#pragma GCC optimize ("Ofast")
#include<bits/stdc++.h>
using namespace std;
#define MD (1000000007U)
void*wmem;
char memarr[96000000];
template<class S, class T> inline S max_L(S a,T b){
return a>=b?a:b;
}
template<class T> inline void walloc1d(T **arr, int x, void **mem = &wmem){
static int skip[16] = {0, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1};
(*mem) = (void*)( ((char*)(*mem)) + skip[((unsigned long long)(*mem)) & 15] );
(*arr)=(T*)(*mem);
(*mem)=((*arr)+x);
}
template<class T> inline void walloc1d(T **arr, int x1, int x2, void **mem = &wmem){
walloc1d(arr, x2-x1, mem);
(*arr) -= x1;
}
template<class T> struct Arr1d{
int n;
int mem;
T*d;
T& operator[](int a){
return d[a];
}
void sort(){
reset();
std::sort(d, d+n);
}
int set_cumulative_sum;
int cumulative_sum_mem;
T*cumulative_sum;
void setSum(void){
int i;
set_cumulative_sum = 1;
if(cumulative_sum_mem < n+1){
delete[] cumulative_sum;
cumulative_sum = new T[n+1];
cumulative_sum_mem = n+1;
}
cumulative_sum[0] = 0;
for(i=(0);i<(n);i++){
cumulative_sum[i+1] = cumulative_sum[i] + d[i];
}
}
T getSum(int i, int j){
if(set_cumulative_sum==0){
setSum();
}
return cumulative_sum[j+1] - cumulative_sum[i];
}
int set_const_len_left;
int const_len_left_mem;
int*const_len_left;
void setConstLenLeft(void){
int i;
set_const_len_left = 1;
if(const_len_left_mem < n){
delete[] const_len_left;
const_len_left = new int[n];
const_len_left_mem = n;
}
for(i=(0);i<(n);i++){
const_len_left[i] = 1;
}
for(i=(1);i<(n);i++){
if(d[i]==d[i-1]){
const_len_left[i] = const_len_left[i-1] + 1;
}
}
}
int ConstLenLeft(int st, T val){
if(!set_const_len_left){
setConstLenLeft();
}
if(val != d[st]){
return 0;
}
return const_len_left[st];
}
int ConstLenLeft(int st){
if(!set_const_len_left){
setConstLenLeft();
}
return const_len_left[st];
}
int ConstLenLeftCyclic(int st, T val){
if(!set_const_len_left){
setConstLenLeft();
}
st %= n;
if(st < 0){
st += n;
}
if(val != d[st]){
return 0;
}
if(const_len_left[st] != st+1 || d[st] != d[n-1]){
return const_len_left[st];
}
if(const_len_left[n-1] == n){
return 1073709056;
}
return const_len_left[st] + const_len_left[n-1];
}
int ConstLenLeftCyclic(int st){
if(!set_const_len_left){
setConstLenLeft();
}
st %= n;
if(st < 0){
st += n;
}
if(const_len_left[st] != st+1 || d[st] != d[n-1]){
return const_len_left[st];
}
if(const_len_left[n-1] == n){
return 1073709056;
}
return const_len_left[st] + const_len_left[n-1];
}
int set_const_len_right;
int const_len_right_mem;
int*const_len_right;
void setConstLenRight(void){
int i;
set_const_len_right = 1;
if(const_len_right_mem < n){
delete[] const_len_right;
const_len_right = new int[n];
const_len_right_mem = n;
}
for(i=(0);i<(n);i++){
const_len_right[i] = 1;
}
for(i=(n-1)-1;i>=(0);i--){
if(d[i]==d[i+1]){
const_len_right[i] = const_len_right[i+1] + 1;
}
}
}
int ConstLenRight(int st, T val){
if(!set_const_len_right){
setConstLenRight();
}
if(val != d[st]){
return 0;
}
return const_len_right[st];
}
int ConstLenRight(int st){
if(!set_const_len_right){
setConstLenRight();
}
return const_len_right[st];
}
int ConstLenRightCyclic(int st, T val){
if(!set_const_len_right){
setConstLenRight();
}
if(val != d[st]){
return 0;
}
st %= n;
if(st < 0){
st += n;
}
if(const_len_right[st] != n-st || d[st] != d[0]){
return const_len_right[st];
}
if(const_len_right[0] == n){
return 1073709056;
}
return const_len_right[st] + const_len_right[0];
}
int ConstLenRightCyclic(int st){
if(!set_const_len_right){
setConstLenRight();
}
st %= n;
if(st < 0){
st += n;
}
if(const_len_right[st] != n-st || d[st] != d[0]){
return const_len_right[st];
}
if(const_len_right[0] == n){
return 1073709056;
}
return const_len_right[st] + const_len_right[0];
}
int set_dhist;
int dhist_mem;
int*dhist;
int*dhists;
T dhist_mn;
T dhist_mx;
void setDHist(void){
int i;
int len;
set_dhist = 1;
if(n==0){
return;
}
dhist_mn = dhist_mx = d[0];
for(i=(1);i<(n);i++){
if(dhist_mn > d[i]){
dhist_mn = d[i];
}
if(dhist_mx < d[i]){
dhist_mx = d[i];
}
}
len = dhist_mx - dhist_mn + 1;
if(dhist_mem < len){
delete[] dhist;
dhist = new int[len];
delete[] dhists;
dhists = new int[len+1];
dhist_mem = len;
}
for(i=(0);i<(len);i++){
dhist[i] = 0;
}
for(i=(0);i<(n);i++){
dhist[d[i] - dhist_mn]++;
}
dhists[0] = 0;
for(i=(0);i<(len);i++){
dhists[i+1] = dhists[i] + dhist[i];
}
}
int dHist(T x){
if(set_dhist==0){
setDHist();
}
if(n == 0 || x < dhist_mn || x > dhist_mx){
return 0;
}
return dhist[x - dhist_mn];
}
int dHist(T x, T y){
if(set_dhist==0){
setDHist();
}
if(x < dhist_mn){
x = dhist_mn;
}
if(y > dhist_mx){
y = dhist_mx;
}
if(n == 0 || x > y){
return 0;
}
return dhists[y-dhist_mn+1] - dhists[x-dhist_mn];
}
int set_shist;
int shist_mem;
T*shist;
void setSHist(void){
int i;
set_shist = 1;
if(shist_mem < n){
delete[] shist;
shist = new T[n];
shist_mem = n;
}
for(i=(0);i<(n);i++){
shist[i] = d[i];
}
std::sort(shist, shist + n);
}
int sHist(T x){
if(set_shist==0){
setSHist();
}
auto r = equal_range(shist, shist+n, x);
return r.second - r.first;
}
int sHist(T x, T y){
if(set_shist==0){
setSHist();
}
return upper_bound(shist, shist+n, y) - lower_bound(shist, shist+n, x);
}
int set_prevLE;
int prevLE_mem;
int*prevLE;
int setPrevLE(void *mem = wmem){
int i;
int s = 0;
int*st;
set_prevLE = 1;
if(prevLE_mem < n){
delete[] prevLE;
prevLE = new int[n];
prevLE_mem = n;
}
walloc1d(&st, n, &mem);
for(i=(0);i<(n);i++){
while(s && d[st[s-1]] > d[i]){
s--;
}
if(s==0){
prevLE[i] = -1;
}
else{
prevLE[i] = st[s-1];
}
st[s++] = i;
}
}
int PrevLE(int i){
if(set_prevLE==0){
setPrevLE();
}
return prevLE[i];
}
int set_prevLT;
int prevLT_mem;
int*prevLT;
int setPrevLT(void *mem = wmem){
int i;
int s = 0;
int*st;
set_prevLT = 1;
if(prevLT_mem < n){
delete[] prevLT;
prevLT = new int[n];
prevLT_mem = n;
}
walloc1d(&st, n, &mem);
for(i=(0);i<(n);i++){
while(s && d[st[s-1]] >= d[i]){
s--;
}
if(s==0){
prevLT[i] = -1;
}
else{
prevLT[i] = st[s-1];
}
st[s++] = i;
}
}
int PrevLT(int i){
if(set_prevLT==0){
setPrevLT();
}
return prevLT[i];
}
int set_prevGE;
int prevGE_mem;
int*prevGE;
int setPrevGE(void *mem = wmem){
int i;
int s = 0;
int*st;
set_prevGE = 1;
if(prevGE_mem < n){
delete[] prevGE;
prevGE = new int[n];
prevGE_mem = n;
}
walloc1d(&st, n, &mem);
for(i=(0);i<(n);i++){
while(s && d[st[s-1]] < d[i]){
s--;
}
if(s==0){
prevGE[i] = -1;
}
else{
prevGE[i] = st[s-1];
}
st[s++] = i;
}
}
int PrevGE(int i){
if(set_prevGE==0){
setPrevGE();
}
return prevGE[i];
}
int set_prevGT;
int prevGT_mem;
int*prevGT;
int setPrevGT(void *mem = wmem){
int i;
int s = 0;
int*st;
set_prevGT = 1;
if(prevGT_mem < n){
delete[] prevGT;
prevGT = new int[n];
prevGT_mem = n;
}
walloc1d(&st, n, &mem);
for(i=(0);i<(n);i++){
while(s && d[st[s-1]] <= d[i]){
s--;
}
if(s==0){
prevGT[i] = -1;
}
else{
prevGT[i] = st[s-1];
}
st[s++] = i;
}
}
int PrevGT(int i){
if(set_prevGT==0){
setPrevGT();
}
return prevGT[i];
}
int set_nextLE;
int nextLE_mem;
int*nextLE;
int setNextLE(void *mem = wmem){
int i;
int s = 0;
int*st;
set_nextLE = 1;
if(nextLE_mem < n){
delete[] nextLE;
nextLE = new int[n];
nextLE_mem = n;
}
walloc1d(&st, n, &mem);
for(i=(n)-1;i>=(0);i--){
while(s && d[st[s-1]] > d[i]){
s--;
}
if(s==0){
nextLE[i] = n;
}
else{
nextLE[i] = st[s-1];
}
st[s++] = i;
}
}
int NextLE(int i){
if(set_nextLE==0){
setNextLE();
}
return nextLE[i];
}
int set_nextLT;
int nextLT_mem;
int*nextLT;
int setNextLT(void *mem = wmem){
int i;
int s = 0;
int*st;
set_nextLT = 1;
if(nextLT_mem < n){
delete[] nextLT;
nextLT = new int[n];
nextLT_mem = n;
}
walloc1d(&st, n, &mem);
for(i=(n)-1;i>=(0);i--){
while(s && d[st[s-1]] >= d[i]){
s--;
}
if(s==0){
nextLT[i] = n;
}
else{
nextLT[i] = st[s-1];
}
st[s++] = i;
}
}
int NextLT(int i){
if(set_nextLT==0){
setNextLT();
}
return nextLT[i];
}
int set_nextGE;
int nextGE_mem;
int*nextGE;
int setNextGE(void *mem = wmem){
int i;
int s = 0;
int*st;
set_nextGE = 1;
if(nextGE_mem < n){
delete[] nextGE;
nextGE = new int[n];
nextGE_mem = n;
}
walloc1d(&st, n, &mem);
for(i=(n)-1;i>=(0);i--){
while(s && d[st[s-1]] < d[i]){
s--;
}
if(s==0){
nextGE[i] = n;
}
else{
nextGE[i] = st[s-1];
}
st[s++] = i;
}
}
int NextGE(int i){
if(set_nextGE==0){
setNextGE();
}
return nextGE[i];
}
int set_nextGT;
int nextGT_mem;
int*nextGT;
int setNextGT(void *mem = wmem){
int i;
int s = 0;
int*st;
set_nextGT = 1;
if(nextGT_mem < n){
delete[] nextGT;
nextGT = new int[n];
nextGT_mem = n;
}
walloc1d(&st, n, &mem);
for(i=(n)-1;i>=(0);i--){
while(s && d[st[s-1]] <= d[i]){
s--;
}
if(s==0){
nextGT[i] = n;
}
else{
nextGT[i] = st[s-1];
}
st[s++] = i;
}
}
int NextGT(int i){
if(set_nextGT==0){
setNextGT();
}
return nextGT[i];
}
void reset(){
set_cumulative_sum = 0;
set_const_len_left = 0;
set_const_len_right = 0;
set_dhist = 0;
set_prevLE = set_prevLT = set_prevGE = set_prevGT = 0;
set_nextLE = set_nextLT = set_nextGE = set_nextGT = 0;
}
void memory_expand(int nn){
if(mem < nn){
delete[] d;
d = new T[nn];
mem = nn;
}
}
void malloc(int nn){
reset();
memory_expand(nn);
n = nn;
}
void setN(int nn){
reset();
memory_expand(nn);
n = nn;
}
void set(vector<T> &a){
int i;
int nn = a.size();
setN(nn);
for(i=(0);i<(nn);i++){
d[i] = a[i];
}
}
void set(int nn, T a[]){
int i;
setN(nn);
for(i=(0);i<(nn);i++){
d[i] = a[i];
}
}
void free(){
destructor();
}
void constructor(){
n = mem = 0;
d = NULL;
set_cumulative_sum = 0;
cumulative_sum_mem = 0;
cumulative_sum = NULL;
set_const_len_left = 0;
const_len_left_mem = 0;
const_len_left = NULL;
set_const_len_right = 0;
const_len_right_mem = 0;
const_len_right = NULL;
set_dhist = 0;
dhist_mem = 0;
dhist = NULL;
dhists = NULL;
set_shist = 0;
shist_mem = 0;
shist = NULL;
set_prevLE = set_prevLT = set_prevGE = set_prevGT = 0;
prevLE_mem = prevLT_mem = prevGE_mem = prevGT_mem = 0;
prevLE = prevLT = prevGE = prevGT = NULL;
set_nextLE = set_nextLT = set_nextGE = set_nextGT = 0;
nextLE_mem = nextLT_mem = nextGE_mem = nextGT_mem = 0;
nextLE = nextLT = nextGE = nextGT = NULL;
}
void constructor(int nn){
constructor();
malloc(nn);
}
void destructor(){
delete[] d;
d = NULL;
mem = n = 0;
set_cumulative_sum = 0;
cumulative_sum_mem = 0;
delete[] cumulative_sum;
cumulative_sum = NULL;
set_const_len_left = 0;
const_len_left_mem = 0;
delete[] const_len_left;
const_len_left = NULL;
set_const_len_right = 0;
const_len_right_mem = 0;
delete[] const_len_right;
const_len_right = NULL;
set_dhist = 0;
dhist_mem = 0;
delete[] dhist;
delete[] dhists;
dhist = NULL;
set_shist = 0;
shist_mem = 0;
delete[] shist;
shist = NULL;
set_prevLE = set_prevLT = set_prevGE = set_prevGT = 0;
prevLE_mem = prevLT_mem = prevGE_mem = prevGT_mem = 0;
delete[] prevLE;
delete[] prevLT;
delete[] prevGE;
delete[] prevGT;
prevLE = prevLT = prevGE = prevGT = NULL;
set_nextLE = set_nextLT = set_nextGE = set_nextGT = 0;
nextLE_mem = nextLT_mem = nextGE_mem = nextGT_mem = 0;
delete[] nextLE;
delete[] nextLT;
delete[] nextGE;
delete[] nextGT;
nextLE = nextLT = nextGE = nextGT = NULL;
}
Arr1d(){
constructor();
}
Arr1d(int nn){
constructor(nn);
}
~Arr1d(){
destructor();
}
}
;
#define main dummy_main
int main(){
wmem = memarr;
return 0;
}
#undef main
Arr1d<int> A;
class Solution{
public:
int waysToSplit(vector<int>& nums){
int i;
int N = nums.size();
int x = 1;
int y = 1;
long long res = 0;
A.set(nums);
for(i=(1);i<(N-1);i++){
while(x < N-i && A.getSum(0,i-1) > A.getSum(i,i+x-1)){
x++;
}
while(y < N-i && A.getSum(i,i+y-1) <= A.getSum(i+y,N-1)){
y++;
}
if(y > x){
res += y - x;
}
x =max_L(1, x-1);
y =max_L(1, y-1);
}
return res % MD;
}
}
;
// cLay version 20210103-1
// --- original code ---
// #define main dummy_main
// {}
// #undef main
//
// Arr1d<int> A;
//
// class Solution {
// public:
// int waysToSplit(vector<int>& nums) {
// int N = nums.size(), x = 1, y = 1;
// ll res = 0;
//
// A.set(nums);
// rep(i,1,N-1){
// while(x < N-i && A.getSum(0,i-1) > A.getSum(i,i+x-1)) x++;
// while(y < N-i && A.getSum(i,i+y-1) <= A.getSum(i+y,N-1)) y++;
// if(y > x) res += y - x;
// x = max(1, x-1);
// y = max(1, y-1);
// }
//
// return res % MD;
// }
// };