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- #include <bits/stdc++.h>
- using namespace std;
- typedef long long ll;
- typedef long double ld;
- typedef double db;
- typedef string str;
- typedef pair<int,int> pi;
- typedef pair<ll,ll> pl;
- typedef pair<db,db> pd;
- typedef vector<int> vi;
- typedef vector<bool> vb;
- typedef vector<ll> vl;
- typedef vector<db> vd;
- typedef vector<str> vs;
- typedef vector<pi> vpi;
- typedef vector<pl> vpl;
- typedef vector<pd> vpd;
- template<class T> using V = vector<T>;
- template<class T, size_t SZ> using AR = array<T,SZ>;
- #define mp make_pair
- #define f first
- #define s second
- #define sz(x) (int)(x).size()
- #define all(x) begin(x), end(x)
- #define rall(x) (x).rbegin(), (x).rend()
- #define sor(x) sort(all(x))
- #define rsz resize
- #define ins insert
- #define ft front()
- #define bk back()
- #define pf push_front
- #define pb push_back
- #define eb emplace_back
- #define lb lower_bound
- #define ub upper_bound
- #define FOR(i,a,b) for (int i = (a); i < (b); ++i)
- #define F0R(i,a) FOR(i,0,a)
- #define For(i,a) FOR(i,0,a)
- #define ROF(i,a,b) for (int i = (b)-1; i >= (a); --i)
- #define R0F(i,a) ROF(i,0,a)
- #define Rof(i,a) ROF(i,0,a);
- #define trav(a,x) for (auto& a: x)
- template<class T> bool ckmin(T& a, const T& b) {
- return b < a ? a = b, 1 : 0; }
- template<class T> bool ckmax(T& a, const T& b) {
- return a < b ? a = b, 1 : 0; }
- constexpr int pct(int x) { return __builtin_popcount(x); }
- constexpr int bits(int x) { return 31-__builtin_clz(x); } // floor(log2(x))
- ll cdiv(ll a, ll b) { return a/b+((a^b)>0&&a%b); } // divide a by b rounded up
- ll fdiv(ll a, ll b) { return a/b-((a^b)<0&&a%b); } // divide a by b rounded down
- ll half(ll x) { return fdiv(x,2); }
- template<class T, class U> T fstTrue(T lo, T hi, U f) {
- // note: if (lo+hi)/2 is used instead of half(lo+hi) then this will loop infinitely when lo=hi
- hi ++; assert(lo <= hi); // assuming f is increasing
- while (lo < hi) { // find first index such that f is true
- T mid = half(lo+hi);
- f(mid) ? hi = mid : lo = mid+1;
- }
- return lo;
- }
- template<class T, class U> T lstTrue(T lo, T hi, U f) {
- lo --; assert(lo <= hi); // assuming f is decreasing
- while (lo < hi) { // find first index such that f is true
- T mid = half(lo+hi+1);
- f(mid) ? lo = mid : hi = mid-1;
- }
- return lo;
- }
- template<class T> void remDup(vector<T>& v) {
- sort(all(v)); v.erase(unique(all(v)),end(v)); }
- // INPUT
- template<class A> void re(complex<A>& c);
- template<class A, class B> void re(pair<A,B>& p);
- template<class A> void re(vector<A>& v);
- template<class A, size_t SZ> void re(array<A,SZ>& a);
- template<class T> void re(T& x) { cin >> x; }
- void re(db& d) { str t; re(t); d = stod(t); }
- void re(ld& d) { str t; re(t); d = stold(t); }
- template<class H, class... T> void re(H& h, T&... t) { re(h); re(t...); }
- template<class A> void re(complex<A>& c) { A a,b; re(a,b); c = {a,b}; }
- template<class A, class B> void re(pair<A,B>& p) { re(p.f,p.s); }
- template<class A> void re(vector<A>& x) { trav(a,x) re(a); }
- template<class A, size_t SZ> void re(array<A,SZ>& x) { trav(a,x) re(a); }
- // TO_STRING
- #define ts to_string
- str ts(char c) { return str(1,c); }
- str ts(const char* s) { return (str)s; }
- str ts(str s) { return s; }
- str ts(bool b) {
- #ifdef LOCAL
- return b ? "true" : "false";
- #else
- return ts((int)b);
- #endif
- }
- template<class A> str ts(complex<A> c) {
- stringstream ss; ss << c; return ss.str(); }
- str ts(vector<bool> v) {
- str res = "{"; F0R(i,sz(v)) res += char('0'+v[i]);
- res += "}"; return res; }
- template<size_t SZ> str ts(bitset<SZ> b) {
- str res = ""; F0R(i,SZ) res += char('0'+b[i]);
- return res; }
- template<class A, class B> str ts(pair<A,B> p);
- template<class T> str ts(T v) { // containers with begin(), end()
- #ifdef LOCAL
- bool fst = 1; str res = "{";
- for (const auto& x: v) {
- if (!fst) res += ", ";
- fst = 0; res += ts(x);
- }
- res += "}"; return res;
- #else
- bool fst = 1; str res = "";
- for (const auto& x: v) {
- if (!fst) res += " ";
- fst = 0; res += ts(x);
- }
- return res;
- #endif
- }
- template<class A, class B> str ts(pair<A,B> p) {
- #ifdef LOCAL
- return "("+ts(p.f)+", "+ts(p.s)+")";
- #else
- return ts(p.f)+" "+ts(p.s);
- #endif
- }
- // OUTPUT
- template<class A> void pr(A x) { cout << ts(x); }
- template<class H, class... T> void pr(const H& h, const T&... t) {
- pr(h); pr(t...); }
- void ps() { pr("\n"); } // print w/ spaces
- template<class H, class... T> void ps(const H& h, const T&... t) {
- pr(h); if (sizeof...(t)) pr(" "); ps(t...); }
- // DEBUG
- void DBG() { cerr << "]" << endl; }
- template<class H, class... T> void DBG(H h, T... t) {
- cerr << ts(h); if (sizeof...(t)) cerr << ", ";
- DBG(t...); }
- #ifdef LOCAL // compile with -DLOCAL, chk -> fake assert
- #define dbg(...) cerr << "Line(" << __LINE__ << ") -> [" << #__VA_ARGS__ << "]: [", DBG(__VA_ARGS__)
- #define chk(...) if (!(__VA_ARGS__)) cerr << "Line(" << __LINE__ << ") -> function(" \
- << __FUNCTION__ << ") -> CHK FAILED: (" << #__VA_ARGS__ << ")" << "\n", exit(0);
- #else
- #define dbg(...) 0
- #define chk(...) 0
- #endif
- int gcd(int a, int b) {if (b == 0)return a;return gcd(b, a % b);}
- // FILE I/O
- void setIn(str s) { freopen(s.c_str(),"r",stdin); }
- void setOut(str s) { freopen(s.c_str(),"w",stdout); }
- void unsyncIO() { cin.tie(0)->sync_with_stdio(0); }
- void setIO(str s = "cbarn") {
- unsyncIO();
- // cin.exceptions(cin.failbit);
- // throws exception when do smth illegal
- // ex. try to read letter into int
- if (sz(s)) { setIn(s+".in"), setOut(s+".out"); } // for USACO
- }
- const int MOD = 1e9+7; // 998244353;
- const int MX = 1e3+5;
- const ll INF = 1e18;
- //const ld PI = acos((ld)-1);
- const int xd[4] = {1,0,-1,0}, yd[4] = {0,1,0,-1};
- //mt19937 rng((uint32_t)chrono::steady_clock::now().time_since_epoch().count());
- int n, k;
- ll ret=INF,w[MX][MX], r[MX];
- ll solve(int ind){//automatically have an entrance at ind
- ll arr[n];
- For(i,n)arr[i]=r[(ind+i)%n];
- pl dp[n+1][k+1];//(cnt, last entrance)
- For(i,n+1)For(j,k+1)dp[i][j]=mp(INF/2,-1);
- dp[0][1]=mp(0,0);
- FOR(i,1,n)dp[i][1]=mp(w[ind][(i+ind+n)%n],0);
- FOR(i,1,n){
- FOR(j,2,k+1){
- dp[i][j]=mp(dp[i-1][j].f+arr[i]*(i-dp[i-1][j].s),dp[i-1][j].s);
- if(dp[i-1][j-1].f<=dp[i][j].f)dp[i][j]=mp(dp[i-1][j-1].f,i);//make a new entrance here?
- ll last=dp[i-1][j].s;
- while(dp[last][j-1].f+w[(last+1+ind+n)%n][(i+ind+n)%n]<=dp[i][j].f){//see if can move last up
- dp[i][j]=mp(dp[last][j-1].f+w[(last+1+ind+n)%n][(i+ind+n)%n],last+1);
- last++;
- }
- }
- }
- return dp[n-1][k].f;
- }
- int main() {
- setIO();
- re(n,k);
- For(i,n)re(r[i]);
- For(i,n)For(j,n)w[i][j]=INF;
- For(i,n){
- w[i][i]=0;
- FOR(j,i+1,i+n){
- w[i][j%n]=w[i][(j-1+n)%n]+(j-i)*r[(j%n)];
- }
- }
- For(i,n){
- ckmin(ret,solve(i));
- }
- ps(ret);
- // you should actually read the stuff at the bottom
- }
- /* stuff you should look for
- * int overflow, array bounds
- * special cases (n=1?)
- * do smth instead of nothing and stay organized
- * WRITE STUFF DOWN
- * DON'T GET STUCK ON ONE APPROACH
- */
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