >= m) continue; int id1 = x * m + y, id2 = xx * m + yy; way.matrix[id1][id2] = way.matrix[id2][id1] = 0; } } else { dp = mul(dp, qpow(way, t - tt)); cat[x][y] = 0; way.matrix[x * m + y][x * m + y] = 1; for (int j = 0; j < 4; j++) { int xx = x + dx[j], yy = y + dy[j]; if (xx < 0 || xx >= n || yy < 0 || yy >= m) continue; int id1 = x * m + y, id2 = xx * m + yy; if (cat[x][y] == 0 && cat[xx][yy] == 0) way.matrix[id1][id2] = way.matrix[id2][id1] = 1; } } tt = t; } }
#include <bits/stdc++.h> using namespace std; const int N = 10010; const int L = 20 + 3; const long long MOD = 1e9 + 7; const long long MM = 7e18; int f[L][L]; int n, m, q; struct Matrix { int l; long long f[L][L]; Matrix() { memset(f, 0, sizeof(f)), l = 0; } } f1, f2; struct Query { int tp, x, y, t; } g[N]; long long ans[N]; int l[5] = {0, 1, -1, 0, 0}; int r[5] = {0, 0, 0, 1, -1}; void print(Matrix a) { for (int i = 1; i <= a.l; i++) { for (int j = 1; j <= a.l; j++) cout << a.f[i][j] << " "; cout << endl; } cout << "---------" << endl; } Matrix Mul(Matrix x, Matrix y) { Matrix z; z.l = x.l; for (int i = 1; i <= z.l; i++) for (int j = 1; j <= z.l; j++) { z.f[i][j] = 0; for (int k = 1; k <= z.l; k++) { z.f[i][j] += x.f[i][k] * y.f[k][j]; if (z.f[i][j] >= MM) z.f[i][j] %= MOD; } z.f[i][j] %= MOD; } return z; } Matrix initial(int l) { Matrix x; x.l = l; for (int i = 1; i <= l; i++) for (int j = 1; j <= l; j++) x.f[i][j] = (i == j ? 1 : 0); return x; } Matrix ksm(Matrix a, int b) { Matrix x = initial(n * m); while (b > 0) { if (b & 1) x = Mul(x, a); b >>= 1; a = Mul(a, a); } return x; } bool outside(int x, int y) { if (x <= 0 || y <= 0 || x > n || y > m) return true; return false; } void add(int x, int y) { int nx, ny; f2.f[f[x][y]][f[x][y]] = 1; for (int i = 1; i <= 4; i++) { nx = x + l[i], ny = y + r[i]; if (outside(nx, ny)) continue; f2.f[f[nx][ny]][f[x][y]] = 1; } } void del(int x, int y) { int nx, ny; f2.f[f[x][y]][f[x][y]] = 0; for (int i = 1; i <= 4; i++) { nx = x + l[i], ny = y + r[i]; if (outside(nx, ny)) continue; f2.f[f[nx][ny]][f[x][y]] = 0; } } void init() { scanf("%d%d%d", &n, &m, &q); for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++) f[i][j] = (i - 1) * m + j; for (int i = 1; i <= q; i++) scanf("%d%d%d%d", &g[i].tp, &g[i].x, &g[i].y, &g[i].t); f1.l = f2.l = n * m; f1.f[1][1] = 1; for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++) add(i, j); } void work() { int now; g[0].t = 1; for (int i = 1; i <= q; i++) { f1 = Mul(f1, ksm(f2, g[i].t - g[i - 1].t)); now = f[g[i].x][g[i].y]; switch (g[i].tp) { case 1: ans[i] = f1.f[1][now]; ans[i] %= MOD; break; case 2: del(g[i].x, g[i].y); f1.f[1][now] = 0; break; case 3: add(g[i].x, g[i].y); break; default: break; } } for (int i = 1; i <= q; i++) if (g[i].tp == 1) printf("%I64d\n", ans[i]); } int main() { init(); work(); return 0; }
#include <bits/stdc++.h> using namespace std; struct Matrix { vector<vector<long long> > data; long long MOD = 1000000007; int n; Matrix(int n) { this->n = n; data.resize(n); for (int i = 0; i < n; i++) { data[i].resize(n, 0); } } Matrix operator*(Matrix other) { Matrix result(n); for (int i = 0; i < n; i++) for (int j = 0; j < n; j++) for (int k = 0; k < n; k++) { result.data[i][j] += data[i][k] * other.data[k][j]; result.data[i][j] %= MOD; } return result; } }; Matrix bin_pow(Matrix &base, int power) { if (power == 0) { Matrix result(base.data.size()); for (int i = 0; i < result.data.size(); i++) result.data[i][i] = 1; return result; } if (power == 1) return base; if (power % 2 != 0) return bin_pow(base, power - 1) * base; Matrix temp = bin_pow(base, power / 2); return temp * temp; } bool cats[1000]; void set_connection(Matrix &a, int from_i, int from_j, int to_i, int to_j, int value, int n, int m) { if (from_i < 0 || from_j < 0 || from_i >= n || from_j >= m) return; if (to_i < 0 || to_j < 0 || to_i >= n || to_j >= m) return; int index_from = from_i * m + from_j; int index_to = to_i * m + to_j; a.data[index_from][index_to] = value; a.data[index_to][index_from] = value; } void set_connection_uncat(Matrix &a, int from_i, int from_j, int to_i, int to_j, int value, int n, int m) { if (from_i < 0 || from_j < 0 || from_i >= n || from_j >= m) return; if (to_i < 0 || to_j < 0 || to_i >= n || to_j >= m) return; int index_from = from_i * m + from_j; int index_to = to_i * m + to_j; if (!cats[index_to]) a.data[index_from][index_to] = value; a.data[index_to][index_from] = value; } void set_cell(Matrix &a, int i, int j, int value, int n, int m) { set_connection(a, i, j, i - 1, j, value, n, m); set_connection(a, i, j, i, j - 1, value, n, m); set_connection(a, i, j, i + 1, j, value, n, m); set_connection(a, i, j, i, j + 1, value, n, m); set_connection(a, i, j, i, j, value, n, m); } void set_cat(Matrix &a, int i, int j, int value, int n, int m) { cats[i * m + j] = true; set_connection(a, i, j, i - 1, j, value, n, m); set_connection(a, i, j, i, j - 1, value, n, m); set_connection(a, i, j, i + 1, j, value, n, m); set_connection(a, i, j, i, j + 1, value, n, m); set_connection(a, i, j, i, j, value, n, m); } void set_uncat(Matrix &a, int i, int j, int value, int n, int m) { cats[i * m + j] = false; set_connection_uncat(a, i, j, i - 1, j, value, n, m); set_connection_uncat(a, i, j, i, j - 1, value, n, m); set_connection_uncat(a, i, j, i + 1, j, value, n, m); set_connection_uncat(a, i, j, i, j + 1, value, n, m); set_connection_uncat(a, i, j, i, j, value, n, m); } long long get(Matrix &a, int x1, int y1, int x2, int y2, int n, int m) { if (cats[x2 * m + y2]) return 0; return a.data[x1 * m + y1][x2 * m + y2]; } int main() { cin.sync_with_stdio(false); cout.sync_with_stdio(false); int n, m, q; cin >> n >> m >> q; Matrix a(n * m); for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) { set_cell(a, i, j, 1, n, m); } for (int i = 0; i < n * m; i++) cats[i] = false; Matrix current_state(n * m); set_connection(current_state, 0, 0, 0, 0, 1, n, m); int current_time = 1; for (int i = 0; i < q; i++) { int tp, x, y, t; cin >> tp >> x >> y >> t; int delta_t = t - current_time; if (tp == 1) { current_state = current_state * bin_pow(a, delta_t); cout << get(current_state, 0, 0, x - 1, y - 1, n, m) << endl; } if (tp == 2) { delta_t--; current_state = current_state * bin_pow(a, delta_t); current_state = current_state * a; set_cat(a, x - 1, y - 1, 0, n, m); } if (tp == 3) { current_state = current_state * bin_pow(a, delta_t); set_uncat(a, x - 1, y - 1, 1, n, m); } current_time = t; } return 0; }
#include <bits/stdc++.h> using namespace std; long long int mat[45][45] = {0}, id_mat[45][45] = {0}; int total; void copym(long long int s[45][45], long long int des[45][45]) { for (int i = 0; i < 45; i++) for (int j = 0; j < 45; j++) des[i][j] = s[i][j]; } void add(long long int &a, long long int b) { a += b; if (a >= 1000000007) a -= 1000000007; } void mul(long long int d[45][45], long long int mat1[45][45], long long int mat2[45][45]) { for (int i = 0; i < total; i++) for (int j = 0; j < total; j++) d[i][j] = 0; for (int i = 0; i < total; i++) for (int j = 0; j < total; j++) for (int k = 0; k < total; k++) d[i][j] = (d[i][j] + (mat1[i][k] * mat2[k][j])) % 1000000007; } void cal(long long int ret[45][45], long long int t) { if (t == 0) { copym(id_mat, ret); return; } if (t == 1) { copym(mat, ret); return; } cal(ret, t / 2); long long int tem[45][45] = {0}; mul(tem, ret, ret); if (t % 2 == 1) mul(ret, tem, mat); else copym(tem, ret); } pair<int, int> get(int i, int m) { pair<int, int> ret; ret.first = i / m; ret.second = i % m; return ret; } int main() { for (int i = 0; i < 45; i++) id_mat[i][i] = 1; int n, m, q; scanf("%d%d%d", &n, &m, &q); int prevt = 0; total = n * m; long long int ret[45][45] = {0}; copym(id_mat, ret); int cat[45][45] = {0}; while (q--) { for (int i = 0; i < 45; i++) for (int j = 0; j < 45; j++) mat[i][j] = 0; int type, x, y, t; scanf("%d%d%d%d", &type, &x, &y, &t); x--; y--; for (int i = 0; i < total; i++) for (int j = 0; j < total; j++) { pair<int, int> f = get(i, m), s = get(j, m); if (abs(f.first - s.first) + abs(f.second - s.second) <= 1 && !cat[f.first][f.second] && !cat[s.first][s.second]) mat[i][j] = 1; } long long int tem[45][45] = {0}; if (type == 1) { cal(tem, t - prevt - 1); prevt = t - 1; long long int tem1[45][45]; copym(ret, tem1); mul(ret, tem1, tem); printf("%lld\n", ret[0][x * m + y]); } else { cal(tem, t - prevt - 1); prevt = t - 1; long long int tem1[45][45]; copym(ret, tem1); mul(ret, tem1, tem); cat[x][y] = (cat[x][y] + 1) % 2; } } return 0; }
#include <bits/stdc++.h> using namespace std; template <typename T> struct matrix { int N; vector<T> dat; matrix<T>(int _N, T fill = T(0), T diag = T(0)) { N = _N; dat.resize(N * N, fill); for (int i = 0; i < N; i++) (*this)(i, i) = diag; } T &operator()(int i, int j) { return dat[N * i + j]; } matrix<T> operator*(matrix<T> &b) { matrix<T> r(N); for (int i = 0; i < N; i++) for (int j = 0; j < N; j++) for (int k = 0; k < N; k++) r(i, j) = r(i, j) + (*this)(i, k) * b(k, j); return r; } matrix<T> pow(long long expo) { if (!expo) return matrix<T>(N, T(0), T(1)); matrix<T> r = (*this * *this).pow(expo / 2); return expo & 1 ? r * *this : r; } friend ostream &operator<<(ostream &os, matrix<T> &m) { os << "{"; for (int i = 0; i < m.N; i++) { if (i) os << "},\n "; os << "{"; for (int j = 0; j < m.N; j++) { if (j) os << ", "; os << setw(10) << m(i, j) << setw(0); } } return os << "}}"; } }; const int MOD = 1e9 + 7; struct mll { int val; mll(int _val = 0) { val = _val % MOD; if (val < 0) val += MOD; } mll operator+(const mll &o) { return mll((val + o.val) % MOD); } mll operator*(const mll &o) { return mll((val * 1ll * o.val) % MOD); } friend ostream &operator<<(ostream &os, mll &m) { return os << m.val; } }; int N, M, Q; bool cat[20][20]; int dir[5][2] = {{0, 0}, {-1, 0}, {1, 0}, {0, -1}, {0, 1}}; bool go(int i, int j) { if (i < 0 || j < 0 || i >= N || j >= M) return false; return !cat[i][j]; } void advance(matrix<mll> &cur, int steps) { matrix<mll> mul(N * M); for (int i = 0; i < N; i++) { for (int j = 0; j < M; j++) { if (!go(i, j)) continue; for (int d = 0; d < 5; d++) { int ii = i + dir[d][0]; int jj = j + dir[d][1]; if (!go(ii, jj)) continue; mul(i * M + j, ii * M + jj).val++; } } } mul = mul.pow(steps); cur = cur * mul; } int main() { ios_base::sync_with_stdio(false); cin >> N >> M >> Q; matrix<mll> ans(N * M, mll(0), mll(1)); int CT = 1; int T, first, second, TM; for (int i = 0; i < Q; i++) { cin >> T >> first >> second >> TM; first--, second--; if (T == 1) { advance(ans, TM - CT); cout << ans(0, first * M + second) << "\n"; CT = TM; } else { advance(ans, TM - CT); if (T == 2) cat[first][second] = true; else cat[first][second] = false; CT = TM; } } return 0; }
#include <bits/stdc++.h> using namespace std; int n, m, q; int N; struct Mat { long long a[22][22]; Mat() { for (int i = 0; i < N; i++) for (int j = 0; j < N; j++) a[i][j] = 0; } Mat operator*(Mat other) { Mat ret; for (int i = 0; i < N; i++) for (int j = 0; j < N; j++) for (int k = 0; k < N; k++) ret.a[i][j] += a[i][k] * other.a[k][j], ret.a[i][j] %= 1000000007; return ret; } }; Mat dnc(Mat now, int x) { if (x == 0) { Mat ret; for (int i = 0; i < N; i++) ret.a[i][i] = 1; return ret; } return x & 1 ? now * dnc(now * now, x >> 1) : dnc(now * now, x >> 1); } int konv(int x, int y) { if (x < 0 || x >= n || y < 0 || y >= m) return N; return x * m + y; } int main() { scanf("%d %d %d", &n, &m, &q); N = n * m; int bef = 1; Mat kali; vector<int> now; for (int i = 0; i < N; i++) now.push_back(0); now[0] = 1; for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) { kali.a[konv(i, j)][konv(i, j)] = 1; kali.a[konv(i, j)][konv(i - 1, j)] = 1; kali.a[konv(i, j)][konv(i + 1, j)] = 1; kali.a[konv(i, j)][konv(i, j - 1)] = 1; kali.a[konv(i, j)][konv(i, j + 1)] = 1; } int tp, x, y, t; while (q--) { scanf("%d %d %d %d", &tp, &x, &y, &t); x--, y--; Mat tmp = dnc(kali, t - bef); bef = t; vector<int> next; for (int i = 0; i < N; i++) { long long sum = 0; for (int j = 0; j < N; j++) sum += tmp.a[i][j] * now[j], sum %= 1000000007; next.push_back(sum); } now = next; if (tp == 1) { printf("%d\n", now[konv(x, y)]); } else if (tp == 2) { now[konv(x, y)] = 0; kali.a[konv(x, y)][konv(x, y)] = 0; kali.a[konv(x, y)][konv(x - 1, y)] = 0; kali.a[konv(x, y)][konv(x + 1, y)] = 0; kali.a[konv(x, y)][konv(x, y - 1)] = 0; kali.a[konv(x, y)][konv(x, y + 1)] = 0; } else if (tp == 3) { kali.a[konv(x, y)][konv(x, y)] = 1; kali.a[konv(x, y)][konv(x - 1, y)] = 1; kali.a[konv(x, y)][konv(x + 1, y)] = 1; kali.a[konv(x, y)][konv(x, y - 1)] = 1; kali.a[konv(x, y)][konv(x, y + 1)] = 1; } } return 0; }
#include <bits/stdc++.h> using namespace std; const int P = 1e9 + 7; const int M = 25; int tot; struct Mat { int v[M][M]; void clear() { for (int i = 0; i < M; ++i) { for (int j = 0; j < M; ++j) v[i][j] = 0; } } Mat(int x = 1) { clear(); if (x = 1) { for (int i = 0; i < tot; ++i) v[i][i] = 1; } } void operator*=(Mat b) { Mat a = *this; clear(); for (int i = 0; i < tot; ++i) { for (int j = 0; j < tot; ++j) { for (int k = 0; k < tot; ++k) { v[i][j] = (v[i][j] + 1LL * a.v[i][k] * b.v[k][j] % P) % P; } } } } }; int n, m, q; int ID[M][M]; int ans[M]; Mat B(0); void Add(int x, int y) { B.v[ID[x][y]][ID[x][y]] ^= 1; if (x >= 1) B.v[ID[x - 1][y]][ID[x][y]] ^= 1; if (x < n - 1) B.v[ID[x + 1][y]][ID[x][y]] ^= 1; if (y >= 1) B.v[ID[x][y - 1]][ID[x][y]] ^= 1; if (y < m - 1) B.v[ID[x][y + 1]][ID[x][y]] ^= 1; } void calc(int t) { Mat res; Mat x = B; while (t) { if (t & 1) res *= x; x *= x, t >>= 1; } int tmp[M]; for (int i = 0; i < tot; ++i) tmp[i] = ans[i], ans[i] = 0; for (int i = 0; i < tot; ++i) { for (int j = 0; j < tot; ++j) { ans[j] = (ans[j] + 1LL * tmp[i] * res.v[i][j] % P) % P; } } } int main() { cin >> n >> m >> q; for (int i = 0; i < n; ++i) { for (int j = 0; j < m; ++j) ID[i][j] = tot++; } int las = 1; ans[0] = 1; for (int i = 0; i < n; ++i) { for (int j = 0; j < m; ++j) Add(i, j); } for (int i = 0; i < q; ++i) { int k, x, y, t; cin >> k >> x >> y >> t; x--, y--; if (k == 1) { calc(t - las); cout << ans[ID[x][y]] << endl; } else if (k == 2) { calc(t - las - 1); Add(x, y); calc(1); } else { calc(t - las); Add(x, y); } las = t; } }
#include <bits/stdc++.h> using namespace std; const int maxn = 25; const int maxm = maxn * 4 + 10; const int inf = 1e9; const long long mod = 1e9 + 7; int getint() { char c; while ((c = getchar()) && !(c >= '0' && c <= '9') && c != '-') ; int ret = c - '0', sgn = 0; if (c == '-') sgn = 1, ret = 0; while ((c = getchar()) && c >= '0' && c <= '9') ret = ret * 10 + c - '0'; if (sgn) ret = -ret; return ret; } struct matrix { int r, c; long long p[maxn][maxn]; matrix() { memset(p, 0, sizeof(p)); } matrix operator*(matrix a) const { matrix ret; ret.r = r, ret.c = a.c; for (int i = 0; i < r; i++) { for (int j = 0; j < a.c; j++) { for (int k = 0; k < c; k++) { ret.p[i][j] += (p[i][k] * a.p[k][j]) % mod; ret.p[i][j] %= mod; } } } return ret; } void show() { for (int i = 0; i < r; i++) { for (int j = 0; j < c; j++) { cout << p[i][j] << " "; } cout << endl; } } }; matrix m_pow(matrix a, int k) { matrix ans; ans.r = ans.c = a.r; for (int i = 0; i < ans.r; i++) ans.p[i][i] = 1; while (k) { if (k & 1) ans = ans * a; a = a * a; k >>= 1; } return ans; } int dx[4] = {0, 0, -1, 1}, dy[4] = {-1, 1, 0, 0}; matrix mx; int vis[maxn][maxn]; int n, m, t; void update() { memset(mx.p, 0, sizeof(mx.p)); for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { if (vis[i][j]) continue; mx.p[i * m + j][i * m + j] = 1; for (int k = 0; k < 4; k++) { int nx = i + dx[k]; int ny = j + dy[k]; if (nx >= 0 && nx < n && ny >= 0 && ny < m && !vis[nx][ny]) { mx.p[i * m + j][nx * m + ny] = 1; } } } } } int main() { while (scanf("%d%d%d", &n, &m, &t) == 3) { memset(vis, 0, sizeof(vis)); mx.r = mx.c = n * m; matrix st; st.r = n * m, st.c = 1; st.p[0][0] = 1; int cur = 1; while (t--) { int op = getint(), x = getint(), y = getint(), tt = getint(); x--, y--; if (op == 1) { update(); st = m_pow(mx, tt - cur) * st; cur = tt; cout << st.p[x * m + y][0] << endl; } else { update(); st = m_pow(mx, tt - cur) * st; cur = tt; if (op == 2) st.p[x * m + y][0] = 0; vis[x][y] = op == 2; } } } return 0; }
#include <bits/stdc++.h> using namespace std; int n, m, q; struct matrix { int row, col; long long int mat[20][20]; matrix() { for (int i = 0; i < 20; i++) for (int j = 0; j < 20; j++) { mat[i][j] = 0; } } matrix(int r, int c, bool identity = false) { row = r; col = c; for (int i = 0; i < 20; i++) for (int j = 0; j < 20; j++) { if (i == j && identity) mat[i][j] = 1; else mat[i][j] = 0; } } matrix operator*(matrix &o) { matrix ans = matrix(this->row, o.col); for (int i = 0; i < this->row; i++) for (int j = 0; j < o.col; j++) { ans.mat[i][j] = 0; for (int z = 0; z < this->col; z++) ans.mat[i][j] = (ans.mat[i][j] + 1ll * mat[i][z] * o.mat[z][j]) % ((int)1e9 + 7); } return ans; } void show() { for (int i = 0; i < row; i++) { for (int j = 0; j < col; j++) printf("%lld ", mat[i][j]); printf("\n"); } cout << "\n"; } void operator=(const matrix &o) { for (int i = 0; i < o.row; i++) for (int j = 0; j < col; j++) this->mat[i][j] = o.mat[i][j]; } }; matrix power(matrix mat, int n) { if (n == 0) { int row = mat.row; int col = mat.col; matrix temp(row, col, true); return temp; } if (n % 2 == 0) { matrix temp = power(mat, n / 2); return temp * temp; } else { matrix ans = power(mat, n - 1); return mat * ans; } } int main() { ios_base::sync_with_stdio(false); cin.tie(nullptr); cin >> n >> m >> q; int curr = 1; int mask = 0; int obj = n * m; matrix start(obj, 1); start.mat[0][0] = 1; int types[10502], xs[10502], ys[10502], ts[10502]; for (int i = 1; i < q + 1; i++) { cin >> types[i] >> xs[i] >> ys[i] >> ts[i]; } types[0] = 1, xs[0] = 1, ys[0] = 1, ts[0] = ts[1] - 1; for (int i = 0; i < q + 1; i++) { int type = types[i], x = xs[i], y = ys[i], t = ts[i]; x--, y--; int diff = t - curr - 1; if (diff < 0) continue; curr = curr + diff; matrix mat(obj, obj); for (int to = 0; to < obj; to++) { if (!(mask & (1 << to))) { int x = to / m, y = to % m; for (int from = 0; from < obj; from++) { int x1 = (from / m), y1 = from % m; if (abs(x - x1) + abs(y - y1) <= 1 && !(mask & (1 << from))) { mat.mat[to][from] = 1; } } } else { } } start = power(mat, diff) * start; long long int ans = 0; if (1) { int nMask = mask; if (type == 2) nMask = mask | (1 << (x * m + y)); matrix nstart(obj, 1); for (int from = 0; from < obj; from++) { int a = from / m, b = from % m; for (int to = 0; to < obj; to++) { int c = to / m, d = to % m; if (abs(a - c) + abs(d - b) <= 1 && !(nMask & (1 << to))) { nstart.mat[to][0] = (nstart.mat[to][0] + start.mat[from][0]) % ((int)1e9 + 7); } } } if (type == 3) nMask = mask ^ (1 << (x * m + y)); curr++; mask = nMask; for (int j = 0; j < obj; j++) for (int k = 0; k < obj; k++) start.mat[j][0] = nstart.mat[j][0]; } if (type == 1 && i != 0) { ans = start.mat[x * m + y][0]; cout << ans << endl; } } return 0; }
#include <bits/stdc++.h> using namespace std; int n, m, q; long long ways[2][20][20] = {0}; bool cats[20][20] = {0}; long long moves[32][20][20] = {0}; void init() { for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { for (int k = 0; k < n; k++) { for (int l = 0; l < m; l++) { moves[0][m * i + j][m * k + l] = abs(k - i) + abs(l - j) <= 1 && !cats[k][l]; } } } } } void mult(long long m1[20][20], long long m2[20][20], long long r[20][20], bool lazy) { for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) for (int k = 0; k < n; k++) for (int l = 0; l < m; l++) r[m * i + j][m * k + l] = 0; if (!lazy) { for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { for (int k = 0; k < n; k++) { for (int l = 0; l < m; l++) { for (int o = 0; o < n; o++) { for (int p = 0; p < m; p++) { r[m * i + j][m * o + p] = (((r[m * i + j][m * o + p]) + (((m1[m * i + j][m * k + l]) * (m2[m * k + l][m * o + p]) % 1000000007))) % 1000000007); } } } } } } } else { for (int k = 0; k < n; k++) { for (int l = 0; l < m; l++) { for (int o = 0; o < n; o++) { for (int p = 0; p < m; p++) { r[0][m * o + p] = (((r[0][m * o + p]) + (((m1[0][m * k + l]) * (m2[m * k + l][m * o + p]) % 1000000007))) % 1000000007); } } } } } } int main() { scanf("%d %d %d", &n, &m, &q); init(); ways[0][0][0] = 1; bool par = 0; int start = 1; for (int i = 0; i < q; i++) { int ty, x, y, t; scanf("%d %d %d %d", &ty, &x, &y, &t); x--; y--; int ahead = t - start; start = t; for (int j = 0; (ahead >> j) != 0; j++) { if (j >= 1) mult(moves[j - 1], moves[j - 1], moves[j], 0); if ((ahead >> j) & 1) { mult(ways[par], moves[j], ways[!par], 1); par = !par; } } if (ty == 1) { long long sum = 0; cout << ways[par][0][m * x + y] << '\n'; } else if (ty == 2) { cats[x][y] = 1; init(); for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) ways[par][m * i + j][m * x + y] = 0; } } else { cats[x][y] = 0; init(); } } }
#include <bits/stdc++.h> using namespace std; const long long mod = 1000000007; struct sett { long long k[50][50]; } ans, base; long long N, n, m, q; long long mp[25][25]; sett mul(sett a, sett b) { sett c; memset(c.k, 0, sizeof(c.k)); for (long long i = 1; i <= N; i++) for (long long r = 1; r <= N; r++) for (long long p = 1; p <= N; p++) c.k[i][r] = (c.k[i][r] + a.k[i][p] * b.k[p][r]) % mod; return c; } void qpow(long long b) { for (; b; b >>= 1, base = mul(base, base)) if (b & 1) ans = mul(base, ans); } void build() { for (long long i = 1; i <= N; i++) for (long long r = 1; r <= N; r++) { long long a = ((i - 1) / m) + 1, b = (i - 1) % m + 1; long long A = ((r - 1) / m) + 1, B = (r - 1) % m + 1; long long dist = abs(A - a) + abs(B - b); if (mp[a][b] == 0 && mp[A][B] == 0 && dist <= 1) base.k[i][r] = 1; else base.k[i][r] = 0; } } signed main() { scanf("%lld%lld%lld", &n, &m, &q); N = n * m; ans.k[1][1] = 1; long long plk = 1; while (q--) { build(); long long op, x, y, t; scanf("%lld%lld%lld%lld", &op, &x, &y, &t); qpow(t - plk); plk = t; if (op == 2) ans.k[(x - 1) * m + y][1] = 0, mp[x][y] = 1; if (op == 3) ans.k[(x - 1) * m + y][1] = 0, mp[x][y] = 0; if (op == 1) printf("%lld\n", ans.k[(x - 1) * m + y][1]); } }
#include <bits/stdc++.h> using namespace std; long long mat[411][411], cur[411][411]; long long y[411][411], c[411][411], d[411], ans[411]; int sz, mark[411], orgmat[411][411]; void multiply(long long a[][411], long long b[][411]) { int i, j, k; for (i = 0; i < sz; i++) for (j = 0; j < sz; j++) { c[i][j] = 0; for (k = 0; k < sz; k++) c[i][j] = (c[i][j] + (a[i][k] * b[k][j])) % 1000000007LL; } for (i = 0; i < sz; i++) for (j = 0; j < sz; j++) a[i][j] = c[i][j]; } void mul(int b) { int i, j; for (i = 0; i < sz; i++) for (j = 0; j < sz; j++) if (i == j) cur[i][j] = 1; else cur[i][j] = 0; for (i = 0; i < sz; i++) for (j = 0; j < sz; j++) y[i][j] = mat[i][j]; while (b > 0) { if (b & 1) multiply(cur, y); multiply(y, y); b /= 2; } for (i = 0; i < sz; i++) { d[i] = 0LL; for (j = 0; j < sz; j++) d[i] = (d[i] + (ans[j] * cur[j][i])) % 1000000007LL; } for (i = 0; i < sz; i++) ans[i] = d[i]; } int main() { int n, m, q, i, j; scanf("%d %d %d", &n, &m, &q); sz = n * m; for (i = 0; i < sz; i++) { for (j = 0; j < sz; j++) { int r1 = i / m, r2 = j / m, c1 = i % m, c2 = j % m; if ((abs(r1 - r2) + abs(c1 - c2)) <= 1) mat[j][i] = 1, orgmat[i][j] = 1; } } ans[0] = 1LL; for (i = 1; i < sz; i++) ans[i] = 0LL; int prev = 1; while (q--) { int ty, i, j, t; scanf("%d %d %d %d", &ty, &i, &j, &t); mul(t - prev); prev = t; i--; j--; if (ty == 1) printf("%lld\n", ans[i * m + j]); else if (ty == 2) { i = i * m + j; for (int k = 0; k < sz; k++) mat[k][i] = 0; for (int k = 0; k < sz; k++) mat[i][k] = 0; mark[i] = 1; ans[i] = 0LL; } else { i = i * m + j; mark[i] = 0; for (int k = 0; k < sz; k++) if (mark[k] == 0) mat[k][i] = orgmat[i][k]; for (int k = 0; k < sz; k++) if (mark[k] == 0) mat[i][k] = orgmat[i][k]; } } return 0; }
#include <bits/stdc++.h> #pragma GCC target("avx,avx2") #pragma GCC optimize("O3") int get_id() { static int id = 0; return id++; } template <typename T> struct Matrix { private: T *data; size_t m_size; int id; public: Matrix() : data(nullptr) {} Matrix(size_t size) : data(new T[size * size]), m_size(size) { std::fill(data, data + m_size * m_size, T()); } Matrix(const Matrix &other) { m_size = other.m_size; data = new T[m_size * m_size]; std::copy(other.data, other.data + m_size * m_size, data); } Matrix(Matrix &&other) { m_size = other.m_size; data = new T[m_size * m_size]; std::copy(other.data, other.data + m_size * m_size, data); } void operator=(Matrix &&other) { this->~Matrix(); m_size = other.m_size; data = new T[m_size * m_size]; std::copy(other.data, other.data + m_size * m_size, data); } inline T *operator[](size_t pos) { if (pos >= m_size) { exit(34526); } return data + pos * m_size; } inline const T *operator[](size_t pos) const { if (pos >= m_size) { exit(34526); } return data + pos * m_size; } size_t size() const { return m_size; } ~Matrix() { if (data != nullptr) { delete[] data; } else { } } }; constexpr int mod = 1e9 + 7; Matrix<uint32_t> operator*(const Matrix<uint32_t> &a, const Matrix<uint32_t> &b) { if (a.size() != b.size()) { exit(325); } size_t n = a.size(); Matrix<uint32_t> res(n); for (int i = 0; i < n; i++) { std::fill(res[i], res[i] + n, 0u); } for (int i = 0; i < n; i++) { for (int j = 0; j < n; j++) { for (int k = 0; k < n; k++) { res[i][j] = (res[i][j] + a[i][k] * 1ull * b[k][j]) % mod; } } } return res; } template <typename T> T power(T base, uint64_t exp) { if (exp == 0) { exit(325352); } exp--; T res = base; for (uint64_t k = 0; (1ull << k) <= exp; k++) { if ((exp >> k) & 1) { res = res * base; } base = base * base; } return res; } int n, m, q; uint32_t cnt[25], cnt2[25]; bool cat[25]; Matrix<uint32_t> get() { Matrix<uint32_t> res(n * m); for (int i = 0; i < (n * m); i++) { for (int j = 0; j < (n * m); j++) { if (cat[i] || cat[j]) { res[i][j] = 0; continue; } int x1 = i / m, y1 = i % m; int x2 = j / m, y2 = j % m; res[i][j] = 0; res[i][j] += i == j; res[i][j] += (x1 == x2) && (((y1 - y2) == 1) || ((y1 - y2) == -1)); res[i][j] += (y1 == y2) && (((x1 - x2) == 1) || ((x1 - x2) == -1)); } } return res; } int32_t main() { std::ios_base::sync_with_stdio(false); std::cin.tie(0); std::cout.tie(0); std::cin >> n >> m >> q; cnt[0] = 1; int lastTime = 1; for (int qr = 0; qr < q; qr++) { int type, x, y, time; std::cin >> type >> x >> y >> time; x--; y--; int p = x * m + y; if (type > 1) { Matrix<uint32_t> chg = get(); if (lastTime == time) { ; } else { chg = power(chg, time - lastTime); std::fill(cnt2, cnt2 + n * m, 0); for (int i = 0; i < (n * m); i++) { for (int j = 0; j < (n * m); j++) { cnt2[j] = (cnt2[j] + chg[i][j] * 1ull * cnt[i]) % mod; } } std::copy(cnt2, cnt2 + n * m, cnt); } if (type == 2) { cat[p] = true; cnt[p] = 0; } else { cat[p] = false; } } else { Matrix<uint32_t> chg = get(); if (lastTime == time) { ; } else { chg = power(chg, time - lastTime); std::fill(cnt2, cnt2 + n * m, 0); for (int i = 0; i < (n * m); i++) { for (int j = 0; j < (n * m); j++) { cnt2[j] = (cnt2[j] + chg[i][j] * 1ull * cnt[i]) % mod; } } std::copy(cnt2, cnt2 + n * m, cnt); } std::cout << cnt[x * m + y] << '\n'; } lastTime = time; } std::cout.flush(); return 0; }
#include <bits/stdc++.h> using namespace std; const int max_n = 22, max_q = 11111, mod = 1000000007; struct matrix { vector<vector<int> > v; matrix() {} matrix(int n, int m) { v.resize(n, vector<int>(m, 0)); } matrix operator*(const matrix &m) const { matrix res(v.size(), m.v[0].size()); for (int i = 0; i < res.v.size(); ++i) { for (int j = 0; j < res.v[i].size(); ++j) { for (int k = 0; k < v[i].size(); ++k) { res.v[i][j] += (1LL * v[i][k] * m.v[k][j]) % mod; res.v[i][j] %= mod; } } } return res; } }; matrix power(matrix a, int b) { if (b == 0) { matrix res(a.v.size(), a.v.size()); for (int i = 0; i < res.v.size(); ++i) { res.v[i][i] = 1; } return res; } if (b % 2 == 0) { return power(a * a, b / 2); } return a * power(a, b - 1); } const int dx[] = {-1, 1, 0, 0, 0}; const int dy[] = {0, 0, -1, 1, 0}; int n, m, q, tp[max_q], x[max_q], y[max_q], t[max_q], f[max_q], a[max_n][max_n]; matrix dp, p; bool is_in(int x, int y) { return 0 <= x && 0 <= y && x < n && y < m; } void get_p() { for (int i = 0; i < n; ++i) { for (int j = 0; j < m; ++j) { for (int k = 0; k < 5; ++k) { int x = i + dx[k]; int y = j + dy[k]; if (is_in(x, y)) { p.v[i * m + j][x * m + y] = 0; if (a[x][y] == 0) { p.v[i * m + j][x * m + y] = 1; } } } } } } int main() { scanf("%d%d%d", &n, &m, &q); for (int i = 0; i < q; ++i) { scanf("%d%d%d%d", &tp[i], &x[i], &y[i], &t[i]); --x[i]; --y[i]; if (tp[i] == 3) { ++t[i]; } } dp = matrix(1, n * m); p = matrix(n * m, n * m); get_p(); dp.v[0][0] = 1; int nt = 1; for (int i = 0; i < q; ++i) { if (t[i] != nt) { dp = dp * power(p, t[i] - nt - 1); } while (i + 1 < q && t[i] == t[i + 1]) { if (tp[i] == 2) { a[x[i]][y[i]] = 1; } if (tp[i] == 3) { a[x[i]][y[i]] = 0; } ++i; } if (tp[i] == 2) { a[x[i]][y[i]] = 1; } if (tp[i] == 3) { a[x[i]][y[i]] = 0; } get_p(); if (t[i] != nt) { dp = dp * p; } nt = t[i]; if (tp[i] == 1) { printf("%d\n", dp.v[0][x[i] * m + y[i]]); } } return 0; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 20, mod = 1000000007; const int kombX[4] = {0, 0, 1, -1}; const int kombY[4] = {1, -1, 0, 0}; inline int add(int a, int b) { return (a + b) % mod; } inline int mul(int a, int b) { return ((long long int)a * b) % mod; } int n, m, q, trenutno = 1, N; int mat[MAXN][MAXN]; int stanje[MAXN][MAXN]; int glavna[MAXN][MAXN], prijelaz[MAXN][MAXN], pomoc[MAXN][MAXN]; void postavi() { N = n * m; stanje[0][0] = 1; } int moze(int x, int y) { if (x < 0 || y < 0 || x >= n || y >= m) return 0; if (mat[x][y]) return 0; return 1; } void slozi() { memset(glavna, 0, sizeof(glavna)); for (int i = 0; i < N; i++) glavna[i][i] = 1; memset(prijelaz, 0, sizeof(prijelaz)); for (int i = 0; i < N; i++) { int x = i / m; int y = i % m; if (mat[x][y] == 1) continue; prijelaz[i][i] = 1; for (int j = 0; j < 4; j++) { int kamo_x = x + kombX[j]; int kamo_y = y + kombY[j]; if (moze(kamo_x, kamo_y)) { int v = kamo_x * m + kamo_y; prijelaz[i][v] = 1; } } } } void mnozi(int a[MAXN][MAXN], int b[MAXN][MAXN]) { memset(pomoc, 0, sizeof(pomoc)); for (int i = 0; i < N; i++) for (int j = 0; j < N; j++) for (int k = 0; k < N; k++) pomoc[i][j] = add(pomoc[i][j], mul(a[i][k], b[k][j])); for (int i = 0; i < N; i++) for (int j = 0; j < N; j++) a[i][j] = pomoc[i][j]; } void potenciraj(int x) { while (x) { if (x & 1) mnozi(glavna, prijelaz); mnozi(prijelaz, prijelaz); x /= 2; } } void obradi(int t) { slozi(); potenciraj(t - trenutno); trenutno = t; mnozi(stanje, glavna); } int upit(int x, int y, int t) { obradi(t); int ret = 0; int trebam = x * m + y; return stanje[0][trebam]; } void dodaj(int x, int y, int t) { obradi(t); mat[x][y] = 1; } void makni(int x, int y, int t) { obradi(t); mat[x][y] = 0; } int main() { scanf("%d %d %d", &n, &m, &q); postavi(); for (int br = 0; br < q; br++) { int tip; scanf("%d", &tip); int x, y, t; scanf("%d %d %d", &x, &y, &t); x--; y--; if (tip == 1) printf("%d\n", upit(x, y, t)); else if (tip == 2) dodaj(x, y, t); else if (tip == 3) makni(x, y, t); } return 0; }
#include <bits/stdc++.h> using namespace std; bool cats[21][21]; struct matrix { int column, row; long long grid[21][21]; }; const int MOD = 1000000007; void matrix_prod(const matrix& matrix1, const matrix& matrix2, matrix& new_matrix) { if (matrix1.column != matrix2.row) { new_matrix.column = 0; new_matrix.row = 0; return; } new_matrix.column = matrix2.column; new_matrix.row = matrix1.row; for (int i = 0; i < matrix1.row; i++) { for (int j = 0; j < matrix2.column; j++) { long long cur = 0; for (int k = 0; k < matrix1.column; k++) { cur += matrix1.grid[i][k] * matrix2.grid[k][j]; cur %= MOD; } new_matrix.grid[i][j] = cur % MOD; } } return; } matrix matrix_exp(const matrix& base_matrix, long long exp) { matrix new_matrix; if (exp == 0) { new_matrix.column = base_matrix.column; new_matrix.row = base_matrix.row; for (int i = 0; i < new_matrix.row; i++) { for (int j = 0; j < new_matrix.column; j++) { if (j == i) { new_matrix.grid[i][j] = 1; } else { new_matrix.grid[i][j] = 0; } } } return new_matrix; } if (exp == 1) { return base_matrix; } matrix matrix_squared; matrix_squared.column = base_matrix.column; matrix_squared.row = base_matrix.row; matrix_prod(base_matrix, base_matrix, matrix_squared); if (exp % 2 == 0) { return matrix_exp(matrix_squared, exp / 2); } else { matrix_prod(base_matrix, matrix_exp(matrix_squared, exp / 2), new_matrix); return new_matrix; } } int main() { ios::sync_with_stdio(false); int n, m, q; cin >> n >> m >> q; matrix A; A.row = n * m; A.column = n * m; memset(&(A.grid), 0, sizeof(A.grid)); for (int i = 0; i < n * m; i++) { A.grid[i][i] = 1; if (i % m != m - 1) { A.grid[i][i + 1] = 1; A.grid[i + 1][i] = 1; } if (i + m < n * m) { A.grid[i][i + m] = 1; A.grid[i + m][i] = 1; } } int input[10001][4]; for (int i = 0; i < q; i++) { cin >> input[i][0] >> input[i][2] >> input[i][1] >> input[i][3]; --input[i][1]; --input[i][2]; } matrix dp1, dp2; dp1.column = 1; dp1.row = n * m; dp2.column = 1; dp2.row = n * m; memset(&(dp1.grid), 0, sizeof(dp1.grid)); dp1.grid[0][0] = 1; matrix_prod(matrix_exp(A, input[0][3] - 1), dp1, dp2); for (int i = 0; i < q - 1; i++) { if (input[i][0] == 1) { if (i % 2 == 0) { cout << dp2.grid[input[i][1] + input[i][2] * m][0] << "\n"; } else { cout << dp1.grid[input[i][1] + input[i][2] * m][0] << "\n"; } } else if (input[i][0] == 2) { cats[input[i][1]][input[i][2]] = true; for (int j = 0; j < n * m; j++) A.grid[input[i][1] + input[i][2] * m][j] = 0; for (int j = 0; j < n * m; j++) A.grid[j][input[i][1] + input[i][2] * m] = 0; } else { cats[input[i][1]][input[i][2]] = false; int x = input[i][1] + input[i][2] * m; A.grid[x][x] = 1; if (input[i][1] != m - 1 && !cats[input[i][1] + 1][input[i][2]]) { A.grid[x][x + 1] = 1; A.grid[x + 1][x] = 1; } if (input[i][1] != 0 && !cats[input[i][1] - 1][input[i][2]]) { A.grid[x][x - 1] = 1; A.grid[x - 1][x] = 1; } if (input[i][2] != n - 1 && !cats[input[i][1]][input[i][2] + 1]) { A.grid[x][x + m] = 1; A.grid[x + m][x] = 1; } if (input[i][2] != 0 && !cats[input[i][1]][input[i][2] - 1]) { A.grid[x][x - m] = 1; A.grid[x - m][x] = 1; } } if (i % 2 == 0) { matrix_prod(matrix_exp(A, input[i + 1][3] - input[i][3]), dp2, dp1); } else { matrix_prod(matrix_exp(A, input[i + 1][3] - input[i][3]), dp1, dp2); } } if (input[q - 1][0] == 1) { if ((q - 1) % 2 == 0) { cout << dp2.grid[input[q - 1][1] + input[q - 1][2] * m][0]; } else { cout << dp1.grid[input[q - 1][1] + input[q - 1][2] * m][0]; } } return 0; }
#include <bits/stdc++.h> using namespace std; const int mxn = 20; int adjl[20][20]; long long res[20][20]; long long ansm[20][20]; long long prod[20][20]; int n, m, k; int mod = 1e9 + 7; struct event { int ty, x, y, time, ind; }; bool compare(event a, event b) { return a.time == b.time ? a.ty < b.ty : a.time < b.time; } void mul(long long a[][mxn], long long b[][mxn]) { memset(res, 0, sizeof res); for (int i = 0; i < n * m; i++) { for (int j = 0; j < n * m; j++) { for (int k = 0; k < n * m; k++) { res[i][j] = (res[i][j] + a[i][k] * b[k][j]) % mod; } } } } void mult(long long a[][mxn], int t) { memset(prod, 0, sizeof prod); for (int i = 0; i < n * m; i++) { prod[i][i] = 1; } while (t > 0) { if ((t & 1) == 0) { mul(a, a); for (int i = 0; i < n * m; i++) { for (int j = 0; j < n * m; j++) { a[i][j] = res[i][j]; } } t >>= 1; } else { mul(prod, a); for (int i = 0; i < n * m; i++) { for (int j = 0; j < n * m; j++) { prod[i][j] = res[i][j]; } } t--; } } } event evnts[10001]; int main() { cin >> n >> m >> k; int red = 0; for (int i = 0; i < k; i++) { int ty, x, y, time; cin >> ty >> x >> y >> time; if (ty == 1) red++; evnts[i] = {ty, x - 1, y - 1, time, red - 1}; } int c[n][m]; int r = 0; for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { c[i][j] = r++; } } int dx[5] = {-1, 1, 0, 0, 0}; int dy[5] = {0, 0, -1, 1, 0}; for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { for (int d = 0; d < 5; d++) { if (i + dx[d] >= 0 && i + dx[d] < n && j + dy[d] >= 0 && j + dy[d] < m) { adjl[c[i][j]][c[i + dx[d]][j + dy[d]]]++; } } } } long long ans[red]; for (int i = 0; i < n * m; i++) { ansm[i][i] = 1; } int lasttime = 1; bool free[20]; for (int i = 0; i < 20; i++) { free[i] = 1; } for (int i = 0; i < k; i++) { event ev = evnts[i]; if (ev.ty == 1) { long long cpy[mxn][mxn]; for (int i = 0; i < n * m; i++) { for (int j = 0; j < n * m; j++) { cpy[i][j] = adjl[i][j]; } } mult(cpy, ev.time - lasttime); for (int i = 0; i < n * m; i++) { for (int j = 0; j < n * m; j++) { cpy[i][j] = res[i][j]; } } mul(ansm, cpy); for (int i = 0; i < n * m; i++) { for (int j = 0; j < n * m; j++) { ansm[i][j] = res[i][j]; } } ans[ev.ind] = ansm[0][c[ev.x][ev.y]]; lasttime = ev.time; } else if (ev.ty == 3) { long long cpy[mxn][mxn]; for (int i = 0; i < n * m; i++) { for (int j = 0; j < n * m; j++) { cpy[i][j] = adjl[i][j]; } } mult(cpy, ev.time - lasttime); for (int i = 0; i < n * m; i++) { for (int j = 0; j < n * m; j++) { cpy[i][j] = res[i][j]; } } mul(ansm, cpy); for (int i = 0; i < n * m; i++) { for (int j = 0; j < n * m; j++) { ansm[i][j] = res[i][j]; } } free[c[ev.x][ev.y]] = true; for (int d = 0; d < 5; d++) { if (ev.x + dx[d] >= 0 && ev.x + dx[d] < n && ev.y + dy[d] >= 0 && ev.y + dy[d] < m) { if (free[c[ev.x + dx[d]][ev.y + dy[d]]]) { adjl[c[ev.x][ev.y]][c[ev.x + dx[d]][ev.y + dy[d]]] = 1; adjl[c[ev.x + dx[d]][ev.y + dy[d]]][c[ev.x][ev.y]] = 1; } } } lasttime = ev.time; } else { long long cpy[mxn][mxn]; for (int i = 0; i < n * m; i++) { for (int j = 0; j < n * m; j++) { cpy[i][j] = adjl[i][j]; } } mult(cpy, ev.time - lasttime); for (int i = 0; i < n * m; i++) { for (int j = 0; j < n * m; j++) { cpy[i][j] = res[i][j]; } } mul(ansm, cpy); for (int i = 0; i < n * m; i++) { for (int j = 0; j < n * m; j++) { ansm[i][j] = res[i][j]; } } free[c[ev.x][ev.y]] = false; for (int d = 0; d < 5; d++) { if (ev.x + dx[d] >= 0 && ev.x + dx[d] < n && ev.y + dy[d] >= 0 && ev.y + dy[d] < m) { adjl[c[ev.x][ev.y]][c[ev.x + dx[d]][ev.y + dy[d]]] = 0; adjl[c[ev.x + dx[d]][ev.y + dy[d]]][c[ev.x][ev.y]] = 0; } } lasttime = ev.time; } } for (int i = 0; i < red; i++) { cout << ans[i] << endl; } }
#include <bits/stdc++.h> #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #pragma comment(linker, "/STACK:2000000") using namespace std; template <int D, typename T> struct Vec : public vector<Vec<D - 1, T>> { static_assert(D >= 1, "Vector dimension must be greater than zero!"); template <typename... Args> Vec(int n = 0, Args... args) : vector<Vec<D - 1, T>>(n, Vec<D - 1, T>(args...)) {} }; template <typename T> struct Vec<1, T> : public vector<T> { Vec(int n = 0, T val = T()) : vector<T>(n, val) {} }; using ll = long long; using db = long double; using ii = pair<int, int>; const int N = 2e5 + 5, LG = 19, MOD = 1e9 + 7; const int SQ = 320; const long double EPS = 1e-7; int n, m, q; struct MAT { int a[22][22]; MAT(int r = 0) { memset(a, 0, sizeof a); for (int i = 0; i < 22; i++) a[i][i] = r; } MAT operator*(MAT b) { MAT res = MAT(); for (int k = 0; k < 22; k++) for (int i = 0; i < 22; i++) for (int j = 0; j < 22; j++) res.a[i][j] = (res.a[i][j] + 1ll * a[i][k] * b.a[k][j]) % MOD; return res; } }; MAT fast(MAT b, int e) { MAT res = MAT(1); for (; e; e >>= 1, b = b * b) if (e & 1) { res = res * b; } return res; } int getHash(int x, int y) { return x * m + y; } bool cat[22][22]; bool in(int x, int y) { return x >= 0 && y >= 0 && x < n && y < m; } MAT build() { MAT res = MAT(); static const int dx[] = {-1, 1, 0, 0}; static const int dy[] = {0, 0, -1, 1}; for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) { res.a[getHash(i, j)][getHash(i, j)] = 1; for (int k = 0; k < 4; k++) { int ni = i + dx[k]; int nj = j + dy[k]; if (in(ni, nj) && !cat[ni][nj]) { res.a[getHash(i, j)][getHash(ni, nj)] = 1; } } } return res; } int poss[22]; int32_t main() { ios_base::sync_with_stdio(0); cin.tie(0); cin >> n >> m >> q; int curT = 1; MAT cur = build(); poss[getHash(0, 0)] = 1; for (int i = 0; i < q; i++) { int tp, x, y, t; cin >> tp >> x >> y >> t; --x, --y; MAT HE5A = fast(cur, t - curT - 1); curT = t; int tmp[22] = {}; for (int i = 0; i < n * m; i++) for (int j = 0; j < n * m; j++) if (!cat[j / m][j % m]) { tmp[j] = (tmp[j] + 1ll * poss[i] * HE5A.a[i][j]) % MOD; } for (int i = 0; i < n * m; i++) poss[i] = tmp[i]; if (tp == 2) { memset(tmp, 0, sizeof tmp); cat[x][y] ^= 1; cur = build(); for (int i = 0; i < n * m; i++) for (int j = 0; j < n * m; j++) if (!cat[j / m][j % m]) { tmp[j] = (tmp[j] + 1ll * poss[i] * cur.a[i][j]) % MOD; } for (int i = 0; i < n * m; i++) poss[i] = tmp[i]; } else if (tp == 3) { memset(tmp, 0, sizeof tmp); for (int i = 0; i < n * m; i++) for (int j = 0; j < n * m; j++) if (!cat[j / m][j % m]) { tmp[j] = (tmp[j] + 1ll * poss[i] * cur.a[i][j]) % MOD; } cat[x][y] ^= 1; cur = build(); for (int i = 0; i < n * m; i++) poss[i] = tmp[i]; } else { memset(tmp, 0, sizeof tmp); for (int i = 0; i < n * m; i++) for (int j = 0; j < n * m; j++) if (!cat[j / m][j % m]) { tmp[j] = (tmp[j] + 1ll * poss[i] * cur.a[i][j]) % MOD; } for (int i = 0; i < n * m; i++) poss[i] = tmp[i]; cout << poss[getHash(x, y)] << '\n'; } } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 20 + 5, P = 1e9 + 7; struct matrix { int dp[N][N]; matrix(int x = 1) { memset(dp, 0, sizeof dp); for (int i = 0; i < N; i++) dp[i][i] = x; } inline void set(int i, int j, int x = 1) { dp[i][j] = dp[j][i] = x; } inline matrix operator*(const matrix &a) const { matrix ans(0); for (int i = 0; i < N; i++) for (int j = 0; j < N; j++) for (int k = 0; k < N; k++) (ans.dp[i][j] += 1LL * dp[i][k] * a.dp[k][j] % P) %= P; return ans; } matrix operator^(const int &k) const { return k ? ((*this * *this) ^ (k / 2)) * (k & 1 ? *this : matrix()) : matrix(); } } ed, dp; int n, m, q, mark[N]; inline int id(int i, int j) { return i * m + j; } inline void flip(int x, int y) { ed.set(id(x, y), id(x, y), mark[id(x, y)]), mark[id(x, y)] ^= 1; for (auto i : {-1, 1}) { if (x + i >= 0 && x + i < n) ed.set(id(x, y), id(x + i, y), !mark[id(x, y)] && !mark[id(x + i, y)]); if (y + i >= 0 && y + i < m) ed.set(id(x, y), id(x, y + i), !mark[id(x, y)] && !mark[id(x, y + i)]); } } int main() { ios::sync_with_stdio(0), cin.tie(0), cout.tie(0); cin >> n >> m >> q; for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) for (int x : {-1, 1}) { if (i + x >= 0 && i + x < n) ed.set(id(i, j), id(i + x, j)); if (j + x >= 0 && j + x < m) ed.set(id(i, j), id(i, j + x)); } for (int prv = 1; q; q--) { int tp, x, y, t; cin >> tp >> x >> y >> t; x--, y--, dp = dp * (ed ^ t - prv), prv = t; if (--tp) flip(x, y); else cout << dp.dp[0][id(x, y)] << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; const long long mod = 1e9 + 7; struct ab { long long a[22][22]; } ans; long long xx[4] = {0, 0, 1, -1}; long long yy[4] = {1, -1, 0, 0}; long long n, m, mp[5005][5005]; ab mul(ab x, ab y) { ab z; for (long long i = 1; i <= n * m; i++) { for (long long j = 1; j <= n * m; j++) { z.a[i][j] = 0; for (long long k = 1; k <= n * m; k++) { z.a[i][j] = (z.a[i][j] + x.a[i][k] * y.a[k][j] % mod) % mod; } } } return z; } ab pow(ab x, long long y) { ab z; for (long long i = 1; i <= n * m; i++) { for (long long j = 1; j <= n * m; j++) { z.a[i][j] = 0; if (i == j) z.a[i][j] = 1; } } while (y) { if (y & 1) z = mul(z, x); x = mul(x, x); y >>= 1; } return z; } signed main() { long long q, t1 = 1; scanf("%lld%lld%lld", &n, &m, &q); for (long long i = 1; i <= n * m; i++) { for (long long j = 1; j <= n * m; j++) { ans.a[i][j] = 0; if (i == j) ans.a[i][j] = 1; } } while (q--) { long long k, x, y, t; scanf("%lld%lld%lld%lld", &k, &x, &y, &t); ab tt; for (long long i = 1; i <= n * m; i++) { for (long long j = 1; j <= n * m; j++) { tt.a[i][j] = 0; } } for (long long i = 1; i <= n; i++) { for (long long j = 1; j <= m; j++) { for (long long k = 0; k <= 3; k++) { long long x1 = i + xx[k], y1 = j + yy[k]; if (x1 <= 0 || x1 > n || y1 <= 0 || y1 > m) continue; if (mp[x1][y1] == 0 && mp[i][j] == 0) tt.a[(x1 - 1) * m + y1][(i - 1) * m + j] = 1; } if (mp[i][j] == 0) tt.a[(i - 1) * m + j][(i - 1) * m + j] = 1; } } for (long long i = 1; i <= t; i++) { } ans = mul(ans, pow(tt, t - t1)); if (k == 1) printf("%lld\n", ans.a[1][(x - 1) * m + y]); if (k == 2) mp[x][y] = 1; if (k == 3) mp[x][y] = 0; t1 = t; } return 0; }
#include <bits/stdc++.h> using namespace std; long long rdtsc() { long long tmp; asm("rdtsc" : "=A"(tmp)); return tmp; } inline int myrand() { return abs((rand() << 15) ^ rand()); } inline int rnd(int x) { return myrand() % x; } const int INF = (int)1.01e9; const long double EPS = 1e-9; const int MOD = (int)1e9 + 7; void add(int &x, int y) { if ((x += y) >= MOD) { x -= MOD; } } int mult(int x, int y) { return (long long)x * y % MOD; } const int maxn = 20 + 5; struct Matrix { int a[maxn][maxn]; int n; Matrix() {} Matrix(int _n, int q = 1) : n(_n) { for (int i = 0; i < n; ++i) { for (int j = 0; j < n; ++j) { a[i][j] = (i == j) ? q : 0; } } } inline Matrix operator*(const Matrix &m) const { Matrix res(n); for (int i = 0; i < n; ++i) { for (int j = 0; j < n; ++j) { long long cur = 0; for (int k = 0; k < n; ++k) { cur += (long long)a[i][k] * m.a[k][j]; if (cur >= (long long)8e18) { cur %= MOD; } } res.a[i][j] = cur % MOD; } } return res; } inline Matrix operator^(long long pw) const { Matrix x = *this; Matrix res(n); for (; pw; pw >>= 1) { if (pw & 1) { res = res * x; } x = x * x; } return res; } }; void precalc() {} int w, h, q; bool read() { if (scanf("%d%d%d", &w, &h, &q) < 3) { return 0; } return 1; } const int maxg = 4; const int go[maxg][2] = {{0, 1}, {1, 0}, {0, -1}, {-1, 0}}; int gs[maxn][maxg + 1]; int getId(int x, int y) { return x * h + y; } void solve() { for (int i = 0; i < w; ++i) { for (int j = 0; j < h; ++j) { int v = getId(i, j); for (int g = 0; g <= maxg; ++g) { int ni = i, nj = j; if (g < maxg) { ni += go[g][0], nj += go[g][1]; } if (0 <= ni && ni < w && 0 <= nj && nj < h) { int u = getId(ni, nj); gs[v][g] = u; } else { gs[v][g] = -1; } } } } int n = w * h; Matrix cur(n, 0); for (int i = 0; i < n; ++i) { for (int g = 0; g <= maxg; ++g) { int j = gs[i][g]; if (j == -1) { continue; } cur.a[i][j] = 1; } } Matrix res(n); int t = 1; for (int iter = 0; iter < q; ++iter) { int type, x, y, nt; scanf("%d%d%d%d", &type, &x, &y, &nt); --x, --y; int pos = getId(x, y); if (type == 2) { --nt; } res = ((cur ^ (nt - t)) * res); t = nt; if (type == 1) { printf("%d\n", res.a[pos][0]); } else { for (int g = 0; g <= maxg; ++g) { int j = gs[pos][g]; if (j == -1) { continue; } cur.a[pos][j] ^= 1; } } } } int main() { srand(rdtsc()); precalc(); while (1) { if (!read()) { break; } solve(); } return 0; }
#include <bits/stdc++.h> #pragma GCC optimize("O3", "unroll-loops") using namespace std; const int iinf = 1 << 29; const long long inf = 1ll << 60; const long long mod = 1e9 + 7; void GG() { cout << "-1\n"; exit(0); } long long mpow(long long a, long long n, long long mo = mod) { long long re = 1; while (n > 0) { if (n & 1) re = re * a % mo; a = a * a % mo; n >>= 1; } return re; } long long inv(long long b, long long mo = mod) { if (b == 1) return b; return (mo - mo / b) * inv(mo % b) % mo; } const int maxn = 20; int n, m, q; bool cat[maxn][maxn]; array<unsigned long long, 20> A; inline int first(int a, int b) { return a * m + b; } void mul(array<array<unsigned long long, 20>, 20> &c, array<array<unsigned long long, 20>, 20> a, array<array<unsigned long long, 20>, 20> b) { for (int i = (0); i < (20); ++i) for (int j = (0); j < (20); ++j) { c[i][j] = 0; for (int k = (0); k < (20); ++k) { c[i][j] += a[i][k] * b[k][j]; } c[i][j] %= mod; } } void move(int T) { array<array<unsigned long long, 20>, 20> pM; for (int i = (0); i < (20); ++i) for (int j = (0); j < (20); ++j) pM[i][j] = 0; for (int i = (0); i < (n); ++i) for (int j = (0); j < (m); ++j) { if (cat[i][j]) continue; pM[first(i, j)][first(i, j)] = 1; if (i) pM[first(i, j)][first(i - 1, j)] = 1; if (j) pM[first(i, j)][first(i, j - 1)] = 1; if (i < n - 1) pM[first(i, j)][first(i + 1, j)] = 1; if (j < m - 1) pM[first(i, j)][first(i, j + 1)] = 1; } array<array<unsigned long long, 20>, 20> M; for (int i = (0); i < (20); ++i) for (int j = (0); j < (20); ++j) M[i][j] = i == j; while (T > 0) { if (T % 2 == 1) { mul(M, M, pM); } mul(pM, pM, pM); T /= 2; } array<unsigned long long, 20> nA; for (int i = (0); i < (20); ++i) { nA[i] = 0; for (int j = (0); j < (20); ++j) { nA[i] = (nA[i] + A[j] * M[i][j]) % mod; } } A = nA; } signed main() { ios_base::sync_with_stdio(0); cin.tie(0); ; cin >> n >> m >> q; fill(A.begin(), A.end(), 0); A[0] = 1; int prv = 1; for (int tmpcnt = (0); tmpcnt < (q); ++tmpcnt) { int TP; cin >> TP; int x, y, t; cin >> x >> y >> t; --x; --y; if (TP == 1) { move(t - prv); prv = t; cout << A[first(x, y)] << '\n'; } if (TP == 2) { move(t - prv); prv = t; cat[x][y] = 1; A[first(x, y)] = 0; } if (TP == 3) { move(t - prv); prv = t; cat[x][y] = 0; } } }
#include <bits/stdc++.h> using namespace std; const double pi = acos(-1); const double eps = 1e-10; const int MAXN = 21; const int MAXM = 21; struct Matrix { int n, m; long long a[MAXN][MAXM]; void clear() { n = m = 0; memset(a, 0, sizeof(a)); } Matrix operator*(const Matrix &b) const { Matrix tmp; tmp.clear(); tmp.n = n; tmp.m = b.m; for (int i = 1; i <= n; i++) for (int j = 1; j <= b.m; j++) for (int k = 1; k <= m; k++) tmp.a[i][j] += a[i][k] * b.a[k][j], tmp.a[i][j] %= 1000000007; return tmp; } }; int read() { char ch = getchar(); int data = 0; while (ch < '0' || ch > '9') ch = getchar(); do { data = data * 10 + ch - '0'; ch = getchar(); } while (ch >= '0' && ch <= '9'); return data; } Matrix quickpow(Matrix M, int p) { Matrix tmp; tmp.clear(); tmp.n = M.n; tmp.m = M.m; for (int i = 1; i <= tmp.n; i++) tmp.a[i][i] = 1; while (p > 1) { if (p % 2) tmp = tmp * M; M = M * M; p /= 2; } tmp = tmp * M; return tmp; } int cat[21][21], dx[4] = {0, 1, 0, -1}, dy[4] = {1, 0, -1, 0}; Matrix ans, T; int main() { int n, m, q, i, j, k, x, y, p, t, last = 1, px, py; n = read(); m = read(); q = read(); ans.n = 1; ans.m = n * m; ans.a[1][1] = 1; T.n = n * m; T.m = n * m; while (q--) { T.clear(); T.n = n * m; T.m = n * m; for (i = 1; i <= n; i++) for (j = 1; j <= m; j++) if (cat[i][j] == 0) { for (k = 0; k <= 3; k++) { px = i + dx[k]; py = j + dy[k]; if (px > 0 && px <= n && py > 0 && py <= m && cat[px][py] == 0) { T.a[i * m - m + j][px * m - m + py] = 1; T.a[px * m - m + py][i * m - m + j] = 1; } } T.a[i * m - m + j][i * m - m + j] = 1; } p = read(); x = read(); y = read(); t = read(); Matrix T1 = quickpow(T, t - last); last = t; ans = ans * T1; if (p == 1) printf("%I64d\n", ans.a[1][x * m - m + y]); if (p == 2) cat[x][y]++; if (p == 3) cat[x][y]--; } }
#include <bits/stdc++.h> using namespace std; const long long LEN = 25; const long long MOD = (long long)1e9 + 7; long long N; struct Matrix { long long M[LEN][LEN]; Matrix() { memset(M, 0, sizeof M); } void prll() { for (long long i = 0; i < LEN; i++) { for (long long j = 0; j < LEN; j++) cout << M[i][j] << " "; cout << '\n'; } } }; Matrix ONE() { Matrix mat; for (long long i = 0; i < LEN; i++) mat.M[i][i] = 1; return mat; } Matrix MUL(Matrix a, Matrix b) { Matrix sol; for (long long k = 0; k < LEN; k++) for (long long i = 0; i < LEN; i++) for (long long j = 0; j < LEN; j++) sol.M[i][j] = (sol.M[i][j] + 1LL * a.M[i][k] * b.M[k][j]) % MOD; return sol; } Matrix POW(Matrix a, long long n) { if (!n) return ONE(); if (n & 1) return MUL(a, POW(a, n - 1)); Matrix b = POW(a, n >> 1); return MUL(b, b); } vector<long long> Solve(Matrix &a, vector<long long> &v) { vector<long long> solution(LEN, 0); for (long long i = 0; i < LEN; i++) { long long sum = 0; for (long long j = 0; j < LEN; j++) sum = (sum + 1LL * a.M[i][j] * v[j]) % MOD; solution[i] = sum; } return solution; } long long M, q; long long ini[LEN]; long long id[LEN][LEN]; bool cat[LEN][LEN]; long long x[5] = {0, 0, 1, -1, 0}; long long y[5] = {1, -1, 0, 0, 0}; bool inIN(long long a, long long b) { return a >= 0 && a < N && b >= 0 && b < M; } Matrix build_mat() { Matrix res; for (long long i = 0; i < N; i++) for (long long j = 0; j < M; j++) { if (cat[i][j]) continue; for (long long k = 0; k < 5; k++) { long long xx = x[k] + i; long long yy = y[k] + j; if (inIN(xx, yy)) { res.M[id[i][j]][id[xx][yy]] = 1; } } } return res; } const long long MAXQ = 20000; long long OPS[MAXQ], XX[MAXQ], YY[MAXQ], TI[MAXQ]; void test(Matrix MAT) { Matrix X = MAT; vector<long long> ini(LEN, 0); ini[0] = 1; vector<long long> sol = Solve(X, ini); for (long long i = 0; i < LEN; i++) cout << sol[i] << " "; cout << '\n'; } int main() { scanf("%d %d %d", &N, &M, &q); long long it = 0; for (long long i = 0; i < N; i++) { for (long long j = 0; j < M; j++) { id[i][j] = it++; } } for (long long i = 0; i < q; i++) { scanf("%d %d %d %d", OPS + i, XX + i, YY + i, TI + i); } Matrix MAT = ONE(); long long currtime = 1; for (long long i = 0; i < q; i++) { long long op = OPS[i], xx = XX[i], yy = YY[i], ti = TI[i]; xx--; yy--; if (op == 1) { vector<long long> ini(LEN, 0); ini[0] = 1; Matrix aux = build_mat(); aux = POW(aux, ti - currtime); MAT = MUL(aux, MAT); vector<long long> res = Solve(MAT, ini); printf("%lld\n", res[id[xx][yy]]); } else if (op == 2) { Matrix aux = build_mat(); aux = POW(aux, ti - currtime - 1); MAT = MUL(aux, MAT); cat[xx][yy] = true; aux = build_mat(); MAT = MUL(aux, MAT); } else { Matrix aux = build_mat(); aux = POW(aux, ti - currtime); MAT = MUL(aux, MAT); cat[xx][yy] = false; } currtime = ti; } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 21; const int dx[5] = {1, -1, 0, 0, 0}; const int dy[5] = {0, 0, 1, -1, 0}; const int mod = 1e9 + 7; void add(int &x, int y) { x += y; if (x >= mod) x -= mod; } int mul(int x, int y) { return 1ll * x * y % mod; } struct MAT { int n, m, a[N][N]; MAT() {} MAT(int _n, int _m, bool b) { n = _n; m = _m; memset(a, 0, sizeof(a)); if (b) for (int i = 1; i <= n; ++i) a[i][i] = 1; } MAT operator*(MAT u) { if (m != u.n) return MAT(0, 0, 0); MAT ret(n, u.m, 0); for (int k = 1; k <= m; ++k) for (int i = 1; i <= n; ++i) for (int j = 1; j <= u.m; ++j) add(ret.a[i][j], mul(a[i][k], u.a[k][j])); return ret; } MAT operator^(int p) { if (n != m) return MAT(0, 0, 0); MAT ret(n, m, 1), x = *this; while (p) { if (p & 1) ret = ret * x; x = x * x; p >>= 1; } return ret; } void print() { for (int i = 1; i <= n; ++i) { for (int j = 1; j <= m; ++j) printf("%d ", a[i][j]); puts(""); } } }; int n, m, nm, q; MAT now, tr; void Upd(int i, int j, int val) { int id = (i - 1) * m + j; for (int k = 0; k < 5; ++k) { int ni = i + dx[k]; int nj = j + dy[k]; if (ni < 1 || ni > n || nj < 1 || nj > m) continue; int nid = (ni - 1) * m + nj; tr.a[nid][id] = val; } } void Init() { nm = n * m; now = MAT(1, nm, 0); now.a[1][1] = 1; tr = MAT(nm, nm, 0); for (int i = 1; i <= n; ++i) for (int j = 1; j <= m; ++j) Upd(i, j, 1); } int main() { scanf("%d%d%d", &n, &m, &q); Init(); for (int pret = 1; q--;) { int tp, x, y, t; scanf("%d%d%d%d", &tp, &x, &y, &t); now = now * (tr ^ (t - pret)); pret = t; if (tp == 1) { printf("%d\n", now.a[1][(x - 1) * m + y]); } else if (tp == 2) { Upd(x, y, 0); now.a[1][(x - 1) * m + y] = 0; } else if (tp == 3) { Upd(x, y, 1); } } return 0; }
#include <bits/stdc++.h> using namespace std; const int inf = 1e9; const int MOD = 1e9 + 7; const int N = 20, M = 1e4 + 10, msiz = N * N; const int dx[5] = {1, -1, 0, 0, 0}, dy[5] = {0, 0, 1, -1, 0}; int base[msiz][msiz], n, m, k, f[msiz], a[M][4], cur[msiz][msiz], tmp[msiz][msiz], cb[msiz][msiz], siz, h[N][N]; bool check(int x, int y) { return (x >= 0 && x < n && y >= 0 && y < m && !h[x][y]); } void modified(int x, int y, int type) { if (!type) f[x * m + y] = 0; h[x][y] = type ^ 1; for (auto i = 0; i <= 4; i++) { int nx = x + dx[i], ny = y + dy[i]; if (check(nx, ny)) base[x * m + y][nx * m + ny] = base[nx * m + ny][x * m + y] = type; } } void init() { for (auto x = 0; x < n; x++) for (auto y = 0; y < m; y++) modified(x, y, 1); siz = n * m; f[0] = 1; } void upmatrix(int x) { memset(cur, 0, sizeof(cur)); for (auto i = 0; i < siz; i++) cur[i][i] = 1; for (auto i = 0; i < siz; i++) for (auto j = 0; j < siz; j++) cb[i][j] = base[i][j]; while (x) { if (x & 1) { for (auto i = 0; i < siz; i++) for (auto j = 0; j < siz; j++) tmp[i][j] = cur[i][j], cur[i][j] = 0; for (auto i = 0; i < siz; i++) for (auto j = 0; j < siz; j++) for (auto k = 0; k < siz; k++) cur[i][j] = (cur[i][j] + 1LL * tmp[i][k] * cb[k][j]) % MOD; } for (auto i = 0; i < siz; i++) for (auto j = 0; j < siz; j++) tmp[i][j] = cb[i][j], cb[i][j] = 0; for (auto i = 0; i < siz; i++) for (auto j = 0; j < siz; j++) for (auto k = 0; k < siz; k++) cb[i][j] = (cb[i][j] + 1LL * tmp[i][k] * tmp[k][j]) % MOD; x >>= 1; } for (auto i = 0; i < siz; i++) tmp[0][i] = f[i]; memset(f, 0, sizeof(f)); for (auto i = 0; i < siz; i++) for (auto j = 0; j < siz; j++) f[i] = (f[i] + 1LL * tmp[0][j] * cur[j][i]) % MOD; } void solve() { init(); for (auto i = 1; i <= k; i++) { upmatrix(a[i][3] - a[i - 1][3]); if (a[i][0] == 0) printf("%d\n", f[a[i][1] * m + a[i][2]]); if (a[i][0] == 1) modified(a[i][1], a[i][2], 0); if (a[i][0] == 2) modified(a[i][1], a[i][2], 1); } } int main() { scanf("%d%d%d", &n, &m, &k); for (auto i = 1; i <= k; i++) for (auto j = 0; j <= 3; j++) scanf("%d", a[i] + j), a[i][j]--; solve(); }
#include <bits/stdc++.h> using namespace std; const int N = 1e5 + 5; const int Mat_SIZE = 21; const int MOD = 1e9 + 7; const int INF = 0x3f3f3f3f; int szz; struct Matrix { int mat[Mat_SIZE][Mat_SIZE]; void init() { for (int i = 0; i < szz; i++) for (int j = 0; j < szz; j++) mat[i][j] = 0; } void init_base() { init(); for (int i = 0; i < szz; i++) mat[i][i] = 1; } void display() { for (int i = 0; i < szz; i++) { for (int j = 0; j < szz; j++) cout << mat[i][j] << ' '; cout << endl; } } } base, A; Matrix operator*(const Matrix &a, const Matrix &b) { Matrix c; for (int i = 0; i < szz; i++) for (int j = 0; j < szz; j++) { c.mat[i][j] = 0; for (int k = 0; k < szz; k++) c.mat[i][j] = (c.mat[i][j] + (long long)a.mat[i][k] * b.mat[k][j] % MOD) % MOD; } return c; } Matrix operator^(Matrix a, int k) { Matrix ret; ret.init_base(); while (k) { if (k & 1) ret = ret * a; a = a * a; k >>= 1; } return ret; } int n, m, q, ty, x, y, t; int cat[Mat_SIZE][Mat_SIZE]; int dx[4] = {0, 0, -1, 1}; int dy[4] = {-1, 1, 0, 0}; int id(int x, int y) { return x * m + y; } bool ing(int x, int y) { if (x < 0 || x >= n) return false; if (y < 0 || y >= m) return false; return true; } void get_base() { base.init(); for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) { if (!cat[i][j]) base.mat[id(i, j)][id(i, j)] = 1; for (int k = 0; k < 4; k++) { int nx = i + dx[k]; int ny = j + dy[k]; if (!ing(nx, ny) || cat[nx][ny]) continue; base.mat[id(i, j)][id(nx, ny)] = 1; } } } int main() { scanf("%d%d%d", &n, &m, &q); szz = n * m; get_base(); A.init(); A.mat[0][0] = 1; int curx = 0, cury = 0, curt = 1; for (int i = 0; i < q; i++) { scanf("%d%d%d%d", &ty, &x, &y, &t); x--; y--; if (ty == 1) { A = A * (base ^ (t - curt)); printf("%d\n", A.mat[0][id(x, y)]); } else if (ty == 2) { A = A * (base ^ (t - curt - 1)); cat[x][y] = 1; get_base(); A = A * base; } else { A = A * (base ^ (t - curt)); cat[x][y] = 0; get_base(); } curx = x; cury = y; curt = t; } return 0; }
#include <bits/stdc++.h> #pragma comment(linker, "/STACK:9759095000") #pragma GCC optimize("Ofast") #pragma GCC optimize("unroll-loops") #pragma GCC target("sse,sse2,sse3,ssse3,abm,mmx,tune=native") using namespace std; long long gcd(long long i, long long j) { if (j == 0) return i; else return gcd(j, i % j); } template <typename T> inline T getint() { T val = 0; char c; bool neg = false; while ((c = getchar()) && !(c >= '0' && c <= '9')) { neg |= c == '-'; } do { val = (val * 10) + c - '0'; } while ((c = getchar()) && (c >= '0' && c <= '9')); return val * (neg ? -1 : 1); } const long long INF = 1e18; const int mod = 1000000007; const long double eps = 1e-9, pi = acos(-1); const int maxN = 300100, maxT = 2001; void file_inc() { freopen("input.txt", "r", stdin); freopen("output.txt", "w", stdout); } vector<vector<long long>> operator*(const vector<vector<long long>>& a, const vector<vector<long long>>& b) { vector<vector<long long>> ans(a.size(), vector<long long>(b[0].size())); for (int i = 0; i < a.size(); ++i) { for (int j = 0; j < b[0].size(); ++j) { for (int k = 0; k < b.size(); ++k) { ans[i][j] = (ans[i][j] + a[i][k] * b[k][j]) % mod; } } } return ans; } vector<vector<long long>> bin_pow(long long b, vector<vector<long long>> et) { if (b == 0) { vector<vector<long long>> ans(et.size(), vector<long long>(et.size())); for (int i = 0; i < et.size(); ++i) ans[i][i] = 1; return ans; } vector<vector<long long>> ans = bin_pow(b / 2, et); ans = ans * ans; if (b % 2 == 1) ans = ans * et; return ans; } int n, m; bool val(int x, int y) { return 0 <= x && x < n && 0 <= y && y < m; } int get_code(int x, int y) { return x * m + y; } pair<int, int> get_coord(int code) { return make_pair(code / m, code % m); } int32_t main() { cin.tie(0); cout.tie(0); ios_base::sync_with_stdio(false); cout.precision(15); int q; cin >> n >> m >> q; vector<vector<long long>> st(m * n, vector<long long>(1)); st[get_code(0, 0)][0] = 1; vector<vector<long long>> et(m * n, vector<long long>(m * n, 0)); for (int x = 0; x < n; ++x) { for (int y = 0; y < m; ++y) { et[get_code(x, y)][get_code(x, y)] = 1; if (val(x - 1, y)) et[get_code(x, y)][get_code(x - 1, y)] = 1; if (val(x + 1, y)) et[get_code(x, y)][get_code(x + 1, y)] = 1; if (val(x, y - 1)) et[get_code(x, y)][get_code(x, y - 1)] = 1; if (val(x, y + 1)) et[get_code(x, y)][get_code(x, y + 1)] = 1; } } vector<vector<long long>> et1 = et; vector<int> used(n * m); int tt = 1; while (q--) { int tp, x, y, t; cin >> tp >> x >> y >> t; --x; --y; if (tp == 1) { vector<vector<long long>> tmp = bin_pow(t - tt, et1); tt = t; st = tmp * st; cout << st[get_code(x, y)][0] << "\n"; } if (tp == 2) { vector<vector<long long>> tmp = bin_pow(t - tt, et1); tt = t; st = tmp * st; int ver = get_code(x, y); used[ver] = 1; for (int i = 0; i < n * m; ++i) { if (used[ver] == 0 && used[i] == 0) { et1[i][ver] = et[i][ver]; et1[ver][i] = et[ver][i]; } else { et1[i][ver] = 0; et1[ver][i] = 0; } } } if (tp == 3) { vector<vector<long long>> tmp = bin_pow(t - tt, et1); tt = t; st = tmp * st; int ver = get_code(x, y); used[ver] = 0; for (int i = 0; i < n * m; ++i) { if (used[ver] == 0 && used[i] == 0) { et1[i][ver] = et[i][ver]; et1[ver][i] = et[ver][i]; } else { et1[i][ver] = 0; et1[ver][i] = 0; } } } } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 1e5; const int mod = 1e9 + 7; int dx[] = {1, 0, -1, 0, 0}; int dy[] = {0, -1, 0, 1, 0}; int n, m, q; struct matrix { int n, m, a[21][21]; matrix() { n = m = 0; memset(a, 0, sizeof a); } }; int sum(int a, int b) { a += b; if (a >= mod) a -= mod; return a; } int mult(int a, int b) { return (1ll * a * b) % mod; } matrix operator*(matrix a, matrix b) { matrix ans; ans.n = a.n, ans.m = b.m; for (int i = 1; i <= ans.n; i++) for (int j = 1; j <= ans.m; j++) for (int k = 1; k <= a.m; k++) ans.a[i][j] = sum(ans.a[i][j], mult(a.a[i][k], b.a[k][j])); return ans; } matrix bp(matrix a, int n) { matrix ans; ans.n = ans.m = a.n; for (int i = 1; i <= ans.n; i++) ans.a[i][i] = 1; while (n) { if (n & 1) ans = ans * a; a = a * a; n >>= 1; } return ans; } bool valid(int x, int y) { if (x >= 1 && x <= n && y >= 1 && y <= m) return 1; return 0; } int id(int x, int y) { return (x - 1) * m + y; } int main() { scanf("%d%d%d", &n, &m, &q); matrix a, dp; dp.n = 1, dp.m = n * m; dp.a[1][1] = 1; a.n = a.m = n * m; for (int x = 1; x <= n; x++) for (int y = 1; y <= m; y++) for (int i = 0; i < 5; i++) { int nx = x + dx[i]; int ny = y + dy[i]; if (valid(nx, ny)) a.a[id(x, y)][id(nx, ny)] = a.a[id(nx, ny)][id(x, y)] = 1; } for (int i = 1, type, x, y, t, prev = 1; i <= q; i++) { scanf("%d%d%d%d", &type, &x, &y, &t); dp = dp * bp(a, t - prev); prev = t; if (type == 1) printf("%d\n", dp.a[1][id(x, y)]); if (type == 2) for (int j = 0; j < 5; j++) { int nx = x + dx[j]; int ny = y + dy[j]; if (valid(nx, ny)) a.a[id(nx, ny)][id(x, y)] = a.a[id(x, y)][id(nx, ny)] = 0; } if (type == 3) for (int j = 0; j < 5; j++) { int nx = x + dx[j]; int ny = y + dy[j]; if (valid(nx, ny) && (a.a[id(nx, ny)][id(nx, ny)] != 0 || id(nx, ny) == id(x, y))) a.a[id(nx, ny)][id(x, y)] = a.a[id(x, y)][id(nx, ny)] = 1; } } return 0; }
#include <bits/stdc++.h> using namespace std; int n, m, q, b[22][22], pre; struct Matrix { int a[22][22]; } a, ans, tmp; Matrix buildm() { Matrix ret; for (int p = 1; p <= n * m; p++) for (int q = 1; q <= n * m; q++) { int px = (p - 1) / m + 1, py = p - m * (px - 1); int qx = (q - 1) / m + 1, qy = q - m * (qx - 1); if (b[px][py] || b[qx][qy]) { ret.a[p][q] = 0; continue; } if (abs(px - qx) + abs(py - qy) <= 1) ret.a[p][q] = 1; else ret.a[p][q] = 0; } return ret; } Matrix cheng(Matrix a, Matrix b) { Matrix ret; memset(ret.a, 0, sizeof(ret.a)); for (int i = 1; i <= n * m; i++) for (int k = 1; k <= n * m; k++) if (a.a[i][k]) for (int j = 1; j <= n * m; j++) (ret.a[i][j] += ((long long)a.a[i][k] * b.a[k][j]) % 1000000007) %= 1000000007; return ret; } Matrix mypow(Matrix a, int k) { Matrix ret; memset(ret.a, 0, sizeof(ret.a)); for (int i = 1; i <= n * m; i++) ret.a[i][i] = 1; while (k) { if (k & 1) ret = cheng(ret, a); a = cheng(a, a); k >>= 1; } return ret; } int main() { scanf("%d%d%d", &n, &m, &q); ans.a[1][1] = 1; pre = 1; for (int i = 1; i <= q; i++) { int tp, x, y, t; scanf("%d%d%d%d", &tp, &x, &y, &t); if (tp == 2) { int tt = t - pre - 1; Matrix la = buildm(); la = mypow(la, tt); ans = cheng(ans, la); memset(tmp.a, 0, sizeof(tmp.a)); for (int q = 1; q <= n * m; q++) { int qx = (q - 1) / m + 1, qy = q - m * (qx - 1); if (b[qx][qy] || (qx == x && qy == y)) continue; tmp.a[1][q] = ans.a[1][q]; if (qx - 1 > 0 && b[qx - 1][qy] == 0) (tmp.a[1][q] += ans.a[1][(qx - 2) * m + qy]) %= 1000000007; if (qy - 1 > 0 && b[qx][qy - 1] == 0) (tmp.a[1][q] += ans.a[1][(qx - 1) * m + qy - 1]) %= 1000000007; if (qx + 1 <= n && b[qx + 1][qy] == 0) (tmp.a[1][q] += ans.a[1][qx * m + qy]) %= 1000000007; if (qy + 1 <= m && b[qx][qy + 1] == 0) (tmp.a[1][q] += ans.a[1][(qx - 1) * m + qy + 1]) %= 1000000007; } ans = tmp; b[x][y] = 1; pre = t; } if (tp == 3) { int tt = t - pre - 1; Matrix la = buildm(); la = mypow(la, tt); ans = cheng(ans, la); memset(tmp.a, 0, sizeof(tmp.a)); b[x][y] = 0; for (int q = 1; q <= n * m; q++) { int qx = (q - 1) / m + 1, qy = q - m * (qx - 1); if (b[qx][qy] || (qx == x && qy == y)) continue; tmp.a[1][q] = ans.a[1][q]; if (qx - 1 > 0 && b[qx - 1][qy] == 0) (tmp.a[1][q] += ans.a[1][(qx - 2) * m + qy]) %= 1000000007; if (qy - 1 > 0 && b[qx][qy - 1] == 0) (tmp.a[1][q] += ans.a[1][(qx - 1) * m + qy - 1]) %= 1000000007; if (qx + 1 <= n && b[qx + 1][qy] == 0) (tmp.a[1][q] += ans.a[1][qx * m + qy]) %= 1000000007; if (qy + 1 <= m && b[qx][qy + 1] == 0) (tmp.a[1][q] += ans.a[1][(qx - 1) * m + qy + 1]) %= 1000000007; } ans = tmp; pre = t; } if (tp == 1) { int tt = t - pre; Matrix la = buildm(); la = mypow(la, tt); ans = cheng(ans, la); printf("%d\n", ans.a[1][(x - 1) * m + y]); pre = t; } } return 0; }
#include <bits/stdc++.h> using namespace std; const int mod = 1e9 + 7; struct Matrix { int m[22][22]; void standard(int n) { for (int i = 0; i < (int)n; i++) for (int j = 0; j < (int)n; j++) m[i][j] = (i == j); } void show(int n) { for (int i = 0; i < (int)n; i++) { for (int j = 0; j < (int)n; j++) cout << m[i][j] << " "; cout << endl; } } }; int n; Matrix mul(Matrix A, Matrix B) { Matrix C; for (int i = 0; i < (int)n; i++) for (int j = 0; j < (int)n; j++) { C.m[i][j] = 0; for (int k = 0; k < (int)n; k++) C.m[i][j] = (C.m[i][j] + (long long)A.m[i][k] * B.m[k][j] % mod) % mod; } return C; } Matrix pow_(Matrix A, int c) { Matrix ret; ret.standard(n); while (c > 0) { if (c & 1) ret = mul(ret, A); A = mul(A, A); c >>= 1; } return ret; } const int dx[] = {-1, 0, 1, 0}; const int dy[] = {0, 1, 0, -1}; int r, c, q; int main() { scanf("%d %d %d", &r, &c, &q); n = r * c; Matrix A; A.standard(n); for (int i = 0; i < (int)r; i++) for (int j = 0; j < (int)c; j++) { for (int d = 0; d < (int)4; d++) { int ni = i + dx[d], nj = j + dy[d]; if (ni >= 0 && ni < r && nj >= 0 && nj < c) A.m[i * c + j][ni * c + nj] = 1; } } Matrix all, now; all.standard(n); int pret = 1, vis[22] = {0}; while (q--) { int cmd, x, y, t; scanf("%d %d %d %d", &cmd, &x, &y, &t), --x, --y; for (int i = 0; i < (int)n; i++) for (int j = 0; j < (int)n; j++) { if (!vis[i] && !vis[j]) now.m[i][j] = A.m[i][j]; else now.m[i][j] = 0; } all = mul(all, pow_(now, t - pret)); pret = t; if (cmd == 2) vis[x * c + y] = 1; else if (cmd == 3) vis[x * c + y] = 0; else if (cmd == 1) printf("%d\n", all.m[0][x * c + y]); } return 0; }
#include <bits/stdc++.h> using namespace std; const int INF = 0x3f3f3f3f; const long long LINF = 0x3f3f3f3f3f3f3f3f; const int MOD = 1e9 + 7; template <typename T> struct matrix : vector<vector<T>> { int n, m; void print() { for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) cout << (*this)[i][j] << " "; cout << '\n'; } } matrix(int n_, int m_, bool ident = false) : vector<vector<T>>(n_, vector<T>(m_, 0)), n(n_), m(m_) { if (ident) { assert(n == m); for (int i = 0; i < n; i++) (*this)[i][i] = 1; } } matrix(const vector<vector<T>>& c) : vector<vector<T>>(c), n(c.size()), m(c[0].size()) {} matrix(const initializer_list<initializer_list<T>>& c) { vector<vector<T>> val; for (auto& i : c) val.push_back(i); *this = matrix(val); } matrix<T> operator*(matrix<T>& r) { assert(m == r.n); matrix<T> M(n, r.m); for (int i = 0; i < n; i++) for (int k = 0; k < m; k++) for (int j = 0; j < r.m; j++) { T add = (*this)[i][k] * r[k][j]; M[i][j] += add; } return M; } matrix<T> operator^(long long e) { matrix<T> M(n, n, true), at = *this; while (e) { if (e & 1) M = M * at; e >>= 1; at = at * at; } return M; } }; int n, m; int pos(int a, int b) { return b + a * m; } pair<int, int> cord(int x) { return {x / m, x % n}; } vector<pair<int, int>> dx = {{0, 0}, {0, 1}, {0, -1}, {1, 0}, {-1, 0}}; int main() { ios_base::sync_with_stdio(0); cin.tie(0); int q; cin >> n >> m >> q; vector<tuple<int, int, int, int, int>> ev(q); int cnt = 0; for (auto& [t, tp, x, y, id] : ev) { cin >> tp >> x >> y >> t; x--, y--; if (tp == 1) id = cnt++; } matrix<long long> A(n * m, n * m); for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) { for (auto [x, y] : dx) { x += i, y += j; if (x >= 0 and x < n and y >= 0 and y < m) A[pos(i, j)][pos(x, y)] = 1; } } int t_at = 1; vector<int> cats(n * m); matrix<long long> at(n * m, n * m, 1); vector<int> ans(cnt); for (auto [t, tp, x, y, id] : ev) { if (t > t_at) { if (tp == 1 or tp == 2 or tp == 3) { matrix<long long> A2 = A ^ (t - t_at); at = at * A2; t_at = t; } else { matrix<long long> A2 = A ^ (t - 1 - t_at); at = at * A2; t_at = t - 1; } } if (tp == 1) { ans[id] = at[pos(0, 0)][pos(x, y)]; } else if (tp == 2) { cats[pos(x, y)] = 1; for (auto [xx, yy] : dx) { xx += x, yy += y; if (xx >= 0 and xx < n and yy >= 0 and yy < m) A[pos(x, y)][pos(xx, yy)] = 0, A[pos(xx, yy)][pos(x, y)] = 0; } } else { cats[pos(x, y)] = 0; for (auto [xx, yy] : dx) { xx += x, yy += y; if (xx >= 0 and xx < n and yy >= 0 and yy < m and !cats[pos(xx, yy)]) A[pos(x, y)][pos(xx, yy)] = 1, A[pos(xx, yy)][pos(x, y)] = 1; } } } for (auto u : ans) cout << u << '\n'; exit(0); }
#include <bits/stdc++.h> using namespace std; template <class T> inline bool RD(T &ret) { char c; int sgn; if (c = getchar(), c == EOF) return 0; while (c != '-' && (c < '0' || c > '9')) c = getchar(); sgn = (c == '-') ? -1 : 1, ret = (c == '-') ? 0 : (c - '0'); while (c = getchar(), c >= '0' && c <= '9') ret = ret * 10 + (c - '0'); ret *= sgn; return 1; } template <class T> inline void PT(T x) { if (x < 0) putchar('-'), x = -x; if (x > 9) PT(x / 10); putchar(x % 10 + '0'); } const int N = 22; const int MOD = 1e9 + 7; struct mat { int a[N][N]; mat() { memset(a, 0, sizeof(a)); } int r, c; mat operator*(const mat &m) const { mat ans; ans.r = r; ans.c = m.c; for (int i = 1; i <= int(r); i++) for (int j = 1; j <= int(ans.c); j++) for (int k = 1; k <= int(c); k++) { ans.a[i][j] += ((unsigned long long)a[i][k] * m.a[k][j]) % MOD; if (ans.a[i][j] >= MOD) ans.a[i][j] -= MOD; } return ans; } } all[1111]; int top; mat mul(mat &m1, mat &m2) { mat ans = all[top++]; memset(ans.a, 0, sizeof(ans.a)); ans.r = m1.r; ans.c = m2.c; for (int i = 1; i <= int(ans.r); i++) for (int j = 1; j <= int(ans.c); j++) for (int k = 1; k <= int(m1.c); k++) { ans.a[i][j] += ((unsigned long long)m1.a[i][k] * m2.a[k][j]) % MOD; if (ans.a[i][j] >= MOD) ans.a[i][j] -= MOD; } top--; return ans; } void quickpow(mat &ans, mat m, int k) { if (k == 1) { ans = m; return; } if (k % 2 == 0) { quickpow(ans, m, k / 2); ans = ans * ans; return; } quickpow(ans, m, k / 2); ans = ans * ans; ans = ans * m; } int r, c, Q; bool mp[N][N]; mat A, M; inline int f(int x, int y) { return (x - 1) * c + y; } int dx[4] = {0, 1, 0, -1}; int dy[4] = {1, 0, -1, 0}; bool ok(int x, int y) { return x >= 1 && x <= r && y >= 1 && y <= c && !mp[x][y]; } void build() { memset(M.a, 0, sizeof(M.a)); M.r = r * c; M.c = r * c; for (int x = 1; x <= int(r); x++) for (int y = 1; y <= int(c); y++) { for (int k = 0; k < int(4); k++) { int nx = x + dx[k]; int ny = y + dy[k]; if (ok(nx, ny) && !mp[x][y]) M.a[f(x, y)][f(nx, ny)] = 1; } if (!mp[x][y]) M.a[f(x, y)][f(x, y)] = 1; } } int main() { scanf("%d%d%d", &r, &c, &Q); int last = 1; A.r = r * c; A.c = 1; A.a[1][1] = 1; for (int i = 1; i <= int(Q); i++) { int op; RD(op); int x, y, t; RD(x), RD(y), RD(t); build(); mat tmp; quickpow(tmp, M, t - last); A = tmp * A; last = t; if (op == 1) printf("%d\n", A.a[f(x, y)][1]); else if (op == 2) A.a[f(x, y)][1] = 0, mp[x][y] = 1; else mp[x][y] = 0; } }
#include <bits/stdc++.h> using namespace std; const int inf = (int)1e9; const double eps = 1e-9; const double pi = acos(-1.0); const int mod = (int)1e9 + 7; int N; struct matrix { int a[22][22]; matrix(int x) { for (int i = 0; i < N; i++) { for (int j = 0; j < N; j++) { a[i][j] = 0; if (i == j) a[i][j] = x; } } } matrix operator+(const matrix& o) { matrix C = matrix(0); for (int i = 0; i < N; i++) { for (int j = 0; j < N; j++) { C.a[i][j] = a[i][j] + o.a[i][j]; if (C.a[i][j] >= mod) C.a[i][j] -= mod; } } return C; } matrix operator*(const matrix& o) { matrix C = matrix(0); for (int i = 0; i < N; i++) { for (int j = 0; j < N; j++) { C.a[i][j] = 0; for (int k = 0; k < N; k++) { C.a[i][j] += a[i][k] * 1ll * o.a[k][j] % mod; if (C.a[i][j] >= mod) C.a[i][j] -= mod; } } } return C; } void makeFull() { for (int i = 0; i < N; i++) for (int j = 0; j < N; j++) a[i][j] = 1; } void show() { for (int i = 0; i < N; i++) { for (int j = 0; j < N; j++) { printf("%d ", a[i][j]); } printf("\n"); } for (int i = 0; i < 2 * N; i++) printf("-"); printf("\n"); } }; int n, m, q; int dx[] = {1, 0, -1, 0, 0}; int dy[] = {0, 1, 0, -1, 0}; matrix binpow(matrix A, int n) { matrix res = matrix(1); while (n) { if (n & 1) res = res * A; A = A * A; n >>= 1; } return res; } bool check(int x, int y) { return x >= 0 && x < n && y >= 0 && y < m; } int main() { scanf("%d%d%d", &n, &m, &q); matrix A = matrix(0); N = n * m; for (int i = 0; i < N; i++) { for (int j = 0; j < N; j++) { int x1 = i / m, stupid_y1 = i % m; int x2 = j / m, y2 = j % m; bool ok = false; for (int k = 0; k < 5; k++) { int tox = x1 + dx[k]; int toy = stupid_y1 + dy[k]; if (tox == x2 && toy == y2) ok = true; } A.a[i][j] = ok; } } int prev = 1; matrix T = matrix(0); matrix C = matrix(0); matrix C2 = matrix(0); C2.a[0][0] = 1; for (int iter = 0; iter < q; iter++) { int type, x, y, t; scanf("%d%d%d%d", &type, &x, &y, &t); int diff = t - prev; x--; y--; T = binpow(A, diff); C = C2 * T; C2 = C; if (type == 1) { printf("%d\n", C.a[0][x * m + y]); } else if (type == 2) { int I = x * m + y; for (int k = 0; k < 5; k++) { int tox = x + dx[k]; int toy = y + dy[k]; if (!check(tox, toy)) continue; int J = tox * m + toy; A.a[I][J] = A.a[J][I] = 0; } } else if (type == 3) { int I = x * m + y; A.a[I][I] = 1; for (int k = 0; k < 5; k++) { int tox = x + dx[k]; int toy = y + dy[k]; if (!check(tox, toy)) continue; int J = tox * m + toy; if (!A.a[J][J]) continue; A.a[I][J] = A.a[J][I] = 1; } } prev = t; } return 0; }
#include <bits/stdc++.h> using namespace std; using ll = long long; using pii = pair<int, int>; using pll = pair<ll, ll>; const int inc[5][2] = {{-1, 0}, {0, -1}, {0, 1}, {1, 0}, {0, 0}}; const int MAXN = 20, MOD = 1e9 + 7; int add(int x, int y) { return (x + y) % MOD; } void addeq(int &x, int y) { x = add(x, y); } int mult(int x, int y) { return ll(x) * y % MOD; } int N, M, S, Q; bool inside(int x, int y) { return 0 <= x && x < N && 0 <= y && y < M; } struct matrix { int data[MAXN][MAXN]; int *operator[](int x) { return data[x]; } const int *operator[](int x) const { return data[x]; } } zero, one; matrix operator*(const matrix &m1, const matrix &m2) { matrix res = zero; for (int k = 0; k < S; k++) { for (int i = 0; i < S; i++) { for (int j = 0; j < S; j++) { addeq(res[i][j], mult(m1[i][k], m2[k][j])); } } } return res; } void operator*=(matrix &m1, const matrix &m2) { m1 = m1 * m2; } matrix pow(matrix m1, int p) { matrix res = one; for (; p; p >>= 1) { if (p & 1) { res *= m1; } m1 *= m1; } return res; } matrix mat, trans; void settrans(int i, int j, int val) { int ij = M * i + j; for (int k = 0; k < 5; k++) { int ni = i + inc[k][0], nj = j + inc[k][1]; if (inside(ni, nj)) { trans[ij][M * ni + nj] = val; } } } int main() { if (fopen("input.txt", "r")) { freopen("input.txt", "r", stdin); } scanf("%d %d %d", &N, &M, &Q); S = N * M; for (int i = 0; i < S; i++) { one[i][i] = 1; } mat = one; trans = zero; for (int i = 0; i < N; i++) { for (int j = 0; j < M; j++) { settrans(i, j, 1); } } int pt = 1; while (Q--) { int type, x, y, t; scanf("%d %d %d %d", &type, &x, &y, &t); x--; y--; mat = pow(trans, t - pt - 1) * mat; pt = t; if (type == 1) { mat = trans * mat; printf("%d\n", mat[M * x + y][0]); } else if (type == 2) { settrans(x, y, 0); mat = trans * mat; } else { mat = trans * mat; settrans(x, y, 1); } } }
#include <bits/stdc++.h> using namespace std; const int iinf = 1 << 29; const long long inf = 1ll << 60; const long long mod = 1e9 + 7; void GG() { cout << "-1\n"; exit(0); } long long mpow(long long a, long long n, long long mo = mod) { long long re = 1; while (n > 0) { if (n & 1) re = re * a % mo; a = a * a % mo; n >>= 1; } return re; } long long inv(long long b, long long mo = mod) { if (b == 1) return b; return (mo - mo / b) * inv(mo % b) % mo; } const int maxn = 20; int n, m, q; bool cat[maxn][maxn]; array<unsigned long long, 20> A; inline int first(int a, int b) { return a * m + b; } void mul(array<array<unsigned long long, 20>, 20> &c, array<array<unsigned long long, 20>, 20> a, array<array<unsigned long long, 20>, 20> b) { for (int i = (0); i < (20); ++i) for (int j = (0); j < (20); ++j) { c[i][j] = 0; for (int k = (0); k < (20); ++k) { c[i][j] += a[i][k] * b[k][j]; } c[i][j] %= mod; } } void move(int T) { array<array<unsigned long long, 20>, 20> pM; for (int i = (0); i < (20); ++i) for (int j = (0); j < (20); ++j) pM[i][j] = 0; for (int i = (0); i < (n); ++i) for (int j = (0); j < (m); ++j) { if (cat[i][j]) continue; pM[first(i, j)][first(i, j)] = 1; if (i) pM[first(i, j)][first(i - 1, j)] = 1; if (j) pM[first(i, j)][first(i, j - 1)] = 1; if (i < n - 1) pM[first(i, j)][first(i + 1, j)] = 1; if (j < m - 1) pM[first(i, j)][first(i, j + 1)] = 1; } array<array<unsigned long long, 20>, 20> M; for (int i = (0); i < (20); ++i) for (int j = (0); j < (20); ++j) M[i][j] = i == j; while (T > 0) { if (T % 2 == 1) { mul(M, M, pM); } mul(pM, pM, pM); T /= 2; } array<unsigned long long, 20> nA; for (int i = (0); i < (20); ++i) { nA[i] = 0; for (int j = (0); j < (20); ++j) { nA[i] = (nA[i] + A[j] * M[i][j]) % mod; } } A = nA; } signed main() { ios_base::sync_with_stdio(0); cin.tie(0); ; cin >> n >> m >> q; fill(A.begin(), A.end(), 0); A[0] = 1; int prv = 1; for (int tmpcnt = (0); tmpcnt < (q); ++tmpcnt) { int TP; cin >> TP; int x, y, t; cin >> x >> y >> t; --x; --y; if (TP == 1) { move(t - prv); prv = t; cout << A[first(x, y)] << '\n'; } if (TP == 2) { move(t - prv); prv = t; cat[x][y] = 1; A[first(x, y)] = 0; } if (TP == 3) { move(t - prv); prv = t; cat[x][y] = 0; } } }
#include <bits/stdc++.h> using namespace std; const int N = 20 + 5; const int MOD = 1e9 + 7; long long C[N][N]; void multiply(long long A[N][N], long long B[N][N], int n) { for (int i = 0; i < n; i++) { for (int j = 0; j < n; j++) { for (int k = 0; k < n; k++) { C[i][j] = (C[i][j] + A[i][k] * B[k][j]) % MOD; } } } for (int i = 0; i < n; i++) { for (int j = 0; j < n; j++) { A[i][j] = C[i][j]; C[i][j] = 0; } } } int dx[] = {0, 0, 0, 1, -1}; int dy[] = {0, 1, -1, 0, 0}; long long A[N][N], B[N][N], D[N][N]; void power(int n, int sz) { if (n == 0) return; power(n >> 1, sz); multiply(A, A, sz); if (n & 1) multiply(A, B, sz); } int cat[N]; long long ways[N], temp[N]; int main() { ios::sync_with_stdio(0); cin.tie(0); int n, m, q; cin >> n >> m >> q; for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { for (int k = 0; k < 5; k++) { int x = i + dx[k], y = j + dy[k]; if (x >= 0 and y >= 0 and x < n and y < m) { D[i * m + j][x * m + y] = 1; } } } } ways[0] = 1; int last = 1; for (int query = 1; query <= q; query++) { int tp, x, y, t; cin >> tp >> x >> y >> t; x--, y--; for (int i = 0; i < n * m; i++) { for (int j = 0; j < n * m; j++) { if (cat[j]) B[i][j] = 0; else B[i][j] = D[i][j]; A[i][j] = 0; } A[i][i] = 1; } power(t - last, n * m); last = t; for (int i = 0; i < n * m; i++) { for (int j = 0; j < n * m; j++) { temp[j] = (temp[j] + ways[i] * A[i][j]) % MOD; } } for (int i = 0; i < n * m; i++) { ways[i] = temp[i]; temp[i] = 0; } if (tp == 1) { cout << ways[x * m + y] << "\n"; } else if (tp == 2) { cat[x * m + y] = 1; ways[x * m + y] = 0; } else { cat[x * m + y] = 0; } } return 0; }
#include <bits/stdc++.h> using namespace std; const int inf = (int)1e9; const int mod = inf + 7; const double eps = 1e-9; const double pi = acos(-1.0); int n, m, q; struct Matrix { int sz; vector<vector<int> > a; Matrix() { sz = 0; a.clear(); } Matrix(int _sz, vector<vector<int> > _a) { a = _a; sz = _sz; } Matrix(int _sz) { sz = _sz; vector<int> temp(sz, 0); a.assign(sz, temp); } void print() { for (int i = 0; i < sz; i++) { for (int j = 0; j < sz; j++) { cout << a[i][j] << " "; } cout << endl; } } Matrix const operator*(Matrix o) { Matrix res = Matrix(sz); for (int i = 0; i < sz; i++) { for (int j = 0; j < sz; j++) { int cur = 0; for (int k = 0; k < sz; k++) { int p = 1ll * a[i][k] * o.a[k][j] % mod; cur += p; if (cur >= mod) cur -= mod; } res.a[i][j] = cur; } } return res; } } d, zero, A; int dx[5] = {0, -1, 1, 0, 0}; int dy[5] = {0, 0, 0, -1, 1}; int a[30][30]; int _x[100100], _y[100100], _type[100100], _t[100100]; Matrix make_matrix() { Matrix res = Matrix(n * m); for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { if (a[i][j]) continue; for (int d = 0; d < 5; d++) { int x = i + dx[d]; int y = j + dy[d]; if (x >= 0 && x < n && y >= 0 && y < m) { if (a[x][y]) continue; res.a[i * m + j][x * m + y]++; } } } } return res; } Matrix binpow(Matrix a, int k) { if (k == 0) return zero; Matrix ans = binpow(a, k / 2); ans = ans * ans; if (k % 2) ans = ans * a; return ans; } int main() { scanf("%d%d%d", &n, &m, &q); for (int i = 0; i < q; i++) { scanf("%d%d%d%d", _type + i, _x + i, _y + i, _t + i); _x[i]--; _y[i]--; } zero = Matrix(n * m); for (int i = 0; i < n * m; i++) { zero.a[i][i] = 1; } A = Matrix(n * m); A.a[0][0] = 1; d = make_matrix(); int prev_time = 1; for (int i = 0; i < q; i++) { int x = _x[i], y = _y[i]; int type = _type[i], t = _t[i]; int delta = t - prev_time - 1; d = make_matrix(); d = binpow(d, delta); A = A * d; if (type == 2) a[x][y]++; d = make_matrix(); if (type == 2) { for (int dd = 0; dd < 5; dd++) { int xx = x + dx[dd]; int yy = y + dy[dd]; if (xx >= 0 && xx < n && yy >= 0 && yy < m) { if (!a[xx][yy]) { int from = x * m + y; int to = xx * m + yy; d.a[from][to]++; } } } } else if (type == 3) { for (int dd = 0; dd < 5; dd++) { int xx = x + dx[dd]; int yy = y + dy[dd]; if (xx >= 0 && xx < n && yy >= 0 && yy < m) { if (!a[xx][yy]) { int from = x * m + y; int to = xx * m + yy; d.a[to][from] = 0; } } } } if (type == 3) a[x][y]--; A = A * d; if (type == 1) printf("%d\n", A.a[0][x * m + y]); prev_time = t; } return 0; }
#include <bits/stdc++.h> using namespace std; template <typename T> T in() { char ch; T n = 0; bool ng = false; while (1) { ch = getchar(); if (ch == '-') { ng = true; ch = getchar(); break; } if (ch >= '0' && ch <= '9') break; } while (1) { n = n * 10 + (ch - '0'); ch = getchar(); if (ch < '0' || ch > '9') break; } return (ng ? -n : n); } template <typename T> inline T Dist(T x1, T y1, T x2, T y2) { return sqrt((x1 - x2 * x1 - x2) + (y1 - y2 * y1 - y2)); } template <typename T> inline T POW(T B, T P) { if (P == 0) return 1; if (P & 1) return B * POW(B, P - 1); else return (POW(B, P / 2) * POW(B, P / 2)); } template <typename T> inline T ABS(T a) { if (a < 0) return -a; else return a; } template <typename T> inline T Gcd(T a, T b) { if (a < 0) return Gcd(-a, b); if (b < 0) return Gcd(a, -b); return (b == 0) ? a : Gcd(b, a % b); } template <typename T> inline T Lcm(T a, T b) { if (a < 0) return Lcm(-a, b); if (b < 0) return Lcm(a, -b); return a * (b / Gcd(a, b)); } long long Bigmod(long long base, long long power, long long MOD) { long long ret = 1; while (power) { if (power & 1) ret = (ret * base) % MOD; base = (base * base) % MOD; power >>= 1; } return ret; } long long ModInverse(long long number, long long MOD) { return Bigmod(number, MOD - 2, MOD); } int Set(int N, int pos) { return N = N | (1 << pos); } int Reset(int N, int pos) { return N = N & ~(1 << pos); } bool Chkbit(int N, int pos) { return (bool)(N & (1 << pos)); } bool isVowel(char ch) { ch = toupper(ch); if (ch == 'A' || ch == 'U' || ch == 'I' || ch == 'O' || ch == 'E') return true; return false; } bool isConst(char ch) { if (isalpha(ch) && !isVowel(ch)) return true; return false; } int toInt(string s) { int sm; stringstream ss(s); ss >> sm; return sm; } long long int toLlint(string s) { long long int sm; stringstream ss(s); ss >> sm; return sm; } struct Matrix { long long int ar[22][22]; }; int k; Matrix MUL(Matrix a, Matrix b) { Matrix ans; for (int i = 0; i < k; i++) { for (int j = 0; j < k; j++) { ans.ar[i][j] = 0; for (int kk = 0; kk < k; kk++) { ans.ar[i][j] = (ans.ar[i][j] + a.ar[i][kk] * b.ar[kk][j]) % 1000000007; } } } return ans; } Matrix Unit; Matrix Big_Mod(Matrix a, int n) { Matrix ans = Unit; while (n) { if (n & 1) { ans = MUL(ans, a); } a = MUL(a, a); n /= 2; } return ans; } int a[22][22]; Matrix Base; int dx[] = {1, -1, 0, 0, 0}; int dy[] = {0, 0, -1, 1, 0}; int n, m, q; int Id[22][22]; void MakeBaseMatrix() { for (int i = 0; i < k; i++) { for (int j = 0; j < k; j++) { Base.ar[i][j] = 0; } } for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { if (a[i][j] == 0) continue; for (int kk = 0; kk < 5; kk++) { int first = i + dx[kk], second = j + dy[kk]; if (first >= 0 && first < n && second >= 0 && second < m) { Base.ar[Id[i][j]][Id[first][second]] = 1; } } } } } void Dekhi() { int id = 0; for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { Id[i][j] = id++; } } } void Prnt(Matrix aa) { for (int i = 0; i < k; i++) { for (int j = 0; j < k; j++) { cout << aa.ar[i][j] << " "; } printf("\n"); } printf("\n"); } int main() { n = in<int>(), m = in<int>(), q = in<int>(); k = n * m; Matrix now; int pv = 1; for (int i = 0; i < k; i++) { for (int j = 0; j < k; j++) { a[i][j] = 1; } } Dekhi(); memset(now.ar, 0, sizeof(now.ar)); for (int i = 0; i < k; i++) now.ar[i][i] = 1; Unit = now; for (int i = 0; i < q; i++) { int tp, x, y, t; tp = in<int>(), x = in<int>(), y = in<int>(); t = in<int>(); x--, y--; int baki = (t - pv); if (tp == 1) { MakeBaseMatrix(); Matrix tp = Big_Mod(Base, baki); now = MUL(tp, now); printf("%lld\n", now.ar[Id[x][y]][0]); pv = t; } else if (tp == 2) { MakeBaseMatrix(); Matrix tp = Big_Mod(Base, baki - 1); now = MUL(tp, now); a[x][y] = 0; pv = t - 1; } else { MakeBaseMatrix(); Matrix tp = Big_Mod(Base, baki); now = MUL(tp, now); a[x][y] = 1; pv = t; } } return 0; }
#include <bits/stdc++.h> using namespace std; int n, m, q; int a[22][22], cur[22], tmp[22][22], tmp2[22][22], cat[22]; int dx[5] = {0, 0, 0, 1, -1}; int dy[] = {0, 1, -1, 0, 0}; map<pair<int, int>, int> ma; int mod = 1000000007; void mul(int p) { for (int i = 1; i < n * m + 1; ++i) for (int j = 1; j < n * m + 1; ++j) { tmp[i][j] = a[i][j]; } while (p > 0) { if (p & 1) { for (int i = 1; i < n * m + 1; ++i) { int s = 0; for (int k = 1; k < n * m + 1; ++k) { s += (tmp[i][k] * 1ll * cur[k]) % mod; if (s >= mod) s -= mod; } tmp2[i][1] = s; } for (int i = 1; i < n * m + 1; ++i) { cur[i] = tmp2[i][1]; } } p /= 2; for (int i = 1; i < 1 + n * m; ++i) for (int j = 1; j < 1 + n * m; ++j) { int s = 0; for (int k = 1; k < n * m + 1; ++k) { s += (tmp[i][k] * 1ll * tmp[k][j]) % mod; if (s >= mod) s -= mod; } tmp2[i][j] = s; } for (int i = 1; i < n * m + 1; ++i) for (int j = 1; j < 1 + n * m; ++j) { tmp[i][j] = tmp2[i][j]; } } } int main() { scanf("%d", &n); scanf("%d", &m); scanf("%d", &q); int x = 0; for (int i = 1; i < 1 + n; ++i) for (int j = 1; j < 1 + m; ++j) { ma[make_pair(i, j)] = ++x; } for (int i = 1; i < 1 + n; ++i) for (int j = 1; j < 1 + m; ++j) { for (int k = 0; k < 5; ++k) if (i + dx[k] > 0 && i + dx[k] <= n && j + dy[k] >= 1 && j + dy[k] <= m) { a[ma[make_pair(i, j)]][ma[make_pair(i + dx[k], j + dy[k])]] = 1; } } int curt = 1; cur[1] = 1; for (int i = 0; i < q; ++i) { int tp, x, y, t; scanf("%d", &tp); scanf("%d", &x); scanf("%d", &y); scanf("%d", &t); int len = t - curt; curt = t; mul(len); if (tp == 1) { printf("%d\n", cur[ma[make_pair(x, y)]]); } else if (tp == 2) { for (int k = 0; k < 5; ++k) if (x + dx[k] > 0 && x + dx[k] <= n && y + dy[k] >= 1 && y + dy[k] <= m) { int p1 = ma[make_pair(x, y)]; int p2 = ma[make_pair(x + dx[k], y + dy[k])]; a[p1][p2] = a[p2][p1] = 0; } cat[ma[make_pair(x, y)]] = 1; cur[ma[make_pair(x, y)]] = 0; } else { cat[ma[make_pair(x, y)]] = 0; for (int k = 0; k < 5; ++k) if (x + dx[k] > 0 && x + dx[k] <= n && y + dy[k] >= 1 && y + dy[k] <= m) { int p1 = ma[make_pair(x, y)]; int p2 = ma[make_pair(x + dx[k], y + dy[k])]; if (!cat[p2]) a[p1][p2] = a[p2][p1] = 1; } } } return 0; }
#include <bits/stdc++.h> using namespace std; const int BASE = 1e9 + 7; const int N = 25; int n, m, q; bool ban[N]; int dx[] = {0, -1, +0, +1, +0}; int dy[] = {0, +0, +1, +0, -1}; long long dp[N], f[N]; struct Matrix { static const int N = 23; int n; long long a[N][N]; void Init(int _n, int v) { n = _n; for (int i = 0; i < n; ++i) for (int j = 0; j < n; ++j) a[i][j] = v; } Matrix operator*(const Matrix &that) const { Matrix ans; ans.Init(n, 0); for (int i = 0; i < n; ++i) for (int j = 0; j < n; ++j) for (int k = 0; k < n; ++k) if (!ban[i] && !ban[j] && !ban[k]) ans.a[i][j] = (ans.a[i][j] + a[i][k] * that.a[k][j]) % BASE; return ans; } void Write() { for (int i = 0; i < n; ++i) { for (int j = 0; j < n; ++j) printf("%d ", a[i][j]); printf("\n"); } } }; Matrix a; int ID(int x, int y) { return x * m + y; } bool Inside(int x, int y) { return 0 <= x && x < n && 0 <= y && y < m; } void Update(int x, int y, int add) { for (int k = 0; k <= 4; ++k) { int i = x + dx[k], j = y + dy[k]; if (Inside(i, j)) { int u = ID(x, y), v = ID(i, j); if (add == 1 && (ban[u] || ban[v])) continue; a.a[u][v] = add; a.a[v][u] = add; } } } Matrix Pow(Matrix a, long long p) { Matrix ans; ans = a; --p; while (p) { if (p & 1) ans = ans * a; a = a * a; p >>= 1; } return ans; } void Restore(Matrix ans) { memset(f, 0, sizeof f); for (int i = 0; i < n * m; ++i) for (int j = 0; j < n * m; ++j) f[i] = (f[i] + dp[j] * ans.a[j][i]) % BASE; for (int i = 0; i < n * m; ++i) dp[i] = f[i]; } int main() { scanf("%d%d%d", &n, &m, &q); a.Init(n * m, 0); for (int i = 0; i < n; ++i) for (int j = 0; j < m; ++j) Update(i, j, 1); int pret = 1; dp[0] = 1; while (q--) { int op, x, y, t; scanf("%d%d%d%d", &op, &x, &y, &t); --x; --y; Matrix ans = Pow(a, t - pret); Restore(ans); if (op == 1) printf("%I64d\n", dp[ID(x, y)]); else { ban[ID(x, y)] ^= 1; Update(x, y, op == 2 ? 0 : 1); } pret = t; } return 0; }
#include <bits/stdc++.h> using namespace std; const int MOD = 1000000007; const int dx[] = {0, 0, -1, 1}; const int dy[] = {-1, 1, 0, 0}; int n, m, q; int check(int x, int y) { return (0 < x) && (x <= n) && (0 < y) && (y <= m); } int id(int x, int y) { return (x - 1) * m + y - 1; } int add_mod(long long a, long long b) { return (a + b) % MOD; } int mul_mod(long long a, long long b) { return a * b % MOD; } struct Matrix { int r, c; vector<vector<int> > a; Matrix(int r, int c, int d = 0) : r(r), c(c) { a.assign(r, vector<int>(c, 0)); for (int i = 0; (i < r) && (i < c); i++) a[i][i] = d; } vector<int>& operator[](int i) { return a[i]; } const vector<int>& operator[](int i) const { return a[i]; } Matrix operator*(const Matrix& B) const { Matrix ans(r, B.c); for (int i = 0; i < r; i++) for (int j = 0; j < B.c; j++) for (int k = 0; k < c; k++) ans[i][j] = add_mod(ans[i][j], mul_mod(a[i][k], B[k][j])); return ans; } Matrix pow(int p) const { Matrix ans(r, c, 1), a(*this); for (; p > 0; p >>= 1) { if (p & 1) ans = ans * a; a = a * a; } return ans; } void set(int x, int y) { a[id(x, y)][id(x, y)] = 1; for (int k = 0; k < 4; k++) if (check(x + dx[k], y + dy[k])) a[id(x, y)][id(x + dx[k], y + dy[k])] = 1; } void clear(int x, int y) { for (int i = 0; i < c; i++) a[id(x, y)][i] = 0; } }; int main() { scanf("%d%d%d", &n, &m, &q); Matrix f(n * m, n * m); for (int x = 1; x <= n; x++) for (int y = 1; y <= m; y++) f.set(x, y); int cur = 1; Matrix a(n * m, 1); a[0][0] = 1; while (q--) { int k, x, y, t; scanf("%d%d%d%d", &k, &x, &y, &t); t -= cur; cur += t; if (k == 1) { a = f.pow(t) * a; printf("%d\n", a[id(x, y)][0]); } else if (k == 2) { a = f.pow(t) * a; f.clear(x, y); a[id(x, y)][0] = 0; } else { a = f.pow(t) * a; f.set(x, y); } } }
#include <bits/stdc++.h> using namespace std; template <typename T> T in() { char ch; T n = 0; bool ng = false; while (1) { ch = getchar(); if (ch == '-') { ng = true; ch = getchar(); break; } if (ch >= '0' && ch <= '9') break; } while (1) { n = n * 10 + (ch - '0'); ch = getchar(); if (ch < '0' || ch > '9') break; } return (ng ? -n : n); } template <typename T> inline T Dist(T x1, T y1, T x2, T y2) { return sqrt((x1 - x2 * x1 - x2) + (y1 - y2 * y1 - y2)); } template <typename T> inline T POW(T B, T P) { if (P == 0) return 1; if (P & 1) return B * POW(B, P - 1); else return (POW(B, P / 2) * POW(B, P / 2)); } template <typename T> inline T ABS(T a) { if (a < 0) return -a; else return a; } template <typename T> inline T Gcd(T a, T b) { if (a < 0) return Gcd(-a, b); if (b < 0) return Gcd(a, -b); return (b == 0) ? a : Gcd(b, a % b); } template <typename T> inline T Lcm(T a, T b) { if (a < 0) return Lcm(-a, b); if (b < 0) return Lcm(a, -b); return a * (b / Gcd(a, b)); } long long Bigmod(long long base, long long power, long long MOD) { long long ret = 1; while (power) { if (power & 1) ret = (ret * base) % MOD; base = (base * base) % MOD; power >>= 1; } return ret; } long long ModInverse(long long number, long long MOD) { return Bigmod(number, MOD - 2, MOD); } int Set(int N, int pos) { return N = N | (1 << pos); } int Reset(int N, int pos) { return N = N & ~(1 << pos); } bool Chkbit(int N, int pos) { return (bool)(N & (1 << pos)); } bool isVowel(char ch) { ch = toupper(ch); if (ch == 'A' || ch == 'U' || ch == 'I' || ch == 'O' || ch == 'E') return true; return false; } bool isConst(char ch) { if (isalpha(ch) && !isVowel(ch)) return true; return false; } int toInt(string s) { int sm; stringstream ss(s); ss >> sm; return sm; } long long int toLlint(string s) { long long int sm; stringstream ss(s); ss >> sm; return sm; } struct Matrix { long long int ar[22][22]; }; int k; Matrix MUL(Matrix a, Matrix b) { Matrix ans; for (int i = 0; i < k; i++) { for (int j = 0; j < k; j++) { ans.ar[i][j] = 0; for (int kk = 0; kk < k; kk++) { ans.ar[i][j] = (ans.ar[i][j] + a.ar[i][kk] * b.ar[kk][j]); if (ans.ar[i][j] >= 1000000007) ans.ar[i][j] %= 1000000007; } } } return ans; } Matrix Unit; Matrix Big_Mod(Matrix a, int n) { Matrix ans = Unit; while (n) { if (n & 1) { ans = MUL(ans, a); } a = MUL(a, a); n /= 2; } return ans; } int a[22][22]; Matrix Base; int dx[] = {1, -1, 0, 0, 0}; int dy[] = {0, 0, -1, 1, 0}; int n, m, q; int Id[22][22]; void MakeBaseMatrix() { for (int i = 0; i < k; i++) { for (int j = 0; j < k; j++) { Base.ar[i][j] = 0; } } for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { if (a[i][j] == 0) continue; for (int kk = 0; kk < 5; kk++) { int first = i + dx[kk], second = j + dy[kk]; if (first >= 0 && first < n && second >= 0 && second < m && a[first][second]) { Base.ar[Id[i][j]][Id[first][second]] = 1; } } } } } void Dekhi() { int id = 0; for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { Id[i][j] = id++; } } } void Prnt(Matrix aa) { for (int i = 0; i < k; i++) { for (int j = 0; j < k; j++) { cout << aa.ar[i][j] << " "; } printf("\n"); } printf("\n"); } int main() { n = in<int>(), m = in<int>(), q = in<int>(); k = n * m; Matrix now; int pv = 1; for (int i = 0; i < k; i++) { for (int j = 0; j < k; j++) { a[i][j] = 1; } } Dekhi(); memset(now.ar, 0, sizeof(now.ar)); for (int i = 0; i < k; i++) now.ar[i][i] = 1; Unit = now; for (int i = 0; i < q; i++) { int tp, x, y, t; tp = in<int>(), x = in<int>(), y = in<int>(); t = in<int>(); x--, y--; int baki = (t - pv); if (tp == 1) { MakeBaseMatrix(); Matrix tp = Big_Mod(Base, baki); now = MUL(tp, now); printf("%lld\n", now.ar[Id[x][y]][0]); pv = t; } else if (tp == 2) { MakeBaseMatrix(); Matrix tp = Big_Mod(Base, baki); now = MUL(tp, now); a[x][y] = 0; pv = t; } else { MakeBaseMatrix(); Matrix tp = Big_Mod(Base, baki); now = MUL(tp, now); a[x][y] = 1; pv = t; } } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 1e5 + 5; const int Mat_SIZE = 21; const int MOD = 1e9 + 7; const int INF = 0x3f3f3f3f; int szz; struct Matrix { int mat[Mat_SIZE][Mat_SIZE]; void init() { for (int i = 0; i < szz; i++) for (int j = 0; j < szz; j++) mat[i][j] = 0; } void init_base() { init(); for (int i = 0; i < szz; i++) mat[i][i] = 1; } void display() { for (int i = 0; i < szz; i++) { for (int j = 0; j < szz; j++) cout << mat[i][j] << ' '; cout << endl; } } } base, A; Matrix operator*(const Matrix &a, const Matrix &b) { Matrix c; for (int i = 0; i < szz; i++) for (int j = 0; j < szz; j++) { c.mat[i][j] = 0; for (int k = 0; k < szz; k++) c.mat[i][j] = (c.mat[i][j] + (long long)a.mat[i][k] * b.mat[k][j] % MOD) % MOD; } return c; } Matrix operator^(Matrix a, int k) { Matrix ret; ret.init_base(); while (k) { if (k & 1) ret = ret * a; a = a * a; k >>= 1; } return ret; } int n, m, q, ty, x, y, t; int cat[Mat_SIZE][Mat_SIZE]; int dx[4] = {0, 0, -1, 1}; int dy[4] = {-1, 1, 0, 0}; int id(int x, int y) { return x * m + y; } bool ing(int x, int y) { if (x < 0 || x >= n) return false; if (y < 0 || y >= m) return false; return true; } void get_base() { base.init(); for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) { if (!cat[i][j]) base.mat[id(i, j)][id(i, j)] = 1; for (int k = 0; k < 4; k++) { int nx = i + dx[k]; int ny = j + dy[k]; if (!ing(nx, ny) || cat[nx][ny]) continue; base.mat[id(i, j)][id(nx, ny)] = 1; } } } int main() { scanf("%d%d%d", &n, &m, &q); szz = n * m; get_base(); A.init(); A.mat[0][0] = 1; int curx = 0, cury = 0, curt = 1; for (int i = 0; i < q; i++) { scanf("%d%d%d%d", &ty, &x, &y, &t); x--; y--; if (ty == 1) { A = A * (base ^ (t - curt)); printf("%d\n", A.mat[0][id(x, y)]); } else if (ty == 2) { A = A * (base ^ (t - curt - 1)); cat[x][y] = 1; for (int k = 0; k < 4; k++) { int nx = x + dx[k]; int ny = y + dy[k]; if (!ing(nx, ny)) continue; base.mat[id(nx, ny)][id(x, y)] = 0; base.mat[id(x, y)][id(nx, ny)] = cat[nx][ny] ^ 1; } base.mat[id(x, y)][id(x, y)] = 0; A = A * base; } else { A = A * (base ^ (t - curt)); cat[x][y] = 0; for (int k = 0; k < 4; k++) { int nx = x + dx[k]; int ny = y + dy[k]; if (!ing(nx, ny)) continue; base.mat[id(nx, ny)][id(x, y)] = 1; base.mat[id(x, y)][id(nx, ny)] = cat[nx][ny] ^ 1; } base.mat[id(x, y)][id(x, y)] = 1; } curx = x; cury = y; curt = t; } return 0; }
#include <bits/stdc++.h> using namespace std; constexpr long long int asdfa = 1000000007; array<array<long long int, 20>, 20> id; array<array<long long int, 20>, 20> operator*( array<array<long long int, 20>, 20> a, array<array<long long int, 20>, 20> b) { array<array<long long int, 20>, 20> ret; for (int i = 0; i < 20; ++i) { for (int j = 0; j < 20; ++j) { ret[i][j] = 0; for (int k = 0; k < 20; ++k) { ret[i][j] += a[i][k] * b[k][j]; ret[i][j] %= asdfa; } } } return ret; } array<array<long long int, 20>, 20> mpow(array<array<long long int, 20>, 20> x, int e) { if (e == 0) return id; array<array<long long int, 20>, 20> s = mpow(x, e / 2); s = s * s; if (e & 1) s = s * x; return s; } int n, m, q; bool cat[20]; array<array<long long int, 20>, 20> mat; int di[5] = {-1, 0, 1, 0, 0}; int dj[5] = {0, -1, 0, 1, 0}; void recomp() { for (int i = 0; i < 20; ++i) { for (int j = 0; j < 20; ++j) { mat[i][j] = 0; } } for (int i = 0; i < n; ++i) { for (int j = 0; j < m; ++j) { if (cat[m * i + j]) continue; for (int d = 0; d < 5; ++d) { int i2 = i + di[d]; int j2 = j + dj[d]; if (i2 == -1 || i2 == n || j2 == -1 || j2 == m) continue; mat[m * i2 + j2][m * i + j] = 1; } } } } int main() { cin.sync_with_stdio(false); cin.tie(nullptr); cin >> n >> m >> q; array<array<long long int, 20>, 20> xd; for (int i = 0; i < 20; ++i) { for (int j = 0; j < 20; ++j) { id[i][j] = (i == j ? 1 : 0); xd[i][j] = ((i == j && j == 0) ? 1 : 0); } } int oldt = 1; recomp(); for (int i = 0; i < q; ++i) { int tp, x, y, t; cin >> tp >> x >> y >> t; --x; --y; xd = mpow(mat, t - oldt) * xd; for (int i = 0; i < n * m; ++i) { if (cat[i]) { for (int j = 0; j < n * m; ++j) { xd[i][j] = 0; } } } if (tp == 1) { cout << xd[m * x + y][0] << '\n'; } else if (tp == 2) { cat[m * x + y] = true; recomp(); } else { cat[m * x + y] = false; recomp(); } oldt = t; } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 10010; const int L = 20 + 3; const long long MOD = 1e9 + 7; const long long MM = 8e18; int f[L][L]; int n, m, q; struct Matrix { int l; long long f[L][L]; Matrix() { memset(f, 0, sizeof(f)), l = 0; } } f1, f2; struct Query { int tp, x, y, t; } g[N]; long long ans[N]; int l[5] = {0, 1, -1, 0, 0}; int r[5] = {0, 0, 0, 1, -1}; Matrix Mul(Matrix x, Matrix y) { Matrix z; z.l = x.l; for (int i = 1; i <= z.l; i++) for (int j = 1; j <= z.l; j++) { z.f[i][j] = 0; for (int k = 1; k <= z.l; k++) { z.f[i][j] += x.f[i][k] * y.f[k][j]; if (z.f[i][j] >= MM) z.f[i][j] %= MOD; } if (z.f[i][j] >= MOD) z.f[i][j] %= MOD; } return z; } Matrix initial(int l) { Matrix x; x.l = l; for (int i = 1; i <= l; i++) for (int j = 1; j <= l; j++) x.f[i][j] = (i == j ? 1 : 0); return x; } Matrix ksm(Matrix a, int b) { Matrix x = initial(n * m); while (b > 0) { if (b & 1) x = Mul(x, a); b >>= 1; a = Mul(a, a); } return x; } bool outside(int x, int y) { if (x <= 0 || y <= 0 || x > n || y > m) return true; return false; } void add(int x, int y) { int nx, ny; f2.f[f[x][y]][f[x][y]] = 1; for (int i = 1; i <= 4; i++) { nx = x + l[i], ny = y + r[i]; if (outside(nx, ny)) continue; f2.f[f[nx][ny]][f[x][y]] = 1; } } void del(int x, int y) { int nx, ny; f2.f[f[x][y]][f[x][y]] = 0; for (int i = 1; i <= 4; i++) { nx = x + l[i], ny = y + r[i]; if (outside(nx, ny)) continue; f2.f[f[nx][ny]][f[x][y]] = 0; } } void init() { scanf("%d%d%d", &n, &m, &q); for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++) f[i][j] = (i - 1) * m + j; for (int i = 1; i <= q; i++) scanf("%d%d%d%d", &g[i].tp, &g[i].x, &g[i].y, &g[i].t); f1.l = f2.l = n * m; f1.f[1][1] = 1; for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++) add(i, j); } void work() { int now; g[0].t = 1; for (int i = 1; i <= q; i++) { f1 = Mul(f1, ksm(f2, g[i].t - g[i - 1].t)); now = f[g[i].x][g[i].y]; switch (g[i].tp) { case 1: ans[i] = f1.f[1][now]; ans[i] %= MOD; break; case 2: del(g[i].x, g[i].y); f1.f[1][now] = 0; break; case 3: add(g[i].x, g[i].y); break; default: break; } } for (int i = 1; i <= q; i++) if (g[i].tp == 1) printf("%I64d\n", ans[i]); } int main() { init(); work(); return 0; }
#include <bits/stdc++.h> using namespace std; long long L(long long x) { return x >= 1000000007 ? x % 1000000007 : x; } struct matrix { int N, M; long long a[22][22]; matrix() {} matrix(const matrix& A) { N = A.N, M = A.M; for (int i = 1; i <= N; i++) for (int j = 1; j <= M; j++) a[i][j] = A.a[i][j]; } matrix& operator=(const matrix& A) { N = A.N, M = A.M; for (int i = 1; i <= N; i++) for (int j = 1; j <= M; j++) a[i][j] = A.a[i][j]; return *this; } void init(int _N, int _M) { N = _N, M = _M; for (int i = 1; i <= N; i++) for (int j = 1; j <= M; j++) a[i][j] = 0; } matrix operator*(const matrix& A) const { matrix ret; ret.init(N, A.M); for (int i = 1; i <= N; i++) for (int j = 1; j <= A.M; j++) for (int k = 1; k <= M; k++) ret.a[i][j] = L(ret.a[i][j] + L(a[i][k] * A.a[k][j])); return ret; } matrix operator^(long long x) const { matrix ret, A(*this); ret.init(N, N); for (int i = 1; i <= N; i++) ret.a[i][i] = 1; while (x) { if (x & 1) ret = ret * A; A = A * A; x >>= 1; } return ret; } }; int n, m, q, a[10002][4]; matrix A, DP; int gt(int i, int j) { return (i - 1) * m + j; } int main() { scanf("%d%d%d", &n, &m, &q); for (int i = 1; i <= q; i++) { for (int j = 0; j < 4; j++) scanf("%d", &a[i][j]); if (a[i][0] == 2) a[i][3]--; } a[0][3] = 1; A.init(n * m, 1); A.a[gt(1, 1)][1] = 1; DP.init(n * m, n * m); for (int i = 1; i <= n; i++) { for (int j = 1; j <= m; j++) { if (i > 1) DP.a[gt(i, j)][gt(i - 1, j)] = 1; if (i < n) DP.a[gt(i, j)][gt(i + 1, j)] = 1; if (j > 1) DP.a[gt(i, j)][gt(i, j - 1)] = 1; if (j < m) DP.a[gt(i, j)][gt(i, j + 1)] = 1; DP.a[gt(i, j)][gt(i, j)] = 1; } } for (int qq = 1; qq <= q; qq++) { A = (DP ^ (a[qq][3] - a[qq - 1][3])) * A; int i = a[qq][1], j = a[qq][2]; if (a[qq][0] == 1) { printf("%lld\n", A.a[gt(i, j)][1]); } if (a[qq][0] == 2) { if (i > 1) DP.a[gt(i, j)][gt(i - 1, j)] = 0; if (i < n) DP.a[gt(i, j)][gt(i + 1, j)] = 0; if (j > 1) DP.a[gt(i, j)][gt(i, j - 1)] = 0; if (j < m) DP.a[gt(i, j)][gt(i, j + 1)] = 0; DP.a[gt(i, j)][gt(i, j)] = 0; } if (a[qq][0] == 3) { if (i > 1) DP.a[gt(i, j)][gt(i - 1, j)] = 1; if (i < n) DP.a[gt(i, j)][gt(i + 1, j)] = 1; if (j > 1) DP.a[gt(i, j)][gt(i, j - 1)] = 1; if (j < m) DP.a[gt(i, j)][gt(i, j + 1)] = 1; DP.a[gt(i, j)][gt(i, j)] = 1; } } return 0; }
#include <bits/stdc++.h> using namespace std; template <class T> inline bool RD(T &ret) { char c; int sgn; if (c = getchar(), c == EOF) return 0; while (c != '-' && (c < '0' || c > '9')) c = getchar(); sgn = (c == '-') ? -1 : 1, ret = (c == '-') ? 0 : (c - '0'); while (c = getchar(), c >= '0' && c <= '9') ret = ret * 10 + (c - '0'); ret *= sgn; return 1; } template <class T> inline void PT(T x) { if (x < 0) putchar('-'), x = -x; if (x > 9) PT(x / 10); putchar(x % 10 + '0'); } const int N = 22; const int MOD = 1e9 + 7; struct mat { int a[N][N]; mat() { memset(a, 0, sizeof(a)); } int r, c; mat operator*(const mat &m) const { mat ans; ans.r = r; ans.c = m.c; for (int i = 1; i <= int(r); i++) for (int j = 1; j <= int(ans.c); j++) for (int k = 1; k <= int(c); k++) { ans.a[i][j] += ((unsigned long long)a[i][k] * m.a[k][j]) % MOD; if (ans.a[i][j] >= MOD) ans.a[i][j] -= MOD; } return ans; } }; void quickpow(mat &ans, mat m, int k) { if (k == 1) { ans = m; return; } if (k % 2 == 0) { quickpow(ans, m, k / 2); ans = ans * ans; return; } quickpow(ans, m, k / 2); ans = ans * ans; ans = ans * m; } int r, c, Q; bool mp[N][N]; mat A, M; inline int f(int x, int y) { return (x - 1) * c + y; } int dx[4] = {0, 1, 0, -1}; int dy[4] = {1, 0, -1, 0}; bool ok(int x, int y) { return x >= 1 && x <= r && y >= 1 && y <= c && !mp[x][y]; } void build() { memset(M.a, 0, sizeof(M.a)); M.r = r * c; M.c = r * c; for (int x = 1; x <= int(r); x++) for (int y = 1; y <= int(c); y++) { for (int k = 0; k < int(4); k++) { int nx = x + dx[k]; int ny = y + dy[k]; if (ok(nx, ny) && !mp[x][y]) M.a[f(x, y)][f(nx, ny)] = 1; } if (!mp[x][y]) M.a[f(x, y)][f(x, y)] = 1; } } int main() { scanf("%d%d%d", &r, &c, &Q); int last = 1; A.r = r * c; A.c = 1; A.a[1][1] = 1; for (int i = 1; i <= int(Q); i++) { int op; RD(op); int x, y, t; RD(x), RD(y), RD(t); build(); mat tmp; quickpow(tmp, M, t - last); A = tmp * A; last = t; if (op == 1) printf("%d\n", A.a[f(x, y)][1]); else if (op == 2) A.a[f(x, y)][1] = 0, mp[x][y] = 1; else mp[x][y] = 0; } }
#include <bits/stdc++.h> using namespace std; int M[44][44], Me[44][44], V[44], Ve[44], C[44][44], x, y, n; void build() { int a, b, A, B, i, j, k; for (i = 0; i < n; i++) for (j = 0; j < n; j++) { a = i / y; b = i % y; A = j / y; B = j % y; k = abs(A - a) + abs(B - b); if (k <= 1 && C[a][b] == 0 && C[A][B] == 0) M[i][j] = 1; else M[i][j] = 0; } } int main() { int i, j, k, l, q, a, b, t = 1, e, mod = 1000000007; V[0] = 1; scanf("%d%d%d", &x, &y, &q); n = x * y; while (q--) { build(); scanf("%d%d%d%d", &l, &a, &b, &k); --a; --b; e = k - t; t = k; while (1) { if (e & 1) { for (i = 0; i < n; i++) for (Ve[i] = j = 0; j < n; j++) Ve[i] = (Ve[i] + M[i][j] * (long long)V[j]) % mod; for (i = 0; i < n; i++) V[i] = Ve[i]; } e >>= 1; if (e == 0) break; for (i = 0; i < n; i++) for (j = 0; j < n; j++) for (Me[i][j] = k = 0; k < n; k++) Me[i][j] = (Me[i][j] + M[i][k] * (long long)M[k][j]) % mod; for (i = 0; i < n; i++) for (j = 0; j < n; j++) M[i][j] = Me[i][j]; } if (l == 3) { V[a * y + b] = 0; C[a][b] = 0; } if (l == 2) { V[a * y + b] = 0; C[a][b] = 1; } if (l == 1) printf("%d\n", V[a * y + b]); } return 0; }
#include <bits/stdc++.h> using namespace std; const long long mod = 1e9 + 7; struct Mat { long long m[20][20]; void init() { memset(m, 0, sizeof(m)); } }; struct Vector { long long m[20]; void init() { memset(m, 0, sizeof(m)); } }; int md; Mat operator*(const Mat &a, const Mat &b) { Mat ans; ans.init(); for (int i = 0; i < md; i++) for (int j = 0; j < md; j++) for (int k = 0; k < md; k++) ans.m[i][j] = (ans.m[i][j] + a.m[i][k] * b.m[k][j]) % mod; return ans; } Vector operator*(const Mat &a, const Vector &b) { Vector tmp; tmp.init(); for (int i = 0; i < md; i++) for (int j = 0; j < md; j++) tmp.m[i] = (tmp.m[i] + a.m[i][j] * b.m[j]) % mod; return tmp; } Mat operator^(Mat &a, int n) { Mat ans; ans.init(); for (int i = 0; i < md; i++) ans.m[i][i] = 1; while (n) { if (n & 1) ans = ans * a; a = a * a; n /= 2; } return ans; } int dir[5][2] = {{-1, 0}, {1, 0}, {0, 1}, {0, -1}, {0, 0}}; int mp[20][20], n, m; void generate_matrix(Mat &a) { a.init(); for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) { if (mp[i][j]) continue; for (int k = 0; k < 5; k++) { int nx = i + dir[k][0], ny = j + dir[k][1]; if (nx < 0 || nx >= n || ny < 0 || ny >= m || mp[nx][ny]) continue; a.m[i * m + j][nx * m + ny] = 1; } } } int main() { int q; scanf("%d%d%d", &n, &m, &q); md = n * m; memset(mp, 0, sizeof(mp)); int lasttime = 1; Mat a; Vector ans; ans.init(); ans.m[0] = 1; while (q--) { int tp, x, y, t; scanf("%d%d%d%d", &tp, &x, &y, &t); --x, --y; generate_matrix(a); ans = (a ^ (t - lasttime)) * ans; lasttime = t; if (tp == 1) printf("%I64d\n", ans.m[x * m + y]); else if (tp == 2) mp[x][y] = 1, ans.m[x * m + y] = 0; else mp[x][y] = 0; } return 0; }
#include <bits/stdc++.h> using namespace std; const int dx[5] = {0, 0, 1, -1, 0}; const int dy[5] = {1, -1, 0, 0, 0}; const int MOD = 1e9 + 7; const int L = 20 + 1; int n, m, q, D; int aux[L][L], res[L][L], crt[L][L], C[L][L], mat[L][L]; int v[L], cv[L]; bool mode[L]; int code(int i, int j) { return (m * (i - 1) + j); } void copiaza(int A[L][L], int B[L][L]) { for (int i = 1; i <= D; ++i) for (int j = 1; j <= D; ++j) A[i][j] = B[i][j]; } void init(int A[L][L]) { for (int i = 1; i <= D; ++i) for (int j = 1; j <= D; ++j) A[i][j] = (i == j); } void inm(int A[L][L], int B[L][L], int C[L][L]) { for (int i = 1; i <= D; ++i) for (int j = 1; j <= D; ++j) { A[i][j] = 0; for (int it = 1; it <= D; ++it) A[i][j] = (A[i][j] + 1LL * B[i][it] * C[it][j]) % MOD; } } void putere(int P) { init(res); copiaza(crt, mat); for (int i = 0; (1 << i) <= P; ++i) { if (P & (1 << i)) { inm(aux, res, crt); copiaza(res, aux); } inm(aux, crt, crt); copiaza(crt, aux); } copiaza(mat, res); } void build() { for (int i = 1; i <= n; ++i) for (int j = 1; j <= m; ++j) for (int k = 0; k < 5; ++k) { int newl = i + dx[k]; int newc = j + dy[k]; if (1 <= newl && newl <= n && 1 <= newc && newc <= m) mat[code(i, j)][code(newl, newc)] = (!mode[code(i, j)] && !mode[code(newl, newc)]); } } void makeDp() { memset(cv, 0, sizeof(cv)); for (int i = 1; i <= D; ++i) for (int j = 1; j <= D; ++j) cv[i] = (cv[i] + 1LL * mat[i][j] * v[j]) % MOD; for (int i = 1; i <= D; ++i) v[i] = cv[i]; } int main() { scanf("%d %d %d", &n, &m, &q); D = n * m; build(); v[1] = 1; for (int tip, x, y, tmp, lastTmp = 1; q; --q) { scanf("%d %d %d %d", &tip, &x, &y, &tmp); copiaza(C, mat); putere(tmp - lastTmp); makeDp(); copiaza(mat, C); if (tip == 1) printf("%d\n", v[code(x, y)]); else { mode[code(x, y)] ^= 1; build(); } lastTmp = tmp; } return 0; }
#include <bits/stdc++.h> using namespace std; int ri() { int x; scanf("%d", &x); return x; } const int V = 20, P = 1000000007; int n, m, v, S[V], A[V][V], B[V][V], T[V][V]; void change(int x, int y) { A[x][x] = y; if (x % m) A[x][x - 1] = y; if (x % m + 1 < m) A[x][x + 1] = y; if (x >= m) A[x][x - m] = y; if (x + m < v) A[x][x + m] = y; } void move(int p) { for (int i = 0; i < (v); i++) copy_n(A[i], v, B[i]); for (; p; p >>= 1) { if (p & 1) { for (int i = 0; i < (v); i++) { T[0][i] = 0; for (int j = 0; j < (v); j++) T[0][i] = (T[0][i] + int64_t(B[i][j]) * S[j]) % P; } copy_n(T[0], v, S); } for (int i = 0; i < (v); i++) fill_n(T[i], v, 0); for (int i = 0; i < (v); i++) for (int k = 0; k < (v); k++) for (int j = 0; j < (v); j++) T[i][j] = (T[i][j] + int64_t(B[i][k]) * B[k][j]) % P; for (int i = 0; i < (v); i++) copy_n(T[i], v, B[i]); } } int main() { n = ri(); m = ri(); v = n * m; int q = ri(), tt = 1; S[0] = 1; for (int i = 0; i < (v); i++) change(i, 1); while (q--) { int op = ri(), x = ri() - 1, y = ri() - 1, t = ri(); move(t - tt); tt = t; if (op == 1) printf("%d\n", S[x * m + y]); else if (op == 2) { change(x * m + y, 0); S[x * m + y] = 0; } else change(x * m + y, 1); } }
#include <bits/stdc++.h> using namespace std; static inline void _mod(long long &x) { if (x >= 1000000007) { if (x < 2 * 1000000007) x -= 1000000007; else x %= 1000000007; } } static inline long long madd(long long x, long long y) { x += y; _mod(x); return x; } static inline long long mmul(long long x, long long y) { x *= y; _mod(x); return x; } struct M { int n; int a[20][20]; inline M() { memset(a, 0, sizeof(a)); } inline M(int x) { n = x; memset(a, 0, sizeof(a)); for (int i = (0); i < (n); i++) a[i][i] = 1; } void inline operator*=(M p) { int ret[20][20]; for (int i = (0); i < (n); i++) for (int j = (0); j < (n); j++) { ret[i][j] = 0; for (int k = (0); k < (n); k++) ret[i][j] = madd(ret[i][j], mmul(a[i][k], p.a[k][j])); } for (int i = (0); i < (n); i++) for (int j = (0); j < (n); j++) a[i][j] = ret[i][j]; } void prt() { for (int i = (0); i < (n); i++) { for (int j = (0); j < (n); j++) printf("%d ", a[i][j]); puts(""); } } } ans, a; static inline M pow(M a, int p) { M ret = M(a.n); for (; p; p >>= 1) { if (p & 1) ret *= a; a *= a; } return ret; } int n, m, cat[20][20], q; int dx[5] = {0, 0, 0, 1, -1}; int dy[5] = {0, 1, -1, 0, 0}; static inline int in(int x, int y) { return 0 <= x && x < n && 0 <= y && y < m; } int main() { scanf("%d%d%d", &n, &m, &q); a.n = ans.n = n * m; for (int i = (0); i < (n); i++) for (int j = (0); j < (m); j++) { for (int k = (0); k < (5); k++) { int nx = i + dx[k], ny = j + dy[k]; if (in(nx, ny)) a.a[i * m + j][nx * m + ny] = 1; } } ans.a[0][0] = 1; int ct = 1; for (int i = (0); i < (q); i++) { int t, x, y, z, dt, cell; scanf("%d%d%d%d", &t, &x, &y, &z); x--; y--; cell = x * m + y; dt = z - ct; ct = z; ans *= pow(a, dt); if (t == 1) { printf("%d\n", ans.a[0][cell]); } else if (t == 2) { cat[x][y] = 1; for (int i = (0); i < (5); i++) { int nx = x + dx[i], ny = y + dy[i]; int tmp = nx * m + ny; if (in(nx, ny)) a.a[cell][tmp] = a.a[tmp][cell] = 0; } a.a[cell][cell] = 0; } else if (t == 3) { cat[x][y] = 0; for (int i = (0); i < (5); i++) { int nx = x + dx[i], ny = y + dy[i]; int tmp = nx * m + ny; if (in(nx, ny) && !cat[nx][ny]) a.a[cell][tmp] = a.a[tmp][cell] = 1; } a.a[cell][cell] = 1; } } return 0; }
#include <bits/stdc++.h> using namespace std; int n, m; inline bool valid(int i, int j) { if (i < 0 || i >= n || j < 0 || j >= m) return false; return true; } inline int f(int i, int j) { int x = i * (m) + j; return x; } void print(vector<vector<long long> > a) { cout << endl; for (int i = 0; i < a.size(); i++) { for (int j = 0; j < a[i].size(); j++) cout << a[i][j] << " "; cout << endl; } } inline vector<vector<long long> > iden(int n) { vector<vector<long long> > a; a.resize(n); for (int i = 0; i < n; i++) a[i].assign(n, 0); for (int i = 0; i < n; i++) a[i][i] = 1; return a; } inline vector<vector<long long> > iden2(int n) { vector<vector<long long> > a; a.resize(n); for (int i = 0; i < n; i++) a[i].assign(n, 0); for (int i = 0; i < n; i++) a[i][i] = 0; return a; } inline vector<vector<long long> > matrixmulti(vector<vector<long long> > m1, vector<vector<long long> > m2) { vector<vector<long long> > m3; int a = m1.size(), b = m1[0].size(), c = m2.size(), d = m2[0].size(); if (b != c) cout << "CANNOT MULTIPLY" << endl; m3.resize(a); for (int i = 0; i < a; i++) m3[i].assign(d, 0); for (int i = 0; i < a; i++) { for (int j = 0; j < d; j++) { m3[i][j] = 0; for (int k = 0; k < b; k++) m3[i][j] = (m3[i][j] + (m1[i][k] * 1ll * m2[k][j]) % (long long)(1e9 + 7)) % (long long)(1e9 + 7); } } return m3; } inline vector<vector<long long> > matrixpower(vector<vector<long long> > a, int n) { if (n == 0) return iden(a.size()); vector<vector<long long> > res = iden(a.size()); vector<vector<long long> > b = a; while (n) { if (n & 1) res = matrixmulti(res, b); b = matrixmulti(b, b); n >>= 1; } return res; } vector<vector<long long> > make(int k) { vector<vector<long long> > res; res.resize(k); for (int i = 0; i < k; i++) res[i].assign(k, 0); for (int i = 0; i < k; i++) { int a, b; if (m != 1) b = i % m; else b = 0; a = (i - b) / (m); res[i][i] = 1; if (valid(a + 1, b)) { res[i][f(a + 1, b)] = 1; } if (valid(a - 1, b)) { res[i][f(a - 1, b)] = 1; } if (valid(a, b + 1)) { res[i][f(a, b + 1)] = 1; } if (valid(a, b - 1)) { res[i][f(a, b - 1)] = 1; } } return res; } vector<vector<long long> > makebase(int k = 3) { vector<vector<long long> > res; res.resize(k); for (int i = 0; i < k; i++) { res[i].resize(1); res[i][0] = 0; } res[1][0] = 1; return res; } int main() { scanf("%d", &n); scanf("%d", &m); int k = m * n; int q; scanf("%d", &q); vector<vector<long long> > res = make(k); vector<vector<long long> > ans; ans.resize(1); ans[0].assign(k, 0); ans[0][0] = 1; int cur = 1; while (q--) { int tp; scanf("%d", &tp); int x, y, t; scanf("%d", &x); scanf("%d", &y); scanf("%d", &t); x--; y--; if (tp == 1) { vector<vector<long long> > B = matrixpower(res, t - cur); ans = matrixmulti(ans, B); int num = (int)ans[0][f(x, y)]; cur = t; printf("%d\n", num); } else if (tp == 2) { int num = f(x, y); int pw = t - cur; vector<vector<long long> > B = matrixpower(res, pw - 1); ans = matrixmulti(ans, B); for (int i = 0; i < k; i++) res[i][num] = 0; ans = matrixmulti(ans, res); cur = t; } else if (tp == 3) { int num = f(x, y); int pw = t - cur; vector<vector<long long> > B = matrixpower(res, pw); ans = matrixmulti(ans, B); res[num][num] = 1; int a = x, b = y; if (valid(a + 1, b)) res[f(a + 1, b)][num] = 1; if (valid(a - 1, b)) res[f(a - 1, b)][num] = 1; if (valid(a, b + 1)) res[f(a, b + 1)][num] = 1; if (valid(a, b - 1)) res[f(a, b - 1)][num] = 1; cur = t; } } return 0; }
#include <bits/stdc++.h> using namespace std; const int MOD = int(1e9) + 7; int n, m, q; int a[20], has[20][20], w[20][20], s[20][20], t[20][20], _a[20]; int p[5][2] = {{1, 0}, {-1, 0}, {0, 1}, {0, -1}, {0, 0}}; void go(int len) { memset(t, 0, sizeof(t)); for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) for (int k = 0; k < 5; k++) { int x = i + p[k][0]; int y = j + p[k][1]; if (x < 0 || x >= n || y < 0 || y >= m) continue; if (has[x][y]) continue; t[i * m + j][x * m + y]++; } memset(s, 0, sizeof(s)); for (int i = 0; i < n * m; i++) s[i][i] = 1; for (; len; len >>= 1) { if (len & 1) { memset(w, 0, sizeof(w)); for (int i = 0; i < n * m; i++) for (int j = 0; j < n * m; j++) for (int k = 0; k < n * m; k++) w[i][j] = ((long long)s[i][k] * t[k][j] + w[i][j]) % MOD; memcpy(s, w, sizeof(w)); } if (len > 1) { memset(w, 0, sizeof(w)); for (int i = 0; i < n * m; i++) for (int j = 0; j < n * m; j++) for (int k = 0; k < n * m; k++) w[i][j] = ((long long)t[i][k] * t[k][j] + w[i][j]) % MOD; memcpy(t, w, sizeof(w)); } } memset(_a, 0, sizeof(_a)); for (int i = 0; i < n * m; i++) for (int j = 0; j < n * m; j++) _a[i] = ((long long)a[j] * s[j][i] + _a[i]) % MOD; memcpy(a, _a, sizeof(_a)); } int main() { cin >> n >> m >> q; int cnt = 1; a[0] = 1; vector<int> res; for (int i = 0; i < q; i++) { int opt, x, y, t; cin >> opt >> x >> y >> t; x--; y--; if (opt == 1) { go(t - cnt); cnt = t; res.push_back(a[x * m + y]); } else if (opt == 2) { go(t - cnt - 1); cnt = t - 1; has[x][y] = 1; } else { go(t - cnt); cnt = t; has[x][y] = 0; } } for (auto x : res) cout << x << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int MOD = 1e9 + 7; vector<vector<int> > mult(vector<vector<int> > A, vector<vector<int> > B) { vector<vector<int> > ans(A.size(), vector<int>(B[0].size())); for (int i = 0; i < A.size(); i++) for (int j = 0; j < B[0].size(); j++) { for (int k = 0; k < A[0].size(); k++) ans[i][j] = (ans[i][j] + (long long)A[i][k] * B[k][j]) % MOD; } return ans; } vector<vector<int> > pow(vector<vector<int> > cur, int p) { vector<vector<int> > ans(cur.size(), vector<int>(cur.size())); for (int i = 0; i < cur.size(); i++) ans[i][i] = 1; while (p) { if (p % 2) ans = mult(ans, cur); cur = mult(cur, cur); p /= 2; } return ans; } int n, m, q; bool bad[20][20]; vector<vector<int> > cur; vector<vector<int> > adj; void makeAdj() { adj = vector<vector<int> >(n * m, vector<int>(n * m)); for (int i = 0; i < n * m; i++) if (!bad[i / m][i % m]) { adj[i][i] = 1; if (i / m > 0 && !bad[i / m - 1][i % m]) adj[i][i - m] = 1; if (i / m < n - 1 && !bad[i / m + 1][i % m]) adj[i][i + m] = 1; if (i % m > 0 && !bad[i / m][i % m - 1]) adj[i][i - 1] = 1; if (i % m < m - 1 && !bad[i / m][i % m + 1]) adj[i][i + 1] = 1; } } int main() { scanf("%d%d%d", &n, &m, &q); cur = vector<vector<int> >(1, vector<int>(n * m)); cur[0][0] = 1; int prevT = 1; for (int Q = 0; Q < q; Q++) { int type, x, y, t; scanf("%d%d%d%d", &type, &x, &y, &t); x -= 1; y -= 1; makeAdj(); cur = mult(cur, pow(adj, t - prevT)); if (type == 1) printf("%d\n", cur[0][x * m + y]); else bad[x][y] ^= 1; prevT = t; } return 0; }
#include <bits/stdc++.h> using namespace std; long long dx[5] = {0, 1, 0, -1, 0}; long long dy[5] = {0, 0, 1, 0, -1}; bool cant[30][30]; struct mat { long long s_x, s_y; long long a[30][30]; mat() { memset(a, 0, sizeof a); } } A; long long mo = 1000000007; long long n, m, k, opt, x, y, t, l; mat mul(mat x, mat y) { mat tmp; tmp.s_x = x.s_x; tmp.s_y = y.s_y; for (long long i = 1; i <= tmp.s_x; i++) for (long long k = 1; k <= y.s_x; k++) if (x.a[i][k]) for (long long j = 1; j <= tmp.s_y; j++) tmp.a[i][j] += x.a[i][k] * y.a[k][j], tmp.a[i][j] %= mo; return tmp; } mat ksm(mat x, long long y) { mat sum = x; y--; for (; y; y /= 2) { if (y & 1) sum = mul(sum, x); x = mul(x, x); } return sum; } inline long long change(long long x, long long y) { return (x - 1) * m + y; } int main() { scanf("%d%d%d", &n, &m, &k); A.s_x = A.s_y = n * m; l = 1; for (long long i = 1; i <= n * m; i++) A.a[i][i] = 1; for (long long ii = 1; ii <= k; ii++) { scanf("%d%d%d%d", &opt, &x, &y, &t); mat cube; cube.s_x = cube.s_y = n * m; for (long long i = 1; i <= n; i++) for (long long j = 1; j <= m; j++) { for (long long d = 1; d <= 4; d++) { long long tx = i + dx[d], ty = j + dy[d]; if (tx <= 0 || ty <= 0 || tx > n || ty > m) continue; if (cant[i][j] || cant[tx][ty]) cube.a[change(i, j)][change(tx, ty)] = 0; else cube.a[change(i, j)][change(tx, ty)] = 1; } if (cant[i][j]) cube.a[change(i, j)][change(i, j)] = 0; else cube.a[change(i, j)][change(i, j)] = 1; } A = mul(A, ksm(cube, t - l)); if (opt == 2) cant[x][y] = 1; if (opt == 3) cant[x][y] = 0; if (opt == 1) printf("%d\n", A.a[1][change(x, y)]); l = t; } }
#include <bits/stdc++.h> using namespace std; const int P = 1e9 + 7; const int dx[4] = {1, 0, -1, 0}; const int dy[4] = {0, 1, 0, -1}; int n, m, q, opt, x, y, t, last_t, d[30][30]; struct Mat { int n, m; long long a[30][30]; Mat(int n, int m) { this->n = n; this->m = m; memset(a, 0, sizeof(a)); } Mat(int n = 0) { this->n = this->m = n; memset(a, 0, sizeof(a)); for (int i = (0); i <= (n - 1); ++i) a[i][i] = 1; } void print() { for (int i = (0); i <= (n - 1); ++i) { for (int j = (0); j <= (m - 1); ++j) printf("%lld ", a[i][j]); puts(""); } } }; Mat operator*(Mat A, Mat B) { Mat C(A.n, B.m); for (int i = (0); i <= (A.n - 1); ++i) for (int j = (0); j <= (B.m - 1); ++j) for (int k = (0); k <= (A.m - 1); ++k) (C.a[i][j] += A.a[i][k] * B.a[k][j] % P) %= P; return C; } Mat operator^(Mat a, int b) { Mat ans(a.n); for (; b; b >>= 1, a = a * a) if (b & 1) ans = ans * a; return ans; } void build(Mat &T) { for (int i = (0); i <= (n - 1); ++i) for (int j = (0); j <= (m - 1); ++j) for (int k = (0); k <= (3); ++k) { int x = i + dx[k], y = j + dy[k]; if (x >= 0 && x < n && y >= 0 && y < m) T.a[(i * m + j)][(x * m + y)] = 1; } } int main() { scanf("%d%d%d", &n, &m, &q); Mat T(n * m); build(T); Mat v(n * m, 1); v.a[0][0] = 1; last_t = 1; for (int i = (1); i <= (q); ++i) { scanf("%d%d%d%d", &opt, &x, &y, &t); --x; --y; v = (T ^ (t - last_t)) * v; if (opt == 1) printf("%lld\n", v.a[(x * m + y)][0]); if (opt == 2) { d[x][y] = 1; v.a[(x * m + y)][0] = 0; for (int k = (0); k <= (3); ++k) { int px = x + dx[k], py = y + dy[k]; if (px >= 0 && px < n && py >= 0 && py < m) T.a[(px * m + py)][(x * m + y)] = 0, T.a[(x * m + y)][(px * m + py)] = 0; } T.a[(x * m + y)][(x * m + y)] = 0; } if (opt == 3) { d[x][y] = 0; for (int k = (0); k <= (3); ++k) { int px = x + dx[k], py = y + dy[k]; if (px >= 0 && px < n && py >= 0 && py < m && !d[px][py]) T.a[(px * m + py)][(x * m + y)] = 1, T.a[(x * m + y)][(px * m + py)] = 1; } T.a[(x * m + y)][(x * m + y)] = 1; } last_t = t; } return 0; }
#include <bits/stdc++.h> using namespace std; bool cat[20][20]; inline long long mod(long long x) { return x % 1000000007LL; } struct mat { vector<vector<long long> > m; int r; int c; mat(int r, int c) : r(r), c(c), m(r, vector<long long>(c, 0)) {} const vector<long long>& operator[](int i) const { return m[i]; } vector<long long>& operator[](int i) { return m[i]; } mat operator*(const mat& a) const { assert(c == a.r); mat ans(r, a.c); for (int i = 0; i < r; ++i) { for (int j = 0; j < a.c; ++j) { for (int k = 0; k < c; ++k) { ans[i][j] += mod(m[i][k] * a[k][j]); } ans[i][j] = mod(ans[i][j]); } } return ans; } mat operator^(int e) const { assert(r == c); mat ans(r, c); for (int i = 0; i < r; ++i) { ans[i][i] = 1; } mat pw = *this; for (; e; e /= 2) { if (e & 1) { ans = ans * pw; } pw = pw * pw; } return ans; } }; int rv[] = {-1, 1, 0, 0}; int cv[] = {0, 0, -1, 1}; inline int to_id(int i, int j, int m) { return i * m + j; } inline bool valid(int i, int j, int n, int m) { return 0 <= i && i < n && 0 <= j && j < m; } int main() { int n, m, q; scanf("%d%d%d", &n, &m, &q); int sz = n * m; mat ma(sz, sz); mat nw(sz, 1); nw[0][0] = 1; for (int i = 0; i < n; ++i) { for (int j = 0; j < m; ++j) { int q = to_id(i, j, m); ma[q][q] = 1; for (int d = 0; d < 4; ++d) { int ni = i + rv[d]; int nj = j + cv[d]; if (valid(ni, nj, n, m)) { ma[q][to_id(ni, nj, m)] = 1; } } } } int lt = 1; for (int i = 0; i < q; ++i) { int tp, x, y, t; scanf("%d%d%d%d", &tp, &x, &y, &t); --x, --y; nw = (ma ^ (t - lt)) * nw; if (tp == 1) { printf("%d\n", (int)nw[to_id(x, y, m)][0]); } else { cat[x][y] = tp == 2; int q = to_id(x, y, m); ma[q][q] = !cat[x][y]; for (int d = 0; d < 4; ++d) { int nx = x + rv[d]; int ny = y + cv[d]; if (valid(nx, ny, n, m) && !cat[nx][ny]) { int p = to_id(nx, ny, m); ma[q][p] = ma[p][q] = !cat[x][y]; } } } lt = t; } return 0; }
#include <bits/stdc++.h> const int mod = 1e9 + 7; struct _ { int A[20][20]; friend _ operator*(_ a, _ b) { _ r; for (int i = 0; i != 20; ++i) for (int j = 0; j != 20; ++j) { unsigned long long t = 0; for (int k = 0; k != 10; ++k) t += (unsigned long long)a.A[i][k] * b.A[k][j]; t %= mod; for (int k = 10; k != 20; ++k) t += (unsigned long long)a.A[i][k] * b.A[k][j]; r.A[i][j] = t % mod; } return r; } }; int mat[20][20]; int can[20]; int n, m; void pow(_ a, int b, _& r) { for (; b; b >>= 1, a = a * a) if (b & 1) r = a * r; } _ get() { _ r; memset(&r, 0, sizeof r); for (int i = 0; i != n; ++i) for (int j = 0; j != m; ++j) { const int u = mat[i][j]; if (!can[u]) continue; r.A[u][u] = 1; static const int dx[4] = {1, -1, 0, 0}; static const int dy[4] = {0, 0, 1, -1}; for (int k = 0; k != 4; ++k) { int x = i + dx[k], y = j + dy[k]; if (x < 0 || y < 0 || x >= n || y >= m) continue; if (!can[mat[x][y]]) continue; r.A[u][mat[x][y]] = 1; } } return r; } int main() { std::ios_base::sync_with_stdio(false), std::cin.tie(0); int Q; std::cin >> n >> m >> Q; for (int i = 0, t = 0; i < n; ++i) for (int j = 0; j < m; ++j) can[mat[i][j] = t++] = true; int lst = 1; _ v; memset(&v, 0, sizeof v); v.A[mat[0][0]][0] = 1; while (Q-- > 0) { int opt, x, y, tim; std::cin >> opt >> x >> y >> tim; --x, --y; pow(get(), tim - lst, v); lst = tim; if (opt == 1) { std::cout << v.A[mat[x][y]][0] << '\n'; } else if (opt == 2) { can[mat[x][y]] = false; } else { can[mat[x][y]] = true; } } return 0; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 20 + 10; const long long MOD = 1e9 + 7; const int d[4][2] = {{1, 0}, {0, 1}, {-1, 0}, {0, -1}}; inline long long in() { long long x = 0, flag = 1; char ch = getchar(); while (ch < '0' || ch > '9') { if (ch == '-') flag = -1; ch = getchar(); } while (ch >= '0' && ch <= '9') x = (x << 3) + (x << 1) + (ch ^ 48), ch = getchar(); return x * flag; } struct Matrix { int R, C; long long val[MAXN][MAXN]; Matrix() {} Matrix(int _R, int _C) { R = _R, C = _C, memset(val, 0, sizeof val); } Matrix(int _R, int _C, bool flag) { R = _R, C = _C; memset(val, 0, sizeof val); for (int i = 1; i <= R; ++i) val[i][i] = 1; } Matrix operator*(const Matrix& B) const { Matrix ret(R, B.C); for (int i = 1; i <= R; i++) for (int j = 1; j <= B.C; j++) for (int k = 1; k <= C; k++) (ret.val[i][j] += val[i][k] * B.val[k][j] % MOD) %= MOD; return ret; } void print() { for (int i = 1; i <= R; ++i, puts("")) for (int j = 1; j <= C; printf("%lld ", val[i][j]), ++j) ; } } O, G; Matrix fpow(Matrix A, long long b) { if (!b) return A; Matrix ret(A.R, A.C, true); while (b) { if (b & 1) ret = ret * A, b ^= 1; else A = A * A, b >>= 1; } return ret; } int n, m, q; int pam[MAXN][MAXN]; bool vld[MAXN]; void solve(int t) { Matrix ret = fpow(G, t); O = O * ret; } int main() { n = in(), m = in(); q = in(); for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++) pam[i][j] = (i - 1) * m + j; O = Matrix(1, n * m); O.val[1][1] = 1LL; G = Matrix(n * m, n * m); memset(vld, true, sizeof vld); for (int x = 1; x <= n; x++) for (int y = 1; y <= m; y++) for (int i = 0; i <= 3; i++) { int nx = x + d[i][0], ny = y + d[i][1]; if (nx >= 1 && nx <= n && ny >= 1 && ny <= m) G.val[pam[x][y]][pam[nx][ny]] = 1; G.val[pam[x][y]][pam[x][y]] = 1; } long long pret = 1; while (q--) { int opt = in(), x = in(), y = in(), t = in(); int id = pam[x][y]; if (opt == 1) { solve(t - pret); printf("%lld\n", O.val[1][id]); } else if (opt == 2) { solve(t - pret); vld[id] = false; for (int i = 0; i <= 3; i++) { int nx = x + d[i][0], ny = y + d[i][1]; if (nx >= 1 && nx <= n && ny >= 1 && ny <= m) G.val[id][pam[nx][ny]] = G.val[pam[nx][ny]][id] = 0; } G.val[id][id] = 0; O.val[1][id] = 0; } else if (opt == 3) { solve(t - pret); vld[id] = true; for (int i = 0; i <= 3; i++) { int nx = x + d[i][0], ny = y + d[i][1]; if (nx >= 1 && nx <= n && ny >= 1 && ny <= m && vld[pam[nx][ny]]) G.val[id][pam[nx][ny]] = G.val[pam[nx][ny]][id] = 1; } G.val[id][id] = 1; } pret = t; } return 0; }
#include <bits/stdc++.h> using namespace std; const long long mo = 1000000007; struct S { long long k[50][50]; } ans, base; long long N, n, m, q; long long mp[25][25]; S mul(S a, S b) { S c; memset(c.k, 0, sizeof(c.k)); for (long long i = 1; i <= N; i++) for (long long r = 1; r <= N; r++) for (long long p = 1; p <= N; p++) c.k[i][r] = (c.k[i][r] + a.k[i][p] * b.k[p][r]) % mo; return c; } void qpow(long long b) { while (b) { if (b & 1) ans = mul(base, ans); b >>= 1; base = mul(base, base); } } void build() { for (long long i = 1; i <= N; i++) for (long long r = 1; r <= N; r++) { long long a = ((i - 1) / m) + 1, b = (i - 1) % m + 1; long long A = ((r - 1) / m) + 1, B = (r - 1) % m + 1; long long dist = abs(A - a) + abs(B - b); if (mp[a][b] == 0 && mp[A][B] == 0 && dist <= 1) base.k[i][r] = 1; else base.k[i][r] = 0; } } signed main() { scanf("%lld%lld%lld", &n, &m, &q); N = n * m; ans.k[1][1] = 1; long long p = 1; while (q--) { build(); long long op, x, y, t; scanf("%lld%lld%lld%lld", &op, &x, &y, &t); qpow(t - p); p = t; if (op == 2) ans.k[(x - 1) * m + y][1] = 0, mp[x][y] = 1; if (op == 3) ans.k[(x - 1) * m + y][1] = 0, mp[x][y] = 0; if (op == 1) printf("%lld\n", ans.k[(x - 1) * m + y][1]); } }
#include <bits/stdc++.h> using namespace std; int n, m, q; int N; int steps[5][2] = {{0, 0}, {1, 0}, {0, 1}, {-1, 0}, {0, -1}}; int ns = 5; const int MOD = int(1e9) + 7; inline int add(int a, int b) { return (a + b >= MOD) ? (a + b - MOD) : (a + b); } inline int sub(int a, int b) { return (a - b < 0) ? (a - b + MOD) : (a - b); } inline void inc(int &a, int b) { a = add(a, b); } inline int negate(int a) { return MOD - a; } inline int mul(int a, int b) { return (a * 1ll * b) % MOD; } const int MAX = 401; typedef int mx[MAX][MAX]; typedef int row[MAX]; void mul(mx a, mx b, mx r) { memset(r, 0, sizeof(mx)); for (size_t i = 0; i < N; i++) for (size_t j = 0; j < N; j++) for (size_t k = 0; k < N; k++) r[i][j] = add(r[i][j], b[k][j] <= 0 || a[i][k] <= 0 ? 0 : mul(a[i][k], b[k][j])); } void mul(row a, mx b, row r) { memset(r, 0, sizeof(row)); for (size_t j = 0; j < N; j++) for (size_t k = 0; k < N; k++) r[j] = add(r[j], b[k][j] <= 0 ? 0 : mul(a[k], b[k][j])); } void ones(mx a) { memset(a, 0, sizeof(mx)); for (size_t i = 0; i < N; i++) a[i][i] = 1; } void binPow(mx a, int p, mx r) { ones(r); mx b; memcpy(b, a, sizeof(b)); mx t; while (p) { if (p & 1) { mul(r, b, t); memcpy(r, t, sizeof(mx)); } mul(b, b, t); memcpy(b, t, sizeof(mx)); p >>= 1; } } int toIdx(int i, int j) { return i * m + j; } pair<int, int> fromIdx(int idx) { return pair<int, int>(idx / m, idx % m); } void composeG(mx g) { memset(g, 0, sizeof(mx)); for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) { int cellIdx = toIdx(i, j); for (int s = 0; s < ns; s++) { int ni = i + steps[s][0]; int nj = j + steps[s][1]; if (ni < 0 || ni >= n || nj < 0 || nj >= m) continue; int otherCellIdx = toIdx(ni, nj); g[cellIdx][otherCellIdx] = g[otherCellIdx][cellIdx] = 1; } } } void enable(mx g, int i, int j) { int cellIdx = toIdx(i, j); for (int s = 0; s < ns; s++) { int ni = i + steps[s][0]; int nj = j + steps[s][1]; if (ni < 0 || ni >= n || nj < 0 || nj >= m) continue; int otherCellIdx = toIdx(ni, nj); g[cellIdx][otherCellIdx] += 1; g[otherCellIdx][cellIdx] += 1; } } void disable(mx g, int i, int j) { int cellIdx = toIdx(i, j); for (int s = 0; s < ns; s++) { int ni = i + steps[s][0]; int nj = j + steps[s][1]; if (ni < 0 || ni >= n || nj < 0 || nj >= m) continue; int otherCellIdx = toIdx(ni, nj); g[cellIdx][otherCellIdx] -= 1; g[otherCellIdx][cellIdx] -= 1; } } void clear() {} void solve() { N = n * m; row currentAns; memset(currentAns, 0, sizeof(row)); currentAns[0] = 1; mx g; composeG(g); int time = 1; while (q--) { int type, x, y, t; scanf("%d%d%d%d", &type, &x, &y, &t); x--, y--; mx tg, mulMx; memcpy(tg, g, sizeof(mx)); binPow(tg, t - time, mulMx); row tmp; mul(currentAns, mulMx, tmp); memcpy(currentAns, tmp, sizeof(row)); time = t; if (type == 2) disable(g, x, y); else if (type == 3) enable(g, x, y); else printf("%d\n", currentAns[toIdx(x, y)]); } } int main() { while (scanf("%d%d%d", &n, &m, &q) == 3) { clear(); solve(); } return 0; }
#include <bits/stdc++.h> using namespace std; int const mod = 1e9 + 7; int const maxn = 22; struct Mat { vector<vector<int> > _data; Mat() : _data(maxn, vector<int>(maxn, 0)) {} }; int n, m; Mat operator*(const Mat& a, const Mat& b) { Mat ans; int mn = n * m; for (int i = 0; i < mn; ++i) for (int j = 0; j < mn; ++j) for (int k = 0; k < mn; ++k) ans._data[i][k] = (ans._data[i][k] + a._data[i][j] * 1LL * b._data[j][k]) % mod; return ans; } Mat powMat(const Mat& a, int b) { Mat ans; for (int i = 0; i < n * m; ++i) ans._data[i][i] = 1; Mat tmp = a; while (b) { if (b & 1) ans = ans * tmp; tmp = tmp * tmp; b >>= 1; } return ans; } Mat stepMat; int ans[maxn]; int bad[maxn]; void bad_cat(int x, int y) { int index = x * m + y; for (int i = 0; i < n * m; ++i) stepMat._data[i][index] = stepMat._data[index][i] = 0; ans[index] = 0; bad[index] = 1; } void good_free(int x, int y) { int index = x * m + y; bad[index] = 0; for (int dx = -1; dx <= 1; ++dx) for (int dy = -1; dy <= 1; ++dy) { if (abs(dx) + abs(dy) > 1) continue; int nx = x + dx; int ny = y + dy; if (nx >= 0 && nx < n && ny >= 0 && ny < m) { int nindex = nx * m + ny; if (!bad[nindex]) stepMat._data[index][nindex] = stepMat._data[nindex][index] = 1; } } } int main() { ios_base::sync_with_stdio(false); int q; cin >> n >> m >> q; ans[0] = 1; int curTime = 1; for (int i = 0; i < n; ++i) for (int j = 0; j < m; ++j) good_free(i, j); for (int step = 0; step < q; ++step) { int type, x, y, t; cin >> type >> x >> y >> t; --x; --y; Mat tmp = powMat(stepMat, t - curTime); vector<int> nAns(n * m, 0); for (int i = 0; i < n * m; ++i) for (int j = 0; j < n * m; ++j) nAns[i] = (nAns[i] + ans[j] * 1LL * tmp._data[i][j]) % mod; for (int i = 0; i < n * m; ++i) ans[i] = nAns[i]; curTime = t; if (type == 1) cout << ans[x * m + y] << "\n"; if (type == 2) bad_cat(x, y); if (type == 3) good_free(x, y); } }
#include <bits/stdc++.h> using namespace std; const int dr[] = {0, 1, 0, -1, 0}; const int dc[] = {1, 0, -1, 0, 0}; int n, m; const int rows = 20; const int cols = 20; struct Matrix { int r, c; long long m[rows][cols]; Matrix(int row = 0, int col = 0) { r = row; c = col; memset(m, 0, sizeof(m)); } Matrix(vector<vector<long long> > v) { r = v.size(); c = 0; if (v.size()) c = v[0].size(); for (int i = 0; i < r; i++) { for (int j = 0; j < c; j++) { m[i][j] = v[i][j]; } } } void iden() { for (int i = 0; i < r; i++) m[i][i] = 1; } Matrix multiply(Matrix B) { if (c != B.r) printf("--- Can't multiply ---\n"); Matrix C = Matrix(r, B.c); for (int i = 0; i < C.r; i++) { for (int j = 0; j < C.c; j++) { long long val = 0; for (int k = 0; k < c; k++) { val += m[i][k] * B.m[k][j]; val %= 1000000007; } C.m[i][j] = val; } } return C; } Matrix exp(long long p) { if (p == 1) return *this; Matrix C = exp(p / 2); C = C.multiply(C); if (p & 1) C = C.multiply(*this); return C; } Matrix add(const Matrix& B) { if (r != B.r || c != B.c) printf("--- Can't add ---\n"); Matrix C = Matrix(r, c); for (int i = 0; i < r; i++) { for (int j = 0; j < c; j++) { C.m[i][j] = m[i][j] + B.m[i][j]; } } return C; } void print() { printf("------ %d x %d ------\n", r, c); for (int i = 0; i < r; i++) { for (int j = 0; j < c; j++) { if (j) printf(" "); printf("%lld", m[i][j]); } printf("\n"); } printf("\n"); printf("-------- end --------\n", r, c); } }; Matrix M; int ar[20][20]; void update() { M = Matrix(n * m, n * m); for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { if (ar[i][j]) continue; for (int k = 0; k < 5; k++) { int p = i + dr[k], q = j + dc[k]; if (p >= 0 and q >= 0 and p < n and q < m and !ar[p][q]) { M.m[i * m + j][p * m + q] = 1; } } } } } int main() { int q; scanf("%d %d %d", &n, &m, &q); Matrix one(n * m, n * m); one.iden(); int last = 1; while (q--) { int tp, r, c, t; scanf("%d %d %d %d", &tp, &r, &c, &t); r--, c--; if (tp == 1) { update(); Matrix x = M.exp(t - last); one = one.multiply(x); printf("%lld\n", one.m[0][r * m + c] % 1000000007); } else if (tp == 2) { update(); Matrix x = M.exp(t - last); one = one.multiply(x); ar[r][c] = 1; } else { update(); Matrix x = M.exp(t - last); one = one.multiply(x); ar[r][c] = 0; } last = t; } return 0; }
#include <bits/stdc++.h> const int N = 30; const long long MOD = 1e9 + 7; using namespace std; int n, R, C, Q, cnt = 0, lt = 1, vis[N][N]; long long f[30], g[N]; int ex[5] = {0, 0, 0, 1, -1}, ey[5] = {0, 1, -1, 0, 0}; struct nn { long long a[30][30]; void PRT() { for (int i = 1; i <= n; i++) { for (int j = 1; j <= n; j++) printf("%lld ", a[i][j]); printf("\n"); } printf("\n"); } }; nn T, las; nn INIT() { nn res; for (int i = 1; i <= n; i++) for (int j = 1; j <= n; j++) res.a[i][j] = 0; for (int i = 1; i <= R; i++) { for (int j = 1; j <= C; j++) { if (vis[i][j]) continue; int now = (i - 1) * C + j; for (int k = 0; k <= 4; k++) { int nx = i + ex[k], ny = j + ey[k]; if (nx < 1 || ny < 1 || nx > R || ny > C) continue; if (vis[nx][ny]) continue; int pos = (nx - 1) * C + ny; res.a[now][pos] = 1; } } } return res; } nn MUL(nn A, nn B) { nn res; for (int i = 1; i <= n; i++) for (int j = 1; j <= n; j++) res.a[i][j] = 0; for (int i = 1; i <= n; i++) { for (int j = 1; j <= n; j++) { for (int k = 1; k <= n; k++) { res.a[i][j] += A.a[i][k] * B.a[k][j] % MOD; res.a[i][j] %= MOD; } } } return res; } nn KSM(nn A, int y) { nn res; for (int i = 1; i <= n; i++) { for (int j = 1; j <= n; j++) res.a[i][j] = 0; res.a[i][i] = 1; } while (y) { if (y % 2 == 1) res = MUL(res, A); A = MUL(A, A); y /= 2; } return res; } void MMUL(nn A) { for (int i = 1; i <= n; i++) g[i] = 0; for (int i = 1; i <= n; i++) { if (i % C == 0 && vis[i / C][C]) continue; if (i % C != 0 && vis[i / C + 1][i % C]) continue; for (int j = 1; j <= n; j++) { g[i] += f[j] * A.a[j][i] % MOD; g[i] %= MOD; } } for (int i = 1; i <= n; i++) f[i] = g[i]; } void SOLVE() { int pd, x, y, t; scanf("%d%d%d%d", &pd, &x, &y, &t); int dt = t - lt; lt = t; MMUL(KSM(las, dt)); if (pd == 2) { vis[x][y]++; cnt++; f[(x - 1) * C + y] = 0; las = INIT(); } if (pd == 3) { vis[x][y]--; cnt--; if (cnt == 0) las = T; else las = INIT(); } if (pd == 1) printf("%lld\n", f[(x - 1) * C + y]); } int main() { scanf("%d%d%d", &R, &C, &Q); n = R * C; T = INIT(); f[1] = 1; lt = 1; las = T; while (Q--) SOLVE(); return 0; }
#include <bits/stdc++.h> using namespace std; const int MOD = (int)1e9 + 7; const int N = 25; int matSize; int n, m, q; int dx[4] = {-1, 1, 0, 0}; int dy[4] = {0, 0, -1, 1}; int cat[N][N]; bool legal(int x, int y) { return x >= 0 && x < n && y >= 0 && y < m; } int trans(int x, int y) { return x * m + y; } struct matrix { int d[N][N]; matrix(bool flag = 0) { memset(d, 0, sizeof(d)); if (flag) for (int i = 0; i < matSize; i++) d[i][i] = 1; } matrix operator*(const matrix &I) const { matrix ans; for (int i = 0; i < matSize; i++) { for (int j = 0; j < matSize; j++) { for (int k = 0; k < matSize; k++) { ans.d[i][j] += (long long)d[i][k] * I.d[k][j] % MOD; ans.d[i][j] %= MOD; } } } return ans; } }; matrix modExp(matrix a, int b) { matrix t = matrix(1); while (b) { if (b & 1) t = t * a; a = a * a; b >>= 1; } return t; } matrix rebuild() { matrix ans; for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { if (cat[i][j]) continue; int u = trans(i, j); ans.d[u][u] = 1; for (int k = 0; k < 4; k++) { int p = i + dx[k]; int q = j + dy[k]; if (legal(p, q) && !cat[p][q]) ans.d[u][trans(p, q)] = 1; } } } return ans; } int main() { scanf("%d%d%d", &n, &m, &q); matSize = n * m; int t, p, x, y, pre = 1; matrix now, go = rebuild(); now.d[0][0] = 1; while (q--) { scanf("%d%d%d%d", &p, &x, &y, &t); x--; y--; now = now * modExp(go, t - pre); if (p > 1) { cat[x][y] ^= 1; } if (p == 1) { int ret = 0; for (int i = 0; i < matSize; i++) { ret += now.d[i][trans(x, y)]; ret %= MOD; } printf("%d\n", ret); } pre = t; go = rebuild(); } return 0; }
#include <bits/stdc++.h> using namespace std; const int mo = 1e9 + 7, maxn = 25; const int dx[4] = {-1, 0, 1, 0}, dy[4] = {0, 1, 0, -1}; int n, m, q, last, bz[maxn][maxn]; struct mat { int a[maxn][maxn]; friend mat operator*(mat x, mat y) { mat z; memset(z.a, 0, sizeof(z.a)); for (int i = (1); i <= (n * m); ++i) for (int j = (1); j <= (n * m); ++j) for (int k = (1); k <= (n * m); ++k) z.a[i][j] = (z.a[i][j] + x.a[i][k] * 1ll * y.a[k][j]) % mo; return z; } } now; inline int boom(int x, int y) { return (x - 1) * m + y; } inline mat ksm(mat x, int y) { mat ret; memset(ret.a, 0, sizeof(ret.a)); for (int i = (1); i <= (n * m); ++i) ret.a[i][i] = 1; for (; y; y >>= 1, x = x * x) if (y & 1) ret = ret * x; return ret; } int main() { scanf("%d%d%d", &n, &m, &q); last = 1; for (int i = (1); i <= (n * m); ++i) now.a[i][i] = 1; while (q--) { int tp, x, y, t; scanf("%d%d%d%d", &tp, &x, &y, &t); mat tmp; memset(tmp.a, 0, sizeof(tmp.a)); for (int i = (1); i <= (n); ++i) for (int j = (1); j <= (m); ++j) { for (int k = (0); k <= (3); ++k) { int xx = i + dx[k], yy = j + dy[k]; if (xx <= 0 || yy <= 0 || xx > n || yy > m) continue; if (bz[i][j] || bz[xx][yy]) tmp.a[boom(i, j)][boom(xx, yy)] = 0; else tmp.a[boom(i, j)][boom(xx, yy)] = 1; } if (bz[i][j]) tmp.a[boom(i, j)][boom(i, j)] = 0; else tmp.a[boom(i, j)][boom(i, j)] = 1; } now = now * ksm(tmp, t - last); if (tp == 1) printf("%d\n", now.a[1][boom(x, y)]); if (tp == 2) bz[x][y] = 1; if (tp == 3) bz[x][y] = 0; last = t; } return 0; }
#include <bits/stdc++.h> using namespace std; template <class T> inline void Min(T &a, T b) { if (a > b) a = b; } template <class T> inline void Max(T &a, T b) { if (a < b) a = b; } typedef long long arr[20][20]; int sz; void mul(arr &a, arr &b) { arr c; memset(c, 0, sizeof(c)); for (int i = 0; i < sz; i++) for (int j = 0; j < sz; j++) { for (int k = 0; k < sz; k++) c[i][j] += a[i][k] * b[k][j] % 1000000007; c[i][j] %= 1000000007; } for (int i = 0; i < sz; i++) for (int j = 0; j < sz; j++) a[i][j] = c[i][j]; } void pow(arr &a, int n) { arr b; memset(b, 0, sizeof(b)); for (int i = 0; i < sz; i++) b[i][i] = 1; while (n) { if (n & 1) mul(b, a); mul(a, a); n >>= 1; } for (int i = 0; i < sz; i++) for (int j = 0; j < sz; j++) a[i][j] = b[i][j]; } arr a; int v[21], n, m, d[][2] = {-1, 0, 1, 0, 0, -1, 0, 1}; void cal(arr &a) { memset(a, 0, sizeof(a)); for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) if (v[i * m + j] == 0) { int first = i * m + j; a[first][first]++; for (int k = 0; k < 4; k++) { int ii = i + d[k][0], jj = j + d[k][1]; if (ii >= 0 && ii < n && jj >= 0 && jj < m && !v[ii * m + jj]) { int second = ii * m + jj; a[first][second]++; } } } } long long b[22], c[22]; void mul1(long long *b, arr &a) { memset(c, 0, sizeof(c)); for (int i = 0; i < sz; i++) if (b[i]) { for (int j = 0; j < sz; j++) c[j] += b[i] * a[i][j] % 1000000007; } for (int i = 0; i < sz; i++) { b[i] = c[i] % 1000000007; } } int main() { int T, i, j, k; int q; scanf("%d%d%d", &n, &m, &q); sz = n * m; memset(v, 0, sizeof(v)); memset(b, 0, sizeof(b)); b[0] = 1; int tt = 1, t, first, second, tp; while (q--) { scanf("%d%d%d%d", &tp, &first, &second, &t); first--, second--; cal(a); pow(a, t - tt - 1); mul1(b, a); if (tp == 2) v[first * m + second] = 1; memcpy(c, b, sizeof(c)); for (i = 0; i < n; i++) for (j = 0; j < m; j++) if (b[i * m + j]) { for (k = 0; k < 4; k++) { int ii = i + d[k][0], jj = j + d[k][1]; if (ii >= 0 && ii < n && jj >= 0 && jj < m && !v[ii * m + jj]) { int second = ii * m + jj; c[second] += b[i * m + j]; } } } if (tp == 3) v[first * m + second] = 0; else if (tp == 2) c[first * m + second] = 0; for (i = 0; i < sz; i++) b[i] = c[i] % 1000000007; if (tp == 1) { printf("%d\n", (int)b[first * m + second]); } tt = t; } return 0; }
#include <bits/stdc++.h> using namespace std; const int M = 1e9 + 7, Q = 1e4 + 5, NM = 21; int n, m, q; long long t, vec[NM], adj[NM][NM], vectmp[NM], tmp[2][NM][NM]; int dx[4] = {1, -1, 0, 0}; int dy[4] = {0, 0, 1, -1}; bool cat[NM]; long long T = 1; struct event { int tp, x, y; long long t; } e[Q]; inline bool inbounds(const int x, const int y) { return 0 <= x && x < n && 0 <= y && y < m; } inline int getidx(const int x, const int y) { return x * m + y; } inline pair<int, int> getpos(const int idx) { return {idx / m, idx % m}; } void upd(long long t) { if (t <= 0) return; long long p = t - T; for (int i = 0; i < n * m; i++) { for (int j = 0; j < n * m; j++) { tmp[0][i][j] = adj[i][j]; } } while (p > 0) { if (p & 1) { for (int i = 0; i < n * m; i++) { vectmp[i] = 0; for (int j = 0; j < n * m; j++) { vectmp[i] = (vectmp[i] + tmp[0][i][j] * vec[j]) % M; } } for (int i = 0; i < n * m; i++) { vec[i] = vectmp[i]; } } for (int i = 0; i < n * m; i++) { for (int j = 0; j < n * m; j++) { tmp[1][i][j] = 0; for (int k = 0; k < n * m; k++) { tmp[1][i][j] = (tmp[1][i][j] + tmp[0][i][k] * tmp[0][k][j]) % M; } } } for (int i = 0; i < n * m; i++) { for (int j = 0; j < n * m; j++) { tmp[0][i][j] = tmp[1][i][j]; } } p /= 2; } T = t; } int main() { ios::sync_with_stdio(false); cin.tie(0); cin >> n >> m >> q; for (int i = 0; i < q; i++) { cin >> e[i].tp >> e[i].x >> e[i].y >> e[i].t; e[i].x--; e[i].y--; } vec[0] = 1; int idx1, idx2; for (int i = 0; i < n * m; i++) { auto [x, y] = getpos(i); for (int d = 0; d < 4; d++) { if (inbounds(x + dx[d], y + dy[d])) { int j = getidx(x + dx[d], y + dy[d]); adj[i][j] = adj[j][i] = 1; } } adj[i][i] = 1; } for (int i = 0; i < q; i++) { switch (e[i].tp) { case 1: upd(e[i].t); cout << vec[getidx(e[i].x, e[i].y)] << endl; break; case 2: upd(e[i].t); idx1 = getidx(e[i].x, e[i].y); cat[idx1] = true; vec[idx1] = 0; for (int d = 0; d < 4; d++) { if (inbounds(e[i].x + dx[d], e[i].y + dy[d])) { idx2 = getidx(e[i].x + dx[d], e[i].y + dy[d]); adj[idx1][idx2] = adj[idx2][idx1] = 0; } } adj[idx1][idx1] = 0; break; case 3: upd(e[i].t); idx1 = getidx(e[i].x, e[i].y); cat[idx1] = false; for (int d = 0; d < 4; d++) { if (inbounds(e[i].x + dx[d], e[i].y + dy[d])) { idx2 = getidx(e[i].x + dx[d], e[i].y + dy[d]); if (!cat[idx2]) { adj[idx1][idx2] = adj[idx2][idx1] = 1; } } } adj[idx1][idx1] = 1; break; } } }
#include <bits/stdc++.h> using namespace std; void getint(int &v) { char ch, fu = 0; for (ch = '*'; (ch < '0' || ch > '9') && ch != '-'; ch = getchar()) ; if (ch == '-') fu = 1, ch = getchar(); for (v = 0; ch >= '0' && ch <= '9'; ch = getchar()) v = v * 10 + ch - '0'; if (fu) v = -v; } const int MO = 1e9 + 7; struct mat { int a[20][20]; mat() { memset(a, 0, sizeof(a)); } mat operator*(const mat &A) const { mat B; for (int i = 0; i <= 19; i++) for (int j = 0; j <= 19; j++) for (int k = 0; k <= 19; k++) (B.a[i][k] += (long long)a[i][j] * A.a[j][k] % MO) %= MO; return B; } }; mat pw(mat x, int y) { mat t; for (int i = 0; i <= 19; i++) t.a[i][i] = 1; for (; y; y >>= 1) { if (y & 1) t = t * x; x = x * x; } return t; } const int dx[] = {-1, 0, 0, 1, 0}; const int dy[] = {0, -1, 1, 0, 0}; int n, m, q, tp, x, y, t, l; mat A, B; inline int tra(int x, int y) { return (x - 1) * m + y - 1; } int main() { scanf("%d%d%d", &n, &m, &q); l = 1; A.a[0][0] = 1; for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++) for (int d = 0; d <= 4; d++) { int ti = i + dx[d], tj = j + dy[d]; if (ti < 1 || ti > n || tj < 1 || tj > m) continue; B.a[tra(i, j)][tra(ti, tj)] = 1; } while (q--) { getint(tp), getint(x), getint(y), getint(t); A = A * pw(B, t - l); if (tp == 1) printf("%d\n", A.a[0][tra(x, y)]); else if (tp == 2) { A.a[0][tra(x, y)] = 0; for (int d = 0; d <= 4; d++) { int tx = x + dx[d], ty = y + dy[d]; if (tx < 1 || tx > n || ty < 1 || ty > m) continue; B.a[tra(tx, ty)][tra(x, y)] = 0; } } else if (tp == 3) { for (int d = 0; d <= 4; d++) { int tx = x + dx[d], ty = y + dy[d]; if (tx < 1 || tx > n || ty < 1 || ty > m) continue; B.a[tra(tx, ty)][tra(x, y)] = 1; } } l = t; } return 0; }
#include <bits/stdc++.h> using namespace std; template <class T> T sqr(T x) { return x * x; } struct matrix { long long m[32][32]; } A, I; const int mod = 1e9 + 7; int dir[6][2] = {{0, 1}, {1, 0}, {-1, 0}, {0, -1}, {0, 0}}; int cat[31][31]; int n, m, w, x, type, y, t, lastt; int q; inline matrix mul(matrix a, matrix b) { matrix c; for (int i = 0; i < w; i++) for (int j = 0; j < w; j++) { c.m[i][j] = 0; for (int k = 0; k < w; k++) c.m[i][j] = (c.m[i][j] + a.m[i][k] * b.m[k][j]) % mod; } return c; } matrix pow(matrix a, int k) { matrix ret = I; for (; k; k >>= 1, a = mul(a, a)) if (k & 1) ret = mul(ret, a); return ret; } int main() { scanf("%d%d", &n, &m); w = n * m; scanf("%d", &q); int lastt = 1; matrix trans; for (int i = 0; i < w; i++) I.m[i][i] = 1; A = I; for (int i = 1; i <= q; i++) { scanf("%d%d%d%d", &type, &x, &y, &t); x--; y--; matrix b; for (int i = 0; i < w; i++) for (int j = 0; j < w; j++) b.m[i][j] = 0; for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) if (!cat[i][j]) { for (int k = 0; k < 5; k++) { int dx = i + dir[k][0]; int dy = j + dir[k][1]; if (dx >= 0 && dx < n && dy >= 0 && dy < m && !cat[dx][dy]) b.m[dx * m + dy][i * m + j] = 1; } } A = mul(A, pow(b, t - lastt)); if (type == 1) printf("%lld\n", A.m[0][x * m + y]); else if (type == 2) { cat[x][y] = 1; trans = I; for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) if (cat[i][j]) trans.m[i * m + j][i * m + j] = 0; A = mul(A, trans); } else cat[x][y] = 0; lastt = t; } }
#include <bits/stdc++.h> using namespace std; const long long MOD = 1e9 + 7; int sz; struct Matrix { long long x[22][22]; void print() { for (int i = 0, _a = (sz); i < _a; i++) { for (int j = 0, _a = (sz); j < _a; j++) cout << x[i][j] << ' '; cout << endl; } cout << endl; } } A, I; struct Vector { long long x[22]; void print() { { cout << "x" << " = "; for (int _ = 0, _a = (sz); _ < _a; _++) cout << x[_] << ' '; cout << endl; }; } } f; Vector update(const Vector& f, const Matrix& A) { Vector res; for (int i = 0, _a = (sz); i < _a; i++) { res.x[i] = 0; for (int j = 0, _a = (sz); j < _a; j++) res.x[i] = (res.x[i] + A.x[i][j] * f.x[j]) % MOD; } return res; } Matrix operator*(const Matrix& a, const Matrix& b) { Matrix res; for (int i = 0, _a = (sz); i < _a; i++) for (int j = 0, _a = (sz); j < _a; j++) { res.x[i][j] = 0; for (int k = 0, _a = (sz); k < _a; k++) res.x[i][j] = (res.x[i][j] + a.x[i][k] * b.x[k][j]) % MOD; } return res; } Matrix power(const Matrix& a, int k) { if (k == 0) return I; if (k == 1) return a; Matrix mid = power(a, k >> 1); mid = mid * mid; if (k & 1) return mid * a; return mid; } const int MN = 22; int m, n, q, id[MN][MN]; const int di[5] = {-1, 1, 0, 0, 0}; const int dj[5] = {0, 0, -1, 1, 0}; bool outside(int u, int v) { return u < 1 || v < 1 || u > m || v > n; } void init() { int cur = 0; for (int i = (1), _b = (m); i <= _b; i++) for (int j = (1), _b = (n); j <= _b; j++) id[i][j] = cur++; memset(I.x, 0, sizeof I.x); memset(A.x, 0, sizeof A.x); sz = m * n; for (int i = 0, _a = (sz); i < _a; i++) I.x[i][i] = 1; for (int i = (1), _b = (m); i <= _b; i++) for (int j = (1), _b = (n); j <= _b; j++) { for (int dir = 0, _a = (5); dir < _a; dir++) { int ii = i + di[dir], jj = j + dj[dir]; if (outside(ii, jj)) continue; A.x[id[i][j]][id[ii][jj]] = 1; } } } int main() { ios ::sync_with_stdio(false); while (cin >> m >> n >> q) { init(); memset(f.x, 0, sizeof f.x); f.x[0] = 1; int cur_time = 1; while (q--) { int typ; cin >> typ; int x, y, t; cin >> x >> y >> t; Matrix up = power(A, t - 1 - cur_time); f = update(f, up); if (typ == 2) { for (int dir = 0, _a = (5); dir < _a; dir++) { int xx = x + di[dir], yy = y + dj[dir]; if (outside(xx, yy)) continue; A.x[id[x][y]][id[xx][yy]] = 0; } } f = update(f, A); if (typ == 1) { cout << (int)f.x[id[x][y]] << '\n'; } cur_time = t; if (typ == 3) { for (int dir = 0, _a = (5); dir < _a; dir++) { int xx = x + di[dir], yy = y + dj[dir]; if (outside(xx, yy)) continue; A.x[id[x][y]][id[xx][yy]] = 1; } } } } }
#include <bits/stdc++.h> int n, m, i, j, k, flag[25][25], x[4] = {0, 1, 0, -1}, y[4] = {1, 0, -1, 0}, q; int tmp, a, b, c, d; struct matrix { int n; long long a[25][25]; matrix() { memset(a, 0, sizeof(a)); } } g, ans; matrix operator*(const matrix &A, const matrix &B) { matrix C; C.n = A.n; int i, j, k; for (i = 1; i <= A.n; i++) for (j = 1; j <= A.n; j++) for (k = 1; k <= A.n; k++) C.a[i][j] = (C.a[i][j] + A.a[i][k] * B.a[k][j]) % 1000000007; return C; } matrix ksm(matrix g, int x) { matrix ans; ans.n = n * m; if (x == 1) return g; ans = ksm(g, x / 2); ans = ans * ans; if (x & 1) ans = ans * g; return ans; } int o(int x, int y) { return (x - 1) * m + y; } void gz() { int i, j, k, X, Y; for (i = 1; i <= n * m; i++) for (j = 1; j <= n * m; j++) g.a[i][j] = 0; for (i = 1; i <= n; i++) for (j = 1; j <= m; j++) if (flag[i][j]) { g.a[o(i, j)][o(i, j)] = 1; for (k = 0; k < 4; k++) { X = i + x[k]; Y = j + y[k]; if (flag[X][Y]) g.a[o(i, j)][o(X, Y)] = 1; } } } int main() { scanf("%d%d%d", &n, &m, &q); tmp = 1; for (i = 1; i <= n * m; i++) ans.a[i][i] = 1; ans.n = n * m; g.n = n * m; for (i = 1; i <= n; i++) for (j = 1; j <= m; j++) flag[i][j] = 1; for (i = 1; i <= q; i++) { scanf("%d%d%d%d", &a, &b, &c, &d); if (a == 1) { gz(); ans = ans * ksm(g, d - tmp); tmp = d; printf("%I64d\n", ans.a[o(1, 1)][o(b, c)]); } else if (a == 2) { gz(); ans = ans * ksm(g, d - tmp); tmp = d; flag[b][c] = 0; } else { gz(); ans = ans * ksm(g, d - tmp); tmp = d; flag[b][c] = 1; } } }
#include <bits/stdc++.h> using namespace std; int n, m, q, x, y, ty, ti, w[21][21], tot; struct matrix { int x[21][21]; int *operator[](int a) { return x[a]; } } S, T, p; void inc(int &a, int b) { a += b; if (a >= 1000000007) a -= 1000000007; } matrix operator*(matrix &a, matrix &b) { memset(p.x, 0, sizeof(p.x)); for (int i = 0; i <= tot; i++) for (int j = 0; j <= tot; j++) for (int k = 0; k <= tot; k++) inc(p[i][j], (long long)a[i][k] * b[k][j] % 1000000007); return p; } void change(int t) { matrix U = T; for (; t; t >>= 1, U = U * U) if (t & 1) S = U * S; } int main() { scanf("%d%d%d", &n, &m, &q); for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++) w[i][j] = ++tot; for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++) { int X = w[i][j]; T[X][X] = 1; if (i > 1) T[w[i - 1][j]][X] = 1; if (i < n) T[w[i + 1][j]][X] = 1; if (j > 1) T[w[i][j - 1]][X] = 1; if (j < m) T[w[i][j + 1]][X] = 1; } S[1][1] = 1; for (int t = 1, lt = 1; t <= q; t++) { scanf("%d%d%d%d", &ty, &x, &y, &ti); change(ti - lt - 1); if (ty == 1) { change(1); printf("%d\n", S[w[x][y]][1]); lt = ti; } else { if (ty == 3) change(1); int X = w[x][y]; if (x > 1) T[X][w[x - 1][y]] ^= 1; if (x < n) T[X][w[x + 1][y]] ^= 1; if (y > 1) T[X][w[x][y - 1]] ^= 1; if (y < m) T[X][w[x][y + 1]] ^= 1; T[X][X] ^= 1; lt = ti - (ty == 2); } } return 0; }