#include<bits/stdc++.h>
using namespace std;
#define MOD 1000000007
pair<long long, long long> jump[500007][22];
int Agtone[500007];
int Bgtone[500007];
int lastA = 0;
int lastB = 0;
vector<pair<long long, long long>> WYD;
vector<long long> PREF;
void solve(){
long long X, L, R; cin >> X >> L >> R;
bool MODULOED = false;
int pos = L+1;
if(X == 0){
if(Agtone[pos] != -1){
pos = Agtone[pos];
if(pos <= R){
X+=WYD[pos].first;
if(X >= MOD){
MODULOED = true;
X%=MOD;
}
}
}
else{
cout << 0 << "\n";
return;
}
pos++;
}
//cerr << "POS: "<<pos << " " << X << "\n";
while(pos <= R && !MODULOED){
//cerr << "POS: "<<pos << " " << X << "\n";
if(Bgtone[pos] != -1){
int newpos = Bgtone[pos];
if(newpos <= R){
X+=PREF[newpos-1]-PREF[pos-1];
if(newpos <= R){
if(X*WYD[newpos].second > X+WYD[newpos].first)
X*=WYD[newpos].second;
else
X+=WYD[newpos].first;
if(X >= MOD){
MODULOED = true;
X%=MOD;
}
}
pos = newpos;
}
else{
X+=PREF[R]-PREF[pos-1];
if(X >= MOD){
MODULOED = true;
X%=MOD;
}
pos = R;
}
}
else{
X+=PREF[R]-PREF[pos-1];
if(X >= MOD){
MODULOED = true;
X%=MOD;
}
pos = R;
}
pos++;
}
int TARGET = R+1;
for(int i = 20; i >= 0; --i){
if(pos+(1 << i) <= TARGET){
X*=jump[pos][i].first;
X%=MOD;
X+=jump[pos][i].second;
X%=MOD;
pos+=(1 << i);
}
}
cout << X<< "\n";
}
int main(){
ios_base::sync_with_stdio(0); cin.tie(0);
int N, Q; cin >> N >> Q;
WYD.push_back({0,0});
PREF.push_back(0);
for(int l = 0; l < 500007; ++l){
Agtone[l]=-1;
Bgtone[l]=-1;
}
for(int i = 1; i <= N; ++i){
long long A, B; cin >> A >> B;
if(A > 0){
for(int z = lastA; z <= i; ++z){
Agtone[z]=i;
}
lastA=i+1;
}
if(B > 1){
for(int z = lastB; z <= i; ++z){
Bgtone[z]=i;
}
lastB = i+1;
}
WYD.push_back({A, B});
PREF.push_back(PREF[PREF.size()-1]+A);
}
for(int i = 1; i <= N; ++i){
if(WYD[i].second > 1){
jump[i][0]={WYD[i].second, 0};
}
else
jump[i][0]={1, WYD[i].first};
}
for(int j = 1; j <= 20; ++j){
for(int i = 1; i <= N; ++i){
long long Af = jump[i][j-1].first;
long long As = jump[i][j-1].second;
if(i+(1 << (j-1)) <= N){
long long Bf = jump[i+(1 << (j-1))][j-1].first;
long long Bs = jump[i+(1 << (j-1))][j-1].second;
long long Ans1 = 0;
long long Ans2 = 0;
Ans2+=Bs;
Ans2+=(As*Bf);
Ans1+= Af*Bf;
Ans1+=Ans2/MOD;
Ans2%=MOD;
Ans1%=MOD;
jump[i][j]={Ans1, Ans2};
}
else{
jump[i][j]={Af, As};
}
}
}
/*for(int k = 0; k < 4; ++k){
for(int i = 1; i <= N; ++i){
cout << jump[i][k].first << " " << jump[i][k].second << " | ";
}
cout << "\n";
}*/
while(Q--){
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 | #include<bits/stdc++.h> using namespace std; #define MOD 1000000007 pair<long long, long long> jump[500007][22]; int Agtone[500007]; int Bgtone[500007]; int lastA = 0; int lastB = 0; vector<pair<long long, long long>> WYD; vector<long long> PREF; void solve(){ long long X, L, R; cin >> X >> L >> R; bool MODULOED = false; int pos = L+1; if(X == 0){ if(Agtone[pos] != -1){ pos = Agtone[pos]; if(pos <= R){ X+=WYD[pos].first; if(X >= MOD){ MODULOED = true; X%=MOD; } } } else{ cout << 0 << "\n"; return; } pos++; } //cerr << "POS: "<<pos << " " << X << "\n"; while(pos <= R && !MODULOED){ //cerr << "POS: "<<pos << " " << X << "\n"; if(Bgtone[pos] != -1){ int newpos = Bgtone[pos]; if(newpos <= R){ X+=PREF[newpos-1]-PREF[pos-1]; if(newpos <= R){ if(X*WYD[newpos].second > X+WYD[newpos].first) X*=WYD[newpos].second; else X+=WYD[newpos].first; if(X >= MOD){ MODULOED = true; X%=MOD; } } pos = newpos; } else{ X+=PREF[R]-PREF[pos-1]; if(X >= MOD){ MODULOED = true; X%=MOD; } pos = R; } } else{ X+=PREF[R]-PREF[pos-1]; if(X >= MOD){ MODULOED = true; X%=MOD; } pos = R; } pos++; } int TARGET = R+1; for(int i = 20; i >= 0; --i){ if(pos+(1 << i) <= TARGET){ X*=jump[pos][i].first; X%=MOD; X+=jump[pos][i].second; X%=MOD; pos+=(1 << i); } } cout << X<< "\n"; } int main(){ ios_base::sync_with_stdio(0); cin.tie(0); int N, Q; cin >> N >> Q; WYD.push_back({0,0}); PREF.push_back(0); for(int l = 0; l < 500007; ++l){ Agtone[l]=-1; Bgtone[l]=-1; } for(int i = 1; i <= N; ++i){ long long A, B; cin >> A >> B; if(A > 0){ for(int z = lastA; z <= i; ++z){ Agtone[z]=i; } lastA=i+1; } if(B > 1){ for(int z = lastB; z <= i; ++z){ Bgtone[z]=i; } lastB = i+1; } WYD.push_back({A, B}); PREF.push_back(PREF[PREF.size()-1]+A); } for(int i = 1; i <= N; ++i){ if(WYD[i].second > 1){ jump[i][0]={WYD[i].second, 0}; } else jump[i][0]={1, WYD[i].first}; } for(int j = 1; j <= 20; ++j){ for(int i = 1; i <= N; ++i){ long long Af = jump[i][j-1].first; long long As = jump[i][j-1].second; if(i+(1 << (j-1)) <= N){ long long Bf = jump[i+(1 << (j-1))][j-1].first; long long Bs = jump[i+(1 << (j-1))][j-1].second; long long Ans1 = 0; long long Ans2 = 0; Ans2+=Bs; Ans2+=(As*Bf); Ans1+= Af*Bf; Ans1+=Ans2/MOD; Ans2%=MOD; Ans1%=MOD; jump[i][j]={Ans1, Ans2}; } else{ jump[i][j]={Af, As}; } } } /*for(int k = 0; k < 4; ++k){ for(int i = 1; i <= N; ++i){ cout << jump[i][k].first << " " << jump[i][k].second << " | "; } cout << "\n"; }*/ while(Q--){ solve(); } } |
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