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#include<iostream> #include<cstdio> #include<cfloat> #include<cassert> #include<cmath> #include<vector> #include<algorithm> #include<set> using namespace std; #define EPS (1e-12) #define equals(a, b) (fabs((a) - (b)) < EPS ) #define dle(a, b) (equals(a, b) || a < b ) static const double PI = acos(-1); class Point{ public: double x, y; Point ( double x = 0, double y = 0): x(x), y(y){} Point operator + ( Point p ){ return Point(x + p.x, y + p.y); } Point operator - ( Point p ){ return Point(x - p.x, y - p.y); } Point operator * ( double a ){ return Point(x*a, y*a); } Point operator / ( double a ){ return Point(x/a, y/a); } Point operator / ( Point p ) { return Point((x*p.x+y*p.y)/(p.x*p.x+p.y*p.y), (y*p.x-x*p.y)/(p.x*p.x+p.y*p.y)); } double abs() { return sqrt(norm());} double norm() { return x*x + y*y; } bool operator < ( const Point &p ) const { return x != p.x ? x < p.x : y < p.y; } bool operator == ( const Point &p ) const { return fabs(x-p.x) < EPS && fabs(y-p.y) < EPS; } }; typedef Point Vector; class Segment{ public: Point p1, p2; Segment(Point s = Point(), Point t = Point()): p1(s), p2(t){} }; typedef Segment Line; static const int CIRCLE_NON = 0; static const int CIRCLE_OUT = 1; static const int CIRCLE_IN = 2; static const int CIRCLE_CROSS = 3; class Circle{ public: Point c; double r; Circle(Point c = Point(), double r = 0.0): c(c), r(r){} }; typedef vector<Point> Polygon; double norm( Vector a ){ return a.x*a.x + a.y*a.y; } double abs( Vector a ){ return sqrt(norm(a)); } Point polar( double a, double r ){ return Point(cos(r)*a, sin(r)*a);} double getDistance( Vector a, Vector b ){ return abs(a - b); } double dot( Vector a, Vector b ){ return a.x*b.x + a.y*b.y; } double cross( Vector a, Vector b ){ return a.x*b.y - a.y*b.x; } double arg(Vector p){ return atan2(p.y, p.x); } Point project( Segment s, Point p ){ Vector base = s.p2 - s.p1; double t = dot(p - s.p1, base)/norm(base); return s.p1 + base*t; } Point reflect( Segment s, Point p ){ return p + (project(s, p) - p)*2.0; } bool isOnSegment( Point a, Point b, Point c){ if ( a == c || b == c ) return true; return (abs(a-c) + abs(c-b) < abs(a-b) + EPS ); } bool isParallel( Vector a, Vector b ){ return equals( cross(a, b), 0.0 ); } bool isParallel( Point a1, Point a2, Point b1, Point b2){ return isParallel( a1 - a2, b1 - b2 ); } bool isParallel( Segment s1, Segment s2 ){ return equals( cross(s1.p2 - s1.p1, s2.p2 - s2.p1), 0.0 ); } static const int COUNTER_CLOCKWISE = 1; static const int CLOCKWISE = -1; static const int ONLINE_BACK = 2; static const int ONLINE_FRONT = -2; static const int ON_SEGMENT = 0; // EPS can be 0 // need to check for 920, 833, 866 int ccw( Point p0, Point p1, Point p2 ){ Vector a = p1 - p0; Vector b = p2 - p0; if ( cross(a, b) > EPS ) return COUNTER_CLOCKWISE; if ( cross(a, b) < -EPS ) return CLOCKWISE; if ( dot(a, b) < -EPS ) return ONLINE_BACK; if ( norm(a) < norm(b) ) return ONLINE_FRONT; return ON_SEGMENT; } // intersect Segment p1-p2 and Segment p3-p4 ? bool isIntersect(Point p1, Point p2, Point p3, Point p4){ return ( ccw(p1, p2, p3) * ccw(p1, p2, p4) <= 0 && ccw(p3, p4, p1) * ccw(p3, p4, p2) <= 0 ); } // intersect Segment s1 and Segment s2 ? // verified by 920, 833, 866, uoa2062 bool isIntersect(Segment s1, Segment s2){ return isIntersect(s1.p1, s1.p2, s2.p1, s2.p2); } // verified by 920, 833, uoa2062 Point getCrossPoint(Segment s1, Segment s2){ assert( isIntersect(s1, s2) ); Vector base = s2.p2 - s2.p1; double d1 = abs(cross(base, s1.p1 - s2.p1)); double d2 = abs(cross(base, s1.p2 - s2.p1)); double t = d1/(d1 + d2); return s1.p1 + (s1.p2 - s1.p1)*t; } Point getCrossPointLines( Line s1, Line s2){ Vector a = s1.p2 - s1.p1; Vector base = s2.p2 - s2.p1; return s1.p1 + a * cross(base, s2.p1 - s1.p1)/cross(base, a); } double getDistanceLP(Line s, Point p){ return abs(cross(s.p2 - s.p1, p - s.p1)/abs(s.p2 - s.p1)); } // 10514 double getDistance(Segment s, Point p){ if ( dot(s.p2 - s.p1, p - s.p1) < 0.0 ) return abs(p - s.p1); if ( dot(s.p1 - s.p2, p - s.p2) < 0.0 ) return abs(p - s.p2); return abs(cross(s.p2 - s.p1, p - s.p1)/abs(s.p2 - s.p1)); } double getDistance(Segment s1, Segment s2){ if ( isIntersect(s1, s2) ) return 0.0; return min( min(getDistance(s1, s2.p1), getDistance(s1, s2.p2)), min(getDistance(s2, s1.p1), getDistance(s2, s1.p2))); } bool isIntersect( Circle c1, Line l ){ double d = getDistanceLP(l, c1.c); return ( equals(d, c1.r) || d < c1.r ); } pair<Point, Point> getTangentPoints(Point p, Circle c){ double d = abs(c.c - p); double t = arg(c.c - p); double b = sqrt(d*d - c.r * c.r); double a = asin(c.r / d); Point p1 = p + polar(b, t + a); Point p2 = p + polar(b, t - a); return make_pair(p1, p2); } int N, D; Circle C[10]; vector<Point> SX, GX; // contact points vector<Point> P; // target points int getNumOfXCircles(Segment s){ int cnt = 0; for ( int i = 0; i < N; i++ ){ double d = getDistance(s, C[i].c); if ( d < C[i].r && !equals(d, C[i].r)) cnt++; } return cnt; } bool inCircle(Point p){ for ( int i = 0; i < N; i++ ){ if ( abs(p - C[i].c) < C[i].r && !equals(abs(p-C[i].c), C[i].r) ) return true; } return false; } int main(){ cin >> N >> D; Point S = Point(25, 0); Point G = Point(25, 94); for ( int i = 0; i < N; i++ ){ cin >> C[i].c.x >> C[i].c.y >> C[i].r; } for ( int i = 0; i < N; i++ ){ pair<Point, Point> cp; cp = getTangentPoints(S, C[i]); SX.push_back(cp.first); SX.push_back(cp.second); cp = getTangentPoints(G, C[i]); GX.push_back(cp.first); GX.push_back(cp.second); } for ( int i = 0; i < SX.size(); i++ ){ Line l1 = Line(S, SX[i]); for ( int j = 0; j < GX.size(); j++ ){ Line l2 = Line(G, GX[j]); if ( !isParallel(l1, l2) ){ Point p = getCrossPointLines(l1, l2); if ( 0 < p.x && 0 < p.y && p.x < 50 && p.y < 94) P.push_back(p); } } } double ans = 10000; bool ok = false; for ( int i = 0; i < P.size(); i++ ){ //printf("%.8lf, %.8lf\n", P[i].x, P[i].y); int cnt = 0; cnt += getNumOfXCircles(Segment(S, P[i])); cnt += getNumOfXCircles(Segment(G, P[i])); if ( inCircle(P[i]) ) cnt--; if ( cnt <= D ){ ok = true; ans = min(ans, abs(P[i]-S) + abs(P[i]-G)); } } if ( getNumOfXCircles(Segment(S, G) ) <= D ){ ans = min(ans, abs(S - G)); ok = true; } if ( ok ){ printf("%.10lf\n", ans); } else { cout << -1 << endl; } return 0; }
#include <iostream> #include <cstdio> #include <vector> #include <algorithm> #include <complex> #include <cstring> #include <cstdlib> #include <string> #include <cmath> #include <cassert> #include <queue> #include <set> #include <map> #include <valarray> #include <bitset> #include <stack> #include <iomanip> #include <fstream> using namespace std; #define REP(i,n) for(int i=0;i<(int)(n);++i) #define FOR(i,c) for(__typeof((c).begin())i=(c).begin();i!=(c).end();++i) #define ALL(c) (c).begin(), (c).end() #define chmax(a,b) (a<b?(a=b,1):0) #define chmin(a,b) (a>b?(a=b,1):0) #define valid(y,x,h,w) (0<=y&&y<h&&0<=x&&x<w) const int INF = 1<<29; #define double long double const double EPS = 1e-7; const double PI = acos(-1); typedef long long ll; typedef pair<int,int> pii; typedef complex<double> P; P pIN() { double x,y; cin >> x >> y; return P(x,y); } namespace std { bool operator < (const P& a, const P& b) { // if (abs(a-b)<EPS) return 0; return real(a) != real(b) ? real(a) < real(b) : imag(a) < imag(b); } } double cross(const P& a, const P& b) { return imag(conj(a)*b); } double dot(const P& a, const P& b) { return real(conj(a)*b); } struct L : public vector<P> { L(const P &a, const P &b) { push_back(a); push_back(b); } L() { resize(2); } }; ostream &operator<<(ostream &os, const L &a) { os << a[0] << " -> " << a[1]; return os; } typedef vector<P> G; #define curr(P, i) P[i] #define next(P, i) P[(i+1)%P.size()] struct C { P p; double r; C() {} C(const P &p, double r) : p(p), r(r) { } }; int ccw(P a, P b, P c) { b -= a; c -= a; if (cross(b, c) > EPS) return +1; // counter clockwise if (cross(b, c) < -EPS) return -1; // clockwise if (dot(b, c) < -EPS) return +2; // c--a--b on line if (norm(b) < norm(c)) return -2; // a--b--c on line return 0; } bool intersectLL(const L &l, const L &m) { return abs(cross(l[1]-l[0], m[1]-m[0])) > EPS || // non-parallel abs(cross(l[1]-l[0], m[0]-l[0])) < EPS; // same line } bool intersectLS(const L &l, const L &s) { return cross(l[1]-l[0], s[0]-l[0])* // s[0] is left of l cross(l[1]-l[0], s[1]-l[0]) < EPS; // s[1] is right of l } bool intersectLP(const L &l, const P &p) { return abs(cross(l[1]-p, l[0]-p)) < EPS; } bool intersectSS(const L &s, const L &t) { return ccw(s[0],s[1],t[0])*ccw(s[0],s[1],t[1]) <= 0 && ccw(t[0],t[1],s[0])*ccw(t[0],t[1],s[1]) <= 0; } bool intersectSS2(const L &s, const L &t) { // 接しているやつは交差と考えない REP(i, 2) { if (ccw(s[0], s[1], t[i]) == 0) { int c = ccw(s[0],s[1],t[!i]); if (s[0] == t[i]) { if (c!=-2&&c) return 0; } else if (s[1] == t[i]) { if (c!=2&&c) return 0; } else if (abs(c)==1) return 0; } } return ccw(s[0],s[1],t[0])*ccw(s[0],s[1],t[1]) <= 0 && ccw(t[0],t[1],s[0])*ccw(t[0],t[1],s[1]) <= 0; } bool intersectSP(const L &s, const P &p) { return abs(s[0]-p)+abs(s[1]-p)-abs(s[1]-s[0]) < EPS; // triangle inequality } bool intersectLH(const L &l, const L &h) { if (intersectLS(l,h)) return 1; if (!intersectLL(l,h)) return 0; if (abs(cross(l[1]-l[0],h[1]-h[0])) < EPS) return 1; // same line return (ccw(l[0],l[1],h[0]) == 1) ^ (cross(l[1]-l[0], h[1]-h[0]) > 0); } bool intersectHS(const L &h, const L &s) { if (intersectSS(h,s)) return 1; if (!intersectLS(h,s)) return 0; if (abs(cross(s[1]-s[0],h[1]-h[0])) < EPS) // same line return ccw(h[0],h[1],s[0]) != 2 || ccw(h[0],h[1],s[1]) != 2; return (ccw(s[0],s[1],h[0]) == 1) ^ (cross(s[1]-s[0], h[1]-h[0]) > 0); } bool intersectHH(const L &h, const L &k) { return intersectLH(h,k) && intersectLH(k,h); } bool intersectHS2(const L &h, const L &s) { L t(s); swap(t[0],t[1]); return intersectHH(h,s) && intersectHH(h,t); } P projection(const L &l, const P &p) { double t = dot(p-l[0], l[0]-l[1]) / norm(l[0]-l[1]); return l[0] + t*(l[0]-l[1]); } P reflection(const L &l, const P &p) { return p + P(2,0) * (projection(l, p) - p); } vector<L> tangentCP(const C &c, const P &p) { vector<L> ret; P vect = c.p - p; double d = abs(vect); double l = sqrt(d*d-c.r*c.r); if (::isnan(l)) { return ret; } P v1 = vect * P(l / d, c.r / d); P v2 = vect * P(l / d, -c.r / d); ret.push_back(L(p, p+v1)); if (l > EPS) ret.push_back(L(p, p+v2)); return ret; } P crosspoint(const L &l, const L &m) { double A = cross(l[1] - l[0], m[1] - m[0]); double B = cross(l[1] - l[0], l[1] - m[0]); if (abs(A) < EPS && abs(B) < EPS) return m[0]; // same line if (abs(A) < EPS) assert(false); // !!!PRECONDITION NOT SATISFIED!!! return m[0] + B / A * (m[1] - m[0]); } double distanceSP(const L &s, const P &p) { const P r = projection(s, p); if (intersectSP(s, r)) return abs(r - p); return min(abs(s[0] - p), abs(s[1] - p)); } C circles[10]; int n,d; double ans; P start(25,0); P goal(25,94); void check(const P &p) { if (p.real() < -EPS || p.real() > 50+EPS || p.imag() < -EPS || p.imag() > 94+EPS) { return; } int cnt = 0; REP(i,n) { bool f1 = distanceSP(L(start, p), circles[i].p) <= circles[i].r - EPS; bool f2 = distanceSP(L(goal, p), circles[i].p) <= circles[i].r - EPS; if (f1 || f2) { cnt++; } if (f1 && f2 && abs(p-circles[i].p) > circles[i].r+EPS) { cnt++; } } if (cnt <= d) { chmin(ans, abs(start-p)+abs(goal-p)); } } int main() { while(cin >> n >> d) { REP(i,n) { int x,y,r; cin >> x >> y >> r; circles[i] = C(P(x,y),r); } ans = INF; check(start); vector<L> v; v.push_back(L(P(0,0),P(50,0))); v.push_back(L(P(50,0),P(50,94))); v.push_back(L(P(50,94),P(0,94))); v.push_back(L(P(0,94),P(0,0))); REP(i,n) { vector<L> v1 = tangentCP(circles[i], start); vector<L> v2 = tangentCP(circles[i], goal); FOR(it, v1) v.push_back(*it); FOR(it, v2) v.push_back(*it); } FOR(it, v) { FOR(jt, v) { if (intersectLL(*it, *jt)) { P p = crosspoint(*it, *jt); check(p); } } } if (ans == INF) cout << -1 << endl; else printf("%.10Lf\n", ans); } }
#include <iostream> #include <iomanip> #include <complex> #include <vector> #include <algorithm> #include <cmath> #include <array> using namespace std; const double EPS = 1e-8; const double INF = 1e12; const double PI = acos(-1); #define EQ(n,m) (abs((n)-(m)) < EPS) #define X real() #define Y imag() typedef complex<double> P; typedef vector<P> VP; struct L : array<P, 2>{ L(const P& a, const P& b){ at(0)=a; at(1)=b; } L(){} }; struct C{ P p; double r; C(const P& p, const double& r) : p(p), r(r) {} C(){} }; namespace std{ bool operator < (const P& a, const P& b){ return !EQ(a.X,b.X) ? a.X<b.X : a.Y+EPS<b.Y; } bool operator == (const P& a, const P& b){ return abs(a-b) < EPS; } } double dot(P a, P b){ return (conj(a)*b).X; } double cross(P a, P b){ return (conj(a)*b).Y; } int ccw(P a, P b, P c){ b -= a; c -= a; if(cross(b,c) > EPS) return +1; //ccw if(cross(b,c) < -EPS) return -1; //cw if(dot(b,c) < -EPS) return +2; //c-a-b if(abs(c)-abs(b) > EPS) return -2; //a-b-c return 0; //a-c-b } P unit(const P &p){ return p/abs(p); } P rotate(const P &p, double rad){ return p *P(cos(rad), sin(rad)); } bool intersectSS(const L& a, const L& b){ return ( ccw(a[0],a[1],b[0]) *ccw(a[0],a[1],b[1]) <= 0 ) && ( ccw(b[0],b[1],a[0]) *ccw(b[0],b[1],a[1]) <= 0 ); } P projection(const L& l, const P& p) { double t = dot(p-l[0], l[0]-l[1]) / norm(l[0]-l[1]); return l[0] + t*(l[0]-l[1]); } double distanceLP(const L &l, const P &p) { return abs(cross(l[1]-l[0], p-l[0])) /abs(l[1]-l[0]); } double distanceSP(const L &s, const P &p) { if(dot(s[1]-s[0], p-s[0]) < EPS) return abs(p-s[0]); if(dot(s[0]-s[1], p-s[1]) < EPS) return abs(p-s[1]); return distanceLP(s, p); } bool isParallel(const P &a, const P &b){ return abs(cross(a,b)) < EPS; } bool isParallel(const L &a, const L &b){ return isParallel(a[1]-a[0], b[1]-b[0]); } P crosspointLL(const L &l, const L &m) { double A = cross(l[1]-l[0], m[1]-m[0]); double B = cross(l[1]-l[0], l[1]-m[0]); return m[0] + B/A *(m[1]-m[0]); } VP crosspointCL(const C &c, const L &l){ VP ret; P mid = projection(l, c.p); double d = distanceLP(l, c.p); if(EQ(d, c.r)){ ret.push_back(mid); }else if(d < c.r){ double len = sqrt(c.r*c.r -d*d); ret.push_back(mid +len*unit(l[1]-l[0])); ret.push_back(mid -len*unit(l[1]-l[0])); } return ret; } vector<L> getTangentLine(const C &c, const P &p){ vector<L> ret; P dir = p -c.p; if(c.r < abs(dir) +EPS){ P a = c.p + c.r*unit(dir); VP cp = crosspointCL(C(c.p, abs(dir)), L(a, a+dir*P(0,1))); for(int i=0; i<(int)cp.size(); i++){ ret.push_back(L(p, c.p +c.r*unit(cp[i]-c.p))); } } return ret; } int main(){ int n,d; cin >> n >> d; vector<C> c(n); for(int i=0; i<n; i++){ double x,y,r; cin >> x >> y >> r; c[i] = C(P(x, y), r); } P s(25, 0), g(25, 94); vector<L> tangent; for(int i=0; i<n; i++){ vector<L> ret = getTangentLine(c[i], s); tangent.insert(tangent.end(), ret.begin(), ret.end()); ret = getTangentLine(c[i], g); tangent.insert(tangent.end(), ret.begin(), ret.end()); } VP cand; cand.push_back((s+g)/2.0); for(int i=0; i<(int)tangent.size(); i++){ for(int j=i+1; j<(int)tangent.size(); j++){ if(!isParallel(tangent[i], tangent[j])){ P cp = crosspointLL(tangent[i], tangent[j]); if(0 < cp.X +EPS && cp.X < 50 +EPS && 0 < cp.Y +EPS && cp.Y < 94 +EPS){ cand.push_back(cp); } } } } double ans = INF; for(int i=0; i<(int)cand.size(); i++){ L e[2] = {L(s, cand[i]), L(g, cand[i])}; int count = 0; for(int j=0; j<n; j++){ if(abs(cand[i] -c[j].p) +EPS < c[j].r){ count++; continue; } if(distanceSP(e[0], c[j].p) +EPS < c[j].r) count++; if(distanceSP(e[1], c[j].p) +EPS < c[j].r) count++; } if(count <= d){ ans = min(ans, abs(e[0][1] -e[0][0]) +abs(e[1][1] -e[1][0])); } } if(ans == INF){ cout << -1 << endl; }else{ cout << fixed << setprecision(10); cout << ans << endl; } return 0; }
#include<iostream> #include<cstdio> #include<cfloat> #include<cassert> #include<cmath> #include<vector> #include<algorithm> #include<set> using namespace std; #define EPS (1e-12) #define equals(a, b) (fabs((a) - (b)) < EPS ) #define dle(a, b) (equals(a, b) || a < b ) static const double PI = acos(-1); class Point{ public: double x, y; Point ( double x = 0, double y = 0): x(x), y(y){} Point operator + ( Point p ){ return Point(x + p.x, y + p.y); } Point operator - ( Point p ){ return Point(x - p.x, y - p.y); } Point operator * ( double a ){ return Point(x*a, y*a); } Point operator / ( double a ){ return Point(x/a, y/a); } Point operator / ( Point p ) { return Point((x*p.x+y*p.y)/(p.x*p.x+p.y*p.y), (y*p.x-x*p.y)/(p.x*p.x+p.y*p.y)); } double abs() { return sqrt(norm());} double norm() { return x*x + y*y; } bool operator < ( const Point &p ) const { return x != p.x ? x < p.x : y < p.y; } bool operator == ( const Point &p ) const { return fabs(x-p.x) < EPS && fabs(y-p.y) < EPS; } }; typedef Point Vector; class Segment{ public: Point p1, p2; Segment(Point s = Point(), Point t = Point()): p1(s), p2(t){} }; typedef Segment Line; static const int CIRCLE_NON = 0; static const int CIRCLE_OUT = 1; static const int CIRCLE_IN = 2; static const int CIRCLE_CROSS = 3; class Circle{ public: Point c; double r; Circle(Point c = Point(), double r = 0.0): c(c), r(r){} }; typedef vector<Point> Polygon; double norm( Vector a ){ return a.x*a.x + a.y*a.y; } double abs( Vector a ){ return sqrt(norm(a)); } Point polar( double a, double r ){ return Point(cos(r)*a, sin(r)*a);} double getDistance( Vector a, Vector b ){ return abs(a - b); } double dot( Vector a, Vector b ){ return a.x*b.x + a.y*b.y; } double cross( Vector a, Vector b ){ return a.x*b.y - a.y*b.x; } double arg(Vector p){ return atan2(p.y, p.x); } Point project( Segment s, Point p ){ Vector base = s.p2 - s.p1; double t = dot(p - s.p1, base)/norm(base); return s.p1 + base*t; } Point reflect( Segment s, Point p ){ return p + (project(s, p) - p)*2.0; } bool isOnSegment( Point a, Point b, Point c){ if ( a == c || b == c ) return true; return (abs(a-c) + abs(c-b) < abs(a-b) + EPS ); } bool isParallel( Vector a, Vector b ){ return equals( cross(a, b), 0.0 ); } bool isParallel( Point a1, Point a2, Point b1, Point b2){ return isParallel( a1 - a2, b1 - b2 ); } bool isParallel( Segment s1, Segment s2 ){ return equals( cross(s1.p2 - s1.p1, s2.p2 - s2.p1), 0.0 ); } static const int COUNTER_CLOCKWISE = 1; static const int CLOCKWISE = -1; static const int ONLINE_BACK = 2; static const int ONLINE_FRONT = -2; static const int ON_SEGMENT = 0; // EPS can be 0 // need to check for 920, 833, 866 int ccw( Point p0, Point p1, Point p2 ){ Vector a = p1 - p0; Vector b = p2 - p0; if ( cross(a, b) > EPS ) return COUNTER_CLOCKWISE; if ( cross(a, b) < -EPS ) return CLOCKWISE; if ( dot(a, b) < -EPS ) return ONLINE_BACK; if ( norm(a) < norm(b) ) return ONLINE_FRONT; return ON_SEGMENT; } // intersect Segment p1-p2 and Segment p3-p4 ? bool isIntersect(Point p1, Point p2, Point p3, Point p4){ return ( ccw(p1, p2, p3) * ccw(p1, p2, p4) <= 0 && ccw(p3, p4, p1) * ccw(p3, p4, p2) <= 0 ); } // intersect Segment s1 and Segment s2 ? // verified by 920, 833, 866, uoa2062 bool isIntersect(Segment s1, Segment s2){ return isIntersect(s1.p1, s1.p2, s2.p1, s2.p2); } // verified by 920, 833, uoa2062 Point getCrossPoint(Segment s1, Segment s2){ assert( isIntersect(s1, s2) ); Vector base = s2.p2 - s2.p1; double d1 = abs(cross(base, s1.p1 - s2.p1)); double d2 = abs(cross(base, s1.p2 - s2.p1)); double t = d1/(d1 + d2); return s1.p1 + (s1.p2 - s1.p1)*t; } Point getCrossPointLines( Line s1, Line s2){ Vector a = s1.p2 - s1.p1; Vector base = s2.p2 - s2.p1; return s1.p1 + a * cross(base, s2.p1 - s1.p1)/cross(base, a); } double getDistanceLP(Line s, Point p){ return abs(cross(s.p2 - s.p1, p - s.p1)/abs(s.p2 - s.p1)); } // 10514 double getDistance(Segment s, Point p){ if ( dot(s.p2 - s.p1, p - s.p1) < 0.0 ) return abs(p - s.p1); if ( dot(s.p1 - s.p2, p - s.p2) < 0.0 ) return abs(p - s.p2); return abs(cross(s.p2 - s.p1, p - s.p1)/abs(s.p2 - s.p1)); } double getDistance(Segment s1, Segment s2){ if ( isIntersect(s1, s2) ) return 0.0; return min( min(getDistance(s1, s2.p1), getDistance(s1, s2.p2)), min(getDistance(s2, s1.p1), getDistance(s2, s1.p2))); } bool isIntersect( Circle c1, Line l ){ double d = getDistanceLP(l, c1.c); return ( equals(d, c1.r) || d < c1.r ); } pair<Point, Point> getTangentPoints(Point p, Circle c){ double d = abs(c.c - p); double t = arg(c.c - p); double b = sqrt(d*d - c.r * c.r); double a = asin(c.r / d); Point p1 = p + polar(b, t + a); Point p2 = p + polar(b, t - a); return make_pair(p1, p2); } int N, D; Circle C[10]; vector<Point> SX, GX; // contact points vector<Point> P; // target points int getNumOfXCircles(Segment s){ int cnt = 0; for ( int i = 0; i < N; i++ ){ double d = getDistance(s, C[i].c); if ( d < C[i].r && !equals(d, C[i].r)) cnt++; } return cnt; } bool inCircle(Point p){ for ( int i = 0; i < N; i++ ){ if ( abs(p - C[i].c) < C[i].r && !equals(abs(p-C[i].c), C[i].r) ) return true; } return false; } int main(){ cin >> N >> D; Point S = Point(25, 0); Point G = Point(25, 94); for ( int i = 0; i < N; i++ ){ cin >> C[i].c.x >> C[i].c.y >> C[i].r; } for ( int i = 0; i < N; i++ ){ pair<Point, Point> cp; cp = getTangentPoints(S, C[i]); SX.push_back(cp.first); SX.push_back(cp.second); cp = getTangentPoints(G, C[i]); GX.push_back(cp.first); GX.push_back(cp.second); } for ( int i = 0; i < SX.size(); i++ ){ Line l1 = Line(S, SX[i]); for ( int j = 0; j < GX.size(); j++ ){ Line l2 = Line(G, GX[j]); if ( !isParallel(l1, l2) ){ Point p = getCrossPointLines(l1, l2); if ( 0 < p.x && 0 < p.y && p.x < 50 && p.y < 94) P.push_back(p); } } } double ans = 10000; bool ok = false; for ( int i = 0; i < P.size(); i++ ){ //printf("%.8lf, %.8lf\n", P[i].x, P[i].y); int cnt = 0; cnt += getNumOfXCircles(Segment(S, P[i])); cnt += getNumOfXCircles(Segment(G, P[i])); if ( inCircle(P[i]) ) cnt--; if ( cnt <= D ){ ok = true; ans = min(ans, abs(P[i]-S) + abs(P[i]-G)); } } if ( getNumOfXCircles(Segment(S, G) ) <= D ){ ans = min(ans, abs(S - G)); ok = true; } if ( ok ){ printf("%.8lf\n", ans); } else { cout << -1 << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; struct SegmentTree { vector< pair< int, int > > seg; int sz; SegmentTree(int n) { sz = 1; while(sz < n) sz <<= 1; seg.assign(2 * sz - 1, make_pair(0, 0)); } void push(int k) { if(k >= sz - 1 || seg[k] == make_pair(0, 0)) return; if(seg[2 * k + 1] == make_pair(0, 0)) { seg[2 * k + 1] = seg[k]; } else if(seg[k].first == seg[2 * k + 1].second) { seg[2 * k + 1].second = seg[k].second; } else { seg[2 * k + 1] = {-1, -1}; } if(seg[2 * k + 2] == make_pair(0, 0)) { seg[2 * k + 2] = seg[k]; } else if(seg[k].first == seg[2 * k + 2].second) { seg[2 * k + 2].second = seg[k].second; } else { seg[2 * k + 2] = {-1, -1}; } seg[k] = {0, 0}; } void update(int a, int b, int x, int k, int l, int r) { push(k); if(a >= r || b <= l) { } else if(a <= l && r <= b) { if(seg[k] == make_pair(-1, -1)) return; if(k >= sz - 1) { if(seg[k].second == x) seg[k].second++; else seg[k] = {-1, -1}; } else { seg[k] = {x, x + 1}; } push(k); } else { update(a, b, x, 2 * k + 1, l, (l + r) >> 1); update(a, b, x, 2 * k + 2, (l + r) >> 1, r); } } void update(int a, int b, int x) { update(a, b, x, 0, 0, sz); } int query(int a, int b, int x, int k, int l, int r) { push(k); if(a >= r || b <= l) return (0); if(a <= l && r <= b) { return (seg[k] == make_pair(0, x)); } return (query(a, b, x, 2 * k + 1, l, (l + r) >> 1) + query(a, b, x, 2 * k + 2, (l + r) >> 1, r)); } int query(int a, int b, int x) { return (query(a, b, x, 0, 0, sz)); } }; int main() { int N, K, T; scanf("%d %d", &N, &K); scanf("%d", &T); SegmentTree tree(N); while(T--) { int l, r, x; scanf("%d %d %d", &l, &r, &x); tree.update(--l, r, --x); } int ret = 0; for(int i = 0; i < N; i++) ret += tree.query(i, i + 1, K); printf("%d\n", ret); }
#include <bits/stdc++.h> using namespace std; const int INF = 1e+9; using P = pair<int,int>; int n,k,t,ans; set<int> st[200010]; vector<P> on[200010],off[200010]; int calc(int x){ return (st[x].size() == 2 && *(st[x - 1].begin()) < *(st[x].begin())) + (st[x + 1].size() == 2 && *(st[x].begin()) < *(st[x + 1].begin())); } signed main(){ cin >> n >> k >> t; for(int i = 0;i < t;i++){ int l,r,x; cin >> l >> r >> x; l--;r--; on[l].emplace_back(i,x); off[r].emplace_back(i,x); } st[0].insert(-1); for(int i = 0;i <= k + 1;i++) st[i].insert(INF); int cnt = 0; for(int i = 0;i < n;i++){ for(P p : on[i]){ cnt -= calc(p.second); st[p.second].insert(p.first); cnt += calc(p.second); } if(cnt == k) ans++; for(P p : off[i]){ cnt -= calc(p.second); st[p.second].erase(p.first); cnt += calc(p.second); } } cout << ans << endl; }
#include <cstdio> #include <iostream> #include <algorithm> #include <set> #include <vector> #include <queue> #include <cmath> using namespace std; #define SIZE 300000 #define INF 1000000000 int blockState[SIZE]; int blockL[SIZE], blockR[SIZE]; int item[SIZE]; int rN; void applyBlock(int id, int x) { if (blockState[id] == 0) { blockL[id] = blockR[id] = x; blockState[id] = 1; } else if (blockState[id] == 1) { if (blockR[id] + 1 == x) blockR[id] = x; else blockState[id] = 2; } } void applyNode(int pos, int x) { int id = pos / rN; int l = id * rN; int r = (id + 1) * rN; if (blockState[id] == 1) { for (int i=l; i<r; i++) { if (item[i] + 1 == blockL[id]) item[i] = blockR[id]; else item[i] = INF; } blockState[id] = 0; } if (blockState[id] == 2) { for (int i=l; i<r; i++) item[i] = INF; blockState[id] = 0; } if (x == -1) return; if (item[pos] + 1 == x) { item[pos] = x; } else { item[pos] = INF; } } int main() { int N, K, T; scanf("%d%d%d", &N, &K, &T); rN = sqrt(N); int blockSize = (N + rN-1) / rN; for (int i=0; i<blockSize; i++) { blockL[i] = -1; blockR[i] = -1; } for (int i=0; i<T; i++) { int l, r, x; scanf("%d%d%d", &l, &r, &x); l--; //[l, r) for (int i=l; i<(l/rN+1)*rN; i++) if (i < r) applyNode(i, x); for (int i=r/rN*rN; i<r; i++) if (i >= (l/rN+1)*rN) applyNode(i, x); for (int i=l/rN+1; i<r/rN; i++) applyBlock(i, x); } for (int i=0; i<blockSize; i++) applyNode(i*rN, -1); int ans = 0; for (int i=0; i<N; i++) ans += item[i] == K; printf("%d\n", ans); return 0; }
#include <bits/stdc++.h> using namespace std; int N,K,T; const int B = 100; int from[200010/B+1], to[200010/B+1]; int val[200010/B*B+B]; void show(){ return; for(int i = 0; i < N; ++i){ cout << val[i] << ' '; } cout << endl; for(int i = 0; i < N/B; ++i){ cout << from[i] << ' '; } cout << endl; for(int i = 0; i < N/B; ++i){ cout << to[i] << ' '; } cout << endl; } void sync(int b){ if(from[b] == -1) return; for(int i = b*B; i < (b+1)*B; ++i){ if(val[i] == from[b]){ val[i] = to[b]; } else { val[i] = -2; } } from[b] = -1; to[b] = -1; } void naive(int l, int r, int x){ for(int i = l; i < r; ++i){ val[i] = (val[i] == x-1) ? x : -2; } } void exec(int l, int r, int x){ if(l/B == r/B){ sync(l/B); naive(l,r,x); } else { if(l%B){ sync(l/B); naive(l, l-l%B+B, x); l = l-l%B+B; } if(r%B){ sync(r/B); naive(r-r%B, r, x); r = r-r%B; } while(l+B <= r){ // cout << "u" << l << endl; if(to[l/B] != -1){ to[l/B] = (to[l/B] == x-1) ? x : -2; } else { from[l/B] = x-1; to[l/B] = x; } l += B; } } show(); } int main(){ cin.tie(0); ios::sync_with_stdio(0); cin >> N >> K; cin >> T; memset(from, -1, sizeof from); memset(to, -1, sizeof to); while(N%B) ++N; for(int it = 0; it < T; ++it){ int l,r,x; cin >> l >> r >> x; --l; exec(l,r,x); } for(int i = 0; i < N/B; ++i){ sync(i); } show(); cout << count(val, val+N, K) << endl; }
#include <bits/stdc++.h> using namespace std; const int MAX_N = 1<<18; struct po{int l,r;}; int n; po dat[2*MAX_N-1]; void init(int n_){ n=1; while(n<n_)n*=2; for(int i=0;i<2*n-1;i++)dat[i]=(po){0,0}; } void compute(int k,po t){ if(t.r==0)return; if(dat[k].r==0) dat[k]=t; else if(dat[k].r==t.l-1)dat[k].r=t.r; else dat[k]=(po){-1,-1}; } void query(int a,int b,int x,int k=0,int l=0,int r=n){ if(r<=a||b<=l)return ; if(a<=l&&r<=b){ compute(k,(po){x,x}); return ; } int left=k*2+1,right=k*2+2; compute(left,dat[k]); compute(right,dat[k]); dat[k]=(po){0,0}; query(a,b,x,left,l,(l+r)/2); query(a,b,x,right,(l+r)/2,r); } int main(){ int N,k; cin>>n>>k; N=n; init(n); int q; cin>>q; while(q--){ int l,r,x; cin>>l>>r>>x; query(l-1,r,x); } int ans=0; for(int i=0;i<N;i++){ query(i,i+1,k+1); ans+=(dat[i+n-1].l==1&&dat[i+n-1].r==k+1); } cout <<ans<<endl; return 0; }
#include<bits/stdc++.h> using namespace std; typedef pair<int,int> P; #define INF (1e8) int N,K,T; P dat[(1<<19)]; void compute(int k,P p){ if(p==P(0,0))return; if(dat[k]==P(0,0)){ dat[k]=p; }else if(dat[k].second+1==p.first){ dat[k].second=p.second; }else{ dat[k]=P(INF,INF); } } void add(int a,int b,int x,int k=0,int l=0,int r=(1<<18)){ if(b<=l || r<=a)return; if(a<=l && r<=b){ compute(k,P(x,x)); return; } compute(k*2+1,dat[k]); compute(k*2+2,dat[k]); dat[k]=P(0,0); int m=(l+r)/2; add(a,b,x,k*2+1,l,m); add(a,b,x,k*2+2,m,r); } int main(){ scanf("%d %d %d",&N,&K,&T); for(int i=0;i<T;i++){ int l,r,x; scanf("%d %d %d",&l,&r,&x); add(l-1,r,x); } for(int i=0;i<N;i++){ add(i,i+1,0); } int ans=0; for(int i=0;i<N;i++){ int p=i+(1<<18)-1; if(dat[p]==P(1,K))ans++; } printf("%d\n",ans); return 0; }
#include <bits/stdc++.h> using namespace std; using ll = long long; #define rep(i,n) for(int (i)=0;(i)<(int)(n);++(i)) #define all(x) (x).begin(),(x).end() #define pb push_back #define fi first #define se second #define dbg(x) cout<<#x" = "<<((x))<<endl template<class T,class U> ostream& operator<<(ostream& o, const pair<T,U> &p){o<<"("<<p.fi<<","<<p.se<<")";return o;} template<class T> ostream& operator<<(ostream& o, const vector<T> &v){o<<"[";for(T t:v){o<<t<<",";}o<<"]";return o;} const int B = 450; // 現在の状態 int s[B][B] = {}; int F[B]; int T[B]; bool bad[B]={}; void push(int bid){ if(bad[bid]){ rep(i,B) s[bid][i] = -1; return; } if(F[bid] == -1) return; rep(i,B){ if(s[bid][i] == F[bid]) s[bid][i] = T[bid]; else s[bid][i] = -1; } F[bid] = -1; T[bid] = -1; } void D(int l, int r, int x){ int lid = l/B, rid = r/B; if(lid == rid){ push(lid); for(int i=l; i<=r; ++i){ if(s[i/B][i%B] == x-1) s[i/B][i%B] = x; else s[i/B][i%B] = -1; } } else{ push(lid); push(rid); for(int i=l; i<B*(lid+1); ++i){ if(s[i/B][i%B] == x-1) s[i/B][i%B] = x; else s[i/B][i%B] = -1; } for(int bid=lid+1; bid<rid; ++bid){ if(F[bid] == -1){ F[bid] = x-1; T[bid] = x; } else{ if(T[bid] == x-1) T[bid] = x; else bad[bid] = true; } } for(int i=B*rid; i<=r; ++i){ if(s[i/B][i%B] == x-1) s[i/B][i%B] = x; else s[i/B][i%B] = -1; } } } int main(){ int n,k,t; scanf(" %d %d %d", &n, &k, &t); fill(F,F+B,-1); fill(T,T+B,-1); rep(i,t){ int l,r,x; scanf(" %d %d %d", &l, &r, &x); --l; --r; D(l,r,x); } rep(i,B) push(i); int ans = 0; rep(i,n) ans += (s[i/B][i%B] == k); printf("%d\n", ans); return 0; }
#include <bits/stdc++.h> using namespace std; constexpr int invalid = -2; class square_root_decomposition { public: square_root_decomposition(int N) : B(sqrt(N)) { N = (N + B - 1) / B * B; before.assign(N / B, -1); after.assign(N / B, -1); donut.assign(N, 0); } void eval(int b) { if(before[b] == -1) { return; } for(int i = B * b; i < B * (b + 1); ++i) { if(donut[i] == before[b]) { donut[i] = after[b]; } else { donut[i] = invalid; } } before[b] = after[b] = -1; } void update_block(int b, int x) { if(after[b] != -1) { if(after[b] == x - 1) { after[b] = x; } else { after[b] = invalid; } } else { before[b] = x - 1; after[b] = x; } } void update_naive(int l, int r, int x) { for(int i = l; i <= r; ++i) { if(donut[i] == x - 1) { donut[i] = x; } else { donut[i] = invalid; } } } void update(int l, int r, int x) { if(l / B == r / B) { eval(l / B); update_naive(l, r, x); } else { int bl = l / B; int br = r / B; if(l % B != 0) { eval(l / B); update_naive(l, (l + B - 1) / B * B - 1, x); bl++; } if(r % B != B - 1) { eval(r / B); update_naive(r - r % B, r, x); br--; } for(int i = bl; i <= br; ++i) { update_block(i, x); } } } int query(int k) { for(int i = 0; i < (int)before.size(); ++i) { eval(i); } return count(begin(donut), end(donut), k); } void dbg() { for(int i = 0; i < (int)donut.size(); ++i) { cout << "dbg donut: " << i << ' ' << donut[i] << endl; } for(int b = 0; b < (int)before.size(); ++b) { cout << "dbg block: " << b << ' ' << before[b] << ' ' << after[b] << endl; } } private: const int B; vector<int> before, after; vector<int> donut; }; int main() { int N, K, T; cin >> N >> K; cin >> T; square_root_decomposition sq(N); for(int i = 0; i < T; ++i) { int l, r, x; cin >> l >> r >> x; sq.update(l-1, r-1, x); } cout << sq.query(K) << endl; }
#include <bits/stdc++.h> using namespace std; using ll = long long; using P = pair<int, int>; const function<P(P, P)> minQ = [](P l, P r) { return min(l, r); }; template <typename T> class LazySegmentTree { using func_t = function<T(T, T)>; const int n; const T id1, id2; func_t merge; func_t change; vector<T> data, lazy; int size(int n) { int res = 1; while (res < n) res <<= 1; return res; } void propa(int node) { if (lazy[node] == id2) return; if (node < n) { lazy[node * 2] = change(lazy[node * 2], lazy[node]); lazy[node * 2 + 1] = change(lazy[node * 2 + 1], lazy[node]); } data[node] = change(data[node], lazy[node]); lazy[node] = id2; } void suc(int l, int r, int node, int lb, int ub, T val) { if (ub <= l || r <= lb) return; propa(node); if (l <= lb && ub <= r) { lazy[node] = val; return; } int c = (lb + ub) / 2; suc(l, r, node * 2, lb, c, val); suc(l, r, node * 2 + 1, c, ub, val); data[node] = merge(change(data[node * 2], lazy[node * 2]), change(data[node * 2 + 1], lazy[node * 2 + 1])); } T sub(int l, int r, int node, int lb, int ub) { if (ub <= l || r <= lb) return id1; propa(node); if (l <= lb && ub <= r) { return data[node]; } int c = (lb + ub) / 2; return merge(sub(l, r, node * 2, lb, c), sub(l, r, node * 2 + 1, c, ub)); } public: LazySegmentTree(int n_, T id1_, T id2_, func_t merge_, func_t change_) : n(size(n_)), id1(id1_), id2(id2_), merge(merge_), change(change_), data(n * 2, id1), lazy(n * 2, id2) {} void update(int l, int r, T val) { suc(l, r + 1, 1, 0, n, val); } T find(int l) { sub(l, l + 1, 1, 0, n); return data[l + n]; } }; template <typename T> class SegmentTree { const int n; const T id; vector<T> data, data2; int size(int n) { int res = 1; while (res < n) res <<= 1; return res; } T sub(int l, int r, int node, int lb, int ub) { if (ub <= l || r <= lb) return id; if (l <= lb && ub <= r) { return data[node] + data2[node] * (ub - lb); } return data2[node] * (min(r, ub) - max(l, lb)) + sub(l, r, node * 2, lb, (lb + ub) / 2) + sub(l, r, node * 2 + 1, (lb + ub) / 2, ub); } void suc(int l, int r, int node, int lb, int ub, T val) { if (ub <= l || r <= lb) return; if (l <= lb && ub <= r) { data2[node] += val; return; } data[node] += val * (min(r, ub) - max(l, lb)); suc(l, r, node * 2, lb, (lb + ub) / 2, val); suc(l, r, node * 2 + 1, (lb + ub) / 2, ub, val); } public: SegmentTree(int n_) : n(size(n_)), id(0), data(n * 2, id), data2(n * 2, id) {} void add(int l, int r, T val) { suc(l, r + 1, 1, 0, n, val); } T getSum(int l, int r) { return sub(l, r + 1, 1, 0, n); } }; int main() { int N, K, T; cin >> N >> K >> T; LazySegmentTree<P> lst(N, P(0, 0), P(-1, -1), minQ, [](P l, P r) { if (l == P(-1, -1)) return r; if (r == P(-1, -1)) return l; if (l == P(-2, -2) || r == P(-2, -2)) return P(-2, -2); return l.second == r.first ? P(l.first, r.second) : P(-2, -2); }); for (int i = 0, l, r, x; i < T; i++) { cin >> l >> r >> x; l--; r--; lst.update(l, r, P(x - 1, x)); } int res = 0; for (int i = 0; i < N; i++) { if (lst.find(i) == P(0, K)) { res++; } } cout << res << endl; return 0; }
#include <bits/stdc++.h> #define ll long long #define INF 1000000005 #define MOD 1000000007 #define EPS 1e-10 #define rep(i,n) for(int i=0;i<(int)(n);++i) #define rrep(i,n) for(int i=(int)(n)-1;i>=0;--i) #define srep(i,s,t) for(int i=(int)(s);i<(int)(t);++i) #define each(a,b) for(auto& (a): (b)) #define all(v) (v).begin(),(v).end() #define len(v) (int)(v).size() #define zip(v) sort(all(v)),v.erase(unique(all(v)),v.end()) #define cmx(x,y) x=max(x,y) #define cmn(x,y) x=min(x,y) #define fi first #define se second #define pb push_back #define show(x) cout<<#x<<" = "<<(x)<<endl #define spair(p) cout<<#p<<": "<<p.fi<<" "<<p.se<<endl #define sar(a,n) cout<<#a<<":";rep(pachico,n)cout<<" "<<a[pachico];cout<<endl #define svec(v) cout<<#v<<":";rep(pachico,v.size())cout<<" "<<v[pachico];cout<<endl #define svecp(v) cout<<#v<<":";each(pachico,v)cout<<" {"<<pachico.first<<":"<<pachico.second<<"}";cout<<endl #define sset(s) cout<<#s<<":";each(pachico,s)cout<<" "<<pachico;cout<<endl #define smap(m) cout<<#m<<":";each(pachico,m)cout<<" {"<<pachico.first<<":"<<pachico.second<<"}";cout<<endl using namespace std; typedef pair<int,int> P; typedef pair<ll,ll> pll; typedef vector<int> vi; typedef vector<vi> vvi; typedef vector<ll> vl; typedef vector<vl> vvl; typedef vector<double> vd; typedef vector<P> vp; typedef vector<string> vs; const int MAX_N = 200005; #define getchar getchar_unlocked #define putchar putchar_unlocked inline int in() { int n = 0; short c; while ((c = getchar()) >= '0') n = n * 10 + c - '0'; return n; } vector<int> vec[MAX_N]; int id[MAX_N]; int main() { int n = in(), K = in(), T = in(); rep(i,T){ int l = in(),r = in(); id[i] = in(); vec[l-1].pb(T+i); vec[r].pb(i); } set<P> st = {P(-1,INF), P(T,INF)}; int ans = 0, cnt = 0, sm = 0; rep(i,n){ each(val,vec[i]){ if(val >= T){ cnt++; val -= T; auto it = st.lower_bound(P(val,INF)); int nx = it->se; --it; int prv = it->se; if(nx-prv==1) sm--; if(nx == id[val]+1) sm++; if(prv == id[val]-1) sm++; st.insert(P(val,id[val])); }else{ cnt--; auto it = st.lower_bound(P(val,INF)); int nx = it->se; --it, --it; int prv = it->se; ++it, st.erase(it); if(nx-id[val]==1) sm--; if(id[val]-prv==1) sm--; if(nx-prv==1) sm++; } } if(cnt == K && sm == K-1) ans++; } cout << ans << "\n"; return 0; }
#include <iostream> #include <stdio.h> #include <math.h> #include <string.h> #include <time.h> #include <stdlib.h> #include <string> #include <bitset> #include <vector> #include <set> #include <map> #include <queue> #include <algorithm> #include <sstream> #include <stack> #include <iomanip> using namespace std; inline char nc(){ static char buf[100000],*p1=buf,*p2=buf; if (p1==p2) { p2=(p1=buf)+fread(buf,1,100000,stdin); if (p1==p2) return EOF; } return *p1++; } inline void read(int &x){ char c=nc(),b=1; for (;!(c>='0' && c<='9');c=nc()) if (c=='-') b=-1; for (x=0;c>='0' && c<='9';x=x*10+c-'0',c=nc()); x*=b; } const int N=200005; struct abcd{ int l,r; abcd(int l=-1,int r=-1):l(l),r(r) { } bool operator == (const abcd &B) const{ return l==B.l && r==B.r; } }T[N<<2]; bool Jud(abcd L,abcd R){ return L.r+1==R.l; } inline void Push(int x,abcd u){ if (T[x]==abcd(-1,-1)) { T[x]=u; return; } if (T[x]==abcd(-2,-2)) return; if (u==abcd(-2,-2)) { T[x]=u; return; } if (Jud(T[x],u) || T[x]==abcd(-1,-1)) T[x].r=u.r; else T[x]=abcd(-2,-2); } inline void Modify(int x,int l,int r,int ql,int qr,abcd u){ int mid=(l+r)>>1; if (!(T[x]==abcd(-1,-1)) && l!=r) Push(x<<1,T[x]),Push(x<<1|1,T[x]),T[x]=abcd(-1,-1); if (ql<=l && r<=qr){ Push(x,u); return; } if (ql<=mid) Modify(x<<1,l,mid,ql,qr,u); if (mid<qr) Modify(x<<1|1,mid+1,r,ql,qr,u); } int n,K; int cnt=0; inline void Query(int x,int l,int r){ if (l==r){ if (T[x]==abcd(0,K)) cnt++; return; } if (!(T[x]==abcd(-1,-1)) && l!=r) Push(x<<1,T[x]),Push(x<<1|1,T[x]),T[x]=abcd(-1,-1); int mid=(l+r)>>1; Query(x<<1,l,mid); Query(x<<1|1,mid+1,r); } int main(){ int Q; int l,r,c; read(n); read(K); T[1]=abcd(0,0); read(Q); while (Q--){ read(l); read(r); read(c); Modify(1,1,n,l,r,abcd(c,c)); } Query(1,1,n); printf("%d\n",cnt); return 0; }
#include <bits/stdc++.h> #define rep(i,n) for(int i=0;i<n;++i) using namespace std; using pii = pair<int, int>; #define fst first #define snd second const pii fail = pii(-1, -1); inline pii exec(pii cur, pii add) { if (cur == fail or add == fail) return fail; if (cur.snd == 0) return add; if (cur.snd != add.fst) return fail; return pii(cur.fst, add.snd); } const int sz = 1 << 18; pii data[2 * sz], lazy[2 * sz]; inline void lazy_eval(int k) { if (lazy[k].snd == 0) return; for (int nk = 2 * k + 1; nk <= 2 * k + 2; ++nk) { data[nk] = exec(data[nk], lazy[k]); lazy[nk] = exec(lazy[nk], lazy[k]); } lazy[k].snd = 0; } void query(int a, int b, int k, pii add, int l, int r) { if (b <= l or r <= a ) return; if (a <= l and r <= b) { data[k] = exec(data[k], add); lazy[k] = exec(lazy[k], add); return ; } lazy_eval(k); const int m = (l + r) / 2; query(a, b, 2 * k + 1, add, l, m); query(a, b, 2 * k + 2, add, m, r); } int main(void) { int n, k, t; cin >> n >> k >> t; rep(i, 2 * sz) { data[i] = pii(0, 1); lazy[i] = pii(0, 0); } rep(loop, t) { int l, r, x; cin >> l >> r >> x, l--; query(l, r, 0, pii(x, x + 1), 0, sz); } rep(i, sz - 1) lazy_eval(i); int ans = 0; rep(i, n){ //cerr << data[sz - 1 + i].fst << " " << data[sz - 1 + i].snd << endl; if (data[sz - 1 + i].fst == 0 and data[sz - 1 + i].snd == k + 1) ans++; } cout << ans << endl; }
#include<bits/stdc++.h> #define rep(i,n) for(int i=0;i<(int)(n);i++) using namespace std; struct inv{ int l,r; //closed interval inv(int a=0,int b=0):l(a),r(b){} inv operator+=(inv x){ if(l==0 && r==0)l = x.l, r = x.r; else if(r+1==x.l)r = x.r; else l=-1,r=-1; return *this; } bool operator==(inv x){ return l==x.l && r==x.r; } bool operator!=(inv x){ return l!=x.l || r!=x.r; } }; class SegmentTree{ int n; vector<inv> node; public: SegmentTree(int n_){ n = 1; while(n<n_)n*=2; node.resize(2*n-1); for(int i=0;i<2*n-1;i++)node[i] = inv(0,0); } inv get(int x){ x += n-1; inv res = node[x]; while(x){ x = (x-1)/2; if(node[x] != inv(0,0)){ res += node[x]; } } return res; } void add(int l, int r, inv x){ add(l,r,x,0,n,0); } void add(int l, int r, inv x, int a, int b, int k){ if(r<=a || b<=l)return; if(l<=a && b<=r){ node[k] += x; return; } if(node[k] != inv(0,0)){ add(a,(a+b)/2,node[k],a,(a+b)/2,2*k+1); add((a+b)/2,b,node[k],(a+b)/2,b,2*k+2); } add(l,r,x,a,(a+b)/2,2*k+1); add(l,r,x,(a+b)/2,b,2*k+2); node[k] = inv(0,0); } }; int main(){ int n,k,t; cin >> n >> k >> t; SegmentTree st(n); for(int i=0;i<t;i++){ int l,r,x; cin >> l >> r >> x; l--; st.add(l,r,inv(x,x)); } int ans = 0; for(int i=0;i<n;i++){ if(st.get(i) == inv(1,k))ans++; } cout << ans << endl; }
#include<bits/stdc++.h> using namespace std; #define BS 500 #define MAX 214514 int up[500],fr[500],to[500],ou[500]; int dn[MAX]; void eval(int p){ if(!up[p]) return; for(int j=BS*p;j<BS*(p+1);j++){ if(dn[j]==fr[p]) dn[j]=to[p]; else dn[j]=-1; } up[p]=0; } signed main(){ int n,k,t; cin>>n>>k>>t; memset(up,0,sizeof(up)); memset(fr,0,sizeof(fr)); memset(to,0,sizeof(to)); memset(ou,0,sizeof(ou)); memset(dn,0,sizeof(dn)); int l[t],r[t],x[t]; for(int i=0;i<t;i++) cin>>l[i]>>r[i]>>x[i]; for(int i=0;i<t;i++){ l[i]--; int p=0; while(BS*p<=l[i]) p++; eval(p-1); for(int j=l[i];j<min(r[i],BS*p);j++){ if(ou[j/BS]) break; if(dn[j]==x[i]-1) dn[j]=x[i]; else dn[j]=-1; } for(;BS*(p+1)<=r[i];p++){ if(ou[p]) continue; if(up[p]){ if(to[p]==x[i]-1) to[p]=x[i]; else ou[p]=1; }else{ up[p]=1; fr[p]=x[i]-1; to[p]=x[i]; } } eval(p); for(int j=BS*p;j<r[i];j++){ if(ou[j/BS]) break; if(dn[j]==x[i]-1) dn[j]=x[i]; else dn[j]=-1; } } int p=0; while(BS*p<n) eval(p++); int ans=0; for(int j=0;j<n;j++){ if(ou[j/BS]) continue; ans+=dn[j]==k; } cout<<ans<<endl; return 0; }
#include <bits/stdc++.h> using namespace std; typedef pair<int,int>P; struct segtree{ int n; vector<P>lazy; segtree(int sz){ n = 1; while( n < sz ) n<<=1; lazy.resize(2*n-1); for(int i=0;i<2*n-1;i++)lazy[i]=P(0,0); } void eval(int k,P x,int l,int r){ if(x.second==0)return ; if(lazy[k].second==0)lazy[k]=x; else if(lazy[k].second+1==x.first)lazy[k].second=x.second; else lazy[k]=P(1e9,1e9); } void add(int a,int b,int x,int k=0,int l=0,int r=-1){ if(r==-1)r=n; if(b<=l || r<=a)return; if(a<=l&&r<=b){ eval(k,P(x,x),l,r); } else{ eval(k*2+1,lazy[k],l,r); eval(k*2+2,lazy[k],l,r); lazy[k]=P(0,0); add(a,b,x,2*k+1,l,(l+r)/2); add(a,b,x,2*k+2,(l+r)/2,r); } } }; #define r(i,n) for(int i=0;i<n;i++) int main(){ int n,K,t,sum=0; cin>>n>>K>>t; segtree S(n); r(i,t){ int l,r,x; cin>>l>>r>>x; l--; r--; S.add(l,r+1,x); } r(i,n)S.add(i,i+1,K+1); r(i,S.n*2-1){ if(S.lazy[i].first==1 && S.lazy[i].second==K+1){ sum++; } } cout<<sum<<endl; }
#include <vector> #include <algorithm> #include <iostream> #include <cstdio> using namespace std; const int BUCKET_SIZE = 512; const int MAXN = 200010; int N, K, T; int node[MAXN], invalid_node[MAXN]; int bucket[BUCKET_SIZE], cons[BUCKET_SIZE], invalid_bucket[BUCKET_SIZE]; void lazy_update(int i) { int sl = i*BUCKET_SIZE, sr = sl + BUCKET_SIZE; // 区間更新値があれば適用 if(cons[i] > 0) { // i: index for bucket // k: index for node for(int k=sl; k<sr; k++) { if(bucket[i] - cons[i] != node[k]) { invalid_node[k] = true; } else { node[k] = bucket[i]; } } cons[i] = 0; } } void update(int l, int r, int x) { for(int i=0; i<BUCKET_SIZE; i++) { int sl = i*BUCKET_SIZE, sr = sl + BUCKET_SIZE; if(r <= sl or sr <= l) continue; if(l <= sl and sr <= r) { if(cons[i] > 0) { // 区間更新されるような値が以前に存在 if(x - bucket[i] != 1) { invalid_bucket[i] = true; } else { bucket[i] = x; cons[i]++; } } else { // 区間更新値がはじめてきた bucket[i] = x; cons[i] = 1; } } else { lazy_update(i); for(int k=max(l,sl); k<min(r,sr); k++) { if(x - node[k] != 1) { invalid_node[k] = true; } else { node[k] = x; } } } } } bool is_valid_node(int node_id) { int bucket_id = node_id / BUCKET_SIZE; lazy_update(bucket_id); if(invalid_bucket[bucket_id]) return false; if(invalid_node[node_id]) return false; return node[node_id] == K; } int main() { cin >> N >> K >> T; for(int i=0; i<T; i++) { int l, r, x; cin >> l >> r >> x; l--; update(l, r, x); } int ans = 0; for(int i=0; i<N; i++) { ans += is_valid_node(i); } cout << ans << endl; return 0; }
#include<bits/stdc++.h> #define range(i,a,b) for(int i = (a); i < (b); i++) #define rep(i,b) for(int i = 0; i < (b); i++) #define all(a) (a).begin(), (a).end() #define show(x) cerr << #x << " = " << (x) << endl; using namespace std; template<typename T> ostream& operator << (ostream& os, vector<T>& v){ rep(i,v.size()){ os << v[i] << (i == v.size() - 1 ? "" : " "); } return os; } template<typename T> istream& operator >> (istream& is, vector<T>& v){ for(T& x: v){ is >> x; } return is; } const int INF = 2000000000; const int sqrtN = 512; class sqdiv{ public: int N, K; vector<int> data; vector<bool> lazy_flag; vector<pair<int, int>> lazy_update; sqdiv(int n){ //バケットサイズの変更 N = n; K = (N + sqrtN - 1) / sqrtN; data.assign(K * sqrtN, 0); lazy_flag.assign(K, false); lazy_update.assign(K, make_pair(0,0)); } void eval(int k){ if(lazy_flag[k]){ lazy_flag[k] = false; for(int i = k * sqrtN; i < (k + 1) * sqrtN; i++){ data[i] = data[i] + 1 == lazy_update[k].first ? lazy_update[k].second : INF; } } } void update(int x, int y, int a){ rep(k,K){ int l = k * sqrtN, r = (k + 1) * sqrtN; if(r <= x || y <= l) continue; if(x <= l && r <= y){ if(lazy_flag[k]){ lazy_update[k].second = lazy_update[k].second + 1 == a ? a : INF; }else{ lazy_flag[k] = true; lazy_update[k] = make_pair(a,a); } }else{ eval(k); for(int i = max(x, l); i < min(y, r); i++){ data[i] = data[i] + 1 == a ? a : INF; } } } } int find(int a){ int k = a / sqrtN; eval(k); return data[a]; } }; int main(){ int n, k, t; cin >> n >> k >> t; sqdiv s(n); rep(i,t){ int l, r, x; cin >> l >> r >> x; l--; s.update(l, r, x); //cout << s.data << endl; } int cnt = 0; rep(i,n){ //cout << s.find(i) << ' '; if(s.find(i) == k) cnt++; } //cout << endl; cout << cnt << endl; /* * 1 -2 3 -4 */ }
#include<bits/stdc++.h> using namespace std; #define int long long typedef pair<int,int>pint; typedef vector<int>vint; typedef vector<pint>vpint; #define pb push_back #define mp make_pair #define fi first #define se second #define all(v) (v).begin(),(v).end() #define rep(i,n) for(int i=0;i<(n);i++) #define reps(i,f,n) for(int i=(f);i<(n);i++) #define each(it,v) for(__typeof((v).begin()) it=(v).begin();it!=(v).end();it++) template<class T,class U>inline void chmin(T &t,U f){if(t>f)t=f;} template<class T,class U>inline void chmax(T &t,U f){if(t<f)t=f;} const int SEG=1<<18; pint seg[SEG*2]; pint put[SEG*2]; const pint none(-100,-100); const pint fail(-10,-10); inline void push(int k){ if(put[k]==none)return; if(put[k]==fail){ seg[k]=fail; } if(seg[k].se+1==put[k].fi){ seg[k].se=put[k].se; } else{ seg[k]=fail; } if(k<SEG-1){ for(int i=1;i<=2;i++){ if(put[k*2+i]==none)put[k*2+i]=put[k]; else if(put[k*2+i]==fail)continue; else if(put[k]==fail||put[k*2+i].se+1!=put[k].fi)put[k*2+i]=fail; else put[k*2+i].se=put[k].se; } } put[k]=none; } void update(int a,int b,pint s,int k=0,int l=0,int r=SEG){ push(k); if(r<=a||b<=l)return; if(a<=l&&r<=b){ put[k]=s; push(k); return; } update(a,b,s,k*2+1,l,(l+r)/2); update(a,b,s,k*2+2,(l+r)/2,r); } signed main(){ int N,K; cin>>N>>K; rep(i,SEG*2){ seg[i]=pint(0,0); put[i]=none; } int Q;cin>>Q; while(Q--){ int a,b,c; cin>>a>>b>>c; a--; update(a,b,pint(c,c)); } rep(i,SEG*2)push(i); int ans=0; rep(i,N)if(seg[SEG-1+i]==pint(0,K))ans++; cout<<ans<<endl; return 0; }
#include<bits/stdc++.h> using namespace std; /*RMQ update:O(logN) query:O(lonN)*/ const int MAX_N = 1<<20; struct data{ int l,r; }; data dat[2*MAX_N-1]; int n; //????????? void init(int n_){ //????´???°n???2??????????????? n=1; while(n<n_)n*=2; for(int i=0;i<2*n-1;i++) dat[i].l=dat[i].r=0; } //[a,b) //query(a,b,0,0,n) void query(int a,int b,int k,int l,int r,int x){ if(r<=a||b<=l)return; if(a<=l&&r<=b){ if(!dat[k].l)dat[k].l=dat[k].r=x; else if(dat[k].r+1==x)dat[k].r=x; else dat[k].l=dat[k].r=-1; }else{ if(dat[k].l){ if(!dat[k*2+1].l)dat[k*2+1].l=dat[k].l,dat[k*2+1].r=dat[k].r; else if(dat[k*2+1].r+1==dat[k].l)dat[k*2+1].r=dat[k].r; else dat[k*2+1].l=dat[k*2+1].r=-1; if(!dat[k*2+2].l)dat[k*2+2].l=dat[k].l,dat[k*2+2].r=dat[k].r; else if(dat[k*2+2].r+1==dat[k].l)dat[k*2+2].r=dat[k].r; else dat[k*2+2].l=dat[k*2+2].r=-1; dat[k].l=dat[k].r=0; } query(a,b,k*2+1,l,(l+r)/2,x); query(a,b,k*2+2,(l+r)/2,r,x); } } int main(){ int k,t,l,r,x; cin>>n>>k>>t; init(n); for(int i=0;i<t;i++){ cin>>l>>r>>x; l--,r--; query(l,r+1,0,0,n,x); } int ans=0; for(int i=0;i<n;i++){ query(i,i+1,0,0,n,k+1); if(dat[n+i-1].l==1&&dat[n+i-1].r==k+1) ans++; } cout<<ans<<endl; return 0; }
#include <cstdio> #include <vector> using namespace std; struct SegmentTree { int N; vector<int> dl, dr; SegmentTree(int N_) { N = 1; while (N < N_) { N *= 2; } dl.assign(2 * N - 1, -1); dr.assign(2 * N - 1, -1); for (int i = N - 1; i < 2 * N - 1; i++) { dl[i] = 0; dr[i] = 1; } } void eval(int k, int l, int r) { if (r == -1) { return; } if (dr[k] == -1) { dl[k] = l; dr[k] = r; } else if (dr[k] == l) { dr[k] = r; } else { dl[k] = dr[k] = -2; } } void update(int a, int b, int k, int l, int r, int x) { if (r <= a || b <= l) { return; } if (a <= l && r <= b) { eval(k, x, x + 1); } else { eval(k * 2 + 1, dl[k], dr[k]); eval(k * 2 + 2, dl[k], dr[k]); dl[k] = dr[k] = -1; update(a, b, k * 2 + 1, l, (l + r) / 2, x); update(a, b, k * 2 + 2, (l + r) / 2, r, x); } } void update(int l, int r, int x) { update(l, r + 1, 0, 0, N, x); } int query(int K) { for (int i = 0; i < N - 1; i++) { eval(i * 2 + 1, dl[i], dr[i]); eval(i * 2 + 2, dl[i], dr[i]); } int cnt = 0; for (int i = N - 1; i < 2 * N - 1; i++) { if (dl[i] == 0 && dr[i] == K + 1) { cnt += 1; } } return cnt; } }; int main() { int N, K, T; scanf("%d %d %d", &N, &K, &T); SegmentTree seg(N); for (int i = 0; i < T; i++) { int l, r, x; scanf("%d %d %d", &l, &r, &x); seg.update(l - 1, r - 1, x); } printf("%d\n", seg.query(K)); return 0; }
#include<bits/stdc++.h> using namespace std; const int MAX_N = 1<<20; struct data{ int l,r; }; data dat[2*MAX_N-1]; int n; void init(int n_){ n=1; while(n<n_)n*=2; for(int i=0;i<2*n-1;i++) dat[i].l=dat[i].r=0; } void query(int a,int b,int k,int l,int r,int x){ if(r<=a||b<=l)return; if(a<=l&&r<=b){ if(!dat[k].l)dat[k].l=dat[k].r=x; else if(dat[k].r+1==x)dat[k].r=x; else dat[k].l=dat[k].r=-1; }else{ int k1=k*2+1,k2=k*2+2; int L=dat[k].l,R=dat[k].r; if(L){ if(!dat[k1].l)dat[k1].l=L,dat[k1].r=R; else if(dat[k1].r+1==L)dat[k1].r=R; else dat[k1].l=dat[k1].r=-1; if(!dat[k2].l)dat[k2].l=L,dat[k2].r=R; else if(dat[k2].r+1==L)dat[k2].r=R; else dat[k2].l=dat[k2].r=-1; dat[k].l=dat[k].r=0; } query(a,b,k1,l,(l+r)/2,x); query(a,b,k2,(l+r)/2,r,x); } } int main(){ int k,t,l,r,x; cin>>n>>k>>t; init(n); for(int i=0;i<t;i++){ scanf("%d%d%d",&l,&r,&x); l--,r--; query(l,r+1,0,0,n,x); } int ans=0; for(int i=0;i<n;i++){ query(i,i+1,0,0,n,k+1); if(dat[n+i-1].l==1&&dat[n+i-1].r==k+1) ans++; } cout<<ans<<endl; return 0; }
#include <bits/stdc++.h> const int N = 200005; int id[N], val[N], min[N], max[N], add[N], pri[N], n, k, t, ans; int lc[N], rc[N]; void setadd(int x, int v) { min[x] += v, max[x] += v, add[x] += v, val[x] += v; } void pushdown(int x) { if (add[x]) setadd(lc[x], add[x]), setadd(rc[x], add[x]), add[x] = 0; } void pushup(int x) { min[x] = max[x] = val[x]; if (lc[x]) min[x] = std::min(min[x], min[lc[x]]), max[x] = std::max(max[x], max[lc[x]]); if (rc[x]) min[x] = std::min(min[x], min[rc[x]]), max[x] = std::max(max[x], max[rc[x]]); } void split(int now, int k, int &x, int &y) { if (!now) return void(x = y = 0); pushdown(now); if (id[now] <= k) x = now, split(rc[x], k, rc[x], y); else y = now, split(lc[y], k, x, lc[y]); pushup(now); } int merge(int x, int y) { if (!x || !y) return x | y; if (pri[x] < pri[y]) return pushdown(x), rc[x] = merge(rc[x], y), pushup(x), x; else return pushdown(y), lc[y] = merge(x, lc[y]), pushup(y), y; } int root; void dfs(int &x, int k) { if (!x) return; if (min[x] == max[x] && min[x] == k - 1) return setadd(x, 1); pushdown(x); dfs(lc[x], k), dfs(rc[x], k); if (val[x] == k - 1) return val[x] += 1, pushup(x); x = merge(lc[x], rc[x]); } void count(int x) { if (!x) return; pushdown(x); if (val[x] == k) ++ans; count(lc[x]), count(rc[x]); } int main() { std::ios::sync_with_stdio(0), std::cin.tie(0); std::srand(std::time(0)); std::cin >> n >> k >> t; for (int i = 1; i <= n; ++i) pri[i] = std::rand(), id[i] = i, pushup(i), root = merge(root, i); for (int i = 1; i <= t; ++i) { int l, r, g; std::cin >> l >> r >> g; int a, b; split(root, r, root, b); split(root, l - 1, a, root); dfs(root, g); root = merge(a, merge(root, b)); } count(root); std::cout << ans << '\n'; return 0; }
#include<iostream> #include<string> #include<cstdio> #include<vector> #include<cmath> #include<algorithm> #include<functional> #include<iomanip> #include<queue> #include<ciso646> #include<random> #include<map> #include<set> #include<bitset> #include<stack> #include<unordered_map> #include<utility> #include<cassert> #include<complex> using namespace std; //#define int long long typedef long long ll; typedef unsigned long long ul; typedef unsigned int ui; const ll mod = 1000000007; const ll INF = mod * mod; typedef pair<int, int>P; typedef pair<int, bool> sP; #define stop char nyaa;cin>>nyaa; #define rep(i,n) for(int i=0;i<n;i++) #define per(i,n) for(int i=n-1;i>=0;i--) #define Rep(i,sta,n) for(int i=sta;i<n;i++) #define rep1(i,n) for(int i=1;i<=n;i++) #define per1(i,n) for(int i=n;i>=1;i--) #define Rep1(i,sta,n) for(int i=sta;i<=n;i++) typedef pair<ll, ll> LP; typedef vector<ll> vec; typedef long double ld; typedef pair<ld, ld> LDP; const ld eps = 1e-5; const ld pi = acos(-1.0); typedef vector<vector<ll>> mat; typedef vector<ll> vec; struct SegT { private: int n; vector<int> node;vector<P> lazy; vector<bool> valid,avalid; const ll init_c = INF; public: SegT(int sz) { n = 1; while (n < sz)n <<= 1; node.resize(2 * n - 1, 0); lazy.resize(2 * n - 1, { -1,-1 }); valid.resize(2 * n - 1, true); avalid.resize(2 * n - 1, true); } bool lazymerge(P &fr,P &to) { if (to.first < 0) { to = fr; } else { if (to.second + 1 == fr.first) { to.second = fr.second; } else { return false; } } return true; } void eval(int k, int l, int r) { if (lazy[k].first >= 0) { //cout << k << " " << node[k] << " " << lazy[k].first << " " << lazy[k].second << endl; if (node[k] + 1 == lazy[k].first) { node[k] = lazy[k].second; } else { avalid[k] = false; } if (r - l > 1) { if (!lazymerge(lazy[k], lazy[2 * k + 1])) { valid[2 * k + 1] = false; } if (!lazymerge(lazy[k], lazy[2 * k + 2])) { valid[2 * k + 2] = false; } } } lazy[k] = { -1,-1 }; } void add(int x, int a, int b, int k = 0, int l = 0, int r = -1) { if (r < 0)r = n; eval(k, l, r); if (r <= a || b <= l)return; if (a <= l && r <= b) { lazy[k] = { x,x }; eval(k, l, r); } else { add(x, a, b, k * 2 + 1, l, (l + r) / 2); add(x, a, b, k * 2 + 2, (l + r) / 2, r); } } void clear_lazy() { queue<pair<int, P>> q; q.push({ 0,{0,n} }); while (!q.empty()) { int k = q.front().first; int l = q.front().second.first; int r = q.front().second.second; q.pop(); eval(k, l, r); if (r - l > 1) { int mid = (l + r) / 2; q.push({ 2 * k + 1,{l,mid} }); q.push({ 2 * k + 2,{mid,r} }); if (!valid[k]) { valid[2 * k + 1] = false; valid[2 * k + 2] = false; } } } } int ans(int sz,int k) { int res = 0; rep(i, sz) { if (!avalid[i + n - 1]) { valid[i + n - 1] = false; } //cout << valid[i + n - 1] << " " << node[i + n - 1] << endl; if (valid[i + n - 1] && node[i + n - 1] == k)res++; } return res; } }; void solve() { int n, k; cin >> n >> k; int t; cin >> t; SegT st(n); rep(i, t) { int l, r, x; cin >> l >> r >> x; l--; r--; st.add(x, l, r+1); } st.clear_lazy(); int ans = st.ans(n, k); cout << ans << endl; } signed main() { ios::sync_with_stdio(false); cin.tie(0); //cout << fixed << setprecision(7); //init(); solve(); //stop return 0; }
#include <bits/stdc++.h> using namespace std; int N,K,T; const int B = 512; int bfr[200010/B+1], aft[200010/B+1]; int val[200010/B*B+B]; void sync(int b){ if(bfr[b] == -1) return; for(int i = b*B; i < (b+1)*B; ++i){ val[i] = (val[i] == bfr[b]) ? aft[b] : -2; } bfr[b] = -1; aft[b] = -1; } void naive(int l, int r, int x){ for(int i = l; i < r; ++i){ val[i] = (val[i] == x-1) ? x : -2; } } void block(int l, int r, int x){ l /= B; r /= B; while(l < r){ if(aft[l] != -1){ aft[l] = (aft[l] == x-1) ? x : -2; } else { bfr[l] = x-1; aft[l] = x; } ++l; } } void exec(int l, int r, int x){ if(l/B == r/B){ sync(l/B); naive(l,r,x); } else { if(l%B){ sync(l/B); naive(l, l-l%B+B, x); l = l-l%B+B; } if(r%B){ sync(r/B); naive(r-r%B, r, x); r = r-r%B; } block(l,r,x); } } int main(){ cin.tie(0); ios::sync_with_stdio(0); cin >> N >> K; cin >> T; memset(bfr, -1, sizeof bfr); memset(aft, -1, sizeof aft); while(N%B) ++N; for(int it = 0; it < T; ++it){ int l,r,x; cin >> l >> r >> x; --l; exec(l,r,x); } for(int i = 0; i < N/B; ++i){ sync(i); } cout << count(val, val+N, K) << endl; }
#include <stdio.h> #include <cmath> #include <algorithm> #include <cfloat> #include <stack> #include <queue> #include <vector> #include <string> #include <iostream> #include <set> #include <map> #include <time.h> typedef long long int ll; typedef unsigned long long int ull; #define BIG_NUM 2000000000 #define MOD 1000000007 #define EPS 0.000000001 using namespace std; struct Info{ int start,end; }; int N = 1; Info* donut; void init(int first_N){ while(N < first_N)N *= 2; } void update(int update_left,int update_right,int new_value_start,int new_value_end,int node_id,int node_left,int node_right){ if(update_right < node_left || update_left > node_right){ return; } else if(update_left <= node_left && update_right >= node_right){ if(donut[node_id].start == 0 && donut[node_id].end == 0){ donut[node_id].start = new_value_start; donut[node_id].end = new_value_end; }else{ if(donut[node_id].end+1 == new_value_start){ donut[node_id].end = new_value_end; }else{ donut[node_id].start = BIG_NUM; donut[node_id].end = BIG_NUM; } } }else{ if(donut[node_id].start != 0){ update(node_left,node_right,donut[node_id].start,donut[node_id].end,2*node_id+1,node_left,(node_left+node_right)/2); update(node_left,node_right,donut[node_id].start,donut[node_id].end,2*node_id+2,(node_left+node_right)/2+1,node_right); } donut[node_id].start = 0; donut[node_id].end = 0; update(update_left,update_right,new_value_start,new_value_end,2*node_id+1,node_left,(node_left+node_right)/2); update(update_left,update_right,new_value_start,new_value_end,2*node_id+2,(node_left+node_right)/2+1,node_right); } } void merge_range(int node_id){ int loc = node_id+N-1; int left = donut[loc].start,right = donut[loc].end; int parent_id = (loc-1)/2; while(true){ if(donut[parent_id].start == 0 && donut[parent_id].end == 0){ //Do nothing }else{ if(left == 0 && right == 0){ left = donut[parent_id].start; right = donut[parent_id].end; }else{ if(right+1 == donut[parent_id].start){ right = donut[parent_id].end; }else{ left = BIG_NUM; right = BIG_NUM; break; } } } if(parent_id == 0)break; parent_id = (parent_id-1)/2; }; donut[loc].start = left,donut[loc].end = right; } int main(){ int first_N,K,T; scanf("%d %d",&first_N,&K); scanf("%d",&T); init(first_N); donut = new Info[2*N-1]; for(int i = 0; i <= 2*N-2; i++){ donut[i].start = 0; donut[i].end = 0; } int left,right,task_id; for(int loop = 0; loop < T; loop++){ scanf("%d %d %d",&left,&right,&task_id); left--; right--; update(left,right,task_id,task_id,0,0,N-1); } for(int i = 0; i < first_N; i++)merge_range(i); int ans = 0; for(int i = 0; i < first_N; i++){ if(donut[N-1+i].start == 1 && donut[N-1+i].end == K)ans++; } printf("%d\n",ans); return 0; }
#include <bits/stdc++.h> using namespace std; #define for_(i,a,b) for(int i=(a);i<(b);++i) typedef pair< int, int > pii; class Decoration { private: int n; vector< pii > deco, job; int toLeft(int k) { return (k << 1) + 1; } int toRight(int k) { return (k << 1) + 2; } int center(int l, int r) { return (l + r) >> 1; } pii mixDeco(pii fp, pii sp) { if (fp.first == 0) return sp; if (sp.first == 0) return fp; if (fp.first < 0 || sp.first < 0) return pii(-1,-1); if (fp.second + 1 == sp.first) return pii(fp.first, sp.second); return pii(-1, -1); } void lazyEval(int k, int l, int r) { deco[k] = mixDeco(deco[k], job[k]); if (k < n-1) { job[toLeft(k)] = mixDeco(job[toLeft(k)], job[k]); job[toRight(k)] = mixDeco(job[toRight(k)], job[k]); } job[k] = pii(0,0); } void addDeco(int a, int b, int x, int k, int l, int r) { lazyEval(k, l, r); if (r <= a || b <= l) return; if (a <= l && r <= b) { job[k] = pii(x, x); lazyEval(k, l, r); return; } addDeco(a, b, x, toLeft(k), l, center(l, r)); addDeco(a, b, x, toRight(k), center(l, r), r); } pii getDeco(int a, int k, int l, int r) { lazyEval(k, l, r); if (l == a && r == a+1) return deco[k]; int c = center(l, r); if (a < c) return getDeco(a, toLeft(k), l, c); else return getDeco(a, toRight(k), c, r); } public: Decoration(int __n) { for (n=1; n<__n; n<<=1); deco.assign(2*n, pii(0,0)); job.assign(2*n, pii(0,0)); } void addDeco(int a, int b, int x) { addDeco(a, b, x, 0, 0, n); } pii getDeco(int a) { return getDeco(a, 0, 0, n); } }; int main() { int N, K; cin >> N >> K; Decoration deco(N); int T; cin >> T; for_(i,0,T) { int l, r, x; cin >> l >> r >> x; deco.addDeco(l-1, r, x); } int ans = 0; for_(i,0,N) { pii p = deco.getDeco(i); if (p.first == 1 && p.second == K) ++ans; } cout << ans << endl; }
#include <bits/stdc++.h> using namespace std; using P = pair<int, int>; const function<P(P, P)> minQ = [](P l, P r) { return min(l, r); }; template <typename T> class LazySegmentTree { using func_t = function<T(T, T)>; const int n; const T id1, id2; func_t merge; func_t change; vector<T> data, lazy; int size(int n) { int res = 1; while (res < n) res <<= 1; return res; } void propa(int node) { if (lazy[node] == id2) return; if (node < n) { lazy[node * 2] = change(lazy[node * 2], lazy[node]); lazy[node * 2 + 1] = change(lazy[node * 2 + 1], lazy[node]); } data[node] = change(data[node], lazy[node]); lazy[node] = id2; } void suc(int l, int r, int node, int lb, int ub, T val) { if (ub <= l || r <= lb) return; propa(node); if (l <= lb && ub <= r) { lazy[node] = val; return; } int c = (lb + ub) / 2; suc(l, r, node * 2, lb, c, val); suc(l, r, node * 2 + 1, c, ub, val); data[node] = merge(change(data[node * 2], lazy[node * 2]), change(data[node * 2 + 1], lazy[node * 2 + 1])); } T sub(int l, int r, int node, int lb, int ub) { if (ub <= l || r <= lb) return id1; propa(node); if (l <= lb && ub <= r) { return data[node]; } int c = (lb + ub) / 2; return merge(sub(l, r, node * 2, lb, c), sub(l, r, node * 2 + 1, c, ub)); } public: LazySegmentTree(int n_, T id1_, T id2_, func_t merge_, func_t change_) : n(size(n_)), id1(id1_), id2(id2_), merge(merge_), change(change_), data(n * 2, id1), lazy(n * 2, id2) {} void update(int l, int r, T val) { suc(l, r + 1, 1, 0, n, val); } T find(int l) { sub(l, l + 1, 1, 0, n); return data[l + n]; } }; int main() { cin.sync_with_stdio(false); int N, K, T; cin >> N >> K >> T; LazySegmentTree<P> lst(N, P(0, 0), P(-1, -1), minQ, [](P l, P r) { if (l == P(-1, -1)) return r; if (r == P(-1, -1)) return l; if (l == P(-2, -2) || r == P(-2, -2)) return P(-2, -2); return l.second == r.first ? P(l.first, r.second) : P(-2, -2); }); for (int i = 0, l, r, x; i < T; i++) { cin >> l >> r >> x; l--; r--; lst.update(l, r, P(x - 1, x)); } int res = 0; for (int i = 0; i < N; i++) { if (lst.find(i) == P(0, K)) { res++; } } cout << res << endl; return 0; }
#include<bits/stdc++.h> using namespace std; /*RMQ update:O(logN) query:O(lonN)*/ const int MAX_N = 1<<20; struct data{ int l,r; }; data dat[2*MAX_N-1]; int n; //????????? void init(int n_){ //????´???°n???2??????????????? n=1; while(n<n_)n*=2; for(int i=0;i<2*n-1;i++) dat[i].l=dat[i].r=0; } //[a,b) //query(a,b,0,0,n) void query(int a,int b,int k,int l,int r,int x){ if(r<=a||b<=l)return; if(a<=l&&r<=b){ if(!dat[k].l)dat[k].l=dat[k].r=x; else if(dat[k].r+1==x)dat[k].r=x; else dat[k].l=dat[k].r=-1; }else{ if(dat[k].l){ if(!dat[k*2+1].l)dat[k*2+1].l=dat[k].l,dat[k*2+1].r=dat[k].r; else if(dat[k*2+1].r+1==dat[k].l)dat[k*2+1].r=dat[k].r; else dat[k*2+1].l=dat[k*2+1].r=-1; if(!dat[k*2+2].l)dat[k*2+2].l=dat[k].l,dat[k*2+2].r=dat[k].r; else if(dat[k*2+2].r+1==dat[k].l)dat[k*2+2].r=dat[k].r; else dat[k*2+2].l=dat[k*2+2].r=-1; dat[k].l=dat[k].r=0; } query(a,b,k*2+1,l,(l+r)/2,x); query(a,b,k*2+2,(l+r)/2,r,x); } } int main(){ int k,t,l,r,x; cin>>n>>k>>t; init(n); for(int i=0;i<t;i++){ scanf("%d%d%d",&l,&r,&x); l--,r--; query(l,r+1,0,0,n,x); } int ans=0; for(int i=0;i<n;i++){ query(i,i+1,0,0,n,k+1); if(dat[n+i-1].l==1&&dat[n+i-1].r==k+1) ans++; } cout<<ans<<endl; return 0; }
#include <bits/stdc++.h> using namespace std; typedef long long ll; using T = tuple<int, int, int>;// l,r,k using P = pair<int, int>;// t, k vector<P> in[200000]; vector<P> out[200000]; int cnt[200010]; int main(){ cin.tie(0); ios::sync_with_stdio(false); #ifdef LOCAL std::ifstream ifs("in"); std::cin.rdbuf(ifs.rdbuf()); #endif int N, K, Q; cin >> N >> K >> Q; for(int i = 0; i < Q; i++){ int l, r, k; cin >> l >> r >> k; l--, r--; in[l].push_back({ i, k }); out[r].push_back({ i, k }); } int ans = 0, NG = 0; set<P> s; map<int, int> cm; cm[0] = K; for(int i = 0; i < N; i++){ for(auto x : in[i]){ s.insert(x); auto it = s.find(x); if(it != s.begin()){ auto pre = prev(it); if(pre->second >= it->second) NG++; auto nxt = next(it); if(nxt != s.end()){ if(pre->second >= nxt->second) NG--; } } { auto nxt = next(it); if(nxt != s.end()){ if(it->second >= nxt->second) NG++; } } cm[cnt[x.second]]--; cnt[x.second]++; cm[cnt[x.second]]++; } if(NG == 0 && cm[1] == K && s.size() == K){ ans++; } for(auto x : out[i]){ auto it = s.find(x); if(it != s.begin()){ auto pre = prev(it); if(pre->second >= it->second) NG--; auto nxt = next(it); if(nxt != s.end()){ if(pre->second >= nxt->second) NG++; } } { auto nxt = next(it); if(nxt != s.end()){ if(it->second >= nxt->second) NG--; } } s.erase(x); cm[cnt[x.second]]--; cnt[x.second]--; cm[cnt[x.second]]++; } } cout << ans << endl; }
#include<iostream> #include<string> #include<algorithm> #include<vector> #include<iomanip> #include<math.h> #include<complex> #include<queue> #include<deque> #include<stack> #include<map> #include<set> #include<bitset> #include<functional> #include<assert.h> #include<numeric> using namespace std; #define REP(i,m,n) for(int i=(int)(m) ; i < (int) (n) ; ++i ) #define rep(i,n) REP(i,0,n) using ll = long long; const int inf=1e9+7; const ll longinf=1LL<<60 ; const ll mod=1e9+7 ; template<typename T, typename S> struct LazySegmentTree{ private: int n; vector<T> node; vector<S> lazy; T E0; S E1; inline void updatef(S& lazy,S& value){ //lazy += value; lazy.first = lazy.first * value.first ; lazy.second = (lazy.second * value.first + value.second ); //lazy = max(lazy, value); //lazy = min(lazy, value); } inline void calculatef(T& node,S& lazy,int len){ //node += lazy * len; //区間sumはこっち // node += lazy ; //区間maxとか node = lazy.first * node + lazy.second ; } inline T queryf(T& x,T& y){ //return x + y; //return x * y; //return max(x, y); return x+y; } public: LazySegmentTree(int sz,T nodeE,S lazyE ):E0(nodeE), E1(lazyE){ n=1; while(n<sz)n<<=1; node.resize(2*n-1,E0); lazy.resize(2*n-1,E1); } LazySegmentTree(vector<T>& v,T E0,S E1 ):E0(E0),E1(E1){ n=1; int sz=v.size(); while(n<sz)n<<=1; node.resize(2*n-1,E0); lazy.resize(2*n-1,E1); rep(i,sz)node[i+n-1] = v[i]; for(int i=n-2; i>=0; --i){ node[i] = queryf(node[2*i+1],node[2*i+2]); } } void eval(int k,int l,int r){ if(lazy[k]==E1)return ; calculatef(node[k], lazy[k], r-l); if(r-l>1){ updatef(lazy[2*k+1], lazy[k]); updatef(lazy[2*k+2], lazy[k]); } lazy[k]=E1; } void update(int a, int b, S x,int k=0,int l=0,int r=-1){ if(r<0)r=n; eval(k,l,r); if(r<=a||b<=l)return; if(a<=l&&r<=b){ updatef(lazy[k], x); eval(k,l,r); } else { update(a,b,x,2*k+1,l,(l+r)/2); update(a,b,x,2*k+2,(l+r)/2,r); node[k]=queryf(node[2*k+1], node[2*k+2]); } } T query(int a,int b,int k=0,int l=0,int r=-1){ if(r<0)r=n; eval(k,l,r); if(r<=a||b<=l)return E0; if(a<=l&&r<=b)return node[k]; T xl=query(a,b,2*k+1,l,(l+r)/2); T xr=query(a,b,2*k+2,(l+r)/2,r); return queryf(xl, xr); } }; using ull = unsigned long long; int main(){ int n,k,t; cin>>n>>k>>t; LazySegmentTree<ull,pair<ull,ull>> sg(n,0,{1,0}); const ull p = mod; while(t--){ int l, r, x; cin>>l>>r>>x; sg.update(l-1,r,{mod,x}); } ull ok = 0; rep(i,k){ ok = ok * p + (i+1); } int ans=0; rep(i,n){ if(sg.query(i,i+1)==ok)++ans; } cout<<ans<<endl; return 0; }
#include <iostream> #include <algorithm> #include <map> using namespace std; typedef pair<int, int>P; P tree[524300]; void update(int id, int d, int l, int r, int a, int b){ int L = (id<<d) - 262144; int R = (id<<d) + (1<<d) - 1 - 262144; if(r < L || R < l)return; if(l<=L && R<=r){ if(tree[id].first==0){ tree[id].first = a; tree[id].second = b; //cout<<L<<" "<<R<<" -> "<<tree[id].first<<" "<<tree[id].second<<endl; } else if(tree[id].second+1==a){ tree[id].second = b; //cout<<L<<" "<<R<<" -> "<<tree[id].first<<" "<<tree[id].second<<endl; } else{ tree[id] = P(999999, 999999); //cout<<L<<" "<<R<<" -> "<<tree[id].first<<" "<<tree[id].second<<endl; } } else if(tree[id].first==999999){ } else if(tree[id].first==0){ update(id*2, d-1, l, r, a, b); update(id*2+1, d-1, l, r, a, b); } else{ update(id*2, d-1,L,R,tree[id].first,tree[id].second); update(id*2+1, d-1,L,R,tree[id].first,tree[id].second); tree[id].first = 0; tree[id].second = 0; //cout<<L<<" "<<R<<" -> "<<tree[id].first<<" "<<tree[id].second<<endl; update(id*2, d-1, l, r, a, b); update(id*2+1, d-1, l, r, a, b); } } P check(int id, P p){ if(id==0)return p; if(tree[id].first!=0){ //cout<<tree[id].first<<" "<<tree[id].second<<endl; if(p.first==0){ p=tree[id]; } else if(p.second+1==tree[id].first){ p.second=tree[id].second; } else{ p = P(999999, 999999); } } return check(id/2, p); } int main(){ int N, K, T; cin>>N>>K>>T; for(int i=0;i<T;i++){ int l, r, x; cin>>l>>r>>x; update(1, 18, l, r, x, x); } int ans = 0; for(int i=1;i<=N;i++){ P p = check(262144+i, P(0, 0)); //cout<<i<<" : "<<p.first<<" "<<p.second<<endl; if(p.first==1 && p.second==K)ans++; } cout<<ans<<endl; return 0; }
#include <iostream> #include <vector> #include <algorithm> #include <utility> using namespace std; typedef pair<int, int> pii; const pii invalid(-100, -100); const pii neutral(-1, -1); pii merge(const pii &a, const pii &b){ if(a.second + 1 == b.first){ return pii(a.first, b.second); } return invalid; } int main(){ int n,k,t; cin >> n >> k >> t; const int siz = 512; vector<pii> bucket(n/siz + 1, neutral); vector<pii> cell(n, pii(0, 0)); for(int i=0; i<t; i++){ int l,r,x; cin >> l >> r >> x; l--; //[l, r), 0-idx int lmin=l-l%siz, rmin=r-1-(r-1)%siz; int lmax=lmin+siz, rmax=rmin+siz; vector<pii> range{pii(lmin, lmax)}; if(lmin < rmin){ range.emplace_back(rmin, rmax); } for(auto ra: range){ for(int j=ra.first; j<ra.second; j++){ if(bucket[j/siz] != neutral){ cell[j] = merge(cell[j], bucket[j/siz]); } if(l<=j and j<r){ cell[j] = merge(cell[j], pii(x, x)); } } bucket[ra.first/siz] = neutral; } for(int j=lmax/siz; j<rmin/siz; j++){ if(bucket[j] == neutral){ bucket[j] = pii(x, x); }else{ bucket[j] = merge(bucket[j], pii(x, x)); } } } int ans = 0; for(int i=0; i<n; i++){ if(bucket[i/siz] != neutral){ cell[i] = merge(cell[i], bucket[i/siz]); } if(cell[i] == pii(0, k)){ ans++; } } cout << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; #define int long long #define all(v) (v).begin(), (v).end() #define reps(i, m, n) for(int i = (int)(m); i < (int)(n); i++) #define rep(i, n) reps(i, 0, n) template<class T1, class T2> void chmin(T1 &a, T2 b){if(a>b)a=b;} template<class T1, class T2> void chmax(T1 &a, T2 b){if(a<b)a=b;} typedef pair<int, int> Pi; typedef tuple<int, int, int> Ti; typedef vector<int> vint; const int inf = 1LL << 55; const int mod = 1e9 + 7; struct SegmentTree { vector<Pi> data; vector<Pi> lazy; int sz; SegmentTree(int n) { sz = 1; while(sz < n) sz <<= 1; data.resize(2*sz-1, Pi(0, 0)); lazy.resize(2*sz-1, Pi(0, 0)); } void merge(Pi& p, Pi q) { //cout<<p.second<<" "<<q.first<<endl; if(p.second == q.first-1) { if(p.first == 0) p = q; else p.second = q.second; } else { p = Pi(-1, -1); } } void merge2(Pi& p, Pi q) { if(p.first == 0) p = q; else if(p.second == q.first-1) p.second = q.second; else p = Pi(-1, -1); } void push(int k, int l, int r) { if(lazy[k].first) { merge(data[k], lazy[k]); if(r - l > 1) { merge2(lazy[2*k+1], lazy[k]); merge2(lazy[2*k+2], lazy[k]); } if(lazy[k].first != -1) lazy[k] = Pi(0, 0); } } void update(int a, int b, int x, int k, int l, int r, bool flag) { push(k, l, r); if(r <= a || b <= l) return; if(a <= l && r <= b) { //cout<<a<<" "<<b<<" "<<x<<" "<<l<<" "<<r<<endl; if(flag) merge2(lazy[k], Pi(x, x)); push(k, l, r); return; } update(a, b, x, 2*k+1, l, (l+r)/2, flag); update(a, b, x, 2*k+2, (l+r)/2, r, flag); } void update(int a, int b, int x, bool flag = true) { update(a, b, x, 0, 0, sz, flag); } int query(int a, int b, int x, int k, int l, int r) { push(k, l, r); if(r <= a || b <= l) return 0; if(a <= l && r <= b) return data[k].first == 1 && data[k].second == x; return query(a, b, x, 2*k+1, l, (l+r)/2) + query(a, b, x, 2*k+2, (l+r)/2, r); } int query(int a, int b, int x) { return query(a, b, x, 0, 0, sz); } }; signed main() { cin.tie(0); ios_base::sync_with_stdio(0); cout << fixed << setprecision(12); int N, K, T; cin >> N >> K >> T; SegmentTree seg(N); rep(i, T) { int l, r, x; cin >> l >> r >> x; --l; seg.update(l, r, x); } int ans = 0; rep(i, N) { ans += seg.query(i, i+1, K); } cout << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int N,K,T; const int B = 512; int from[200010/B+1], to[200010/B+1]; int val[200010/B*B+B]; void sync(int b){ if(from[b] == -1) return; for(int i = b*B; i < (b+1)*B; ++i){ if(val[i] == from[b]){ val[i] = to[b]; } else { val[i] = -2; } } from[b] = -1; to[b] = -1; } void naive(int l, int r, int x){ for(int i = l; i < r; ++i){ val[i] = (val[i] == x-1) ? x : -2; } } void block(int l, int r, int x){ //assert(l%B == 0 && r%B == 0); l /= B; r /= B; while(l < r){ if(to[l] != -1){ to[l] = (to[l] == x-1) ? x : -2; } else { from[l] = x-1; to[l] = x; } ++l; } } void exec(int l, int r, int x){ if(l/B == r/B){ sync(l/B); naive(l,r,x); } else { if(l%B){ sync(l/B); naive(l, l-l%B+B, x); l = l-l%B+B; } if(r%B){ sync(r/B); naive(r-r%B, r, x); r = r-r%B; } block(l,r,x); } } int main(){ cin.tie(0); ios::sync_with_stdio(0); cin >> N >> K; cin >> T; memset(from, -1, sizeof from); memset(to, -1, sizeof to); while(N%B) ++N; for(int it = 0; it < T; ++it){ int l,r,x; cin >> l >> r >> x; --l; exec(l,r,x); } for(int i = 0; i < N/B; ++i){ sync(i); } cout << count(val, val+N, K) << endl; }
#include<cstdio> #include<algorithm> using namespace std; #define MAXN 200010 #define INF 1000000000 struct node { int l,r,mx,mn,tg; }t[MAXN*4]; int cnt,n,k,rt,tm,ans; void Build(int &i,int l,int r) { if(i==0) i=++cnt; if(l==r) { t[i].l=t[i].r=t[i].mx=t[i].mn=t[i].tg=0; return; } int mid=(l+r)>>1; Build(t[i].l,l,mid); Build(t[i].r,mid+1,r); } void PushDown(int i) { if(t[i].tg) { int l=t[i].l,r=t[i].r,c=t[i].tg; if(l) t[l].tg+=c,t[l].mx+=c,t[l].mn+=c; if(r) t[r].tg+=c,t[r].mx+=c,t[r].mn+=c; t[i].tg=0; } } void PushUp(int i) { t[i].mx=max(t[t[i].l].mx,t[t[i].r].mx); t[i].mn=min(t[t[i].l].mn,t[t[i].r].mn); } void Solve(int &i,int l,int r,int x) { if(i==0) return; if(t[i].mn==x-1&&t[i].mx==x-1) { t[i].tg++;t[i].mx++,t[i].mn++; return; } if(t[i].mn>=x&&t[i].mx<x-1) { i=0; return; } PushDown(i); int mid=(l+r)>>1; Solve(t[i].l,l,mid,x); Solve(t[i].r,mid+1,r,x); PushUp(i); if(t[i].l==0&&t[i].r==0) i=0; } void Modify(int &i,int l,int r,int L,int R,int x) { if(i==0) return; if(L<=l&&r<=R) { Solve(i,l,r,x); return; } PushDown(i); int mid=(l+r)>>1; if(L<=mid) Modify(t[i].l,l,mid,L,R,x); if(R>mid) Modify(t[i].r,mid+1,r,L,R,x); PushUp(i); if(t[i].l==0&&t[i].r==0) i=0; } void dfs(int i,int l,int r) { if(i==0||t[i].mx<k) return; if(l==r) { if(t[i].mx==k) ans++; return; } PushDown(i); int mid=(l+r)>>1; dfs(t[i].l,l,mid); dfs(t[i].r,mid+1,r); } int main() { t[0].mx=-INF; t[0].mn=INF; t[0].l=t[0].r=t[0].tg=0; scanf("%d%d%d",&n,&k,&tm); Build(rt,1,n); int l,r,x; while(tm--) { scanf("%d%d%d",&l,&r,&x); Modify(rt,1,n,l,r,x); } dfs(rt,1,n); printf("%d\n",ans); }
#include<cstdio> #include<cstdlib> #include<algorithm> using namespace std; typedef unsigned int uint; inline char nc(){ static char buf[100000],*p1=buf,*p2=buf; return p1==p2&&(p2=(p1=buf)+fread(buf,1,100000,stdin),p1==p2)?EOF:*p1++; } inline void read(int &x){ char c=nc(),b=1; for (;!(c>='0' && c<='9');c=nc()) if (c=='-') b=-1; for (x=0;c>='0' && c<='9';x=x*10+c-'0',c=nc()); x*=b; } const int N=200005; const uint seed=233333; struct abcd{ uint a,b; abcd(uint a=1,uint b=0):a(a),b(b) { } bool one() { return a==1 && b==0; } void add(abcd B){ uint _a=a,_b=b; a=B.a*_a; b=B.a*_b+B.b; } }T[N<<2]; inline void modify(int x,int l,int r,int ql,int qr,abcd t){ if (ql<=l && r<=qr){ T[x].add(t); return; } if (!T[x].one()) T[x<<1].add(T[x]),T[x<<1|1].add(T[x]),T[x]=abcd(); int mid=(l+r)>>1; if (ql<=mid) modify(x<<1,l,mid,ql,qr,t); if (qr>mid) modify(x<<1|1,mid+1,r,ql,qr,t); } uint Hash[N]; inline void query(int x,int l,int r){ if (l==r){ Hash[l]=T[x].b; return; } if (!T[x].one()) T[x<<1].add(T[x]),T[x<<1|1].add(T[x]),T[x]=abcd(); int mid=(l+r)>>1; query(x<<1,l,mid); query(x<<1|1,mid+1,r); } int n,K; int main(){ int T,l,r,x; read(n); read(K); read(T); while (T--){ read(l); read(r); read(x); modify(1,1,n,l,r,abcd(seed,x)); } query(1,1,n); uint h=0; for (int i=1;i<=K;i++) h=h*seed+i; int ans=0; for (int i=1;i<=n;i++) if (Hash[i]==h) ans++; printf("%d\n",ans); return 0; }
#include <iostream> #include <vector> #include <set> void solve() { int n, k, t; std::cin >> n >> k >> t; std::vector<std::vector<int>> ls(n), rs(n); std::vector<int> xs(t + 2); xs[0] = 0; for (int i = 1; i <= t; ++i) { int l, r; std::cin >> l >> r >> xs[i]; ls[--l].push_back(i); rs[--r].push_back(i); } xs[t + 1] = k + 1; std::set<int> ts{0, t + 1}; int out = 1, ans = 0; for (int i = 0; i < n; ++i) { for (auto x : ls[i]) { auto it = ts.lower_bound(x); int nxt = *it; --it; int prev = *it; if (xs[nxt] - xs[prev] != 1) --out; if (xs[x] - xs[prev] != 1) ++out; if (xs[nxt] - xs[x] != 1) ++out; ts.insert(x); } if (out == 0) ++ans; for (auto x : rs[i]) { ts.erase(x); auto it = ts.lower_bound(x); int nxt = *it; --it; int prev = *it; if (xs[x] - xs[prev] != 1) --out; if (xs[nxt] - xs[x] != 1) --out; if (xs[nxt] - xs[prev] != 1) ++out; } } std::cout << ans << std::endl; } int main() { std::cin.tie(nullptr); std::cout.tie(nullptr); std::ios::sync_with_stdio(false); solve(); return 0; }
#include <bits/stdc++.h> using namespace std; int N,K,T; const int B = 500; int from[200010/B+1], to[200010/B+1]; int val[200010/B*B+B]; void sync(int b){ if(from[b] == -1) return; for(int i = b*B; i < (b+1)*B; ++i){ if(val[i] == from[b]){ val[i] = to[b]; } else { val[i] = -2; } } from[b] = -1; to[b] = -1; } void naive(int l, int r, int x){ for(int i = l; i < r; ++i){ val[i] = (val[i] == x-1) ? x : -2; } } void block(int l, int r, int x){ //assert(l%B == 0 && r%B == 0); l /= B; r /= B; while(l < r){ if(to[l] != -1){ to[l] = (to[l] == x-1) ? x : -2; } else { from[l] = x-1; to[l] = x; } ++l; } } void exec(int l, int r, int x){ if(l/B == r/B){ sync(l/B); naive(l,r,x); } else { if(l%B){ sync(l/B); naive(l, l-l%B+B, x); l = l-l%B+B; } if(r%B){ sync(r/B); naive(r-r%B, r, x); r = r-r%B; } block(l,r,x); } } int main(){ cin.tie(0); ios::sync_with_stdio(0); cin >> N >> K; cin >> T; memset(from, -1, sizeof from); memset(to, -1, sizeof to); while(N%B) ++N; for(int it = 0; it < T; ++it){ int l,r,x; cin >> l >> r >> x; --l; exec(l,r,x); } for(int i = 0; i < N/B; ++i){ sync(i); } cout << count(val, val+N, K) << endl; }
#include <iostream> #include <vector> #include <map> #include <set> #include <queue> #include <string> #include <iomanip> #include <algorithm> #include <cmath> #include <stdio.h> using namespace std; #define int long long int MOD = 1000000007; vector<int> sieve_of_eratosthenes(int n) { vector<int> primes(n); for (int i = 2; i < n; ++i) primes[i] = i; for (int i = 2; i*i < n; ++i) if (primes[i]) for (int j = i*i; j < n; j += i) primes[j] = 0; return primes; } signed main() { cin.tie(0); ios::sync_with_stdio(false); vector<int> primes = sieve_of_eratosthenes(1000005); int N; cin >> N; vector<int> A(N); int res = 0; for (int i = 0; i < N; i++) { cin >> A[i]; } vector<int> B; vector<int> C; bool f1, f2, f3; for (int i = 0; i < N; i++) { if (i > 0) { f1 = (primes[A[i - 1]] != 0); } else { f1 = false; } f2 = (primes[A[i]] != 0); if (i < N - 1) { f3 = (primes[A[i + 1]] != 0); } else { f3 = true; } if (!f2 && !f3) { cout << 0 << endl; return 0; } if (!f1 && !f2) { cout << 0 << endl; return 0; } if (f2) { if (!f1) { B.push_back(A[i]); C.push_back(1); } else if (!f3) { B.push_back(A[i]); C.push_back(1); } else { B.push_back(A[i]); C.push_back(0); } } } /*for (int i = 0; i < B.size(); i++) { cerr << B[i] << " "; } cerr << endl; for (int i = 0; i < C.size(); i++) { cerr << C[i] << " "; } cerr << endl;*/ vector<vector<int> > dp((int)B.size() + 1, vector<int>(3, 0)); dp[0][1] = 1; for (int i = 1; i < B.size(); i++) { //for (int k = 0; k < 3; k++) { if (C[i] == 0) { if (i > 0 && B[i] > B[i - 1]) { dp[i][1] = dp[i - 1][1]; } if (i <= 1 || B[i] > B[i - 2]) { dp[i][1] = (dp[i][1] + dp[i - 1][0]) % MOD; } dp[i][0] = (dp[i][0] + dp[i - 1][1]) % MOD; } else { if (i > 0 && B[i] > B[i - 1]) { dp[i][1] = dp[i - 1][1]; } if (i <= 1 || B[i] > B[i - 2]) { dp[i][1] = (dp[i][1] + dp[i - 1][0]) % MOD; } dp[i][0] = 0; } //} } /*for (int i = 0; i < dp.size(); i++) { cerr << dp[i][0] << " "; } cerr << endl; for (int i = 0; i < dp.size(); i++) { cerr << dp[i][1] << " "; } cerr << endl;*/ cout << (dp[B.size() - 1][0] + dp[B.size() - 1][1])%MOD << endl; }
#include "iostream" #include "climits" #include "list" #include "queue" #include "stack" #include "set" #include "functional" #include "algorithm" #include "string" #include "map" #include "unordered_map" #include "unordered_set" #include "iomanip" #include "cmath" #include "random" #include "bitset" #include "cstdio" using namespace std; const long long int MOD = 1000000007; long long int N, M, K, H, W, L, R; list<int> Prime(int num) { list<int>P; for (int i = 5; i <= num; i += 6) { bool flag = true; for (auto j : P) { if (j*j > i) { break; } if (i%j == 0) { flag = false; break; } } if (flag)P.push_back(i); flag = true; for (auto j : P) { if (j*j > i + 2) { break; } if ((i + 2) % j == 0) { flag = false; break; } } if (flag)P.push_back(i + 2); } P.push_front(3); P.push_front(2); return P; } int main() { ios::sync_with_stdio(false); cin.tie(0); list<int>P = Prime(1000000); vector<bool>flag(1000001); for (auto i : P) { if (i > 1000000) { break; } flag[i] = true; } cin >> N; vector<int>v(N + 4); v[0] = 0; v[N + 1] = MOD; for (int i = 1; i <= N; i++) { cin >> v[i]; } vector<long long int>dp(N + 4); dp[0] = 1; for (int i = 0; i <= N; i++) { if (!i){ if (flag[v[1]]) { dp[1] = 1; } continue; } if (v[i] < v[i + 1]) { if (v[i + 1] == MOD || flag[v[i + 1]]) { dp[i + 1] += dp[i]; dp[i + 1] %= MOD; } } if (v[i] < v[i + 2]) { if (v[i + 2] == MOD || flag[v[i + 2]]) { dp[i + 2] += dp[i]; dp[i + 2] %= MOD; } } } cout << dp[N + 1] << endl; return 0; }
#include "bits/stdc++.h" using namespace std; typedef long long ll; typedef pair<int, int> pii; typedef pair<ll, ll> pll; const int INF = 1e9; const ll LINF = 1e18; template<class S,class T> ostream& operator << (ostream& out,const pair<S,T>& o){ out << "(" << o.first << "," << o.second << ")"; return out; } template<class T> ostream& operator << (ostream& out,const vector<T> V){ for(int i = 0; i < V.size(); i++){ out << V[i]; if(i!=V.size()-1) out << " ";} return out; } template<class T> ostream& operator << (ostream& out,const vector<vector<T> > Mat){ for(int i = 0; i < Mat.size(); i++) { if(i != 0) out << endl; out << Mat[i];} return out; } template<class S,class T> ostream& operator << (ostream& out,const map<S,T> mp){ out << "{ "; for(auto it = mp.begin(); it != mp.end(); it++){ out << it->first << ":" << it->second; if(mp.size()-1 != distance(mp.begin(),it)) out << ", "; } out << " }"; return out; } /* <url:https://onlinejudge.u-aizu.ac.jp/services/room.html#RitsCamp18Day3/problems/D> 問題文============================================================ えびちゃんは素因数分解マシンの不良品を持っています。 この機械は、2 以上の自然数 M を与えると O(logM) でその素因数分解を行ってくれますが、 困ったことに数字以外を表示できないバグがありました。 一般に、M の素因数分解が p1e1×p2e2×…×pKeK (ただし i<j ならば pi<pj、また各 pi は素数) の場合を考えます。 M を与えると、この機械は i=1 から順に以下のように出力を行います。全ての数字はスペース区切りで表示されます。 ei=1 ならば pi を出力する ei>1 ならば pi ei を出力する たとえば、22 や 2048 を与えると 2 11 と表示され、24 や 54 を与えると 2 3 3 と表示されます。 さて、えびちゃんは表示された素因数分解をメモしておいたのですが、 与えた自然数をメモしておくのを忘れていたことに気づきました。 素因数分解のメモが与えられるので、元の自然数としてありえるものがいくつあるかを求めてください。 ただし、メモが間違っていて、条件を満たす自然数が一つも存在しないこともあります。 また、その個数は非常に大きくなる場合があるので、109+7 (素数) で割ったあまりを出力してください。 ================================================================= 解説============================================================= x y z と素数(x<y<z)が並んでいるとすると 直接zに繋がる遷移としては y^1 z x^y z の二通りが考えられる ここで dp[i] := i番目にある素数を見たときの場合の数とすると q[i] is prime という条件のもとで if q[i+1] is prime && q[i] < q[i+1] then dp[i+1] += dp[i] ( x^y ) if q[i+2] is prime && q[i] < q[i+2] then dp[i+2] += dp[i] ( x^y z ) と遷移できる 出力は dp[N-1] + dp[N-2] ( y^1 z のパターン と x^y z のパターン) ================================================================ */ #define MAX_N 1000005 bool is_prime[MAX_N]; const ll MOD = 1e9+7; bool IsPrime(int num) { if (num < 2) return false; else if (num == 2) return true; else if (num % 2 == 0) return false; // 偶数はあらかじめ除く double sqrtNum = sqrt(num); for (int i = 3; i <= sqrtNum; i += 2){ if (num % i == 0){ return false; } } return true; } void init(){ for(int i = 1; i < MAX_N;i++){ is_prime[i] = IsPrime(i); } } ll solve(){ ll N; cin >> N; vector<ll> q(N); for(auto& in:q)cin >> in; if(!is_prime[q[0]]) return 0; if(N == 1) return 1; int cnt = 0; for(int i = 0; i < N;i++){ if(!is_prime[q[i]]) cnt++; else cnt = 0; if(cnt == 2) return 0; } vector<ll> dp(N+1,0); dp[0] = 1; for(int i = 0; i < N;i++){ if(is_prime[q[i]]){ if( i+1 < N && is_prime[q[i+1]] && (q[i] < q[i+1])){ (dp[i+1] += dp[i])%=MOD; } if( i+2 < N && is_prime[q[i+2]] && (q[i] < q[i+2])){ (dp[i+2] += dp[i])%=MOD; } } } return (dp[N-1]+dp[N-2])%MOD; } int main(void) { cin.tie(0); ios::sync_with_stdio(false); init(); cout << solve() << endl; return 0; }
#include "bits/stdc++.h" using namespace std; typedef long long ll; typedef pair<int, int> pii; typedef pair<ll, ll> pll; const int INF = 1e9; const ll LINF = 1e18; template<class S,class T> ostream& operator << (ostream& out,const pair<S,T>& o){ out << "(" << o.first << "," << o.second << ")"; return out; } template<class T> ostream& operator << (ostream& out,const vector<T> V){ for(int i = 0; i < V.size(); i++){ out << V[i]; if(i!=V.size()-1) out << " ";} return out; } template<class T> ostream& operator << (ostream& out,const vector<vector<T> > Mat){ for(int i = 0; i < Mat.size(); i++) { if(i != 0) out << endl; out << Mat[i];} return out; } template<class S,class T> ostream& operator << (ostream& out,const map<S,T> mp){ out << "{ "; for(auto it = mp.begin(); it != mp.end(); it++){ out << it->first << ":" << it->second; if(mp.size()-1 != distance(mp.begin(),it)) out << ", "; } out << " }"; return out; } /* <url:https://onlinejudge.u-aizu.ac.jp/services/room.html#RitsCamp18Day3/problems/D> 問題文============================================================ えびちゃんは素因数分解マシンの不良品を持っています。 この機械は、2 以上の自然数 M を与えると O(logM) でその素因数分解を行ってくれますが、 困ったことに数字以外を表示できないバグがありました。 一般に、M の素因数分解が p1e1×p2e2×…×pKeK (ただし i<j ならば pi<pj、また各 pi は素数) の場合を考えます。 M を与えると、この機械は i=1 から順に以下のように出力を行います。全ての数字はスペース区切りで表示されます。 ei=1 ならば pi を出力する ei>1 ならば pi ei を出力する たとえば、22 や 2048 を与えると 2 11 と表示され、24 や 54 を与えると 2 3 3 と表示されます。 さて、えびちゃんは表示された素因数分解をメモしておいたのですが、 与えた自然数をメモしておくのを忘れていたことに気づきました。 素因数分解のメモが与えられるので、元の自然数としてありえるものがいくつあるかを求めてください。 ただし、メモが間違っていて、条件を満たす自然数が一つも存在しないこともあります。 また、その個数は非常に大きくなる場合があるので、109+7 (素数) で割ったあまりを出力してください。 ================================================================= 解説============================================================= ================================================================ */ #define MAX_N 1000005 bool is_prime[MAX_N]; const ll MOD = 1e9+7; bool IsPrime(int num) { if (num < 2) return false; else if (num == 2) return true; else if (num % 2 == 0) return false; // 偶数はあらかじめ除く double sqrtNum = sqrt(num); for (int i = 3; i <= sqrtNum; i += 2){ if (num % i == 0){ return false; } } return true; } void init(){ for(int i = 1; i < MAX_N;i++){ is_prime[i] = IsPrime(i); } } ll solve(){ ll N; cin >> N; vector<ll> q(N); for(auto& in:q)cin >> in; if(!is_prime[q[0]]) return 0; int cnt = 0; for(int i = 0; i < N;i++){ if(!is_prime[q[i]]) cnt++; else cnt = 0; if(cnt == 2) return 0; } vector<ll> dp(N+1,0); dp[0] = 1; for(int i = 0; i < N;i++){ if(is_prime[q[i]]){ if(i+1 == N || is_prime[q[i+1]] && (q[i] < q[i+1])){ (dp[i+1] += dp[i])%=MOD; } if(i+2 == N || is_prime[q[i+2]] && (q[i] < q[i+2])){ (dp[i+2] += dp[i])%=MOD; } } } return dp[N]%MOD; } int main(void) { cin.tie(0); ios::sync_with_stdio(false); init(); cout << solve() << endl; return 0; }
#include "bits/stdc++.h" using namespace std; typedef long long ll; typedef pair<int, int> pii; typedef pair<ll, ll> pll; const int INF = 1e9; const ll LINF = 1e18; template<class S,class T> ostream& operator << (ostream& out,const pair<S,T>& o){ out << "(" << o.first << "," << o.second << ")"; return out; } template<class T> ostream& operator << (ostream& out,const vector<T> V){ for(int i = 0; i < V.size(); i++){ out << V[i]; if(i!=V.size()-1) out << " ";} return out; } template<class T> ostream& operator << (ostream& out,const vector<vector<T> > Mat){ for(int i = 0; i < Mat.size(); i++) { if(i != 0) out << endl; out << Mat[i];} return out; } template<class S,class T> ostream& operator << (ostream& out,const map<S,T> mp){ out << "{ "; for(auto it = mp.begin(); it != mp.end(); it++){ out << it->first << ":" << it->second; if(mp.size()-1 != distance(mp.begin(),it)) out << ", "; } out << " }"; return out; } /* <url:https://onlinejudge.u-aizu.ac.jp/services/room.html#RitsCamp18Day3/problems/D> 問題文============================================================ えびちゃんは素因数分解マシンの不良品を持っています。 この機械は、2 以上の自然数 M を与えると O(logM) でその素因数分解を行ってくれますが、 困ったことに数字以外を表示できないバグがありました。 一般に、M の素因数分解が p1e1×p2e2×…×pKeK (ただし i<j ならば pi<pj、また各 pi は素数) の場合を考えます。 M を与えると、この機械は i=1 から順に以下のように出力を行います。全ての数字はスペース区切りで表示されます。 ei=1 ならば pi を出力する ei>1 ならば pi ei を出力する たとえば、22 や 2048 を与えると 2 11 と表示され、24 や 54 を与えると 2 3 3 と表示されます。 さて、えびちゃんは表示された素因数分解をメモしておいたのですが、 与えた自然数をメモしておくのを忘れていたことに気づきました。 素因数分解のメモが与えられるので、元の自然数としてありえるものがいくつあるかを求めてください。 ただし、メモが間違っていて、条件を満たす自然数が一つも存在しないこともあります。 また、その個数は非常に大きくなる場合があるので、109+7 (素数) で割ったあまりを出力してください。 ================================================================= 解説============================================================= ================================================================ */ #define MAX_N 1000005 bool is_prime[MAX_N]; const ll MOD = 1e9+7; bool IsPrime(int num) { if (num < 2) return false; else if (num == 2) return true; else if (num % 2 == 0) return false; // 偶数はあらかじめ除く double sqrtNum = sqrt(num); for (int i = 3; i <= sqrtNum; i += 2){ if (num % i == 0){ return false; } } return true; } void init(){ for(int i = 1; i < MAX_N;i++){ is_prime[i] = IsPrime(i); } } ll solve(){ ll N; cin >> N; vector<ll> q(N); for(auto& in:q)cin >> in; if(!is_prime[q[0]]) return 0; if(N == 1) return 1; int cnt = 0; for(int i = 0; i < N;i++){ if(!is_prime[q[i]]) cnt++; else cnt = 0; if(cnt == 2) return 0; } vector<ll> dp(N+1,0); dp[0] = 1; for(int i = 0; i < N;i++){ if(is_prime[q[i]]){ if( i+1 < N && is_prime[q[i+1]] && (q[i] < q[i+1])){ (dp[i+1] += dp[i])%=MOD; } if( i+2 < N && is_prime[q[i+2]] && (q[i] < q[i+2])){ (dp[i+2] += dp[i])%=MOD; } } } return (dp[N-1]+dp[N-2])%MOD; } int main(void) { cin.tie(0); ios::sync_with_stdio(false); init(); cout << solve() << endl; return 0; }
#include <bits/stdc++.h> #define int long long #define range(i, a, b) for(int i = (a); i < (b); i++) #define rep(i, a) range(i, 0, a) using namespace std; const int INF = sizeof(int) == sizeof(long long) ? 1e18 : 1e9; const int MOD = 1000000007; const long double EPS = 1e-8; int n; int q[100010]; int dp[100010][2]; bool b[100010]; signed main() { cin >> n; rep (i, n) { cin >> q[i]; b[i] = true; for (int j = 2; j * j <= q[i]; j++) b[i] = b[i] && (q[i] % j != 0 || q[i] == j); } rep (i, n) { // i 番目を q とする if (i == 0) { dp[i][0] = b[i]; continue; } if (b[i]) { if (q[i - 1] < q[i]) dp[i][0] = (dp[i][0] + dp[i - 1][0]) % MOD; if (i > 1 && q[i - 2] < q[i]) dp[i][0] = (dp[i][0] + dp[i - 1][1]) % MOD; } // i 番目を e とする dp[i][1] = (dp[i][1] + dp[i - 1][0]) % MOD; } cout << (dp[n - 1][0] + dp[n - 1][1]) % MOD << endl; //rep (i, n + 1) cout << dp[i][0] << " " << dp[i][1] << endl; return 0; }
#include <string> #include <vector> #include <iostream> #include <cmath> #include <algorithm> #include <map> #include <set> #define REP(i,n) for(int i=0;i<n;i++) #define LOOP(i,x,n) for(int i=x;i<n;i++) #define ALL(v) (v).begin(),(v).end() #define int long long using namespace std; const int MOD=1e9+7; const int INF=1e10; const int MAX_N = 1123456; bool isPrime[MAX_N]; void e(){ REP(i,MAX_N){ isPrime[i]=true; } isPrime[0]=isPrime[1]=false; REP(i,MAX_N){ if(isPrime[i]){ for(int j = i+i;j<MAX_N;j+=i){ isPrime[j]=false; } } } } bool Is_Prime(int n){ return isPrime[n]; } int dp[100005]; signed main(){ e(); int n; cin>>n; vector<int> q(n); REP(i,n)cin>>q[i]; if(Is_Prime(q[0]))dp[0]=1; REP(i,n){ //cout<<dp[i]<<endl; if(i+2<n&&q[i]<q[i+2]&&Is_Prime(q[i+2])){ dp[i+2]+=dp[i]; dp[i+2]%=MOD; } if(i+1<n&&q[i]<q[i+1]&&Is_Prime(q[i+1])){ dp[i+1]+=dp[i]; dp[i+1]%=MOD; } } cout<<(dp[n-1]+dp[n-2])%MOD<<endl; return 0; }
#include<bits/stdc++.h> using namespace std; const int M = 1000000007; int main() { int isp[1000010] = {}; for (int i = 2; i < 1000010; i++) isp[i] = 1; for (int i = 2; i * i < 1000010; i++) if (isp[i]) for (int j = i * i; j < 1000010; j += i) isp[j] = 0; int n; cin >> n; vector<int> a(n); for (int i = 0; i < n; ++i) { cin >> a[i]; } vector<vector<long long>> dp(n, vector<long long>(2)); dp[0][0] = isp[a[0]]; for (int i = 1; i < n; ++i) { if (a[i] > a[i - 1] && isp[a[i]]) { dp[i][0] = (dp[i][0] + dp[i - 1][0]) % M; } if (i > 1 && a[i] > a[i - 2] && isp[a[i]]) { dp[i][0] = (dp[i][0] + dp[i - 2][0]) % M; } dp[i][1] = dp[i - 1][0]; } cout << (dp[n - 1][0] + dp[n - 1][1]) % M << "\n"; return 0; }
#include <bits/stdc++.h> using namespace std; #define DBG cerr << '!' << endl; #define REP(i,n) for(ll (i) = (0);(i) < (n);++i) #define rep(i,s,g) for(ll (i) = (s);(i) < (g);++i) #define rrep(i,s,g) for(ll (i) = (s);i >= (g);--(i)) #define PB push_back #define MP make_pair #define FI first #define SE second #define SHOW1d(v,n) {for(int W = 0;W < (n);W++)cerr << v[W] << ' ';cerr << endl << endl;} #define SHOW2d(v,i,j) {for(int aaa = 0;aaa < i;aaa++){for(int bbb = 0;bbb < j;bbb++)cerr << v[aaa][bbb] << ' ';cerr << endl;}cerr << endl;} #define ALL(v) v.begin(),v.end() #define Decimal fixed<<setprecision(10) #define INF 1000000000 #define MOD 1000000007 typedef long long ll; typedef pair<ll,ll> P; bool isp[1111111]; ll dp[100010][2]; void era(){ isp[0] = isp[1] = true; for(int i = 2 ; i < 1000001;i++){ if(!isp[i]){ for(int j = 2*i;j < 1000001;j += i){ isp[j] = true; } } } } int main() { era(); //SHOW1d(isp,100); int n;cin >> n; vector<int> v(n); REP(i,n){ cin >> v[i]; } dp[0][0] = 1; for(int i = 0;i < n;i++){ for(int j = 0;j < 2;j++){ if(dp[i][j]){ if(j == 0){ if((i == 0 && !isp[v[i]]) ||(i > 1 && !isp[v[i]] && v[i] > v[i-2])){ dp[i+1][1] = (dp[i+1][1] + dp[i][0]) % MOD; } } else{ if(!isp[v[i]] && v[i] > v[i-1]){ dp[i+1][1] = (dp[i+1][1] + dp[i][j]) %MOD; } dp[i+1][0] = (dp[i+1][0] + dp[i][j]) % MOD; } } } } //REP(i,n+1)cout << dp[i][0] << ' ';cout << endl; //REP(i,n+1)cout << dp[i][1] << ' ';cout << endl; cout << (dp[n][0] + dp[n][1]) % MOD << endl; return 0; }
#include <bits/stdc++.h> #define REP(i, a, n) for(ll i = ((ll) a); i < ((ll) n); i++) using namespace std; typedef long long ll; const ll MOD = 1000000007LL; int main(void) { ll N; cin >> N; vector<ll> P(N); REP(i, 0, N) cin >> P[i]; const ll PMAX = 1000001; vector<bool> prime(PMAX, true); prime[1] = false; REP(i, 2, PMAX) if(prime[i]) for(ll j = i + i; j < PMAX; j += i) prime[j] = false; vector<ll> dp1(N, 0), dp2(N, 0); REP(i, 0, N) { if(i == 0) { if(prime[P[i]]) (dp1[i] += 1) %= MOD; } else if(i == 1) { if(prime[P[i]] && P[i - 1] < P[i]) (dp1[i] += dp1[i - 1]) %= MOD; if(prime[P[i - 1]]) (dp2[i] += 1) %= MOD; } else if(i == 2) { if(prime[P[i]] && P[i - 1] < P[i]) (dp1[i] += dp1[i - 1]) %= MOD; if(prime[P[i]] && P[i - 2] < P[i]) (dp1[i] += dp2[i - 1]) %= MOD; if(prime[P[i - 1]] && P[i - 2] < P[i - 1]) (dp2[i] += dp1[i - 2]) %= MOD; } else { if(prime[P[i]] && P[i - 1] < P[i]) (dp1[i] += dp1[i - 1]) %= MOD; if(prime[P[i]] && P[i - 2] < P[i]) (dp1[i] += dp2[i - 1]) %= MOD; if(prime[P[i - 1]] && P[i - 2] < P[i - 1]) (dp2[i] += dp1[i - 2]) %= MOD; if(prime[P[i - 1]] && P[i - 3] < P[i - 1]) (dp2[i] += dp2[i - 2]) %= MOD; } } cout << (dp1[N - 1] + dp2[N - 1]) % MOD << endl; }
#include <bits/stdc++.h> #define range(i, a, b) for(auto i = a; i < b; i++) #define rep(i, a) range(i, 0, a) using namespace std; const int INF = sizeof(int) == sizeof(long long) ? 1000000000000000000LL : 1000000000; const int MOD = 1000000007; const long double EPS = 1e-8; int n; long long q[1000010]; bool b[1000010]; long long memo[100010][2]; long long solve(int i = 0, int prevIsE = true) { int pear = 1, berry = 1; bool flaga = false, flagb = false; if (i == n) { return 1; } if (memo[i][prevIsE] != -1) { return memo[i][prevIsE]; } // cout << i << " " << b[q[i]] << " " << q[i - 1 - prevIsE] << " " << q[i] << endl; if (i != 0 && b[q[i]] && q[i - 1 - prevIsE] < q[i] || i == 0 && b[q[i]]) { // if (sosu[q[i]] && prevSosu < q[i]) { // cout << i << " is q" << endl; pear = pear * solve(i + 1, false) % MOD; flaga = true; } if (!prevIsE) { // cout << i << " is e" << endl; berry = berry * solve(i + 1, true) % MOD; flagb = true; } pear *= flaga; berry *= flagb; // cout << i << " " << pear + berry << endl; return memo[i][prevIsE] = (pear + berry) % MOD; } signed main() { cin >> n; rep (i, n) { cin >> q[i]; b[q[i]] = true; for (int j = 2; j * j <= q[i]; j++) b[q[i]] = b[q[i]] && (q[i] % j != 0); } rep (i, 100010) rep (j, 2) memo[i][j] = -1; cout << solve() << endl; return 0; }
// g++ -std=c++11 a.cpp #include<iostream> #include<vector> #include<string> #include<algorithm> #include<map> #include<set> #include<utility> #include<cmath> #include<random> #include<cstring> #include<queue> #include<stack> #include<bitset> #include<cstdio> #include<sstream> #include<iomanip> #include<assert.h> #include<typeinfo> #define loop(i,a,b) for(int i=a;i<b;i++) #define rep(i,a) loop(i,0,a) #define pb push_back #define all(in) in.begin(),in.end() #define shosu(x) fixed<<setprecision(x) using namespace std; //kaewasuretyuui typedef long long ll; //#define int ll typedef int Def; typedef pair<Def,Def> pii; typedef vector<Def> vi; typedef vector<vi> vvi; typedef vector<pii> vp; typedef vector<vp> vvp; typedef vector<string> vs; typedef vector<double> vd; typedef vector<vd> vvd; typedef pair<Def,pii> pip; typedef vector<pip>vip; #define mt make_tuple typedef tuple<int,int,int> tp; typedef vector<tp> vt; template<typename A,typename B>bool cmin(A &a,const B &b){return a>b?(a=b,true):false;} template<typename A,typename B>bool cmax(A &a,const B &b){return a<b?(a=b,true):false;} //template<class C>constexpr int size(const C &c){return (int)c.size();} //template<class T,size_t N> constexpr int size(const T (&xs)[N])noexcept{return (int)N;} const double PI=acos(-1); const double EPS=1e-7; Def inf = sizeof(Def) == sizeof(long long) ? 2e18 : 1e9+10; int dx[]={0,1,0,-1}; int dy[]={1,0,-1,0}; #define MAX 1000100 int MOD=1000000007; int sosu[MAX]={1,1,0}; vi sos; void init(){ for(int i=2;i*i<=MAX;i++)if(!sosu[i]) for(int j=i*2;j<MAX;j+=i)sosu[j]=true; rep(i,MAX)if(sosu[i]==0)sos.pb(i); } int main(){ init(); int n; cin>>n; vi in(n+1,inf); rep(i,n)cin>>in[i]; if(n==1){ cout<<!sosu[in[0]]<<endl; return 0; } vi dp(n+1); dp[n]=1; if(!sosu[in[n-1]])dp[n-1]=1; for(int i=n-2;i>=0;i--)if(!sosu[in[i]]){ if(in[i]<in[i+1])(dp[i]+=dp[i+1])%=MOD; if(in[i]<in[i+2])(dp[i]+=dp[i+2])%=MOD; } cout<<dp[0]<<endl; }
#include<iostream> #include<utility> using namespace std; #define rep(i, n) for (int i = 0; i < (int)(n); i++) constexpr int Q_MAX = 1000006; bool is_prime[Q_MAX]; void init() { rep(i, Q_MAX) is_prime[i] = true; is_prime[0] = is_prime[1] = false; rep(i, Q_MAX) if (i >= 2) { if (is_prime[i]) { for (int j = i * 2; j < Q_MAX; j += i) is_prime[j] = false; } } } int n,a[1<<17]; long long dp[1<<17]; long long mod=1e9+7; int main() { cin>>n; for(int i=0;i<n;i++) { cin>>a[i]; } init(); if(n==1) { cout<<is_prime[a[0]]<<endl; return 0; } dp[0]=is_prime[a[0]]; for(int i=0;i<n;i++) { if(!is_prime[a[i]])continue; if(is_prime[a[i+2]]&&a[i+2]>a[i])dp[i+2]=(dp[i+2]+dp[i])%mod; if(is_prime[a[i+1]]&&a[i+1]>a[i])dp[i+1]=(dp[i+1]+dp[i])%mod; } cout<<((dp[n-1]+dp[n-2])%mod)<<endl; return 0; }
#include <bits/stdc++.h> using namespace std; #define int long long #define all(v) (v).begin(), (v).end() #define resz(v, ...) (v).clear(), (v).resize(__VA_ARGS__) #define reps(i, m, n) for(int i = (int)(m); i < (int)(n); i++) #define rep(i, n) reps(i, 0, n) template<class T1, class T2> void chmin(T1 &a, T2 b){if(a>b)a=b;} template<class T1, class T2> void chmax(T1 &a, T2 b){if(a<b)a=b;} using Pi = pair<int, int>; using Tapris = tuple<int, int, int>; using vint = vector<int>; const int inf = 1LL << 55; const int mod = 1e9 + 7; void enum_prime(int N, vector<bool>& is_p) { is_p.resize(N+1, true); is_p[0] = is_p[1] = false; for(int i = 2; i*i <= N; i++) { if(!is_p[i]) continue; for(int j = i+i; j <= N; j+=i) is_p[j] = false; } } signed main() { cin.tie(0); ios_base::sync_with_stdio(0); cout << fixed << setprecision(12); const int MAX_Q = 1000000; vector<bool> is_p; enum_prime(MAX_Q, is_p); int n; cin >> n; vint q(n); rep(i, n) cin >> q[i]; if(!is_p[q[0]]) { cout << 0 << endl; return 0; } vector<vint> dp(2, vint(n+1, 0)); dp[0][0] = 1; dp[1][0] = 0; reps(i, 1, n) { if(is_p[q[i]]) { if(q[i-1] < q[i]) (dp[0][i] += dp[0][i-1]) %= mod; if(i>1&&q[i-2] < q[i]) (dp[0][i] += dp[1][i-1]) %= mod; } (dp[1][i] += dp[0][i-1]) %= mod; } cout << (dp[0][n-1]+dp[1][n-1])%mod << endl; return 0; }
#include <bits/stdc++.h> using namespace std; typedef long long ll; typedef unsigned long long ull; typedef pair<ll, ll> P; #define fi first #define se second #define repl(i,a,b) for(ll i=(ll)(a);i<(ll)(b);i++) #define rep(i,n) repl(i,0,n) #define all(x) (x).begin(),(x).end() #define dbg(x) cout<<#x"="<<x<<endl #define mmax(x,y) (x>y?x:y) #define mmin(x,y) (x<y?x:y) #define maxch(x,y) x=mmax(x,y) #define minch(x,y) x=mmin(x,y) #define uni(x) x.erase(unique(all(x)),x.end()) #define exist(x,y) (find(all(x),y)!=x.end()) #define bcnt __builtin_popcount #define INF 1e16 #define mod 1000000007 ll n; ll a[101010]; bool is_prime[1000001]; ll dp[100001][2]; int main(){ repl(i,2,1000001)is_prime[i]=true; for(ll i=2;i<=1000000;i++){ if(!is_prime[i])continue; for(ll j=i*2;j<=1000000;j+=i){ is_prime[j]=false; } } cin>>n; rep(i,n)cin>>a[i]; if(!is_prime[a[0]]){ cout<<0<<endl; return 0; } dp[1][0]=1; repl(i,1,n){ rep(j,2){ if(j){ if(is_prime[a[i]]&&a[i-2]<a[i]){ (dp[i+1][0]+=dp[i][j])%=mod; } }else{ if(is_prime[a[i]]&&a[i-1]<a[i]){ (dp[i+1][0]+=dp[i][j])%=mod; (dp[i+1][1]+=dp[i][j])%=mod; }else{ (dp[i+1][1]+=dp[i][j])%=mod; } } } } cout<<(dp[n][0]+dp[n][1])%mod<<endl; return 0; }
#include <bits/stdc++.h> using namespace std; using ll = long long; #define rep(i,n) for(int (i)=0;(i)<(int)(n);++(i)) #define all(x) (x).begin(),(x).end() #define pb push_back #define fi first #define se second #define dbg(x) cout<<#x" = "<<((x))<<endl template<class T,class U> ostream& operator<<(ostream& o, const pair<T,U> &p){o<<"("<<p.fi<<","<<p.se<<")";return o;} template<class T> ostream& operator<<(ostream& o, const vector<T> &v){o<<"[";for(T t:v){o<<t<<",";}o<<"]";return o;} const int N = 1001000; bool prime[N]; const ll mod = 1e9+7; int main(){ fill(prime,prime+N,true); prime[0] = prime[1] = false; for(int i=2; i<N; ++i){ if(prime[i]) for(int j=2*i; j<N; j+=i) prime[j] = false; } int n; cin >>n; vector<int> q(n); rep(i,n) cin >>q[i]; q.pb(1000999); vector<ll> dp(n+1); dp[0] = 1; rep(i,n)if(prime[q[i]]){ // 1個 if(i+1<=n && prime[q[i+1]] && q[i]<q[i+1]) (dp[i+1] += dp[i]) %= mod; // 2個 if(i+2<=n && prime[q[i+2]] && q[i]<q[i+2]) (dp[i+2] += dp[i]) %= mod; } cout << dp[n] << endl; return 0; }
#include <iostream> #include <vector> #include <algorithm> using namespace std; typedef long long int lli; const int MAX = 1e6+1; const lli mod = 1e9+7; int main(){ vector<bool> prime(MAX, true); prime[0] = prime[1] = false; for(int i=2; i*i<MAX; i++){ if(prime[i]){ for(int j=i*2; j<MAX; j+=i){ prime[j] = false; } } } int n; cin >> n; vector<int> q(n+1, 0); for(int i=1; i<=n; i++){ cin >> q[i]; } vector<vector<lli> > dp(n+1, vector<lli>(2, 0)); dp[0][0] = 1; for(int i=0; i<n; i++){ if(!prime[q[i+1]]) continue; for(int j=0; j<2; j++){ if(dp[i][j] != 0){ if(q[i-j] < q[i+1]){ dp[i+1][0] = (dp[i+1][0] +dp[i][j])%mod; if(i+2 <= n){ dp[i+2][1] = (dp[i+2][1] +dp[i][j])%mod; } } } } } cout << (dp[n][0] +dp[n][1])%mod << endl; return 0; }
#include <iostream> using namespace std; typedef long long ll; #define M 1000000007 int n,q[100005]; ll dp[2][100005]; bool s[1000005]; int main(void){ cin>>n; for(int i=0;i<n;i++)cin>>q[i]; for(int i=2;i<=1000;i++){ if(!s[i]){ for(int j=i*2;j<=1000000;j+=i)s[j]=true; } } if(!s[q[0]])dp[1][1]=1; for(int i=1;i<n;i++){ dp[0][i+1]=dp[1][i]; if(!s[q[i]]){ if(i>0&&q[i-1]<q[i])dp[1][i+1]=dp[1][i]; if(i>1&&q[i-2]<q[i])dp[1][i+1]=(dp[1][i+1]+dp[0][i])%M; } } cout<<(dp[0][n]+dp[1][n])%M<<endl; }
#include <bits/stdc++.h> using namespace std; using VI = vector<int>; using VVI = vector<VI>; using PII = pair<int, int>; using LL = long long; using VL = vector<LL>; using VVL = vector<VL>; using PLL = pair<LL, LL>; using VS = vector<string>; #define ALL(a) begin((a)),end((a)) #define RALL(a) (a).rbegin(), (a).rend() #define PB push_back #define EB emplace_back #define MP make_pair #define SZ(a) int((a).size()) #define SORT(c) sort(ALL((c))) #define RSORT(c) sort(RALL((c))) #define UNIQ(c) (c).erase(unique(ALL((c))), end((c))) #define FOR(i,a,b) for(int i=(a);i<(b);++i) #define REP(i,n) FOR(i,0,n) #define FF first #define SS second #define DUMP(x) cout<<#x<<":"<<(x)<<endl template<class S, class T> istream& operator>>(istream& is, pair<S,T>& p){ return is >> p.FF >> p.SS; } template<class T> istream& operator>>(istream& is, vector<T>& xs){ for(auto& x: xs) is >> x; return is; } template<class S, class T> ostream& operator<<(ostream& os, const pair<S,T>& p){ return os << p.FF << " " << p.SS; } template<class T> ostream& operator<<(ostream& os, const vector<T>& xs){ for(unsigned int i=0;i<xs.size();++i) os << (i?" ":"") << xs[i]; return os; } template<class T> void maxi(T& x, T y){ if(x < y) x = y; } template<class T> void mini(T& x, T y){ if(x > y) x = y; } const double EPS = 1e-10; const double PI = acos(-1.0); const LL MOD = 1e9+7; const int MAX = 1e6+10; bool isp[MAX]; LL dp[MAX]; int main(){ cin.tie(0); ios_base::sync_with_stdio(false); int N; cin >> N; VI xs(N); cin >> xs; fill(isp, isp+MAX, true); isp[0] = isp[1] = false; for(int i=2;i<MAX;++i) if(isp[i]) for(int j=i+i;j<MAX;j+=i) isp[j] = false; if(!isp[xs[0]]){ cout << 0 << endl; return 0; } if(N == 1){ cout << 1 << endl; return 0; } dp[0] = 1; for(int i=1;i<N;++i){ if(isp[xs[i]]){ if(isp[xs[i-1]] && xs[i-1] < xs[i]) (dp[i] += dp[i-1]) %= MOD; if(i>=2 && isp[xs[i-2]] && xs[i-2] < xs[i]) (dp[i] += dp[i-2]) %= MOD; } } LL ans = 0; if(isp[xs[N-1]]) ans += dp[N-1]; if(isp[xs[N-2]]) ans += dp[N-2]; cout << ans%MOD << endl; return 0; }
#include<bits/stdc++.h> #define int long long using namespace std; bool prime[1000009]; void era(){ prime[0]=1; prime[1]=1; for(int i=2;i<1000009;i++){ if(!prime[i]){ for(int j=i+i;j<1000009;j+=i) prime[j]=1; } } } int dp[100009][2]; signed main(){ era(); int n; cin>>n; int a[n]; for(int i=0;i<n;i++)cin>>a[i]; if(!prime[a[0]]){ dp[0][0]=1; dp[0][1]=1; } for(int i=0;i<n;i++){ // 1 if( i+1<n && a[i]<a[i+1] &&!prime[a[i+1]] )dp[i+1][0] += dp[i][0]; if( i+2<n && a[i]<a[i+1] &&!prime[a[i+1]] )dp[i+1][1] += dp[i][0]; // 2 if( i+2<n && a[i]<a[i+2] &&!prime[a[i+2]] )dp[i+2][0] += dp[i][1]; if( i+3<n && a[i]<a[i+2] &&!prime[a[i+2]] )dp[i+2][1] += dp[i][1]; dp[i+1][0]%=1000000007; dp[i+1][1]%=1000000007; dp[i+2][0]%=1000000007; dp[i+2][1]%=1000000007; } cout<<(dp[n-1][0]+dp[n-2][1])%1000000007<<endl; }
#include <bits/stdc++.h> using namespace std; using ll=long long; bool isprime(int num){ if(num<2)return false; else if(num==2)return true; else if(num % 2 == 0)return false; int sqrtnum=sqrt(num); for(int i=3;i<=sqrtnum;i+=2){ if(num%i==0){ return false; } } return true; } int main(){ int n; cin>>n; ll q[100001]={0}; for(int i=0;i<n;++i){ cin>>q[i]; } ll dp[100001]={0}; if(isprime(q[0]))dp[0]=1; if(isprime(q[1]))if(dp[0]==1 && q[0]<q[1])dp[1]=1; for(int i=2;i<n;++i){ if(!isprime(q[i]))continue; if(q[i-1]<q[i])dp[i]+=dp[i-1]; if(q[i-2]<q[i])dp[i]+=dp[i-2]; dp[i]%=1000000007; } if(n==1)cout<<dp[0]<<endl; else cout<<(dp[n-2]+dp[n-1])%1000000007<<endl; }
#include <bits/stdc++.h> using namespace std; vector< bool > get_prime(int n) { vector< bool > prime(n + 1, true); if(n >= 0) prime[0] = false; if(n >= 1) prime[1] = false; for(int i = 2; i * i <= n; i++) { if(prime[i]) { for(int j = i + i; j <= n; j += i) prime[j] = false; } } return (prime); } auto table = get_prime(1000000); const int mod = 1e9 + 7; int N, Q[100000]; int dp[100000]; int rec(int idx) { if(idx == N) return 1; if(~dp[idx]) return dp[idx]; if(!table[Q[idx]]) return dp[idx] = 0; int ret = 0; if(idx + 1 == N || Q[idx] < Q[idx + 1]) { (ret += rec(idx + 1)) %= mod; } if(idx + 1 < N) { if(Q[idx + 1] > 1) { if(idx + 2 == N || Q[idx] < Q[idx + 2]) { (ret += rec(idx + 2)) %= mod; } } } return dp[idx] = ret; } int main() { cin >> N; for(int i = 0; i < N; i++) { cin >> Q[i]; } memset(dp, -1, sizeof(dp)); cout << rec(0) << endl; }
// need #include <iostream> #include <algorithm> // data structure #include <bitset> #include <map> #include <queue> #include <set> #include <stack> #include <string> #include <utility> #include <vector> //#include <complex> //#include <deque> #include <valarray> // stream //#include <istream> //#include <sstream> //#include <ostream> #include <fstream> // etc #include <cassert> #include <cmath> #include <functional> #include <iomanip> #include <chrono> #include <random> #include <numeric> // input #define INIT std::ios::sync_with_stdio(false);std::cin.tie(0); #define VAR(type, ...)type __VA_ARGS__;MACRO_VAR_Scan(__VA_ARGS__); template<typename T> void MACRO_VAR_Scan(T& t) { std::cin >> t; } template<typename First, typename...Rest>void MACRO_VAR_Scan(First& first, Rest&...rest) { std::cin >> first; MACRO_VAR_Scan(rest...); } #define VEC_ROW(type, n, ...)std::vector<type> __VA_ARGS__;MACRO_VEC_ROW_Init(n, __VA_ARGS__); for(int i=0; i<n; ++i){MACRO_VEC_ROW_Scan(i, __VA_ARGS__);} template<typename T> void MACRO_VEC_ROW_Init(int n, T& t) { t.resize(n); } template<typename First, typename...Rest>void MACRO_VEC_ROW_Init(int n, First& first, Rest&...rest) { first.resize(n); MACRO_VEC_ROW_Init(n, rest...); } template<typename T> void MACRO_VEC_ROW_Scan(int p, T& t) { std::cin >> t[p]; } template<typename First, typename...Rest>void MACRO_VEC_ROW_Scan(int p, First& first, Rest&...rest) { std::cin >> first[p]; MACRO_VEC_ROW_Scan(p, rest...); } #define VEC(type, c, n) std::vector<type> c(n);for(auto& i:c)std::cin>>i; #define MAT(type, c, m, n) std::vector<std::vector<type>> c(m, std::vector<type>(n));for(auto& r:c)for(auto& i:r)std::cin>>i; // output #define OUT(d) std::cout<<(d); #define FOUT(n, d) std::cout<<std::fixed<<std::setprecision(n)<<(d); #define SOUT(n, c, d) std::cout<<std::setw(n)<<std::setfill(c)<<(d); #define SP std::cout<<" "; #define TAB std::cout<<"\t"; #define BR std::cout<<"\n"; #define SPBR(i, n) std::cout<<(i + 1 == n ? '\n' : ' '); #define ENDL std::cout<<std::endl; #define FLUSH std::cout<<std::flush; #define SHOW(d) {std::cerr << #d << "\t:" << (d) << "\n";} #define SHOWVECTOR(v) {std::cerr << #v << "\t:";for(const auto& xxx : v){std::cerr << xxx << " ";}std::cerr << "\n";} #define SHOWVECTOR2(v) {std::cerr << #v << "\t:\n";for(const auto& xxx : v){for(const auto& yyy : xxx){std::cerr << yyy << " ";}std::cerr << "\n";}} #define SHOWQUEUE(a) {auto tmp(a);std::cerr << #a << "\t:";while(!tmp.empty()){std::cerr << tmp.front() << " ";tmp.pop();}std::cerr << "\n";} // utility #define ALL(a) (a).begin(),(a).end() #define FOR(i, a, b) for(int i=(a);i<(b);++i) #define RFOR(i, a, b) for(int i=(b)-1;i>=(a);--i) #define REP(i, n) for(int i=0;i<int(n);++i) #define RREP(i, n) for(int i=int(n)-1;i>=0;--i) #define FORLL(i, a, b) for(ll i=ll(a);i<ll(b);++i) #define RFORLL(i, a, b) for(ll i=ll(b)-1;i>=ll(a);--i) #define REPLL(i, n) for(ll i=0;i<ll(n);++i) #define RREPLL(i, n) for(ll i=ll(n)-1;i>=0;--i) #define IN(a, x, b) (a<=x && x<b) template<typename T> inline T CHMAX(T& a, const T b) { return a = (a < b) ? b : a; } template<typename T> inline T CHMIN(T& a, const T b) { return a = (a > b) ? b : a; } #define EXCEPTION(msg) throw std::string("Exception : " msg " [ in ") + __func__ + " : " + std::to_string(__LINE__) + " lines ]" #define TRY(cond, msg) try {if (cond) EXCEPTION(msg);}catch (std::string s) {std::cerr << s << std::endl;} void CHECKTIME(std::function<void()> f) { auto start = std::chrono::system_clock::now(); f(); auto end = std::chrono::system_clock::now(); auto res = std::chrono::duration_cast<std::chrono::nanoseconds>((end - start)).count(); std::cerr << "[Time:" << res << "ns (" << res / (1.0e9) << "s)]\n"; } // test template<class T> std::vector<std::vector<T>> VV(int n, int m, T init = T()) { return std::vector<std::vector<T>>(n, std::vector<T>(m, init)); } template<typename S, typename T> std::ostream& operator<<(std::ostream& os, std::pair<S, T> p) { os << "(" << p.first << ", " << p.second << ")"; return os; } // type/const //#define int ll using ll = long long; using ull = unsigned long long; using ld = long double; using PAIR = std::pair<int, int>; using PAIRLL = std::pair<ll, ll>; constexpr int INFINT = 1 << 30; // 1.07x10^ 9 constexpr int INFINT_LIM = (1LL << 31) - 1; // 2.15x10^ 9 constexpr ll INFLL = 1LL << 60; // 1.15x10^18 constexpr ll INFLL_LIM = (1LL << 62) - 1 + (1LL << 62); // 9.22x10^18 constexpr double EPS = 1e-9; constexpr int MOD = 1000000007; constexpr double PI = 3.141592653589793238462643383279; template<class T, size_t N> void FILL(T(&a)[N], const T& val) { for (auto& x : a) x = val; } template<class ARY, size_t N, size_t M, class T> void FILL(ARY(&a)[N][M], const T& val) { for (auto& b : a) FILL(b, val); } template<class T> void FILL(std::vector<T>& a, const T& val) { for (auto& x : a) x = val; } template<class ARY, class T> void FILL(std::vector<std::vector<ARY>>& a, const T& val) { for (auto& b : a) FILL(b, val); } // ------------>8------------------------------------->8------------ std::vector<int> Eratosthenes(int n) { std::vector<int> num(n + 1, 0); num[0] = num[1] = -1; int cnt = 0; for (int i = 2; i*i < n; ++i) { if (num[i] == 0) { for (int j = 2; i*j <= n; ++j) { num[i*j] = -1; } num[i] = cnt++; } } return num; } int dp[2][2][78500]; // dp[i][j][k] = i%2番目までみてi番目を(j:p->0/e->1)として出てきた // 最大の素数がk番目の素数の場合の数 int solve(int n, std::vector<int> q) { auto p(Eratosthenes(1000001)); if (p[q[0]] == -1) return 0; dp[1][0][p[q[0]]] = 1; int mi = p[q[0]], ma = p[q[0]]; FOR(i, 1, n) { int nmi = INFINT, nma = -INFINT; REP(j, 2) { if (p[q[i]] == -1 && j == 1) continue; FOR(k, mi, ma + 1) { if (dp[i & 1][j][k] == 0) continue; if (p[q[i]] == -1) { // 素数じゃない (dp[1 - i % 2][1][k] += dp[i % 2][j][k]) %= MOD; CHMIN(nmi, k); CHMAX(nma, k); } else { // 素数 if (k >= p[q[i]]) { if (j == 0) { (dp[1 - i % 2][1][k] += dp[i % 2][j][k]) %= MOD; CHMIN(nmi, k); CHMAX(nma, k); } } else { if (j == 0) { (dp[1 - i % 2][1][k] += dp[i % 2][j][k]) %= MOD; CHMIN(nmi, k); CHMAX(nma, k); } (dp[1 - i % 2][0][p[q[i]]] += dp[i % 2][j][k]) %= MOD; CHMIN(nmi, p[q[i]]); CHMAX(nma, p[q[i]]); } } } } if (nmi > nma) return 0; mi = nmi; ma = nma; FILL(dp[i % 2], 0); } int ans = 0; REP(j, 2) REP(k, ma + 1) { (ans += dp[n % 2][j][k]) %= MOD; } return ans; }; int solve2(int n, std::vector<int> q) { auto p(Eratosthenes(2000001)); std::map<PAIR, ll> map; std::function<ll(int, int)> rec = [&](int i, int ma) { if (i == n) return 1LL; if (i > n) return 0LL; if (p[q[i]] == -1) return 0LL; if (ma >= q[i]) return 0LL; if (map.count(PAIR(i, ma))) return map[PAIR(i, ma)]; ll re = 0; (re += rec(i + 1, q[i])) %= MOD; (re += rec(i + 2, q[i])) %= MOD; return map[PAIR(i, ma)] = re; }; return rec(0, -1) % MOD; } signed main() { INIT; VAR(int, n); VEC(int, q, n); OUT(solve2(n, q))BR; return 0; }
#include <iostream> using namespace std; long long dp[100009], n, a[100009], mod = 1000000007; bool prime[1000009]; int main() { for (int i = 2; i <= 1000004; i++) prime[i] = true; for (int i = 2; i <= 1000; i++) { for (int j = i*i; j <= 1000000; j += i) prime[j] = false; } cin >> n; for (int i = 1; i <= n; i++) cin >> a[i]; if (prime[a[1]] == false) { cout << "0" << endl; return 0; } a[n + 1] = 1000003; dp[1] = 1; for (int i = 1; i <= n; i++) { if (a[i + 1] > a[i] && prime[a[i + 1]] == true) dp[i + 1] += dp[i]; if (a[i + 2] > a[i] && prime[a[i + 2]] == true) dp[i + 2] += dp[i]; dp[i + 1] %= mod; dp[i + 2] %= mod; } cout << dp[n + 1] << endl; return 0; }
#include<bits/stdc++.h> #define int long long using namespace std; bool prime[1000009]; void era(){ prime[0]=1; prime[1]=1; for(int i=2;i<1000009;i++){ if(!prime[i]){ for(int j=i+i;j<1000009;j+=i) prime[j]=1; } } } int dp[100009]; signed main(){ era(); int n; cin>>n; int a[n]; for(int i=0;i<n;i++)cin>>a[i]; if(!prime[a[0]])dp[0]=1; for(int i=0;i<n-1;i++){ if(!prime[a[i]]&&!prime[a[i+1]]&&a[i]<a[i+1])dp[i+1]+=dp[i]; if(i<n-2&&!prime[a[i]]&&!prime[a[i+2]]&&a[i]<a[i+2])dp[i+2]+=dp[i]; dp[i+1]%=1000000007; dp[i+2]%=1000000007; } cout<<(dp[n-1]+dp[n-2])%1000000007<<endl; }
#define __USE_MINGW_ANSI_STDIO 0 #include <bits/stdc++.h> using namespace std; using ll = long long; #define int ll using VI = vector<int>; using VVI = vector<VI>; using PII = pair<int, int>; #define FOR(i, a, n) for (ll i = (ll)a; i < (ll)n; ++i) #define REP(i, n) FOR(i, 0, n) #define ALL(x) x.begin(), x.end() #define PB push_back const ll LLINF = (1LL<<60); const int INF = (1LL<<30); const int MOD = 1000000007; template <typename T> T &chmin(T &a, const T &b) { return a = min(a, b); } template <typename T> T &chmax(T &a, const T &b) { return a = max(a, b); } template <typename T> bool IN(T a, T b, T x) { return a<=x&&x<b; } template<typename T> T ceil(T a, T b) { return a/b + !!(a%b); } template<class S,class T> ostream &operator <<(ostream& out,const pair<S,T>& a){ out<<'('<<a.first<<','<<a.second<<')'; return out; } template<class T> ostream &operator <<(ostream& out,const vector<T>& a){ out<<'['; REP(i, a.size()) {out<<a[i];if(i!=a.size()-1)out<<',';} out<<']'; return out; } int dx[] = {0, 1, 0, -1}, dy[] = {1, 0, -1, 0}; template<unsigned MOD> class ModInt { public: unsigned x; ModInt(): x(0) { } ModInt(signed y) : x(y >= 0 ? y % MOD : MOD - (-y) % MOD) {} unsigned get() const { return x; } // 逆数 ModInt inv() const { ll a = 1, p = x, e = MOD-2; while(e > 0) { if(e%2 == 0) {p = (p*p) % MOD; e /= 2;} else {a = (a*p) % MOD; e--;} } a %= MOD; return ModInt(a); } // e乗 ModInt pow(ll e) { ll a = 1, p = x; while(e > 0) { if(e%2 == 0) {p = (p*p) % MOD; e /= 2;} else {a = (a*p) % MOD; e--;} } a %= MOD; return ModInt(a); } // 2のx乗 ModInt pow2() { ll a = 1, p = 2, e = x; while(e > 0) { if(e%2 == 0) {p = (p*p) % MOD; e /= 2;} else {a = (a*p) % MOD; e--;} } a %= MOD; return ModInt(a); } // Comparators bool operator <(ModInt b) { return x < b.x; } bool operator >(ModInt b) { return x > b.x; } bool operator<=(ModInt b) { return x <= b.x; } bool operator>=(ModInt b) { return x >= b.x; } bool operator!=(ModInt b) { return x != b.x; } bool operator==(ModInt b) { return x == b.x; } // increment, decrement ModInt operator++() { x++; return *this; } ModInt operator--() { x--; return *this; } // Basic Operations ModInt &operator+=(ModInt that) { x = ((ll)x+that.x)%MOD; return *this; } ModInt &operator-=(ModInt that) { x = ((((ll)x-that.x)%MOD)+MOD)%MOD; return *this; } ModInt &operator*=(ModInt that) { x = (ll)x * that.x % MOD; return *this; } // O(log(mod))かかるので注意 ModInt &operator/=(ModInt that) { x = (ll)x * that.inv() % MOD; return *this; } ModInt &operator%=(ModInt that) { x = (ll)x % that.x; return *this; } ModInt operator+(ModInt that)const{return ModInt(*this) += that;} ModInt operator-(ModInt that)const{return ModInt(*this) -= that;} ModInt operator*(ModInt that)const{return ModInt(*this) *= that;} ModInt operator/(ModInt that)const{return ModInt(*this) /= that;} ModInt operator%(ModInt that)const{return ModInt(*this) %= that;} }; typedef ModInt<1000000007> mint; // Input/Output ostream &operator<<(ostream& os, mint a) { return os << a.x; } istream &operator>>(istream& is, mint &a) { return is >> a.x; } bool prime[1000010]; mint dp[100010][2]; signed main(void) { cin.tie(0); ios::sync_with_stdio(false); int n; cin >> n; VI q(n); REP(i, n) cin >> q[i]; memset(prime, true, sizeof(prime)); prime[0] = prime[1] = false; for (int i = 2; i * i <= 1000010; i++) { if (prime[i]) { for (int j = 2 * i; j <= 1000010; j += i) { prime[j] = false; } } } dp[0][1] = (prime[q[0]] ? 1 : 0); FOR(i, 1, n) { if(prime[q[i-1]]) dp[i][0] += dp[i-1][1]; if(prime[q[i]] && prime[q[i-1]] && q[i-1] < q[i]) dp[i][1] += dp[i-1][1]; if(i >= 2 && prime[q[i]] && prime[q[i-2]] && q[i-2] < q[i]) dp[i][1] += dp[i-1][0]; } cout << dp[n-1][0] + dp[n-1][1] << endl; return 0; }
#include <iostream> #include <fstream> #include <cstdio> #include <cmath> #include <vector> #include <cstring> #include <string> #include <set> #include <map> #include <stack> #include <queue> #include <deque> #include <algorithm> #include <array> #include <bitset> #include <assert.h> using namespace std; #define REP(i,n) for(int i=0; i<n; ++i) #define FOR(i,a,b) for(int i=a; i<=b; ++i) #define FORR(i,a,b) for (int i=a; i>=b; --i) #define ALL(c) (c).begin(), (c).end() typedef long long ll; typedef vector<int> VI; typedef vector<ll> VL; typedef vector<VI> VVI; typedef vector<VL> VVL; typedef pair<int,int> P; typedef pair<ll,ll> PL; int in() { int x; scanf("%d", &x); return x; } ll lin() { ll x; scanf("%lld", &x); return x; } bool isprime(int x){ for (int y = 2; y * y <= x; y++){ if (x % y == 0) return false; } return true; } const ll mod = 1e9 + 7; int main() { int n; cin >> n; VI a(n); REP(i,n) a[i] = in(); VI isp(n); REP(i,n) isp[i] = isprime(a[i]); VVI dp(n+2, VI(2)); if (isp[0]){ dp[1][0] = 1; dp[2][1] = 1; } FOR(i,1,n-1) REP(j,2){ if (!isp[i]) continue; if (a[i] <= a[i-j-1]) continue; dp[i+1][0] = (dp[i+1][0] + dp[i][j]) % mod; dp[i+2][1] = (dp[i+2][1] + dp[i][j]) % mod; } cout << (dp[n][0] + dp[n][1]) % mod << endl; return 0; }
#include <bits/stdc++.h> using namespace std; //#define int long long struct Fast {Fast(){std::cin.tie(0);ios::sync_with_stdio(false);}} fast; /* cpp template {{{ */ /* short */ #define pb push_back #define eb emplace_back #define mp make_pair #define Fi first #define Se second #define ALL(v) (v).begin(), (v).end() #define RALL(v) (v).rbegin(), (v).rend() #define X real() #define Y imag() /* REPmacro */ #define REPS(i, a, n) for (ll i = (a); i < (ll)(n); ++i) #define rep(i, n) REPS(i, 0, n) #define REP0(i,n) for (ll i = 0; i <= (ll)(n); ++i) #define REP1(i,n) for (ll i = 1; i <= (ll)(n); ++i) #define RREP(i, n) REPS(i, 1, n + 1) #define DEPS(i, a, n) for (ll i = (a); i >= (ll)(n); --i) #define DEP(i, n) DEPS(i, n, 0) #define EACH(i, n) for (auto&& i : n) /* debug */ #define debug(x) cerr << x << " " << "(L:" << __LINE__ << ")" << '\n'; /* alias */ using ll = long long; using ull = unsigned long long; using vi = vector<int>; using vvi = vector<vi>; using vvvi = vector<vvi>; using pii = pair<int, int>; using D = double; using P = complex<D>; using vs = vector<string>; template <typename T> using PQ = priority_queue<T>; template <typename T> using minPQ = priority_queue<T, vector<T>, greater<T>>; /* const */ const int INF = 1001001001; const ll LINF = 1001001001001001001ll; const int MOD = 1e9 + 7; const D EPS = 1e-9; const int dx[] = {0, 1, 0, -1, 1, -1, 1, -1}, dy[] = {1, 0, -1, 0, 1, -1, -1, 1}; /* func */ inline bool inside(int y, int x, int H, int W) {return y >= 0 && x >= 0 && y < H && x < W;} inline int in() {int x; cin >> x; return x;} inline ll IN() {ll x; cin >> x; return x;} inline vs split(const string& t, char c) {vs v; stringstream s(t); string b; while(getline(s, b, c)) v.eb(b); return v;} template <typename T> inline bool chmin(T& a, const T& b) {if (a > b) a = b; return a > b;} template <typename T> inline bool chmax(T& a, const T& b) {if (a < b) a = b; return a < b;} template <typename T, typename S> inline void print(const pair<T, S>& p) {cout << p.first << " " << p.second << endl;} template <typename T> inline void print(const T& x) {cout << x << '\n';} template <typename T, typename S> inline void print(const vector<pair<T, S>>& v) {for (auto&& p : v) print(p);} template <typename T> inline void print(const vector<T>& v, string s = " ") {rep(i, v.size()) cout << v[i] << (i != (ll)v.size() - 1 ? s : "\n");} template<typename T> istream& operator >> (istream& is, vector<T>& vec){ for(T& x: vec) is >> x; //for(int i=0; i<vec.size(); i++) is >> x[i]; とかでもいいです。 return is; } template<typename T> ostream& operator << (ostream& os, vector<T>& vec){ for(int i=0; i<vec.size(); i++){ os << vec[i] << ( i+1 == vec.size() ? "" : " " ); } return os; } /* }}} */ vector<long long int> dijkstra(int s,int v, vector<vector<pii>> G) { //s: 始点, v: 頂点数, G: 隣接リスト PQ<pair<long long int,int>> wait; vector<long long int> result(v,INF); result[s]=0; wait.push(mp(0,s)); while(!wait.empty()) { long long int nowpoint=wait.top().Se; long long int nowcost=wait.top().Fi; wait.pop(); if(nowcost<=result[nowpoint]) { rep(i,G[nowpoint].size()) { long long int nextpoint=G[nowpoint][i].Se; long long int nextcost= G[nowpoint][i].Fi-nowcost; if(nextcost<result[nextpoint]) { wait.push(mp(-nextcost,nextpoint)); result[nextpoint]=nextcost; } } } } return result; } vector<bool> IsPrime; void sieve(size_t max){ if(max+1 > IsPrime.size()){ // resizeで要素数が減らないように IsPrime.resize(max+1,true); // IsPrimeに必要な要素数を確保 } IsPrime[0] = false; // 0は素数ではない IsPrime[1] = false; // 1は素数ではない for(size_t i=2; i*i<=max; ++i) // 0からsqrt(max)まで調べる if(IsPrime[i]) // iが素数ならば for(size_t j=2; i*j<=max; ++j) // (max以下の)iの倍数は IsPrime[i*j] = false; // 素数ではない } bool f(int a, int b) { if(IsPrime[a]&&(b<a)) return true; else return false; } signed main() { sieve(1000001); int n=in(); int q[n]; rep(i,n) cin>>q[i]; ll p,e,mp,me; if(IsPrime[q[0]]) mp=q[0]; else { cout<<0<<endl; return 0; } me=1; p=1,e=0; for(int i=1;i<n;++i) { ll tp,te,tmp,tme; if(f(q[i],mp)) { tp=p; tmp=q[i]; te=p; tme=mp; } else { tp=0; tmp=mp; te=p; tme=mp; } if(f(q[i],me)) { tp+=e%MOD; tmp=q[i]; } p=tp,e=te,mp=tmp,me=tme; } ll ans=(e+p)%MOD; cout<<ans<<endl; return 0; }
#include <bits/stdc++.h> using namespace std; using ll = long long; using pii = pair<int, int>; using pll = pair<ll, ll>; constexpr int M = 1e9 + 7; int main() { int N; cin >> N; vector<int> q(N); vector<bool> b(N, false); for(int i = 0; i < N; ++i) { cin >> q[i]; for(int x = 2; x * x <= q[i]; ++x) { if(q[i] % x == 0) b[i] = true; } } // dp[i][pre is p] vector<vector<int>> dp(N + 1, vector<int>(2)); dp[0][0] = 1; for(int i = 0; i < N; ++i) { if(i == 0 && !b[i]) { dp[i + 1][1] = 1; continue; } for(int j = 0; j < 2; ++j) { if(j == 0) { if((i < 2 || (q[i - 2] != q[i] && q[i - 2] < q[i])) && !b[i]) { (dp[i + 1][1] += dp[i][j]) %= M; } } else { // pre is p if(q[i - 1] == q[i]) { (dp[i + 1][0] += dp[i][j]) %= M; } else { if(q[i - 1] < q[i] && !b[i]) { (dp[i + 1][1] += dp[i][j]) %= M; } (dp[i + 1][0] += dp[i][j]) %= M; } } } } int ans = (dp[N][0] + dp[N][1]) % M; cout << ans << endl; }
#include <iostream> #include <algorithm> #include <vector> #include <set> #include <map> #include <queue> #include <stack> #include <cstdio> #include <cstring> #include <math.h> using namespace std; typedef long long ll; typedef double D; typedef pair<int,int> P; #define M 1000000007 #define F first #define S second #define PB push_back ll n,dp[100005][2],a[100005]; bool p[1000005]; int main(void){ for(int i=2;i<=1000;i++)if(!p[i])for(int j=i*2;j<=1000000;j+=i)p[j]=true; scanf("%lld",&n); for(int i=0;i<n;i++)scanf("%lld",a+i); if(!p[a[0]])dp[1][0]=1; for(int i=1;i<n;i++){ dp[i+1][1]=(dp[i+1][1]+dp[i][0])%M; if(!p[a[i]]&&a[i-1]<a[i])dp[i+1][0]=(dp[i+1][0]+dp[i][0])%M; if(i>1&&!p[a[i]]&&a[i-2]<a[i])dp[i+1][0]=(dp[i+1][0]+dp[i][1])%M; } cout<<(dp[n][0]+dp[n][1])%M<<endl; }
#include <bits/stdc++.h> using namespace std; #define FOR(i,a,b) for(int i=(a);i<(b);++i) #define rep(i,n) FOR(i,0,n) #define pb emplace_back typedef long long ll; typedef pair<ll,ll> pint; ll dp[100003]; const int max_n=1000001; bool is_prime[max_n]; int prime[max_n]; int sieve(int n){ int p=0; rep(i,n+1) is_prime[i]=true; is_prime[0]=is_prime[1]=false; FOR(i,2,n+1){ if(is_prime[i]){ prime[p++]=i; for(int j=2*i;j<=n;j+=i) is_prime[j]=false; } } return p; } int q[100001]; const int mod=1000000007; int main(){ int n; cin>>n; sieve(1000000); dp[0]=1; rep(i,n) cin>>q[i]; rep(i,n){ if(i+2<=n&&is_prime[q[i]]&&(i+2==n||q[i+2]>q[i])){ dp[i+2]+=dp[i]; dp[i+2]%=mod; } if(is_prime[q[i]]&&(i+1==n||q[i+1]>q[i])){ dp[i+1]+=dp[i]; dp[i+1]%=mod; } } cout<<dp[n]<<endl; return 0; }
#include <bits/stdc++.h> #define FOR(i,a,b) for( ll i = (a); i < (ll)(b); i++ ) #define REP(i,n) FOR(i,0,n) #define YYS(x,arr) for(auto& x:arr) #define ALL(x) (x).begin(),(x).end() #define SORT(x) sort( (x).begin(),(x).end() ) #define REVERSE(x) reverse( (x).begin(),(x).end() ) #define UNIQUE(x) (x).erase( unique( ALL( (x) ) ) , (x).end() ) #define PW(x) (1LL<<(x)) #define SZ(x) ((ll)(x).size()) #define SHOW(x) cout << #x << " = " << x << endl #define SHOWA(x,n) for( int yui = 0; yui < n; yui++ ){ cout << x[yui] << " "; } cout << endl #define pb emplace_back #define fi first #define se second using namespace std; typedef long double ld; typedef long long int ll; typedef pair<int,int> pi; typedef pair<ll,ll> pl; typedef vector<int> vi; typedef vector<ll> vl; typedef vector<bool> vb; typedef vector<ld> vd; typedef vector<pi> vpi; typedef vector<pl> vpl; typedef vector<vpl> gr; typedef vector<vl> ml; typedef vector<vd> md; typedef vector<vi> mi; const ll INF = (ll)1e9 + 10; const ll INFLL = (ll)1e18 + 10; const ld EPS = 1e-12; const ll MOD = 1e9+7; template<class T> T &chmin( T &a , const T &b ){ return a = min(a,b); } template<class T> T &chmax( T &a , const T &b ){ return a = max(a,b); } template<class T> inline T sq( T a ){ return a * a; } ll in(){ long long int x; scanf( "%lld" , &x ); return x; } char yuyushiki[1000010]; string stin(){ scanf( "%s" , yuyushiki ); return yuyushiki; } // head struct Mod{ unsigned n; Mod() : n(0){} Mod( ll x ){ if( x < 0 ) n = x%MOD+MOD; else n = x%MOD; } }; Mod operator + ( Mod a , Mod b ){ return Mod( a.n + b.n ); } Mod operator +=( Mod &a , Mod b ){ return a = a + b; } Mod operator - ( Mod a ){ return Mod( MOD - a.n ); } Mod operator - ( Mod a , Mod b ){ return Mod( a.n + MOD - b.n ); } Mod operator -=( Mod &a , Mod b ){ return a = a - b; } Mod operator * ( Mod a , Mod b ){ return Mod( (ll)a.n * b.n ); } Mod operator *=( Mod &a , Mod b ){ return a = a * b; } Mod modpow( Mod x , ll k ){ Mod res = 1; while( k ){ if( k & 1 ) res *= x; k /= 2; x *= x; } return res; } ll extgcd( ll a , ll b , ll &x , ll &y ){ ll d = a; if( b != 0 ){ d = extgcd( b , a % b , y , x ); y -= a / b * x; } else { x = 1, y = 0; } return d; } Mod inv( Mod a ){ ll x, y; assert( extgcd( a.n , MOD , x , y ) == 1 ); return Mod( x ); } Mod operator / ( Mod a , Mod b ){ return Mod( (ll)a.n * inv(b).n ); } Mod operator /=( Mod &a , Mod b ){ return a = a / b; } vb isp; int max_p; void init_p( int mp = 1000010 ){ max_p = mp; isp.resize( max_p , true ); isp[0] = isp[1] = false; FOR( i , 2 , max_p ){ if( isp[i] ){ for( int j = i*2; j < max_p; j += i ) isp[j] = false; } } } bool is_prime( int x ){ return isp[x]; } int n; int a[100010]; Mod dp[100010][2]; int main(){ init_p(); n = in(); a[0] = -1; REP( i , n ){ a[i+1] = in(); } dp[0][0] = 1; REP( i , n ){ REP( j , 2 ){ if(dp[i][j].n != 0){ if(a[i-j] < a[i+1] && is_prime(a[i+1])){ // cout << "* " << i+1 << " " << 0 << " " << dp[i+1][0].n << " " << dp[i][j].n << endl; dp[i+1][0] += dp[i][j]; if(i+2 <= n && a[i+2] >= 2){ dp[i+2][1] += dp[i][j]; //cout << "* " << i+2 << " " << 1 << " " << dp[i+1][0].n << " " << dp[i][j].n << endl; } } } } } /* REP( i , n+1 ){ cout << dp[i][0].n << " " << dp[i][1].n << endl; } */ Mod ans = dp[n][0] + dp[n][1]; cout << ans.n << endl; return 0; }
#include "bits/stdc++.h" using namespace std; #define int long long // <-----!!!!!!!!!!!!!!!!!!! #define rep(i,n) for (int i=0;i<(n);i++) #define rep2(i,a,b) for (int i=(a);i<(b);i++) #define rrep(i,n) for (int i=(n)-1;i>=0;i--) #define rrep2(i,a,b) for (int i=(a)-1;i>=b;i--) #define chmin(a,b) (a)=min((a),(b)); #define chmax(a,b) (a)=max((a),(b)); #define all(a) (a).begin(),(a).end() #define rall(a) (a).rbegin(),(a).rend() #define printV(v) cerr<<(#v)<<":";for(auto(x):(v)){cerr<<" "<<(x);}cerr<<endl; #define printVS(vs) cerr<<(#vs)<<":"<<endl;for(auto(s):(vs)){cerr<<(s)<< endl;} #define printVV(vv) cerr<<(#vv)<<":"<<endl;for(auto(v):(vv)){for(auto(x):(v)){cerr<<" "<<(x);}cerr<<endl;} #define printP(p) cerr<<(#p)<<(p).first<<" "<<(p).second<<endl; #define printVP(vp) cerr<<(#vp)<<":"<<endl;for(auto(p):(vp)){cerr<<(p).first<<" "<<(p).second<<endl;} inline void output(){ cerr << endl; } template<typename First, typename... Rest> inline void output(const First& first, const Rest&... rest) { cerr << first << " "; output(rest...); } using ll = long long; using Pii = pair<int, int>; using TUPLE = tuple<int, int, int>; using vi = vector<int>; using vvi = vector<vi>; using vvvi = vector<vvi>; const int inf = 1ll << 60; const int mod = 1e9 + 7; using Graph = vector<vector<int>>; // x > 0 bool isPrime(int n) { for (int i = 2; i * i <= n; i++) { if (n % i == 0) return false; } return n != 1; } signed main() { std::ios::sync_with_stdio(false); std::cin.tie(0); int n; cin >> n; vi a(n + 2); a[0] = 1; rep(i, n) cin >> a[i + 1]; a.back() = mod; vi dp(n + 2, 0); if (!isPrime(a[1])) { cout << 0 << endl; return 0; } dp[1] = 1; rep2(i, 2, n + 2) { if (isPrime(a[i])) { if (a[i] > a[i - 1]) dp[i] += dp[i - 1]; if (a[i] > a[i - 2]) dp[i] += dp[i - 2]; dp[i] %= mod; } } cout << dp.back() << endl; }
#include <iostream> #include <algorithm> #include <vector> using namespace std; struct prime_num{ int number; bool if_prime_num; }; vector<prime_num> prime_nums; long dp[int(2e5)]; long choose(int now){ if(dp[now] != -1){ return dp[now]; }else if(now >= int(prime_nums.size()) - 1){ return dp[now] = 1; }else if(!prime_nums[now].if_prime_num && prime_nums[now].number < prime_nums[now + 1].number){ return dp[now] = choose(now + 1); }else if(!prime_nums[now].if_prime_num){ return dp[now] = 0; }else if(!prime_nums[now + 1].if_prime_num && prime_nums[now].number < prime_nums[now + 1].number){ return dp[now] = choose(now + 1); }else if(!prime_nums[now + 1].if_prime_num){ return dp[now] = 0; }else if(now == int(prime_nums.size()) - 2 && prime_nums[now].number < prime_nums[now + 1].number){ return dp[now] = 2; }else if(now == int(prime_nums.size()) - 2){ return dp[now] = 1; }else if(prime_nums[now].number < prime_nums[now + 1].number && prime_nums[now].number < prime_nums[now + 2].number){ return dp[now] = (choose(now + 1) + choose(now + 2)) % long(1e9 + 7); }else if(prime_nums[now].number < prime_nums[now + 1].number){ return dp[now] = choose(now + 1); }else if(prime_nums[now].number < prime_nums[now + 2].number){ return dp[now] = choose(now + 2); }else{ return dp[now] = 0; } } int main(){ int N; cin >> N; int if_prime[int(2e6)]; fill(if_prime, if_prime + int(2e6), -1); if_prime[0] = 0; if_prime[1] = 0; for(int i = 2; i * i <= int(2e6); i++){ if(if_prime[i] == -1){ if_prime[i] = 1; for(int j = i * 2; j < int(2e6); j += i){ if_prime[j] = 0; } } } int nums[N]; for(int i = 0; i < N; i++){ cin >> nums[i]; } if(!if_prime[nums[0]]){ cout << 0 << endl; return 0; } prime_nums.push_back({nums[0], true}); for(int i = 1; i < N; i++){ if(!if_prime[nums[i - 1]] && !if_prime[nums[i]]){ cout << 0 << endl; return 0; }else if(!if_prime[nums[i]] && prime_nums.empty()){ cout << 0 << endl; return 0; }else if(!if_prime[nums[i]]){ prime_num insert_item = {prime_nums.back().number, false}; prime_nums.pop_back(); prime_nums.push_back(insert_item); }else{ prime_nums.push_back({nums[i], true}); } } fill(dp, dp + int(2e5), -1); cout << choose(0) << endl; }
#include<bits/stdc++.h> using namespace std; typedef long long ll; const ll mod=1e9+7; bool isPrime(ll x){ if(x<2)return false; for(ll i=2;i*i<=x;i++) if(x%i==0)return false; return true; } int n; ll a[100005]; ll dp[100005][2]; int main(){ cin>>n; for(int i=1;i<=n;i++)cin>>a[i]; dp[0][0]=1; for(int i=1;i<=n;i++){ if( isPrime(a[i]) ){ if(a[i] > a[i-1] &&i-1>=0){ dp[i][0]+=dp[i-1][0]; } if(a[i] > a[i-2] &&i-2>=0){ dp[i][0]+=dp[i-1][1]; } } if( isPrime(a[i-1]) &&i-1>=0 ){ if( a[i-1] > a[i-2] &&i-2>=0){ dp[i][1]+=dp[i-2][0]; } if( a[i-1] > a[i-3] &&i-3>=0){ dp[i][1]+=dp[i-2][1]; } } dp[i][0]%=mod; dp[i][1]%=mod; } cout<< (dp[n][0]+dp[n][1]) % mod <<endl; return 0; }
#include <iostream> #define int long long using namespace std; int n; int q[100000]; bool isPrime[1000001]; void setPrime(int n) { int i, j; for (i = 2; i <= n; i++) isPrime[i] = true; isPrime[0] = isPrime[1] = false; for (i = 2; i <= n; i++) { if (isPrime[i]) { for (j = i * 2; j <= n; j += i) isPrime[j] = false; } } } int dp[100001]; int mod = 1000000007; signed main() { int i; cin >> n; for (i = 0; i < n; i++) cin >> q[i]; setPrime(1000000); if (!isPrime[q[0]]) { cout << 0 << endl; return 0; } dp[0] = 1; for (i = 0; i < n; i++) { if (i + 1 == n || (isPrime[q[i + 1]] && q[i] < q[i + 1])) { dp[i + 1] += dp[i]; dp[i + 1] %= mod; } if (i == n - 1) continue; if (i + 2 == n || (isPrime[q[i + 2]] && q[i] < q[i + 2])) { dp[i + 2] += dp[i]; dp[i + 2] %= mod; } } cout << dp[n] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; void eratosthenes(int N, int* arr){ for(int i=0; i < N; i++){ arr[i] = 1; } for(int i=2; i < sqrt(N); i++){ if(arr[i]){ for(int j=0; i * (j + 2) < N; j++){ arr[i*(j+2)] = 0; } } } } int main(void){ const int NMAX = 100011; const int QMAX = 1000001; const int MOD = 1e9+7; int dp[NMAX][2]; // dp[idx][自分が素因数(0)か肩(1)か] int isprime[QMAX]; for(int i = 0; i < NMAX; i++) for(int j = 0; j < 2; j++) dp[i][j] = 0; eratosthenes(QMAX, isprime); int N; cin >> N; vector<int> q(N); for(int i = 0; i < N; i++) cin >> q[i]; q.push_back(0); if(isprime[q[0]]) dp[0][0] = 1; for(int i = 0; i < N-1; i++){ for(int j = 0; j < 2; j++){ if(j == 0){ dp[i+1][1] = (dp[i+1][1] + dp[i][j]) % MOD; if(q[i+1] > q[i] && isprime[q[i+1]]){ dp[i+1][0] = (dp[i+1][0] + dp[i][j]) % MOD; } }else{ if((i == 0 || q[i+1] > q[i-1]) && isprime[q[i+1]]){ dp[i+1][0] = (dp[i+1][0] + dp[i][j]) % MOD; } } } } cout << (dp[N-1][0] + dp[N-1][1]) % MOD << endl; return 0; }
// {{{ #include <algorithm> #include <bitset> #include <cassert> #include <cmath> #include <complex> #include <cstdint> #include <cstdio> #include <deque> #include <functional> #include <iomanip> #include <iostream> #include <limits> #include <map> #include <numeric> #include <queue> #include <set> #include <sstream> #include <stack> #include <tuple> #include <utility> #include <vector> using namespace std; // }}} using ll = long long; const ll MOD = 1000000007; char prime[1000005]; void init_prime() { fill(prime, prime+1000005, 1); prime[0] = prime[1] = 0; for (int x = 2; x <= 1000000; ++x) { if (prime[x] && x <= 1000) { for (int y = x*x; y <= 1000000; y += x) prime[y] = 0; } } } ll N, Q[101010]; ll memo[101010]; int main() { init_prime(); cin.tie(0); ios::sync_with_stdio(false); cin >> N; for (int j = 1; j <= N; ++j) cin >> Q[j]; reverse(Q+1, Q+N+1); fill(memo, memo+N+1, 0); memo[0] = 1; memo[1] = prime[Q[1]] ? 1 : 0; for (int j = 2; j <= N; ++j) { if (prime[Q[j]]) { if (Q[j-1] > Q[j]) { memo[j] = (memo[j] + memo[j-1]) % MOD; } if (Q[j-1] > 1 && (j < 3 || (prime[Q[j-2]] && Q[j-2] > Q[j]))) { memo[j] = (memo[j] + memo[j-2]) % MOD; } } } cout << memo[N] << endl; return 0; }
/* -*- coding: utf-8 -*- * * 2870.cc: The Diversity of Prime Factorization */ #include<cstdio> #include<cstdlib> #include<cstring> #include<cmath> #include<iostream> #include<string> #include<vector> #include<map> #include<set> #include<stack> #include<list> #include<queue> #include<deque> #include<algorithm> #include<numeric> #include<utility> #include<complex> #include<functional> using namespace std; /* constant */ const int MAX_N = 100000; const int MAX_P = 1000000; const int MOD = 1000000007; /* typedef */ /* global variables */ bool primes[MAX_P + 1]; int qs[MAX_N], dp[MAX_N][2]; /* subroutines */ void gen_primes(int maxp) { memset(primes, true, sizeof(primes)); primes[0] = primes[1] = false; for (int p = 2; p * p <= maxp; p++) if (primes[p]) for (int q = p * p; q <= maxp; q += p) primes[q] = false; } inline void addmod(int &a, int b) { a = (a + b) % MOD; } /* main */ int main() { gen_primes(MAX_P); int n; scanf("%d", &n); for (int i = 0; i < n; i++) scanf("%d", qs + i); if (! primes[qs[0]]) { puts("0"); return 0; } dp[0][0] = 1; for (int i = 1; i < n; i++) { if (primes[qs[i]]) { if (primes[qs[i - 1]] && qs[i - 1] < qs[i]) addmod(dp[i][0], dp[i - 1][0]); if (i >= 2 && primes[qs[i - 2]] && qs[i - 2] < qs[i]) addmod(dp[i][0], dp[i - 1][1]); } dp[i][1] = dp[i - 1][0]; } //for (int i = 0; i < n; i++) printf("%d,%d ", dp[i][0], dp[i][1]); printf("%d\n", (dp[n - 1][0] + dp[n - 1][1]) % MOD); return 0; }
#include <bits/stdc++.h> #include<iostream> #include<cstdio> #include<vector> #include<queue> #include<map> #include<cstring> #include<string> #include <math.h> #include<algorithm> // #include <boost/multiprecision/cpp_int.hpp> #include<functional> #define int long long #define inf 1000000007 #define pa pair<int,int> #define ll long long #define pal pair<double,double> #define ppap pair<pa,int> #define ssa pair<string,int> #define mp make_pair #define pb push_back #define EPS (1e-10) #define equals(a,b) (fabs((a)-(b))<EPS) int dx[4]={0,-1,0,1}; int dy[4]={1,0,-1,0}; using namespace std; class pa3{ public: int x,y,z; pa3(int x=0,int y=0,int z=0):x(x),y(y),z(z) {} bool operator < (const pa3 &p) const{ if(x!=p.x) return x<p.x; if(y!=p.y) return y<p.y; return z<p.z; //return x != p.x ? x<p.x: y<p.y; } bool operator > (const pa3 &p) const{ if(x!=p.x) return x>p.x; if(y!=p.y) return y>p.y; return z>p.z; //return x != p.x ? x<p.x: y<p.y; } bool operator == (const pa3 &p) const{ return x==p.x && y==p.y && z==p.z; } bool operator != (const pa3 &p) const{ return !( x==p.x && y==p.y && z==p.z); } }; class pa4{ public: double x; int y,z,w; pa4(double x=0,int y=0,int z=0,int w=0):x(x),y(y),z(z),w(w) {} bool operator < (const pa4 &p) const{ if(x!=p.x) return x<p.x; if(y!=p.y) return y<p.y; if(z!=p.z)return z<p.z; return w<p.w; //return x != p.x ? x<p.x: y<p.y; } bool operator > (const pa4 &p) const{ if(x!=p.x) return x>p.x; if(y!=p.y) return y>p.y; if(z!=p.z)return z>p.z; return w>p.w; //return x != p.x ? x<p.x: y<p.y; } bool operator == (const pa4 &p) const{ return x==p.x && y==p.y && z==p.z &&w==p.w; } }; class pa2{ public: int x,y; pa2(int x=0,int y=0):x(x),y(y) {} pa2 operator + (pa2 p) {return pa2(x+p.x,y+p.y);} pa2 operator - (pa2 p) {return pa2(x-p.x,y-p.y);} bool operator < (const pa2 &p) const{ return x != p.x ? x<p.x: y<p.y; } bool operator > (const pa2 &p) const{ return x != p.x ? x>p.x: y>p.y; } bool operator == (const pa2 &p) const{ return abs(x-p.x)==0 && abs(y-p.y)==0; } bool operator != (const pa2 &p) const{ return !(abs(x-p.x)==0 && abs(y-p.y)==0); } }; #define ppa pair<int,pas> class Point{ public: double x,y; Point(double x=0,double y=0):x(x),y(y) {} Point operator + (Point p) {return Point(x+p.x,y+p.y);} Point operator - (Point p) {return Point(x-p.x,y-p.y);} Point operator * (double a) {return Point(x*a,y*a);} Point operator / (double a) {return Point(x/a,y/a);} double absv() {return sqrt(norm());} double norm() {return x*x+y*y;} bool operator < (const Point &p) const{ return x != p.x ? x<p.x: y<p.y; } bool operator == (const Point &p) const{ return fabs(x-p.x)<EPS && fabs(y-p.y)<EPS; } }; typedef Point Vector; #define pl pair<int,pas> struct Segment{ Point p1,p2; }; double dot(Vector a,Vector b){ return a.x*b.x+a.y*b.y; } double cross(Vector a,Vector b){ return a.x*b.y-a.y*b.x; } bool parareru(Point a,Point b,Point c,Point d){ // if(abs(cross(a-b,d-c))<EPS)cout<<"dd "<<cross(a-b,d-c)<<endl; return abs(cross(a-b,d-c))<EPS; } double distance_ls_p(Point a, Point b, Point c) { if ( dot(b-a, c-a) < EPS ) return (c-a).absv(); if ( dot(a-b, c-b) < EPS ) return (c-b).absv(); return abs(cross(b-a, c-a)) / (b-a).absv(); } bool is_intersected_ls(Segment a,Segment b) { if(a.p1==b.p1||a.p2==b.p1||a.p1==b.p2||a.p2==b.p2) return false; if(parareru((a.p2),(a.p1),(a.p1),(b.p2))&&parareru((a.p2),(a.p1),(a.p1),(b.p1))){ // cout<<"sss"<<endl; if(dot(a.p1-b.p1,a.p1-b.p2)<EPS) return true; if(dot(a.p2-b.p1,a.p2-b.p2)<EPS) return true; if(dot(a.p1-b.p1,a.p2-b.p1)<EPS) return true; if(dot(a.p1-b.p2,a.p2-b.p2)<EPS) return true; return false; } else return ( cross(a.p2-a.p1, b.p1-a.p1) * cross(a.p2-a.p1, b.p2-a.p1) < EPS ) && ( cross(b.p2-b.p1, a.p1-b.p1) * cross(b.p2-b.p1, a.p2-b.p1) < EPS ); } double segment_dis(Segment a,Segment b){ if(is_intersected_ls(a,b))return 0; double r=distance_ls_p(a.p1, a.p2, b.p1); r=min(r,distance_ls_p(a.p1, a.p2, b.p2)); r=min(r,distance_ls_p(b.p1, b.p2, a.p2)); r=min(r,distance_ls_p(b.p1, b.p2, a.p1)); return r; } Point intersection_ls(Segment a, Segment b) { Point ba = b.p2-b.p1; double d1 = abs(cross(ba, a.p1-b.p1)); double d2 = abs(cross(ba, a.p2-b.p1)); double t = d1 / (d1 + d2); return a.p1 + (a.p2-a.p1) * t; } string itos( int i ) { ostringstream s ; s << i ; return s.str() ; } int gcd(int v,int b){ if(v>b) return gcd(b,v); if(v==b) return b; if(b%v==0) return v; return gcd(v,b%v); } double distans(double x1,double y1,double x2,double y2){ double rr=(x1-x2)*(x1-x2)+(y1-y2)*(y1-y2); return sqrt(rr); } // int pr[2000010]; // int inv[2000010]; int beki(int wa,int rr,int warukazu){ if(rr==0) return 1%warukazu; if(rr==1) return wa%warukazu; if(rr%2==1) return (beki(wa,rr-1,warukazu)*wa)%warukazu; int zx=beki(wa,rr/2,warukazu); return (zx*zx)%warukazu; } double bekid(double w,int r){ if(r==0) return 1.0; if(r==1) return w; if(r%2) return bekid(w,r-1)*w; double f=bekid(w,r/2); return f*f; } /* int comb(int nn,int rr){ int r=pr[nn]*inv[rr]; r%=inf; r*=inv[nn-rr]; r%=inf; return r; } void gya(int ert){ pr[0]=1; for(int i=1;i<ert;i++){ pr[i]=(pr[i-1]*i)%inf; } for(int i=0;i<ert;i++) inv[i]=beki(pr[i],inf-2,inf); } */ //priority_queue<pa3,vector<pa3>,greater<pa3>> pq; //sort(ve.begin(),ve.end(),greater<int>()); //----------------kokomade tenpure------------ //vector<double> ans(100000000),ans2(100000000) int sosu[1000020]={0}; int q[100002]; int dp1[100020][2]={0}; int dp2[100020][2]={0}; signed main(){ int n,m; sosu[1]=0; for(int i=2;i<=1000000;i++){ if(sosu[i]) continue; for(int j=2*i;j<=1000000;j+=i)sosu[j]=1; } cin>>n; for(int i=1;i<=n;i++)cin>>q[i]; dp1[0][0]=1; dp1[0][1]=1; dp2[0][0]=1; dp2[0][1]=1; for(int i=1;i<n;i++){ if(sosu[q[i]]==1 && sosu[q[i+1]]==1){ cout<<0<<endl; return 0; } } q[0]=1; for(int i=1;i<=n;i++){ if(sosu[q[i]]==0){ if(sosu[q[i-1]]==0)if( q[i-1]<q[i]){ dp1[i][0]+=dp1[i-1][0]; dp1[i][1]=q[i]; } if(sosu[q[i-2]]==0)if(q[i-2]<q[i] && i>=3){ dp1[i][0]+=dp2[i-1][0]; dp1[i][1]=q[i]; } dp1[i][0]%=inf; } if(sosu[q[i-1]]==0){ if(sosu[q[i-2]]==0)if(q[i-2]<q[i-1] && i>=2){ dp2[i][0]+=dp1[i-2][0]; dp2[i][1]=q[i-1]; } if(sosu[q[i-3]]==0)if(q[i-3]<q[i-1] && i>=4){ dp2[i][0]+=dp2[i-2][0]; dp2[i][1]=q[i-1]; } dp2[i][0]%=inf; } // cout<<dp1[i][0]<<" "<<dp2[i][0]<<endl; // cout<<dp1[i][1]<<" "<<dp2[i][1]<<endl; } cout<<(dp1[n][0]+dp2[n][0])%inf<<endl; return 0; }
#include <stdio.h> #include <cmath> #include <algorithm> #include <cfloat> #include <stack> #include <queue> #include <vector> #include <string> #include <iostream> #include <set> #include <map> #include <time.h> typedef long long int ll; typedef unsigned long long int ull; #define BIG_NUM 2000000000 #define MOD 1000000007 #define EPS 0.000000001 using namespace std; #define NUM 1010000 enum Type{ prime, mult, }; bool is_prime[NUM]; ll table[100001]; ll dp[100001][2]; int main(){ for(int i = 0; i < NUM; i++)is_prime[i] = true; is_prime[0] = false; is_prime[1] = false; for(int i = 2; i <= sqrt(NUM); i++){ if(is_prime[i]){ for(int k = 2*i; k < NUM; k += i){ is_prime[k] = false; } } } int N; scanf("%d",&N); for(int i = 0; i < N; i++)scanf("%lld",&table[i]); if(!is_prime[table[0]]){ printf("0\n"); return 0; } for(int i = 0; i < N; i++){ dp[i][prime] = 0; dp[i][mult] = 0; } dp[0][prime] = 1; for(int i = 1; i <= N-1; i++){ dp[i][mult] += dp[i-1][prime]; if(is_prime[table[i]]){ if(table[i-1] < table[i] && is_prime[table[i-1]] == true){ dp[i][prime] += dp[i-1][prime]; } if(i >= 2 && table[i-2] < table[i] && is_prime[table[i-2]] == true){ dp[i][prime] += dp[i-1][mult]; } } dp[i][mult] %= MOD; dp[i][prime] %= MOD; } ll ans = dp[N-1][prime]+dp[N-1][mult]; ans %= MOD; printf("%lld\n",ans); return 0; }
#include <bits/stdc++.h> #define syosu(x) fixed<<setprecision(x) using namespace std; typedef long long ll; typedef unsigned long long ull; typedef pair<int,int> P; typedef pair<double,double> pdd; typedef pair<ll,ll> pll; typedef vector<int> vi; typedef vector<vi> vvi; typedef vector<double> vd; typedef vector<vd> vvd; typedef vector<ll> vl; typedef vector<vl> vvl; typedef vector<string> vs; typedef vector<P> vp; typedef vector<vp> vvp; typedef vector<pll> vpll; typedef pair<P,int> pip; typedef vector<pip> vip; const int inf=1<<30; const ll INF=1ll<<60; const double pi=acos(-1); const double eps=1e-8; const ll mod=1e9+7; const int dx[4]={-1,0,1,0},dy[4]={0,-1,0,1}; bool Is_Prime(ll n){ for(int i=2;i*i<=n;i++){ if(n%i==0) return 0; } return n!=1; } int n; vi a,b; int main(){ cin>>n; a=b=vi(n); for(int i=0;i<n;i++){ cin>>a[i]; b[i]=Is_Prime(a[i]); } vi dp0(n),dp1(n); if(b[0]) dp0[0]++; if(n>=2&&b[0]) dp1[1]++; for(int i=1;i<n;i++){ if(b[i]){ if(i-2>=0&&b[i-2]&&a[i-2]<a[i]) (dp0[i]+=dp1[i-1])%=mod; if(b[i-1]&&a[i-1]<a[i]) (dp0[i]+=dp0[i-1])%=mod; } if(b[i-1]){ if(i-2>=0&&b[i-2]&&a[i-2]<a[i-1]) (dp1[i]+=dp0[i-2])%=mod; if(i-3>=0&&b[i-3]&&a[i-3]<a[i-1]) (dp1[i]+=dp1[i-2])%=mod; } } cout<<(dp0[n-1]+dp1[n-1])%mod<<endl; }
#include <bits/stdc++.h> using namespace std; #define FOR(i,k,n) for(int i = (int)(k); i < (int)(n); i++) #define REP(i,n) FOR(i,0,n) #define ALL(a) a.begin(), a.end() #define MS(m,v) memset(m,v,sizeof(m)) typedef long long ll; typedef long double ld; typedef vector<int> vi; typedef vector<string> vs; typedef pair<int, int> pii; const int MOD = 1e9 + 7; template<class T> T &chmin(T &a, const T &b) { return a = min(a, b); } template<class T> T &chmax(T &a, const T &b) { return a = max(a, b); } template<class T> istream& operator >> (istream& is, vector<T>& v) { for (auto &i : v) is >> i; return is; } template<class T> ostream& operator<<(ostream& os, vector<T>& v) { const string delimiter = "\n"; REP(i, v.size()) { os << v[i]; if (i != v.size() - 1) os << delimiter; } return os; } /*--------------------template--------------------*/ const int N = 1111111; bool prime[N + 1]; vector<int> primes; void hurui() { memset(prime, true, sizeof(prime)); prime[0] = prime[1] = false; for (int i = 2; i*i < N; i++) { if (!prime[i]) continue; for (int j = i; i*j < N; j++) { prime[i*j] = false; } } REP(i, N + 1) { if (prime[i]) { primes.push_back(i); } } } ll pow(ll x, ll n, ll mod) { ll res = 1; while (n > 0) { if (n & 1) res = res * x % mod; x = x*x%mod; n >>= 1; } return res; } int n; vi q; ll dp[111111]; ll solve(int p) { if (dp[p] >= 0) return dp[p]; if (p == n) return 0; if (p == n - 1) { if (prime[q[p]]) return 1; else return 0; } ll res = 0; if (prime[q[p + 1]] && q[p + 1] > q[p]) { res += solve(p + 1); } if (p + 2 < n && prime[q[p + 2]] && q[p + 2] > q[p]) { res += solve(p + 2); } if (p + 2 == n) { res += 1; } return dp[p] = res % MOD; } int main() { cin.sync_with_stdio(false); cout << fixed << setprecision(10); MS(dp, -1); hurui(); cin >> n; q.resize(n); cin >> q; if(prime[q[0]]) cout << solve(0) << endl; else cout << 0 << endl; return 0; }
#include <bits/stdc++.h> #define rep(i,n) for(int i=0;i<(int)(n);i++) #define rep1(i,n) for(int i=1;i<=(int)(n);i++) #define all(c) c.begin(),c.end() #define pb push_back #define fs first #define sc second #define show(x) cout << #x << " = " << x << endl #define chmin(x,y) x=min(x,y) #define chmax(x,y) x=max(x,y) using namespace std; template<class S,class T> ostream& operator<<(ostream& o,const pair<S,T> &p){return o<<"("<<p.fs<<","<<p.sc<<")";} template<class T> ostream& operator<<(ostream& o,const vector<T> &vc){o<<"sz = "<<vc.size()<<endl<<"[";for(const T& v:vc) o<<v<<",";o<<"]";return o;} typedef long long ll; const ll ccc=1000000; bool prime[ccc+1]; vector<ll> pr; void makeprime(){ ll i,j; for(i=2;i<=ccc;i++) prime[i]=true; for(i=2;i*i<=ccc;i++) if(prime[i]) for(j=2;j*i<=ccc;j++) prime[j*i]=false; for(i=2;i<=ccc;i++) if(prime[i]) pr.push_back(i); } template<unsigned int mod_> struct ModInt{ using uint = unsigned int; using ll = long long; using ull = unsigned long long; constexpr static uint mod = mod_; uint v; ModInt():v(0){} ModInt(ll v):v(normS(v%mod+mod)){} explicit operator bool() const {return v!=0;} static uint normS(const uint &x){return (x<mod)?x:x-mod;} // [0 , 2*mod-1] -> [0 , mod-1] static ModInt make(const uint &x){ModInt m; m.v=x; return m;} ModInt operator+(const ModInt& b) const { return make(normS(v+b.v));} ModInt operator-(const ModInt& b) const { return make(normS(v+mod-b.v));} ModInt operator-() const { return make(normS(mod-v)); } ModInt operator*(const ModInt& b) const { return make((ull)v*b.v%mod);} ModInt operator/(const ModInt& b) const { return *this*b.inv();} ModInt& operator+=(const ModInt& b){ return *this=*this+b;} ModInt& operator-=(const ModInt& b){ return *this=*this-b;} ModInt& operator*=(const ModInt& b){ return *this=*this*b;} ModInt& operator/=(const ModInt& b){ return *this=*this/b;} ll extgcd(ll a,ll b,ll &x,ll &y) const{ ll u[]={a,1,0},v[]={b,0,1}; while(*v){ ll t=*u/ *v; rep(i,3) swap(u[i]-=t*v[i],v[i]); } if(u[0]<0) rep(i,3) u[i]=-u[i]; x=u[1],y=u[2]; return u[0]; } ModInt inv() const{ ll x,y; extgcd(v,mod,x,y); return make(normS(x+mod)); } bool operator==(const ModInt& b) const { return v==b.v;} bool operator!=(const ModInt& b) const { return v!=b.v;} friend istream& operator>>(istream &o,ModInt& x){ ll tmp; o>>tmp; x=ModInt(tmp); return o; } friend ostream& operator<<(ostream &o,const ModInt& x){ return o<<x.v;} }; using mint = ModInt<1000000007>; int main(){ makeprime(); int N; cin>>N; mint a=1,b=0,c=0; vector<int> xs(N); rep(i,N) cin>>xs[i]; rep(i,N){ int x = xs[i]; mint na = 0, nb = 0, nc = 0; if(prime[x] && (i-2<0||xs[i-2]<xs[i])){ nb += a; nc += a; } if(prime[x] && (i-1<0||xs[i-1]<xs[i])){ nb += b; nc += c; } { na += c; } a = na,b = nb,c = nc; } cout<<a+b<<endl; }
#include <bits/stdc++.h> using namespace std; #define FOR(i,a,b) for(int i=(a);i<(b);++i) #define rep(i,n) FOR(i,0,n) #define pb emplace_back typedef long long ll; typedef pair<ll,ll> pint; ll dp[100003]; const int max_n=1000001; bool is_prime[max_n]; int sieve(int n){ int p=0; rep(i,n+1) is_prime[i]=true; is_prime[0]=is_prime[1]=false; FOR(i,2,n+1){ if(is_prime[i]){ for(int j=2*i;j<=n;j+=i) is_prime[j]=false; } } return p; } int q[100001]; const int mod=1000000007; int main(){ int n; cin>>n; sieve(1000000); dp[0]=1; rep(i,n) cin>>q[i]; rep(i,n){ if(i+2<=n&&is_prime[q[i]]&&(i+2==n||q[i+2]>q[i])){ dp[i+2]+=dp[i]; dp[i+2]%=mod; } if(is_prime[q[i]]&&(i+1==n||q[i+1]>q[i])){ dp[i+1]+=dp[i]; dp[i+1]%=mod; } } cout<<dp[n]<<endl; return 0; }
#include<bits/stdc++.h> #define rep(i,a,b) for(int i=a;i<b;i++) #define rrep(i,a,b) for(int i=a;i>=b;i--) #define fore(i,a) for(auto &i:a) #define all(x) (x).begin(),(x).end() #pragma GCC optimize ("-O3") using namespace std; void _main(); int main() { cin.tie(0); ios::sync_with_stdio(false); _main(); } typedef long long ll; const int inf = INT_MAX / 2; const ll infl = 1LL << 60; template<class T>bool chmax(T &a, const T &b) { if (a<b) { a = b; return 1; } return 0; } template<class T>bool chmin(T &a, const T &b) { if (b<a) { a = b; return 1; } return 0; } //--------------------------------------------------------------------------------------------------- template<int MOD> struct ModInt { static const int Mod = MOD; unsigned x; ModInt() : x(0) { } ModInt(signed sig) { x = sig < 0 ? sig % MOD + MOD : sig % MOD; } ModInt(signed long long sig) { x = sig < 0 ? sig % MOD + MOD : sig % MOD; } int get() const { return (int)x; } ModInt &operator+=(ModInt that) { if ((x += that.x) >= MOD) x -= MOD; return *this; } ModInt &operator-=(ModInt that) { if ((x += MOD - that.x) >= MOD) x -= MOD; return *this; } ModInt &operator*=(ModInt that) { x = (unsigned long long)x * that.x % MOD; return *this; } ModInt &operator/=(ModInt that) { return *this *= that.inverse(); } ModInt operator+(ModInt that) const { return ModInt(*this) += that; } ModInt operator-(ModInt that) const { return ModInt(*this) -= that; } ModInt operator*(ModInt that) const { return ModInt(*this) *= that; } ModInt operator/(ModInt that) const { return ModInt(*this) /= that; } ModInt inverse() const { long long a = x, b = MOD, u = 1, v = 0; while (b) { long long t = a / b; a -= t * b; std::swap(a, b); u -= t * v; std::swap(u, v); } return ModInt(u); } bool operator==(ModInt that) const { return x == that.x; } bool operator!=(ModInt that) const { return x != that.x; } ModInt operator-() const { ModInt t; t.x = x == 0 ? 0 : Mod - x; return t; } }; template<int MOD> ostream& operator<<(ostream& st, const ModInt<MOD> a) { st << a.get(); return st; }; template<int MOD> ModInt<MOD> operator^(ModInt<MOD> a, unsigned long long k) { ModInt<MOD> r = 1; while (k) { if (k & 1) r *= a; a *= a; k >>= 1; } return r; } typedef ModInt<1000000007> mint; bool isprime(int v) { if (v == 1) return false; for (int i = 2; 1LL*i*i <= v; i++) if (v%i == 0) return false; return true; } /*---------------------------------------------------------------------------------------------------             ∧_∧       ∧_∧  (´<_` )  Welcome to My Coding Space!      ( ´_ゝ`) /  ⌒i     /   \    | |     /   / ̄ ̄ ̄ ̄/  |   __(__ニつ/  _/ .| .|____      \/____/ (u ⊃ ---------------------------------------------------------------------------------------------------*/ /* 合成数は累乗にするしかない 前回のpは最低2個前 */ int N, A[101010]; mint dp[101010][3]; // dp[i][j] := i番目まででj個前がpとして使われている //--------------------------------------------------------------------------------------------------- void _main() { cin >> N; rep(i, 0, N) cin >> A[i]; if (!isprime(A[0])) { printf("0\n"); return; } dp[1][1] = 1; rep(i, 1, N) rep(j, 1, 3) { // 新しくpを作る if (isprime(A[i]) and 0<=i-j and A[i - j] < A[i]) dp[i + 1][1] += dp[i][j]; // 累乗にする if (j == 1) dp[i + 1][2] += dp[i][j]; } mint ans = dp[N][1] + dp[N][2]; cout << ans << endl; }
#include<iostream> #define loop(i,a,b) for(int i=a;i<b;i++) #define rep(i,a) loop(i,0,a) #define mod 1000000007 using namespace std; bool prime[1000010]; long long dp[1000000]; int q[1000000]; int main(){ rep(i,1000000)prime[i]=true; prime[0]=prime[1]=false; loop(i,2,1000000){ for(int j=2*i;j<1000000;j+=i)prime[j]=false; } int n; cin>>n; rep(i,n)cin>>q[i]; dp[1]=(prime[q[0]]?1:0); loop(i,1,n+1){ dp[i]%=mod; if(prime[q[i+1]]&&q[i-1]<q[i+1])dp[i+2]+=dp[i]; if(prime[q[i]]&&q[i-1]<q[i])dp[i+1]+=dp[i]; } cout<<(dp[n]+dp[n-1])%mod<<endl; return 0; }
#include <cstdio> #include <cstdlib> #include <cmath> #include <cstring> #include <iostream> #include <string> #include <algorithm> #include <vector> #include <queue> #include <stack> #include <map> #include <set> #include <unordered_map> #include <unordered_set> #include <complex> #include <functional> #include <cassert> typedef long long ll; using namespace std; #define debug(x) cerr << #x << " = " << (x) << endl; #define mod 1000000007 //1e9+7(prime number) #define INF 1000000000 //1e9 #define LLINF 2000000000000000000LL //2e18 #define SIZE 100010 const int MAX_P = 1000000; //max bool prime[MAX_P+1]; void Eratosthenes(void){ for(int i=2;i<=MAX_P;i++) prime[i]=true; for(int i=2;i*i<=MAX_P;i++) if(prime[i]) for(int j=i;i*j<=MAX_P;j++) prime[i*j]=false; } int dp[SIZE][2]; int main(){ int n; int q[SIZE]; Eratosthenes(); scanf("%d",&n); for(int i=1;i<=n;i++){ scanf("%d",q+i); } q[0] = 1; dp[0][0] = 1; for(int i=0;i<n;i++){ if(prime[q[i+1]]){ if(i < n-1){ if(q[i] < q[i+1]) dp[i+2][1] = (dp[i+2][1] + dp[i][0])%mod; if(i > 0 && q[i-1] < q[i+1]) dp[i+2][1] = (dp[i+2][1] + dp[i][1])%mod; } if(q[i] < q[i+1]) dp[i+1][0] = (dp[i+1][0] + dp[i][0])%mod; if(i > 0 && q[i-1] < q[i+1]) dp[i+1][0] = (dp[i+1][0] + dp[i][1])%mod; } } printf("%d\n",(dp[n][0] + dp[n][1])%mod); return 0; }
#include<bits/stdc++.h> using namespace std; using Int = long long; //INSERT ABOVE HERE signed main(){ const Int MAX = 1e6+10; vector<Int> p(MAX,0); for(Int i=2;i<MAX;i++){ if(p[i]) continue; for(Int j=i+i;j<MAX;j+=i) p[j]=1; } Int n; cin>>n; vector<Int> q(n); for(Int i=0;i<n;i++) cin>>q[i]; vector<Int> dp(n+1,0); const Int MOD = 1e9+7; dp[0]=!p[q[0]]; for(Int i=0;i<n;i++){ if(i+1==n) (dp[i+1]+=dp[i])%=MOD; if(i+2==n) (dp[i+2]+=dp[i])%=MOD; if(i+1<n&&!p[q[i+1]]&&q[i]<q[i+1]) (dp[i+1]+=dp[i])%=MOD; if(i+2<n&&!p[q[i+2]]&&q[i]<q[i+2]) (dp[i+2]+=dp[i])%=MOD; } cout<<dp[n]<<endl; return 0; }
#include<iostream> #include<vector> using namespace std; typedef long long ll; const ll mod = 1e9 + 7; int main(){ bool np[1000001] = {}; np[0] = np[1] = true; for(int i = 2; i < 1000001; i++){ if(np[i]) continue; for(int j = i+i; j < 1000001; j += i) np[j] = true; } int n; cin >> n; vector<int> q(n); for(int i = 0; i < n; i++) cin >> q[i]; if(np[q[0]]){ cout << 0 << endl; return 0; } if(n == 1){ cout << 1 << endl; return 0; } vector<vector<ll>> dp(2, vector<ll>(n,0)); dp[1][0] = 1; dp[0][1] = 1; if(!np[q[1]] && q[1] > q[0]) dp[1][1] = 1; for(int i = 2; i < n; i++){ // 指数の肩ver if(!np[q[i-1]]) dp[0][i] = (dp[0][i] + dp[1][i-1]) % mod; // 素数ver if(!np[q[i]]){ if(!np[q[i-1]] && q[i] > q[i-1]) dp[1][i] = (dp[1][i] + dp[1][i-1]) % mod; if(!np[q[i-2]] && q[i] > q[i-2]) dp[1][i] = (dp[1][i] + dp[1][i-2]) % mod; } } cout << (dp[0][n-1]+dp[1][n-1])%mod << endl; return 0; }
#include<iostream> #include<string> #include<cstdio> #include<vector> #include<cmath> #include<algorithm> #include<functional> #include<iomanip> #include<queue> #include<ciso646> #include<random> #include<map> #include<set> #include<complex> #include<bitset> #include<stack> #include<unordered_map> #include<utility> using namespace std; typedef long long ll; typedef unsigned long long ul; typedef unsigned int ui; const ll mod = 1000000007; typedef double ld; typedef complex<ld> Point; const ll INF = mod * mod; typedef pair<int, int> P; #define stop char nyaa;cin>>nyaa; #define rep(i,n) for(int i=0;i<n;i++) #define per(i,n) for(int i=n-1;i>=0;i--) #define Rep(i,sta,n) for(int i=sta;i<n;i++) #define rep1(i,n) for(int i=1;i<=n;i++) #define per1(i,n) for(int i=n;i>=1;i--) #define Rep1(i,sta,n) for(iinclude<snt i=sta;i<=n;i++) const ld eps = 1e-6; const ld pi = acos(-1.0); typedef pair<ld, ld> LDP; typedef pair<ll, ll> LP; typedef pair<int, P> speP; int dx[4] = { 1,0,-1,0 }; int dy[4] = { 0,1,0,-1 }; int h, w; char mp[50][50]; int d[50][50]; void solve() { int n; cin >> n; vector<int> a(n+1); rep(i, n)cin >> a[i+1]; vector<ll> dp(n+1), dp2(n+1); vector<int> isprime(1000001, 1); isprime[0] = isprime[1] = 0; for (int i = 2; i <= 1000000; ++i) { if (!isprime[i])continue; for (int j = 2 * i; j <= 1000000; j += i) { isprime[j] = false; } } dp[0] = 1; rep(i, n) { dp[i + 1] += dp2[i]; if (a[i + 1] > a[i] && isprime[a[i + 1]])(dp2[i + 1] += dp2[i])%=mod; if (i >= 1 && a[i + 1] > a[i - 1] && isprime[a[i + 1]])(dp2[i + 1] += dp[i]) %= mod; if (i ==0 && isprime[a[i + 1]])dp2[i + 1] += dp[i]; } cout << (dp[n] + dp2[n]) % mod << endl; } int main() { ios::sync_with_stdio(false); cin.tie(0); solve(); stop return 0; }
#include <bits/stdc++.h> #include <iomanip> using namespace std; typedef long long LL; typedef long double LD; typedef pair<int, int> PII; typedef pair<LL, LL> PLL; typedef pair<LD, LD> PLDLD; typedef vector<int> VI; typedef vector<LL> VLL; typedef vector<char> VB; #define FOR(i,a,b) for(int i=(a);i<(int)(b);++i) #define REP(i,n) FOR(i,0,n) #define CLR(a) memset((a), 0 ,sizeof(a)) #define ALL(a) a.begin(),a.end() const LD eps=1e-10; const long long INFLL=(LL)(1e9)*(LL)(1e9); const int INF=1e9; template<class T> void chmin(T& a, const T b) { if(a>b) a=b; } template<class T> void chmax(T& a, const T b) { if(a<b) a=b; } const LL pow(const LL p, const LL q) { LL t=1; for(int i=0;i<q;i++) t*=p; return t; } template <typename T> struct has_iter { private: template <typename U> static constexpr true_type check(typename U::iterator*); template <typename U> static constexpr false_type check(...); public: static constexpr bool value = decltype(check<T>(nullptr))::value; }; template<typename T, typename U = typename T::iterator> void print(const T& container) { auto&& first=begin(container), last=end(container); auto&& back=prev(last); for(auto e=first; e!=last; e=next(e)) cout<<*e<<" \n"[e==back]; } extern void* enabler; template<typename Head, typename enable_if<!has_iter<Head>::value>::type*& = enabler> void print(const Head& head) { cout<<head<<endl; } template<typename Head, typename... Tail> void print(const Head& head, const Tail&... tail) { cout<<head<<" "; print(tail...); } void io_speedup() { cin.tie(0); ios::sync_with_stdio(false); } template<typename T> istream& operator >> (istream& is, vector<T>& vec) { for(T& x: vec) is >> x; return is; } template<typename T> vector<T> read(int n) { vector<T> t(n); cin>>t; return t; } template<typename T> T read() { T t; cin>>t; return t; } class Mod { private: static const long long MODULO = 1e9+7; long long value; const void Normalize() { value=value<0?(value%MODULO+MODULO):(value%MODULO); } public: Mod():value(0){} Mod(const long long &val) { value=val; Normalize(); } explicit operator long long () const { return value; } const Mod operator -() const { return Mod(MODULO - value); } const Mod operator +(const Mod &rhs) const { return Mod(value + rhs.value); } const Mod operator -(const Mod &rhs) const { return Mod(value + (-rhs).value); } const Mod operator *(const Mod &rhs) const { return Mod(value * rhs.value); } Mod &operator +=(const Mod &rhs) { return *this = *this + rhs; } Mod &operator -=(const Mod &rhs) { return *this = *this - rhs; } Mod &operator *=(const Mod &rhs) { return *this = *this * rhs; } Mod pow(long long p) const; Mod inv() const { return pow(MODULO-2); } const Mod operator /(const Mod &rhs) const { return *this * rhs.inv(); } Mod &operator /=(const Mod &rhs) { return *this = *this / rhs; } bool operator ==(const Mod &rhs) { return value == rhs.value; } }; Mod Mod::pow(long long p) const { Mod tmp=1, mult=*this; while(p) { if((p&1)>0) tmp*=mult; p>>=1; mult*=mult; } return tmp; } namespace std { ostream& operator<<(ostream& os, const Mod mod) { os<<(long long)mod; return os; } }; int main() { const int N=1000010; vector<char> is_prime(N+1,1); is_prime[0]=0; is_prime[1]=0; for(int i=2;i<N+1;i++) { if(!is_prime[i]) continue; for(int j=i+i;j<N+1;j+=i) is_prime[j]=0; } /* REP(i,100) { if(is_prime[i]) print(i); }*/ int n; cin>>n; vector<int> q(n+1); q[0]=1; REP(i,n) cin>>q[i+1]; vector<vector<Mod>> dp(n+1, vector<Mod>(2)); dp[0][0]=1; REP(i,n) { if(is_prime[q[i+1]]) { //print("Yes"); if(q[i]<q[i+1]) dp[i+1][0] += dp[i][0]; if(q[i]<q[i+1] && i+2<n+1) dp[i+2][1] += dp[i][0]; if(i-1<=0) continue; if(q[i-1]<q[i+1]) dp[i+1][0] += dp[i][1]; if(q[i-1]<q[i+1] && i+2<n+1) dp[i+2][1] += dp[i][1]; } } print(dp[n][0] + dp[n][1]); /*REP(j,2) { REP(i,n+1) cout<<dp[i][j]<<" \n"[i==n]; }*/ }
#include <bits/stdc++.h> #define int long long using namespace std; const int mod = 1e9+7; int n, q[100005]; int prime[1000005]; int dp[100005]; signed main(){ for(int i=0;i<1000005;i++) prime[i] = 1; prime[0] = prime[1] = 0; for(int i=1;i*i<1000005;i++){ if(prime[i]==0) continue; for(int j=i*2;j<1000005;j+=i) prime[j] = 0; } cin>>n; for(int i=0;i<n;i++) cin>>q[i]; dp[0] = 1; for(int i=0;i<n;i++){ if( prime[q[i]] == 0 ) continue; if( i == n-1 ){ dp[i+1] += dp[i]; dp[i+1] %= mod; continue; } if(q[i]<q[i+1]){ dp[i+1] += dp[i]; dp[i+1] %= mod; } if( i+2 == n ){ dp[i+2] += dp[i]; dp[i+2] %= mod; } else if(q[i]<q[i+2]){ dp[i+2] += dp[i]; dp[i+2] %= mod; } } cout<<dp[n]<<endl; return 0; }
//#include <bits/stdc++.h> #include <iostream> #include <algorithm> #include <bitset> #include <vector> #include <set> #include <map> #include <unordered_set> #include <unordered_map> #include <stack> #include <queue> #include <deque> #include <cstring> #include <string> #include <utility> #include <array> #include <complex> #include <valarray> #include <cassert> #include <cmath> #include <functional> #include <iomanip> #include <chrono> #include <random> #include <numeric> using namespace std; #define int long long typedef long long ll; typedef unsigned long long ull; //typedef unsigned __int128 HASH; typedef pair<int,int> pii; typedef pair<ll, ll> pll; typedef pair<ull, ull> pullull; typedef pair<ll,int> plli; typedef pair<double, int> pdbi; typedef pair<int,pii> pipii; typedef pair<ll,pll> plpll; typedef vector<int> vi; typedef vector<ll> vll; typedef vector<vi> vvi; typedef vector<vvi> vvvi; typedef vector<pii> vpii; typedef vector<vector<int>> mat; #define rep(i,n) for (int i=0;i<(n);i++) #define rep2(i,a,b) for (int i=(a);i<(b);i++) #define rrep(i,n) for (int i=(n);i>0;i--) #define rrep2(i,a,b) for (int i=(a);i>b;i--) #define pb push_back #define fi first #define se second #define all(a) (a).begin(),(a).end() #define rall(a) (a).rbegin(),(a).rend() const ll hmod1 = 999999937; const ll hmod2 = 1000000000 + 9; const int INF = 1<<30; const ll INFLL = 1LL<<62; const double EPS = 1e-12; const ll mod = 1000000000 + 7; const int dx4[4] = {1, 0, -1, 0}; const int dy4[4] = {0, 1, 0, -1}; const int dx8[8] = {1, 1, 1, 0, 0, -1, -1, -1}; const int dy8[8] = {0, 1, -1, 1, -1, 0, 1, -1}; const double pi = 3.141592653589793; #define addm(X, Y) (X) = ((X) + ((Y) % mod) + mod) % mod #define inside(y, x, h, w) (0 <= (y) && (y) < (h) && 0 <= (x) && (x) < (w)) ? true : false //debug #define DEBUG #define DUMPOUT cout #ifdef DEBUG #define dump(...) DUMPOUT<<#__VA_ARGS__<<" :["<<__FUNCTION__<<":"<<__LINE__<<"]"<<endl; DUMPOUT<<" "; dump_func(__VA_ARGS__) #else #define dump(...) #endif void dump_func() {DUMPOUT << endl;}; template <class Head, class... Tail> void dump_func(Head&& head, Tail&&... tail) { DUMPOUT << head; if (sizeof...(Tail) == 0) DUMPOUT << " "; else DUMPOUT << ", "; dump_func(std::move(tail)...); } //ostream template<typename T> ostream& operator << (ostream& os, vector<T>& vec) { os << "["; for (int i = 0; i<vec.size(); i++) os << vec[i] << (i + 1 == vec.size() ? "" : ", "); os << "]"; return os; } template<typename T, typename U> ostream& operator << (ostream& os, pair<T, U>& pair_var) { os << "(" << pair_var.first << ", " << pair_var.second << ")"; return os; } template<typename T, typename U> ostream& operator << (ostream& os, map<T, U>& map_var) { os << "["; for (auto itr = map_var.begin(); itr != map_var.end(); itr++) { os << "(" << itr->first << ", " << itr->second << ")"; itr++; if(itr != map_var.end()) os << ", "; itr--; } os << "]"; return os; } template<typename T> ostream& operator << (ostream& os, set<T>& set_var) { os << "["; for (auto itr = set_var.begin(); itr != set_var.end(); itr++) { os << *itr; ++itr; if(itr != set_var.end()) os << ", "; itr--; } os << "]"; return os; } int n; int q[100000 + 5]; int dp[100000 + 5]; bool prime[100000 + 5]; bool isPrime(ll x) { if (x == 2) return true; else if (x < 2 || x % 2 == 0) return false; else { for (int i = 3; i * i <= x; i += 2) { if (x % i == 0) return false; } } return true; } signed main() { cin.tie(0); ios::sync_with_stdio(false); cin >> n; rep(i, n) { cin >> q[i]; prime[i] = isPrime(q[i]); } q[n] = INFLL; dp[0] = 1; rep(i, n) { if (prime[i]) { if (i == n - 1) { addm(dp[i + 1], dp[i]); } else { if (prime[i + 1]) { if (q[i] < q[i + 1]) { addm(dp[i + 1], dp[i]); if (q[i] < q[i + 2]) { addm(dp[i + 2], dp[i]); } } else { if (q[i] < q[i + 2]) { addm(dp[i + 2], dp[i]); } } } else { if (q[i] < q[i + 2]) { addm(dp[i + 2], dp[i]); } } } } } cout << dp[n] << endl; }
#include <iostream> #include <string> #include <vector> #include <algorithm> #include <cmath> #include <cstdio> #include <functional> #include <numeric> #include <stack> #include <queue> #include <map> #include <set> #include <utility> #include <sstream> #include <complex> #include <fstream> #include <bitset> #include <time.h> #include <tuple> #include <iomanip> using namespace std; typedef long long ll; typedef unsigned long long ull; typedef pair<ll, ll> P; typedef vector<ll> V; typedef complex<double> Point; #define PI acos(-1.0) #define EPS 1e-10 const ll INF = 1e12; const ll MOD = 1e9 + 7; #define FOR(i,a,b) for(int i=(a);i<(b);i++) #define rep(i,N) for(int i=0;i<(N);i++) #define ALL(s) (s).begin(),(s).end() #define EQ(a,b) (abs((a)-(b))<EPS) #define EQV(a,b) ( EQ((a).real(), (b).real()) && EQ((a).imag(), (b).imag()) ) #define fi first #define se second #define N_SIZE (1LL << 20) #define NIL -1 ll sq(ll num) { return num*num; } ll mod_pow(ll x, ll n) { if (n == 0)return 1; if (n == 1)return x%MOD; ll res = sq(mod_pow(x, n / 2)); res %= MOD; if (n % 2 == 1) { res *= x; res %= MOD; } return res; } ll mod_add(ll a, ll b) { return (a + b) % MOD; } ll mod_sub(ll a, ll b) { return (a - b + MOD) % MOD; } ll mod_mul(ll a, ll b) { return a*b % MOD; } ll n; ll a[100100]; ll dp[2][1001000]; map<ll, ll> id; bool used[1001000]; vector<int> prime; bool is_prime[1001000]; int sieve(int n) {//n以下の素数の数を返す int p = 0; for (int i = 0; i <= n; i++)is_prime[i] = 1; is_prime[0] = is_prime[1] = 0; for (int i = 2; i <= n; i++) { if (is_prime[i]) { prime.push_back(i); id[i] = prime.size() - 1; for (int j = 2 * i; j <= n; j += i)is_prime[j] = 0; } } return p; } int main() { sieve(1001000); cin >> n; rep(i, n)cin >> a[i]; if (!is_prime[a[0]])cout << 0 << endl; else { dp[0][0] = 1; FOR(i, 1, n) { if (is_prime[a[i]]) { if (i > 1 && a[i] > a[i - 2])dp[0][i] = (dp[0][i] + dp[1][i - 1]) % MOD; if (a[i] > a[i - 1])dp[0][i] = (dp[0][i] + dp[0][i - 1]) % MOD; if (is_prime[a[i - 1]])dp[1][i] = (dp[1][i] + dp[0][i - 1]) % MOD; } else { if (is_prime[a[i - 1]])dp[1][i] = (dp[1][i] + dp[0][i - 1]) % MOD; } } cout << mod_add(dp[0][n - 1], dp[1][n - 1]) << endl; } }
#include <bits/stdc++.h> using namespace std; void eratosthenes(int N, int* arr){ for(int i=0; i < N; i++){ arr[i] = 1; } for(int i=2; i < sqrt(N); i++){ if(arr[i]){ for(int j=0; i * (j + 2) < N; j++){ arr[i*(j+2)] = 0; } } } } int main(void){ const int NMAX = 100002; const int QMAX = 1000001; const int MOD = 1e9+7; int dp[NMAX][2]; // dp[idx][自分が素因数(0)か肩(1)か] int isprime[QMAX]; for(int i = 0; i < NMAX; i++) for(int j = 0; j < 2; j++) dp[i][j] = 0; eratosthenes(QMAX, isprime); int N; cin >> N; vector<int> q(N); for(int i = 0; i < N; i++) cin >> q[i]; q.push_back(0); if(isprime[q[0]]) dp[0][0] = 1; for(int i = 0; i < N-1; i++){ for(int j = 0; j < 2; j++){ if(j == 0){ dp[i+1][1] = (dp[i+1][1] + dp[i][j]) % MOD; if(q[i+1] > q[i] && isprime[q[i+1]]){ dp[i+1][0] = (dp[i+1][0] + dp[i][j]) % MOD; } }else{ if((i == 0 || q[i+1] > q[i-1]) && isprime[q[i+1]]){ dp[i+1][0] = (dp[i+1][0] + dp[i][j]) % MOD; } } } } cout << (dp[N-1][0] + dp[N-1][1]) % MOD << endl; return 0; }
#include "bits/stdc++.h" using namespace std; typedef long long ll; typedef pair<int,int> pii; #define rep(i,n) for(ll i=0;i<(ll)(n);i++) #define all(a) (a).begin(),(a).end() #define pb emplace_back const ll MOD = (1e9+7); #define MAX_NUM 1000000 bool era[MAX_NUM+1]={false}; void makeERA(){ for(int i=2;i<MAX_NUM;i++){ if(era[i]==true){ int x=MAX_NUM/i; for(int j=2;j<=x;j++){ era[i*j]=false; } } } era[2]=true; } int main(){ for(int i=0;i<MAX_NUM;i++)era[i]=true; era[0]=false;era[1]=false; makeERA(); int n; cin>>n; vector<int> q(n); rep(i,n)cin>>q[i]; static ll dp[100001][2]; rep(i,100001)rep(j,2)dp[i][j] = 0; if(era[q[0]]){ dp[0][0] = 1; dp[1][1] = 1; } for(int i=1;i<n;i++){ rep(j,2){ rep(l,2){ if( era[q[i-j]] == false )dp[i][j] = 0; else{ if(i-1-j-l>=0 && q[i-j]>q[i-1-j-l]){ // cout<<i<<" "<<j<<" = "<<i-1-j<<" "<<l<<endl; (dp[i][j] += dp[i-1-j][l])%=MOD; } } } } } cout<<(dp[n-1][0] + dp[n-1][1])%MOD<<endl; }
#include<bits/stdc++.h> #define int long long using namespace std; bool prime[1000009]; void era(){ prime[0]=1; prime[1]=1; for(int i=2;i<1000009;i++){ if(!prime[i]){ for(int j=i+i;j<1000009;j+=i) prime[j]=1; } } } int dp[100009][2]; signed main(){ era(); int n; cin>>n; int a[n]; for(int i=0;i<n;i++)scanf("%ld",&a[i]); if(!prime[a[0]]){ dp[0][0]=1; dp[0][1]=1; } for(int i=0;i<n;i++){ // 1 if( i+1<n && a[i]<a[i+1] &&!prime[a[i+1]] )dp[i+1][0] += dp[i][0]; if( i+2<n && a[i]<a[i+1] &&!prime[a[i+1]] )dp[i+1][1] += dp[i][0]; // 2 if( i+2<n && a[i]<a[i+2] &&!prime[a[i+2]] )dp[i+2][0] += dp[i][1]; if( i+3<n && a[i]<a[i+2] &&!prime[a[i+2]] )dp[i+2][1] += dp[i][1]; dp[i+1][0]%=1000000007; dp[i+1][1]%=1000000007; dp[i+2][0]%=1000000007; dp[i+2][1]%=1000000007; } cout<<(dp[n-1][0]+dp[n-2][1])%1000000007<<endl; }