Hướng dẫn giải của Búp bê nga
Chỉ dùng lời giải này khi không có ý tưởng, và đừng copy-paste code từ lời giải này. Hãy tôn trọng người ra đề và người viết lời giải.
Nộp một lời giải chính thức trước khi tự giải là một hành động có thể bị ban.
Nộp một lời giải chính thức trước khi tự giải là một hành động có thể bị ban.
Lưu ý: Các code mẫu dưới đây chỉ mang tính tham khảo và có thể không AC được bài tập này
Code mẫu của happyboy99x
#include<algorithm> #include<iostream> #include<vector> using namespace std; struct Node { int lastSum, minSum; Node(int lastSum = 0, int minSum = 0): lastSum (lastSum), minSum (minSum) {} }; class SegmentTree { vector<Node> data; int n; void update(int k, int l, int r, int x, int delta) { if(!(l <= x && x < r)) return; if(l == x && r == x + 1) { data[k].lastSum += delta; data[k].minSum += delta; } else { int left = (k << 1) + 1, right = (k << 1) + 2, mid = (l + r) >> 1; update(left, l, mid, x, delta); update(right, mid, r, x, delta); data[k].lastSum = data[left].lastSum + data[right].lastSum; data[k].minSum = min(data[left].minSum, data[left].lastSum + data[right].minSum); } } public: SegmentTree(int n) { data.assign(4 * n, Node()); this->n = n; } void update(int x, int delta) { update(0, 0, n, x, delta); } int getMinAll() const { return data[0].minSum; } }; int main() { ios::sync_with_stdio(false); int n, m; cin >> n >> m; vector<int> a (n); for(int i = 0; i < n; ++i) cin >> a[i]; SegmentTree tree (++m); tree.update(a[0], 1); tree.update(a[1] - 1, -1); int res = tree.getMinAll() == 0 ? 1 : -1; for(int i = 1; 2 * i + 1 < n; ++i) { tree.update(a[i] - 1, 1); tree.update(a[i], 1); tree.update(a[2 * i] - 1, -1); tree.update(a[2 * i + 1] - 1, -1); if(tree.getMinAll() == 0) res = i + 1; } cout << res << endl; return 0; }
Code mẫu của ladpro98
#include <bits/stdc++.h> #define left k + k #define right k + k + 1 #define mid (l + r >> 1) const int N = 100005; using namespace std; int it[4 * N], lazy[4 * N], v[N], a[N]; int n, m; void build(int k, int l, int r) { if (l > r) return; if (l == r) {it[k] = v[l]; return;} build(left, l, mid); build(right, mid + 1, r); it[k] = min(it[left], it[right]); } void diffuse(int k, int l, int r) { if (lazy[k] == 0) return; it[k] += lazy[k]; if (l != r) { lazy[left] += lazy[k]; lazy[right] += lazy[k]; } lazy[k] = 0; } void upd(int k, int l, int r, int i, int j, int v) { diffuse(k, l, r); if (l > r || r < i || j < l) return; if (i <= l && r <= j) {lazy[k] = v; diffuse(k, l, r); return;} upd(left, l, mid, i, j, v); upd(right, mid + 1, r, i, j, v); it[k] = min(it[left], it[right]); } int get(int k, int l, int r, int i) { diffuse(k, l, r); if (l == r) return it[k]; if (mid >= i) return get(left, l, mid, i); else return get(right, mid + 1, r, i); } void dbg() { for(int i = 1; i <= m; i++) printf("%d ", get(1, 1, m, i)); printf("\n"); } int main() { scanf("%d %d", &n, &m); int cen = n / 2; int i, k; for(i = 1; i <= n; i++) { scanf("%d", a + i); if (i <= cen) v[a[i]]++; else v[a[i] - 1]--; } for(i = 1; i <= m; i++) v[i] += v[i - 1]; build(1, 1, m); //dbg(); for(k = n / 2; k; k--) { if (it[1] >= 0) break; upd(1, 1, m, a[k], m, -1); //pop a[k] from the left upd(1, 1, m, a[k] - 1, m, -1); //push a[k] to the right upd(1, 1, m, a[k + k] - 1, m, 1); //pop the two rightmost out upd(1, 1, m, a[k + k - 1] - 1, m, 1); //dbg(); } if (k == 0) k--; printf("%d", k); return 0; }
Code mẫu của RR
#include <sstream> #include <iomanip> #include <iostream> #include <cstdio> #include <cstring> #include <cstdlib> #include <cmath> #include <algorithm> #include <vector> #include <set> #include <map> #include <stack> #include <queue> #include <string> #include <deque> #include <complex> #define FOR(i,a,b) for(int i=(a),_b=(b); i<=_b; i++) #define FORD(i,a,b) for(int i=(a),_b=(b); i>=_b; i--) #define REP(i,a) for(int i=0,_a=(a); i<_a; i++) #define FORN(i,a,b) for(int i=(a),_b=(b);i<_b;i++) #define DOWN(i,a,b) for(int i=a,_b=(b);i>=_b;i--) #define SET(a,v) memset(a,v,sizeof(a)) #define sqr(x) ((x)*(x)) #define ll long long #define F first #define S second #define PB push_back #define MP make_pair #define DEBUG(x) cout << #x << " = "; cout << x << endl; #define PR(a,n) cout << #a << " = "; FOR(_,1,n) cout << a[_] << ' '; cout << endl; #define PR0(a,n) cout << #a << " = "; REP(_,n) cout << a[_] << ' '; cout << endl; using namespace std; //Buffer reading int INP,AM,REACHEOF; #define BUFSIZE (1<<12) char BUF[BUFSIZE+1], *inp=BUF; #define GETCHAR(INP) { \ if(!*inp) { \ if (REACHEOF) return 0;\ memset(BUF,0,sizeof BUF);\ int inpzzz = fread(BUF,1,BUFSIZE,stdin);\ if (inpzzz != BUFSIZE) REACHEOF = true;\ inp=BUF; \ } \ INP=*inp++; \ } #define DIG(a) (((a)>='0')&&((a)<='9')) #define GN(j) { \ AM=0;\ GETCHAR(INP); while(!DIG(INP) && INP!='-') GETCHAR(INP);\ if (INP=='-') {AM=1;GETCHAR(INP);} \ j=INP-'0'; GETCHAR(INP); \ while(DIG(INP)){j=10*j+(INP-'0');GETCHAR(INP);} \ if (AM) j=-j;\ } //End of buffer reading const long double PI = acos((long double) -1.0); const int MN = 100111; int a[MN], c[MN], first[MN], last[MN]; int sum[MN*8], minsum[MN*8]; int n, m; #define CT(x) ((x)<<1) #define CP(x) (CT(x) + 1) void update(int i, int l, int r, int u, int k) { if (u < l || r < u) return ; if (l == r) { sum[i] += k; minsum[i] = sum[i]; return ; } int mid = (l + r) >> 1; update(CT(i), l, mid, u, k); update(CP(i), mid+1, r, u, k); sum[i] = sum[CT(i)] + sum[CP(i)]; minsum[i] = min(minsum[CT(i)], sum[CT(i)] + minsum[CP(i)]); } int main() { GN(n); GN(m); FOR(i,1,n) { GN(a[i]); c[i] = a[i]; } sort(c+1, c+n+1); FOR(i,1,n) last[c[i]] = i; FORD(i,n,1) first[c[i]] = i; int res = -1; FOR(i,1,n/2) { int ii = i << 1; if (i == 1) { update(1, 1, n, last[a[1]]--, 1); update(1, 1, n, first[a[2]]++, -1); } else { // Remove a[i] from second part update(1, 1, n, --first[a[i]], 1); // Add a[i] to first part update(1, 1, n, last[a[i]]--, 1); // Add a[ii-1] & a[ii-2] to second part update(1, 1, n, first[a[ii]]++, -1); update(1, 1, n, first[a[ii-1]]++, -1); } if (minsum[1] >= 0) { res = i; } } cout << res << endl; return 0; }
Code mẫu của hieult
#include <set> #include <map> #include <list> #include <cmath> #include <ctime> #include <deque> #include <queue> #include <stack> #include <bitset> #include <cctype> #include <cstdio> #include <string> #include <vector> #include <cassert> #include <cstdlib> #include <cstring> #include <sstream> #include <iomanip> #include <iostream> #include <algorithm> using namespace std; typedef long long ll; typedef long double ld; typedef unsigned int ui; typedef unsigned long long ull; #define Rep(i,n) for(__typeof(n) i = 0; i < (n); ++i) #define Repd(i,n) for(__typeof(n) i = (n)-1; i >= 0; --i) #define For(i,a,b) for(__typeof(b) i = (a); i <= (b); ++i) #define Ford(i,a,b) for(__typeof(a) i = (a); i >= (b); --i) #define Fit(i,v) for(__typeof((v).begin()) i = (v).begin(); i != (v).end(); ++i) #define Fitd(i,v) for(__typeof((v).rbegin()) i = (v).rbegin(); i != (v).rend(); ++i) #define mp make_pair #define pb push_back #define fi first #define se second #define sz(a) ((int)(a).size()) #define all(a) (a).begin(), (a).end() #define ms(a,x) memset(a, x, sizeof(a)) #define nl puts("") #define sp printf(" ") #define ok puts("ok") //#include <conio.h> template<class F, class T> T convert(F a, int p = -1) { stringstream ss; if (p >= 0) ss << fixed << setprecision(p); ss << a; T r; ss >> r; return r; } template<class T> void db(T a, int p = -1) { if (p >= 0) cout << fixed << setprecision(p); cout << a << " "; } template<class T> T gcd(T a, T b) { T r; while (b != 0) { r = a % b; a = b; b = r; } return a; } template<class T> T lcm(T a, T b) { return a / gcd(a, b) * b; } template<class T> T sqr(T x) { return x * x; } template<class T> T cube(T x) { return x * x * x; } template<class T> struct Triple { T x, y, z; Triple() {} Triple(T _x, T _y, T _z) : x(_x), y(_y), z(_z) {} }; template<class T> Triple<T> euclid(T a, T b) { if (b == 0) return Triple<T>(1, 0, a); Triple<T> r = euclid(b, a % b); return Triple<T>(r.y, r.x - a / b * r.y, r.z); } template<class T> int getbit(T s, int i) { return (s >> i) & 1; } template<class T> T onbit(T s, int i) { return s | (T(1) << i); } template<class T> T offbit(T s, int i) { return s & (~(T(1) << i)); } template<class T> int cntbit(T s) { return s == 0 ? 0 : cntbit(s >> 1) + (s & 1); } const int bfsz = 1 << 16; char bf[bfsz + 5]; int rsz = 0;int ptr = 0; char gc() { if (rsz <= 0) { ptr = 0; rsz = fread(bf, 1, bfsz, stdin); if (rsz <= 0) return EOF; } --rsz; return bf[ptr++]; } void ga(char &c) { c = EOF; while (!isalpha(c)) c = gc(); } int gs(char s[]) { int l = 0; char c = gc(); while (isspace(c)) c = gc(); while (c != EOF && !isspace(c)) { s[l++] = c; c = gc(); } s[l] = '\0'; return l; } template<class T> bool gi(T &v) { v = 0; char c = gc(); while (c != EOF && c != '-' && !isdigit(c)) c = gc(); if (c == EOF) return false; bool neg = c == '-'; if (neg) c = gc(); while (isdigit(c)) { v = v * 10 + c - '0'; c = gc(); } if (neg) v = -v; return true; } const double PI = 2 * acos(0); const string months[] = {"January", "February", "March", "April", "May", "June", "July", "August", "September", "October", "November", "December"}; const int days[] = {31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31}; const int dr[] = {0, 0, -1, +1}; const int dc[] = {-1, +1, 0, 0}; const int inf = (int)1e9 + 5; const ll linf = (ll)1e16 + 5; const double eps = ld(1e-12); const ll mod = 100000007; typedef pair<int, int> II; #define maxn 100005 using namespace std; int n, m, dt[maxn * 6] = {0}, f[maxn * 6] = {0}, a[maxn], g[maxn]; void updateMax(int id){ f[id] = max(dt[2*id] + f[2*id], dt[2*id + 1] + f[2*id + 1]); } void updateValue(int id){ dt[2*id] += dt[id]; dt[2*id + 1] += dt[id]; dt[id] = 0; } void update(int id,int l,int r,int u,int v,int add){ int mid; if(u > r || v < l) return; if(u <= l && v >= r){ dt[id] += add; return; } updateValue(id); mid = (l + r) >> 1; update(2*id, l, mid, u, v, add); update(2*id + 1, mid + 1, r, u, v, add); updateMax(id); } int getmax(int id,int l,int r,int u,int v){ int mid, t1, t2; if(u > r || v < l) return -inf; updateValue(id); if(u <= l && v >= r){ updateMax(id); return f[id]; } mid = (l + r) >> 1; t1 = getmax(2*id , l, mid, u, v); t2 = getmax(2*id + 1, mid + 1, r, u, v); updateMax(id); return max(t1, t2); } int main(){ // freopen("in.txt", "r", stdin); // freopen("out.txt", "w", stdout); gi(n); gi(m); Rep(i, n) gi(a[i + 1]); //ms(dt, 0); ms(f, 0); int res = -1; update(1, 1, m + 1, a[1] + 1, m + 1, -1); update(1, 1, m + 1, a[2], m + 1, +1); if(getmax(1, 1, m + 1, 1, m + 1) <= 0) res = 1; For(i, 2, n / 2){ update(1, 1, m + 1, a[i] + 1, m + 1, -1); update(1, 1, m + 1, a[i], m + 1, -1); update(1, 1, m + 1, a[i + i - 1], m + 1, 1); update(1, 1, m + 1, a[i + i], m + 1, 1); if(getmax(1, 1, m + 1, 1, m + 1) <= 0) res = i; } printf("%d\n", res); // cout << clock() << endl; // getch(); }
Code mẫu của skyvn97
#include<cassert> #include<cstdio> #include<vector> #define MAX 100100 #define FOR(i,a,b) for (int i=(a);i<=(b);i=i+1) #define FORD(i,b,a) for (int i=(b);i>=(a);i=i-1) using namespace std; const int INF=(int)1e6+7; class IT { private: vector<int> tree,lazy; int n; public: IT() { n=0; tree.clear(); lazy.clear(); } IT(int _n) { n=_n; tree=vector<int>(4*n+7,0); lazy=vector<int>(4*n+7,0); } private: void pushdown(int i) { tree[2*i]+=lazy[i]; tree[2*i+1]+=lazy[i]; lazy[2*i]+=lazy[i]; lazy[2*i+1]+=lazy[i]; lazy[i]=0; } void update(int i,int l,int r,int u,int v,int c) { if (l>v) return; if (r<u) return; if (l>r) return; if (v<u) return; if (u<=l && r<=v) { tree[i]+=c; lazy[i]+=c; return; } pushdown(i); int m=(l+r)/2; update(2*i,l,m,u,v,c); update(2*i+1,m+1,r,u,v,c); tree[i]=min(tree[2*i],tree[2*i+1]); } public: void update(int val,int d) { update(1,1,n,1,val,d); } int getmin(void) const { return (tree[1]); } }; int a[MAX]; int n; IT it; void init(void) { int m; scanf("%d",&n); scanf("%d",&m); it=IT(m); FOR(i,1,n) scanf("%d",&a[i]); FOR(i,1,n/2) it.update(a[i],-1); FOR(i,n/2+1,n) it.update(a[i]-1,1); } void process(void) { if (it.getmin()>=0) { printf("%d",n/2); return; } FORD(i,n/2-1,1) { it.update(a[2*i+1]-1,-1); it.update(a[2*i+2]-1,-1); it.update(a[i+1],1); it.update(a[i+1]-1,1); if (it.getmin()>=0) { printf("%d",i); return; } } printf("-1"); } int main(void) { init(); process(); return 0; }
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