#include<bits/stdc++.h> #include <ext/pb_ds/assoc_container.hpp> #include <ext/pb_ds/tree_policy.hpp> #define rep(i,poczatek,koniec) for(__typeof(koniec) i = poczatek; i<=koniec; ++i) #define repr(i,poczatek,koniec) for(__typeof(koniec) i = poczatek; i>=koniec; --i) #define pb push_back #define pob pop_back #define eb emplace_back #define pf push_front #define pof pop_front #define st first #define nd second #define bend(X) X.begin(),X.end() #define sz(X) (int(X.size())) #define graph vector<node> #define print cout<< #ifdef LOCAL #define nl endl #define dbg(x) cout << #x << " = " << x << ' '; #define say(x) cout << x #else #define nl '\n' #define dbg(x) #define say(x) #endif using namespace std; using namespace __gnu_pbds; using ll = long long; using ull = unsigned long long; using ld = long double; using pii = pair<int,int>; using pll = pair<ll,ll>; using pli = pair<ll,int>; using vb = vector<bool>; using vc = vector<char>; using vi = vector<int>; using vl = vector<ll>; using vpi = vector<pii>; using vpl = vector<pll>; using vvi = vector<vi>; using vvl = vector<vl>; using vvb = vector<vb>; template <typename T> using ordered_set = tree<T, null_type, less<T>, rb_tree_tag,tree_order_statistics_node_update>; template<typename T1, typename T2> istream& operator>>(istream& is, pair<T1,T2>& x){ is >> x.st >> x.nd; return is; } template<typename T1, typename T2> ostream& operator<<(ostream& os, pair<T1,T2>& x){ os << '(' << x.st << ',' << x.nd << ')'; return os; } template<typename T> istream& operator>>(istream& is, vector<T>& x){ for(T& i : x)is >> i; return is; } template<typename T> ostream& operator<<(ostream& os, vector<T> x){ for(T& i : x)os << i << ' '; return os; } template<typename T1, typename T2> pair<T1,T2> operator+(const pair<T1,T2>& A, const pair<T1,T2>& B){ return {A.st + B.st, A.nd + B.nd}; } template<typename T1, typename T2> pair<T1,T2> operator-(const pair<T1,T2>& A, const pair<T1,T2>& B){ return {A.st - B.st, A.nd - B.nd}; } template<typename T1, typename T2> pair<T1,T2> operator-(const pair<T1,T2>& A){ return {-A.st, -A.nd}; } template<typename T1, typename T2> void mine(T1& A, const T2& B){if(B < A) A = B;} template<typename T1, typename T2> void maxe(T1& A, const T2& B){if(B > A) A = B;} const int INF = (int)2e9; const ll INFll = (ll)9e18; const int MOD = (int)1e9+7; int R(int pocz, int kon){ return (rand()%(kon-pocz+1) + pocz); } ll RR(ll pocz, ll kon){ return ((ll((rand()) << 30) + rand())/(kon-pocz+1) + pocz); } void fastDataTransfer(){ ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); } const int N = (int)1e7+5; ll n, m, a, b, c, d, q, k, suma, suma2; ll pocz[N], kon[N], nPocz[N], nKon[N]; void read(){ cin >> m >> n >> k; } void dodaj(ll& lic, ll war){ lic+=war; if(lic >= k) lic-=k; if(lic >= k || lic < 0) lic%=k; if(lic < 0) lic += k; } void zamienIObliczPref(){ suma = suma2; suma2 = 0; repr(i, n, 1){ pocz[i] = pocz[i+1] + nPocz[i]; dodaj(pocz[i], 0); nPocz[i]=0; } rep(i, 1, n){ kon[i] = kon[i-1] + nKon[i]; dodaj(kon[i], 0); nKon[i] = 0; } } void solve(){ rep(i,1,n){ dodaj(nPocz[i], n-i+1); dodaj(suma2, n-i+1); } repr(i,n,1){ dodaj(nKon[i], i); } zamienIObliczPref(); rep(deska, 2, m){ ll war = 0; repr(i,n,1){ dodaj(war, pocz[i+1]); ll val = (suma-kon[i-1])*(n-i+1)-war; dodaj(nPocz[i],val); dodaj(suma2,nPocz[i]); } war = 0; rep(i,1,n){ dodaj(war,kon[i-1]); ll val = (suma-pocz[i+1])*i - war; dodaj(nKon[i],val); } zamienIObliczPref(); } dodaj(suma, 0); print suma << nl; } int main(){ fastDataTransfer(); int testCases = 1; // cin >> testCases; rep(testNumber, 1, testCases){ read(); solve(); } }
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 | #include<bits/stdc++.h> #include <ext/pb_ds/assoc_container.hpp> #include <ext/pb_ds/tree_policy.hpp> #define rep(i,poczatek,koniec) for(__typeof(koniec) i = poczatek; i<=koniec; ++i) #define repr(i,poczatek,koniec) for(__typeof(koniec) i = poczatek; i>=koniec; --i) #define pb push_back #define pob pop_back #define eb emplace_back #define pf push_front #define pof pop_front #define st first #define nd second #define bend(X) X.begin(),X.end() #define sz(X) (int(X.size())) #define graph vector<node> #define print cout<< #ifdef LOCAL #define nl endl #define dbg(x) cout << #x << " = " << x << ' '; #define say(x) cout << x #else #define nl '\n' #define dbg(x) #define say(x) #endif using namespace std; using namespace __gnu_pbds; using ll = long long; using ull = unsigned long long; using ld = long double; using pii = pair<int,int>; using pll = pair<ll,ll>; using pli = pair<ll,int>; using vb = vector<bool>; using vc = vector<char>; using vi = vector<int>; using vl = vector<ll>; using vpi = vector<pii>; using vpl = vector<pll>; using vvi = vector<vi>; using vvl = vector<vl>; using vvb = vector<vb>; template <typename T> using ordered_set = tree<T, null_type, less<T>, rb_tree_tag,tree_order_statistics_node_update>; template<typename T1, typename T2> istream& operator>>(istream& is, pair<T1,T2>& x){ is >> x.st >> x.nd; return is; } template<typename T1, typename T2> ostream& operator<<(ostream& os, pair<T1,T2>& x){ os << '(' << x.st << ',' << x.nd << ')'; return os; } template<typename T> istream& operator>>(istream& is, vector<T>& x){ for(T& i : x)is >> i; return is; } template<typename T> ostream& operator<<(ostream& os, vector<T> x){ for(T& i : x)os << i << ' '; return os; } template<typename T1, typename T2> pair<T1,T2> operator+(const pair<T1,T2>& A, const pair<T1,T2>& B){ return {A.st + B.st, A.nd + B.nd}; } template<typename T1, typename T2> pair<T1,T2> operator-(const pair<T1,T2>& A, const pair<T1,T2>& B){ return {A.st - B.st, A.nd - B.nd}; } template<typename T1, typename T2> pair<T1,T2> operator-(const pair<T1,T2>& A){ return {-A.st, -A.nd}; } template<typename T1, typename T2> void mine(T1& A, const T2& B){if(B < A) A = B;} template<typename T1, typename T2> void maxe(T1& A, const T2& B){if(B > A) A = B;} const int INF = (int)2e9; const ll INFll = (ll)9e18; const int MOD = (int)1e9+7; int R(int pocz, int kon){ return (rand()%(kon-pocz+1) + pocz); } ll RR(ll pocz, ll kon){ return ((ll((rand()) << 30) + rand())/(kon-pocz+1) + pocz); } void fastDataTransfer(){ ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); } const int N = (int)1e7+5; ll n, m, a, b, c, d, q, k, suma, suma2; ll pocz[N], kon[N], nPocz[N], nKon[N]; void read(){ cin >> m >> n >> k; } void dodaj(ll& lic, ll war){ lic+=war; if(lic >= k) lic-=k; if(lic >= k || lic < 0) lic%=k; if(lic < 0) lic += k; } void zamienIObliczPref(){ suma = suma2; suma2 = 0; repr(i, n, 1){ pocz[i] = pocz[i+1] + nPocz[i]; dodaj(pocz[i], 0); nPocz[i]=0; } rep(i, 1, n){ kon[i] = kon[i-1] + nKon[i]; dodaj(kon[i], 0); nKon[i] = 0; } } void solve(){ rep(i,1,n){ dodaj(nPocz[i], n-i+1); dodaj(suma2, n-i+1); } repr(i,n,1){ dodaj(nKon[i], i); } zamienIObliczPref(); rep(deska, 2, m){ ll war = 0; repr(i,n,1){ dodaj(war, pocz[i+1]); ll val = (suma-kon[i-1])*(n-i+1)-war; dodaj(nPocz[i],val); dodaj(suma2,nPocz[i]); } war = 0; rep(i,1,n){ dodaj(war,kon[i-1]); ll val = (suma-pocz[i+1])*i - war; dodaj(nKon[i],val); } zamienIObliczPref(); } dodaj(suma, 0); print suma << nl; } int main(){ fastDataTransfer(); int testCases = 1; // cin >> testCases; rep(testNumber, 1, testCases){ read(); solve(); } } |